Mathematics High School

what is the reduced product of 2/3 x 5/8?

Answers

Answer 1

5/12 would be the reduced product

Answer 2

Here you go! Hope this helps!

What Is The Reduced Product Of 2/3 X 5/8?

Related Questions

The people on this app are mean for not answering

Answers

aggreed very mean.....

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1) When determining the mathematics content and learning goals for a lesson, the teacher should do all of the following EXCEPT:
A) Consult his or her state's curriculum standards.
B) Ask, "What is it my students should be able to do at the end of this lesson?"
C) Plan goals that will take no longer than a day for students to accomplish.
D) Be sure to focus on the mathematics, rather than just the activity.

Answers

1) Number sense, arithmetic operations, algebra, geometry, data analysis, and probability are some of the topics that are commonly covered in math classes.

The need of developing problem-solving and procedural fluency skills is underlined. To ensure they have a solid basis for future learning, students may also receive training on arithmetic concepts they missed in earlier grades.

2) The use of real-world issues, direct education, cooperative learning, and the use of technology to aid learning are some particular methods of mathematical instruction that are encouraged.

Additionally, emphasis is placed on encouraging a growth mentality and a positive attitude toward mathematics.

3) Direct instruction, visual aids like graphs and diagrams, manipulatives and hands-on activities, scaffolding, and systematic review and practice are some specific techniques used to teach fundamental mathematical instruction.

In order to promote critical thinking and the growth of students' problem-solving abilities, teachers may also employ questioning strategies.

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When multiplying two negative integers, what is the sign of the product?
positive
negative
zero
one
Mark this and return
Save and Exit
y Next
Sul

Answers

Answer:

positive

Step-by-step explanation:

negative and negative = positive

positive and positive = positive

positive and negative = negative

negative and positive = negative

hope u got what u needed

Answer:

The correct answer is positive

Step-by-step explanation:

Negitive x Negitive = Positive

Positive x Positive = Positive

Negitive x Postive = Negitive

Positive x Negitive = Negitive

This should help you for next time you have a question like this.

I hope this helps.

Consider a continuous-time Markov chain with three states 1, 2, 3, 4, 5 and transition rates q12=1, q13 = 2, q21 = 0, q23 = 3, q31 = 0, q32 = 0. (1) Write the system of ODEs for the corresponding transition probabilities Pᵢⱼ (t) . (2) Suppose that the initial state is 1. What is the probability that after the first transition, the process X(t) enters state 2?

Answers

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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kim and her younger sister gert at the beach kim is 5 1/2 feet and is casting a 7 ft shadow if gerts shadow is 4 ft how tall is gert?

Answers

Gert is 2 1/2 feet tall

Write 11√11 in the form √a
where a is an integer to be found.

Answers

The value of 11√11 in form of √a is √1331.

What is Square root?

The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is \sqrt{ } square root of, end square root . Finding the square root of a number is the opposite of squaring a number.

Given:

11√11, we have to write in the form of √a.

First, anything that comes out of the root have a pair when turns inside the root like (2 x 2 x 2) then only one '2' comes outside the root which can be seen as 2√2.

Now, 11√11 can be written as

= √11 x 11 x 11

= √1331.

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i need answer big answer good answer

Answers

Step-by-step explanation:

you did not include the shown numbers to pick from.

so, I can give you my own examples, but since I don't see your examples, I can't identify any non-fitting or out-of-context number.

berween 2/7 and 2/3 are for example

2/4, 2/5, 2/6

to give you more background, let's compare 2/7 and 2/3 by bringing them to the same denominator (bottom number).

the common denominator is the LCM (least common multiple) of the 2 original numbers (7, 3).

for such small numbers we don't need a formal approach. we can just find the smallest number that is divisible by 7 and 3.

so, let's go with multiples of 7.

is 7 divisible by 3 ? no.

is 14 divisible by 3 ? no

is 21 divisible by 3 ? yes.

so, 21 is the common denominator :

2/7 must be multiplied by 3/3 to get it to .../21 :

2/7 × 3/3 = 2×3 / (7×3) = 6/21

2/3 must be multiplied by 7/7 to get it to .../21 :

2/3 × 7/7 = 2×7 /(3×7) = 14/21

now we see even more fractions between 2/7 and 2/3 :

the fractions between

6/21 and 14/21 are directly

7/21, 8/21, 9/21, 10/21, 11/21, 12/21, 13/21

plus the previously found fractions

2/4 = 1/2, 2/5, 2/6 = 1/3

now every fraction that is between e.g. 2/5 and 2/6 is also between 2/7 and 2/3. or every fraction between 10/21 and 11/21. and so on.

that would be between

10/30 and 12/30 : e.g. 11/30

or between

20/42 and 22/42 : e.g. 21/42 = 1/2 (so, here we hit by pure chance on a number we had already found; that will happen more and more often the more detailed we go into the intervals).

of course, at the end, there are infinitely many fractions (rational numbers) between 2/7 and 2/3.

as between any other pair of numbers (except for identical numbers, of course) .

A study shows that 50% of people in a community watch television during dinner. Suppose you select 10 people at random from this population. Find each probability.

P (at least 5 of the 10 people watch television during dinner)

Answers

Answer:

Step-by-step explanation:

To find the probability that at least 5 of the 10 people watch television during dinner, we need to consider the different possible scenarios. We can calculate the probability of each scenario and then sum them up.

Let's break it down:

Scenario 1: Exactly 5 people watch television during dinner

We can choose 5 people out of 10 in (10 choose 5) ways:

P(Exactly 5 people) = (10 choose 5) * (0.5)^5 * (0.5)^(10-5)

Scenario 2: Exactly 6 people watch television during dinner

We can choose 6 people out of 10 in (10 choose 6) ways:

P(Exactly 6 people) = (10 choose 6) * (0.5)^6 * (0.5)^(10-6)

Scenario 3: Exactly 7 people watch television during dinner

We can choose 7 people out of 10 in (10 choose 7) ways:

P(Exactly 7 people) = (10 choose 7) * (0.5)^7 * (0.5)^(10-7)

Scenario 4: Exactly 8 people watch television during dinner

We can choose 8 people out of 10 in (10 choose 8) ways:

P(Exactly 8 people) = (10 choose 8) * (0.5)^8 * (0.5)^(10-8)

Scenario 5: Exactly 9 people watch television during dinner

We can choose 9 people out of 10 in (10 choose 9) ways:

P(Exactly 9 people) = (10 choose 9) * (0.5)^9 * (0.5)^(10-9)

Scenario 6: All 10 people watch television during dinner

P(Exactly 10 people) = (0.5)^10

Now, let's calculate the probabilities for each scenario:

P(at least 5 people watch television during dinner) = P(Exactly 5 people) + P(Exactly 6 people) + P(Exactly 7 people) + P(Exactly 8 people) + P(Exactly 9 people) + P(Exactly 10 people)

Finally, we can sum up the probabilities:

P(at least 5 people watch television during dinner) = P(Exactly 5 people) + P(Exactly 6 people) + P(Exactly 7 people) + P(Exactly 8 people) + P(Exactly 9 people) + P(Exactly 10 people)

Please note that the calculations provided above assume that each selection is independent, and the probability of each person watching television during dinner remains constant.

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the number of customers served per day by a large department store is normally distributed, with a mean of 3,250 customers and a standard deviation of 320. find the range of customers served on the middle 50 percent of days.

Answers

The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers, under the condition that mean of 3,250 customers and a standard deviation of 320.

Here,
The middle 50% of days means that we are observing for the range of values that comprise the middle 50% the data.

In order o find range, we have to find the z-scores that correspond to the 25th and 75th percentiles and then change these z-scores back to raw scores using the formula
z = (x - μ) / σ
here x = raw score,
μ = mean,
σ = standard deviation

The z-score concerning to the 25th percentile is -0.6745 and the z-score concerning the 75th percentile is +0.6745.
Using these z-scores and the formula, we evaluate the raw scores that concerning the percentiles
z = (x - μ) / σ
-0.6745 = (x - 3250) / 320
x = 2994
z = (x - μ) / σ
+0.6745 = (x - 3250) / 320
x = 3514

The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers.

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30. A model train is 4 inches long. If the
scale factor is 1 in : 48 it, what is the
actual length of the train?
F 192 feet
H 12 nches
G 12 feet
s 192 inches

Answers

I think it is 192 inches long?

Help me with this question please and thank you

Answers

Answer:

B, C, E

Step-by-step explanation:

The solution of the inequality is x ≤ -7

The graph would have a closed circle because it's less than or equal to

-7 is a part of the solution because it's less than or equal to -7

Answer:

Step-by-step explanation:

Subtract 22 from both sides to get $x\leq -7$. So the 2nd one is correct

The sign is less than or equal to, so the graph does indeed have a closed circle. So the 3rd one is also correct

The answer is x is less than or EQUAL to -7, so -7 is included in the asnwer. So the 5th one is also correct

Express each of the following numbers as a product of its prime factors. Use exponents to represent repeated multiplication, when applicable. An example is given below.

40 = 2x20 = 2x2x10 = 2x2x2x5 = 2^3 x 5

a. 30
b. 300
c. 17
d. 21

Answers

30= 3x10= 3x2x5
300= 3x100=3x10x10=3x2^2x5^2
17=17x1=17
21=3x7

What shapes can the composite figure be decomposed into? Select two options.

A hexagon.
a rectangle and a triangle
a rectangle and two triangles
a square and two triangles
two rectangles
two trapezoids

Answers

Answer:

one of them is two trapezoids

Step-by-step explanation:

cos(2x) + 9cot(x)+5=0

Answers

Answer:

hbd chu DAI bi or something else true I have to do my area and technology and hi

Write the equation of a line that is parallel to y = 9 and that passes through the point (3, -8)

Answers

Answer:

My answer was: y=0.5x+16.5

Step-by-step explanation:

you can use point-slope form

y-y1=m(x-x1)+b

y-12=0.5(x-(-9))+3

y-12=0.5(x+9)+3

y=0.5x+4.5+3+12

y=0.5x+19.5

Hope it helped or right

DO ALL STEPS AND SHOW ALL STEPS CLEARLY AND WRITTEN ON WHITE PAPER HAVE TO HAND WRITTEN AND MAKE SURE YOUR ANSWER IS CORRECT 1. Shown below is the rref of an augmented matrix for a system of linear equations. Use the matrix for parts a-c. [1 0 0 5 2] 0 1 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 Lo 0 0 0 0 0 a.) How many unknowns does this system have?

Answers

To determine the number of unknowns in the system of linear equations represented by the given augmented matrix, we need to count the number of variables or unknowns present in the system.

Looking at the augmented matrix:

[1 0 0 5 2]

[0 1 0 0 0]

[0 0 1 2 1]

[0 0 0 0 0]

We can see that there are three columns with variables, namely x, y, and z. Therefore, the system has three unknowns: x, y, and z.

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The given augmented matrix represents a system of linear equations in row-reduced echelon form. Each row of the matrix corresponds to an equation in the system, and the columns represent the coefficients and constants of the variables.

To determine the number of unknowns in the system, we count the number of columns (excluding the last column representing the constants). In this case, we have 4 columns: 1, 2, 3, and 4. Therefore, the system has 4 unknowns.

The first paragraph provides a summary of the answer, stating that the system of linear equations represented by the given augmented matrix has 4 unknowns.

The second paragraph explains the reasoning behind the answer, clarifying that the number of unknowns is equal to the number of columns in the matrix (excluding the last column representing constants).

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What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio? A number line goes from negative 5 to positive 10. Point D is at negative 2 and point F is at positive 7. A line is drawn from point D to point F.

–1
0
2
3

the answer is 0

I was looking for this answer and couldn't find it, I got the answer but I'm posting this for others. fill free to get the points for free.

Answers

Answer:

The correct option is 3.

Step-by-step explanation:

It is provided that:

A number line goes from negative 5 to positive 10.

Point D is at negative 2, i.e. Point D = -2.

Point F is at positive 7, i.e. Point F = 7.

A line is drawn from point D to point F.

Point G divides the directed line segment from D to F into a 5 : 4 ratio.

Consider the diagram below.

The distance between the points D and F is of 9 units (from -2 to 7).

If Point G divides the directed line segment from D to F into a 5 : 4 ratio, then the point G must be located at 3.

Thus, the correct option is 3.

At the location of point, G is 2, which partitions the directed line segment from D to F into a 5:4 ratio.

Given that,

A number line goes from negative 5 to positive 10.

Point D is at negative 2 and point F is at positive 7.

A line is drawn from point D to point F.

We have to determine,

What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio?

According to the question,

A number line goes from negative 5 to positive 10.

Point D is at negative 2 and point F is at positive 7.

The distance between point D and F is,

$=\sqrt{(7-(-2))^2}\\\\= \sqrt{(9^2)}\\\\= 9$

If Point G divides the directed line segment from D to F into a 5: 4 ratio, then,

$\dfrac{ G-F}{D-G} = \dfrac{5}{4}\\\\4(G-F) = 5(D-G)\\\\4G -4F = 5D-5G\\\\ 9G = 5D +4F \\\\ G =\dfrac{ 5D +4F}{9} \\\\ G = \dfrac{5(-2) +4(7)}{9}\\\\G =\dfrac{ (-10 +28)}{9} \\\\G = \dfrac{18}{9}\\\\ G = 2$

Hence, At the location of point G is 2, which partitions the directed line segment from D to F into a 5:4 ratio.

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Geometry, I need help with parallelograms

Answers

Answer:

x = 4.2

Step-by-step explanation:

8x - 14 = 2x + 11 (Given)

8x = 2x + 25 (Addition)

6x = 25 (subtraction)

x = 4.16666666667 (division) which is about

x = 4.2 (rounding to nearest tenth)

a circular pool is surrounded by a brick walkway 3 m wide. find the ra- dius of the pool if the area of the walk- way is 198 m*.

Answers

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

$\pi$(R +3)^2

Area of the pool is:

$\pi R^2$

Now, Our equation is:;

$\pi$(R +3)^2 - $\pi R^2$ = 198

$\pi$((R+3)^2 - $R^2$) = 198

Open the inner bracket :

$\pi$($R^2+6R+9-R^2$) = 198

$\pi$(6R +9) = 198

6R+9 = 198/$\pi$

6R = 198/$\pi$ - 9

R = (198/$\pi$ - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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17 of 3017 of 30 Questions

Question 1
Rectangle PQRS is graphed on the coordinate plane.

Part A

Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle P'Q'R'S' (not shown). What are the coordinates of point R'?

Answers

a) When rotating 90 degrees clockwise, (x,y) maps onto (-y,x), meaning R(6,-7) maps onto (7, 6).

The z score associated with the highest 10% is closest to
a. .0398
b. .5398
c. 1.28
d. -1.28

Answers

The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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For which equation is g = 5 not the solution?
3 g = 15
4 g = 25
8 g = 40
6 g = 30

Answers

4g because 4x5 is not 25.
So 4 g = 25 is incorrect

Answer:

4 g 25

Step-by-step explanation:

in the _____ theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

Answers

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

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An economics graduate student in the united states earns an $18,000 stipend per year. the u.s. sees significant inflation. how might the student react?

Answers

The reaction of the graduate student on inflation is that a cost-of-living increase to her stipend.

What is inflation?

Inflation is the pace of expansion in costs over a given time-frame. Inflation is regularly a wide measure, like the general expansion in costs or the expansion in the typical cost for many everyday items in a country.

According to question:

Inflation is term which states there is an expansion in the cost level for any labor and products.

In the unique situation, a set of experiences graduate living in the US got a payment of 18,000 dollar. However, there is a critical expansion that US economy endures. In this way the expense of products and the administrations accessible to individuals increments quickly. Individuals presently need to spend more on everything. Accordingly the alumni understudy requirements to request the typical cost for most everyday items to be remembered for the payment as need might arise to spend more on living.

Thus, graduate student argue on the a cost-of-living increase to her stipend.

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pick a block of 5 digits from a random-digit table. what is the probability that the block picked is less than 30000?

Answers

The probability of picking a block of 5 digits from a random-digit table that is less than 30000 is 0.3 or 30%.

To calculate the probability, we need to consider the range of possible outcomes for the block of 5 digits. Since we want the block to be less than 30000, the first digit can be any digit from 0 to 2.

For the first digit, there are three options (0, 1, and 2) that satisfy the condition. For the remaining four digits, each digit can be any digit from 0 to 9, allowing for a total of 10 options for each digit.

To find the total number of possible outcomes, we multiply the number of options for each digit: 3 options for the first digit and 10 options for each of the remaining four digits. Therefore, the total number of possible outcomes is 3 * 10 * 10 * 10 * 10 = 30,000.

Since each possible outcome is equally likely, the probability of picking a block of 5 digits less than 30000 is given by the number of favorable outcomes (30,000) divided by the total number of possible outcomes (100,000). Thus, the probability is 30,000 / 100,000 = 0.3 or 30%.

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triangle ABC with vertices at A negative 14 comma negative 4, B negative 6 comma negative 4, and C negative 6 comma 4 and triangle A prime B prime C prime with vertices at A prime negative 21 comma negative 6, B prime negative 9 comma negative 6, and C prime negative 9 comma 6

Determine the scale factor used to create the image.

three fourths
2
one half
1.5

Answers

The scale factor used to create the image is given as follows:

k = 1.5.

What is a dilation?

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The vertices of the dilated triangle A'B'C' are obtained multiplying the vertices of the original triangle ABC by 1.5, hence the scale factor is given as follows:

k = 1.5.

For example, the vertices A and A' are given as follows:

A(-14,-4).A'(-21, -6).

(that is, we multiply the coordinates of A by 1.5 to obtain the coordinates of A').

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Find the area of the region bounded by the graph of f and the x-axis on the given interval. f(x) = x^2 - 35; [-1, 4]

Answers

the area of the region bounded by the graph of f(x) = $x^{2}$ - 35 and the x-axis on the interval [-1, 4] is 8/3 square units.

To find the area of the region bounded by the graph of f(x) = $x^{2}$ - 35 and the x-axis on the interval [-1, 4], we use the concept of definite integration. The integral of a function represents the signed area under the curve between two given points.

By evaluating the integral of f(x) = $x^{2}$ - 35 over the interval [-1, 4], we find the antiderivative of the function and subtract the values at the upper and lower limits of integration. This gives us the net area between the curve and the x-axis within the given interval.

In this case, after performing the integration calculations, we obtain a result of -8/3. However, since we are interested in the area, we take the absolute value of the result, yielding 8/3. This means that the region bounded by the graph of f(x) = $x^{2}$ - 35 and the x-axis on the interval [-1, 4] has an area of 8/3 square units.

It is important to note that the negative sign of the integral indicates that the region lies below the x-axis, but by taking the absolute value, we consider the magnitude of the area only.

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9. a plane flies from base camp to lake a, 280 km away, in a direction of 200 north of east. after dropping off supplies it flies to lake b, which is 190 km at 30 0 west of north from lake a. graphically and check using trig, determine the distance and direction from lake b to camp.

Answers

The distance from lake b to camp is 310 km and the direction of lake b to camp is 57° S of W.

Distance is a numerical value. The length between the two points is measured by distance. The face or position of an object or person can be said by direction.

There are four cardinal directions which are the main four compass directions. The four directions are North, East, West and South. North-East, North-West, South-East and South-West also come under directions.

As per the question,

Distance from base camp to lake a = 280 kmThe direction of the plane = 20.0° north of east Distance to lake b = 190 kmThe direction of the plane = 30.0° west of north

With a scale of unit 1, the vector from the base camp to the lake to the vector connecting lakes a and b is graphically represented.

Therefore, 310 km is the distance from the lake b to base camp and 57.0° south of west is the direction of the plane.

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9. a plane flies from base camp to lake a, 280 km away, in a direction of 200 north of east. after dropping

The Perimeter of the triangle is 141cm work out value of p

Answers

By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.

How to determine the lengths of the side of a triangle

The three sides of a triangle are consecutive if and only if they are represented by three consecutive natural numbers. The perimeter is the sum of the three side lengths, whose formula is presented below:

x + (x + 1) + (x + 2) = 141

3 · x + 3 = 141

3 · (x + 1) = 141

x + 1 = 47

x = 46

By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.

Remark

The statement is complete, the correct statement is the following:

The triangle has three consecutive sides and its perimeter is 141 centimeters. Work out the value of each side.

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help help help help help help help help help help help help help help help help help help help help help hel

1. Which equation represents a line that has a slope of 2 and passes through the origin?
A y=2x
B. y=x+2
C. y x
D. y=-x

A regular jeepney ride costs $12.00 for the first 4 km, and each additional km adds P1.50 to the fare
2. Which of the following can be used to compute a regular fare (F), in pesos, for a 6-km nde?
A. F = 12(7)
B. F=12(7)+1.50
C.=12(150)+7
D.=12+2(1.50)

A regular jeepney ride costs P12.00 for the first 4 km, and each additional km adds P1.50 to the fare
3. How much is the regular fare for a 6-km ride?
A. P15
B. P13.50
C. P14.50
D. P16

4.Which equation represents a vertical line?
A. y =2x
B. x = 2
C. y = 3
D. y = -x

Answers

1. Which equation represents a line that has a slope of 2 and passes through the origin?

A y=2x

B. y=x+2

C. y x

D. y=-x

2. A regular jeepney ride costs $12.00 for the first 4 km, and each additional km adds P1.50 to the fare. Which of the following can be used to compute a regular fare (F), in pesos, for a 6-km nde?

A. F = 12(7)

B. F=12(7)+1.50

C.=12(150)+7

D.=12+2(1.50)

3. A regular jeepney ride costs P12.00 for the first 4 km, and each additional km adds P1.50 to the fare. How much is the regular fare for a 6-km ride?

A. P15

B. P13.50

C. P14.50

D. P16

4.Which equation represents a vertical line?

A. y =2x

B. x = 2

C. y = 3

D. y = -x

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