The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:


PPLLLZZZ HEEELPP WILL MARKK BRAINLESTTT!!!! PLEASE HURRY



Car A

y = 55x + 32


Car B

y = 42x + 58

After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

2 hours, 142 miles

2 hours, 145 miles

3 hours, 142 miles

3 hours, 145 miles

Answers

Answer 1

Answer:

2 hours, 142 miles

Step-by-step explanation:

Given;

equation of motion of car A as;

y = 55x + 32

equation of motion of car B as;

y = 42x + 58

where;

y is distance measured in miles

x is time measured in hours

When the distance of the two cars are equal, we will have the following equation;

55x + 32 = 42x + 58

collect like terms and solve for x

55x - 42x = 58 - 32

13x = 26

x = 26 /13

x = 2 hours ( x is time measured in hours)

Now substitute in the value of x into any equation of the cars;

y = 55x + 32

y = 55 (2) + 32

y = 110 + 32

y = 142 miles ( y is distance measured in miles)

Thus, the correct option is 2 hours, 142 miles


Related Questions

Chang purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Chang pald.

Answers

Answer:

C=5n

Step-by-step explanation:

A linear function

Directly proportional

3/10
There is a group of tourists going to a museum. The group
consists of several adults and one child. A ticket for an adult
costs 10 dollars and one for a child costs 5 dollars. If the cost of
all tickets came to a total of $125, how many adults are there in
this group?
adults

Answers

Answer:

12 adults

Step-by-step explanation:

If a child ticket costs 5 dollars

then 125-5=120

120 divided by 10(the cost of each ticket for an adult)

12

So there are 12 adults

Answer:

12 adults

Step-by-step explanation:

125 - 5 = 120 (this is subtracting the child from the equation)

120 / 10 = 12

Sage wants to order an ice-cream sundae.
The ice-cream parlor allows customers to
choose from 10 ice-cream flavors, 4 sauces,
and 4 toppings. How many combinations of
ice-cream sundaes could Sage choose from?
Enter the correct answer.
DONE

Answers

The answer is a hundred and sixty

Find the value of x and y. WILL MARK BRAINLIEST

Answers

Answer:

x = 30

y = 15

Step-by-step explanation:

All the angles are 90°, so set 6y and 3x equal to 90, like so:

6y = 90

Divide both sides by 6:

y = 15

Solving for x:

3x = 90

Divide both sides by 3:

x = 30

Step-by-step explanation:

3) in parallelogram opposite angles are equal

6y=90

y=15

x=30

4)In parallelogram ,parallel sides are equal

x=7

y=4

determine the intercept of the line​

Answers

Answer:

X intercept is (-8,0), Y intercept is (-6,0)

Step-by-step explanation:

The intercept is where the line crosses the X and Y axis, so in this line, the line crosses the x axis at (-8,0) and the y axis at (-6,0).

Answer:

There are two different intercepts in this linear line. The x - intercept would be at (-8, 0), and the y - intercept would be at (0,-6). To find out which is the x - intercept and which is the y - intercept, remember that x is always horizontal and y is always vertical.

Step-by-step explanation:

Which statement is correct?
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less than
or equal to 0.
O The domain and range of the graph are the same.
The range of the graph is all real numbers.

Answers

Answer:

The answer is D.

Step-by-step explanation:

You cannot have the range of a number in negative numbers. The range will always be in positive numbers, and the range will never be in a fraction.

The range of the graph is all real numbers.

Each domain and range are the set of all actual numbers. however, due to the fact, absolutely the fee is described as a distance from 0, the output can only be greater than or identical to zero. The domain is all real numbers since the horizontal extent of the graph is the complete real range line.

Why are the range all real numbers?

For any actual quantity, you may continually find a price that gives you that wide variety for the output. Except a linear function is a regular, together, there's no restriction at the range. The domain and range are all real numbers.

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Find the value of y that makes the equation 2y = 12 – 5x true when x = -2.
A. 1
B. 2
C. 11
D. 22

Answers

Answer:

C 11

Step-by-step explanation:

2y = 12 – 5x

Let x = -2

2y = 12 - 5(-2)

2y = 12 +10

2y = 22

Divide by 2

2y/2 = 22/2

y = 11

Answer:

C11 is the correct answer

Step-by-step explanation:

Please help!!!


Which representations display nonlinear functions? Check all that apply.


On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (2, 1).

On a coordinate plane, a parabola opens up.

A 2-column table with 4 rows. Column 1 is labeled x with entries 20, 21, 22, 23. Column 2 is labeled y with entries negative 1, negative 1.5, negative 2, negative 2.5.

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 12, negative 11, negative 10, negative 9. Column 2 is labeled y with entries 7, 11, 14, 17.



Answers

Answer: its b and d

Step-by-step explanation: edge 2022

The answer would be options (B) and (D)

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

On a coordinate plane, a line with a negative slope goes through points (0, 1.5) and (2, 1)

So this is a linear function

On a coordinate plane, a parabola opens up.

Here this is a quadratic function, So this is a non-linear function

Hence, the answer would be options (B) and (D)

Learn more about parabola here:

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Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor
writes the equation below to help him determine x, the additional amount that he needs to
save to have enough to buy the bicycle.
89.25 + 129.85 = 2
Does Victor's equation correctly model the problem? Click the arrows to choose an answer from
each menu
An equation that correctly represents this problem can show that the sum of the
Choose.
and the
Choose...
is equal
to the
Choose
The equation Choose...
models this situation correctly. Victor's equation is
Choose
WILL MARK BRAINLIEST

Answers

Answer:

he should set up the problem so he can find the amount he has left to save. so 129.85 - 89.25 = X or the amount he needs.

he could also do 89.25 + X = 129.85

id probably use the second one

Answer:

yes i am doing this iready too lol this is right what the first person answered is correct

Step-by-step explanation:

what are two methods you can use to find the area of a square. I WILL GIVE BRAINLIEST I NEED HELP QUICKKKKK

Answers

Answer:

To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Step-by-step explanation:

Answer:

For a rectangle, you get the length and width and multiply them

For a Square, you have to find one side length and mulitply it by itself

or you can split the square with a diagonal into 2 triangles, get the area of each and add them up

or split the square in half and find the area of both rectangles and then add them together

Step-by-step explanation:

For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
(3x^2 + 8x + 7) (7x^2)

Answers

Answer:

[tex]21x^{4}+ 56x^{3}+49x^{2}[/tex]

Step-by-step explanation:

When we multiply the two sides together, we get:

(3x²·7x²) + (8x·7x²) + (7·7x²) =

[tex]21x^{4}+ 56x^{3}+49x^{2}[/tex]

This is the polynomial in standard form.

Factor x^3 - 4x^2 + 7x - 28 by grouping. What is the resulting expression

Answers

Answer:

Step-by-step explanation:

x³ - 4x² + 7x - 28 = x³ - 4x² + 7x - 7*4

                    = x²(x - 4) + 7(x - 4)

                    = (x - 4 )(x² + 7)

The expression on the left side of an equation is shown below.

3(x+1)+9=0

If the equation has no solution, which expression can be written in the box on the other side of the equation?

3[x+4)

2[x+8)+x

4(x-3) -

03(x+1)+9x

Answers

Answer:

A. 3(x + 4)

Step-by-step explanation:

All we have to do to get the expression on the other side is to expand the bracket on the left and factorise the expression.

The equation given is:

3(x + 1) + 9 = 0

Expanding the left hand side and factorising:

3x + 3 + 9

=> 3x + 12

=> 3(x + 4)

Therefore, the expression that can be written on the other side is 3(x + 4)

Answer:

C

Step-by-step explanation:

just finished it on edge and got a 100 :)

Celeste needs to create a keyword map that branches out from an image of the solar system. Which image best
shows the keywords that build to make up the solar system?
Sun
Sun
Sun
Mercury
Venus
Moon
Stars
Neptune
es
Earth
Venus
Earth
Uranus
Constellations
The Milky
Way
Mars
Saturn
Mars
Jupiter

Answers

Answer:

The Correct Answer Is C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Which point lies on the y-axis

Answers

Answer:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step explanation:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step

in the morning it takes father half an hour to dress, 15 minutes to eat breakfast, and 10 minutes to fix his lunch. if he starts at 7:00, what time will it be ready to leave to work?

Answers

Answer:

7:55

Step-by-step explanation:

30 for dressing added with 15 for eating , added with 10 to make lunch gives us 55 minutes.So 7:00 plus 55 minutes is our answer 7:55.

A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12?
1 / 100
1 /12
11 / 100
12 / 100

Answers

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.

Hope it helps!

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.

Hope it helps!

Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10

Answers

Answer:

7

Step-by-step explanation:

x^5/x^-2=x^n

x^5=x^n×x^-2

x^5=x^-2+n

5=-2=n

n=7

this is 100% correct

plzz mark me brainliest

PLZ HELP ASAP BRAINLIEST: Find the value of Y

Answers

Is Y the box in the triangle ??If so the value of y would be 90

what is the length of CD

Answers

Answer:

20 yds.

Step-by-step explanation:

From C to E 10 yds. so if you double that you get 20 yds.

Brainliest plz

PLEASE HELP MEE

Three lines meet at a point that is also the endpoint of a ray. In complete sentences, describe the relevant angle relationships in the diagram. Find the value of each variable in the diagram.

Answers

Answer:

I'm only going to find the value of each variable

Step-by-step explanation:

V,Z,W,Y=39

X=94

Sorry, I didn't know how to explain the relevant angle relationships. '-' :(

What is the answer to this?

Answers

Answer:

50 divided by 8 is 6.25 so unit rate is 6.25 per wands. The first one 4×6.25= 25 so it does not match the same price per wands, the second one 6×6.25=37.50 match up to the same price per wands, the third one 10×6.25=62.50 does not match up to the same price per wands.

whats 9 plus 10 i need a answer soon its really hard

Answers

Answer:

19

:) BRAINLIEST

first here

Answer:

the answer is 19

Step-by-step explanation:

9+10=19

hope this helps, have a good day : )

What are all the numbers congruent to #1?

Answers

Answer: All angles are congruient to 1

Step-by-step explanation:

So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.

Answer: it is 90

Step-by-step explanation: so they are all congruent

Plz help me I don’t really understand this topic

Answers

Answer:

2/7, 7/13, 5/9, 10/11

Step-by-step explanation:

I used benchmark fractions to determine the order of the fractions above. 2/7 is close to 0, so it is first. 7/13 is close to 1/2, but is less than 5/9, so it is second. 5/9 is also close to 1/2, but it is greater than 7/13, so it is third. 10/11 is close to 1, so it is last.

If this answer is correct, please make me Brainliest!

Answer:

From least to greatest, 2/7-7/13-5/9-10/11

Step-by-step explanation:

It is obvious that 2/7 is the least and 10/11 is the most, and two find out the two middle fractions you should cross multiply to see which is bigger.  

7              5

___ and ___ so now you multiply the denominators together to get 117

13             9

so the fractions will become

7*9          5*13

___ and ___   and when u multiply them together you get 63 for 7/13 and 65

117            117

for 5/9, so 5/9 is bigger

The quotient of 40 and the product of a number and -8

Answers

Answer:

-5

Step-by-step explanation:

What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?

$15,760


$13,760


$13,370


$11,760

Answers

Answer:

15,760

Step-by-step explanation:

I just added all of them...

The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

To find the sticker price we just need to add all the extras to the suggested retail price:

suggested retail price       $13,760

air conditioner                    $800

cruise control                     $235

custom sound system       $490

destination charge            $475

total sticker price = 13,760 + 800 + 235 + 490 + 475

                              = 15,760

The total sticker price would be $15,760.

The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.

Learn more about addition;

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Theresa is comparing the graphs of y=2x and y=5x. Which statement is true?


The y-intercept of y=2x is (0, 2), and y-intercept of y=5x is (0, 5).


Both graphs have a y-intercept of (0, 1), and y=2x is steeper.


Both graphs have a y-intercept of (0, 1), and y=5x is steeper.


Neither graph has a y-intercept.

Answers

Answer:

Both graphs have a y-intercept at 0,1.  The y=2^x is steeper than y=5^x

Step-by-step explanation:

If you graph these on a graphing calculator you will clearly see they have the same y-intercept (0,1) and that y=2^x is steeper.

The correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.

What is the intercept of a line ?

The point where the line or curve crosses the axis of the graph is called intercept. If a point crosses the x-axis, then it is called the x-intercept.

Theresa is comparing graphs of y = 2x and y = 5x

The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x = 0.

Let's check

which is y = 2x.

For x = 0 , y = 0

for x = 1 , y = 2

So , here y-intercept will be (0,2)

So , for both the values y - intercept exists for first function which is y = 2x.

Similarly, for y = 5x , there will be a y -intercept of (0,5).

Both graphs have a common y-intercept of (0, 1).

We know that if the slope of the graph is steeper then we can say that the tangent of the angle made by it will be more and it will make more angle with the x axis.

Here , y = 2x is more steeper than y = 5x.

Therefore , the correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.

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is my answer correct? // im not really sure so I need help.

Answers

Answer:

I believe it is lol I'm sorry if Its wrong A just seems correct to me

Step-by-step explanation:

Which of the following describes how to translate the graph of y = Ixl to obtain the graph of y = lx + 1l - 2?
shift right 1 and down 2
shift left 1 and down 2
shift right 1 and up 2​

Answers

Answer:

Shift left 1 and down 2

Step-by-step explanation:

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