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dezoksy [38]
4 years ago
12

John pays $15 per hour plus a fee of $10 to get his house cleaned.if he has to pay $160 how many hours did he get his house clea

ned?
Mathematics
1 answer:
tresset_1 [31]4 years ago
7 0

Answer:

6 hours and 40 minutes

Step-by-step explanation

So,if you add 15+10=25

After you've done that divide $160 by 25

This is how I got 6.4 when you turn it to hours and minutes it is 6 hours and 40 minutes

In minutes it is 400 minutes

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Y=-1/3x^2-4x-5 in vertex form
grigory [225]

Answer:

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

Step-by-step explanation:

Given function:

Y=-\frac{1}{3}x^2-4x-5

We need to find the vertex form which is.,

y=a(x-h)^2+k

where (h,k) represents the co-ordinates of vertex.

We apply completing square method to do so.

We have  

Y=-\frac{1}{3}x^2-4x-5

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5

-3Y=x^2+12x+15

Isolating x^2 and x terms on one side.

Subtracting both sides by 15.

-3Y-15=x^2+12x-15-15

-3Y-15=x^2+12x

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of x term, square it and add it both sides side.  

square of half of the co-efficient of x term = (\frac{1}{2}\times 12)^2=(6)^2=36

Adding 36 to both sides.

-3Y-15+36=x^2+12x+36

-3Y+21=x^2+12x+36

Since x^2+12x+36 is a perfect square of (x+6), so, we can write as:

-3Y+21=(x+6)^2

Subtracting 21 to both sides:

-3Y+21-21=(x+6)^2-21

-3Y=(x+6)^2-21

Dividing both sides by -3.

\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}

Y=-\frac{1}{3}(x+6)^2+7   [Vertex form]

8 0
3 years ago
Travis sketches a scale drawing of his favorite race car. The scale he uses is 1 centimeter equals 1/4 foot. If the length of th
kirill [66]
16 because 1=  1 x 1/4 foot so 64= 64 x 1/4 foot
4 0
3 years ago
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Arnold's entire workout consisted of 10 minutes of warm up exercise, 25 minutes of lifting weights, and 15 minutes on the treadm
lord [1]

Add all the times together:

10 + 25 + 15 = 50 minutes total.

For the ratio divide the time for weights by total time:

25/50 which reduces to 1/2

The ratio is 1/2

5 0
3 years ago
Read 2 more answers
Solve 12.7 ≥ s − 5.3 Graph the solution.
Julli [10]
Hello!

I dont a graph to show you but I will solve the answer.

12.7 + 5.3 <span>≥ s

18 </span><span>≥ s

s </span><span>≤ 18
</span><span>That is your answer.

Enjoy.
~Isabella

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8 0
4 years ago
Suppose triangle ABC will be dilated using the rule . What will be the distance from the center of dilation, Q, to the image of
Blababa [14]

Answer:

4

Step-by-step explanation:

The rule of dilation is D_{Q,\frac{2}{3}}. This means that each distance QX' is equal to \dfrac{2}{3}QX, where X is initial point and X' is its image after dilation.

Since QA=6, then

QA'=\dfrac{2}{3}\cdot 6=4.

6 0
3 years ago
Read 2 more answers
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