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2 years ago

The slope is -5/3. What is the equation for the slope?

1 answer:

7 0

Slope is change in y over change in x, or (y2 - y1) / (x2 - x1). Pick two points, and the change in the y-coordinates over the change in x-coordinates is the slope.

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Ethan buys a video game on sale. If the video game usually costs $39.99, and it was on sale for 20% off, how much did Ethan pay.

Firlakuza [10]

Answer: $31.99

Step-by-step explanation:

So, it is originally $39.99, so first we convert 20% to a decimal, which is 0.2.

Then we do 39.99 * 0.2 to find how much money was taken off.

39.99 * 0.2 = 7.998, or $8

Now, we do the original dollar amount, $39.99, minus the discount, $8, which equals $31.99.

5 0

2 years ago

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Help ASAP need answer:)

Murljashka [212]

Answer:

C. plot a point at the y-intercept

Step-by-step explanation:

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2 years ago

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6(2x + 5) = 2(3x – 2) <br> solution ? I NEED IT NOW SOMEONE PLEASE HELPPPPP!!!

AlladinOne [14]

$\fbox{x = -17/3}$

Explanation:

6(2x + 5) = 2(3x – 2)

[given]

6(2x) + 6(5) = 2(3x) + 2(-2)

12x + 30 = 6x – 4

[distributive property of equality; individually multiply each addend inside the parenthesis and simplify (distribute the terms) ]

12x + 30 = 6x – 4

–6x –6x

6x + 30 = -4

[subtraction property of equality; subtract both sides by 6x in order to keep the x term on the left side]

6x + 30 = -4

–30 –30

6x = -34

[subtraction property of equality; subtract both sides by 30 in order to keep the constant term on the right side]

6x = -34

÷6 ÷6

x = -34/6

[division property of equality; divide both sides by 6 to eliminate the coefficient of 6 in 6x in order to obtain the variable x]

x = -17/3

[GCF(greatest common factor); divide both sides by the greatest common factor until both numbers are prime (only divisible by 1 and itself]

6 0

2 years ago

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A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?

forsale [732]

Answer:

Volume of the empty space in the can is 327.05 $cm^3$

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1: Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the golf ball = $\frac{4}{3}\pi r^3$

Radius = $\frac{5}{2}$ = 2.5 cm

Substituting the values

Volume of the golf ball

= $\frac{4}{3} \pi \times(2.5)^3$

= $\frac{4}{3} \pi \times (15.625)$

= $\frac{4}{3} \times 49.06$

= $\frac{196.24}{3}$

= 65.41

Step 2: Finding the volume of empty space of the can

volume of empty space of the can = volume of 5 golf ball

= 5 X 65.41

= 327.05

7 0

3 years ago

I WILL MARK BRAINLIEST A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to buil

Alona [7]

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable c: number of child bikes.

Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0

1 year ago