Two cars leave towns 300 kilometers apart at the same time and travel toward each other. One car's rate is 14 kilometers per hour less than the other's. If they meet in 2 hours, what is the rate of the slower car?

Answers

Answer 1

Answer:

Say the first car speed as r

Second car speed will be r-14

Since rate times time equal distance, we have

r + (r -14)2 = 300

2r -14 = 300/2

2r = 150+14

r = 164/2 = 82

Speed of slower car 82-14 = 68 km/hr


Related Questions

will mark as bianlest plz plz hlpe asap The ____________ is the average distance of all the data values from the mean of the data. quartile interquartile range mean absolute deviation bias

Answers

Answer:

mean absolute deviation

The line represented by the equation 3x + 5y = 2 has a slope of - Which shows the graph of
y
..5
5
5
4.
4
4
3+
2
3
2
3
2
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1
..
2
5
-2-4
1 2 3 4
-3-2-4
-2-
3
-5-4-3-2-14+ 1434
-2
--3-
14
L5
م ر بنه + کا
O
O

Answers

Answer:

Step-by-step explanation:

Solve the given 3x + 5y = 2 for y.  This will automatically indicate the slope of the line.

Subtracting 3x from both sides of this equation, we get:

5y = -3x = -3x + 2.

Dividing both sides by 5 yields y = (-3/5)x + 2/5.

The slope of the given line is -3/5.  The y-intercept of this line is (0, 2/5).

Next time, please share the answer choicess.  Thank you.

A hemispherical tank is filled with water and has a diameter of 15 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?

Answers

Answer:

55135 lbs

Step-by-step explanation:

Kennedy spins the pointer of a spinner. The spinner has four equal sections labeled 1 to 4.

What is the probability the spinner will land on a number less than 5?

Answers

Answer:

1 or 4/4

It is certain that the spinner will land on a number less that 5 because the selections are labeled 1 to 4 and the numbers 1 to 4 are less than 5.

what relationship do you see when comparing the equivalent decimal and percent

Answers

Answer:

decimal 0.25 percent 25

Step-by-step explanation:

Decimal -divide by 100%

Percent -multiply by 100

Which graph represents the function below?
y=
2x if x> 3
-X+9, if x <3

Answers

Answer:

A

Step-by-step explanation

Answer:

You're only showing the first option...

What is 5 1/2 • 2 1/3

Answers

Answer:

77/6 or 12 5/6

Step-by-step explanation:

put it into improper fraction

then multiply 11/2 by 7/3

which of the following are the correct properties of slope? Check all that apply

Answers

Answer:

A, B, D

Step-by-step explanation:

Answer:

B. D. A.

all of these answers i typed down are true and correct

Here is a table of values for y = f(x).
х
0 5 10 15 20 25 30 35 40
f(x) 5 6 7
8
9
10 11
12 13
Mark the statements that are true.
O A. f(15) = 8
B. The domain for f(x) is the set (5, 6, 7, 8, 10, 11, 12, 13},
C. The range for f(x) is all real numbers.
D. f(5) = 6

Answers

Answer:

D

Step-by-step explanation:

Hello I need help on this question. :)

Answers

Answer:

C

(4)+8 = 3(4)

12=12

Step-by-step explanation:

ANSWER:
OPTION B)
X/2=8
X=8*2
X=16
HOPE IT HELPS!!!!
IF IT HELPED PLEASE MARK BRAINLIEST!!!!

Gino paid $3.23 for two tubes of toothpaste. He paid the regular price of $1.79 for one tube. However, he bough the other one for less because he used a discount coupon. How much was the coupon worth?

Answers

Answer:

Step-by-step explanation:

Cost of two tubes = $ 3.23

Regular price of one tube = $ 1.79

so, the cost of other tube = 3.23 - 1.79 = $ 1.44

Discount = 1.79 - 1.44 = $ 0.35

Identify the type of angles labeled as x and y in the figure. answers : ) Nonadjacent angles B) Complementary angles C) Linear pair D) Vertical angles

Answers

Answer: Linear pair

Step-by-step explanation:

They are a linear pair because

1) their angles add up to be 180 so complementary is out

2) they aren't vertical of each other so vertical angles is out

And 3) they aren't adjacent angles

Answer:

C

Step-by-step explanation:

Write the slope intercept form 2x-3y=9

Answers

Answer:

Hope this is correct

As the result of experimental work, a student finds the density of a liquid to be 0.1369 g/㎤. The known density of that liquid is 0.1478 g/㎤. What is the percent error of this student's work? (Round final answer to the nearest tenth if necessary​

Answers

Answer:

Percent error is [tex]7.4\%[/tex]

Step-by-step explanation:

Given:

As per the result of experimental work, density of a liquid is 0.1369 g/㎤

Known density of the liquid is 0.1478 g/㎤

To find: percent error

Solution:

The density of a substance is defined as mass per unit volume.

S.I. unit is Kilogram per cubic metre.

Error = Actual density - density as per the experiment = [tex]0.1478-0.1369=1.0109\,\,g/cm^3[/tex]

Percent error = ( error/Actual error ) × 100 = [tex]\frac{0.0109}{0.1478}\times 100=7.4\%[/tex]

Write an equation in standard form passing through the points (-2, 0) and (-3, -1). I know the answer to the question, but I do not know how to solve this question to get to the answer. I will give the title to whoever gives the most understandable explanation to the question and answer. I will be glad to answer to help you give to create an explanation. Thank you and good luck.

Answers

Answer:

[tex]y - x = 2[/tex]

Step-by-step explanation:

Given

Points (-2,0) and (-3,-1)

Required

Equation of Line

The first step is to determine the slope of the line; using the following formula

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-2,0)\ and\ (x_2,y_2) = (-3,-1)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{-1 -0}{-3 - (-2)}[/tex]

[tex]m = \frac{-1}{-3 +2}[/tex]

[tex]m = \frac{-1}{-1}[/tex]

[tex]m = 1[/tex]

The next is to determine the equation of the line using any of the points

The formula is as thus;

[tex]m = \frac{y - y_1}{x - x_1}\ or\ m = \frac{y - y_2}{x - x_2}[/tex]

Using [tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-2,0)\ and\ m =1[/tex]

[tex]1 = \frac{y-0}{x - (-2)}[/tex]

[tex]1 = \frac{y-0}{x +2}[/tex]

[tex]1 = \frac{y}{x +2}[/tex]

Multiply both sides by x + 2

[tex](x+2)*1 = \frac{y}{x +2} * (x+2)[/tex]

[tex](x+2)*1 = y[/tex]

[tex]x+2 = y[/tex]

[tex]y = x + 2[/tex]

Subtract x from both sides

[tex]y - x = x - x +2[/tex]

[tex]y - x = 2[/tex]

Hence, the equation of the line in standard form is [tex]y - x = 2[/tex]

The population of algae in an experiment has been increasing by 5% each day. If there were 5p algae at the beginning of the experiment, predict the number of algae in 7 days. Help asap

Answers

Answer:

Number of algae in 7 days = 70.355

Step-by-step explanation:

Given:

Algae in beginning = 50

Rate of increasing = 5% per day = 0.05

Number of days = 7 days

Find:

Number of algae in 7 days.

Computation:

[tex]Number\ of\ algae\ in\ 7\ days = Algae\ in\ beginning(1+Rate\ of\ increasing)^{Number\ of\ days}\\\\Number\ of\ algae\ in\ 7\ days = 50(1+0.05)^7\\\\Number\ of\ algae\ in\ 7\ days = 70.355[/tex]

Number of algae in 7 days = 70.355

Answer:

70

Step-by-step explanation:

Acellus

in the following triangle theta=60.Find the values of the angles of the angles B and B'

Answers

Answer:

  A.  B = 64.13° or B' = 115.87°

Step-by-step explanation:

The given angle is opposite the shortest of the given sides, so there are two possible solutions using the Law of Sines. Either way, we have ...

  sin(B)/16 = sin(θ)/15.4

  B = arcsin(16/15.4·sin(60°)) ≈ arcsin(0.899767)

  B = 64.13° or B' = 180° -64.13° = 115.87°

Solve the equation 25=7+r

Answers

Answer:

r = 18

Step-by-step explanation:

Subtract the seven from both sides

25 -7 = 7 - 7 + r

18 = r

Simple as that!

Hope this helps!

The solution of the given equation is 18.

The given equation is 25=7+r.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Transpose 7 to other side of the equation, we get

r=25-7

r=18

Therefore, the solution of the given equation is 18.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Given: f(x) = x² and g(x) = x + 1, find g[f(-2)].
A. -3
B. 1
C. 5

Answers

Answer: C

Step-by-step explanation:

f(x) = x² and g(x) = x + 1

This is composite function, i.e function of a function

g(f(x)) = g(x²), since f(x) = x²

f(-2) = (-2)² = 4

g(f(-2)) = g(4) = 4 + 1 = 5

What might be a problem with a truck having to park 25 feet away from the base of a building?

Answers

Answer:

It will take a lot of time and effort to bring the stuff from the truck to the building

Step-by-step explanation:

Hope that's the kind of answer you wanted

Richard can mow the lawn three times as fast as Terri. Together, they finish mowing the lawn in 20 minutes. Which of the following equations would describe how many minutes it would take Richard to mow the lawn by himself? a. 1/x+1/3x=1/20 b. 1/x+1/3=1/20 c. 20 (1/x+1/3x)=1/20 d. x+3x=1

Answers

Answer:

d it adds the two up and only mutiplys terris amount.

Please help, thank you!

Answers

Answer:

B

Step-by-step explanation:

11 13 18 19 22 25 29 32 37 37 38

find the median (25)

with 11,13,18,19,22 find the middle for that (18) Q1

with 29,32,37,37,38 find the middle for that (37)Q3

Q3-Q1

37-18=19

// ANSWER PLS //
Which of the following statements is TRUE about minor central angles?

a.) The measure of the central angle is less than 180°.

b.) The measure of the central angle is equal to 360°.

c.) The measure of the central angle is equal to 180°.

d.) The measure of the central angle is greater than 270°.

Answers

Answer

b.) The measure of the central angle is equal to 360°.

Step-by-step explanation:

The car is moving on a rough road with a constant velocity. Hence, its acceleration is zero. As per Newton 's second law of motion, no net force is acting on ...

The true statement is The measure of the central angle is less than 180°.

The correct option is (A)

What is an angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

If the central angle is less than 180 degrees then the sector is known as a minor sector.

The definition of the minor sector also says that "the central angles of a minor sector is less than 180"

Hence, The central angle of a minor sector is less than 180° is true.

Learn more about this concept here:

https://brainly.com/question/18741365

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Mary was told that a line goes through the points (1, 3) and (6, -2) and has a slope of 3. A. Explain why the information Mary was given cannot be correct. B. If the given point (1, 3) and the given slope are correct, what is the equation for the line? C. Give the coordinates of another point on the line. D. If the given points are correct on the line, what is the slope? E. Write an equation for the line.

Answers

Answer:

Below in bold.

Step-by-step explanation:

A. We can calculate the slope using (y2 - y1) / (x2 - x1)

= (3 - (-2)) / (1 - 6)

=  5/-5

= -1.

So the given slope of 3 or one of the points is NOT correct.

B. If the point (1, 3 ) and the slope are correct then the equation  for the line  (using the point-slope form) is y - 3 = 3(x - 1)  

C Another point on this line would be , when x = 0 , y = 3*-1 + 3 = 0

so it's (0, 0)

D. If the given points are correct the slope is ( as above) =  -1.

E. The equation for this line is

y - 3 = -1(x - 1)

y = -x + 1 + 3

y = 4 - x.

Simplify the polynomial-

-3f²+4f-3+8f²+7f+1


Please help!!

I don't understand how to do this or anything with Polynomials really and I really need someone to explain in the easiest way possible!!

Answers

The answer is:

5f^2+11f-2

Explanation: All you would have to do is combine the like terms. For example; -3f^2 amd 8f^2 are both like terms because they both have the same variables and powers. Ignore the variables and powers for a second. Look at the coefficients. -3 and 8 are to be added since the 8 is a positive. Once you add them, the result will be 11f^2. You need to remember to add back the variable and power. It just seems easier that way. There is also another like term in the polynomial. 4f and 7f. You add those to get 11f. The last like term in the polynomial is -3 and 1. You add -3 to 1 and you get -2.

I hope this explanation made sense to you as I tried my best to explain it! :)

I need help on this.​

Answers

Answer:

The question itself is wrong .As u know curly brackets should be inside big brackets.So in other words the first step is wrong.

The correct solving would be

Step-by-step explanation:

Mistake first appears in step no.1

We have to use the BODMAS rule

B=Bracket

O=Of

D=Division

M=multiplication

A=Addition

S=Subtraction

Hope it helps..And the right answer of that expression is 116

Please see the attached picture for the full solution

Hope it helps...

Good luck on your assignment

Mark takes out a $238,000 mortgage for 30 years. Instead of paying his monthly payment of $1,220.09, he decides to pay $1,420.09. This leads to Mark paying off the entire mortgage in 22 years and 5 months. Mark calculates the percent of the total loan he pays back in interest with and without the extra payments. What is the difference between Mark’s calculated percentages?
a) 8.1%
b) 13%
c) 37.7%
d) 45.87%

Answers

Answer:

B

Step-by-step explanation:

Twice a number plus three times a second number is negative one. The first number plus four times the second number is two.

Answers

Answer:

Step-by-step explanation:

The first number is -2 and the second number is 1

Answer:

The first number is -2 and the second number is 1.

Step-by-step explanation:

2n + 3s = -1

(n + 4s = 2)-2             Multiply by -2 to cancel the n

2n + 3s = -1

-2n - 8s = -4               Add these equations together

-5s = -5                      Divide both sides by -5

s = 1

Plug this into the first equation to find the value of n

2n + 3(1) = -1              Multiply

2n + 3 = -1

     - 3    - 3                Subtract 3 from both sides

2n = -4                       Divide both sides by 2

n = -2

If f(x) = x3 – 2x2, which expression is equivalent to f(i)?

Answers

Answer:

Please i think the question is not complete

Step-by-step explanation:

will mark bianleast
Which is the correct ordered pair for point F on the graph?


(–5, –5)

(0, –5)

(–5, 0)

(–5, 5)

Answers

Answer:

(–5, 5)

Step-by-step explanation:

Start with the x-axis (left and right).

-5 so you go to the left by 5 steps.

Next is y-axis (up and down).

Without moving your spot in -5, you move up by 5 steps.

That is point F.

Tip: (x-axis, y-axis) or (left/right, up/down)

Negative number: Left or Down

Positive number: Right or Up

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