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Alex787 [66]
3 years ago
13

Desmond wants to pay Andrea $5 more an hour than he pays Max. Desmond has a budget of $250. He has decided Andrea will work 10 h

ours and Max will work 15 hours. Create a system of equations that will help Desmond determine Andrea's hourly rate, a, and Max's hourly rate, m.
Mathematics
2 answers:
sergejj [24]3 years ago
8 0

Answer:

The system of equation is given by:

a - m = 5

10*a + 15*m = 250

And the solution gives us a = 13 and m = 8.

Step-by-step explanation:

Desmond wants to pay 5$ more per hour Andrea than he pays Max. From that statement we can create one equation, that represents the difference between Max and Desmond payments, wich goes by:

a = m + 5

Desmond needs to fit the payment of his employees within a budget of $ 250, and he wants Andrea to work 10 hours while Max works for 15 hours. So the sum amount of time each employee works multiplied by the price of each hour should be equal to his budget. We have:

10*a + 15*m = 250

We have two equations and two variables, we can create a system that goes by:

a - m = 5

10*a + 15m = 250

In order to solve the system we can swap the value of a = m+ 5 into the second equation and solve for m, we have:

10(m+5) + 15m = 250

10m + 50 + 15m = 250

25m = 200

m = 8

In order to find the value of a, we put this value on the first equation:

a = m+5 = 8+5 = 13

e-lub [12.9K]3 years ago
8 0

Answer:

a-5=m

10a+15m = $250

Andreas hourly rate is $13 while that of Max is $8

step-by-step explanation:

Desmond has a budget of $250

He has workers (Andrea and Max)

He wishes to pay Andrea $5 more than he pays Max per hour.

He makes Andrea work 10 hours and Max 15 hours.

Now we are told to create a system of equations that will help Desmond determine Andrea's hourly rate,a and Max's hourly rate,m

a-5 = m

10a+15m= 250

Substitute a-5=m in equation 2

10a+(15×a-5) = 250

10a+15a-75= 250

25a-75= 250

25a=250+75

25a=325

a=325/25

a= 13

Now substitute a= 13 in equation 1

13-5= 8

So Andrea's hourly rate is $13 and Max's hourly rate is $8

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atroni [7]

Answer:

subtract 2, and add 5 repeatedly

Step-by-step explanation:

49, 47, 52, 50, 55

subtract 2, and add 5 repeatedly

49-2=47

47+5=52

52-2=50

50+5=55

55-2=53

53+5=58

and so on........

6 0
3 years ago
7b+12=5b what is the value for b?
likoan [24]

Answer:

B = -6

Step-by-step explanation:

7b + 12 = 5b

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Hope this helps. Pls give brainliest.

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2 years ago
Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of
Misha Larkins [42]

This question is incomplete, the complete question is;

Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.

      Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula

Answer: the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

Step-by-step explanation:

Let us consider testing a hypothesis about a population mean with population standard deviation that is known,

Let the average body mass of the Goldfinch bird be μ^μ

Now our hypotheses are will be;

H₀ : μ = 0.5    and

H₁ : μ < 0.5

For the test, we shall use the z statistic which will be

z = (x"-μ)/(σ/√n)

Now given that;

σ = 0.04 and n = 4  

sample mean x" = ?

Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.

so to find the largest value of sample mean, we will use the maximum of p-value that is 0.01.

For a p-value = 0.01 at the lower tail (which is the percentile for z),

the corresponding z will be -2.33

so we substitute our values into our formula

z = (x"-μ)/(σ/√n)

z(σ/√n) = (x"-μ)

-2.33(0.04/√n) = (x"-0.5)

-0.0466 = x" - 0.5

x" = 0.5 - 0.0466

x"= 0.4534

therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

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maks197457 [2]
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Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to
Nina [5.8K]

Hello!

\large\boxed{9 \%}

To find the percent tax, use the equation:

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Substitute in the given values:

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Multiply by 100 to find the percent tax:

0.09 * 100 = 9\%

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