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3 years ago

9

8(a + 30)=80 a equals how much?

2 answers:

Aleksandr [31]3 years ago

4 0

Answer:

a = -20

Step-by-step explanation:

In this question, you would solve for "a".

Solve:

8(a + 30)=80

Use the distributive property.

8a + 240 = 80

Subtract both sides by 240

8a = -160

Divide both sides by 8.

a = -20

Your final answer would be a = -20

OLEGan [10]3 years ago

4 0

Answer:

a=-20

Step-by-step explanation:

Multiply 8 by a and 30 which is 8a and 240

The equation looks like this:

8a+240=80

Subtract 240 on both sides:

8a+240-240=80-240

The equation looks like this now:

8a=-160

Divide by 8 on both sides:

8a/8=-160/8

The answer will be:

a=-20

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Select the correct answer.

ArbitrLikvidat [17]

Answer:

I think its A

Step-by-step explanation:

7 0

2 years ago

What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

3 0

2 years ago

Write the common rule to describe the translation using coordinate notation.

UNO [17]

The common rule is (x - 1, y + 3) can be used to describe the translation.

Step-by-step explanation:

Step 1:

The point J (-3, -4) becomes $J^{1}$ (-4, -1).

In order to write the rule for translation from J to $J^{1}$ , we subtract the x coordinate of J from $J^{1}$ and subtract the y coordinate of J from $J^{1}$ .

The x coordinate $= -4-(-3) = -4+3 = -1.$

The y coordinate $= -1-(-4) = -1+4 = 3.$

Step 2:

So from the calculations, we get that the x coordinate is subtracted by 1 i.e. $x-1$ and the y coordinate is increased by 3 i.e. $y+3$ .

So the common rule is (x - 1, y + 3).

4 0

3 years ago

the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME

fredd [130]

$25,28,32,37,43,50,58,67.$

$\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$

4 0

2 years ago

Rachel has a $15,000, three-year loan with an APR of 725%.C. What is the finance charge?

Inessa [10]

I think it’s 17% i might be wrong

5 0

2 years ago