Carson is a high school student with two part-time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour doing clerical work for his father's business. His goal is to earn at least $96 a week, but because of school, he does not want to work more than 15 hours each week. Suppose Carson worked as a babysitter for 5 hours one week. What is the minimum number of full hours he would need to work at his father's business to earn at lease $96 that week?

Answers

Answer 1

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for doing clerical be y

we are told that Carson would like to earn $96 weekly

She babysits for $6 per hour

and earned $8 per hour  doing clerical work

6x+8y=96---------------1

Carson cannot work more than a total of 15 hours per week  

5x+y≤15-------------2

The system of equation for the situation is

6x+8y=96

5 x+y≤15  

y=15-5 x

put y=15-5 x in eqn 1

6x+8(15-5 x)=96

6x+120-40x=96

collect like terms

6x-40x=96-120

-34x=-24

x=24/34

x=0.7

Approximately 1 hour babysitting

put x= 0.7 in 5x+y≤15

5(0.7)+y≤15

3.52+y≤15

y≤15-3.52

y=11.4

Approximately 11 hours doing clerical work

Answer 2

Step-by-step explanation:

Step one:

let the hours for babysitting be x

and the hours for doing clerical be y

we are told that Carson would like to earn $96 weekly

She babysits for $6 per hour

and earned $8 per hour doing clerical work

6x+8y=96---------------1

Carson cannot work more than a total of 15 hours per week

5x+y≤15-------------2

The system of equation for the situation is

6x+8y=96

5 x+y≤15

y=15-5 x

put y=15-5 x in eqn 1

6x+8(15-5 x)=96

6x+120-40x=96

collect like terms

6x-40x=96-120

-34x=-24

x=24/34

x=0.7

Approximately 1 hour babysitting

put x= 0.7 in 5x+y≤15

5(0.7)+y≤15

3.52+y≤15

y≤15-3.52

y=11.4

Approximately 11 hours doing clerical work


Related Questions

Drake is buying a new video game that costs $50 . If the sale tax rate is. 7.5% how much will frame pay in tax?

Answers

Drake Will pay $3.75 in tax.

Answer:

he will pay 3.75 in tax

Step-by-step explanation:

first you do 50 times 0.075(which is 7.5%) to get your answer of 3.75

5d-3+2d=4d+9. I need help can you help me solve this problem

Answers

Answer:

D=4

Step-by-step explanation:

Answer:

d=4

Step-by-step explanation:

5d - 3 +2d = 4d +9

7d-3=4d+9

-4d    -4d

3d-3=9

     +3   +3

3d=12

divide both sides by 3

d=4

8.
What is the area of a circle whose diameter is 10?
A.10 pi
B.20 pi
C.25 pi
D. 100 pi

Answers

Answer:

25 pi

Step-by-step explanation:

area of circle = pi (r)^2

radius = 10/2 = 5

5×5 = 25

25 pi

Answer:

C

Step-by-step explanation:

The formula is pi(r^2)

r=radius

=10/2

What is the value of (2)⁶?​

Answers

Answer:

64

Step-by-step explanation:

2 to the sixth power would be 2 multiplied by itself 6 times

Alexander is a stockbroker he earns 11% commission each week last week he sold $7000 worth of stocks how much did he make last week in commission if he averages the same amount each week how much did he make in commission in 2011

Answers

Answer:

the amount that he makes last week and in the year 2011 is $770 and $40,040 respectively

Step-by-step explanation:

The computation of the amount that he makes last week and in the year 2011 is as follows:

= Sale value of the stocks × earning percentage × number of weeks in a year

= $7,000 × 11% × 52 weeks

= $40,040

hence, the amount that he makes last week and in the year 2011 is $770 and $40,040 respectively

We simply applied the above formula so that the correct value could come

And, the same is to be considered

What is the equation of the line whose y-Intercept is 3 and slope is 1?

Answers

y = x + 3

as x increases by 1, y increases by 1 (Slope)

when x equals 0, y equals 3 (y-intercept)

Netflix Recommendations??(WORTH 50 POINTS) Ive seen..
Riverdale
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Outerbanks
Vampire Diaries
Legacies
CSI Miami
Chicago P.D.
Zoo
Insatible
Breaking Bad
Schitts Creek
Sex Ed
Grey's Anatomy
All American
Cobra Kai

Answers

Answer:

...

Step-by-step explanation:

Answer:

Enola Holmes is a really good movie staring Millie bobby brown  

criminal minds is a good show as well

umbrella academy

super natural  

how to get away with murder my personal fav

Step-by-step explanation:

Please answer this is homework i need help with

Answers

Look at the attachment

A coffee shop worker is putting 18 pounds of coffee into 0.25-pound bags. How many small bags of coffee can the worker make?

Answers

Answer:

72 lb bags

Step-by-step explanation:

18 / 0.25 = 72 bags :D

The answer is 72 bags. How you solve the problem is you take your first value (which is present within your problem) and divide that number by your second value (also present within your problem).

So divide 18 by 0.25.

18 / 0.25 = 72

If this isn’t correct, then I’d suggestion multiplying the values. For example:

0.25 * 18 = 4.5

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
16 gal : 24 gal

Answers

2:3 . you divide the numbers by the greatest factor. which is 8. 24 divided by 8 is 3, 16 divided by 8 is 2. =2:3

HELP!!! ASAP!!! WILL MARK BRANLIST!!!!!

Answers

You’ve got the correct answer (which is the first one) hope this helps

Answer:

It's me again!!

It's A or the one u clicked on

Step-by-step explanation:

because (2^3)-5 eqeuals 1/32768

and 1/2^15 equals to 1/32768

Number the steps for balancing equations:

Answers

Step 1: The Unbalanced Chemical Equation. The unbalanced chemical equation is given to you. ...
Step 2: Make a List. ...
Step 3: Identifying the Atoms in Each Element. ...
Step 4: Multiplying the Number of Atoms. ...
Step 5: Placing Coefficients in Front of Molecules. ...
Step 6: Check Equation. ...
Step 7: Balanced Chemical Equation.

Which expression is a sum of a number and a product?
A. 3 + 5x
B. 5 + x - 3
C. 5(x - 3)
D. 5x​

Answers

Answer:

its a. rhejhdhrhrjdhr

please help!! I'm confused, ignore the math book thing. And it's asking what property it is, the associative property or the communitive property?

Answers

Answer:

its associative property

Step-by-step explanation:

2+d=2+d

d=2

For the sequence an
4n + 7, which term number is 335?

Answers

N equal 175 thanks me later

Can you answer this question​

Answers

Answer:

5/6= 0.83333333333

4/15= 0.266666666

3/5= 0.6

1 &3/4 = 1.75

1/3= 0.33333333

4/1000= 0.004

so the ones that are repeating decimals are:

5/6 , 4/15, and 1/3

Step-by-step explanation:

1.
Divide:
x+3x+2 x +4x+4
x+1 x + 5x+4

Answers

Answer:

x  

4

−5x  

2

+4

To factor the expression, solve the equation where it equals to 0.

x  

4

−5x  

2

+4=0

By Rational Root Theorem, all rational roots of a polynomial are in the form  

q

p

​  

, where p divides the constant term 4 and q divides the leading coefficient 1. List all candidates  

q

p

​  

.

±4,±2,±1

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.

x=1

By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x  

4

−5x  

2

+4 by x−1 to get x  

3

+x  

2

−4x−4. To factor the result, solve the equation where it equals to 0.

x  

3

+x  

2

−4x−4=0

By Rational Root Theorem, all rational roots of a polynomial are in the form  

q

p

​  

, where p divides the constant term −4 and q divides the leading coefficient 1. List all candidates  

q

p

​  

.

±4,±2,±1

Find one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions.

x=−1

By Factor theorem, x−k is a factor of the polynomial for each root k. Divide x  

3

+x  

2

−4x−4 by x+1 to get x  

2

−4. To factor the result, solve the equation where it equals to 0.

x  

2

−4=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

 

​  

. Substitute 1 for a, 0 for b, and −4 for c in the quadratic formula.

x=  

2

0±  

0  

2

−4×1(−4)

​  

 

​  

 

Do the calculations.

x=  

2

0±4

​  

 

Solve the equation x  

2

−4=0 when ± is plus and when ± is minus.

x=−2

x=2

Rewrite the factored expression using the obtained roots.

(x−2)(x−1)(x+1)(x+2)

Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)

Answers

Answer:

I believe it’s g(k)=(-k- 3)(-k+3)

Step-by-step explanation:

The equivalent function is g(k) = -(k - 3)².

The correct option is A.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:

g(k) = -(k² - 6k + 9 ) = -(k - 3)²

Option A can be simplified as:

g(k) = -(k - 3)²

Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).

Therefore, the answer is A. g(k) = -(k - 3)²

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ5

The complete question:

Which function is equivalent to g (k) = -k²+ 6k-9?

A. g(k) = -(k- 3)²

B. g(k) = (-k+ 3)(k+ 3)

C. g(k) = -(k+3)²

D. g(k) = (-k- 3)(–k+ 3)

My daily point give away!!! What is ten times 30 minus 1

Answers

Answer:

29!

Step-by-step explanation:

tysm!

Answer:

10×30-1=299

Step-by-step explanation:

10×30=300

300-1=299

thx

Jack wants to buy a pair of trousers for $60 when he went to the store he found that the prices marked down by 20% how much do they cost no

Answers

60 times .20 is 12
60-12 is 48

There are 5 roses for every 9 carnations in a bouquet. Mr.Rodriguez buys a bouquet with 42 flowers in it. How many carnations are in the bouquet Mr.Rodriguez bought?

Answers

Answer:

I think its eight but I could be wrong

Answer:

27

Step-by-step explanation:

i dont know how to describe what i did but it is correct

what is 2% = in simplest form

Answers

Answer:

1/50

Step-by-step explanation:

Hope this helped have a nice day!

1/50 uejejysjaiwbnwidhdn

If the mean of the four numbers 4, 8, 2x and
12 is 10, then x is

Answers

Answer:

8

4+8+2x+12=10*4

24+2x=40

2x=16

x=8

Tyler runs 8 miles and it takes him 64 minutes. How many miles can he run in 20 minutes?

Answers

Answer:

2.5 miles

Step-by-step explanation:

64/8=20/x

8=20/x

*x    *x

8x=20

/8    /8

x=20/8

x=5/2 or 2.5

2 miles

Since 8 x 8 is 64. We would have thought to multiply 2 x 8 but that leaves us to 16. So if we multiply 2 x 10, that gives us 20.

A migrating bird flies 42 miles in 3 hours. How many miles does it fly in 5 hours?

Answers

42/3 = 14 miles per hour
14 * 5 = 70
Solution: 70 miles

Answer:

70 miles.

Step-by-step explanation:

In this question we are given the speed of the migrating bird. If we remember the definition of speed we will remember that speed is distance the object/body traveled, divided by the time it took the object/body to travel this distance.

Solution:

Firstly we need to find out what distance will the bird travel in 1 hour.  We can easily do that science we know the distance it travels in 3 hours. So we just use the property of a fraction that states that if we multiply or divide the denominator and the numerator by the same number we will get a fraction of the same value but written a bit differently. So we divide the numerator and the denominator by 3 and get

[tex]\frac{42 miles}{3 hours}[/tex] = [tex]\frac{14 miles}{1hour}[/tex]

Now we know what distance the bird travels in one hour so we can easily figure how much the bird will travel in 5 hours by multiplying the numerator and the denominator by 5. So we do...

[tex]\frac{14 miles}{1 hour}[/tex] = [tex]\frac{70 miles}{5 hours}[/tex]

And we get that the bird will travel 70 miles in 5 hours.

If ∆ and ∆ are two triangles such that ∠ ≅ ∠, which of the following
would be sufficient to prove the triangles are similar?

Answers

Step-by-step explanation:

If angles are equal then sides will also be equal.

Cause: Equal angles have equal sides.

You can then prove them by using SAS, SSS ASA, AAS

y=-4x+2
At point (1,y), what is y?

Answers

Answer {4x-2 [-10, 10, -5, 5]
-2? i think because 1(-4)= -4 and +2 would make it -2

complete each number sentence by choosing >, <, or =
14 - (5 +3) , (14 -5) + 3
(1 + 6) + 9 , 1 + (6 +9)
17 - (8+4) , 17 - 8 + 4​

Answers

Answer:

14 - (5 +3) < (14 -5) + 3     <

      14  - 8     9+3

(1 + 6) + 9 = 1 + (6 +9)       =

17 - (8+4) < 17 - 8 + 4​      <

-5                       12

Step-by-step explanation:

SOMEONE PLEASE HELP ME

Answers

Answer:

x=5 y=38

Step-by-step explanation:

180 degrees total minus the right angle (90) = 90... divide that by the two angels and its 45 each so for x; 45/3 = 5 for y; 45-7= 38

Answer:

y=−3x+83

x= −1 /3 y+ 83 /3

Step-by-step explanation:

right angles=90

triangles=180 degrees

180=3x+y+7+90

solve for x

3x+y+97=180

Add -y to both sides

3x+y+97+−y=180+−y

3x+97=−y+180

Add -97 to both sides

3x+97+−97=−y+180+−97

3x=−y+83

Divide by 3

x= −1 /3 y+ 83 /3

now solve for y

180=3x+y+7+90

Add -3x to both sides

3x+y+97+−3x=180+−3x

y+97=−3x+180

Add -97 to both sides

y+97+−97=−3x+180+−97

y=−3x+83

3. You are selling hot cocoa at an
amazing price of $0.80 a cup. You
want to make(earn) $ 48. How many
cups do you need to sell?

Answers

Answer:

you need to sell 60 cups

Step-by-step explanation:

48÷0.80= 60 cups

hope it helps!

please mark me brainliest

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