All categories

3 years ago

Solve each system by substitution.

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

-8x + 4y = 20
-8x = 20 - 4y

Subtitute -8x with 20-4y
-8x + 7y = 5
(20-4y) + 7y = 5
20 + 3y = 5
3y = 5 - 20
3y = -15
y = -15/3
y = -5

Find x
-8x = 20 - 4y
-8x = 20 - 4(-5)
-8x = 20 + 20
-8x = 40
x = 40/-8
x = -5

You might be interested in

A taxi service charges an initial $5 fee, plus $2 per mile driven. A Write an equation to represent the situation. B. How much i

alina1380 [7]

C=2m+5

c=2(150)+5
c=300+5
c=$350

7 0

3 years ago

Read 2 more answers

The cost of 9 scarves is $96.75. What is the unit price?

qaws [65]

Answer:

$10.75 per scarf

Step-by-step explanation:

Take the price and divide by the number of scarves.

$96.75 / 9 scarves

$10.75 per scarf

8 0

4 years ago

The sum of 86, 68, and 38 is 192. What do you know about the sum of 68, 38, and 86?

Inessa [10]

According to the commutative property of addition, they are the same.

Hope this helps!

5 0

3 years ago

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

Please help with what you can!<br><br> Thank you!

Nady [450]

Answer:

The answer to number 9 is: 148.16

3 0

3 years ago