A car and a motorcycle leave the city at the same time and drive to a lake that is 120 km away. The speed of the motorcycle is 20 km per hour greater than the speed of the car, so the motorcycle arrives at the lake 1 hour before the car. Find the speed of the car and the speed of the motorcycle. Plz answer fast!!

Answers

Answer 1

Answer:

40 km/h and 60 km/h

Step-by-step explanation:

Let the speed of the car is x, then the speed of motorcycle is x + 20

The distance = 120 km

Time:

120/x = 120/(x + 20) + 1120(x + 20) = 120x + x(x +20)120x + 2400 = 120x + x² + 20xx² + 20x = 2400 x² + 2*10x + 10² = 2500(x + 10)² = 50²x  + 10 = 50x = 40

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

Answer 2

Answer:

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h


Related Questions

PLZ HELP ASAP! What is the midpoint of the segment shown below?
A. (5, -4)
B. (5, -2)
C. (10, -2)
D. (10, -4)

Answers

The answer would be B) (5,-2)

HELPPP PLZ :(( I WILL MARK BRAINLIEST PLZZZ

Answers

Answer:

y = -3/2x + 2

The line starts on (0,2) and then it run 3 spaces down and 2 spaces to the right. Hope this helps, thank you !!

13 = -4x +9 solve equation.

Answers

Answer:

-1x or -x

Step-by-step explanation:

4 divided by -4

Four biased coins, A, B, C and D are thrown.
The probability that each coin will land on Heads is shown in the table.
Coin Probability a) (i) Which coin is least likely to land on Heads?
А
0.66
(1)
0.066
(ii) Which coin is most likely to land on Heads?
С
(1)
60%
b) What is the probability that D will land on Tails?
(1)
B
D
Coin B is going to be thrown 4000 times.
c) Work out an estimate for the number of times
coin B will land on Heads.
(2)
Total marks: 5

Answers

Answer:

Please check explanations for answer

Step-by-step explanation:

Firstly, we need all the probability in the same decimal form

P(A) = 0.66

P(B) = 0.067

P(C) = 2/3 = 0.67

P(D) = 60/100 = 0.6

a) The least likely is the smallest value of decimal

This is 0.067 which is for coin B

most likely is the highest probability; this is C which is 2/3

b. Probability that D will land on tail is 1 - probability that it lands on head

= 1 - 0.6 = 0.4

c. Mathematically that is the product of the probability and the number of times it was thrown

That will be;

0.066 * 4000

= 264 times

Using the slope formula, find the slope of the line through the points (0,0) and (4,16)

Answers

The slope of the line is 4/1

answer this question​

Answers

Answer:

(0,8)

Step-by-step explanation:

Q is located at point (0,8) on the graph

#3 Find angles 1, 2 22 h A) 90, 68 B) 68,90 C) 90, 90 D) 68, 68​

Answers

Answer:

a

Step-by-step explanation:

The answer to your question is A

Find x
25
7
х
I need help

Answers

Answer:

24 = x

Step-by-step explanation:

You use Pythagorean theorem. Since the normal equation is [tex]a^{2} + b^{2} =c^{2}[/tex], you already have the [tex]c^{2}[/tex] and another side which can be [tex]a^{2}[/tex] or [tex]b^{2}[/tex].

Because you have the hypotenuse and a side , your equation looks like this now: [tex]7^{2} +b^{2} = 25^{2}[/tex]

and when you solve for be you just subtract [tex]25^{2} -7^{2}[/tex] to get 24.

Jim makes $5 an hour at the surf shop. His boss gives him a one-time bonus of $50. Sarah makes $8 an hour at the clothes store. Her boss givers her a one-time bonus of $14. If they both work 15 hours, who will have a bigger paycheck?

Answers

Answer:

Sarah had the bigger paycheck of $134

Step-by-step explanation:

First we would need to find the total amount of money each one of them made in those 15 hours. We do this by multiplying their hourly rate by the hours worked and then adding the bonus

Jim:  (5*15) + 50 = x

          75 + 50 = x

              125 = x

Sarah: (8 * 15) + 14 = x

             120 + 14 = x

                  134 = x

Finally, we can say that Sarah had the bigger paycheck of $134 which is $9 more than Jim's

PLEASE HELP WHATS THE ANSWER

Answers

Answer:

2,744

Step-by-step explanation:

[tex]C = 400 \sqrt[3]{n} + 200 \\ \\ plug \: C =5800 \\ \\ 5800 = 400 \sqrt[3]{n} + 200 \\ \\ 5800 - 200 = 400 \sqrt[3]{n} \\ \\ 5600 = 400 \sqrt[3]{n} \\ \\ \frac{5600}{400} = \sqrt[3]{n} \\ \\ 14 = \sqrt[3]{n} \\ \\ {(14) }^{3} = {(\sqrt[3]{n})}^{3} \\ (cubing\: both\: sides) \\\\ 2,744 = n \\ \\ n = 2,744[/tex]

a sphere has a volume of 905cm. what is the radius of the sphere rounded to the nearest whole number ?

Answers

Answer:

r = 6

Step-by-step explanation:

The value of radius of the sphere rounded to the nearest whole number is,

⇒ r = 6 cm

We have to given that,

Volume of a sphere = 905 cm

Since, We know that,

Volume of sphere = 4/3 (πr³)

Where, 'r' is radius of sphere.

Now, Substitute the given value, we get;

⇒ 905 = 4/3 (πr³)

⇒ 905 × 3 = 4 × 3.14 × r³

⇒ 2,715 = 12.56 × r³

⇒ r³ = 216.16

⇒ r = ∛216.16

⇒ r = 6 cm

Thus, The value of radius of the sphere rounded to the nearest whole number is,

⇒ r = 6 cm

To learn more about the volume visit:

brainly.com/question/24372707

#SPJ2

At Garland School, 3/5 of the 490 students are boys.

At Bowood School, 5/7 of the 945 students are girls.


Which school has the greater number of girls and by how many?
You must show your working.

Answers

Step-by-step explanation:

the bowood school by 455 kids

What is the answer???

Answers

Reflection because if you reflected the same side it would be the exact shape hope this helps brainlist would be much appreciated:)

Angles 1 and 2 are supplementary.
• The measure of angle 1 is (2x - 3) ◦
• The measure of angle 2 is (-5x + 423) ◦


What is the measure of angle 2?

Answers

Answer:

1 = 157°

2 = 23°

Step-by-step explanation:

because the angles are supplementary, their angles will add up to 180°set up the equation (2x-3)+(-5x+423)=180combine like terms to get -3x+420=180subtract 420 from 180 to get -3x=-240divide by three and get x=80now plug in 80 for x in both equations

PLEASE HELP ME so it says Find the value of x in a triangle with the given angel measure x°,90°,16° and explain how you solve it? PLEASE HELP ME IM FAILING MATH LOL IN

Answers

90+16=106 then subtract 180 from 106 bc all the angles of a triangle equal 180 always so your answer is 74
that should be right

If angle 10 and angle 15 are congruent, which lines are parallel

Answers

Answer:

Line a is parallel with line b

Step-by-step explanation:

The answer is line A and b.

¿cuál es el valor de "a"?​

Answers

Answer:

19

Step-by-step explanation:

Answer:

El valor de a es 19

Step-by-step explanation:

Espero te sirva

Given Angle 1 = Angle 2, find X.



X =

Answers

Answer:x=6

Step-by-step explanation:

Sue is 5 years older than Ann. In 6 years, Sue’s age will be 11 years less than twice Ann’s age then. How old is each person now?

Answers

Oh gosh oh I see oooooo and her mom in

Line segment t and line segment r are parallel. Both line segments are reflected across the y–axis to form line segments t' and r'. . What is the distance, in units, between line segmentst' and r'? Select ONE correct answer.

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I would show you how to answer it.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Reflection is the flipping of a figure about an axis. Reflection is a rigid transformation, that is it preserves the shape and size of the figure.

If the distance between Line segment t and line segment r is 5 units and then both line segments are reflected across the y–axis to form line segments t' and r'. The distance between the newly formed line segments t' and r' would still be 5 units

Answer:

i think its 2 i dont know im doing the test rn

Step-by-step explanation:

sorry if its wrong

HELLPP this is due in 7 minutes

Answers

Answer:

a

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

what is 5/18 divided by 2/6

Answers

Answer:

0.02314814814 ooooorrrrr...... as a fraction..... 5/6

Step-by-step explanation:

I hope this helps!!!!!!!! PLEASE MARK ME BRANILIEST!!!!

Answer:

5/6 ( I think )

Step-by-step explanation:

Way 1. All you have to do is make the fractions into decimals, then divide, and finally change you final decimal back into a fraction!

Way 2. Change the division into multiplication ( to do that flip the second fraction)--> 5/18 x 6/2 then multiply!

If I'm wrong just use the info I gave you, and try it yourself!

I hope this helps, and have a great day!

P.S. Way 2 is easier than Way 1!

Can someone answer this question i am having an issue to how to figure it out

Answers

Answer:

explanation below

Step-by-step explanation:

f(x) = 3x + 2

f(8) : replace x with 8    f(8) = 3 * 8 + 2 = 26

g(x) = 5x

g(a+2) : replace x with a+2    g(a+2) = 5 (a+2) or 5a + 10

What is "five thousand, six" in standard form?

Answers

Answer:

5,006 :)

Step-by-step explanation:

has anyone done this
1. Use the Notes Expand Linear Expression (aka Distributive Property) pg. 237 ex. 4-6 which we covered on the Edpuzzle to complete the assignment.

Assignment pg. 241 9-14

2. Take a clear/readable picture and submit in Schoology

Posted Thu Jan 14, 2021 at 10:20 am1. Use the Notes Expand Linear Expression (aka Distributive Property) pg. 237 ex. 4-6 which we covered on the Edpuzzle to complete the assignment.

Assignment pg. 241 9-14

2. Take a clear/readable picture and submit in Schoology

Posted Thu Jan 14, 2021 at 10:20 am

Answers

Answer:

How can we make our country an ideal country?

Bill bought a $300 watch which was on sale for $280. What was the percent discount?

Answers

I am a little confused on what you meant, and I'm not sure if its correct. I think he saved $20

After Batman brought the Joker to justice, the crime rate in Arkham City decreased by 12\%12%12, percent. Previously, the crime rate was ccc incidents per 100010001000 people.
Which of the following expressions could represent the crime rate in Arkham City after Batman brought the Joker to justice?

Answers

Answer:

.88c                       22/25c

Step-by-step explanation:

yup

Answer:

.88c                   22/25c

Step-by-step explanation:

If 3 varies inversely as x and y=2 when x=25, find x when y=40

Answers

since y varies inversely as x , the equation is y=k/x....... Then you plug in 2 for y and 25 for x to find K....... After that you get K= 50...... Then plug in 50 for K and 40 for y then solve for x....... After that you get X= 1.25

Algebra edg plz help!

Answers

Answer:

12

Step-by-step explanation:

Least common multiple of the numbers 2, 3, and 4 is 12

Answer:

3

Step-by-step explanation:

For them to at least be a whole number, it’s 3

solve the inverse for k
2(k-12)-5(k+2)<-9k+4k

Answers

Answer: K< 17
_____________
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