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Ilia_Sergeevich [38]
2 years ago
15

Madison is starting her own sewing business. Madison has calculated that she needs to earn $840 per week to support her family.

If she knows she will only be able to work 75 hours per week, what is the minimum amount of dollars per hour that she will need to charge her customers?
Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
6 0

Answer:

$11.20 per hour

Explanation:

x = dollars per hour

75x = 840

x = 11.20

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The two polygons are similar.Find the length of x
alexandr1967 [171]

Answer:

x = 9.2

Step-by-step explanation:

7 0
2 years ago
Express the following ratio in its simplest form.<br> 4:12
jeka94

Answer:

3:12

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
2 years ago
Pedro said, "On summer vacation, I spent 3 1/2 weeks with my uncle and two weeks more with my friend than with my uncle." How ma
ladessa [460]

Answer:

Pedro spent 9 weeks with his uncle and his friend.

Step-by-step explanation:

First, you need to find the amount of weeks Pedro spent with his friend. The statement indicates that he spent two weeks more with his friend than with his uncle which means that you have to add the number of weeks he spent with his uncle plus 2, which you can show in a number line:

       3\frac{1}{2}                   2

___________________

1       2       3       4       5       6       7       8       9       10        

3\frac{1}{2}+2=5\frac{1}{2}

Now, you can find the and answer by adding up the number of weeks he spent with his uncle plus the weeks he spent with his friend:

       3\frac{1}{2}                                   5\frac{1}{2}

__________________________________

1       2       3       4       5       6       7       8       9       10  

3\frac{1}{2} + 5\frac{1}{2}=9

According to this, the answer is that Pedro spent 9 weeks with his uncle and his friend.

6 0
3 years ago
Solve each equation by completing the square NEED THIS IN 10 MINS WILL GIVE BRAINLIEST
yulyashka [42]

Answer:

Step-by-step explanation:

7(b² - 2b - 8) = 0

7(b² - 2b +   ) = 8

7(b² - 2b + 1) = 8 + 1

7(b - 1)² = 9

(b - 1)² = 9/7

b - 1 = ±√(9/7)

b = 1 ±3√(1/7)

b ≈ -0.134, 2.134

m² + 10m + 14  = -7

m² + 10m +      = -7 - 14

m² + 10m + 25 = -7 - 14 + 25

(m + 5)² = 4

m + 5 = 2

m = -3

p² - 8p + 21 = 6

p² - 8p +     = 6 -21

p² - 8p + 16 = 6 -21 + 16

(p - 4)² = 1

p - 4 = 1

p = 5

4 0
2 years ago
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