Ms. Lewis is hiring a carpenter to repair her shed. The cost of Carpenter L is shown in the table.

A table titled Carpenter L Costs is shown. It has three columns and two rows. Row one is labeled Hours, h. Row two is labeled Cost, c. One hour, one hundred eighty-seven dollars. Two hours, two hundred fifty-nine dollars. Three hours, three hundred thirty-one dollars.

Part A. What is the initial cost and hourly rate of Carpenter L?

Part B. Write an equation to represent the function shown in the table.

Part C. Carpenter N charges $60 per hour and an additional $195 for the materials needed. What is the difference in cost between Carpenter N and Carpenter L if the repair takes 6 hours?

Enter the correct answers in the boxes.

Answers

Answer 1

Answer:

A. $115; $72/hour

B. c = 72h + 115

C. $8

Step-by-step explanation:

Part A.

1 hour: $187

2 hours: $259

2 hours - 1 hour = 1 hour

$259 - $187 = $72

$72/hour

The hourly rate is $72/hour.

Since for the first hour he charges $187, and only $72 comes from the hourly rate, then the initial cost is $187 - $72 = $115.

The initial cost is $115.

Part B.

c = 72h + 115

Part C.

Carpenter L for 6 hours:

c = 72(6) + 115 = 547

$547

Carpenter N for 6 hours:

60(6) + 195 = 555

$555

Difference: $555 - $547 = $8


Related Questions

first correct answer gets brainleist pls help asap​

Answers

Answer:

21 m^2

Step-by-step explanation:

0.5 x 14 x 3

hope this helps

have a good day

Answer:

The answer is 21 m^2

cmiller did it first so giver her brainlliest if you were going to do it to me.

PLSS HELP ASAPP!! ILL GIVE BRAINLIEST!What is the point slope form of the line with slope -3/2 that passes through
the point (1, -3)?

Answers

Answer:

y= -3/2x - 3/2

Step-by-step explanation:

So you know the gradient of the line is -3/2x since that is the gradient.

So the equation so far is y=-3/2x +c

Then, substitute the co-ordinates to find c so:

-3 = -3/2 +c

-3/2 = c

The equation is y = -3/2x -3/2

the product of the square of a number and the cube of the same number is equal to 243. find the number​

Answers

Answer:

x=3

Step-by-step explanation:

X^2*x^3 → x^5

x^5 = 243 means x = 3

Answer:

The number is 3.

Step-by-step explanation:

Let "The square of the number" be x^2.

Let "the cube of the same number" be x^3.

"product" means multiplication.

x^2 • x^3 = 243

Multiply. To multiply, add the exponents.

x^5 = 243

Take the 5th root of both sides. You can do this on many scientific calculators with a x^y button. Or raise 243^ (1/5)

1/5 power is the same as 5th root.

You might do it in your head by thinking "what number to the 5th power is 243"

x = 3

Check 3^5 = 243

also

3^2 • 3^3 = 43

9 • 27 = 243

243 = 243 check

HELP ASAP THIS IS DO TOMORROW!

Answers

Answer:

The volume of the box is 250cm³

Step-by-step explanation:

V = Length * Width * Height

V = 5cm * 5cm * 10cm

V = 250cm³

Given:Height= 10 cmLength= 5 cmWidth= 5 cmTo find:

The volume of the given box (rectangular prism).

Solution:

[tex]V = whl[/tex]

[tex]V = 10 \times 5 \times 5[/tex]

[tex]\large\boxed{\sf{V = 250 \: {cm}^{3}}}[/tex]

Therefore, the volume of the given box (rectangular prism) is 250 cubic centimeters.

What is the volume?
Bernice made a rectangle wooden toolbox that has a base of 50 square cm and a height of 15 cm.

Answers

Answer:

750 cm^3

Step-by-step explanation:

VOLUME  = base * height  = 50 cm^2 x 15 cm = 750 cm^3  

Use the information in the diagram to find the length of segment AD. Round your answer to the nearest hundredth.

Two triangles, A B C and C B D, with segment C D connecting vertex C with a point D on side A C. Angle C D B is a right angle. Segment C B is 23.2, segment B D is 14.6 and segment C A is 28.6.

Group of answer choices

36.83

22.20

18.03

7.20

Answers

Based on the lengths of the given triangles and the length of segment BD, the length of segment AD is 22.20.

What is the length of segment AD?

The triangle ABC is a right angled triangle with segment AB being the hypothenuse.

We can therefore find this length using the Pythagoras Rule:

Hypothenuse ² = a² + b²

Hypothenuse ² = 28.6² + 23.2²

Hypothenuse ² = 1,356.20

Hypothenuse = √1,356.20

= 36.83

Length of AD:
= AB - BD

= 36.83 - 14.60

= 22.2

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Me dicen plis 2 multiplicaciones que den de resultado 139.
Plis
Doy coronita‼

Answers

Answer:

Claro esta:

139 x 1

Pero tambien

69.5 x 2

Y

46.3 x 3

Y muchos mas

which of the following plotted points on the graph represent the zeros of the function g(x) = (x^2 - 3x - 10)(x + 4)

Answers

Answer: The answer would be (-2,0),(-4,0), and (5,0)

Step-by-step explanation:

Guessing the answer choices are

(-2,0)

(4,0)

(0,10)

(-4,0)

(0,-2)

(0,-10)

(5,0)

what equations will give me this

Answers

Answer:

2[tex]n[/tex] = [tex]\alpha n[/tex] and [tex]n + n[/tex] = [tex]\alpha n[/tex]

Step-by-step explanation:

Help please thank you!

Answers

Answer:

Here is the answer...hope it helps

A toy is being constructed in the shape of a pyramid. the maximum amount of material to cover the sides and bottom of the pyramid is 250 square centimeters. the height of the toy is double the side length. what are the maximum dimensions to the nearest square centimeter for a square base and for a hexagonal base? shape of base side length height square cm cm regular hexagon cm cm

Answers

The side of the hexagonal pyramid will be 3.81 cm and the height of the toy will be 7.62 cm.

The length of the side of the square and the height will be

6.98 cm and 13.96 cm.

What is a Pyramid ?

Pyramid is a three dimensional Structure ,having square , rectangle , hexagonal base , the faces for a square pyramid and hexagonal pyramid are triangle meeting at one point .

It is given in the question that

A toy is being constructed in the shape of a pyramid.

the maximum amount of material to cover the sides and bottom of the pyramid is 250 square centimeters.

the height of the toy is double the side length

Let us assume the side length to be x

and therefore the height of the toy is 2x

The surface area of the toy is given = 250 sq.cm

First let us consider for a square base

The surface area of a square pyramid is given by

[tex]\rm A = a^2 + 2 a\sqrt {\dfrac{a^2}{4}+h^2}[/tex]

Here a is the side length which x for us and h = 2x

[tex]\rm 250 = x^2 + 2 x\sqrt {\dfrac{x^2}{4}+(2x)^2}\\\\ 250 = x^2 + 2 x\sqrt {\dfrac{x^2}{4}+4x^2}\\\\\\ 250 = x^2 + 2 x\sqrt {\dfrac{17 x^2}{4}}\\\\\\250 = x^2 + x^2 \sqrt{17}\\\\\\250 = 5.132 x^2\\\\\\48.71 = x^2\\\\\\x = 6.98 cm .[/tex]

Therefore the length of the side of the square and the height will be

6.98 cm and 13.96 cm.

For a hexagonal base

The total surface area is given by

[tex]A =6ah + 3 \sqrt{3}a^2\\\\\\A = 6 \times x \times 2x + 3\sqrt{3} (x)^2\\\\250= 12x^2 + 3\sqrt{3} x^2\\\\\\250 = 17.196 x^2\\\\\\14.54 = x^2\\\\x = 3.81 cm\\\\[/tex]

Therefore the side of the hexagonal pyramid will be 3.81 cm and the height of the toy will be 7.62 cm.

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pls answer!!! will mark brainliest!! 60 POINTS

Answers

The balance of the loan at 14 months= $10,561.25

It would take a total 23 months to pay off the loan.

The total amount of money paid for the car is = $9,052.5

Calculation of loan compounded monthly

The total loan for the car = $8,500

The rate at which the loan is compounded monthly is

= 6.5%

The monthly payment for the loan = $390

To calculate the balance of the loan at 14 months;

Find the simple interest

= P×T×R/100

= 8,500 × 1 × 6.5/100

= 55,250/100

= $552.5

If 12 months = 8,500 + 552.5

14 months = X

make X the subject of formula,

X = 14 × 9052.5/12

X= 126,735/12

X = $10,561.25

To calculate the period of time it will take to pay off the loan

The amount paid monthly = $390

The amount to be paid for the loan with interest = 8,500 + 552.5 = $9,052.5

If 1 month = $390

× month = $9,052.5

Make X the subject of formula,

X = $9,052.5/$390

X= 23 months

The total amount of money paid for the car is already calculated which is through the simple interest

= P×T×R/100

= 8,500 × 1 × 6.5/100

= 55,250/100

= $552.5

Total amount of money paid for the car

= 8,500 + 552.5

= $9,052.5

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Which of the following equations represents a line that is parallel to the line with equation y = 3/2*x-7/4?
(A) 6x+4y=8
(B) -6x + 4y = 11
(C) x-2y=-4
(D) 3x+2y=7​

Answers

Answer:

(B) -6x + 4y = 11

Step-by-step explanation:

Two lines are parallel if they have the same slope

In the line equation, y = mx + b, m = slope

For y = 3/2*x - 7/4, slope = 3/2

(B) can be written as

4y = 6x +11

Dividing by 4 on both sides gives y = 6/4*x + 11/4 which is 3/2*x + 11/4 so the coefficient of x (the slope) is 3/2 which is the slope of the line in the question

Using same strategies for the other lines, you will see
(A) has slope -3/2

(C) has slope 1/2

(D) has slope -3/2

50. Mrs. Lopez made decorative candles in different
sizes for sale at her church. All of the candles are in
cylindrical jars. The size of the largest candle was bigger
than the smallest candle by a scale factor of two. If the
height and radius of the smallest candle are 5 cm and
1.7 cm, respectively, calculate the volume of the biggest
candle. Use 3.14 for T. Round to the nearest hundredth.

Answers

The volume of the biggest candle given the volume of the smallest candle is  90.75cm³.

What is the volume of the largest candle?

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder =πr²h

π = 3.14r = radius

Volume of the smallest candle = 3.14 x 5 x 1.7² = 45.37 cm³

Volume of the largest candle =  45.37 cm³ x 2 = 90.75cm³

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tickets to gone with the wind, at the classic movie house, cost $4.50 for adults and $2 for children. If 45 people attended the Saturday matinee showing and the Classic movie House sold $162.50 worth of tickets: How many adults attended the showing

Answers

Taking into account the definition of a system of linear equations, the number of adults attended the Saturday matinee showing is 29 and the number of children attended the Saturday matinee showing is 16.

System of linear equations

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

Amount of adults that attended the showing

In this case, a system of linear equations must be proposed taking into account that:

"x": number of adults attended the Saturday matinee showing."y":  number of children attended the Saturday matinee showing.

The tickets to gone with the wind, at the classic movie house, cost $4.50 for adults and $2 for children.

45 people attended the Saturday matinee showing and the Classic movie House sold $162.50 worth of tickets.

So, the system of equations to be solved is

[tex]\left \{ {{x+y=45} \atop {4.50x+2y=162.5}} \right.[/tex]

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "x" from the first equation you get:

x=45 - y

Then, substituting the expression in the second equation you get:

4.50×(45 - y) +2y=162.5

Solving:

4.50×45 - 4.50y +2y=162.5

4.50×45 - 4.50y +2y=162.5

202.5 -2.5y= 162.5

-2.5y= 162.5 -202.5

-2.5y= -40

y= (-40)÷ (-2.5)

y=16

Now, replacing in the expression x=45 - y you get:

x=45 -y

x= 45-16

x= 29

Finally, the number of adults attended the Saturday matinee showing is 29 and the number of children attended the Saturday matinee showing is 16.

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Pythagorean Theorem (Radical Answers)
May 12, 8:47:08 AM
Find the length of the third side. If necessary, write in simplest radical form.
7
412
8

Answers

c=√a2+b2 I really hope this helps

Which relations are functions?
Choose all answers that are correct:

Answers

Answer:

B and C are functions.

Step-by-step explanation:

B and C are functions because they satisfy the Vertical Line Test. A and D are not functions because they do not satisfy the Vertical Line Test.

6. The ages of some children from a church were recorded. How many children were there in total?

Answers

Answer:

15

Step-by-step explanation:

Just add the number of kids disregarding their age

Answer:

The correct answer is 15.

Step-by-step explanation:

To get this answer, all we have to do is add up the data from the graph.

3 + 4 + 2 + 5 + 1 = 15

Hope this helps:) Goodluck!

The top of the table can be modeled with a cylinder, and the legs can be modeled with rectangular prisms.

Estimate the amount of paint needed to cover all parts of the table, to the nearest square inch.
A.2,375
B.3,703
C.2,707
D.4,014

Answers

The answer is B 3,703 in2

The amount of paint needed to cover all parts of the table will be 3703 square inches. Then the correct option is B.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The top of the table can be modeled with a cylinder, and the legs can be modeled with rectangular prisms.

The table is shown below.

The surface area of the cylinder will be

SA of cylinder = 2πr² + 2πrh

SA of cylinder = 2π (18² + 18 × 3)

SA of cylinder = 2375 square inches

Then the surface area of the prism will be

SA of prism = 4 [WL + 2(WH + LH)]

SA of prism = 4 [2 x 6 + 2 (2 x 20 + 6 x 20)]

SA of prism = 4 [12 + 2 x 160]

SA of prism = 4 [12 + 320]

SA of prism = 1328 square inches

Then the total surface area of the table will be

Total surface area = SA of prism + SA of cylinder

Total surface area = 1328 + 2375

Total surface area = 3703 square inches

Thus, the amount of paint needed to cover all parts of the table will be 3703 square inches.

Then the correct option is B.

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What is another name for 13?
a. (15+3)+7
b.
(4 x 3) + 3
c.
3+ (5 x 2)
d.
3 x 3 +5

Answers

The correct answer is C

What is the volume of the cylinder below? a cylinder with a height of 12 millimeters and diameter of 18 millimeters. 108 pi mm3 216 pi mm3 648 pi mm3 972 pi mm3

Answers

The volume of a cylinder with a height of 12 millimeters and diameter of 18mm is 972π mm^3

Volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h where:

r is the radius

h is the height

Given the following parameters

h = 12mm

r = 18/2 = 9mm

Substitute

V = π(9)²(12)
V = 972π mm^3

Hence the volume of a cylinder with a height of 12 millimeters and diameter of 18mm is 972π mm^3

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find the slope using the following points: (20,-10)(6,-20)

Answers

   [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

    Find the slope using the following points:

        (20, -10) (6, -20)

[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Use the slope formula:-

                    [tex]\LARGE\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]

Replace letters with numbers as follows:-

                             [tex]\Large\text{$\displaystyle\frac{-20-(-10)}{6-20}$}[/tex]

On simplification,

                                  [tex]\Large\text{$\displaystyle\frac{-20+10}{-14}$}[/tex]

On further simplification,

                                        [tex]\Large\text{$\displaystyle\frac{-10}{-14}$}[/tex]

Reducing the fraction,

                               [tex]\large\text{$\displaystyle\frac{10}{14}$}[/tex]

               [tex]\large\text{$\displaystyle\frac{5}{7}$}\leftarrow\:slope[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

The triangles are similar by the AA Similarity Postulate. Find the value of x.

Answers

The answer is option 1that is 5.3

Expand the binomial using the Binomial Theorem.
(3c − d)^3

Answers

Answer:

[tex]27c^3-27c^2d+9cd^2-d^3[/tex]

Step-by-step explanation:

Binomial Theorem

[tex](a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n[/tex]

[tex]\textsf{If }(a+b)^n=(3c-d)^3 \: \textsf{ then}:[/tex]

a = 3cb = -dn = 3

Substitute the given values into the formula:

[tex]\begin{aligned}(3c-d)^3 & =(3c)^3+\dfrac{3!}{1!(3-1)!}(3c)^{3-1}(-d)+\dfrac{3!}{2!(3-2)!}(3c)^{3-2}(-d)^2+(-d)^3\\\\& =(3c)^3+3(3c)^2(-d)+3(3c)^1(-d)^2+(-d)^3\\\\& =27c^3-27c^2d+9cd^2-d^3\end{aligned}[/tex]

The measures of the angles of a triangle are shown in the figure below solve for X

Answers

Answer:

36

Step-by-step explanation:

We know all angles in a triangle must add up to 180°

The square in the triangle that angle is equal to 90°

We can now solve for x

90 + 54 + x = 180

144 + x = 180

x = 36

That is your answer

- Kan Academy Advance

help pls pls my math needs to be good grade pls pls no summer school pls pls
Which inequalities are true when x equals -8 ?

Answers

Answer:

I think it's just water bro

Answer:

B & C

Step-by-step explanation:

Please Help I Don't Understand

Answers

Answer:

[tex] \frac{8}{5} = \frac{2}{m - 3} \\ \\ \implies \: 8(m - 3) = 2 \times 5 \\ \\ \implies \: 8m - 24 = 10 \\ \\ \implies \: 8m = 10 + 24 \\ \\ \implies \: 8m = 34 \\ \\ \implies \: m = \frac{34}{8} \\ \\ \implies \: \boxed{m = 4.25}[/tex]

therefore , second option is correct.

hope helpful ~

The Earth's diameter is 8,000 miles. A satellite
orbits 140 miles above the Earth. An astronaut
works on the satellite and sees the sun rise over
Earth. Rounded to the nearest mile, the
distance from the astronaut to the horizon is
type your answer...
miles.

Answers

Applying the Pythagorean theorem, the distance between the Earth's horizon and the satellite would be 5756.70 miles.

How to calculate the distance from the satellite to the Earth's horizon?

To calculate the distance from the satellite to the Earth's horizon, it is necessary to use the Pythagorean Theorem as follows:

We must identify the data we have:

Distance from Earth to satellite 140 miles.Earth diameter 8000 miles.

To calculate the distance from the satellite to the Earth's horizon, we must first establish the distance from the center of the Earth to the satellite, for this we calculate the radius of the Earth and add the distance to the satellite:

Radius of Earth = 8000 miles / 2Radius of Earth = 4000 miles

4,000 miles + 140 miles = 4,140 miles

With these data we can draw an imaginary triangle from the center of the Earth, one of its legs would be the distance between the center of the Earth and the satellite, the other leg would be the distance between the center of the Earth and the Earth's horizon (at 90° to the other leg).

Now, to identify the distance between the horizon and the satellite, we apply the Pythagorean Theorem:

a² + b² = c²4140² + 4000² = c²17139600 + 16000000 = c²33139600 = c²5756.70 = c

According to the above, the distance between the satellite and the horizon would be 5756.70 miles.

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a little help!!!!!!!!!!!!!!!​

Answers

Answer:

See below ~

Step-by-step explanation:

2. a. Combination (as there is no particular order in which they are selected)

3. b. 5 (As there are 5 letters present)

4. Ways in which the word can be arranged :

13! / (2! x 2! x 2! x 2!)13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 1613 x 12 x 11 x 10 x 9 x 7 x 6 x 5 x 4 x 3 a. 389,188,800

5. No. of ways :

17 x 16 x 1517 x 240c. 4080

6. P (Honda) :

No. of Hondas / Total Cars36/67b. (.5373)

On Monday, Peter ran 20 minutes and walked 20 minutes and he burnt 500 calories. On Tuesday, Peter ran 10 minutes and walked 35 minutes and he burnt, again, 500 calories.
a) Create two equations based on the situation.
b) Determine the value of the variables.
c) How many calories can peter burn with one hour of running?

Answers

Answer:

a) 20r + 20w = 500, 10r + 35w = 500

b) r = 15, w = 10

c) 900 calories

Explanation:

Let running time be r, walking time be w

a) Hence, make equation's:

20r + 20w = 500... equation 1

10r + 35w = 500... equation 2

b) Determine the value of the variables by solving simultaneously.

⇒ (500 - 20w)/20 = (500 - 35w)/10

cross multiply

⇒ 10(500 - 20w) = 20(500 - 35w)

multiply

⇒ 5000 - 200w = 10000 - 700w

shift sides

⇒ -200w + 700w = 10000 - 5000

simplify

⇒ 500w = 5000

divide both sides by 500

⇒ w = 10

Now find the value of variable r,

⇒ r = (500 - 20w)/20

insert w = 10

⇒ r = (500 - 20(10))/20

simplify

⇒ r = 15

Hence the value of r is 15 and w is 10

c) Find calories burnt after one hours of running:  [1 hours = 60 minutes]

calories = 60r = 60(15) = 900 calories

Hence, he can burn 900 calories after one hours of running.

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