Mathematics Middle School

75 Points!
Two cars are traveling down the highway at the same speed. If the first car increases its speed by 10 kilometers per hour, and the second car decreases its speed by 10 kilometers per hour, then the first car will travel the same distance in two hours that the second car travels in three hours. What is the original speed of the cars?

Answers

Answer 1

Answer:

50mph

Step-by-step explanation:

Say for example car A increases by 10 miles per hour and car B decreases by 10 miles per hour. If car A2 = car B3 then by eliminating a few numbers and finally get to 50 you get the following equation.

A = 50+10

b = 50-10

A = 60

B = 40

A2 = 120

B3 = 120

120 = 120

Answer 2

Answer

120km

Step-by-step explanation:

let s = the original speed

Write a distance equation; dist = time * speed

3(s-10) = 2(s+10)

3s - 30 = 2s + 20

3s - 2s = 20 + 30

s = 50 km/hr is the original speed

confirm this, find the distances

3(50-10) = 120 km

2(50+10) = 120 km

Related Questions

Robbie wants to complete the equation below.
23+34=x

Which expression should Robbie use to solve for x?

A.
4/6+56
B.
8/12+912
C.
2/4+3/4
D.
12/18+15/18

Answers

A. 4/6 + 56 as it is closest to 57 ( the value of x in the equation)

Answer:

Robbie should use 1st expression

Step-by-step explanation:

23+34=X

23+35= 4/6+56

=(5+336)/4

=56.67

=57

Find the quotient. Express your answer as a simplified fraction. 3/10 divided by 3.8

Answers

Answer:

4/5



Step-by-step explanation:

3/10÷3/8

=(3×8)/(10×3)

=24/30

Simplifying 24/30, the answer is

=4/5

The value of the quotient of ''3/10 divided by 3.8'' as a simplified fraction would be 3/38.

Given that;

The expression is,

3/10 divided by 3.8

Now it can be divided as,

3/10 divided by 3.8

3/10 ÷ 3.8

3/10 × 1/3.8

3/38

Therefore, the value of the quotient as a simplified fraction would be 3/38.

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ3

7x + 1039 = 245x
Please help!

Answers

Answer:

x = 4.37

Step-by-step explanation:

7x + 1039 = 245x=> 1039 = 238x=> x = 4.36554621849 (Using calculator)=> x = 4.37 (Estimated)

Conclusion:

Therefore, x = 4.37.

Hoped this helped

[tex]GeniusUser[/tex]

Answer:

[tex]\frac{1039}{238}[/tex]

Step-by-step explanation:

7x + 1039 = 245x

Minus the smallest x from the largest.

1039 = 245x - 7x

1039 = 238x

Divide 1039 by 238x to find the x

[tex]\frac{1039}{238}[/tex] = x

What is the volume of this rectangular prism?

Enter your answer in the box.

(Yes I Know I'm Annoying With The Questions.)

Answers

Answer: The Volume of a rectangular prism is:

Width x hight x length

Volume of Rectangular prism = W x H x L

Use a model to solve 13 x 4/9 . Leave your answer as an improper fraction.

Answers

The answer to your question is 52/9

A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as long, half as deep, and the same width as the larger pool.

How many times greater is the volume of the swimming pool than the volume of the wading pool?

Enter your answer as a number, like this: 42
HELLLLPPPP PLEASEEEE

Answers

Answer:

The number of times greater than the swimming pool to the wading pool is 1/2. the wading pool is half as long as the swimming pool. the wading pool is 15 feet long, 12 feet wide, and 2.5 feet deep.

hope this helps!

A dessert recipe calls for 2 cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?

Show Your Work

16 cups

​2 1/2 cups

20 cups

3 1/5 cups

Answers

Answer:

4 went down first it's comming up by 1/2

What is the distance between the points? Round to the nearest tenth if necessary.

Answers

Answer:

10/4

Step-by-step explanation:

rise over run

10/4 hope this helped <3

look at the attachment i have. also its asks for the principle of account A then B and also witch one made more in the first month. please hurry because its due today

Answers

Answer:

Account A

Step-by-step explanation:

It's because in 9 months for account a you the simple interest rate you earned is $4.16 but account B took you 33 months just to get $24.20? That would be too long, you would spend way to long working for 33 months just to get 24.20? It would not be worth it. This is why the answer is Account A.

Answer:

Account A is the correct answer;according to my understandings.

Please helptyank you

Answers

Answer: this is the answer

Step-by-step explanation: this then that then this

what is 35x 1 ? OMG this is such a hard question!! first one to answer will get a brainliest!!!

Answers

Answer:

35 x 1 = 35

Step-by-step explanation:

answer: 35
explanation: anything times 1 equals itself

What is the absolute value? What symbol represents absolute value?

Answers

Answer:

Absolute value is the distance the number away is from 0. In simpler terms, if you had a -8 the absolute value is 8. I attached a picture of the absolute value symbols. The absolute value of a normal positive 8 is still 8 though because it's the same distance on a number line.

The most common way to represent the absolute value of a number or expression is to surround it with the absolute value symbol: two vertical straight lines. |6| = 6 means “the absolute value of 6 is 6.” |–6| = 6 means “the absolute value of –6 is 6.” |–2 – x| means “the absolute value of the expression –2 minus x

Bruce walks 3/4 mile in 1/5 hour. What is his speed in miles per hour? (label your answer mph) * worth 25 points and brainlyiest pls no links or deleting this Ty

Answers

The answer to this question is 3.75

Select each pair of equivalent numbers. PLS HELP DUE TMR AND I DONT HOW TO SOLVE IT, PLS SHOW HOW U SET IT UP

Answers

The pairs that are equivalent to each other are 40/1000 and 40%, 6/5 and 120%, 1/8 and 12.5% . They are the correct answers because if we divide for example 6/5 , we would get 1.2 and to turn a decimal into a percent we have to move the decimal point 2 times to the right meaning that the percentage would be 120% and you just do that for all! I hope this helped :)!!

If the sales tax is 7% on all purchases, how much must you set aside for sales tax on $300? Show your work.

PLS HURRY :))

Answers

Answer:

$21

Step-by-step explanation:

300 * 0.07 (the tax percent put into decimal form) = $21

When using "mean" does it mean average of something if not please explain, I'm a bit confused.

Answers

Mean the the total of all values, divided by the number of values

Answer: mean

Step-by-step explanation:

mean : average

median : middle number

mode : most frequent number

range : the difference between the highest and lowest numbers

Identify the slope and y-intercept of the graph y = -1/3x + 6.
1. slope = 6, y-intercept = -1/3
2. slope = -1/3, y-intercept = 6

Answers

Answer:

1. slope = 6, y-intercept = -1/3.

Step-by-step explanation:

The slope is 6, the x is the y-intercept. the y-intercept is -1/3.

hope this helps.

How do you solve 42 = 7/6x
Please help me and explain so I can do this on my own.

Answers

It really isn’t that hard

Answer:

I'm just trying to help so I don't know if it's correct

42 = 7/6x

you are going to multiply by 6x on both sides then you'll get and cancel the 6x on the right side of the problem

6x × 42 = 7

then you are going to divide by 42 on both sides and cancel the 42 on the left side of the equation, so you'll get 6x = 7/42

next simplify the equation

6x = 1/6

then you will try to get X by itself by dividing by 6 on both sides of the equation

so you'll get X = 1/6 ÷ 6

then you'll flip the second number and you'll get 1/6 then multiply so X will be equal to 1/36

hope you understand

3(4 + x) = 45
What is x?

Answers

Answer:

x = 11

Step-by-step explanation:

3(4 + x) = 45

=> 12 + 3x = 45

=> 3x = 33

=> x = 11

Conclusion:

Therefore:

x = 11

Hoped this helped.

the x is 11 because 4+11 = 15 and 15x3= 45 .

Which equation has the correct sign on the product?

Answers

Answer:

A

Step-by-step explanation:

HELP I WILL GIVE BRAINLIEST

Answers

Answer:

For the diagonal of the floor:

20^2 + 48^2= c^2

400+2304= c^2

c=52

For the diagonal of the cube:

52^2 + 10^2 = c^2

2704+100=c^2

c=52.95

Rounded= 53

Tell me if this helps!!!

Answer:

53

Step-by-step explanation:

is walking at a constant speed of 2.5 miles per hour. How far can she walk in 8 ​hours? Complete the table and plot the points to solve.

Answers

Answer:

she can walk 20 miles in 8 hours if she walks st a constant speed of 2.5 miles per hour

Answer:

20 miles

Step-by-step explanation:

all you do is multiply 2.5 x 8

Write the phrase as an algebraic expression:

The quotient of 15 and w less z.

Answers

Answer:

z>15+w

Step-by-step explanation:

20 points!!!!!! just cuz but please help
Which of the following representions are functions?



I only

II only

I and II only

I, II, and III

Answers

Step-by-step explanation:

I and II only

Hope it helps you

Answer:

l only and ll only

Step-by-step explanation:

Please help me
Evaluate the expression when M=2

m²+29

Answers

Answer:

33

Step-by-step explanation:

If m=2, then you can rewrite it as 2²+29

2²=4

4+29=33

The answer is 33 because 2 to the 2nd power is 4 and 4 plus 29 is 33
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