Two cars are travelling from Toronto to Quebec. Car A left Toronto at 8 a.m. and is moving with an average speed of 70 km/h. Car B left Toronto at 10 a.m. and its average speed is 90 km/h. How many hours will it take for car B to catch car A?

(please show all your work Let, So, Equation and Solution and Therefore Statement)

Answers

Answer 1

Answer:

It'll take 7 hours for the car B to cath up to A

Step-by-step explanation:

In order to solve this problem we can write the equation from the distance of each car. Assuming that t = 0 happens when the second car leaves Toronto. When the second car leaves Toronto, the first one is on the road for two hours already, thefeore it travelled a total of:

distance = speed*time = 70*2 = 140

We have:

Car A:

x(t) = 70*t + 140

Car B:

x(t) = 90*t

We now need to find the value of "t" that makes x(t) the same for both cars:

90*t = 70*t + 140

20*t = 140

t = 140 / 20 = 7 h


Related Questions

if F (x) = 3[x] -1
what is f(2.4)?​

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

it should be 6.2

Step-by-step explanation:

What is the approximate probability that next years temperature ( year 16) will be in the 90s?

Answers

Answer:

20%

Step-by-step explanation:

Answer:

0.53

Step-by-step explanation:

1) Tanya is buying edging for a triangular flower garden she plans to build in her backyard. If the lengths of the three pieces of edging that she purchases are 13 feet, 10 feet, and 7 feet, will the flower garden be in the shape of a right triangle ?

Answers

Answer:

• In a right triangle, the two sides adjacent to the

right angle are known as the _________, or

______ and ______.

• The side opposite from the right angle

is called the ___________________, or ______.

• The hypotenuse is always the _______________ side of a right triangle.

Step-by-step explanation:

Answer:

The Flower Garden is not in the shape of a right Δ

Step-by-step explanation:

~ To prove that this garden is in the shape of a right triangle, it can be done so through contradiction ~

Pythagorean Theorem is applied to a right triangle, so we can say that the two legs are 10 and 7 feet, the hypotenuse being 13, knowing it is the longest side;

a^2 + b^2 = c^2,

10^2 + 7^2 = 13^2,

100 + 49 = 169,

149 ≠ 169,

So the Flower Garden will not be in the shape of a right Δ

cx is an altitude in triangle ABC.
Which statements are true? Select two options.
Ο ΔΑΒΟΣ ΔΒΧΟ
B
Ο ΔΑΧΟ - ΔΟΧΒ
X
Ο ΔBCΧΑ ΔΑCX
A
Ο ΔΑΟΒ - ΔΑΧΟ
C
Ο ΔΟΧΑ - ΔΟΒΑ

Answers

ΔAXC ~ ΔCXB

ΔACB ~ ΔAXC

John has 72 tiles. Write a factor pair for the number 72.

Answers

Answer:

2×6²

I think it is right one.

2.78 km
Before the eruption of a volcano, the volcano was 2.78 kilometers high. After
the eruption, the volcano was 2.28 kilometers high. Use the bar diagram to
find the difference in height of the volcano before and after the eruption, in
meters.
2.28 km
?
Click the icon to see the metric units of length.
The difference in height of the volcano before and after the eruption is
(Type a whole number or a decimal.)
meters.​

Answers

Answer:

The difference in height is 0.5

Step-by-step explanation:

To find the difference just subtract 2.28 from 2.78

0.5

The length of a rectangle is six times the width. The perimeter of the rectangle is 28 inches. What is the area of the rectangle (in square inches)?

Answers

Answer:

i think its 150

Step-by-step explanation:

Answer: 43

Step-by-step explanation:

the graph of logistic population growth is shaped like what letter

Answers

Answer:

the letter S

Step-by-step explanation:

Answer:

The answer is letter S

Step-by-step explanation:

Stephen and Alice are reading the same book for a book club. Stephen reads
278 pages in 7 weeks. Alice reads 31 pages each week. About how many more
pages does Stephen read each week than Alice?
20
70
o
10​

Answers

Answer:

10

Step-by-step explanation:

Stephen 278 pages in 7 weeks. Divide 278 by 7 to get 39.71 pages per week.  39.71 rounds up to 40, and 40 is about 10 more than 31.

There are more 9 pages does Stephen read each week than Alice.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Stephen reads 278 pages in 7 weeks.

And, Alice reads 31 pages each week.

Here, Stephen reads 278 pages in 7 weeks.

Hence, Number of pages read in 1 week = 278 / 7

                                                               = 40

And, Alice reads 31 pages each week.

Thus, Number of more pages Stephen read each week than Alice is,

⇒ 40 - 31

⇒ 9

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ5

PLS ANSWER QUICK WITH FULL WORK

Answers

Answer:

∠ A = 31.3°, ∠ C = 58.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{13}{25}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{13}{25}[/tex] ) ≈ 31.3° ( to the nearest tenth )

The sum of the 3 angles in a triangle = 180° , thus

∠ C = 180° - (90 + 31.3)° = 180° - 121.3° = 58.7°

measure HLO equals.......

Answers

Answer:

90 <------ ANSWER

Please help!
F(x)= 3x^2 +12x+5

Answers

the answer is 84

hope this helps :)

(if you wouldn’t mind could you mark me brainliest?)

Which expression is equivalent ?

Answers

Answer:

Step-by-step explanation:

the given expression is equivalent to (-9/4) / [-2/3]  =  (-9/4)*(3/2) = 27/8

Big Y has rice on sale for $1.99 per bag. You bought one bag of rice and 6 cans of black beans. Your total cost was $7.33. How much did one can of beans cost?

Answers

Answer:

$0.89

Step-by-step explanation:

so one bag is 1.99

her total cost was 7.33

you bought 6 cans of BB

so you do 7.33 minus 1.99

5.34 divided by 6

Answer:

total: 7.33

you bought one bag of rice: 1.99

7.33 - 1.99= 5.34

since u want to know the cost of ONE can of beans

5.34 divided by 6

which is 0.89

Step-by-step explanation:

That means one can of beans cost 0.89

HOPE IT HELPS :)))))

Write this trinomial in factored form.
3y2 - y - 2

Answers

Answer:

5y-2

Step-by-step explanation:

Answer:

(3y+2)(y-1)

Step-by-step explanation:

Need help on this problem can someone help me.

Answers

Answer:

sq root of 53

Step-by-step explanation:

Working alone, Elisa can sweep a porch in 11 minutes. Pranav can sweep the same porch in 13 minutes. Find out how long it would take them if they worked together.

A) 5.96 minutes
B) 5.21 minutes
C) 5.86 minutes
D) 4.87 minutes

Answers

Answer:

Answer is A

Step-by-step explanation:

Elisa, e = 11mins

Prenav, p = 13mins

time to finish, t

1 = t( 1/11 + 1/13) = t (24/143)

Your answer is A 5.96 minutes

This is making my brain be wild, please help!

Answers

Answer: further from, mean

Is -9x^2+12x-17 written in standard form ?

Answers

Answer:

Yes it should be in standard form.

Step-by-step explanation:

Lei pre sold 32 carnations for a fundraiser, then she sold c more carnations on the day of the fundraiser. She earned 0.25 dollars for each carnation she sold. The expression 8+ 0.25c describes how much money Lei earned for the fundraiser. We can also use the expression 0.25(32+c) to represent the same quantity. Help me Create another Expression please.
Answer I WILL GIVE BRAINLIEST!

Answers

Answer: [tex]0.5 * (16 + 0.5c)[/tex]

Step-by-step explanation:

Creating identical expressions involves changing quantities in a way that preserves the end values specified in the equation.

For instance, if Lei sold 4 carnations:

[tex]8 + 0.25 (4) = 9\\\\0.25 * (32 + 4) = 9[/tex]

In the second equation listed, the expression (8 + 0.25c) was multiplied by 4, then by 0.25, for a total multiplicand of 1.

You can make a third equation through the same method. I'll multiply (8 + 0.25c) by 2, and then multiply that expression by 0.5 to keep the multiplicand unchanged:

[tex]0.5 * (16 + 0.5c)[/tex]

If Lei sold 4 carnations:

0.5 * (16 + 2) = 9

This equation represents the same quantities as the other equations.

Answer:

Here is the correct way to do it

Step-by-step explanation:

The pink highlighted one i already did

Answers

Answer:

i have da graph down below happy to help ya :)

Step-by-step explanation:

Solve for x:
a(5-x) = bx - 8
x = ?

Answers

Answer: The answer is I believe x would equal X=5a+8/a+b. Hope this helps

if yes please make me as a brainyst thank you!

Step-by-step explanation:

PLEASE HELPPPP!!!
The graph of f(x) is shown below.



If g(x) = 5x - 5, which statement is true?

A.

The y-intercept of f(x) is greater than the y-intercept of g(x).


B.

The x-intercept of f(x) is greater than the x-intercept of g(x).


C.

The x-intercept of f(x) is equal to the x-intercept of g(x).


D.

The y-intercept of f(x) is less than the y-intercept of g(x).

Answers

Answer:

Step-by-step explanation:

A

Answer:

C

Step-by-step explanation:

C

9( 10a +
12c) + 11(6a + 50 + 11)​

Answers

Answer:

156a + 108c + 671

Step-by-step explanation:

Answer:

108c+156a+671

Step-by-step explanation:

9( 10a + 12c) + 11(6a + 50 + 11)​

pemdas

90a+108c+66a+550+121

90a+66a=156a

550+121=671

108c+156a+671

State the value of the discriminant of 5x2 + 9x = 3.
please answer quick!

Answers

Answer:

141

Step-by-step explanation:

convert to standard form then use D= B squared -4ac

what is 4^2+8x-11x+6-5x^2+2​

Answers

I'll teach you how to solve 4^2+8x-11x+6-5x^2+2​

--------------------------------------------------------------

4^2+8x-11x+6-5x^2+2​

Add similar elements:

8x - 11x= -3x

4^2-3x+6-5x^2+2

Group like terms:

-5x^2-3x+4^2+6+2

Add the numbers:

6+2= 8

-5x^2-3x+4^2+8

4^2= 16

-5x^2-3x+16+8

Add the numbers:

16+8= 24

-5x^2-3x+24

Your Answer Is -5x^2-3x+24

plz mark me as brainliest if this helped :)

Which equation represents the line that passes through the point (8,1) and (10,5)?

Answers

the equation that best represents the line would be y=2x-15

Please Need Help. Thank You :)


Please find the Volume of these cylinders:

Answers

Answer:

the one for the finding the height is 3.3, the one with 7 as the height is 351.86, and the one with 3 as the height is 150.8

Step-by-step explanation:

h=V

πr2=41.5

π·22≈3.30247

V=πr2h=π·42·7≈351.85838

V=πr2h=π·42·3≈150.79645

PLS SOLVE RIGHT NOW WILL GIVE BRAINIEST 5 STARS AND THANKS
3 1/8 ÷(x−4 7/28 )= 17/18 +1 5/6

Answers

Answer:

5 3/8

Step-by-step explanation:

3 1/8 ÷(x−4 7/28 )= 17/18 +1 5/6

Get a common denominator for the right side

3 1/8 ÷(x−4 7/28 )= 17/18 +1 15/18

Combine like terms

3 1/8 ÷(x−4 7/28 )= 1 32/18

3 1/8 ÷(x−4 7/28 )= 2 14/18

3 1/8 ÷(x−4 7/28 )= 2 7/9

We have a ÷ b = c

Rewriting as a ÷c = b

3 1/8 ÷ 2 7/9 = (x−4 7/28 )

Changing from mixed numbers to improper fractions

25/8 ÷ 25 /9 = (x−4 7/28 )

Copy dot flip

25/8 * 9/25 = (x−4 7/28 )

9/8 = (x−4 7/28 )

Add 4 7/28 to each side

9/8  + 4 7/28 = (x−4 7/28 )+ 4 7/28

Simplifying the fractions

9/8 + 4 1/4 = x

Getting a common denominator

9/8 + 4 2/8 =x

4 11/8 =x

4 + 8/8+3/8 =x

5 3/8

What is the GCF of the
following polynomial?
10x2 + 45x - 25​

Answers

Answer:

5

Step-by-step explanation:

Find the prime factors of each term in orer to find the GCF

Answer:

Step-by-step explanation:

5(2x^2 + 9x - 5)

5(2x - 1)(x + 5)

Other Questions
lnze says u can rewrite 1 m as m < 1. do u agree explain what is the difference between transverse wave and longitudinal wave? The "locomotor" system includes which two systems? To avoid punishment for serious crimes, House members will sometimes _____.plead guilty to chargesperform community servicepay a fine to the Houseresign from office A contractor bought 8.2 ftsquared of sheet metal. She has used 3.5 ftsquared so far and has $141 worth of sheet metal remaining. The equation 8.2xminus3.5xequals141 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot? in which number is the value of 5 ten times the value of the 5 in 10.059 All levels of government work to do which of the following? A. provide financial assistance B. create and enforce the law C. provide the public school system D. create a tax system PLEASE HELP!! thank you Please help me with it I beg you What is the difference between the predator-prey relationship and theparasite-host relationship What were the other hate groups besides the Ku Klux Klan in the reconstruction? There is much controversy surrounding the use of animal in scientific research.What are your thoughts regarding this topic? -4-2/3x= -6 by adding 4 to both sides I will mark the brainlest answer PLEASE HELP FOR BRAINLIEST!!!Read the following writing prompt.Courage is defined as the ability to do something that frightens you or a show of strength in the face of great pain or grief. Think about someone from history who fits this definition. Who do you think is truly courageous and why? Write a two-page paper (600 words) to explain why this person is considered courageous.Based on the prompt, which question would be an appropriate research question to ask?A. Where was Abraham Lincoln born, and where did he grow up?B. Why did Neil Armstrong risk his life to be the first astronaut to land on the moon?C. Who is the best Marvel superhero and why?D. Which US president accomplished the most, and what were those accomplishments?E. What is the accomplishment that I am most proud of? Megan is considering getting qualified to become a personal trainer. The career Megan is considering falls under the Personal Care Services pathway of the Human Services cluster.Question 1 options:TrueOrFalse What is the volume of the oblique? Round to the nearest tenth. Answers are: 142.4 cubic units 142.4 square units 196.0 cubic units 196.0 square units I am having trouble with this question The First Amendment guarantees the right of what kind of speech?hateslanderoussymbolicdangerous could someone answer this!?