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stiv31 [10]
2 years ago
7

15 points for someone who can answer & explain this to me thanks

Mathematics
1 answer:
iris [78.8K]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given

\frac{9}{a^2+9a+20} , \frac{7a}{a^2+11a+28}

Factor the denominators of both fractions

\frac{9}{(a+4)(a+5)} , \frac{7a}{(a+4)(a+7)}

The lowest common denominator of both fractions is (a + 4)(a + 5)(a + 7)

Multiply numerator/denominator of first fraction by (a + 7)

Multiply numerator/denominator of second fraction by (a + 5 )

\frac{9(a+7)}{(a+4)(a+5)(a+7)} , \frac{7a(a+5)}{(a+4)(a+5)(a+7)} , then

\frac{9a+63}{(a+4)(a+5)(a+7)} , \frac{7a^2+35a}{(a+4)(a+5)(a+7)}

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Answer:

5/7

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6 0
3 years ago
Amy, Bruce, and Carlos collected a total of 168 pounds of cans to recycle. Bruce collected 1/3 the number of pounds of cans Carl
MakcuM [25]

Answer:

c = 63\\b=21

Step-by-step explanation:

Let number of pounds of cans collected by Amy = a

Let number of pounds of cans collected by Bruce = b

Let number of pounds of cans collected by Carlos = c

As per question statement, total number of cans collected = 168

a+b+c=168 ..... (1)

Number of pounds collected by Bruce is \frac{1}{3}rd of the pounds of cans collected by Carlos.

b = \dfrac{1}{3}c ..... (2)

Number of pounds collected by Amy is equal to number of pounds collected by Bruce and Carlos combined.

a = b+c

Using equation (2):

a = \dfrac{1}{3}c +c \\\Rightarrow a =\dfrac{4}{3}c ..... (3)

Using equations (2) and (3) in equation (1), we get:

\dfrac{4}{3}c+\dfrac{1}{3}c+c =168\\\Rightarrow \dfrac{8}{3}c = 168\\\Rightarrow c =63

Using equation (2):

b = \dfrac{63}{3} = 21

5 0
3 years ago
What number plus 1.2 equals -1.8 ?
alexandr402 [8]
The answer should be -3
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3 years ago
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Carter needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fe
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Given:

The equation is

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