Adrian and Brian are brothers. They leave the house on their bicycles and head to school that is a distance of 4 km away. Adrian cycles 1 km/hour faster than Brian and arrives to school 1 minute earlier. Algebraically determine the speeds of each brother

Answers

Answer 1

Answer:

Brian's rate is 15 km/hr

Adrian's rate is 16 km/hr

Step-by-step explanation:

Let r = Brian's rate

   r + 1 = Adrian's rate

4/r = Brian's time

4/(r + 1) = Adrian's time

The difference in times is 1 min = 1/60 hr

[tex]\frac{4}{r} - \frac{4}{r + 1} = \frac{1}{60}[/tex]     LCD = 60r(r + 1)

4(60)(r + 1) - 4(60)r = r(r + 1)

240r + 240 - 240r = [tex]r^{2}[/tex] + r

[tex]r^{2}[/tex] + r - 240 = 0

(r - 15)(r + 16) = 0

r = 15    or   r = -16

Since the rate cannot be negative, Brian's rate is 15 km/hr and Adrian's rate is 16 km/hr


Related Questions

What are you finding when you solve for volume?


An object


To find two objects


To cover an object


To fill an object

Answers

VOLUME is what he space that a substance or shape occupies or contains.

so d - to fill an object

Add the following rational numbers: 5/8 and 3/-10​

Answers

Answer:

= 13/40

Step-by-step explanation:

(5/8) + (3/-10)

5/8 = 50/80

3/-10 = -24/80  

then:

(5/8) + (3/-10) = 50/80 - 24/80

= 26/80 = 13/40

Answer:

13/40

Step-by-step explanation:

Which of the following is not a solution for
finding the perimeter of the square?
A. 4(2y + 2)
B. 8y + 8
C. (2y + 2) + (2y + 2) + (2y + 2) + (2y
+ 2)
D. 4y +4

Answers

Answer:

Step-by-step explanation:

Its D

(I’ll give brainliest)Find the area of the circle below leave your answer in terms of Pi

Answers

Answer:

I think it's 20 i'm not so sure if you get it wrong than i'm sorry

What is the midpoint of the segment shown below no links please

Answers

Answer:

D. (2,5)

Step-by-step explanation:

Since the segment is straight and horizontal the y-value will still be 5. Now to find the midpoint you simply figure out how long the segment is and divide by 2. After dividing by 2 you can add that number to smallest value or subtract it from the largest value to get the midpoint x value.

HELP AND NO LINKS HELP

Answers

Answer:

b.

Step-by-step explanation:

Each of the provided angles are also a part of linear pairs, so 180-145=35

180-100=80

35+80=115

To solve for the final angle/the one they are wanting

180-115=65

A rock weighs 80 g on a triple beam scale. The same rock is then gently placed inside a graduated cylinder containing 30 mL of water. If the water level in the graduated cylinder rises to 75 mL. What is the density of the rock

Answers

Answer:

1.78 g/cm³

Step-by-step explanation:

80 g rock displaces water:

75 ml - 30 ml = 45 ml = 45 cm³

Density = mass / volume:

d = 80 g / 45 cm³d = 1.78 g/cm³ (rounded)

If the spinner shown is spun 40 times, predict the number of times the spinner would land on Section B.

Answers

Answer:

10 times

Step-by-step explanation:

Given that:

Number of sections = (A, B, C, D) = 4

Probability of spinner landing on section B on a single spin = required outcome / Total possible outcomes

P(landing on B) = 1 /4

Predicted Number of times spinner will land on D ; if spinner is spurned 40 times

1/4 * 40 = 10 times

What is the final selling price of a $150 phone with 230% markup and then 7% sales tax?

Answers

Answer:

369.15

Step-by-step explanation:

Which function is the inverse of f(x) = 2x + 3
o f(x) = - 1 / 2 x - 3/2
o f(x) = 1/2 x -3/2
o f(x) = -2x+3
O f(x)=-2x+3

Answers

Answer:

[tex] \frac{ - 1}{2}x - \frac{ - 3}{2} [/tex]

Step-by-step explanation:

I think so

Y=400(.99)^x is this growth or decay

Answers

Answer:

its decreasing. .........

The given function of the growth decay is decreasing.

We have given that,

Y=400(.99)^x

When does growth decay increase or decrease?

Exponential growth is a process that increases quantity over time. decreases over time, and is said to be undergoing exponential decay instead.

Therefore, The given function of the growth decay is decreasing.

To learn more about the decay visit:

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If the sales tax rate is 7 1/4 percent and Jessica paid $1.45 in sales tax for a
sweater, what was the price of the sweater?

Answers

Answer:

$20

Step-by-step explanation:

Find the price of the sweater by dividing 1.45 by 0.0725

1.45/0.0725

= 20

So, the sweater was $20

5. Find the volume of a cyclinder with a height of 6m and a radius of 3m.
169.56m^3
28.26m^3
339.12m^3

Answers

Answer:

169.56m^3

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth.
13
20
help please !

Answers

Answer: D, 15.2

Step-by-step explanation:

use formula a^2 + b^2 = c^2

a^2 + 13^2 = 20^2

a^2 + 169 = 400

       - 169   -169

a^2 = 231

sqrt   sqrt

a = sqrt(231)

a = 15.198 = 15.2

which expressions is equivalent to 4(2x+3y)​

Answers

Answer: 8x+12y

Step-by-step explanation:

Assuming this is a problem in a unit on distributive property, and thus, due to the apparent lack of options, will solve it as such:

The distributive property dictates that a(b+c) = ab+ac.

Thus,

4(2x+3y)

8x+12y

Hope it helps :)

Answer:

8x+12y

Step-by-step explanation:

Multiply both numbers times the number is outside the parenthesis

A gardener made a scale drawing of a lawn with a scale
factor of 1:8. The dimensions of his drawing are 9 inches
long by 5 inches wide. His partner plans to make another
scale drawing of the lawn, but with a scale factor of 1:16.
What are the dimensions of his scale drawing?
A. The length is 4.5 inches and the width is 2.5 inches.
B. The length is 10 inches and the width is 18 inches.
C. The length is 2.5 inches and the width is 4.5 inches.
D. The length is 18 inches and the width is 10 inches.

Answers

Answer:

the answer is A .I took the test and got it correct

Xavier bought a bicycle that was on sale for 15% off.If Xavier paid $68 for the bicycle,how much money did he save,compared to the original price

Answers

Answer:

12 dollars

Step-by-step explanation:

100%-15%=85%

68÷85%=80

The original price was 80 dollars.

whoever answers correctly get brainliest.

Answers

Answer:

all of it

Step-by-step explanation:

Answer: 1, 2, 3, 4, 5

Step-by-step explanation:

Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this week. If she uses 5 ounces of flour for each batch of sugar cookies, how many batches of sugar cookies will she make in a week?

Answers

Answer:

153 batches

Step-by-step explanation:


PLSZSZ HELPPPP

The daily low temperatures
for Fairbanks, Alaska are
shown in the table. What
was the mean low
temperature for Fairbanks,
Alaska for January 1st-4th?

Answers

Answer: -16

Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:

-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.

Help me please
Help me

Answers

Answer:

Squares have equal sides

Step-by-step explanation:

If LN is 46 then:

OM is also 46

PN is half of that so 23

ON and MN would be 32.53

The sum of 7 times a number and 3 equals 8
variable is w

Answers

Answer:

21w

Step-by-step explanation:

Answer:
38w
Step by step answer:




A spinner has an equal chance of landing on either red blue or green. You spin six times. What is the probability that spinner lands on red at least two times?

Answers

Answer:

0.8906 ( 4 decimal places)

Step-by-step explanation:

With an equal probability of landing in either blue or red, then

Probability of success, p = 0.5

Number of trials, n = 6

Probability of landing on red atleast twice Can be obtained using a cumulative binomial probability ;

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x ≥ 2) = p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5) + p(x = 6)

Obtaining the individual probabilities and summing them up or we could use a cumulative probability option on either a calculator, excel or an online binomial probability distribution.

Using an online binomial probability calculator :

P(x ≥ 2) = 0.890625

P(x ≥ 2) = 0.8906 ( 4 decimal places)

What is the volume. 25 points rewarded

Answers

Answer:

108 in

Step-by-step explanation:

6 x 3 x 6

There are three blocks so the length and width would stay the same by the height would be increased by times 3.

A animal shelter had 13 dogs and 15 cats. 4 dogs were adopted, and 1 cat died. then 6 more cats were rescued and 1 dog was adopted. then 3 more dogs were adopted, and 6 cats were added.

How many pets are there in all?
(whoever guess correctly gets brainliest) ​

Answers

I believe the answer is 31

Diego is sailing the ocean, and his ship is low on supplies. He needs to reach land and restock. Looking at his map, Diego estimates his ship's location and marks it with an \text{X}Xstart text, X, end text shown below at (-2,-4)(−2,−4)left parenthesis, minus, 2, comma, minus, 4, right parenthesis. 4 points on a coordinate plane. The point labeled, "Island A," is at -3, 1. The point labeled, "Island B," is at 3, -6. The point labeled, "Island C," is at -6, -7. The point labeled, "X," is at -2, 4. Graph units are in kilometers. What is the distance from Diego's ship to the closest island? Round the final answer to the nearest tenth of a kilometer. Do not round intermediate calculations. \text{ km} km

Answers

Answer:

5 kilometers

Step-by-step explanation:

Just use distance formula for each island to his boat

The distance between is the number of units between them, and the distance from Diego's ship to the closest island is 5.4 units

What is a point coordinate?

A point coordinate is the location of a point on the coordinate plane

From the question, the coordinate of point X is:

X = (-2, -4)

The closest island to point X is the island B, and the coordinate is:

B = (3, -6)

The distance is then calculated using:

XB =√[(x₁ - x₂)² + (y₁ - y₂)²]

So, we have:

XB =√[(-2 - 3)² + (-4 + 6)²]

Evaluate

XB = 5.4

Hence, the distance from Diego's ship to the closest island is 5.4 units

Read more about distance at:

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9 x 2 3/4 pls help me

Answers

Answer:  24.75

Step-by-step explanation:

A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the

probability of winning any given prize is always 1/4.

Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a

simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in

that trial.

4

5

6

7

8

9

10 11 12 13 14 15

# of boxes purchased

Use her results to estimate the probability that it takes fewer than 7 boxes to get all 4 prizes.

Give your answer as either a fraction or a decimal.

P(fewer than 7 boxes) -

Answers

Answer:

[tex]P(x < 7) = 0.383[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

Determine the probability that few than 7 boxes will be needed.

This is represented as:

[tex]P(x < 7)[/tex]

And the solution is:

[tex]P(x < 7) = P(x = 4) + P(x = 5) + P(x = 6)[/tex]

Each probability is calculated by dividing the number of dots by the total dots.

So, we have:

[tex]P(x < 7) = \frac{n(x = 4) + n(x = 5) + n(x = 6)}{Total}[/tex]

From the attached, the formula becomes:

[tex]P(x < 7) = \frac{4 + 6 + 3}{4+6+3+4+4+6+3+2+1+2+0+1}[/tex]

[tex]P(x < 7) = \frac{13}{36}[/tex]

[tex]P(x < 7) = 0.361[/tex]

Segment AB has endpoints A(-2, 8) and B(4,0). The segment is dilated about the origin by a scale factor of 0.5 to create segment AB

What are the endpoints of segment AB?

select both endpoints

(-2,8)

(-1,4)

(0,0)

(1,4)

(2,0)

(4,0)


[please help, i would appreciate it alot]

Answers

Answer:

Step-by-step explanation:

(-1,4) (1,4) 2,0

The endpoint of the line segment will be (-1, 4) and (2, 0). Then the correct options are B and E.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

Section Stomach muscle has endpoints A(- 2, 8) and B(4,0). The section is widened at the beginning by a scale variable of 0.5 to make a fragment of the Stomach muscle.

The endpoint of the line segment is given as,

A = 0.5(-2, 8)

A = (-1, 4)

B = 0.5(4, 0)

B = (2, 0)

The endpoint of the line fragment will be (- 1, 4) and (2, 0). Then the right choices are B and E.

More about the dilation link is given below.

https://brainly.com/question/2856466

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PLZZZ HELP MEEE I NEED TO TURN THIS IN

Answers

-5x + 42 = -8

-42 -42

-5x = -50

-5 -5

x = 10

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