All categories

3 years ago

a flat rectangular piece of aluminum has a perimeter of 64 inches. the length is 10 inches longer than the width. find the width

Mathematics

1 answer:

I am Lyosha [343]3 years ago

3 0

Answer:

The width of the piece is 11 inches

Step-by-step explanation:

Let

x ----> the length of the rectangular piece of aluminum in inches

y ----> the width of the rectangular piece of aluminum in inches

we know that

The perimeter of the rectangular piece of aluminum is equal to

$P=2(x+y)$

we have

$P=64\ in$

$64=2(x+y)$

simplify

$32=x+y$ ----> equation A

$x=y+10$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$32=y+10+y$

solve for y

$32=2y+10$

$2y=32-10$

$2y=22$

$y=11$

therefore

The width of the piece is 11 inches

You might be interested in

Write <br> 36<br> as a product of prime factors.

AURORKA [14]

The prime factors are: 2 x 2 x 3 x 3

3 0

3 years ago

Read 2 more answers

Geometry plz help super important

nirvana33 [79]

Answer:

because the triangle is an acute triangle all three sides are the same and because its cut in half HIK=HJK

Step-by-step explanation:

7 0

3 years ago

Sarah saved $12.75 every week for a number of weeks, w. She received an additional $25 during the last week in which she saved m

Umnica [9.8K]

Answer:

12.75w + 25 = 114.25

w = 7

Step-by-step explanation:

since sarah is receiving 12.75 each week for a number of weeks, w (we don't know its value yet) we know that first part of the equation: that 12.75 is the coefficient next to w. Then we have the extra 25, so we know that adding 12.75w and 25 would give us sarah's total amount, which is 114.25.

to find out what w represents, we have to solve for it. solving for w means isolating it on one side. so, what we can do first is subtract 25 from both sides. that would then make the equation:

12.75w = 89.25

now, we have only one step left to isolating w, and that's to get 12.75 on the other side somehow. since we're multiplying 12.75 with w, and we're applying additive inverse properties, meaning the opposite of what is happening to cancel it out on the side it's in, we would divide 12.75 on both sides. in the left, 12.75 would cancel out, and in the right, we would divide 89.25 by 12.75. the quotient is 7.

now there's nothing left to take out to isolate w, so we have:

w = 7

sarah saved up for 7 weeks.

3 0

4 years ago

In choice box 1

lisov135 [29]

Answer:

Choice box 1: Always

Choice box 2: exactly 2 pairs

Choice box 3: adjacent

Step-by-step explanation:

If you look at a picture of a kite.

You always see the two top sides the same size and the two bottom sides the same size. Take a look at this picture.

8 0

2 years ago

Read 2 more answers

Paula traveled 65 miles per hour for 2.5 hours and then traveled 45 miles per hour for 3.5 hours what is the total distance in m

Naddik [55]

Answer:

320

Step-by-step explanation:

(45*3.5)+(65*2.5)=320

8 0

3 years ago