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GaryK [48]
3 years ago
14

Rewrite the perimeter formula, P = 2l + 2w, to solve for the length, l, and then use this formula to find the length of a rectan

gle whose width is 7 inches and perimeter is 42 inches.
Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0

Answer:

14 inches

Step-by-step explanation:

In the above question, the perimeter formula is given as:

P = 2L + 2W

We are asked to rewrite the formula to solve for L.

This means to make L the subject of the formula

P = 2L + 2W

2L = P - 2W

Divide both sides by 2

L = P - 2W/2

We are to use the above formula to find the length of a rectangle whose width is 7 inches and perimeter is 42 inches.

P = Perimeter

L = Length

W = Width

L = P - 2W/2

L = 42 - 2(7)/2

L = 42 - 14/2

L = 28/2

L = 14 inches

Therefore, the length of the rectangle = 14 inches

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The gym has a total of 25 treadmills and stationary bikes. there are seven more stationary bikes than treadmills.
Rudik [331]

The system of equations is t+b=25\\b=t+7

Step-by-step explanation:

We can answer this question as follows.

First of all, we call:

t = number of treadmills

b = number of stationary bikes

The two conditions that we have can be translated into equations as follows:

- The gym has a total of 25 treadmills and stationary bikes:

t+b=25

- There are seven more stationary bikes than treadmills:

b=t+7

So the system of equations to solve is

t+b=25\\b=t+7

We now solve it in the following way: first, we rewrite the second equation by bringing t on the left side,

t+b=25\\b-t=7

Now we add the 1st equation to the 2nd equation:

(t+b)+(b-t)=25+7\\t+b+b-t=32\\2b=32\\b=\frac{32}{2}=16

And therefore,

t+b=25\\t+16=25\\t=25-16=9

So, there are 16 stationary bikes and 9 treadmills.

Learn more about systems of equations:

brainly.com/question/13168205

brainly.com/question/3739260

#LearnwithBrainly

3 0
3 years ago
What is the product ?
Aneli [31]
Answer: 25x^2 - 1^2

Explanation:

(5x+1) (5x-1)

(5x)^2 - 1^2

25x^2 - 1^2
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2 years ago
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The sum of a number and five more than the number is less than fifteen​
SIZIF [17.4K]

Answer: 5

Step-by-step explanation:

7 0
4 years ago
Find a counterexample for the statement. <br> If p is prime, then p2 + 4 is prime.
uysha [10]
P=2 then 2^2+4=8
P=11 then 11^2+4=125
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A girl's age in 12 years' time is the square<br> of her present age. Find her present age.
harkovskaia [24]

Answer: her present age is 4

Step-by-step explanation:

Proof: 4+12=16

Square root 4 is 16

3 0
2 years ago
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