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Goryan [66]
3 years ago
13

How many solutions does the system of equations below have? y= 3x + 4 2y -8 = 6x

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

infinitely many solutions (infinite solutions)

Step-by-step explanation:

2y - 8 = 6x

   +8    +8

-------------------------------

2y = 6x + 8

\frac{2y}{2} = \frac{6x}{2} + \frac{8}{2}

-------------------------------

y = 3x + 4

Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.  

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what is the probability that a number selected at random from the set {2,3,7,12,15,22,72,108} will be divisible by both 2 and 3?
evablogger [386]
First, look at how many numbers are divisible by 2 and 3. 
12,72, and 108 and are all divisible by both 2 and 3. That makes 3 out of 8 numbers.
Depending on what form you have to put the probability, that makes it 3:8, 3 out of 8, or 37.5% probability.
7 0
3 years ago
What is the slope of the line that contains these points?
kati45 [8]

Answer:

m=-7

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from chart.</em>

Point (39, 36)

Point (40, 29)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{29-36}{40-39}
  2. Subtract:                       m=\frac{-7}{1}
  3. Divide:                          m=-7
8 0
3 years ago
Read 2 more answers
Karl drove 617.3 miles. For each gallon of gas, the car can travel 41 miles. Select a reasonable estimate of the number of gallo
Hatshy [7]

Answer:

The number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

Step-by-step explanation:

As given

Karl drove 617.3 miles.

For each gallon of gas, the car can travel 41 miles.

i.e

1 gallons = 41 miles

1\ miles = \frac{1}{41}\ gallons

Now find out for the  617.3 miles.

Thus

617.3\ miles = \frac{617.3}{41}\ gallons

617.3\ miles = 15.1\ gallons

617.3\ miles = 15\ gallons\ (Approx)

Therefore the number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

4 0
4 years ago
What is the volume of a rectangular prism with a length of 7m, a hight of 9m and a width of 11m
vazorg [7]
Hello!

To find the Volume of the Rectangular Prism, you'll need to multiply all of the measurements together. So you'll need to multiply 7, 9, and 11 together.

V=7*9*11

First, you'll need to multiply 7 and 9. Once you've multiplied 9 and 7 together, you should have 63. Now you should multiply 63 and 11 together. Once you've multiplied 63 and 11 together, you should have a Volume of 693

You should have a Volume of 693m³

I hope this helps!
5 0
4 years ago
Need help ASAP.!!!!!
exis [7]
I think a rectangular prism.

Hope this helped.
7 0
3 years ago
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