MATHEMATICS MIDDLE SCHOOL

Lena can run 4 miles in 30 minutes. Rachel can run 7 milesin 56 minutes. What proportion could you write to see if they are
running at the same rate?

Answers

Answer 1

Answer:

We want to create a proportion with minutes over miles for each person. The proportion for this problem is shown below.

30 minutes / 4 miles = 56 minutes / 7 miles

To find out if these people are running at the same rate, we can cross-multiply.

224 = 210

Because 224 and 210 are not equivalent, the people are not running at the same rate.

Hope this helps!! :)

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What is the equivalent decimal for 1\2
A souvenir postcard is 5 1/4 inches long and 31/2 inches wide what is the area of the postcard
What is the next term in the sequence below? 1, 3, 5, 8, 11, 15, 19, 24, ... a.30 b.27 c.29 d.25

Find the average of
1.6,0.8,1.2

Answers

Add all three and then divide by the number of varibles which in this case is three. Answer is 1.2

1.2 is the average.I did:1,6+0.8+1.2=3.6. 3.6 divided by 3 is 1.2 hope my answer helped.

Please help quickly!!! Which equation shows the correct use of the Power of Products Property?
A. (2x^5y^2)^3=6x^5y^2
B. (2x^5y^2)^3=6x^15y^6
C. (2x^5y^2)^3=8x^8y^5
D. (2x^5y^2)^3=8x^15y^6

Answers

Answer:

Option D is correct.

$(2x^5y^2)^3= 8x^(15)y^6$

Step-by-step explanation:

Power of product property:

$(x^m)^n = x^(mn)$

$(ax)^m = a^m \cdot x^m$

Let the equation: $(2x^5y^2)^3$

Using power of products Property on given equation:

$(2x^5y^2)^3$ = $2^3 \cdot (x^5)^3 \cdot (y^2)^3 = 8 \cdot x^(15) \cdot y^6 = 8x^(15)y^6$

Therefore, the only option D of an equation which shows the correct use of power of Products property is, $(2x^5y^2)^3= 8x^(15)y^6$

$(2x^5y^2)^3=2^3 * (x^5)^3 * (y^2)^3=8 * x^(5 * 3) * y^(2 * 3)=8x^(15)y^6$

The answer is D.

The wheel of a bike has a diameter of 26 inches. What is the circumference of the wheel?

Answers

Answer:

the circumference of the wheel is 81.64 inches.

Step-by-step explanation:

Circumference of a circle is given by:

$C = \pi d$

where

C is the circumference of a circl

d is the diameter of a circle.

As per the given statement:

The wheel of a bike has a diameter of 26 inches

⇒d = 26 inches.

We have to find the circumference of the wheel.

$\text{circumference of the wheel} = \pi \cdot 26$ inches

Use value of $\pi = 3.14$

then;

$\text{circumference of the wheel} = 3.14 \cdot 26 =81.64$ inches.

Therefore, the circumference of the wheel is 81.64 inches.

c = d * $\pi$
so 26 * 3.14 = c
c = 81.64
circumference is 81.64 inches.

Write 2 1/8 as an improper fraction.

Answers

The answer is 17/8. This is because 2 times 8 is 16 and 16 plus one is 17. So the result is 17/8.

17/8

2 * 8 = 16 + 1 = 17

As a salesperson, you are paid $92 per week plus $4 per sale. This week you want your pay to be at least $200. Write an inequality for the number of sales you need to make, and describe the solutions.

Answers

The inequality function should be 4x + 92 ≥ 200.

Given that,

As a salesperson, you are paid $92 per week plus $4 per sale.
This week you want your pay to be at least $200.

Based on the above information, the equation is as follows:

4x + 92 ≥ 200.

Learn more:brainly.com/question/5101300?referrer=searchResults

4x + 92 ≥ 200

the $92 are regardless and you make $4 every sale (x) to solve this you would multiply the number of sales (x) by 4 then add the initial 92

Ralph won't sell the christmas trees on his farm until they are of 70 inches tall . The trees he has now are an average of 12 inches tall and the trees grow about half inch every month. How many months will it be until Ralph will sell his trees? What is the inequality? How do you solve the inequality