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olga nikolaevna [1]
2 years ago
12

12x+15y=-45 put into slope-intercept form, simplify all fractions.

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
7 0

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

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If the coordinates of a point p(m-3 , -6) = p(-7 , -6), then find the value of m .
Serggg [28]

Answer:

m =-4

Step-by-step explanation:

Given

p(m-3 , -6) = p(-7 , -6)

Required

Find m

p(m-3 , -6) = p(-7 , -6)

By comparison:

m-3  = -7

Add 3 to both sides

m = -7+3

m =-4

8 0
3 years ago
Given a square with area x, you can use the formula d = 1.4x 1 2 to estimate the length of the diagonal of the square. Use the f
Firlakuza [10]

Answer:

<h2>14cm</h2>

Step-by-step explanation:

Given a length of the diagonal of a square modeled by the equation

d = 1.4x^1/2 where x is the area of the square, to find the estimate of the length of the square if area is 100cm², we will substitute x = 100 into the modeled equation to get s as shown;

d = 1.4 x^{1/2}\\\\d = 1.4 (100)^{1/2}\\\\d = 1.4\sqrt{100}\\\\d = 1.4 * 10\\\\d = \frac{14}{10} * 10\\ \\d = 14

<em>Hence the length of the diagonal of the square using the modeled equation is 14cm</em>

5 0
4 years ago
During the spring you do yard cleanup for households and you also paint houses you earn $8 an hour cleaning up and $12 an hour p
Andre45 [30]

Answer: you spent 250 hours during your cleanup.

you spent 150 hours painting

Step-by-step explanation:

Let x represent the number of hours that you spent during your cleanup.

Let y represent the number of hours that you spent painting.

you earn $8 an hour cleaning up and $12 an hour painting last summer and you earned $3800 . it means that

8x + 12y = 3800- - - - - - - - - -- 1

You worked a total of 400 hours. This means that

x + y = 400

Substituting x = 400 - y into equation 1, it becomes

8(400 - y) + 12y = 3800

3200 - 8y + 12y = 3800

- 8y + 12y = 3800 - 3200

4y = 600

y = 600/4 = 150 hours

Substituting y = 150 into x = 400 - y, it becomes

x = 400 - 150

x = 250 hours

5 0
3 years ago
How many grams of cream that is 10% fat should a barista add to 120 grams of cream that is 20% fat mixture to get a 18% fat mixt
Doss [256]

Answer:

x = 30

Step-by-step explanation:

10% fat = 0.1x

x = the solution, what we want to find

120 grams of 20% fat = 0.2 * 120

What we want is mixture of 18%

So....

0.1x + 0.2 * 120 = 0.18 (x + 120)

Solve:

0.1x + 24 = 0.18 (x +120)

0.1x + 24 = 0.18x + 21.6

24 = 0.08x + 21.6

x = 30

4 0
3 years ago
Find -63+(-208)+(-11)
-BARSIC- [3]
<span> -63 + (-208) + (-11) = -63 - 208 - 11 = -282

-------------------------------------------
Answer: -282
</span>-------------------------------------------
6 0
3 years ago
Read 2 more answers
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