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spin [16.1K]
3 years ago
13

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? (2 points) Question 4 options: 1) the quantity of x squared plus 16x plus 51, all over 6 times the quantity of x plus 3 2) the quantity of x plus 2, all over the quantity of 3 minus x 3) the quantity of x squared plus 4x minus 9, all over 6 times the quantity of x plus 3 4) the quantity of 2, all over the quantity of 3 minus x
Mathematics
1 answer:
vlabodo [156]3 years ago
5 0

For this case we must simplify the following expression:

\frac {\frac {x + 7} {6- (x + 5)}} {x + 3}

We must apply double C:

\frac {(x + 7) (x + 3)} {6- (x + 5)} =

We apply distributive property in the numerator:

\frac {x ^ 2 + 3x + 7x + 21} {6- (x + 5)} =\\\frac {x ^ 2 + 10x + 21} {6- (x + 5)} =

In the denominator we have by law of signs:

- * + = -\\\frac {x ^ 2 + 10x + 21} {6-x-5} =

Different signs are subtracted and the sign of the major is placed:

\frac {x ^ 2 + 10x + 21} {- x + 1}

ANswer:

\frac {x ^ 2 + 10x + 21} {- x + 1}

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A 4-column table with 4 rows titled Population Data. Column 1 has entries 4, 5, 9, 15. Column 2 has entries 8, 2, 20, 1. Column
zheka24 [161]

Answer: Row 3

Row 2

6 and 10

Step-by-step explanation: C B A

5 0
2 years ago
What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?
lianna [129]

Answer:

x = 200

Step-by-step explanation:

1/5x – 2/3y = 30

substitute in y

1/5x - 2/3(15) = 30

multiply

1/5x - 10 = 30

isolate the variable

1/5x = 40

multiply each side by 5

x = 200

4 0
3 years ago
Read 2 more answers
A triangle has a base of 3⅖ inches and an area of 5⅒ square inches. Find the height of the triangle. Show your reasoning
N76 [4]

Answer: 3 in.

Step-by-step explanation:

Given

The base of the triangle is 3\frac{2}{5}\ inches

The area of the triangle is 5\frac{1}{10}\ inches^2

Solve mixed fraction

Base is

=3\dfrac{2}{5}\\\\=\dfrac{17}{5}\ in.

Area is

=5\dfrac{1}{10}\\\\=\dfrac{51}{10}\ in.^2

The area of the triangle is given by

\Rightarrow \text{Area A=}\dfrac{1}{2}\times \text{base}\times \text{height}

Insert the values to get the height

\Rightarrow \dfrac{51}{10}=\dfrac{1}{2}\times \dfrac{17}{5}\times \text{height}\\\\\Rightarrow \text{height}=3\ in.

8 0
3 years ago
A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can b
tatuchka [14]
There's nothing here to choose from but it should be something like : q + d = 18; .25q + .10d = 2.85
5 0
3 years ago
Read 2 more answers
Look at image for question
Solnce55 [7]

Answer:

1254.24

Step-by-step explanation:

Total area = sum of area of half circles and square

Area of square = 576

Area of half circles = 216π

So total area 576 + 216π

It says use 3.14 for π

So we get total area = 576 + 216(3.14)

==> multiply 216 and 3.14

total area = 576 + 678.24

==> add 576 and 678.24

total area = 1254.24

4 0
2 years ago
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