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2 years ago

David works six more hours per week than Xavier. If Xavier works 32 hours a week, what is the total hours the two work in a

Mathematics

2 answers:

Mice21 [21]2 years ago

7 0

Answer:

70 Hours.

Step-by-step explanation:

Xavier works 32 hours per week.

David works 6 more hours than Xavier.

32 + 6 = 38

David works 38 Hours per week.

The total of there hours is David + Xavier...

38 + 32 = 70 Hours.

Finger [1]2 years ago

5 0

We are required to find the total hours David and Xavier works in a week

The total hours David and Xavier works in a week is 70 hours

let

number of hours Xavier works = 32 hours

number of hours David works = (6 + 32) hours

= 38 hours

Total number of hours David and Xavier works in a week = number of hours Xavier works + number of hours David works

= 32 hours + 38 hours

= 70 hours

Therefore, the total hours David and Xavier works in a week is 70 hours

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Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family ne

FrozenT [24]

The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5

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3 years ago

What is three squared minus two thirds?

Tems11 [23]

three squared minus two thirds

$3^2-\frac{2}{3}$

three square = 3 x 3 = 9

$\begin{gathered} 3^2-\frac{2}{3}=9-\frac{2}{3} \\ 3^2-\frac{2}{3}=\frac{9}{1}-\frac{2}{3} \end{gathered}$

Least common factor of 1 and 3 is 3

$\begin{gathered} 3^2-\frac{2}{3}=\frac{9}{1}-\frac{2}{3} \\ 3^2-\frac{2}{3}=\frac{27-2}{3} \\ 3^2-\frac{2}{3}=\frac{25}{3} \end{gathered}$

Three squared minus two third is twenty five by three.

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11 months ago

kell works at an after-school program at an elementray school. on monday he work for 1.5 hours and recived 12.6 dollars, on tues

Rina8888 [55]

Answer:

Kell would make more money working 10 hours than Markio.

Step-by-step explanation:

To find how much Kell makes per hour, you have to divide how much he worked by how much he earned. So on Monday, Kell worked 1.5 hours and received 12.6 dollars. Divide 12.6/1.5 and you'll find you're answer.

Monday: 12.6/1.5=8.4

On Tuesday, the problem states that he worked 2.5 hours and received 21 dollars. Divide 21/2.5 and you'll find the answer.

Tuesday: 21/2.5= 8.4

On Wednesday, the problem states that he worked 4 hours and received 33.60. Divide 33.60/4 and you'll get you're answer.

Wednesday: 33.60/4= 8.4

So we can conclude that Kell makes $8.40 per hour.

Now the problem states, Markio gets paid 7 dollars per hour. To find the answer to the question, you have to multiply how much they make per hour times 10 hours.

Markio: 7x10=70

Kell: 8.4x10=84

So to answer the question, Kell would make more money working 10 hours.

Hope it helps!

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2 years ago