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3 years ago

Correct Answers only please!

Mathematics

1 answer:

Korvikt [17]3 years ago

7 0

Answer: A. x= 5"

Step-by-step explanation:

ORIGINAL/NEW = 11"/7" = 8.5"/x

x = 7" x 8.5"/11" = 59.5"/11 = 5.409 ≅ 5.41"

If we wanted to keep most of the engraving, we would adjust the larger dimension, but we have been asked to adjust one dimension to 5", since it is said that C. x = 5.41 is incorrect

Then we will adjust the minor dimension to 5"

ORIGINAL/NEW = 11"/y = 8.5"/5"

y= 11" x 5"/8.5" = 6.47"

Then the new dimensions of the paper are 6.47" x 5" to fit an 7" x 5" frame

Answer: A. x= 5"

$\textit{\textbf{Spymore}}$

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The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

2(3x-3) + 2(length) = 10x+6

6x - 6 + 2(length) = 10x+6

2(length) = 4x + 12

length = 2x + 6

The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3). Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

(10x+6)=2v

- (6x -6)

----------------------

4x+12 =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6: (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3: (3x-3)+(3x-3)= 6x-6

Let's add those sums to find the perimeter: 10x+6

That is the intended

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Add 2x to both sides

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