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sattari [20]
3 years ago
11

Determine the slope of the line that passes through the points (5, 2) and (-10, -8). a= slope is23/23 b= slope is32/32 c= slope

is−32/−32 d= slope is−23/−23
Mathematics
1 answer:
Nady [450]3 years ago
8 0
Slope is 2/3. All of the letters equal the slope of 1.
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Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2
Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

6 0
1 year ago
You want to have your carpet cleaned in your living room which measures 12’ by 14’. Company A charges $2.75 per square foot and
Sonja [21]

Answer: Company B

Step-by-step explanation:

First we must calculate the area of the carpet. Variable A represents area.

14*12=A

A=168

So the area of the carpet is 168 square feet.

To find what company A will charge we will multiply the 168 by 2.75 they charge per square foot.

168*2.75= Company A\\

Company A charges, $462, while Company B will charge $450 for the one room.

This means Company B has the better price.

3 0
3 years ago
Louis brings 79 pencils to school. After he gives each of his 15 classmates an equal number of pencils, he will give any leftove
slavikrds [6]

Answer:

a. 4\ pencils

b. His teacher will receive more pencils (See explanation).

Step-by-step explanation:

a. The total number of pencils Louis brings to school is:

total\ pencils=79

Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.

Notice that the remainder obtained is: 4.

<em>This means that Louis’s teacher will receive 4 pencils.</em>

b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.

4 0
3 years ago
Read 2 more answers
Through (7,2); parallel to 3x-y=8.
Dovator [93]

Answer:

x=4 y=4

Step-by-step explanation:

4 0
3 years ago
Which inequality is true for x=5
Andreyy89

Answer:

The answer is A) 2x+ 5 > 13

Step-by-step explanation:

4 0
3 years ago
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