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marusya05 [52]
2 years ago
14

Virgil has 1/6 of a birthday cake left over. He wants to share the leftover cake with 3 friends. What fraction of the original c

ake will each of the 4 people receive? Draw a picture to support your response.
Mathematics
1 answer:
klemol [59]2 years ago
3 0

Answer:

Each of the 4 people will get 1/24 of the original cake

Step-by-step explanation:

The fractional part of cake left out is 1/6

This remaining cake is to be divided among four people.

Thus, each person will get

fractional part of cake left/total number of people

i.e 1/6/4

= 1/24

Each of the 4 people will get 1/24 of the original cake

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What is the volume of the rectangular prism?
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Answer:

\large\boxed{Q1.\ 80\ cm^3}\\\boxed{Q2.\ 45\ in^3}\\\boxed{Q3.\ 48\ m^3}\\\boxed{Q4.\ A,\ D}\\\boxed{Q5.\ 96\ in^3}

Step-by-step explanation:

\text{The formula of a volume of a rectangular prism:}\\\\V=lwh\\\\l-length\\w-width\\h-height

\bold{Q1}\\\\l=10\ cm,\ w=4\ cm,\ h=2\ cm\\\\V=(10)(4)(2)=80\ cm^3\\\\\bold{Q2.}\\\\l=5\ in,\ w=3\ in,\ h=3\ in\\\\V=(5)(3)(3)=45\ in^3\\\\\bold{Q3.}\\\\l=4\ m,\ w=2\ m,\ h=6\ m\\\\V=(4)(2)(6)=48\ m^3\\\\\bold{Q4.}\\\\V=120\ ft^3\\\\\bold{A:(5)(4)(6)=120}\\B:\ (7)(7)(6)=294\\C:\ (3)(6)(4)=72\\\bold{D:\ (10)(3)(4)=120}\\\\\bold{Q5.}\\\\l=8\ in,\ w=4\ in,\ h=3\ in\\\\V=(8)(4)(3)=96\ in^3

4 0
3 years ago
Simplify the expression
Ronch [10]

Answer:

(3 x)/(5 x + 2)

Step-by-step explanation:

Simplify the following:

(3 x^2)/(5 x^2 + 2 x)

Hint: | Factor common terms out of 5 x^2 + 2 x.

Factor x out of 5 x^2 + 2 x:

(3 x^2)/(x (5 x + 2))

Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).

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(3 x^(2 - 1))/(5 x + 2)

Hint: | Evaluate 2 - 1.

2 - 1 = 1:

Answer:  (3 x)/(5 x + 2)

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