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denis23 [38]
3 years ago
13

rebecca purchased a total of 17 books and toys for the woodbine play school. each book cost 6 dollars and each toy costs 11 doll

ar. how many book and toys did she buy for $152
Mathematics
1 answer:
DochEvi [55]3 years ago
8 0
Let x= the number of books purchased: 7 books purchased  
let y = the number of toys purchased;10 toys purchased  
Equations: x+y=17
                 6x+11y=152             x+10=17
-6(x+y=17)          y=10                  -10  -10
                                                    ------------
-6x-6y=-102                                     x=7
6x+11y=152
--------------------
0x+5y=50
     ----  ----
      5     5
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Which of the following is parallel to the line 2x+4y=16
k0ka [10]

Answer:

Option C: y=-1/2x + 8

Step-by-step explanation:

So we have the options:

A) y=2x+5

B) y=-1/2x+4

C)y=-1/2x+8

D)y=-2x+5

But first let's define what parallel even is. When two lines are parallel it means that there slope is the same value and the same sign, while there y-intercepts are different, because if they were the same, then they wouldn't be parallel, they would just be the same exact line.

So we're given the equation in standard form. To find the slope we can change it so it's in the form of y=mx+b. This can be done by simply isolating y. The reason we want it in the slope-intercept form is because m represents the slope and b represents the y-intercept. m is the slope because as x increases by 1 the y-value will increase by m. So the "rise" will be m and the "run" will be 1, thus the slope will be m/1 or in other words m because the slope is defined as rise/run. So let's start the steps to isolating y

Original equation

2x+4y=16

Subtract 2x from both sides

4y=-2x+16

Divide both sides by 4

y = -1/2x + 4

Here we have it in slope-intercept form. In this case the slope, or m, is -1/2 and the y-intercept or b is 4. So now let's look at the other equations.

Option A: This equation has a slope of 2, which is not the same as -1/2 so it is not parallel

Option B: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. But look at the y-intercept it's 4, that's the same y-intercept as the original equation. This means the two equations are equal and not parallel

Option C: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. It has a y-intercept of 8 which is not the same as 4, so the two lines are parallel and not equal! This is the answer

6 0
2 years ago
2. If you know the volume of a cube, how do you find its<br> edge length?<br> nel
MakcuM [25]

\huge\boxed{\sqrt[3]{\text{V}}}

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In other words, the volume of a cube is as follows:

V=e*e*e

Simplified:

V=e^3

To find the edge length from the volume, you'd have to do the opposite, which is to find the cubic root.

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