Find the circumferences of of both circles to the nearest hundredth.
The circumference of the yellow circle is about | 69.12 × ft.
The circumference of the purple circle is about | 25.13 × ft

The volume of the given prism would be = 10,164 in³

A prism is defined as the type of polyhedron with two polygonal faces lying in parallel planes and with the other faces parallelograms.

The formula that is used to find the volume of the prism ;

Volume = 1/2 length× width × height.

Length = 22 in

width= 22 in

height = 42 in

Therefore volume of the prism ;

V = 1/2 × 22 × 22 × 42

V = 20328/2

V = 10,164 in³

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If Marcus, who has 15 T-shirts in his closet, chooses a T-shirt without looking, the probability that it will be white is 20%.

Probability refers to the likelihood or chance that a defined or expected outcome will occur where there are many possible outcomes.

Probability lies between zero and one in most cases, except where the certainty is 100%.

Colors of       Number    Probabilities

T-shirts        of T-Shirts

White                   3              0.2 (3/15)

Gray                    8              0.533 (8/15)

Blue                    2               0.133 (2/15)

Green                 2               0.133 (2/15)

Total                 15

Thus, the probability of choosing a white T-shirt from 15 T-shirts depends on the number of white T-shirts to all T-shirts in the closet, which in this situation, is 20%.

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Answer: [tex]y = \frac{1}{2}x + \frac{1}{2}[/tex]

Step-by-step explanation:

Step 1: Find the slope using the two points given

[tex](3,2)[/tex]and [tex]-(5,-2)[/tex]

use the slope formula ->[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]

[tex]= \frac{-2-2}{-5 - 3}[/tex]

[tex]= \frac{-4}{-8}[/tex]

[tex]= \frac{1}{2}[/tex]

Plug in the slope into the slope-intercept form -> [tex]y = mx + b[/tex]

[tex]y = \frac{1}{2}x + b[/tex]

Step 2: Find the y-intercept (also known as b in the formula above):

Do this by taking any point (3,2) or (-5,-2) and plugging it into the slope equation in Step #1

[tex](3,2)\\y = \frac{1}{2}x + b\\2 = \frac{1}{2}(3) + b\\2 = \frac{3}{2} + b\\4 = 3 + 2b\\1 = 2b\\b = \frac{1}{2}[/tex]

Step 3: Plug in the slope we found in step 1 and the y intercept in step 2

[tex]y = mx + b\\y = \frac{1}{2}x + \frac{1}{2}[/tex]

The number of cups of cranberry juice needed when the punch is made with 6 cups of club soda is

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilized.

the proportion is solved by = (2 1/2) / 4 = 5/8

Using this proportion, the number of cups of cranberry juice needed when the punch is made with 6 cups of club soda

= 6 * 5/8

= 3.75

= 3 3/4 cups

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For #62 here are the reasons for the statements:

1. Given

2. Corresponding angles

3. Given

4. By ASA rule of congruence

Answer:

0.45

Step-by-step explanation:

0.75 x 0.6 = 0.45 or in other words

3/4 x 3/5 = 9 / 20 which is 0.45

A graph of the linear equation 3x - 4t = 12 has been plotted as shown in the image attached below.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.

Next, we would use an online graphing calculator to plot the relationship between the value of x and the value of t as shown in the image attached below.

In conclusion, a graph which represents the linear equation (3x - 4t = 12) does not represent or show a proportional relationship between the value of x and t because they didn't pass through the origin (0, 0).

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The graph of the relation can be seen in the image at the end, there we can see that the relation is a function.

A function is a relation where each input is mapped into a single output, where the notation is (input, output).

The inputs go on the horizontal axis and the outputs on the vertical axis.

Here we have the following relation:

(-5,-1), (-4,1), (-3,3), (-1,5), (1,7)

The graph of these points can be seen on the image below. There you can see that there are no two points on the same vertical line, that means that the relation is a function.

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Answer:

Step-by-step explanation its c

The situation that describes the given algebraic expression is; A girl was given an additional 3 cookies to add to what she had and then asked to divide it among 6 people and each person had 15 cookies each.

We are given the equation as;

(g + 3)/6 = 15

Now, Algebraic word problems are defined as the questions that require translating sentences to equations, and then solving those equations and a single variable.

Now, from the given algebraic equation, we can say that the situation that it can represent is;

A girl was given an additional 3 cookies to add to what she had and then asked to divide it among 6 people and each person had 15 cookies each.

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Answer:

Step-by-step explanation:

because a ratio is liek a fraction

5 standard packs and 5 value packs totaling 335 pairs were provided to foster children by the store. As a result, Value packs equal 32 and Regular packs equal 38.

How many value and standard packets of socks there are

4 x + 6 y = 344

⇒ 2 x + 3 y = 172 --------- ( 1 )

again

6 x + 6 y =420

x + y = 70 ----------- ( 2 ) × 3

Subtract equation (2) from equation by three ( 1 )

2 x + 3 y = 172 -

3 x + 3 y = 210

⇒ -4 = -38

⇒ 4 = 38

introducing x = 38 as a value in equation ( 2 )

x + y = 70

⇒ 38 + y = 70

⇒ y = 70 - 38 = 32

As a result, Value packs equal 32 and Regular packs equal 38 .

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The pair of times that has the longest elapsed time is 10:15 am to 3:25 pm.

Using clocks and calendars, you may measure time in seconds, minutes, hours, days, weeks, months, and years. The shorter hand of the clock depicts the hours, and the longer hand shows the minutes on the clock.

For the given pairs the time elapsed are as follows:

1:05 to 6:10, elapsed time 5 hr and 5 min.

10:15 to 3:25, elapsed time 5 hr and 10 min.

2:45 to 7:45, elapsed time 5 hrs.

9:10 to 1:55, elapsed time 4 hr and 45 min.

Hence, the longest elapsed time is 10:15 am to 3:25 pm.

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Answer:

Step-by-step explanation:

1. ∡T= 72°                               2. ∡M= 76°      

  ∡U= 54°                                    ∡N=  76°    

3. EF =  18 in                             4. ∡P= 60°  

    ∡F = 134°                                  ∡Q= 60°  

                                                      ∡R= 60°  

Answer:

7x^3-2x^2-5

Step-by-step explanation:

thats the answer

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

By taking the quotient between the total amount she earned and the total number of minutes, we can conclude that she earns $0.75 per minute.

Here we know that Ana earns $168.75 in a jump rope-a-thon, Below there is a table with the number of minutes she jumped on each day, which I found after a small search online.

day    minutes

1             25

2            35

3             34

4             19

5             22

6            45

7            26

8             19

The total number of minutes that she jumped is the sum of the values in the table:

T = 25 + 35 + 34 + 19 + 22 + 45 + 26 + 19 = 225 minutes.

The amount that she wins per minute is the quotient between the total amount she earned and the total number of minutes:

E = $168.75/225 min = $0.75 per min.

She wins $0.75 for each minute jumping the rope.

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Answer:

140°

Step-by-step explanation:

The measure of this angle is 140°.

The measure of given angle is 140 degrees.

Arrangement of reference lines or curves used to identify the location of points in space

A protractor is a semi-circular tool used to draw and measure angles.

It is marked with degrees from 0 to 180 degrees.

It can be directly used to measure any angle from 0 to 360 degrees.

The markings are made in two ways, 0 to 180 degrees from right to left and vice versa.

The measure of this angle is 140 degrees.

Hence, the measure of given angle is 140 degrees.

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The required two-digit number HA is given as 57.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
The question seems to be incomplete,
Let's assume that,
H + A = 12

And we have to determine HA,
The sum equation implies that HA could be any two-digit number whose sum will be 12 So, in order for the two-digit it is clear that one of the digits is more than 5, and the corresponding other digit can be given as,
say h = 5,
H + A = 12
5 + A = 12
A = 12 - 5
A = 7

So, the two-digit number can be given as,
HA = 57

Thus, for the assumed condition the two-digit number HA is given as 57.

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Answer:

$3,870.12

Step-by-step explanation:

To find the amount of income tax the teacher has to pay, find 6% of $64,502.

[tex]\begin{aligned}\implies \rm 6\%\;of\;64502&=\dfrac{6}{100} \times 64502\\\\&=\dfrac{6\times 64502}{100} \\\\&=\dfrac{387012}{100} \\\\&=3870.12\end{aligned}[/tex]

Therefore, the amount of income tax in dollars and cents that the teacher has to pay is $3,870.12.

Answer:

I'm not sure what you're getting at.

Step-by-step explanation:

Please explain further so I can give an answer.

After one year, 336 ants will there be in the ant farm. and the table represents a non-linear function. The solution is obtained using arithmetic operations.

What are arithmetic operations?

There are four basic operations which are listed as follows:

We are given that the population of ants in the farm will double every 3 months.

This means that in a year 4 times there will be increase in the population of ants because in a year there are 12 months and population of ants double every 3 months.

So, 12/3=4

Thus, in a year 4 times there will be increase in the population of ants.

Table representing population growth of the ants

Number of months                    Population of ants

0                                                   21

3                                                   42

6                                                   84

9                                                   168

12                                                  336

Thus, after one year, 336 ants will there be in the ant farm.

It is a non linear function because there is not a constant increase in number. Every time the number of increase is different.

Hence, there will be 336 ants in the farm and it is a non linear function.

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Step-by-step explanation:

ow long to reach 733,500 baht with 9% interest?

pro samit

How long would it take to have 733,500 baht if your principal amount was 450,000 baht with a 9% interest rate?

If your principal amount is 450,000 baht and you earn a 9% interest rate, you would need to let the money accrue interest for a certain period of time in order to reach a balance of 733,500 baht.

To determine how long it would take to reach a balance of 733,500 baht, you can use the following formula:

Time (in years) = (733,500 baht - 450,000 baht) / (450,000 baht * 9%)

Plugging in the values, we get:

Time (in years) = (733,500 baht - 450,000 baht) / (450,000 baht * 0.09)

Time (in years) = (283,500 baht) / (40,500 baht)

Time (in years) = 7 years

So it would take approximately 7 years for your balance to reach 733,500 baht if your principal amount was 450,000 baht and you earned a 9% interest rate.

pro samit

Jane took out a loan for college with an interest rate of 5.2%. After graduating 4 years later, she has to pay 11,960 in interest. Find the original

To find the original loan amount that Jane took out, you can use the following formula:

Original loan amount = (Interest paid / Interest rate) * (1 - 1/(1 + Interest rate)^(Number of years))

Plugging in the values, we get:

Original loan amount = (11,960 / 5.2%) * (1 - 1/(1 + 5.2%)^4)

Original loan amount = (11,960 / 0.052) * (1 - 1/(1.052)^4)

Original loan amount = $22,942.31

So the original loan amount that Jane took out was $22,942.31.

pro samit

Find the unit rate 180 miles in 3hours

To find the unit rate, you need to divide the total number of miles by the number of hours it took to travel that distance.

In this case, the unit rate would be:

Unit rate = 180 miles / 3 hours

Unit rate = 60 miles/hour

So the unit rate is 60 miles per hour. This represents the number of miles traveled for every hour of travel.

pro samit

In the example what is 3/4 over 1/3 the unit rate for

It looks like you might be trying to find the unit rate for 3/4 over 1/3, but the information provided is not sufficient to determine what you are trying to calculate.

To find the unit rate, you need to have a rate with two quantities, one of which is a unit of one. For example, the unit rate for 60 miles per hour is 60 miles/hour.

Without knowing what quantities you are trying to compare, it is not possible to determine the unit rate. Can you please provide more information or context about what you are trying to calculate?

pro samit

what is 3/4 over 1/3 the unit rate for

It looks like you might be trying to find the unit rate for 3/4 over 1/3, but the information provided is not sufficient to determine what you are trying to calculate.

To find the unit rate, you need to have a rate with two quantities, one of which is a unit of one. For example, the unit rate for 60 miles per hour is 60 miles/hour.

Without knowing what quantities you are trying to compare, it is not possible to determine the unit rate. Can you please provide more information or context about what you are trying to calculate?

pro samit

what is 3/4 over 1/3 the unit rate for?

It looks like you might be trying to find the unit rate for 3/4 over 1/3, but the information provided is not sufficient to determine what you are trying to calculate.

To find the unit rate, you need to have a rate with two quantities, one of which is a unit of one. For example, the unit rate for 60 miles per hour is 60 miles/hour.

Without knowing what quantities you are trying to compare, it is not possible to determine the unit rate. Can you please provide more information or context about what you are trying to calculate?

pro samit

Fred deposits $50 into an account. The account can be represented by the equation a(t)=50(1.25) where t is the time in years since opening the account. What is average rate of change in the value of the account for the first 4 years

The average rate of change is a measure of how the value of the account changes over time. To find the average rate of change for the first 4 years, you need to find the total change in the value of the account over that time period and divide it by the time period.

In this case, the value of the account at the end of the first 4 years is given by the equation:

a(4) = 50(1.25)^4

Plugging in the values, we get:

a(4) = 50(2.44140625)

a(4) = 122.07031250

The total change in the value of the account over the first 4 years is 122.07031250 - 50 = 72.07031250.

So the average rate of change in the value of the account over the first 4 years is:

Average rate of change = (72.07031250) / (4 years)

Average rate of change = $18.017578125/year

Using the points (-3.1, -5.82) and (.6, -1.38) on the graph of a linear function h, the formula is y = 0.49x - 4.32

The slope, m of the linear function is calculated using the points on the graph (-3.1, -5.82) and (.6, -1.38)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-1.38 - (-5.82)) / (6 - (-3))

m = (4.44) / (9)

m = 0.49

equation passing through point (.6, -1.38)

(y - y₁) = m'  (x - x₁)

y - (-1.38) = 0.49 (x - 6)

y + 1.38 = 0.49x - 2.94

y = 0.49x - 2.94 - 1.38

y = 0.49x - 4.32

the equation is y = 0.49x - 4.32

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The least number of packages of each you have to buy to have the same number of hot dogs and buns is 40

Find the least common multiple of 10 and 8

10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

The least common multiple of 10 and 8 is 40

Therefore, to have the same number of hot dogs and buns, you need to buy 40 packages.

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