Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

1.Write this sentence as an equation.Do not solve it.
Two times the difference of three times a number and seven is a number.

7.B'Elanna Torres tries to combine her like terms in 3(2x+4)-2x and got out 16x but Tom Paris thinks she made a mistake.It is your job to explain her mistake and solve the problem correctly.
Mistake: 3(2x+4)-2x=16x

3.The YMCA has a new rectangular pool with a perimeter of 108ft.The deep ends length is d ft.The shallow ends length is 15 ft.MacGyver knows that the width of the entire pool is 3 ft less than the deep ends length and can be represented by d-3.Solve for d.​

1Write This Sentence As An EquationDo Not Solve ItTwo Times The Difference Of Three Times A Number And Seven Is A Number7BElanna Torres Tries To Combine Her Lik class=

Sagot :

Problem 1

x = some unknown number

3x = three times a number

3x-7 = difference of three times a number and seven

2(3x-7) = two times the difference of three times a number and seven

2(3x-7) = x

The last equation is formed because the expression we built up is equal to the original number in question

Answer:  2(3x-7) = x

===========================================================

Problem 2

Use the distribution rule to get

3(2x+4)-2x

3*2x+3*4-2x

6x+12-2x

From here, we combine like terms. That means we combine the 6x and -2x to get 4x

So 6x+12-2x simplifies to 4x+12 and not 16x

How did she get 16x? Possibly because she mistakenly thought she could add 4x to 12 to get 16x. This only works if the 12 had x attached to it.

In other words, this is valid:  4x+12x = 16x but this is not 4x+12 = 16x

===========================================================

Problem 3

L = length = horizontal dimension = (d+15) ft

W = width = vertical dimension = (d-3) ft

P = perimeter of the rectangle = 108 ft

P = 2(L+W)

108 = 2(d+15+d-3)

108 = 2(2d+12)

108 = 4d+24

4d+24 = 108

4d = 108-24

4d = 84

d = 84/4

d = 21

The deep end is 21 feet long.

This means the overall horizontal length is d+15 = 21+15 = 36 feet and the the vertical width is d-3 = 21-3 = 18 feet

The overall dimensions of the rectangular pool are 36 ft by 18 ft

Answer:  d = 21

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.