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2 years ago

What is 96-8c=20-12

Mathematics

1 answer:

galben [10]2 years ago

5 0

Answer:

c = 11

Step-by-step explanation:

96 - 8c = 20 - 12 , that is

96 - 8c = 8 ( subtract 96 from both sides )

- 8c = - 88 ( divide both sides by - 8 )

c = 11

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Sarah had 730 m of lace to decorate some dresses. She used 4 m of lace to decorate each dress and had 510 m of lace left. Then,

pashok25 [27]

Answer:
$5830.

Explanation:
730-510=220m
220/4=55 dresses made
55*106=$5830

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2 years ago

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If

pav-90 [236]

Answer:

Second option: One solution. Independent.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Since the equations of the system have this form, we know that they are lines.

We can identify that the y-intercept of the first equation $y=-5x+1$ is:

$b=1$

Now we need to find the x-intercept. Substitute $y=0$ and solve for "x":

$0=-5x+1\\\\5x=1\\\\x=\frac{1}{5}=0.2$

Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.

The y-intercept of the second equation $y=-2x-2$ is:

$b=-2$

Now we need to find the x-intercept. Substitute $y=0$ and solve for "x":

$0=-2x-2\\\\2x=-2\\\\x=\frac{-2}{2}=-1$

Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).

You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.

Since the lines intersect, then there is one solution that is true for both equations. It is independent

4 0

3 years ago

4x-y=20 and -2x-2y=10

lara31 [8.8K]

You can use Substitution to solve this problem:

4x-y=20

-y=-4x+20

y=4x-20

Now you have two equations, and you use the first one to substitute into the second one.

y=4x-20 and -2x-2y=10

-2x-2(4x-20)=10

-2x-8x+40=10

-10x+40=10

-10x=-30

-x=-3

x=3

Now that we have figured out what x is, we can substitute x in to one of the equations to figure out y.

4x-y=20 x=3

4(3)-y=20

12-y=20

-y=8

y=-8

So your answer would be x=3 and y=-8

6 0

3 years ago

Kunal told Ana he was going to drop 10 dimes on the table. He said he would give her all the dimes where the "head" side was sho

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

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2 years ago

Rewrite the equation by completing the square. x^2 + 2x – 48 = 0

slamgirl [31]

Answer:

(x+1)^2 = 49

x = 6 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1 ±7

x = -1+7 x = -1 -7

x = 6 x = -8

3 0

3 years ago