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?

Answer:

D   19 feet

Step-by-step explanation:

Let x = height of flagpole

tan 65 = x/9

9tan 65 = x

x = 19.3 ≅ 19 ft. to the nearest foot

Answer:

Step-by-step explanation:

We know that the area of the circle is 40 yards, so the area of the circle would be 40 yards.

Answer:

5026.55

Step-by-step explanation:

A=πr2=π·402≈5026.54825

Answer:

I think your problem didn't copy correctly because you didn't provide a function. if you could provide it to me I would be glad to help and give you the answer.

I also do exams and quizzes if your interested

Answer:

Number of vegetarian wraps = 80

Number of chicken wraps = 37

Step-by-step explanation:

Let

Number of vegetarian wraps = x

Number of chicken wraps = y

x + y = 117 (1)

x + 1.5y = 135.50 (2)

Subtract (1) from (2) to eliminate x

1.50y - y = 135.50 - 117

0.50y = 18.50

y = 18.50/0.50

y = 37

Substitute y = 37 into (1)

x + y = 117 (1)

x + 37 = 117

x = 117 - 37

x = 80

Number of vegetarian wraps = 80

Number of chicken wraps = 37

Given:

A hiking trail rises 6 feet for every horizontal change of 100 feet.

To find:

The slope of the hiking trail.

Solution:

We have,

Rise = 6 ft

Run = 100 ft

We know that

[tex]Slope=\dfrac{Rise}{Run}[/tex]

[tex]Slope=\dfrac{6}{100}[/tex]

[tex]Slope=0.06[/tex]

Therefore, the slope of the hiking trail is 0.06.

The slope of the hiking trail is equal to 0.06.

Given the following data:

To find the slope of the hiking trail, we would use the following formula:

Slope is the ratio of the vertical distance measured to the horizontal distance measured.

Mathematically, the slope of a hiking trail is given by the formula:

[tex]Slope = \frac{Rise}{Running}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]Slope = \frac{6}{100}[/tex]

Slope = 0.06

Read more on slope here: https://brainly.com/question/3514403

Answer:

Base = 3√5

Step-by-step explanation:

Given:

Hypotenuse = 9

Perpendicular = 6

Find:

Base(x)

Computation:

Using Pythagorean theorem

Base = √Hypotenuse² - Perpendicular²

Base = √9² - 6²

Base = √81 - 36

Base = √45

Base = 3√5

Answer:

Since x=−128/3 is a vertical line, there is no y-intercept and the slope is undefined.

Step-by-step explanation:

Hope it helps :)

Answer:

40%

Step-by-step explanation:

(12/30)x100

Answer:

x² + 9x + 14 can be factored as (x+2)(x+7)

Step-by-step explanation:

The general form is ax² + bx + c. If a=1, then you can start looking for two numbers that multiplied give c and added give b.

14 = 2*7

and

9 = 2+7

hence the easy factorization

(x+2)(x+7)

Keep in mind that it only works if a=1.

Answer:

( + 2 ) (x+7 )

Step-by-step explanation:

Use the sum-product pattern   2 + 9 + 1 4 2 + 7 + 2 + 1 4 2

Common factor from the two pairs   2 + 7 + 2 + 1 4 ( + 7 ) + 2 ( + 7 ) 3

Rewrite in factored form   ( + 7 ) + 2 ( + 7 ) ( + 2 ) ( + 7 )

Answer:

y = -2x - 4

Step-by-step explanation:

We transform the line equation of L:

2x + y = 3 --(-2x)--> f(x) = y = -2x + 3

We now know that L intersects the y-axis at 3 and it has a slope of -2.

In order to construct a parallel line M, it needs to have an identical slope to L.

All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).

Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:

f(x) = y = -2x - 4 for line M.

Answer:

i need points

Step-by-step explanation:

ndm

Answer: 3.50

Step-by-step explanation:

4 ounces x 3 tenders = 12ounces so 3 dollars. then 4 ounses so 50 cents. so 3.00 + 0.50= 3.50

Answer:

I believe other question is right

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Using Pythagorean we can say = 33^2 + 56^2 = hypotenus^2

so 1089 + 3136 = 4225

and 4225 rooted = 65

Answer:

65.

You would have to use the Pythagorean theorem in order to find the Hypotenuse (Side that is missing)

Step-by-step explanation:

The equation is:

C = a^2 + b^2 - square root of the answer.

So it would be set up like this.

56^2 = 3136

33^2 = 1089

1089 + 3136 = 4225.

The square root of 4225 is 65.

Thus, 65 is the answer.

Hope this helps!

Answer:

Step-by-step explanation:

Question 1

System of equations is,

y = -6x -------(1)

y = -4x - 2 ---------(2)

Substitute the value of y from equation (1) to equation (2)

-6x = -4x - 2

-6x + 4x = -2

-2x = -2

x = 1

From equation (1)

y = -6(1)

y = -6

Question (2)

System of equations is,

-y = x --------(1)

3x + 5y = 20 ---------(2)

Substitute the value of x from equation (1) to equation (2)

3(-y) + 5y = 20

-3y + 5y = 20

2y = 20

y = 10

From equation (1)

-y = x

x = -10

Question (3)

System of the equations is,

y = -2x - 7 --------(1)

9x - 10y = 12 ----------(2)

Substitute the value of y from equation (1) to equation (2)

9x - 10(-2x - 7) = 12

9x + 20x + 70 = 12

29x = 12 - 70

29x = -58

x = -2

From equation (1)

y = -2(-2) - 7

y = 4 - 7

y = -3

First Answer:

x = 12

First Step-by-step explanation:

12 + x = -3(4 - x)

12 + x = -12 + 3x

- x - x

—————————

12 = -12 + 2x

+ 12 + 12

—————————

24 = 2x

24/2 = 2x/2

12 = x

Second Answer:

No solution

Second Step-by-step explanation:

2(x - 1/2) = 8 + 2x

2x - 1 = 8 + 2x

+1 +1

—————————

2x = 9 + 2x

- 2x - 2x

—————————

0 = 9

^^ No solution

Answer:

240

Step-by-step explanation:

the answer is 240 bc if you divide 4 from 4:3 320/4 is 80 and use the 3 from 4:3 80x3 is 240

Answer:

78.54

Step-by-step explanation:

first, you multiply 12.5 mm by 2 to find the diameter which gives you 25, then you multiply 25 by pi (3.14) and you get 78.54

Answer:

the graph is not exponential because exponential is represented as a form of exponenti growth or exponential decay. Exponential function has a slight curve rather than a straight line

Answer: answer is d

Step-by-step explanation:

i would explain but im helping 7 other people rn

Answer:

Step-by-step explanation:

Remark

The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.

If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)

So, let's go.

Givens

1/2 of ST = 1/2 32 = 16

12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.

Solution

KT^2 = 16^2 + 12^2

KT^2 = 256 + 144

KT^2 = 400

KT = sqrt(400)

KT = 20

RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.

Answer:

hope this is what u want

and u find it helpful

Answer:

y=2x+3 x-y=-2

substituting y=2x+3 x-(2x+3)=-2

-x=-2-3

-x=-5

x=-5/-1

x=5

now substituting x=5

y=2x+3

y=2(5)+3

=10+3

y=13

Answer:

4x+4y

Step-by-step explanation:

You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.

You'll get:

(2*2x)+(2*2y) = 4x + 4y

4x + 4y is an equivalent expression.

Answer:

Plot a point at the y-intercept.

Step-by-step explanation:

You start by plotting the y-intercept because you'll already have the value when you substitute x as 0 in the expression.

y = 0.5(0) -4

y = -4

Answer:

The employees will work for 1 hour, will earn $5 per hour and will be paid $5

Step-by-step explanation:

System of Equations

The number of hours the employees work is x.

And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation

10y-30x=20

The business owner states that the employees should be paid a wage given by the equation

6y+30x=60

Adding both equations we have:

16y = 80

Dividing by 16:

y = 80/16 = 5

Substituting into the first equation:

10*5-30x=20

Operating and simplifying:

50-30x=20

50 - 20 = 30x

30x = 30

x = 30/30 = 1

Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5

Step-by-step explanation:

[tex]4 + 3(5 + x)\\4 + (3 * 5 ) + (3 * x)\\4 + 15 + 3x[/tex]

Answer:

3x+19

Step-by-step explanation:

Let's simplify step-by-step.

4+3(5+x)

Distribute:

=4+(3)(5)+(3)(x)

=4+15+3x

Combine Like Terms:

=4+15+3x

=(3x)+(4+15)

=3x+19

the answer is:

-5w - 12

Answer:

(x-114.5), (x-14.05)

Step-by-step explanation:

Answer attached