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Rus_ich [418]
3 years ago
7

Rachel earned $42 for 3 1/2 hours at her job today. How much does Rachel earn per hour?

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0
The answer is $12 an hour because 12 times 3 is 36 and half of 12 is 6 so add 6 to 36 and you get 42.
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Answer:

b

Step-by-step explanation:

3 0
3 years ago
A website sells a dress at £40 and shoes at £32. The website has an offer: Buy a dress and shoes together and get 1/2 off the pr
tekilochka [14]

Answer:

\pounds36

Step-by-step explanation:

Cost of one dress = \pounds40

Cost of one pair of shoes = \pounds32

Cost of one dress and a pair of shoes is 40+32=\pounds72

They get half off the price because they buy both

\dfrac{72}{2}=\pounds32

The shipping and handling charge is \pounds4.

So, the total amount Ruth has to pay is 32+4=\pounds36.

6 0
2 years ago
Express x^2+8x+15 in the form (x+a)^2-b
IRINA_888 [86]
<h2>'(x+4)^2-1' in the form of (x+a)^2 - b.</h2>

Step-by-step explanation:

We have,

x^2 + 8x + 15

To express x^2 + 8x + 15 in the form of  (x+a)^2 - b = ?

∴ x^2 + 8x + 15

Adding and subtracting 1, we get

= x^2 + 8x + 15 + 1 - 1

= x^2 + 8x + 16 - 1

= x^2 + 2(x)(4) + 4^{2} - 1

Using the algebraic identity,

(x+y)^{2}=x^{2} +2xy+y^{2}

= (x+4)^2-1

Thus, (x+4)^2-1 in the form of (x+a)^2 - b.

7 0
3 years ago
4. A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution. How many
solniwko [45]

Given:

A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution.

To find:

The quantity of the 60% solution in the mixture.

Solution:

Let x be the quantity of the 60% solution and y be the quantity of the 21% solution.

Quantity of mixture is 234. So,

x+y=234

x=234-y                  ...(i)

The mixture has 43% fertilizer. So,

\dfrac{60}{100}x+\dfrac{21}{100}y=\dfrac{43}{100}\times 234

Multiply both sides by 100.

60x+21y=10062            ...(ii)

Using (i) and (ii), we get

60(234-y)+21y=10062

14040-60y+21y=10062

-39y=10062-14040

-39y=-3978

Divide both sides by -39.

\dfrac{-39y}{-39}=\dfrac{-3978}{-39}

y=102

Putting this value in (i), we get

x=234-102

x=132

Therefore, 132 liters of the 60% solution must be used.

3 0
2 years ago
In November, the rain in a certain valley tends to fall in storms of several days duration. The unconditional probability of rai
Mumz [18]

Answer:

0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.​

Step-by-step explanation:

Rain on November 1:

0.9 of 0.6(rain on Oct 31).

0.3 of 0.4(not rain on Oct 31).

Rain on November 2:

Considering rain on November 1, 0.9 probability of rain.

Rain on November 3:

Considering rain on November 2, 0.1 probability of rain.

Find the probability of rain on November 1 and 2, but not on November 3.​

Multiplicating the probabilities:

p = (0.9*0.6+0.3*0.4)*0.9*0.1 = 0.0594

0.0594 = 5.94% probability of rain on November 1 and 2, but not on November 3.​

4 0
2 years ago
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