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3 years ago

12

Solve the equation -1/3m -7=5

1 answer:

Naddik [55]3 years ago

4 0

-1/3 m - 7 = 5

add 7 to each side

-1/3 m = 12

multiply by -3 to each side

m = -36

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Shona is buying a rug for her room. Store A has the rug for $45 with a 10% discount. Store B has the same rug for $46 and is off

Rudik [331]

Store A :
0.90(45) = 40.50......40.50 + .06(40.50) = 40.50 + 2.43 = 42.93

store B :
46 - 10 = 36......36 * .06(36) = 36 + 2.16 = 38.16

she would have to purchase the rug from store B...because she doesn't have enough money to purchase it from store A. She would have (40 - 38.16) = $ 1.84 in change.

I find this question to be a little misleading....because on a rebate, u dont get the discount right away....u first pay full price, and then later u get the discount mailed back to you. So actually, she wouldn't have enough money at either store.

8 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

This is the full question

alexdok [17]

The answer appears to be 2 dollars for 3 pounds because the pattern seems like 2,4,6

4 0

3 years ago

Read 2 more answers

Which of the following is not a valid triangle congruence theorem?

padilas [110]

All of them or A or b

5 0

2 years ago

Question in image please help quickly, I'm on a time limit :D

inn [45]

Answer:

By distance formula ,

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AB = \sqrt{(-1-5)^2 + (6-3)^2}$

$AB = \sqrt{36 + 9}$

$AB = \sqrt{45}$

$AB = 6.708$ (approx)

To give answer in 3 significant figures :

AB = 6.70

4 0

2 years ago