One hour after a hiker left camp, a biker set out to catch up. If the hiker traveled 3 miles per hour and the biker traveled 6 miles per hour faster, how long will it take for the biker to catch up with the hiker?

Answers

Answer 1
Answer:

Answer:

30 minutes after biker left

Step-by-step explanation:

Given that :

Speed of hiker = 3 mph

Speed of biker = (3 +6) = 9 mph

Present Distance of hiker when the biker set out ;

Present Distance of hiker = speed * time = (3 * 1) = 3 miles

Time taken to catchup equals :

Present distance + (distance when biker set out) = bikers distance

Let time taken = x

(3 + (3 * x)) = (9 *x)

(3 + 3x) = 9x

3 + 3x = 9x

3 = 9x - 3x

3 = 6x

x = 3/6

x = 1/2 hours

x = 30 minutes

30 minutes after biker left

Answer 2
Answer:

Answer:

0.5 hrs or 30 mins

Step-by-step explanation:


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Numbers between 61 and 107 that is a multiple of 4,6, and 8

Answers

72 and 96. 72 is the answer once you multiply 18 by 4, 12 by 6, and 9 by 8. As for 96, you need to multiply 24 by 4, 16 by 6 and 12 by 8. If you divide 72 and 96 by 4, 6, and 8, you won't get any remainder for the answer - effectively making it a multiple of the three numbers.

Solve for b and c

2x^3-8x^2-24x=2x(ax+b)(cx+d)

a=1 and d=-6

Answers

Answer:

b = 2, c = 1

Step-by-step explanation:

2x³ - 8x² - 24x == 2x(ax + b)(cx + d)

2x³ - 8x² - 24x = 2x(x² - 4x - 12)

= 2x(x + 2)(x - 6)

Answer:

Step-by-step explanation:

b=2, c=1

Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of -2/3 -3/2 2/3

Answers

2/3

Explanation;
Parallel lines have equal gradients.

Answer:

2/3

Step-by-step explanation:

Hope this helps

Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping? plzzzzz answerr x(x2 – 12) + 2(x2 – 12) x(x2 – 12) – 2(x2 – 12) x2(x – 12) + 2(x – 12) x2(x – 12) – 2(x – 12)

Answers

Answer:

Step-by-step explanation:

The idea of factoring by grouping is that you don't move anything around.  You leave the polynomial in descending order of powers of x and group them together in groups of 2.

(x^3-12x^2)-(2x+24)=0

Then you factor out what is common in each set of parenthesis.

x^2(x-12)-2(x-12)

You know if factoring by grouping "works" if what's inside both sets of parenthesis is exactly the same.  Both of ours are (x - 12), so grouping "worked".  Match the factoring above to one of your answers.

Answer:

For anyone else viewing this, the answer is option D.

Step-by-step explanation:

This is my evidence. Please mark me brainliest and have a fantastic day!

A figure is part blue and part red.it is 5/8 red what part of the figure is blue

Answers

If (5)/(8) is red, than the remaining (3)/(8) would be blue. (5)/(8) + (3)/(8) would give you (8)/(8).

8.2(d + 87.8) + –61 = –42.96

Answers

first you will do dispurtive property.

8.2× D = 8.2d. 8.2×87.8=719.96

next you will write your equation down

8.2d+719.97+-61=42.96

you want the variable to be on the LEFT side so to isolate the variable you want to subtract the 719.97+-61= 658.97

now you bring the 658.97 to the right side.

42.96+658.97=701.93

now you divide

85.60

Answer:-32 8/205

Step-by-step explanation:

I solved for d, I hope that is what you are asking. First, I divided -41.96 by 8.2. Then added 61. now the (d+87.8) is by itself. then I just subtracted 87.8. my final answer was -32.03902439024. I simplified it but if you need the long answer there it is. I did not round my answer in between steps at all. I hope this helped! GL!