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Len [333]
3 years ago
5

Find the missing dimension of each prism: volume= 56 1/4 ft | width= 3 3/4 ft | length= 7 1/2 ft

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0
Prism volume = width*length*height
56 1/4 = 3 3/4 * 7 1/2 * h

56.25=3.75*7.5*h

h=(56.25)/(3.75*7.5)=2

So that the missing dimension (height) is 2 ft

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What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0
2 years ago
Abby, Bik, Cari, Dawn, and Ellen collect T-shirts. Abby has the most. Bik has 2.5 times as many T-shirts as Cari. Dawn has 1/3 a
bixtya [17]
A=abby's shirts
b=bik's shirts
c=cari's shirts
d=dawn's shirts
e=ellen's shirts


a> everybody
b=2.5c
d=(1/3)c
a+b+c+d=120
e=2d+1
e=13
oook

e=13=2d+1
13=2d+1
12=2d
d=6

d=(1/3)c
6=(1/3)c
18=c

b=2.5c
b=2.5(18)
b=45

a+b+c+d=120
a+45+18+6=120
a+69=120
a=51
4 0
2 years ago
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator
WARRIOR [948]

Answer: 5n = 3d and 3n + 6 = 2d + 4

Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.  

We are to select the system of equations that could be used to solve the problem.  

Since n denotes the numerator and m denotes the denominator of the given fraction, so we have:

n/d = 3/5

5n = 3d

<h3>and</h3>

(n+2)/(d+2) = 2/3

3(n+2) = 2(d+2)

3n + 6 = 2d + 4

Thus, the required system of equations is,

5n = 3d and 3n + 6 = 2d + 4

Brainliest pweaseee if the answer is clear and correct! <3 ~~~

3 0
2 years ago
PLZ HELP AND HURRY, IM GIVING BRAINLIEST AND 50 POINTS!!! PLZ HURRY!!
IceJOKER [234]

Answer:

p yellow 11 over 15

Step-by-step explanation:

I hope you get it right! Please give me brainliest!

3 0
3 years ago
Read 2 more answers
It took Jean 1/2 hour to complete 3/8 of a math problem
skad [1K]
Ok, if you say so. Jean took 1/2 hour to complete 3/8 of a math problem.


8 0
2 years ago
Read 2 more answers
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