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3 years ago

Tara earns $8.00 per hour for babysitting. Which expression represents how much Tara earns for h hours of babysitting? 4 83

Mathematics

1 answer:

Westkost [7]3 years ago

6 0

Answer:

Total amount Tara earned for babysitting for h hours = 8h

Step-by-step explanation:

Amount earned per hour for babysitting = $8.00

Number of hours of babysitting = h hours

Total amount Tara earned for babysitting for h hours =

Amount earned per hour for babysitting × Number of hours of babysitting

= 8 × h

= 8h

Total amount Tara earned for babysitting for h hours = 8h

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Write three different equations that have x=5 as a solution

svlad2 [7]

Answer: The three different equations will be

$x+3=8\\\\2x-8=2\\\\4x-4=16$

Step-by-step explanation:

We have to write three equation that have x = 5 as a solution:

1) First equation will be

$x+3=8\\\\x=8-3\\\\x=5$

2) Second equation will be

$2x-8=2\\\\2x=8+2\\\\2x=10\\\\x=\frac{10}{2}\\\\x=5$

3) Third equation will be

$4x-4=16\\\\4x=16+4\\\\4x=20\\\\x=\frac{20}{4}\\\\x=5$

Hence, the three different equations will be

$x+3=8\\\\2x-8=2\\\\4x-4=16$

7 0

4 years ago

Read 2 more answers

At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t

grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

Step-by-step explanation:

Let X = temperature increase.

The random variable X follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of X is:

$f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.$

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

$P(X$

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

$P(20$

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

$P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467$

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable X as follows:

$E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5$

Thus, the expected value of the temperature increase is 17.5°C.

7 0

3 years ago

3 12 fraction minus 8 12

Alexus [3.1K]

If you are saying:
(3/12) - (8/12)
Then since their denominators are the same we can subtract the numerators to get our answers.

3 - 8 = -5

Following the rule of adding and subtracting fractions, the denominators will not change unless they are different.

So: (3/12) - (8/12) = -5/12

6 0

3 years ago

Keiko uses 6.9 pints of blue paint and white paint to paint her bedroom walls. 2/5 of this amount is blue paint, and the rest is

lianna [129]

Answer: $4.14\ \text{pints}$