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natima [27]
3 years ago
8

What is the simplified form of the quantity of x plus 7, all over the quantity of 6 − the quantity of x plus 5, all over the qua

ntity of x plus 3?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
8 0

Answer:

Step-by-step explanation:

[ (x + 7) / 6 ] − [ (x + 5) / (x + 3) ]

First, we must find the common denominator.  In this case, that's 6 (x+3).  Multiply the first fraction by (x+3)/(x+3) and the second fraction by 6/6.

[ (x + 7)(x + 3) / (6 (x + 3)) ] − [ 6 (x + 5) / (6 (x + 3)) ]

Now distribute the numerators:

[ (x² + 10x + 21) / (6 (x + 3)) ] − [ (6x + 30) / (6 (x + 3)) ]

Now we combine the fractions:

((x² + 10x + 21) − (6x + 30)) / (6 (x + 3))

(x² + 10x + 21 − 6x − 30) / (6 (x + 3))

(x² + 4x − 9) / (6 (x + 3))

So the simplified form is:

\frac{x^{2} + 4x - 9}{6 (x + 3)}

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An airplane is flying from New York City to Los Angeles the distance it travels in Miles D is related to the time in seconds T b
tatiyna

Answer:

It takes 85 seconds to go 12.75 miles

Step-by-step explanation:

We are given

An airplane is flying from New York City to Los Angeles

the distance it travels in Miles D is related to the time in seconds T by the equation

d=0.15T

we are given to find time when distance is 12.75 miles

so, we can set d=12.75

and then we can solve for T

12.75=0.15T

We can divide both sides by 0.15

T=\frac{12.75}{0.15}

T=85

So,

It takes 85 seconds to go 12.75 miles

6 0
3 years ago
Please help with this
11Alexandr11 [23.1K]
The answer is

4x^4-4x^3-16x^2+16x
4 0
3 years ago
13 cans of paint with 5/6 liters of paint in each were used to paint 4 identical cars. How can you calculate the amount of paint
brilliants [131]

Answer:

(B) 5/6 ·13÷4

(C) 5/6 ÷4·13

(D) 5/6 · 13/4

Step-by-step explanation:

Amount of paint per can = \[\frac{5}{6}\] liters.

Number of cans used to paint 4 cars = 13

Total amount of paint used for 4 cars = \[13 * \frac{5}{6}\] liters.

= \[\frac{13 * 5}{6}\] liters.

= \[\frac{65}{6}\] liters.

Total amount of paint used for 1 car = \[\frac{65}{6} \div 4\] liters.

= \[\frac{65}{24}\] liters.

Of the given options, option B,C and D correspond to the same value.

3 0
3 years ago
Finish the lyric and name the song and artist (For fun)
nirvana33 [79]
“Only want people around that's gonna make me better”
3 0
3 years ago
Read 2 more answers
Hello help please and thanks
galben [10]

Answer:

48.

Step-by-step explanation:

33 + 15 = 48.

You can check your answer by subtracting 48-15, which gives you 33.

8 0
2 years ago
Read 2 more answers
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