PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!! Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.

a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.

b. What are the speeds of the two cyclists? _______________

Answers

Answer 1
Answer:

a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68

b) The speed of both cyclists are 3mi/hr and 10mi/hr respectively

The formula for calculating the distance covered is expressed as:

Distance = speed * time

Let the speed covered by one cyclist be t

If one cycles 3 miles per hour faster than the other, the speed of the other will be t + 3

If both meet after 4 hours of riding, then their time will be 4 hours

Distance covered the first cyclist = 4r

Distance covered by the second = 4(r+3)

If the two cyclists are 68 miles apart, then:

4r + 4(r+3) = 68

a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68

b) Expand the equation in a to get "r"

4r + 4r + 12 = 68

8r + 12 = 68

8r = 68 - 12

8r = 56

r = 56/8

r = 7miles per hour

Speed of the first cyclist = 7mi/hr

Speed of the second cyclist = 3 + 7mi/hr = 10mi/hr

Hence the speed of both cyclists are 3mi/hr and 10mi/hr respectively

Learn more here: brainly.com/question/19915685

Answer 2
Answer:

Answer:

4r + 4(r + 3) = 68

r = 7 miles per hour

r + 3 = 10 miles per hour

Step-by-step explanation:

distance = rate * time

a)

4r + 4(r + 3) = 68

Distribute

4r + 4r + 12 = 68

8r + 12 = 68

8r = 56

r = 7 miles per hour

r + 3 = 10 miles per hour


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I need help asap will give brainiest

A drawer contains 3 tan sweaters and two black sweaters. You randomly choose two sweaters. What is the probability that both sweaters are black?

Answers

A = event that you select a black sweater
P(A) = 2/5 since there are 2 black out of 2+3 = 5 total

After you make a selection, we have the event
B = event that you select another black sweater assuming event A has happened already

P(B) = 1/4 because there's 1 black sweater left out of 5-1 = 4 left over

Multiply the probabilities
P(A and B) = P(A)*P(B)
P(A and B) = (2/5)*(1/4)
P(A and B) = 2/20
P(A and B) = 1/10

The answer as a fraction is 1/10
In decimal form, it is 0.1
As a percent, the answer is 10%

Five thirds divided by seven thirds can be solved using which of the following

Answers

Answer: 5/7

Step-by-step explanation: 5x3 = 15 and 3x7=21 , if u simplify it equals to 0.7143 and that is 5/7

In Mexico, avocados are 48 pesos per kilogram. What is the cost, in cents, of an avocado that weighs 0.45 lb if the exchange rate if the exchange rate is 18 pesos to the dollar?

Answers

Answer:

55 cents

Step-by-step explanation:

Let's convert 0.45 lb to kilograms

2.20 lb = 1 kg is the conversion factor, hence:

0.45lb*(1Kg)/(2.2lb)\n=(0.45)/(2.2)\n=0.2045Kg

So that's 0.2045 kg

Since 48 pesos is for 1 kg, hence for 0.2045 kg, the cost (in pesos) is:

0.2045 kg * 48 = 9.82 pesos

Now, we know 18 pesos is 100 cents (1 dollar), so how much is 9.82 pesos?? (let number of cents be X)

(18Pesos)/(100Cents)=(9.82Pesos)/(X)\n18X=9.82*100\n18X=982\nX=(982)/(18)\nX=54.6 Cents

That's roughly 55 cents

The sum of two consecutive integers is -39. List the two numbers from smallest to greatest

Answers

Answer:

  -20, -19

Step-by-step explanation:

The average of the two numbers is -39/2 = -19.5. The smaller number is 0.5 less than this, -20, and the larger number is 0.5 more than -19.5, so is -19.

_____

Comment on the problem and solution

I find that working consecutive integer problems is often simplified by working with the average value of those integers:

  • the average of two consecutive odd integers is the even integer between them
  • the average of two consecutive even integers is the odd integer between them
  • the average of an odd number of integers of the same type (consecutive, consecutive odd, consecutive even) is the middle one
  • The average of an even number of consecutive integers is the "half" number between the middle two (as in this problem).

WILL MAKR BRAINLIEST!!!! ANSWER THIS- https://brainly.com/question/17433324 WHAT IS THE SQUARE ROOT OF 25??!?!!?!

Answers

Answer:

The square root of 25 is 5.

Step-by-step explanation:

You can check your work by doing 5 squared!

:) Hopefully this helps

I already answered your other question!

4^-1+2^-3
simplify !!!

Answers

Answer:

3/8 (decimal = 0.375)

Step-by-step explanation:

apply exponent rule

= 1/4 + 2^-3

= 1/4 + 1/2^3

= 1/4 + 1/8

least common deno

= 2/8 + 1/8

= 3/8