MATHEMATICS MIDDLE SCHOOL

Show a reciprocal numerical expression for each equation using multiplication, please!2/3 divided by 4

1/8 divided by 3

3/4 divided by 6

1/6 divided by 2

Answers

Answer 1
Answer: (2)/(3)÷ 4 = (2)/(3) * (1)/(4) = (1)/(6)

(1)/(8)÷ 3 = (1)/(8) * (1)/(3) = (1)/(24)

(3)/(4)÷ 6 = (3)/(4) * (1)/(6) = (1)/(8)

(1)/(36)÷ 2 = (1)/(6) * (1)/(2) = (1)/(12)

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Harper works at an electronics store as a salesperson. Harper earns a 6% commission on the total dollar amount of all phone sales she makes, and earns a 5% commission on all computer sales. Harper made a total of $2600 in sales and earned $137 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Harper made and the dollar amount of computer sales she made. Define the variables that you use to write the system.

Answers

Answer:

The system of equations are

x + y = 2600   …….equation (1)

and, 6x + 5y = 13700  ……equation (2)

Explanation:

Let x = amount of sales of phone;

y = amount of sales of computer

For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.

Similarly for computer,

5% of y = 0.05y

Given the total sales; x + y = 2600

And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700

Therefore the system of equations are

x + y = 2600   …….equation (1)

6 x + 5 y = 13700  ……equation (2)

Mr.Williams' class built this platform for a school event. They also built a model of the platform in which 1 foot was represented by 2 inches. What is the volume of the platform? What is the volume of the model?

Answers


For every 1ft in the original, the model used 2in

1ft:2in

There are 12inches in a foot, so we could also write the ratio as

12in:2in

12/2=6 So the model is 6X smaller than the original

The length of the original was 9ft

L=9ft

The width of the original was 4ft

W=4ft

The height of the original is 6ft

H=6ft

The volume of the original is:
V=L*W*H
V=9*6*4=216ft³ 



Now lets find the dimensions of the model...

If the length of the original was 9 feet we just divide that number by 6 to find the length of the model.

9/6= 1 1/3 ft

The length of the model is 1 1/3ft or 16in

If the width of the original was 4 feet we just divide that number by 6 to find the width of the model.

4/6= 2/3 ft

The width of the model is 2/3ft or 8in

If the height of the original was 6 feet we just divide that number by 6 to find the height of the model.

6/6=1ft

The height of the model is 1ft or 12 inches

The volume of the model is...

V=l*w*h=16in*8in*12in=1536in³


***Edit*** The answer is now completed

Answer:here

Step-by-step explanation:For every 1ft in the original, the model used 2in

1ft:2in

There are 12inches in a foot, so we could also write the ratio as

12in:2in

12/2=6 So the model is 6X smaller than the original

The length of the original was 9ft

L=9ft

The width of the original was 4ft

W=4ft

The height of the original is 6ft

H=6ft

The volume of the original is:

V=L*W*H

V=9*6*4=216ft³

Now lets find the dimensions of the model...

If the length of the original was 9 feet we just divide that number by 6 to find the length of the model.

9/6= 1 1/3 ft

The length of the model is 1 1/3ft or 16in

If the width of the original was 4 feet we just divide that number by 6 to find the width of the model.

4/6= 2/3 ft

The width of the model is 2/3ft or 8in

If the height of the original was 6 feet we just divide that number by 6 to find the height of the model.

6/6=1ft

The height of the model is 1ft or 12 inches

The volume of the model is...

V=l*w*h=16in*8in*12in=1536in³

Line segment AB has a length of 6 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A'B'. What is the length of A'B'?

Answers

if it is translated, that means it is just moved
same legnth
6 units

Which of the following are identities? Check all that apply. A. cot2x + 1 = csc2x B. tan2x = 1 - sec2x C. sin2x = 1 + cos2x D. sin2x + cos2x = 1

Answers


I'll assume those are squares.  We know D is an identity:

\sin^2 x + \cos ^2 x = 1

Dividing through by \sin ^2 x

1 + \cot^2 x = \csc^2 x

That's A.

Dividing the original through by \cos ^2 x

\tan^2 x + 1 = \sec^2 x

Not quite B, wrong sign on tangent.  

C has the wrong sign on cosine squared as well.

Identities: A & D

Answer: A. Cot^2 x+1 =csc^2 x

& D. Sin^2 x+Cos^2 x=1

explanation:

A P E X approved.

What is x2 over 3 equal to

Answers

Answer:6

Step-by-step explanation:3 +3 like h get it

Ms. Donaldson earns $18.80 per hour for the first 40 hours she works in a week. She earns 1 1 2 times that amount per hour for each hour beyond 40 hours in a week. Last week Ms. Donaldson worked 45.5 hours. How much money did she earn?

Answers

the answer is going to be $907.1 was made that week
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