Acme Movers charges $105 plus $40 per hour to move household goods across town. Hank's Movers charges $55 per
Khour. For what lengths of time does it cost less to hire Hank's Movers?
It costs less to hire Hank's Movers for times less than
hours.
Incom

Answers

Answer 1

It costs less to hire Hank's Movers for times less than 7 hours.

What time would it cost less to hire Hank Movers?

The equation that can be used to represent the cost of hiring Acme movers is: $105 + $40t

The equation that can be used to represent the cost of hiring Hank's Movers : $55t

Where : t represent number of hours

The inequality sign that would be used is < less than or equal to

$55t < $105 + $40t

Combine similar terms

$55t - $40t  < $105

$15t < $105

t < 105 / 15

t < 7 hours

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Related Questions

What is a set of values in math?

Answers

Answer:

Step-by-step explanation:

Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4}

Finite And Infinite Sets: Union Of Sets

Power Set: Complement Of A Set

Equivalent Sets: Universal Set

Types Of Sets: Set Theory

Find the earnings for selling the same number of each type of sandwiches. Use x to represent the number of each type of sandwiches sold. Pretzel ham sandwich cost $2.25, pretzel turkey sandwich cost $1.55, bagel ham sandwich cost $2.00, bagel turkey sandwich cost $1.30

Answers

Total earnings for selling the same number of each type of sandwiches are $7.10x. This is a simple sum.

Here, the number of each type of sandwiches sold is x.

Pretzel ham sandwich cost $2.25. so, the earnings for selling Pretzel ham sandwich is $2.25x.

Similarly, earnings for selling pretzel turkey sandwich is $1.55x, earnings for selling bagel ham sandwich is $2.00x and earnings for selling bagel turkey sandwich is $1.30x. The total earning can be found by a simple sum of all individual earning of each type of sandwiches.

Therefore, Total earnings for selling the same number of each type of sandwiches are = $2.25x + $1.55x + $2.00x + $1.30x = $7.10x

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Help!!!!!!Angle DFG and angleJKL are complementary angles. If the measure if the angle DFG=x+2 and the measure of the angle JKL =x+9 then find x.

Answers

∠DFG and ∠JKL are complementary angles

Measure of each angle

Given :

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,

and m∠JKL = x − 1

When two angles are complementary then the sum of angles is 90 degrees

∠DFG and ∠JKL are complementary angles.

So,

Now replace the expressions and solve for x

Now replace x with 43 and find out each angle

name a fraction between 6/7 and 1

Answers

Answer:7/8, 8/9, 9/10, 10/11, etc.

Please help me simplify

Answers

Step-by-step explanation:

3×3^2 is 27 so 27+8÷2 is 31 -(4+3) the answer is 24:)

consider the line y=9x-8 find the equation that is perpendicular to this line and passes through the point -8,3

Answers

The equation of line is y=-9x-69.

To solve this problem we need to know the concept of slope of line and equation of straight line.

Writing the standard form of line is in the form of y= mx+ c where m is the slope of line.

And we also know that the product of slope of a line perpendicular to the line is equal to -1.

Let us assume that the slope of required line is m'

So, m' × 9 = -1

  ⇒ m'= -9

Now, the equation of line will be;

   [tex](y-3)=-9(x+8)[/tex]

⇒ y-3=-9x-72

y=-9x-69    is the standard equation of line perpendicular to the given line y=9x-8.

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-14= -4 + u/5
Solve for u

Answers

Answer:

u = -50

Step-by-step explanation:

First let's carry the -4 to the other side and get u/5 by itself

-14 = -4 + u/5

+4     +4

-10 = u/5

The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides

-10 = u/5

*5       *5

-50 = u

So u should equal -50.

_____
You can also check this answer by plugging it back into the original problem

-14 = -4 -50/5

-14 = -4 -10

-14 = -14

The statement is true, so -50 is our answer for sure.

Hope this helps :)

Pls answer porperlly

Answers

Answer: I hope this helps.

Step-by-step explanation:

Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12
cents per yard. If after that purchase there was $22.84 left on the card, how many yards of ribbon did Diane buy?
yards
X
5

Answers

Answer:

The number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

Step-by-step explanation:

It is given that, Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12 cents per yard.

Now, if after that purchase there was $22.84 left on the card, let's calculate how many yards of ribbon did Diane buy in total and for that we need to;

Furthermore, based on the given conditions, we will be formulating the following;

=> (25-22.84) / 12

=> 2.16/12

=> 216/100 × 1/12

=> 9/25 × 1/2

=> 9 / (25×2)

=> 9/50

=> 0.18 yards

Therefore, the number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

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Use the distributive property to remove the parentheses. -3(4v-2y-6)

Answers

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

Consider the following equation.
6x - 4y = 9
Step 1 of 2: Determine the missing coordinate in the ordered pair (-4, ?) so that it will satisfy the given equation.

Answers

The missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is -33/4.

Let the missing ccordinate of the ordered pair be m.

According to the given question.

We have an equation 6x - 4y = 9.

Here, we have given a ordered pair (-4, ?) which satisfy the given equation 6x - 4y = 9.

Therefore, the missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is given by

6x - 4y = 9

⇒ 6(-4) - 4(m) = 9

⇒ -24 - 4m = 9

⇒ -4m = 9 + 24

⇒ -4m = 33

⇒ m = -33/4

Hence, the missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is -33/4.

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how to solve inequality geometrically

Answers

Answer:

This article is about the basic inequality {\displaystyle z\leq x+y}{\displaystyle z\leq x+y}. For other inequalities associated with triangles, see List of triangle inequalities.

Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.[1][2] This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.[3] If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that

{\displaystyle z\leq x+y,}z\leq x+y,

with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths (norms):

{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,}\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,

Step-by-step explanation:

Answer:

by triangular inequality

Step-by-step explanation:

2.161616 as a fraction

Answers

Answer:

16/99

Step-by-step explanation:

i think

2161616/1000000 that is the answer


In the two functions fand g, fog and go fare both equivalent to x. Which of the following statements must be TRUE?

Answers

F Must be the inverse of g

Translate the sentence into an equation.
Four less than the product of 9 and a number equals 5.
Use the variable c for the unknown number.

Answers

Answer:

(9c) - 4=5

Step-by-step explanation:

Product means 'The answer when you multiply' So we are working in multiplication. ( x )

9c is the multiplication.

It says 'less' which means subtracting to our answer. So we subtract 4. So far our equation is: (9c) - 4 (Brackets are needed as we are multiplying 9 by c and not multiplying 9 by c - 4)

Lastly, it says the answer must be 5 so we add that at the end. So the answer is:

(9c) - 4=5

If you drive 263 miles and have 11 gallons of gas remaining in your tank. Then you continue driving, and calculate that after driving 314 miles you have 8 gallons left.

What is your rate?

Answers

The Fuel efficiency rate in miles per gallon is;  104.67 MPG

How to calculate Fuel efficiency rate?

Let the initial amount of gallons be x

Now, after driving for 263 miles, you have 11 gallons of gas left in your tank.

Now, you continue driving and after driving 314 miles, you have 8 gallons left. This means that number of gallons used to drive 314 miles = 11 - 8 = 3 gallons

Therefore the Fuel efficiency rate which is in miles per gallon is;

MPG = 314/3

MPG = 104.67 MPG

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determine whether AB and CD are parallel, perpendicular, or neither.
A(1,5), B(4,4), C(9,-10), D(-6,-5)

Answers

A thee you gooooooooooooooooooooooo

Pls help it’s due soon

Answers

It lasted 1 hour and 30 mins

Answer:

Movie duration:1.5hrs

Can you please help me solve these math problems questions 49-62

Answers

Answer:

The answer to your question is 16

I need help again please

Answers

Answer:

7/10, 12/40, 2/20, -10

is 4/5 equivalent to 16/20

Answers

Answer:

yes

Step-by-step explanation:

you have to divide by the top and bottom to get the answer to the lowest number

Answer:

yes

Step-by-step explanation:

Check by changing to a common denominator


One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 45 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer: The LARGEST angle has a measure of

Answers

Answer:

The LARGEST angle has a measure of 81°

Step-by-step explanation:

Let α be the smallest angle

     β be the second angle

     θ be the third angle.

• One (second) angle in a triangle has a measure that is three times as large as the smallest angle.

Then

β = 3α

• The measure of thethird angle is 45 degrees more than that of the smallest angle.

Then

θ = α + 45

• We know that the sum of the interior angles of a triangle add up to 180°

Then

α + β + θ = 180

Then

α + (3α) + (α + 45) = 180

Then

5α + 45 = 180

Then

5α = 135

Then

α = 27

_______________

β = 3α = 3 × 27 = 81

θ = α + 45 = 45 + 27 = 72

Conclusion :

The LARGEST angle has a measure of 81°

Determine the solutions of the equation:

the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0

x = −30 and x = 15
x = −20 and x = 15
x = −20 and x = 20
x = −15 and x = 15

Answers

The solutions of the equation are x = 15 and -20

How to determine the solutions of the equation?

The equation is given as

the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0

Rewrite properly as

|2/5x + 1| - 7 = 0

Add 7 to both sides of the equation

|2/5x + 1| = 7

Remove the absolute bracket

2/5x + 1 = 7 and 2/5x + 1 = -7

This gives

2/5x = 6 and 2/5x = -8

Multiply both sides by 5/2

x = 15 and -20

Hence, the solutions of the equation are x = 15 and -20

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Answer:

x = 15 and -20

Step-by-step explanation:

Which equation matches the graph of the greatest integer function given below?

Answers

Answer:

A

Step-by-step explanation:

The last number represents where the line meets y-axis

Divide:
35x³-25x4y³/5x²y²

Answers

Answer:

35x³-25x4y³/5x²y² = −5x6y5+35x3

Purchase a home for $160,000 , have a down payment of 25% the bank charges two points at closing, how much are they paying in points

Answers

Your customers are investing $160,000 in a house. How much points are they paying in total if they put down a 25% down payment and the bank charges two points at closing? The loan amount after their 25% down payment ($160,000 x.75 = $120,000).

A down payment is a quantity of money that a buyer pays at the beginning of a pricey good or service purchase. A portion of the entire purchase price is covered by the down payment, and the buyer frequently takes out a loan to cover the balance.

This sum is typically expressed as a percentage of the overall cost of buying the house. A typical down payment is 20%, for instance, which means the buyer will pay 20% of the total purchase price up front. During the closing procedure, this sum is typically paid in the form of a cashier's check.

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find the distance between the two points in simplest radical form. (8,-1) and (2,-9)

Answers

The correct answer is 10 :)

A married couple filing jointly has a taxable income of $75,000. How much will they pay in federal
income taxes?
O $8612
O $6672
O $9000
O $7500

Answers

The amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.

What is income tax?

Income tax is the compulsory obligation a taxpayer must remit to the IRS for each fiscal year based on the taxpayer's taxable income.

The tax rate based on the filer's tax bracket is applied to the taxable income to determine the tax payable.

Using the graduated system, of the $75,000, the first $20,550 is taxed at 10%, which gives $2,055. That leaves $54,450 in income. The next portion of the taxable income from $20,550 to $83,550 is taxed at 12%. This means $54,450 is getting taxed at 12%, which gives $6,534. The total tax due is $8,589, which averages $9,000.

Data and Calculations:

Taxable income = $75,000

Tax bracket = 12%

Tax liability = $9,000 ($75,000 x 12%)

Tax Rates for married couples filing jointly are as follows:

10% tax rate for income between $0 and $20,550

12% tax rate for income between $20,551 and $83,550

22% tax rate for income between $83,551 and $178,150

24% tax rate for income between $178,151 and $340,100

32% tax rate for income between $340,101 and $431,900

35% tax rate for income between $431,901 and $647,850

37% tax rate for income of $647,851 or more

Thus, the amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.

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A school district receives a donation of 15,000 pencils. At one of the middle school in the district, there are 4 math classes. At each of the other three middle schools in the district, there are 6 math classes each. Each math class gets the same number of pencils. How many pencils does each math class get?

Answers

Hence , the number of pencil's each math class get 1500 .

A numerical expression in arithmetic are often a mixture of numbers, and integers combined mistreatment mathematical operators like addition, subtraction, multiplication, or division.

Let the number of pencil's each math class have be "x".

It is given that one middle school have 4 math classes and  other three middle school have e 6 math classes .

Then number of pencil's 4 math classes get = 4x

The number of pencil's 6 math classes get = 6x

Total number of pencil's = 15,000

According to question

           4x + 6x = 15000

               10x =  15000

                 x =  15000/10

                 x = 1500

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Chelsea reduced the size of a triangle to a width of 4 in. What is the new height if it was originally 10 in. tall and 20 in. wide?

Answers

If you have to change both I would say it’s 4 inches wide and 2 inches tall. 20 divided by 5 is 4 and 10 divided by 5 is 2
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