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Deffense [45]
3 years ago
8

A line that contains the point (-8,-1) and is perpendicular to -15x +3y = 9

Mathematics
1 answer:
zaharov [31]3 years ago
7 0
Put the other line in point slope form...(solve for y :D )

3y=15x+9

y=5x+3, so this line has a slope of 5

For a line to be perpendicular to another the slopes have to be negative reciprocals of each other...mathematically...

s1*s2=-1

So for the other line to be perpendicular to the first:

5m=-1, m=-1/5, thus our other line (so far) is:

y=b-x/5, now we can use the point (-8,-1) to solve for the y-intercept, "b":

-1=b-(-8)/5

-1=b+8/5

-1=b+1.6

b=-2.6

So the perpendicular line that contains the point (-8,-1) is:

y=-0.2x-2.6
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The Girl Scouts collected $90 for charity while the Boy Scouts collected $60.
Ostrovityanka [42]

So first you’ll have to find the total or the sum of collected.

$90+$60= $150

Because you’re finding the percent of the total collected by girl scouts, divide the amount collected from the girl scouts by the total.

$90/$150= .6

Multiply that by 100 to get %60.

6 0
2 years ago
Solve 2(x + 1) = 2x + 2. (1 point)<br> ♡<br> 0<br> O<br> All real numbers<br> No solution<br> 1
sattari [20]

Answer:

B. All real numbers

Step-by-step explanation:

2(x + 1) = 2x + 2

Distribute the 2 inside the parenthesis.

2x + 2 = 2x + 2

Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.

Example:

2(x + 1) = 2x + 2

2(5 + 1) = 2(5) + 2

2(6) = 10 + 2

12 = 12

2(x + 1) = 2x + 2

2(150 + 1) = 2(150) + 2

2(151) = 300 + 2

302 = 302

The expression is equal for any value put in x.

6 0
3 years ago
You need 3 cups of cherries for every 5 cups of watermelon in a recipe for cherry-watermelon fruit smoothies.how many cups of ea
Paha777 [63]

Answer:

24 cups of cherries and 40 cups of watermelon.

Step-by-step explanation:

3 + 5=8

64 divided by 8 = 8

3x8= 24

5x8= 40

24 + 40 = 64

6 0
3 years ago
Find the volume of a prism-shaped watermelon in cubic inches if it's length is 10 inches, its width is 2/3 foot and it's height
Murljashka [212]
The volume is 60 cubic inches.

To solve, follow the formula Volume = Length · Height · Width. If you are solving without a calculator, simply multiply the length and the height first, then multiply the product of that by the width, 2 / 3.
V = 10 · 9 · 2/3
V = (10 · 9) 2/3
V = 90 · 2/3
<span>V = 60 in.³
</span>
Hope this helps. Good luck! :)
3 0
3 years ago
Cody's rent is increasing by $51 per month starting next year. That is an increase of 15% from his current monthly rent. Let r r
Inessa05 [86]

Answer:

r = 43.35

Step-by-step explanation:

Given

Current\ Rent = r

Increment = 15\%

New\ Rent = \$51

Required

Determine the value of r

The value of r can be set up percentage increase formula as follows:

\%Increment  = \frac{New\ Rent - Current\ Rent}{Current\ Rent}

Substitute values in the above equation

15\% = \frac{51 - r}{51}

Cross Multiply

51 - r = 15\% * 51

Convert percentage to decimal

51 - r = 0.15 * 51

51 - r = 7.65

And the value of r\ is\ calculated\ using:

r = 51 -7.65

r = 43.35

Hence, Cody's current rent is $43.35 monthly

8 0
3 years ago
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