All categories

3 years ago

A rectangle is 3 times as long as it is wide. the perimeter is 16 feet. find the dimensions

Mathematics

1 answer:

astraxan [27]3 years ago

6 0

Answer:

Width = 2 feet

Length = 6 feet

Explanation:

Variables:

Perimeter = p

Length = l

Width = w

Equation:

2w + 2l = p

It is given that:

l = 3w

and

p = 16 feet

With this information, we can rewrite the equation (substitute)

2w + 2(3w) = 16

Simplify

2w + 6w = 16

Add

8w = 16

Divide both sides of the equation by 8

Width = 2 feet

Length = 3(w) = 3(2) = 6 feet

Hope this helps :)

You might be interested in

A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact

Tpy6a [65]

Answer: a) $N(t)=1500(2)^t$

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

$y= ab^t$ , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

$N(t)=1500(2)^t$

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

$N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000$

Hence, the number of bacteria after 24 hours is 25165824000.

7 0

3 years ago

Fill in the blanks to solve 900 x 6

Fynjy0 [20]

Answer:

The answer is 900 ×6= 5,400 u can use a calculator

8 0

2 years ago

True or False?<br> If false provide an example <br><br> For all integers<br> n, n3 is positive.

Maksim231197 [3]

Answer:

False

Step-by-step explanation:

Explanation is given below.

7 0

3 years ago

5/8−(1/4)2= ________

bixtya [17]

Hey there!☺

$Answer:\boxed{\frac{1}{8}}$

$Explanation:$

$\frac{5}{8}-(\frac{1}{4})2$

Simplify:

$\frac{5}{8}-\frac{1}{4}(2)=\frac{1}{8}$

1/8 is your answer.

Hope this helps!☺

4 0

4 years ago

ten more than twice a number is 36. what is the number? write an algebraic expression then solve for the number

aniked [119]

10 more than (+) twice a number (2x) is (=) 36

10 + 2x = 36 Subtract 10 from both sides
2x = 26 Divide both sides by 2
x = 13

7 0

3 years ago

A rectangle is 3 times as long as it is wide. the perimeter is 16 feet. find the dimensions ​

A rectangle is 3 times as long as it is wide. the perimeter is 16 feet. find the dimensions