Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want to work over 65 hours per week combined. Jane is paid $14 per hour at her job, and Jack is paid $10 per hour at his. Neither of them are paid extra for overtime, but they are allowed to determine the number of hours per week that they wish to work. If they need to make a minimum of $850 per week before taxes, what is the maximum amount of hours that Jack can work per week according to these limits?

Answers

Answer 1

By setting up a system of equations we can easily solve this problem. Let's denote Jane's working hours with x and Jack's working hours with y. Since they don't want to work more than 65 hours, the first equation is x+y=65. The second equation is 14x+7y=770. By solving this system of equation , we find that y=20 hours, which is Jack's maximum working hours. 


Related Questions

10. What is the length of s?
I
450

Answers

450 it is trust me hehdjxgjsbdjdjdvbbjdv

Stephanie has 7/8 pounds of bird seed she used 3/8 pound to fill a a bird feeder how munch bird seed does Stephanie have left

Answers

Answer:

1/2 is your answer = 4/8 because 7/8 - 3/8 = 4/8 = 1/2.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

7/8 - 3/8 = 4/8

4/8 = 1/2

Find the product of (x − 8)2 and explain how it demonstrates the closure property of multiplication.

A. x2 − 64; is a polynomial

B. x2 − 16x + 64; is a polynomial

C. x2 − 64; may or may not be a polynomial

D. x2 − 16x + 64; may or may not be a polynomial

Answers

Answer:

B

Step-by-step explanation:

(x-8)^2=(x-8)(x-8)=x^2-8x-8x+64=x^2-16x+64

Answer:

x2 − 16x + 64; is a polynomial

A function is given:


f(x) = 3x + 12


a. Determine the inverse of this function and name it g(x).

b. Use composite functions to show that these functions are inverses.

c. Evaluate f(g(–2)). Explain: What is the domain?

Answers

Answer:

See explanations below

Step-by-step explanation:

Given the function

f(x) = 3x+12

Let y = f(x)

y = 3x+12

Replace y with x

x = 3y+12

Make y the subject

3y = x-12

y = (x-12)/3

Hence the required inverse is!

g(x) = (x-12)/3

b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))

f(g(x)) = f((x-12)/3)

Replace x in f(x) with x-12/3

f(g(x)) = 3(x-12)/3 +12

f(g(x)) = x-12+12

f(g(x)) = x

Similarly for g(f(x))

g(f(x)) = g(3x+12)

g(f(x)) = (3x+12-12)/3

g(f(x)) = 3x/3

g(f(x)) = x

Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other

c) Given f(g(x)) = x

f(g(–2)) = -2

The domain is the input variable of the function. Hence the domain is -2

Directions: Tell whether the following are characteristics of stocks or bonds. Write stock or
bond
1. A form of equity financing or raising money by allowing investors to be part owners of
the company.
2. It can be appropriate for retirees or for those who need the money soon
3. Investors can earn if the security prices increase, but they can loose money if the
security prices decrease or worse if the company goes bankrupt.
4. A form of debt financing or raising money by borrowing from investors
5. Investors are guaranteed interest payments and a return of their money at the maturity
date​

Answers

Answer:

I need help with my question. can someone help me

You make a profit of $2 for each baked good (b) you sell in your fundraiser. Which
equation could help you determine how many you need to sell to earn your goal
of $950? *
How many baked goods do you need to sell to meet your goal

Answers

Answer:

an equation to find it could look like:

950=2x

you need 425 sold baked goods to reach your goal

Step-by-step explanation:

how do I explain?

Answer:

1. 2x = 950

2. you will need 475 baked goods to meet your goal.

Step-by-step explanation:

help me with this answer please !

Answers

Answer:

pick number 3 I think that's the one

The yearbook club had a meeting. The meeting had 24 people, which is three-fourths of the club. How many people are in the club?

Answers

Answer:

32

Brainiest plz?  :)

You borrow $3,209 from a friend and promise to pay back $4,210.21 in 4 years. What simple interest rate will you pay?

Answers

Answer:

7.80%

Step-by-step explanation:

Given data

Amount borrowed=$3,209

Payback amount= $4,210.21

Simple interest= 4,210.21-3,209= 1001.21

time= 4 years

We know that

SI= PRT/100

1001.21= 3,209*R*4/100

cross multiply

1001.21*100= 12836R

100121/ 12836= R

R=7.80

Hence the rate is 7.80%

Find BC to the nearest tenth. Does anyone know how to do this? I rlly need it now pls.

Answers

9514 1404 393

Answer:

  41.4

Step-by-step explanation:

The Law of Cosines tells you ...

  a² = b² +c² -2bc·cos(A)

where sides a, b, c are opposite angles A, B, C, respectively. Filling in the given numbers, you have ...

  a² = 30² +26² -2·30·26·cos(95°)

  a² ≈ 1711.96

  a ≈ √1711.96 ≈ 41.38

The length of BC is about 41.4 units.

Ajani's mother baked 5 peanut butter cookies for every 7 chocolate chip cookies she baked. If she made a total of 96 cookies, how many were peanut butter cookies?

Answers

15 peanut butter cookies Cookies

Answer:

5+7=12

96/12=8

5*8=40 cookies

Step-by-step explanation:

¿Están los números 89 y 144 en relación
áurea?
a. No porque su producto es 12816.
b. No porque su cociente es 0,5.
c. Si porque su diferencia es 55.
d. Si porque su cociente es 0,618...

Answers

Answer:

b. No porque su cociente es 0,5.

Evaluate h(16) for the function h(x) = -|x/-4|

Answers

Answer: h(16)=-4

Step-by-step explanation:

Given

h(x)=-|x/-4|

Substitute the value into the function

h(x)=-|x/-4|

h(16)=-|(16)/-4|

h(16)=-|-4|

h(16)=-4

Hope this helps!! :)

Please let me know if you have any questions

Need help ASAP Geometry

Answers

Answer:

Step-by-step explanation:

5x-1 is twice the bisector angle 4x-17 so

5x-1=2(4x-17)

5x-1=8x-34

-3x=-33

x=11, abc=5x-1

5(11)-1=54

x^2+4y^2=36 the lenght of the major axis is?

Answers

Answer:

Step-by-step explanation:

x² + 4y² = 36

divide by constant

x²/36 + y²/9 = 1

x²/6² + y²/3² = 1

6>3, so length of major axis is 2×6 = 12

Select the answer choice that correctly describes the graph (on a number line) of the inequality: h > 7
Group of answer choices

closed circle at 7 with an arrow pointing left

open circle at 7 with an arrow pointing left

open circle at 7 with an arrow pointing right

closed circle at 7 with an arrow pointing right

Answers

Close circle at 7 with an arrow pointing

right.

hope it helps

Let f(x) = x2 + 3
Find f(2)
f(2)=

Answers

Answer:

7

Step-by-step explanation:

f(2) = 2^2 +3

=4+3

=7

7
You substitute 2 for the x and then just solve the equation by multiplying first and then adding.

A ride in a taxi costs a flat rate of $4.25 and $1.75 per mile.
If my bill was $14.75, how many miles did I ride?

Answers

Answer:

6

Step-by-step explanation:

take 14.75 and minus the flat rate of 4.25 and then divide the 1.75 per mile and you get that you rode 6 miles

2
X. - 144

(Type your answer in factor

Answers

Answer:

(x+12) (x-12)

Step-by-step explanation:

12x12=144

si un costal de azúcar contiene 61.5Kg ¿cuántos paquetes de 0.750Kg se pueden llenar?​

Answers

Answer:

Cantidad total = 82 Paquetes

Step-by-step explanation:

Dados los siguientes parámetros;

Cantidad de azucar = 61.5kg

Tamaño de cada paquete = 0.75kg

Para encontrar la cantidad total de paquetes;

[tex] Cantidad \; total = \frac {Cantidad}{Tamano \; de \; cada \; paquete} [/tex]

[tex] Cantidad \; total = \frac {61.5}{0.75} [/tex]

Cantidad total = 82 Paquetes.

Por lo tanto, se pueden llenar 82 paquetes de azúcar.

If x + 3 = 13, then the value of 5x – 74 is

Answers

Answer:

-24

Step-by-step explanation:

We are given two equations and are asked to solve if one equals a certain amount to the other.

Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?

10 of course, therefore x = 10, and we can implement into the other equation.

5x - 74

Since x = 10, we can substitute x with 10 and then multiply.

5(10) - 74

50 - 74

What is 50 - 74?

-24

Can somebody please only answer this if u know the answer im very low on points thank you!

Answers

Answer + Explanation:

Find the coordinates of each point and multiply it by 4:

J (1, 4) --> J' (4, 16)

K (6, 4) --> K' (24, 16)

L (6, 1) --> L' (24, 4)

M (1, 1) --> M' (4, 4)

please help me ASAP this is very important explain for brainlist.

Answers

Answer:

A= 320 in^2

Step-by-step explanation:

A = 1/2 (d1)(d2)

A = 1/2(20)(32)

A= 320 in^2

Please help the problems are in the picture provided below.

Answers

Answer:

Top Left= 40yd²

Top Right= 441yd²

Bottom Left= 21ft²

Bottom Right= 105ft²

Step-by-step explanation:

Top left- 10×4= 40

Top right- 21×21= 441

Bottom right- 7×3= 21

Bottom left- 15×7=105

In QRS q=9.6 inches r=9.9 inches and S=92 Find the length of a to the nearest 10th of an inch

Answers

Answer:

14

Step-by-step explanation:

delta math gave me the answer

The length of a to the nearest 10th of an inch is 13.6 inches.

What is Trigonometry?

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

In ΔQRS q=9.6 inches r=9.9 inches and S=92.

So, s² = q² + r² - 2qr cos s

s² = 9.6² + 9.9² + 2(9.6)(9.9) cos 92.

s² = 190.71 + 190.08 x (-0.035)

s² = 183.52

s = 13.55

s = 13.6 inches

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ5

Divide P. 80.00 people so that the second will have twice as much as the first and the third will have P. 5.00 less than the second. how much the first, second and third person gets​?

Answers

Answer:

first collects 17, second 34 and third 29

Step-by-step explanation:

Total amount to be shared = 80.00

If first person received x

second received y

Third received z

If the second will have twice as much as the first, then;

y = 2x

x = y/2

If the third will have P. 5.00 less than the second, then

z = y-5

y = z+5

Substitute both equation in original equation

x+y+z = 80

y/2 + y + y-5 = 80

y + 2y + 2y -10 = 160

5y = 160+10

5y = 170

y = 170/5

y = 34

x = y/2

x = 34/2

x = 17

z = y - 5

z = 34-5

z = 29

Hence the first collects 17, second 34 and third 29

please help me
Which measurements could create more than one triangle?

A. A triangle with sides measuring 5 cm and 10 cm and an included angle measuring 40°

B. A triangle with sides measuring 4 inches, 8 inches, and 15 inches

C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches

D. A triangle with angles measuring 75°, 60°, and 45°

Answers

The answer is D i think .........

Answer:

your answer is up there

Step-by-step explanation:

Sorry for not being some help i really am Red Riot out

When using the distributive property, the expression

3(2x - 1) would be simplified to

Answers

Answer:

[tex]6x - 3[/tex]

Step-by-step explanation:

consider downloading photomath

Which function is shown on the graph?

A. f(x)=1/2cos x

B. f(x)=1/2sin x

C. f(x)=-1/2cos x

D. f(x)=-1/2sin x

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the test

An urn contains 3 red and 5 orange marbles. 2 marbles are selected without replacement. Find the probability that the second marble selected is orange given that the first marble selected is orange.

Answers

Answer: [tex]\dfrac{5}{14}[/tex]

Step-by-step explanation:

Given: An urn contains 3 red and 5 orange marbles.

Total marbles = 3+5=8

Probability of getting orange marble = [tex]\dfrac{\text{Number of orange marble}}{\text{Total}}[/tex]

[tex]=\dfrac{5}{8}[/tex]

Now marbles left = 7

Orange marbles left = 4

and Probability of getting orange marble = [tex]\dfrac47[/tex]

The probability that the second marble selected is orange given that the first marble selected is orange[tex]=\dfrac58\times\dfrac47=\dfrac{5}{2}\times\dfrac17=\dfrac{5}{14}[/tex]

Required probability= [tex]\dfrac{5}{14}[/tex]

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