6.
Two cars A and B 250 km apart are traveling towards each other on the same road. Car A travels at 55 km/h
while car B travels at 70 km/h.
(a) When will they meet on the road?
(b) Find the distance each car travels before they meet.

Answers

Answer 1

Answer:

At 2 hours they will meet on the road

Car A:  110 km;  Car B:  140 km

Step-by-step explanation:

Since the total distance is 250 km, we know that when the sum of the miles driven by each car adds to 250, they will meet.

Let x be the time, in hours.

              Miles Travelled

Car A             (55km/h)x

Car B             (70 km/h)x

(55km/h)x +  (70 km/h)x = 250

55x + 70x = 250

125x = 250

x = 2 hours  At 2 hours they will meet on the road

              Distance Travelled

Car A             (55km/h)2 =  110 km

Car B             (70 km/h)2 = 140 km


Related Questions

Is 30 squared, 10 squared, 50 squared, 30 squared, or 60squared closest to 5?

Answers

Answer:

if you are dividing by 2 then 10 is closer but if you multiplying .. 10 is still closer

PLEASE HELP!! the polynomial expression x(2x^2+15)(4x^2+5x+3 where x is in inches can be used to model the number of cubic inches of cement that will be needed for a new porch. The cement contractor used 2 for the value of x. Determine the dimensions in inches of the cement needed for the porch. Height(shortest length side) width(medium length side) and length(longest length side)

Answers

Answer:

height 2 incheswidth 23 incheslength 29 inches

Step-by-step explanation:

For x=2, the dimensions are ...

  height = x = 2 inches

  width = 2x² +15 = 2(2²) +15 = 8 +15 = 23 inches

  length = 4x² +5x +3 = (4x +5)x +3 = (4·2 +5)2 +3 = 29 inches

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + 2y = -16

Answers

Answer:

y = -1/2x - 8

Step-by-step explanation:

You are looking for the equation in the form of y=mx + b, so you need y on the left hand side without x. Subtract x from both sides.

2y = -x - 16

Now you want 1y instead of 2y. So divide everything by 2.

y = -1/2x - 8

The difference between a and 10 is less than 5

Answers

hi! the answer is: a-10<5

Find the solution to the following system using substitution or elimination:
y = -x + 10
y= 7x+ 2
O A. (1, - )
O B. (1,9)
O C. (,1)
O D. (9,65)

Answers

Answer:

B

Step-by-step explanation:

y = - x + 10 → (1)

y = 7x + 2 → (2)

Substitute y = 7x + 2 into (1)

7x + 2 = - x + 10 ( add x to both sides )

8x + 2 = 10 ( subtract 2 from both sides )

8x = 8 ( divide both sides by 8 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 7(1) + 2 = 7 + 2 = 9

solution is (1, 9 ) → B

8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.

Which property is used in the last step to find that x = 10?

Answers

Answer:

Inverse Property of Multiplication

Step-by-step explanation:

Inverse Property of Multiplication is when you do inverse operations to get rid of a multiplied number (if that makes any sense). to solve 8x = 80 you do the inverse of multiplying by 8 (divide both sides of the equal sign by 8) to get x=10.

There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles

Answers

Answer:

4:16 or 1:4

Step-by-step explanation:

1/5 of 20 = 4

there are 4 red marbles

there are 16 blue marbles

4:16 or 1:4

Answer:

1/5 to 4/5

Step-by-step explanation:

I took this quiz befrore and got a 100

someone help!
what is y?

Answers

60

random stuff because the answer has to be 20 characters long

Answer:

y= 160°

Step-by-step explanation:

as we can see, the corresponding angles are both 20°

a straight line is 180°

180-20= 160

that's you're answer

How can we use the distributive property to find an expression equivalent to 4(5−3x)? Place the steps in order.

Answers

Answer:

1-12-x-+1

Step-by-step explanation:

so you divided 2 by 4 then 1 after that 12 and boom

The equivalent expression for 4(5−3x) is ( 20 - 12x).

What is distribution property?

This states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is 4(5−3x). The expression by distribution property will be solved as,

E =  4(5−3x)

Multiply by 4 in the whole equation,

E = (  4 x 5 - 4 x 3x )

E = 20 - 12x

To know more about distribution property follow

https://brainly.com/question/28490348

#SPJ2

Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true

Answers

Answer:

a = 3

Step-by-step explanation:

Since x = 7 is a solution, substitute x = 7 into the equation and solve for a

4(7) - 2(7 + a) = 8 , that is

28 - 2(7 + a) = 8 ( subtract 28 from both sides )

- 2(7 + a) = - 20 ( divide both sides by - 2 )

7 + a = 10 ( subtract 7 from both sides )

a = 3

Find the unknown side (w) of the rectangular solid. Please help..

Answers

Answer:

Step-by-step explanation:

MAy yoy make it bigger

At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.

Answers

Answer:

250 because 250 times .4 equals 100

Step-by-step explanation:


What is the result of subtracting 4x^2 + 3xy +2y^2 from 5x^2 + 3xy + 6y^2?

Answers

x^2 + 6xy + 8y2

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

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

Combine like terms:

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)

= -x^2 + 6xy + 8y^2

Please Help Me please

Answers

Answer:

the 3 one

Step-by-step explanation:

Simplify for x: 2/3 = x-1/5

Answers

Answer:

x=13/15

Step-by-step explanation:

2/3=x-1/5

find LCD=15

10/15=x-3/15

add 3/15 to both sides

13/15=x

A plane flies at x miles per hour in still air. Flying with a tailwind, its speed is 35 miles per hour. Against the wind, its air speed is only 445 miles per hour. hat is the speed of the wind?

Answers

Answer:

Step-by-step exklamatorisks:

Tank you

QUICKKKKK DJWKCJKWFN

Answers

Step-by-step explanation:

just take from me..your most best and smarties person ever...i don't know the answer

B it’s going-1,1 each time

Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?



592 sq. ft
512 sq. ft
960 sq. ft
800 sq. ft

Answers

592 sq. ft
Hope this helps!

The standard configuration for a Colorado license plate is 3 letters followed by 3 digits. How many different license plates are possible if letters and digits can be repeated?

Answers

Answer:

17,576,000 different combinations possible.

Step-by-step explanation:

76 % of 150 calculate this

Answers

76% of 150 would be 114 I think I’m not to sure tho

The value of X is units in length.

Answers

Answer:

x=17.5 we do that 5*3.5 =17.5

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:[tex]x^{-2}[/tex]

Have attached the solution below for better understanding of the question, hope that helps:

To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried
cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of
sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail mix
with 20 oz of nuts? Show your work.

Answers

The number of servings that can be obtained from the 20 oz of nuts is given by the number of 4s and 5s in 20.

Sebastian can make more cherry trail mix

Reasons:

The given recipe are;

1 cherry trail mix = 4 oz. of nuts + 3 oz. of dried cherries.

1 sunflower trail mix = 5 oz. of nuts + 2 oz. of sunflower seeds

The number of cherry trail mix Sebastian can make with 20 oz. of nuts is therefore;

[tex]\displaystyle Number \ of \ cherry \ trail \ mix = \mathbf{ \frac{20 \ oz \ of \, nuts}{4 \ oz \, of \, nuts \, per \, cherry \ trail \, mix }} = 5 \ cherry \ trail \ mix[/tex]

The number of cherry trail mix that can be made with 20 oz. of nuts = 5 cherry trail mixes

[tex]\displaystyle Number \ of \ sunflower \ trail \ mix =\mathbf{ \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix }}[/tex]

[tex]\displaystyle \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix } = \mathbf{4 \ sunflower \ trail \ mix}[/tex]

The number of sunflower trail mix that can be made with 20 oz. of nuts = 4 sunflower trail mix

Therefore;

Sebastian can make more cherry trail mix than sunflower trail mix with 20 oz. of nuts.

Learn more about division of numbers in arithmetic here:

https://brainly.com/question/917110

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1. Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?

Answers

Answer:

68 got it right on the test!!!

Step-by-step explanation:

can someone help me for this?​

Answers

Answer:

500000N=2m

x. =6m

cross multiply, it'll be

6×50000÷2

=150,000N

A teacher asked her students to divide a large number by 50.

• Aslan divided the number by 50.
• Lucy divided the number by 5 and then divided the answer she got by 10.
• Jack divided the number by 10 and then divided the answer he got by 40.
Who among these got the correct answer assuming they did NOT make mistakes in division?

Answers

Answer:

Step-by-step explanation:

Another way to do it is to multiply by 100 and divide by 2. That's probably the simplest way to do it.

Aslan of course would get the right answer. It's direct and it does give the right answer.

Lucy also did it correctly.

Jack is the only one who will not get it right.

When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.

Answers

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

3n+21 = 33

3n = 12

n = 4

Answer:

n=4

Step-by-step explanation:

3(n+7)=33

3n + 21=33

3n=33-21

3n=12

n=12÷3

n=4

A light post 5 1/5 metres long was set 1 1/2 metres into the ground. What was the length of the post above the ground? Write your answer in its simplest form *

Answers

Answer:

3.7 meters

Step-by-step explanation:

First, convert the fractions into decimals.

5 1/5 = 5.2

1 1/2 = 1.5

Then subtract them

5.2-1.5=3.7 meters!

The children at Lincoln School go outside for recess if the temperature is 3°C or higher for what temperature will the students go outside? Write an inequality to represent this situation and then graph the solution

Answers

Answer:

it has to be 37.4 degrees or higher. An inequality would be X≥37.4

step-by-step explanation:

Fred makes $750 a week working 5 days .How much does he make in one day

Answers

Answer:

$150

Step-by-step explanation:

750/5 = 150

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