What is the distance between the two numbers on the number line?-7/4, 3/8

-2 1/8
-1 3/8
1 3/8
2 1/8

Answers

Answer 1
Answer:

Answer: - 2 1/8

Step-by-step explanation: Lets first get common denominators of 8.

-7/4 = -14/8             (-7 x 2 = -14 and 4 x 2 = 8)

-14/8 - 3/8 = -17/8 or -2 1/8

Answer 2
Answer:

Answer:

2 1/8.

Step-by-step explanation:

That is  |-7/4| + 3/8

= 7/4 + 3/8

= `14/8 + 3/8

= 17/8

= 2 1/8.


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A game room has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. What are the dimensions of the scale drawing

Answers

For this case, what we should keep in mind is the following scale factor:

1 unit = 5 feet

We apply the scale factor to each of the dimensions.

We have then:

For 120 feet:

For 75 feet:

Therefore, the dimensions in the drawing are given by:

24 units by 15 units

Answer:

The dimensions of the scale drawing are:

24 units by 15 units

Length: 24 units

1:5
24:120

Width: 15 units

1:5
15:75

Between which two square roots of integers can you find pi

Answers

We can find pi between square roots √9 and √10.

What is number line ?

Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.

The value of pi is approximately 3.14 which is greater than 3 and less then 4 integer that is 3 < pi < 4

and, they are square root of 9 and 16 respectively that pi can also be corelated as √9 < pi √16. Now let us check between integers which is less then 16 it is observe that the square root of integer close to pi is 9 and 10 that is √9 < pi < √10.

Therefore, we can find pi between square roots√9 and √10.

Read more about  square roots here :

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Since 3 < pi < 4, 
√9 < pi √16 

In fact, since pi^2 = 9.86, 

√9 < pi < √10. 

Which means the you
 can find pi between square roots √9 and √10.

The cost of y renting a car for X days is $10.99 for each half day what is the cost per day of renting a car?

Answers

21.98 is the answer because 10.99 plus 10.99 equals 21.98

I dont get what to do

Answers

I'm pretty sure you're just solving for x. For example, in 26. You have:
x/18 = 4.5
You multiply both sides by 18 to get the x by itself
x = 4.5 • 18
You simplify this
x = 81
24.  x= 15.625
26. x= 81
28. x= 980
30. x=2 

You are going on a class field trip. There will be 9 buses to take 322 students on the trip. Your teacher wants the 9 buses to carry an equal number of students. About how many students will there be on each bus?

Answers

There are 9 buses and 322 students.

Your teacher wants the buses to carry an equal number of students, however, when we do 322/9 to find out how many students are on each bus, the answer is 35.777777.  Therefore, there cannot be an equal number of students on each bus, but it would be close.

We know that there will be approximately 36 students on each bus, because 35.7 rounds up to 36.
If you are looking for the exact answer, then there will be 7 buses with 36 students each, and 2 buses with 35 students each, because (36*7) + (35 *2) = 322 students total.

Hope this helps!

There are approximately 36 students in each buses because you will have to divide 322/9 to find its distribution of the students in total.

Find the simplified form of each expression. (3/2b^4)^31. 27/8b^12
2. 9/6b^12
3. 27/8b^64
4. 27/8b^27

Answers

Answer:

Step-by-step explanation:

I'm going to assume that you accidentally missed a set of parentheses and that the expression is

Raise 2, , and  to the third power:

When a variable raised to a power is raised to another power, the exponents are multiplied:

Negative powers are the positive power in the denominator:

Therefore, the answer is the second option.

Final answer:

The simplified form of the given mathematical expression (3/2b^4)^3 is 27/8b^12.

Explanation:

The simplified form of each expression (3/2b^4)^3 is calculated by cubing both the numerator and the denominator. Firstly, 3^3 gives 27, and then (2b^4)^3 simplifies to 8b^12. So the final answer is 27/8b^12. This means, out of the given options, the correct one is Option 1: 27/8b^12.

Learn more about Simplified Form here:

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