Kara and Steven are biking around a 1,800 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?

Answers

Answer 1

This is the concept of speed, distance and time:
Time taken before the cyclist are on the same sport will be found as follows:
time=distance/(relative speed)
distance=1800 km
given that the cyclist will be riding towards the same side, then
relative speed=(Steve's speed-Kara's speed)=30-15=15 km/h
thus time taken will be:
time=1800/15
=120 hours

Related Questions

The table shows the sports interests of 75 students.

Sport

Football

Basketball

Swimming

Soccer

Cross Country

Number of Students

24

19

12

15

5

What is the probability that one student likes either swimming or soccer?

a. 0.36

c. 0.34

b. 0.27

d. 0.55

Answers

Answer:

A: 0.36

Step-by-step explanation:

Add all of the numbers up = 75

Add both swimming and soccer up = 27

divide 27 by 75 = 0.36

A quality control officer randomly checking weights of pumpkin seed bags being filled by an automatic filling machine. Each bag is advertised as weighing 400 grams. A bag must weigh within 2.1 grams in order to be accepted. What is the range of rejected bag, x, for the bags of pumpkin seeds?
A. 397.9 B. x < 397.9 and x > 402.1
C. x < 400.0 and x> 402.1
D. 400.0 > x < 402.1

Answers

from 0g to 494.7g are rejected as well as those heavier than 505.3grams.

You calculate this by subtracting and adding 5.3 to 500

Answer:

Option: B is the correct answer.

B. x < 397.9 and x > 402.1

Step-by-step explanation:

It is given that:

Each bag is advertised as weighing 400 grams.

Also, a bag must weigh within 2.1 grams in order to be accepted.

Hence, for the bag being accepted the weight must be no less than 2.1 gram from 400 gram and should be no more than 2.1 gram from 400 grams.

i.e. the weight of the bag must be such that:

400-2.1≤ x ≤ 400+2.1

i.e.

397.9 ≤ x ≤ 402.1

Hence, if the weight of the bag is less than 397.9 grams or is more than 402.1 grams then the bag will be rejected.

i.e. The range for the bag being rejected is: x<397.9 grams and x>402.1 grams.

Which is the graph of the function f(x) =1/2x^2-6

Answers

Well it is gonna be compressed inward and down 6 post the graph

Use these functions to answer the questions.
f(x)=(x+3)2−1
g(x)=−2x2+8x+3
h(t)=−16t2+28t
Part A What are the x- and y-intercepts of the graph of the function f(x)? Identify the coordinates of any maxima or minima of the function. Explain your answers. Part B Write the function g(x) in the form y=a(x−h)2+k . Write the equation for the line of symmetry for the graph of g(x). Show all your work and explain your answer. Part C The function h(t) gives the approximate height, in feet, of a dolphin's jump out of water, where t represents the time,

Answers

Part A
We have [tex]f\left(x\right)=\left(x+3\right)^2-1[/tex]. To solve for the x-intercept, we set f(x) equal to 0. That is
[tex]\left(x+3\right)^2-1=0[/tex]

[tex]\left(x+3\right)^2=1[/tex]

Take the square root of both sides,
[tex]x+3=1[/tex]

[tex]x=-2[/tex]

The x-intercept is (-2,0).

To solve for the y-intercept, we set x=0. That is
[tex]y=\left(0+3\right)^2-1=3^2-1=9-1=8[/tex]

The y-intercept is (0, 8)

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have [tex]g\left(x\right)=-2x^2+8x+3[/tex].
Factor out -2
[tex]=-2\left(x^2-4x\right)+3[/tex]

Complete the square
[tex]=-2\left(x^2-4x+4\right)+3-2\left(4\right)[/tex]

Simplify
[tex]g(x)=-2\left(x-2\right)^2-5[/tex]

Part C
We have [tex]h\left(t\right)=-16t^2+28t[/tex].
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.

At Northwest Highschool, there are 1472 students in the junior class and 1012 students in the senior class. To let the juniors work with more experienced students, the teachers want to assign the students to committees with the same same number of juniors in each committee and the same number of seniors in each committee. (For example, there might be 2 juniors and 3 seniors in every committee). What is the largest number of committees that can be formed?

Answers

the answer to your question is 23.

I’m not sure this I’m so confused in algebra

Answers

|x+4| = 3x - 5

x + 4 = 3x - 5
2x = 9
x = 9/2

-(x+4) = 3x - 5
-x -4 = 3x - 5
4x = 1
x = 1/4

answer
x = 1/4
x = 9/2

Determine the average rate of change from 0 to 4 for the function f(x)=2^x-3

Answers

If the question meant f(x)=2^(x) -3 then the answer should be 1 over 4 or 1/4

A video game was $38. This weekend the game will be marked 13 percent off. How much is the game this weekend?

Answers

Discount = 13% x $38 = 0.13 x 38 = $4.94

Cost of the game after discount = $38 - $4.94 = $33.06

Answer: $33.06

Final answer:

The video game was originally $38. This weekend it is 13% off. After applying this discount, the game will cost $33.06.

Explanation:

The subject of your question lies in the realm of Mathematics, specifically focusing on a practical application: calculating a discount. In this case, the video game was originally $38 and this weekend, there is a discount of 13%. Since the discount is a percentage off of the original price, you need to multiply $38 by 13% (or 0.13, when presented as a decimal).This operation gives us: $38 * 0.13 = $4.94.This means the discount is $4.94. To find out how much the video game costs after the discount has been applied, you need to subtract this amount from the original price of the game. Therefore, the price of the game this weekend will be: $38 - $4.94 = $33.06.

Learn more about Calculating Discounts here:

https://brainly.com/question/32761587

#SPJ12

Negative numbers do not need the negative sign (-) in front of them. True False

Answers

this is false. It may vary in what situation youre talking about but negative numbers need the negative sign

Answer: False.

Explanation: All negative number need the negative sign (-) in front of them because if there is no sign, than the negative number would turn out to be a positive number.

The equation yˆ=0.09x+55.64 models a person's height, in inches, where x is the weight of the person in pounds. According to the regression equation, what is the approximate height of a person that weighs 160 pounds?

Answers

y = 0.09*x + 55.64
y = 0.09*160 + 55.64 <<--- replace x with 160
y = 14.4 + 55.64
y = 70.04

The person who weighs 160 pounds is predicted to be about 70.04 inches tall

Note: 70.04 inches = 5 ft, 10.04 inches (so roughly 5'10")

Answer:

Height is 70.04 inches.

Step-by-step explanation:

Given that the equation

[tex]yˆ=0.09x+55.64[/tex] models a person's height, in inches, where x is the weight of the person in pounds.

We have to find out the approximate height of the person that weighs 160 pounds

Algebraically we have to find y for x = 160

Substitute for y in the given equation.

[tex]y=0.09(160)+55.64\\y=70.04"[/tex]

Put the following equation in slope intercept form. 10x - 5y = -20 Is the correct answer y = 2x + 4?

Answers

10x-5y=-20

Add five y on both sides so u get

10x=-20+5y

Add 20 on both sides

10x+ 20= 5y

Divide by five

2x+4=y

So yes, u were correct

a car is driving a cross-country traveled 180 miles in 4 hours. at this rate of speed, how many miles farther will the car travel in the next three hours?

Answers

u can do 180 divided by 3 which is 60

I think it will travel 135 more miles, I'm not sure though

triangle ABC is similar to Triangle XYZ.

AB=9.7, BC=9.6, AC=15.1

YZ=118.8, Find XZ

triangle ABC is similar to Triangle XYZ.

AB=9.7, BC=9.6, AC=15.1

YZ=118.8, Find XZ

Answers

XZ = 186.8625.

Since the triangles are similar, the ratio of their angles is the same. This means the ratio of BC to YZ will be the same as the ratio of AC to XZ; using this to set up a proportion,

9.6/118.8 = 15.1/x

Cross multiply:
9.6*x = 118.8(15.1)
9.6x = 1793.88

Divide both sides by 9.6:
9.6x/9.6 = 1793.88/9.6
x = 186.8625

The mean of 4 numbers is 22. What would the new mean be if the number 18 is added to the data set?
A. 17.2
B. 40
C. 21.2
D. 26.5

Answers

The new mean would be C: 21.2

How do you find the mean? You add the numbers up and divide by the amount in the set. So, we have to go backwards. Since we divided, we need to multiply 4 by 22. You get 88. Now add that new number of 18 to 88 to get 106. Now there are 5 numbers in the set so you divide 106 by 5 to get 21.2. So the answer is C. 21.2! Hope this helps!

A glass of water was one eighth of a liter. How many glasses would it take to fill up a 3 liter jug

Answers

Final answer:

It would take 24 glasses to fill up a 3 liter jug.

Explanation:

To fill up a 3 liter jug, we need to determine how many glasses of water, each measuring 1/8 of a liter, would be required.

First, we need to find the number of glasses in 1 liter. Since 1 liter is equivalent to 8 glasses (1/8 * 8 = 1), we can divide 3 liters by 1/8 liter to find the number of glasses for 3 liters.

3 liters is equal to 3 / (1/8) = 3 * 8/1 = 24 glasses. Therefore, it would take 24 glasses to fill up a 3 liter jug.

how to tell whether its a prime or composite number

Answers

Prime numbers have only 2 factors 1 and its number for example:
2, 3, 5, 7, 11, 13, 17, 19, 23

Like this 1*2. Or 3*1

Composite numbers have more than two factors for example :
0, 4, 6, 8, 9, 10, 12, 14 15, 16..

For example 0 has many factors
0 times 3 0times 4

Step-by-step explanation: You know that it is a prime if the only number divisible by the number is one. If there are more numbers than 1 then it is composite.

What best describes the expression y over 3?

A. 3 more than some number
B. Some number times 3
C. Some number divided by 3
D. 3 less than some number

Answers

the y represents "some number," so in this case some number divided by three is the right answer

the correct answer is, some divided by 3

What is the m∠ACB? 10° 50° 90° 180°

Answers

The total sum of angles in a triangle is 180, thus the value of ∠ACB will be obtained as follows:
Given that the triangle is a right triangle, the sum of angles will be:
(4x)°+(7x-20)°+90=180
simplifying and solving for x we get:
4x+7x-20+90=180
11x=180+20-90
11x=110
dividing both sides by 11 we get:
(11x)/11=110/11
this gives us
x=10°
Thus substituting the value of x in:
∠ACB=(7x-20)°
=(7*10-20)
=70-20
=50°

Answer: 50°

Answer:

50°

Step-by-step explanation:

90 + 4x+ 7x - 20(+20) = 180 + 20

4x + 7x = 200 - 90

4x + 7x = 110

11x/11 = 110/11

X = 10

m∠ACB = 7x - 20 = 7(10) - 20 = 50

Part a) Classify the figure

Part b) Name the vertices, edges, and bases

Answers

a) The figure is a rectangular-base pyramid (maybe square-base, but insufficient information to tell for sure).

b) Vertices: A, B, C, D, E
• Edges: AE, BE, CE, DE, AB, BC, CD, AD
• Bases: ABCD

Find an equivalent expression

Answers

(-5)^4=(-5)(-5)(-5)(-5)=(5)(5)(5)(5)=(5)^4=625

Answer: 625

The equivalent of the expression (-5)^4
would be
Answer: 625

Solution:
To convert to standard form,(-5)^4 is equal to (-5)(-5)(-5)(-5)

Since the exponent is an even number, we can conclude that it will give the answer of a positive number. so if you multiply it all,it would give your the answer 625.

which expression is equivalent to 2(-3x + 5)?

Answers

2(-3x + 5)
expand by using distributive property
= -6x + 10

answer
-6x + 10 is equivalent to 2(-3x + 5)

Answer:

10 - 6x

as 2 x 5= 10

and 2 x 3 = 6

therefore ans:

10 - 6x

Step-by-step explanation:

Are these two triangles similar? How can you tell?

Answers

Yes, they are similar.

The minimum requirement for similarity is that 2 angles in one triangle are equal to 2 angles in another triangle. If the triangles are congruent it is a pure accident.

on a protractor there are two scales read 1 scale to find 44 what is the measure on the scale

Answers

136 would be the other measurement on a protractor.

Robin tosses two number cubes 100 times and get a pair of 3s 18 times. What is the probability that she will roll a pair of 3s on her next toss?

Answers

She tossed he dice 100 time and landed on 3s 18 so it would be:
-
18/100
Then you can reduce it to:
-
9/50
Or are a percent:
-
18%
-
So the probability of her rolling 3s would be 18%

Please Help ASAP! Would be greatly appreciated.

Answers

Hi,
The answer G represents -24/8 the best because it is dividing it into eight parts.
Hope this helps you.

Hi,

The answer G represents -24/8 the best because it is dividing it into eight parts.

Hope this helps you.

Which set of numbers represents the lengths of the sides of a right triangle?

a. 5,10,15
b. 13,35,37
c. 9,40,41
d. 6,9,10

Answers

Using the Pythagorean theorem ~ a² + b² = c² ~, if this is true then the triangle is a right triangle.

a) 5² + 10² = 15²
25 + 100 = 225 *FALSE*

b) 13² + 35² = 37²
169 + 1225 = 1369 *FALSE*

c) 9² + 40² = 41²
81 + 1600 = 1681 *TRUE*

d) 6² + 9² = 10²
36 + 81 = 100 *FALSE*

The answer is C) 9, 40, 41.

C is the answer

as to fulfill the condition of right angle triangle , the sum of the squares of two sides should be equal to the square of third side

9²+40²= 1681

41² = 1681

Hope it helps !! :)

PLEASE HELP ASAP!
A probability close to _ indicates a chance event is most likely to occur.
A. 0
B. 1
C. 5
D. 10
E. 1000

Answers

The answer is E-1000

B. 1
The probability of any event cannot be greater than 1.

The radius of the earth's orbit is 45,000,000 meters. What is the number in scientific notation?

A) 4.5 x 10-7
B) 4.5 x 107
C) 45 x 10-6
D) 45 x 106

Answers

The answer is 4.5 × 10^7

I would say C because if u move the decimal to the right 7 places, you would get 45,000,000

Which answer describes the transformation of f(x)=x2−1 to g(x)=(x−1)2−1 ?

a vertical translation 1 unit up

a vertical translation 1 unit down

a horizontal translation 1 unit to the right

a horizontal translation 1 unit to the left

Answers

[tex]f(x)=a(x-h)^2+k\ \text{where (h; k) are coordinates of the vertex}[/tex]

[tex]f(x)=x^2-1\ \ \ vertex (0; -1)\\\\g(x)=(x-1)^2-1\ \ \ vertex(1;-1)[/tex]

Answer: a horizontal translation 1 unit right.

what Is 12 divided by 1/3

Answers

12/ 1/3 = 36 !!!!!!!!!!!!!

I know that you already have the answer but here’s a way for you to divide fractions.

When you divide something by a fraction, it’s easier to think of multiplying its opposite, or reciprocal.

Other Questions

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