Mathematics Middle School

A truck can be rented from Company A for ​$120 a day plus ​$0.50 per mile. Company B charges $30 a day plus ​$0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer 1
120 + 0.5x = 30 + 0.8x 

90 = 0.3x

x = 300
Answer 2

The charges of both companies will be same if truck is driven 300 miles per day.

It is required to find the number of miles in a day.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the truck is driven X miles per day

Charges of company A will be = $120 + $0.50x

Charges of company B will be = $30 + $0.80

Let us find out value of X when charges of both companies are same

Now the following equation should be made

$120 + $0.50x = $30 + $0.80

$120 - $30 = $0.80x - $0.50x

$90 = $0.30x

x = 300 miles.

Therefore, the charges of both companies will be same if truck is driven 300 miles per day.

Learn more about equation here:

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Related Questions

|4- 3X|=10 please help me

Answers

The answers are -2 and 3/14. when you do it the first time solve the equation normaly. the second time switch the sign of the left side. so it would be =-10 instead of positive 10.

I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT.

Answers

In a function, each x-coordinate can be used only once.
If you have two points, one above the other on the same vertical line, it is not a function.
You are correct.
The upper, right-hand graph represents a function.  Why?  Because there is never more than one value of y for any given x.

If you use the vertical line test on the other 3 problems, you'll see that for some x, the line goes thru more than just one black dot.

Sharon buys 14 folders for 0.75 each.How many change will she receive if she pays with 15

Answers

She will receive 4.95 as her change
Well first, multiply 14 by 0.75 which gives you *$10.50*.

Then subtract 10.5 from 15 which gives you 4.5.

So, she will receive *$4.50* if she pays with $15.

How do you Simplify this expression

-12 ÷ 3 x (-8 + (-8) - 6) + 2

Prepare you response to this question when you are ready you may submit your response

Requirements: include various key words you learned within this unit.
list your steps in order so that anyone can follow

Answers

Use the order of operations in order to simplify (solve) the expression

-12 ÷ 3 x (-8 + (-8) - 6) + 2      Original expression
-12 ÷ 3 x (-16- 6) + 2              Inside the parenthesis do the addition of the first negatives. -8 +-8 = -16
-12 ÷ 3 x (-22) + 2                 Inside the parenthesis subtract -16-6 = -22
-4 x (-22) + 2                       Multiplication and division is worked from left to right. -12 divided by 3 is -4
88 +2                                  Multiply -4 x -22 = 88. Two negatives make a positive with multiplication.
90                                       Addition 88 + 2 = 90
The expression must be simplified using the order of operations. In this case, the terms inside the parenthesis should be simplified first. Within the parenthesis, there is a nested parenthetical term, which is simplified before the rest of the term inside the parenthesis. The +(-8) term simplifies to -8. The terms inside the parenthesis then become (-8-8-6), which is equal to -22. Then, multiplication and division are performed next, in order as they appear. So -12/3 is equal to -4. Then, -4 is multiplied by the -22 from the parenthetical expression to equal 88. Then, addition and subtraction are the final steps in the order of operations, so the 2 is added to the 88, for a total of 90.

A 

20-minute

 TV program consists of 

two commercials, each

 

1

3

4

 minutes

 long, and three 

equal‐length

 entertainment segments. How long is each entertainment segment? Enter your answer as a mixed fraction.

Answers

2 commercials would take 2×1¾ min= 2×7/4min= 7/2min
so the entertainment segments = 20-7/2= 33/2
each would contain = 33/2÷3 = 33/2×1/3 = 11/2
= 5½

answer =5½

Find the prime number of 465 822 600 743

Answers

The prime number is 743

456 is divisible by 5

822 is divisible by 2

600 is divisible by 10

743 is only divisible by itself and 1 making it prime
465 ends in 5, so it must be divisible by  5.
822 and  600 are even, so the y are divisible by 2.
All that is left is 743, so that has to be it.

Write each fraction as a decimal. Then identify each decimal as terminating or repeating.

Answers

1/6 = 0.16
1/8 = 0.125
1/11 = 0.09
2/9 = 0.22
4/5 = 0.8
5/9 = 0.56
1/2 = 0.5
7/9 = 0.78

What is the value of 3x - 12y if x= - 2/9 And y= 4 1/6

Answers

3x-12y
x=-2/9
y=25/6
3(-2/9)-12(25/6)=-152/3=-50.666666....

47 1/3 I think. Hope I'm right

A team won 6 games and lost 8 games. What was the team's win-loss ratio?

Answers

The ratio is Win:Loss
6:8...??
The win to loss ratio is 6:8, 6/8, and 6 to 8. Or if you are looking for the answer to be simplified, it should be 3:4, 3/4, and 3 to 4. I hope this helps. :)

How to turn Standard Form ( -x + 2y = 10) to Point slope form?

Answers

Point slope form (slope intercept form)  is y = mx + b

so first move the -x over to the other side

2y = x + 10

Divide 2 to both sides

2y/2 = y
(x + 10)/2 = x/2 + 5

slope intercept form
y = x/2 + 5

hope this helps

For a party, 20 sandwiches are being made. If each sandwich is cut into thirds, how many sandwich pieces are there?

Answers

I believe there would be 60 pieces...
20 sandwiches*3pieces=60

Samuel has a coupon for 25% off the regular price of one item at the toy store. He buys a dirt bike that has a regular price of $419.99. The Kentucky tax rate is 6%, what is the price of the dirt bike after the coupon is used. Show your work!

Answers

Hi there! So, Samuel has a coupon for 25% off and the tax rate where he lives is 6%. To find the total of the bike, first thing we need to do is multiply the price of the bike by the amount still needed to be paid. You take 25% off of the price of the bike, but you still need to pay 75% of the original price. 419.99 * 75% (0.75) is 314.9925 or 314.99 when rounded to the nearest hundredth. Now to find the price with tax, multiply the sale price by (1 + r). In other words, add 1 to the tax rate in decimal form, in this case, 1.06, because 6% is 0.06. 314.99 * 1.06 is 333.8894 or 333.89 when rounded to the nearest hundredth. The new price of the dirt bike is $333.89.
Final answer:

The price of the dirt bike after the coupon is used and after applying the Kentucky sales tax is $333.89. The discount amount is $105, and the sales tax amount is $18.90.

Explanation:

To find the price of the dirt bike after the coupon is used, we first need to calculate the amount of the discount. The regular price of the dirt bike is $419.99, and the coupon gives a 25% discount. To find the discount amount, we multiply the regular price by 0.25: $419.99 x 0.25 = $105. Next, subtract the discount from the regular price: $419.99 - $105 = $314.99.

Next, we need to calculate the sales tax. The regular price after the discount is $314.99. The Kentucky tax rate is 6%, which we convert to a decimal by dividing by 100: 6 ÷ 100 = 0.06. To find the amount of sales tax, multiply the regular price after the discount by the sales tax rate: $314.99 x 0.06 = $18.90.

Finally, to find the price of the dirt bike after the coupon and sales tax, add the regular price after the discount and the sales tax: $314.99 + $18.90 = $333.89. Therefore, the price of the dirt bike after the coupon is used and after applying the Kentucky sales tax is $333.89.

5 + 4 * 2 + 6 – 2 * 2 - 1

Add two different sets of parentheses to make the number 19

I already know (5 + 4) * 2 + 6 – 2 * 2 - 1
but I need one more

THANK YOU SO MUCH

Answers

(5+4)*2+6-(2*2)-1 
Man i love myself

Using the number 691,794 make two three digit numbers that are very close to each other

Answers

The best way to start would be to see if you can make the hundred's values the same for both numbers. The only two repeating values are 9, therefore your number should start with 9. the next thing is to find the closest tens values. this is 6 and 7. so one number with be 96x and the other 97x. Next you will then find and insert either 4 or 1 into the numbers and find which difference between the two combinations is the smallest, either (964 - 971 or 961 - 974)

a store is selling sculptures. The first week, it prices 6 sculptures at 80$ each. After each week, if a sculpture is not sold, it will be priced to sell for .85 times the previous weeks price. The store needs to sell the 6 sculptures for a total of at least $270 to make a profit. What is the last week in which all 6 sculptures could be sold so that the store makes a profit?

Answers

They can stay for 3 weeks

Answer:

they can stay for 4 weeks

Step-by-step explanation:

help! 65-32/8 (/=divided by)

Answers

Final answer:

The calculation 65 - 32/8 follows the order of operations, starting with division and then subtraction. Dividing 32 by 8 gives 4, and subtracting this from 65 gives a final answer of 61.

Explanation:

To solve the equation 65 - 32/8, you need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Firstly, you handle the division. You divide 32 by 8 to get 4.

Then, you subtract the result from 65. So, 65 minus 4 equals 61.

The answer to the calculation  65-32/8 (/=divided by) is 61.

Which of the following is the most appropriate unit to describe the time you can drive a car based on the amount of gas?
A.minutes per gallon,because the independent quantity is the gallons
B.minutes per gallon,because the independent quantity is in the minutes
C.gallons per minute,because the independent quantity is the gallons
D.gallons per minute,because the independent quantity is the minutes

Answers

I believe the answer to the question is A. This is because the minutes rely on the amount of gas that you have.

Bonnie has 16 coins worth $1.50. What are the two different combinations of coins she could have?

Answers

24$ because if you multiply the two of them that is the answer you get .

A local grocery store sells oranges $1.15 per pound, tax included. A shopper buys 1.3 pounds of oranges from the store. Rounded to the nearest cent, how much does the shopper pay for the oranges?

Answers

the price for one pound is $1.15

to find the total cost you need to multiply the cost of one pound by the total weight of how much was bought

 they bought 1.3 pounds, so multiply 1.3 by 1.15 for the total cost

1.15 * 1.3 = 1.495 which rounds up to $1.50

the shopper paid $1.50

3(p+q)=p solve for p and I need the answer asap

Answers

3p + 3q = p
3q = p - 3p
3q = -2p
3q/-2 = p
p = 3q/-2.

Answer: p = 3q/-2.

What is 20/100 as a fraction

Answers

This is already a fraction??! All you can do is write as a simpler fraction, by dividing numerator and denominator by 20, then you get 1/5
20/100 is a fraction but if you wanted to simplify it it would be 1/5

simplify 6³. please help

Answers

6^3= 6x6x6=216. I hope this helps!
The answer to the question is 216

What is the rational number equivalent to 1.28 repeating A. 1 6 over 97 B.1 28 over 99 C. 1 8 over 33 D. 1 5 over 16

Answers

B is the correct answer. The 1 represents a whole number, and 28/99= .28282828 (the repeating decimal wanted)

Therefore 1.28= 1 28/99

Answer: 1 28/99


Step-by-step explanation:


Show or explain how to solve the equation for x: 7x = 3

Answers

x = 3/7
hope this helps
7x=3
Divide both sides by 7, then you have
x=3/7

9) Given an 8 foot length of tree trunk with a radius of 3 feet, what is the volume of the tree trunk section? (to the nearest whole ft3)

Answers

226 is the answer.

π×32×8 = 226 

What is the sum of the integers between √22 and √78 ?

Answers

I got 13.5 (rounded) hoped I helped you out

What is the domain of the function on the graph?

Answers

all real numbers greater than or Equal to -2

kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
A model to help you start your equation as: Kim’s age + Sister’s age = 36
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence

Answers

   A. 2x+x=36
        x=12


 B.  2(12)+12=36
      24+12=36


C. Brainliest if satisfied :D
a)
Let x = sister's age
Kim's age is twice that of her sister
so Kim's age = 2x
Kim’s age + Sister’s age = 36
equation:
x + 2x = 36

b) solve the equation x + 2x = 36

x + 2x = 36
3x = 36
  x = 36 / 3
  x = 12
  Kim's age = 2x = 2(12) = 24


answer
Sister's age is 12 and  Kim's age is 24. 

Solve for q. 16−3q=10 Enter your answer in the box.

Answers

the answer to this problem is q=2
The answer is -2.
10-16=-6, 16÷3=-2, q=-2. Hope this helped :)

I need to look for an answer for 3,547x523 please I need to know the answer please I would be really happy if you give me an answer for this problem

Answers

You can use a calculator for this: 

3547*523 = 1332081
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