find x in the following diagram provided.

Answer:

40,44,48,52

Step-by-step explanation:

These are multiples of 4 because 4 can be multiplied into all of them like

4x11=44

4x10=40

4x12=48

4x13=52

The value of the expression is 16x(x+1) / 10x² -14x -12

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given expression is

16/(x-2)  ÷ 4/(x+1) + 6/x

Simplify this to have

16 / (x-2) ÷ (10x + 6) / (x+1)(x)

this implies that 16/(x-2) * (x+1)(x)/(10x +6)

16(x² + x)/(x-2)(10x+6)

Therefore the value of the expression is

16x(x+1) / 10x² -14x -12

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The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B

(5/8)^-1 × (0.42)^2

= {1 ÷ (5/8)¹} × 0.42²

= {1 × (8/5)¹} × 0.42²

= (8/5)¹ × 0.42²

Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power

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Answer:

(1.6) (0.42)^2 C

Step-by-step explanation:

I had originally put B, but my teacher explained and said its C.

the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C

A) Completing the table to show the results of the survey is as follows:

                   How do you feel about a longer school year?

                  Very Happy    Unhappy   Neutral   Happy   Very Happy   Total

6th Grade           18                23              20         24               8               93

7th Grade            5                22               14          15               5                61          

8th Grade          24               25               22         12               8                91      

Total                  47                70               56         51              21             245

B) Combining the Very Happy and Unhappy categories into Dislike and the Happy and Very Happy categories into Like to form a new two-way table is as follows:

    How do you feel about a longer school year?

                  Dislikes    Likes

6th Grade      41           32

7th Grade      27          20

8th Grade     49          20

Total             117          72

A two-way table is a frequency table that shows the relative frequency of survey results with two columns.

From the two-way table, the number or frequency of Dislikes or Likes of the longer school year can be easily determined.

To compute the frequency table, the very unhappy and unhappy categories are combined (by addition) just as the very happy and happy categories, while the neutral category was eliminated.

    How do you feel about a longer school year?

                  Dislikes   Neutral   Likes   Total

6th Grade      41             20         32        93

7th Grade      27             14         20         61

8th Grade     49             22        20         91

Total             117             56         72     245

                   How do you feel about a longer school year?

                  Very Happy    Unhappy   Neutral   Happy   Very Happy   Total

6th Grade         18                 23              20         24               8               93

7th Grade            5                22              14          15               5                61          

8th Grade          24               25              22         12               8                91      

Total                  47                70              56        51               21             245

                                    = (23+22+25)                              = 21 (245 - 224)

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A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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Answer:

The compound inequality which is used to model the normal rage of pH values of water is:

x>6.5 and x<8.5    (6.5<x<8.5)

Step-by-step explanation:

It is given that:

Normal drinking water needs to have a pH of less than 8.5 and greater than 6.5.

This means that the pH level of the water will lie in the range in between 6.5 and 8.5 excluding them.

Hence, if the pH level is less than or equal to 6.5 or greater than or equal to 8.5 then it could not be used for drinking purpose.

If x represent the pH of the normal drinking water then:

                 6.5 < x < 8.5

i.e. x>6.5 and x<8.5

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Answer:

3:7

Step-by-step explanation:

Let x = pounds of the $10 rice in the mixture

Let y = pounds of the $30 rice in the mixture

Total cost of the $10 rice = 10x

Total cost of the $30 rice = 30y

(10x + 30y) / (x + y) = 24

Solve this equation for y/x:

10x + 30y = 24(x + y)

10x + 30y = 24x + 24y

30y - 24y = 24x - 10x

6y = 14x

y/x = 6/14  simplify the fraction

y/x = 3/7

So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.

The way to solve the equation for the width, w, is to divide both sides by l. The correct option is A. We want to get w by itself, so we would divide both sides by l

From the question, we are to determine how we can solve the given formula for area of rectangle for the width, w

The given formula is

A = lw

To solve the given equation for w, we will divide both sides of the equation by l

That is,

A/l = lw/l

So that

A/l = w

and

w = A/l

Hence, the way to solve the equation for the width, w, is to divide both sides by l. The correct option is A. We want to get w by itself, so we would divide both sides by l

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The amount $600 would be after 3 years at 8% interest compounded continuously is $755.83

Compound interest are amount of money added on amiunt invested.

Given the following parameters

P = $600
r = 8% = 0.08
t = 3 years

Using the compound interest formula

A(t) = Ao(1+r)^t
A(t) = 600(1.08)^3
A(3) = $755.83

Hence the $600 would amount to after 3 years at 8% interest compounded continuously is $755.83

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To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer:

5/7

Step-by-step explanation:

There are a couple ways to solve this.  One would be by finding the least common denominator for each one with 2/3, subtracting, and seeing what is left over.  Another way is converting to decimals.

2/3=0.666666

————————-

7/8=0.875

8/9=0.88888

4/5=0.8

5/7=0.7143

They are all greater than 2/3 (0.6666666), but 5/7 is the closest, so would have the least waste.

An Annual is not an example of an agreement.

The surface area of the cylinder is 905 square centimeters

From the question, we have the following parameters that can be used in our computation:

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

Using the above as a guide, we have the following:

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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The average of given set of integers is -17.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

The given set of integers are -20, -54, -93, 37 and 45.

Here, average = Sum of all the observations/Number of observations

= (-20-54-93+37+45)/5

= -85/5

= -17

Therefore, the average of given set of integers is -17.

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Answer: 70

Step-by-step explanation:

The solution of the table are;

1.  When x = 0 ,

The value of y is 12.

2.  When y = 0 ,

The value of x is 42.

3. When x = 7

The value of y is 10.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

The equation is given as;

2x + 7y = 84

Now, Complete the table as;

When x = 0

Then, The equation gives,

2 × 0 + 7y = 84

7y = 84

y = 12

So, When x = 0 ,

The value of y is 12.

When y = 0

Then, The equation gives,

2x + 7 × 0 = 84

2x = 84

x = 42

So, When y = 0 ,

The value of x is 42.

When x = 7

Then, The equation gives,

2 × 7 + 7y = 84

14 + 7y = 84

7y = 84 - 14

7y = 70

y = 10

So, When x = 7

The value of y is 10.

Thus, The solution of the table are;

1.  When x = 0 ,

The value of y is 12.

2.  When y = 0 ,

The value of x is 42.

3. When x = 7

The value of y is 10.

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Answer: D. 16.33

Step-by-step explanation:

Answer:

Step-by-step explanation: 36-9 equals 27. You can only fit 4 evenly so thats the answer

The maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that the height of the space in which boxes are needed to be stored is 36 inches high. Also, the height of the box is 6 inches.

But a space of 9 inches must be left at the top. Therefore, the space left to keep the boxes is,

Space left to keep the boxes = 36 inches - 9 inches

                                                 = 27 inches

Now, the number of boxes that can be put in the leftover space is,

Number of boxes = 27 inches / 6 inches

                             = 4.5

Since a half box can be placed in the space, therefore, the number of boxes that can be in the space is 4.

Hence, the maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.

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Answer:

1. 32x3=96

2. 384

3. 262 (I think)

4. now let's do cross multiplication here one day =16 7days =n, n=16*7=112

5. 14 cups

6. 7 pints

7. 3.5 quarts

8. 6 days. There are 4 quarts in 1 gallon so there are 16 quarts in all. Since they drinks 3 quarts everyday, we divide 16 by 3. The answer is 5.3 but I rounded it up because the question asks how many days will it take for the family to finish all the 4 gallons.

Step-by-step explanation:

Answer:

x = 12.5

Step-by-step explanation:

Based on the interesting chords theorem, we would have the following:

2*x = 5*5

2x = 25

Divide both sides by 2

x = 25/2

x = 12.5

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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