Acme Movers charges ​$45 plus ​$40 per hour to move household goods across town.​ Hank's Movers charges ​$55 per hour. For what lengths of time does it cost less to hire​ Hank's Movers?

Answers

Answer 1

The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours

Word Problem

Given Data

Acme Movers charges ​$45Plus ​$40 per hour Hank's Movers charges ​$55 per hourLet x be the time taken

For Acme, the expression for the total charges is

Total = 45+40x ----------1

For Hank, the expression for the total charges is

Total = 55x ----------------2

Equating both expressions we have

45+40x = 55x

collect like terms

45 = 55x-40x

45 = 15x

divide both sides by 15

x = 45/15

x = 3 hours

Learn more about algebra here:

https://brainly.com/question/22399890


Related Questions

Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{−2x/3−15y=−6, 10x−6y=−4
Select the correct answer below:


elimination

substitution

Answers

Answer:

I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!

Find the area of the figure A) 14 cm B) 50 cm C) 60 cm D) 64 cm​

Answers

Answer:

The answer would be 64 cm.

Step-by-step explanation:

Step 1: Identify which shapes you will do to find the area
(I did 2 and 12 and 8 and 5)
Step 2: Do 12x2 (24)
Step 3: Do 8x5 (40)
Step 4: Add 40+24 (64)
Step 5: Label
I hope this helps!

Which of these graphs has its maximum point on the line x=3

Answers

Answer:

The last graph

Step-by-step explanation:

We are given two tips for finding our graph, it has a max point and the point of the line is x = 3. Meaning that this graph must open down and should not go anything further than 3 on the y graph.

The only one that fits this proposition is the last graph. Making it correct.

Answer:

see below

Step-by-step explanation:

To have a maximum, the parabola must be pointing down.

For the maximum to be at x=3, the vertex must have an x value at 3 and the line of symmetry must be 3

Name the characteristics a shape has to have to be defined as the following:
Quadrilateral
Triangle
Square

Answers

For a shape to be defined as a quadrilateral it has to have 4 sides.

For a shape to be defined as a triangle it has to have 3 sides, with the angles adding up to 180°

For a shape to be defined as a square it has to have 4 sides and angles. The angles must add up to 360° with equal side and angle length.

Answer:

Shapes are the outlines formed from a given area of figure. The characteristics of shapes vary and depend on what the given shape is. Here are the characteristics of a quadrilateral, triangle, and square.

1. Quadrilateral- Quadrilaterals should have four sides and four corners. As long as these two are present, you can call any shape a quadrilateral regardless of how it is formed.

2. Square- A square is a quadrilateral, so it must contain four sides and four corners. However, a square has its sides and corners equally made.

3. Triangle- A triangle should have three sides or vertices and three corners.

Step-by-step explanation:

Find α in degrees. Round to the nearest hundredth

Answers

Answer:

α = 29°

Step-by-step explanation:

Given values

Opposite side = √15Adjacent side = 7

Missing value

α

Solving :

tanα = √15/7α = tan⁻¹ (√15/7)α = 28.8107937 α = 29° (closest value)

how do i solve this?

Answers

Answer:

33

Step-by-step explanation:

to solve for each triangle remember its 1/2 base times height you have four of those so add those four sides to the area of the square.

key concept: 1/2(Base*Height)

3 Which list of integers is in order from
greatest to least?
A 24, 9, -33, -24, -11
B-11, -18, -33, 9, 24
C24, 9, -11, -24, -33
D-33, 24, -18, -11, 9. Which one is the answer

Answers

The answer is C
Hope this helps
B the answer is B . Ok

The equation shown below is true for which value of x? 5(x + 2) - 3(x - 6) = 7x

Answers

Answer:

x= 28/5 or 5.6

Step-by-step explanation:

5(x+2)−3(x−6)=7x

5(x+2)−3(x−6)=7x

Simplify both sides of the equation.

5(x+2)−3(x−6)=7x

(5)(x)+(5)(2)+(−3)(x)+(−3)(−6)=7x <--(Distribute)

5x+10+−3x+18=7x

(5x+−3x)+(10+18)=7x  <--(Combine Like Terms)

2x+28=7x

2x+28=7x

Subtract 7x from both sides.

2x+28−7x=7x−7x

−5x+28=0

Subtract 28 from both sides.

−5x+28−28=0−28

−5x=−28

Divide both sides by -5.

[tex]\frac{-5x}{-5} \frac{-28}{-5\\} \\[/tex]      

x= 28/5

Answer:

x= 28/5

or

5.6

hope this helps!

PLSSSS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST

Answers

Answer: Choice D

68 square inches

=============================================

Explanation:

Refer to the diagram below.

I'll make the yellow sheet  of paper to be 8 by 10, where the horizontal part is 8 and the vertical is 10. The overlapped region has its horizontal part as 8 as well.

The other piece of paper is 8.5 inches by 11 inches. The vertical part of the overlapped region is 8.5 inches.

The overlapped region is a 8.5 inch by 8 inch rectangle with area 8.5*8 = 68 square inches. This makes choice D the final answer.

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day. You have 100.00 to spend that day how many hours can you snowboard?

Answers

Answer:

6 Hours

Explanation:

Linear Equation: mx+b=y

x variable: Hour

Hourly Fee: $15(x)

(Initial) Rent Fee: $25

Balance: $100

Equation:

15x+25=100

15x+25-25=100-25 -- Separate the constant terms from the x by subtracting 25 from both sides.

15x=100

15x/15=100/15 -- Isolate the x variable by dividing 15 from both sides.

x=6.6.. -- Round down to 6 (not 7) because you can't afford to snowboard for 7 hours with less than $15.

x=6 Hours

answer: 6 hours

Step-by-step explanation:

I did this on a paper

the circumference of the hub cap of a tire is 79.38 cm. Find the area of this hub cap. use 3.14 for pi

Answers

Answer:

ans 19785.719

Step-by-step explanation:

formula πr^2

What is the slope of a line parallel to the line with equation 5x−2y=11?


−112

−52

−25

52

Answers

Answer: 52

Step-by-step explanation: Using the slope-intercept form, the slope is 52 . All lines that are parallel to y=5x2−112 y = 5 x 2 - 11 2 have the same slope of 52 .

how to convert 8.1 into a fraction ​

Answers

Answer:

81/10

Step-by-step explanation:

Question 20 (20 points) Find the area of the figure, round your answer to one decimal place if ne Area = Unit = A) yd B) yd2 C) yd3 6 yd 6 yd 18 yd ​

Answers

Step-by-step explanation:

a circle with r=6 so the area for the circle is π*r^2

and the area for the rectangle in the meddle is 18*12 which 12 is the height of the rectangle

and the area for that shape equals the area for the circle plus the area for the rectangle

Solve the equation below for y

3 ( y + 3 ) = 14

Answers

Answer:

y = 3/5

Step-by-step explanation:

3(y+3) = 14

3*y+3*3 = 14

3y+9 = 14

3y = 14-9

3y = 5

y = 3/5

Brainliest?

Find the value of x.

Answers

[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]

Step-by-step explanation:

or , x + 97° + 42° = 180° ( the sum of interior

angle of triangle is 180° )

or , x + 139° = 180°

or , x = 180° - 139°

x = 41°

A rectangle has a length of 15 cm and a width of 11 cm. What is its perimeter?
54 cm
52 cm
165 cm
26 cm

Answers

Answer:

52 cm

Step-by-step explanation:

perimeter = 2(length) + 2(width) for a rectangle.

2(15)+2(11)=52 cm

Answer:

52

Step-by-step explanation:

i got 100% on the quiz i got all the answers

Anthony has a square-shaped, wooden board. To build a door, he uses the board and cuts 3 feet off of its width. The new area of the wooden board is given by the expression below, where x represents the length in feet.
x(x-3)
Which statement best describes the term (x - 3)?

Answers

Anthony has a square-shaped, wooden board. To build a door, he uses the board and cuts 3 feet off of its width. The new area of the wooden board is given by the expression below, where x represents the length in feet.
x(x-3)
Which statement best describes the term (x - 3)?

What's the height of a triangle if we know the base is 20 m and the area is 100 m2? Question 1 options: 5 m 25 m 15 m 10 m

Answers

height = 10m

hope it helps...!!!

What would the answer be?

Answers

Answer:

3 2/4

Step-by-step explanation:

1 3/4 + 1 3/4 = 6 2/4

because 3/4 +3/4 = 6/4 = 1 2/4

and 1+1+1 =3

Answer:  [tex]3 \frac{1}{2}[/tex]

This is the same as writing 3 & 1/2 to mean "3 and a half".

Check out the diagram below. I've shaded the pizza slices to represent the mixed numbers being added. Notice in the bottom row I've moved one red slice over to make a full pie. Overall we have 3 full pies plus an extra half, when all is said and done.

3(1) to the power of 2

Answers

Answer:

9

Step-by-step explanation:

Raising a number to the second means multiplying that number.  3 * 3 = 9


On Monday, Jullo ran 39 miles. On Tuesday, he ran another
24 miles and on Wednesday he ran 4 miles. How many
miles did Julio run in all?

Answers

Answer:

67 miles

Step-by-step explanation:

On Monday, Jullo ran 39 miles.

⇒ Monday = 39 miles

On Tuesday, he ran 24 miles.

⇒ Tuesday = 24 miles

On Wednesday, he ran 4 miles.

⇒ Wednesday = 4 miles

Finding the total miles:

Total miles ran on Monday, Tuesday, and Wednesday = 39 + 24 + 4

                                                                                            = 67 miles

The triangle shown below has an area of 16 units^2 squared.

Find the missing length.
x = ______ units

Answers

Answer:

8 units

Step-by-step explanation:

Given:

Base = 4 unitsHeight = x unitsArea of triangle = 16 units²

Formula:

[tex]\text{Area of triangle:} \ \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

Substitute the base, height and the area of the triangle to determine the measure of the height (x).

[tex]\implies 16 \ \text{units}^{2} = \ \dfrac{1}{2} \times 4\times x[/tex]

Simplify the right hand side of the equation.

[tex]\implies 16 \ \text{units}^{2} = \ 2\times x[/tex]

Divide both sides by 2 to isolate "x".

[tex]\implies \dfrac{16 \ \text{units} }{2} = \dfrac{2\times x}{2}[/tex]

[tex]\implies 8 \ \text{units} = x[/tex]

The measure of the height (x) is 8 units.

Answer:  8

Step-by-step explanation:

whoever anwsers first will get the brainliest (only if you anwser first)!

Answers

Answer:

The answer is A. (Pls brainliest!!)

Step-by-step explanation:

Answer:

All of them

Step-by-step explanation:

To find the volume of a rectangular prism the formula is V=whl . So to find the dimensions of the box we would have to take the options that they give us and see which ones equal 80 cubic cm.

2⋅5⋅8=80, so right away we know the answer because 5⋅2=10 and 10⋅8=80

4⋅5⋅4=80, that is another possible answer because 5⋅4=20 and 20⋅4=80

10⋅4⋅2=80, yet another answer that is equivalent to 80 because 10⋅4=40 and 40⋅2= 80

So now we know that all three answers are correct and they would all work as possible dimensions  for Max’s box.

Hope this helps!!

EU ons
Question 5 of 25
The lines graphed below are parallel. The slope of the red line is - What is
the slope of the green line?
m-
O A -
B. -3
och
O D. /

Answers

Answer:

B. -3

your question isn't clear

PLEASE HELP PLEASE HELP

Answers

Answer:

I think line C and L since Jenna's numbers are the same

jenna’s belongs in C line L

What number must you add to complete the square?

x^2 - 16x = 23

A. -8

B. -64

C. 64

D. 8

Answers

Answer:

D

Step-by-step explanation:

Answer:

D. 8

Step-by-step explanation:

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.

(b/2) ² = (-8)²

Add the term to each side of the equation.

x² - 16x + (-8)² = 23 + (-8)²

Simplify the equation.

Raise -8 to the power of 2.

x² - 16x + 64 = 23 + (-8)²

Simplify 23 - (-8)²

Raise - 8 to the power of 2.

x² - 16x + 64 = 23 + 64

Add 23 and 64

x² - 16x + 64 = 87

Factor the perfect trinomial square into (x-8)²

(x-8)²=87

Solve the equation for x.

Take the square root of each side of the equation to set up the solution for x.

(x-8)²*¹/₂ = ±√87

Remove the perfect root factor x-8 under the radical to solve for x.

x - 8 = ±√87

Remove parentheses.

x - 8 = ±√87

Add 8 to both sides of the equation.

x = ±√87 + 8

The result can be shown in multiple forms.

Exact Form:

x = ±√87 + 8

Decimal Form:

x=17.32737905…,−1.32737905…

If a student does not like ballet, what is the probability that student also does not like salsa?

Answers

like salsa              hate salsa               total

like ballet                       32                         42                          74  

hate ballet                      22                           4                          26

total                                54                         46                         100

if a student does not like ballet (there is 26 that do not like ballet)..what is the probability that the student does not like salsa..of those 26 that do not like ballet, 4 do not like salsa...

4/26 = 0.1538 = 15.38% rounds to 15.4% <=

a
A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of 5
kilometers. If two towns are 30 centimeters apart on the map, what is the actual distance between the two
towns?

Answers

Answer: 150 kilometers

Step-by-step explanation:

if it's 30 units of 5 kilometers then you multiply it

5x30=150

The perimeter of a triangle is 7 m. The longest side is twice the length of the shortest side. The sum of the
lengths of the shortest side and the middle side is 1 m more than the length of the longest side. Find the
lengths of the sides.

Answers

Answer:

See below in bold.

Step-by-step explanation:

Let the length of the shortest side be x, then the longest side = 2x.

Also  x + y = 2x  + 1   where y = length of the middle side,

Simplifying:

2x - x - y = -1

x - y = -1        (A)

Also as the perimeter = 7:

x + 2x + y = 7

3x + y = 7       (B)

Adding (A) and (B):

4x + 0 = 6

x = 6/4 = 1.5

Plug x = 1.5 into equation B:

3(1.5) + y = 7

y = 7 - 4.5 = 2.5.

Answer:

So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.

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