All categories

3 years ago

Bethany uses 8% of her paycheck to pay for gas. If she spent 34.12 on gas this week how much was her paycheck?

Mathematics

1 answer:

Schach [20]3 years ago

7 0

Answer: 426.5

Step-by-step explanation:

You know that she spent 34.12 on gas and you also know that that amount of money was the 8% of her paycheck.

Therefore, keeping the above on mind, you can write the following expression, where $x$ is the total amount of money of her paycheck:

$0.08x=34.12$

When you solve for $x$ , you obtain the result shown below:

$x=\frac{34.12}{0.08}\\\\x=426.5$

You might be interested in

You are purchasing a house 12 years from now. the estimated purchase price is $171,600.00. you want to make a 20% down payment.

diamong [38]

Answer:
$238.33

Explanation:
Assume that the amount you need to save per month is x.

You will be saving monthly for 12 years. This means that the amount you will save after 12 years is:
amount saved after 12 years = 12 * 12 * x = 144x

Now, you need to save 20% of $171,600.00. We will first need to calculate this value.
20% of $171,600.00 = 0.2 * 171,600.00 = $34320

Now, to know your monthly savings, equate the total amount saved in 12 years with the amount that needs to be saved and solve for x as follows:
144x = 34320
x = 34320 / 144
x = 238.33

This means that, to meet your goal, you need to save $238.33 monthly for 12 years.

Hope this helps :)

8 0

3 years ago

3x-4y+11 for x-2 and y-1

Darina [25.2K]

Answer:

3×(-2)-4×(-1)+11

=-6-(-4)+11

this is what i think

7 0

2 years ago

Is -4 < -5 1/2 a true statement?

Rzqust [24]

Yes it is because ( hey i actually dont know the answer) the calculation of calcullas

7 0

3 years ago

Read 2 more answers

Natalie made a nut mixture that contains

Harman [31]

Answer:

50%

Step-by-step explanation:

10 kg of mixed nuts that contain 60% peanuts

60(10)

plus

15 kg of a different brand of mixed nuts. with x% peanuts

x(15)

That makes 25 kg with 54% peanuts

54(25)

--------------------------

Equation

60(10) + x(15) = 54(25)

600 + 15x = 1350

Subtract 600 from both sides

15x = 750

Diviede both sides by 15

x = 50

50%

4 0

3 years ago

A survey conducted by the Consumer Reports National Research Center reported, among other things, that women spend an average of

Nookie1986 [14]

Answer:

(a) The probability that a randomly selected woman shop exactly two hours online is 0.217.

(b) The probability that a randomly selected woman shop 4 or more hours online is 0.0338.

Step-by-step explanation:

Let X = time spent per week shopping online.

It is provided that the random variable X follows a Poisson distribution.

The probability function of a Poisson distribution is:

$P (X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0,1,2,...$

The average time spent per week shopping online is, λ = 1.2.

(a)

Compute the probability that a randomly selected woman shop exactly two hours online over a one-week period as follows:

$P (X=2)=\frac{e^{1.2}(1.2)^{2}}{2!} =0.21686\approx0.217$

Thus, the probability that a randomly selected woman shop exactly two hours online is 0.217.

(b)

Compute the probability that a randomly selected woman shop 4 or more hours online over a one-week period as follows:

P (X ≥ 4) = 1 - P (X < 4)

= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

$=1-\frac{e^{1.2}(1.2)^{0}}{0!}-\frac{e^{1.2}(1.2)^{1}}{1!}-\frac{e^{1.2}(1.2)^{2}}{2!}-\frac{e^{1.2}(1.2)^{2}}{3!}\\=1-0.3012-0.3614-0.2169-0.0867\\=0.0338$

Thus, the probability that a randomly selected woman shop 4 or more hours online is 0.0338.

(c)

Compute the probability that a randomly selected woman shop less than 5 hours online over a one-week period as follows:

P (X < 5) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)

$=\frac{e^{1.2}(1.2)^{0}}{0!}+\frac{e^{1.2}(1.2)^{1}}{1!}+\frac{e^{1.2}(1.2)^{2}}{2!}+\frac{e^{1.2}(1.2)^{3}}{3!}+\frac{e^{1.2}(1.2)^{4}}{4!}\\=0.3012+0.3614+0.2169+0.0867+0.0260\\=0.9922$

Thus, the probability that a randomly selected woman shop less than 5 hours online is 0.9922.

8 0

4 years ago