One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 45 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer: The LARGEST angle has a measure of

Answer:

8%

Step-by-step explanation:

100/8300=.01204819277

.01204819277x664=8

they donated 8% of their earnings

have a great day :D

Answer:

this is hard but it si 55 percent

Step-by-step explanation:

If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.

If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.

Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.

This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.

Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.

Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.

It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.

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Answer:

the fourth answer is prime.

Step-by-step explanation:

in order to break down a 4 term polynomial, create groups of the polynomials. seperate each in 2 group. then, fine the greatest common fastor of each group that are in parenthesis.It was easy to break the first three. the last one however, was hard to break apart because in the second group, you cant find the greatest common factor between -x and 2. So the bottom one is prime

The mean is 4

To find the mean of a data set, we use:

The values given are:

2, 3, 4, 7

The total number of values are 4. Then:

A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125

ii)  solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.

C) See the description of the solution below.

Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.

The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:

0.80b + 65 ≤ 125

Now we can solve for b:

0.80b + 65 ≤ 125

0.80b ≤ 125 - 65

0.80b ≤ 60

b ≤ 75

Therefore, the dance committee can buy up to 75 balloons to stay within their budget.

To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.

The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.

As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.

Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.

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Full Question:


Since the above question is incomplete, it appears you are referring to the question below.


The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.

A) Write and solve an inequality to show the number of balloons that the dance committee could buy.

B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.

Answer:

I think 3 17/21

Step-by-step explanation:

Answer:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

10/3×8/7

Applying the fractions formula for multiplication,

=10/3 x 8/7

=80/21

Simplifying 80/21, the answer is

=3 17/21

Answer:

0

Step-by-step explanation:

7 + (-8) + 2 + (-1)

is the same as:

7 - 8 + 2 - 1

Simplify these:

-1 + 1

Solve:

0

Answer:

900 meters long

Step-by-step explanation:

Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?

at 15 meters per second for 60 seconds:

= time * speed

60* 15= 900 meters traveled,

so the street is 900 meters long.

There are no extraneous solutions when plugging -7 into x-5=2(x+1).

So extraneous solutions means the solutions that you get by solving an equation, but after you try plugging it back into your original equation, the solution does not work.

Now we have our solutions of x=7, and we just need to check whether it is extraneous or not. We can do this by taking x=1 and plugging it back into your original equation  x - 5 = 2(x + 1)

x - 5 = 2(x + 1)

-7 - 5 = 2(-7 + 1)

-12 = -14 + 2

-14 + 14

0 = 0

We end up getting that 0 = 0 which is correct,

Thus, there are no extraneous solutions.when plugging -7 into x-5=2(x+1).

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Answer:

2200

Step-by-step explanation:

Kilo means 1000, so kilometers are 1000 meters, therefore 2.2 kilometers = 2200 meters.

Answer: 2,200

Step-by-step explanation:

Multiply 2.2 with 1,000 because the km to meters conversion is 1,000.

Answer:

The required probability = 0.7143

Step-by-step explanation:

From the information given:

From a group of eight candidates

The no. of candidates that enrolled in internships = 5

The no. of candidates that enrolled in teaching = 3

Also, supposed all the eight candidates are equally qualified;

Then, Let assume that:

Y to represent the number of internship trainee candidates hired.

N to represent no. of candidates in a group = 8

r to represent those who enrolled in paid internship = 5

Now, N - r = 3 (for those who enrolled in traditional teaching program)

Suppose; n represent the positions for local teaching which is given as 3;

Then; selecting 3 from 8 whereby some enrolled in internships and some in traditional teaching programs;

Then,  let assume Y is a random variable that follows a hypergeometric distribution; we have:

\(p(Y = y) = \left \{ {{\dfrac{ \bigg (^r_y \bigg)\bigg (^{N-r}_{n-y} \bigg) }{ \bigg ( ^N_n \bigg) } } _\atop { ^{0, otherwise} } } \right.\)

\(p(Y = y) = \left \{ {{\dfrac{ \bigg (^5_y \bigg)\bigg (^{3}_{3-y} \bigg) }{ \bigg ( ^8_3 \bigg) } } } } \right, y= 0,1,2,3\)

Thus, the probability that two or more internship trained candidates are hired can be computed as:

p(Y ≥ 2) = p(Y=2) + p(Y =3)

\(p(Y \geq 2) = \dfrac{ \bigg ( ^5_2\bigg) \bigg ( ^3_1 \bigg)}{\bigg (^8_3 \bigg)} + \dfrac{\bigg (^5_3 \bigg) \bigg (^3_0 \bigg)}{\bigg ( ^8_3\bigg)}\)

\(p(Y \geq 2) = \dfrac{40}{56}\)

\(\mathbf{p(Y \geq 2) = 0.7143}\)

Answer:

135 Adult tickets and 70 Child tickets sold

Step-by-step explanation:

135*10 (adult ticket price) = 1,350

70*3 (child ticket price) = 210

$1,350 + $210 = $1,560

135 + 70 = 205 tickets sold

The solution of the expression is,

a) 3,724

b) 2,784

We have to given that,

a) Divide 70,756 by 19.

b) Subtract 940 from your answer to part a).​

Now, We can simplify as,

a) Divide 70,756 by 19.

⇒ 70,756 ÷ 19

⇒ 3,724

And, Subtract 940 from your answer to part a).​ that is, 3724

⇒ 3724 - 940

⇒ 2,784

Therefore, The solution of the expression is,

a) 3,724

b) 2,784

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Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Step-by-step explanation:

I think your answer may be 100?

Double Checked on this site, it correct:

Answer:

increase

Step-by-step explanation:

in which the base is more than 1.  In this problem, the base is 1.71.  The amount that the base is more than 1

Answer:

88

Step-by-step explanation:

72 + 95 + 100 + 85 + 88=440

440/5=88

Yes it is rational. Pi is irrational

The customer gets 5.66 hours of bike per dollar

At Hoffman's bike, it cost $17 to rent a bike for 3 hours

The number of hours gotten from the bike per dollar can be calculated as follows

17= 3
1= x

Cross multiply both sides

3x= 17

x= 17/3

x= 5.66

Hence it will cost the customer 5.66 hours to rent the bike for one dollar

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Answer:

\(54\pi \: {cm}^{2} \)

Step-by-step explanation:

Given:

A cone

l = 15 cm

r (radius) = 3 cm

Find: A (surface area) - ?

\(a(surface) = \pi {r}^{2} + \pi \times r \times l\)

\(a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 15 = 9\pi + 45\pi = 54\pi \: {cm}^{2} \)

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Tom's percentage score is above 75%, which is the passing threshold, we can conclude that Tom has indeed passed the assessment.

To determine if Tom has passed the assessment, we need to calculate his percentage score out of the total marks.

Percentage Score = (Tom's Score / Total Marks) * 100

Given that Tom's score is 98 marks and the total marks are 128:

Percentage Score = (98 / 128) * 100 ≈ 76.5625%

Since Tom's percentage score is above 75%, which is the passing threshold, we can conclude that Tom has indeed passed the assessment.

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Answer: Increases in X tend to be accompanied by increases in Y

Step-by-step explanation:

The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.

When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.

The number of tickets that Sam can buy, given the amount he has to spend and the price of admission, is 36 tickets.

The rate of change is $ 0.75 per attraction.

The table on the number of tickets and total cost is:

Number of tickets                 1                        5                 10               15

Total cost                          $ 10. 75             $ 13.75       $17.50        $ 21. 25

The number of tickets that Sam can buy when he has $ 37 is:

= (Amount to spend - Cost of admission ) / Cost per ticket

= ( 37 - 10 ) / 0.75

= 36 tickets

The rate of change is therefore the $ 0.75 charged per ticket per event.

The number of tickets for $ 10. 75 is:

= ( Total cost - Cost of admission ) / cost per ticket

= ( 10. 75 - 10 ) / 0.75

= 1 ticket

The cost of 5 tickets :

= ( Number of tickets x cost per ticket) + cost of admission

= (5 x 0. 75 ) + 10

= $ 13. 75

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Answer:

\(x^{2} \geq 186\neq\)

Step-by-step explanation:

Answer:

\(-12\)

Step-by-step explanation:

Let that number be \(x\). We can build an equation, and solve for \(x\).

\(4\) less than half of \(x\) is \(x/2-4\).

\(2\) more than \(x\) is \(x+2\).

We are given that the two quantities are equal, so we have that \(x/2-4=x+2\).

Adding \(4\) to both sides gives \(x/2=x+6\).

Multiplying both sides by \(2\) gives \(x=2(x+6)=2x+12\).

Subtracting \(2x\) from both sides gives \(-x=12\).

Multiplying both sides by \(-1\) gives \(x=-12\).

So, the number is \(\boxed{-12}\) and we're done!

The check is left as an exercise to the reader.

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Given that the number of condiments to choose from = 9

The number of arrangements of n items in a list can be obtained using the relation

\( {2}^{n} \)

Here, n = 9

Therefore, the Number of sandwiches that can be made is :

\( {2}^{9} = 512\)

The minimum number of condiments required in other to offer atleast 2000 different sandwiches :

This can be attained thus :

\( {2}^{n} \geqslant 2000\)

n = 11

\( {2}^{11} = 2048\)

Since 2^11 satisfies the inequality, then number of condiments to offer atleast 2000 different sandwiches is 11

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