At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.

A. northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h

B. northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h

C. northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h

D. northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h

Answers

Answer 1

Answer:

D Option is the correct one.

Step-by-step explanation:

As,

Distance covered = 40km = 40000m(1k=1000m)

time = 10:15-9:00 = 1:15hours = 75mins

We need to find the rates of the bicyclist in one hour so, for this first we need to calculate the total distance which covered in one hour.

For calculating distance for one hour,

40000/75 = 533.33m/min (means they covered 533.33m distance in one min)

for one hour:

533.33*60= 32000m = 32km

They covered 32km distance in one hour.

Now from the given options D is the correct one because according to give condition north bicyclist covered 4km more that south one. And other reason is we also need to check the sum of distance covered by the both cyclist which must be equal to 32km.

So for A,

Sum = 19 + 15 =34 (wrong not equal to 32)

For B,

Sum = 18 + 13 = 31 (wrong)

For C,

Sum = 16 + 10 = 26(wrong)

For D,

Sum = 18 + 14 = 32 (Right)

And second distance b/w both distance is 4km.

18-14 = 4(Right)

So, D option is the right one.

I hope it will help you.


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Step-by-step explanation:

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Is 500 x 30 a good estimate for the number of tickets sold at the number of tickets sold at the theater in one month

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Answer:

It depends if business is steady. If they make about 500 a day that is a fair estimate. Make sure that the month you are talking about has 30 days.

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Answer:

5/10 or 1/2 is the answer I think

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I would say A, reasoning.

Answer: reasoning

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

10 to  the power of -1 = 0.1

10 to the power of -2 = 0.01

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Answer:

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a) Keith's car will have less gas.

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Since Keith's line is lower than Carmen, he has less gas.

We can also find the difference: 11 - 10 = 1.

It will have 1 less gallon.

b) Look at the point in which both lines meet. This means that they have the same amount of gallons remaining (8) at 180 miles driven.

Before 180 miles, Keith's car will always have less car remaining.

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Answer:

f = 5/6 = 0.833  or f = 0

Step-by-step explanation:

Write the correct order of the letters to the finish line

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Answer:

Write the correct order of the letters to the finish line

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Answer:

Table 2

Step-by-step explanation:

We can solve this by dividing the number of pizzas at each table by the number of kids at each table.  This will tell us how much pizza each kid is able to eat:

Table 1:

2 pizzas/5 kids = 2/5 pizzas per kid = 0.4 pizzas per kid

Table 2:

3 pizzas/7 kids = 3/7 pizzas per kid = 0.429 pizzas per kid

Table 3:

5 pizzas/12 kids = 5/12 pizzas per kid = 0.417 pizzas per kid

The kids at table 2 are able to eat slightly more pizza than the kids at the other tables.

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Answers

Answer:

Falta otro triangulo para poder realizar la operacion

Step-by-step explanation:

It’s B C hope that helps

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Answers

Answer:

1+1=2  

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(1+1−52)2=(2−52)2

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(1+1−52)2=4−10+(52)2

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Answers

Answer:

C (-2,2)

D (1,-2)

Step-by-step explanation:

happy thanksgiving!

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Answer:

Step-by-step explanation:

there are 15 pieces of fruit in a bowl and 6 of them are oranges.what is the percenage of fruits are in oranges

Answers

Hi there!

We can find the percentage by expressing the amount of oranges to total fruits as a fraction:

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Plug in the given values:

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Convert to a percentage by multiplying by 100:

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Answers

Answer:

2 feet

Step-by-step explanation:

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Answer:

a. (4, -3)

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Step-by-step explanation:

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step 1: plug in x value

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Answer:

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Answers

Answer:

Step-by-step explanation:

Hey there!

so answer for (A is 1)

Answer for (B is 100)

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Answer:

Step-by-step explanation:

a) [tex]55^{0} = 1[/tex]

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Answers

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Step-by-step explanation:

like terms are when in an equation they might have variables that match like 4y + 7y they have the same variable which is y or 6 + 7 they don't have a variable at all but they are similar in that way. Btw why it says -3x is because I changed the equation to be all addition so I did kcc you don't have to do that if you find a different solution :) anyway lets move on to part b

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4xy + 2x −2y

Calcula lo solicitado para una persona que gana un salario de $980.000 mensuales:
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Yes baby of course totaln yess

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Answer:

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Step-by-step explanation:

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Answers

Answers:

constant of proportionality:  2equation is:  c = 2a

==================================================

Explanation:

a = number of apples purchased

c = cost in dollars

The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).

To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.

We'll update the equation from c = ka to c = 2a

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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As a puppy, Cricket weighed 3 3/4 pounds. At her 1-year check-up with the vet, Cricket weighed 12.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number in the box.​

Answers

Answer:
8.75lb :)

Explanation:
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Answer:

8.75lb

Step-by-step explanation:

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Answers

Answer:

m=14

Correct me if I'm wrong ^•^

Answer:

m = -49

Explanation:

Combine like terms

13m - 34m + 42m - 22m + 8 = -41

-m + 8 = -41

Subtract 8 from both sides of the equation

-m + 8 = -41

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Simplify

Subtract the numbers

-m = -49

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