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sleet_krkn [62]
3 years ago
12

You are paid 82.50 for 7 1/2 hours of work.what is your rate of pay

Mathematics
1 answer:
lana [24]3 years ago
7 0
Hello! So we are talking about $82.50 earned for 7 ½ hours of work. 7 ½ is equivalent to 7.5. To find the rate of pay, all you have to do is divde the amount earned by the number of hours worked. 82.50/7.5 is 11. Let's check it by multiplying to make sure it works. 11 * 7.5 is 82.5. 82.50 = 82.5. There. Your rate of pay is $11 per hour.
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Ryan has x stamps in his collection if he was 6 times as many stamps as penny, how many stamps does penny have in her collection
Free_Kalibri [48]

The number of stamps with penny in terms of x is \frac{x}{6}

<em><u>Solution:</u></em>

Given that,

Ryan has x stamps in his collection

Number of stamps of Ryan = x stamps

Let the stamps with penny be "a"

Ryan has 6 times as many stamps as penny

Therefore,

Number of stamps in Ryan = 6 times as many stamps as penny

\text{Number of stamps in Ryan } = 6 \times a\\\\x = 6a\\\\a = \frac{x}{6}

Thus number of stamps with penny in terms of x is \frac{x}{6}

7 0
4 years ago
A motorboat takes 5 hours to travel 100 kilometers going upstream. The return trip takes
tatuchka [14]

Step-by-step explanation:

Let's say b is the rate of the boat in still water, and c is the rate of the current.

Distance = rate × time

Going upstream:

100 = (b − c) (5)

20 = b − c

Going downstream:

100 = (b + c) (2)

50 = b + c

Solve the system of equations using substitution or elimination.  Using elimination, add the equations together:

70 = 2b

b = 35

c = 15

The boat's speed is 35 km/h, and the current's speed is 15 km/h.

8 0
3 years ago
Am i right if not pls help<br> will mark brainliest!!!
Vanyuwa [196]

Answer:

you are right............

4 0
3 years ago
Read 2 more answers
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
lesya692 [45]

Answer:

A)segment A"B"= AB / 2

Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A"B"?

coordinate plane with triangle ABC at A(-3, 3), B(1, -3), and C(-3, -3)

A)segment A"B"= AB / 2

B)segment AB = segment A"B"/ 2

C)segment AB / segment A"B"= 1/2

D)segment A"B" / segment AB = 2

A"B" = AB / 2

Because

1. translations do not change the lengths of segments, so (x+2, y+0) preserves the length of AB, i.e. mA'B' = mAB

2. Dilation causes the new segment to be transformed to a new length according to the old length * the scale factor of (1/2).

Therefore A"B" = (1/2)AB, or AB/2.

4 0
3 years ago
Rewrite this standard form quadratic equation into vertex form by completing the square. Upload your work here to show your thin
Alex787 [66]

Solution :

Given the equation :

$y = x^2 - 6x+3 $

$y=1(x^2 - 6x +n)+3$

$n = \left(\frac{b}{2}\right)^2$

$n = \left(\frac{6}{2}\right)^2$

n = 9

$y=1(x^2 - 6x +9-9)+3$

$y=1(x^2 - 6x +9)-9+3$

$y=1(x-3)^2- 6$

Therefore the vertex form of $y = x^2 - 6x+3 $  is  $y=1(x-3)^2- 6$.

3 0
3 years ago
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