A man is able to run an arc of 150° along a circular track, whose radius is 150 ft. How far did the man run?

a) The step where Mardie first made an error is given as follows: Step 1, as the negative sign means that the sign of each term inside the parenthesis should be changed.

b) The correct expression is given as follows: -8.6b + 28.

The expression in the context of this problem is defined as follows:

(-3.78b + 12) - (4.82b - 16).

The negative sign before the parenthesis means that the sign of each term inside the parenthesis is changed, hence:

-3.78b + 12 - 4.82b + 16.

This is the step where Maddie made the first error.

Then, to simplify the expression, we combine the like terms, as follows:

b(-3.78 - 4.82) + 12 + 16 = -8.6b + 28.

More can be learned about simplification of expressions at https://brainly.com/question/723406

#SPJ1

Answer:

Step-by-step explanation:

8/3 is between 2 and 3 above 2.5

11.3 is between 3 and 4 above 3.5

Answer:

y=4x

Step-by-step explanation:

if you look at the line you'll see it takes 4 x's to = 1 y, every time you go right 1 you go up 4

Answer:

The slope is 4.

Step-by-step explanation:

Step 1:

Slope can also be found by using the formula, Y2-Y1/X2-X1

In this case, our first point is the origin, so x would be 0 and y would be 0. On the second point, our x is -1, and our y is -4.

So, we can make the solution, -4-0/-1-0.

You can simplify this into, -4/-1, and then into 4.

Therefore, the slope is 4.

Step 2:

M is our slope, so in our y=mx equation our m = 4.

If you substitute in the m, you get y=4x.

Answer:

y=4x.

Hope this helped!

Answer:

just add all the numbers which means $147

Answer: I believe is $147 because u have to add all the number and it will give u the total of 147. So the total cost in dollars for two days for the n members of the cub will be $147.

Answer: B

The best type of graph to show changes over time is a line graph. A line graph is ideal for displaying trends and variations in data over a continuous period. It consists of a series of data points connected by line segments, allowing for a clear visualization of how values change over time. Bar graphs, histograms, and circle graphs are better suited for other types of data analysis, such as comparing categories or showing proportions.

Step-by-step explanation: Hope this helps! :)

Answer:

A. $204.50

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

−31−4x=−5−5(1+5x)

First step is to simplify both sides

−31−4x=−5−5(1+5x)

−31+−4x=−5+(−5)(1)+(−5)(5x)

distribute

−31+−4x=−5+−5+−25x

−4x−31=(−25x)+(−5+−5)

and combine like terms

−4x−31=−25x+−10

−4x−31=−25x−10

Then add 25x to both sides

−4x−31+25x=−25x−10+25x

21x−31=−10

Add 31 to both sides

21x−31+31=−10+31

21x=21

And divide by 21!

21x/21 = 21/21

x=1

Answer:

X=1

Step-by-step explanation:

First this is you want to distribute the -5 to the 1 and 5x. Now you should have -31-4x=-5-5-25x. Next thing is to combine your like terms which would be -5 and -5 and you get -10. (-31-4x=-10-25x) Now add 31 to both sides and your new solution is -4x=21-25x. This time you add 25x to both sides and get 21x=21. Final step you divide both sides by 21 and get X=1. :)

Answer:

1/4

Step-by-step explanation:

Answer:

The slope would be 2

Step-by-step explanation:

y2-y1

x2-x1

8-6

8-0

= 2

Answer: The surface area of a sphere with a radius of 10 in is 400π square inches.

Step-by-step explanation:

Answer:

3 pounds of chicken wings would cost $15.54

Step-by-step explanation:

½ pound times 2 is 1 pound.

$2.59 × 6 = $15.54

Answer:

$15.54

Step-by-step explanation:

The first step in working out the total of 3 pounds would be to convert 1/2 into a decimal. You can do this by dividing the numerator of 1 by the denominator of 2, this gives you 0.5.

Now that you have worked out 1/2 as a decimal, the next step would be to multiply 3 by 0.5, this gives you 6. This is because you are working out how many times 1/2 a pound goes into 3 pounds.

The final step would be to multiply the price of $2.59 by the quantity of 6, this gives you $15.54.

1) Divide 1 by 2.

\(1/2=0.5\)

2) Multiply 3 by 0.5.

\(3*0.5=6\)

3) Multiply 2.59 by 6.

\(2.59*6=15.54\)

Answer:

$1,920

Step-by-step explanation:

$1,848 minus $1,512 equals $336

$336 plus $1,584 equals $1,920

There is your answer

Answer:

0.045 m^3

Step-by-step explanation:

0.2 m x 0.15 m x 0.5 m = 0.015 m^3

0.2 m x 0.3 m x 0.5 m = 0.03 m^3

0.045 m^3

Answer:

\(y=\frac{3}{4} x+5\)

Step-by-step explanation:

Substitute into the slope formula

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

\(m=\frac{8-5 }{4-0 }\)

\(m=\frac{3}{4}\)

Substitute slope and one point (doesn't matter which) into slope intercept form (y=mx+b) to solve for b

Write the equation

I hope this helps :)

Answer:

-5  ,-4, -3,-2,-1,0,1,2,3,4

Step-by-step explanation:

I acnt draw anything put that in order of the number line

Answer:

4

Step-by-step explanation:

The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

The cube root of 64 is 4.

Before solving the question, let's understand the concept of cube root.

The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.

The cube root is denoted by ∛

Now, we will find the cube root of 64.

Firstly, we have to find factor 64.

64 = 2 × 2 × 2 × 2 × 2 × 2.

64 = ∛4³

64 = 4

Therefore, the cube root of 64 is 4.

To know more about cube root:

https://brainly.com/question/12105008

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

Answer:

C. and E.

Step-by-step explanation:

Those options are the only ones that have 7th grade STUDENTS in them. In other words, the other options have other grades and teachers which are not what is necessary for this problem.

Have a good day and good luck!

Answer:

3 containers

Step-by-step explanation:

1 gallon = 4 quarts

2 containers is 8 quarts, that is too little

3 containers is 12 quarts

therefore Mrs. Nava needs 3 containers to have enough ice cream

Answer:

10 3/4

Step-by-step explanation:

\(x + \frac{7}{4} = - \frac{5}{2} \times - \frac{5}{1} \\ x = \frac{25}{2} - \frac{7}{4} \\ x = \frac{43}{4} \\ x = 10 + \frac{3}{4} \)

THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!

The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.

The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.

Answer:

200 tickets.

Step-by-step explanation:

85% = 85/100 = 0.85

170/0.85 = 200

= 200

Check:

200*0.85 = 170

Answer: hope this helps ♡

200 tickets were originally put up for sale.

Step-by-step explanation:

85% = 170

(we divide 85 and 170 by 85)

1% = 2

(now multiply 1 and 2 by 100)

100% = 200

(double check: 85% from 200 → (85×200) ÷ 100 = 170 ✓)

Answer:

13.5

Step-by-step explanation:

the explanation is in the document

Answer:

C. 15 grades per minute.

Step-by-step explanation:

Divide 120 by 8

120÷8=15

It's 15 because multiplying it by 8 instead of dividing it gives you 120.

Step-by-step explanation:

1. Find the GCD (or HCF) of numerator and denominator

GCD of 423 and 16 is 1.

2. Divide both the numerator and denominator by the GCD

423 ÷ 1= 323

16 ÷ 1=16

3. Reduced fraction:

423

16

Therefore, 423/16 simplified to lowest terms is 423/16.

Answer: 423/16

Step-by-step explanation:

To be able to simplify 423/16, we need to find their greatest common factor (GCF). This is much easier to do using the smaller number, as it has less factors most of the time.

The factors of 16 are: 1, 2, 4, 8, 16.

If 423 shares one of these factors, we can simplify 423/16.

Since 2, 4, 8, and 16 are even numbers and 423 is odd, we already know that those are not factors of 423.

So, the only factor of 16 left that 423 shares is 1. If you divide 423/1 and 16/1, the fraction still is 423/16. This means that 423/16 is already in its simplest form.

If you want to find the decimal form of 423/16, it is 26.4375. 16 x 26 = 416. 416 + 16 = 432, which is greater than 423.
This means that 16 goes into 423 twenty-six times before it cannot fully go into it anymore.

Answer:

“A.”

Step-by-step explanation:

15 + 3x is the equation, so we need to have the 3 multiplying by “x” no matter what.

Answer “A.” 3(5+x) would give us 15+3x when the 3 is distributed to the 5 and the “x”

You are welcome :D

Answer:

[A] 3(5+x)

Step-by-step explanation:

To Find which expression is equivalent to 15 + 3x

We can simplify to see:

Start with [A] 3 ( 5 + x )

3 · x = 3x

3 · 5 = 15

3x + 15

True

Next we have [B] 5 ( 3 + x)

5 · x = 5x

5 · 3 = 15

5x + 15

False

Then we have [C] 3 ( 5 + 3x)

3 · 3x = 9x

3 · 5 = 15

9x + 15

False

Finally, we have [D] 5 ( 3 + 3x)

5 · 3x = 15x

5 · 3 = 15

15x + 15

False

3x+15 is the same thing as in 15 + 3x

Thus, [A] 3 ( 5 + x) is the correct answer.

Kavinsky