Which problem could be solved by evaluating the expression 9 × (-2)?

Alexandria purchased a computer on sale. The original price was $1200. The sale price was 5/6 of the original price. how much di

Vaselesa [24]

I believe you ment to say sale price but I hope this helps you understand your question. The original price was 1200, and if it were 5/6 on sale (this method works for all questions like this) you would do 1200 ÷ 6 = 200 x 5 = $1000.

7 0

3 years ago

Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.

emmasim [6.3K]

Answer:

-1

Step-by-step explanation:

You are asked to solve this set by substitution. Note that the first equation defines

the value of y in terms of x. Therefore, you can use the right side of this equation

(2x + 3) as a substitution for y in the second equation. When you substitute 2x +3 for y

in the second equation, the result is:

.

2x + 3 = 4x + 7

.

Let's set the goal of getting all the terms that contain x isolated on the left side of

the equal sign and all the constants by themselves on the right side. Begin by getting rid

of the +3 on the left side by subtracting 3 from the left side. But if you subtract

3 from the left side you must also subtract 3 from the right side. These subtractions

result in the following sequence:

.

2x + 3 - 3 = 4x + 7 - 3

.

Combining numbers on the left side and on the right side simplifies the equation to:

.

2x = 4x + 4

.

Now, in a similar fashion, let's get rid of the 4x on the right side by subtracting

4x from the right side. When we do this subtraction, to keep the equation in balance

we must also subtract 4x from the left side. This results in:

.

2x - 4x = 4x - 4x + 4

.

On both sides of the equation combine terms containing x to get:

.

-2x = 4

.

Finally, solve for x by dividing both sides of the equation by -2 because -2 is the multiplier

of x. This results in:

.

x = 4/-2 = -2

.

So now that we know x = -2, we can return to either one of the original equations

in the equation set and substitute -2 for x. Then we can solve for y. Let's return

to the first equation and substitute -2 for x. This begins with:

.

y = 2x + 3

.

Then substituting -2 for x gives:

.

y = 2*(-2) + 3 = -4 + 3 = -1

7 0

3 years ago

PLEASE HELPPP. What is the value of X? type the number TYPE ONLY THE NUMBER

masha68 [24]

Answer:

Value of X is 11

Step-by-step explanation:

hope it helps

7 0

3 years ago

A certain insect can beat its wings 120 times per second write an equation in slope intercept from that shows the relationship b

dalvyx [7]

Answer:

The relationship between flying time in seconds in the number of times the insect beats its wings:

y = 120x

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

In our case,

Let 'x' be the flying time in seconds

Ley 'y' be the number of times the insect beats its wings

Given that a certain insect can beat its wings 120 times per second.

It indicates that the rate of change or slope = m = 120

In our case the y-intercept b = 0, as there is no initial condition mentioned here.

Now, substituting m = 120 and b = 0 in the slope-intercept form

y = mx+b

y = 120x+0

y = 120x

Therefore, the relationship between flying time in seconds in the number of times the insect beats its wings:

y = 120x

6 0

3 years ago

Solve the system of linear equations.<br><br> y = x + 3<br><br> y = 2x - 2

AlekseyPX

Answer:

x=5, y=8

Step-by-step explanation:

Since both equations equal y, we can set them equal

y = x + 3

y = 2x - 2

x+3 = 2x-2

Subtract x from each side

x-x+3 = 2x-x-2

3 = x-2

Add 2 to each side

3+2= x-2+2

5 =x

Now we need to find y

y =x+3

y=5+3

y=8

5 0

3 years ago

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