You need to know which is the better buy

Solve the following system of equations by substitution

den301095 [7]

Answer:

c. (2, -18)

Step-by-step explanation:

y = -5x - 8

y = 3x - 24

3x - 24 = -5x - 8

8x = 16

x = 2

y = 3x - 24

y = 3(2) - 24

y = 6 - 24

y = -18

Answer: c. (2, -18)

5 0

2 years ago

The base of a trapezoid are 24 feet and 16 feet. The height of the trapezoid is 12 feet. what is the area of the trapezoid?

kobusy [5.1K]

Answer:

240 ft^2

Step-by-step explanation:

area: (24+16)12/2=240 ft^2

(the area of a trapezoid is the sum of the bases multiplied by the height over 2.)

4 0

2 years ago

Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

blagie [28]

A.
$5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0$

B.
$3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}$

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
$3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 12 to both sides} \\
x=11$

3 0

2 years ago

last week rafael drove m miles. this week he drove 153 miles. using m, write an expression for the total number of miles he drov

zzz [600]

The expression for the total number of miles he drove in the two weeks is m + 153

<h3>How to determine the expression for the total number of miles he drove in the two weeks?</h3>

The given parameters are

Last week = m miles

This week = 153 miles

The expression for the total number of miles he drove in the two weeks is

Expression = Last week + This week

This gives

Expression = m + 153

Hence, the expression for the total number of miles he drove in the two weeks is m + 153