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3 years ago

Which is equivalent to 5(a + 6)? 1. a+30 2. 5a-30 3. 5a+6 4. 5a+30

Mathematics

1 answer:

Afina-wow [57]3 years ago

5 0

Answer: the answer is number four.

Step-by-step explanation:

<h2>because when you take five multiply by A (5*a) you will get 5a and when you take five multiply by six (5*6) you will get 30 and there is positive sign so the plus (+) stays the same and your will be (5a+30) that is your answer. good luck.</h2>

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if a runner finishes the 26.2. mille race in 4 hours and 37 mins and Wilson kipping finish in 4 minutes and 43 seconds per mile

Neporo4naja [7]

Answer

a) Wilson Kipsang is 7.046 miles per hour faster than the average runner.

Solution is presented below under Explanation.

b) Wilson Kipsang is 2.24 times faster than the average runner.

c) When the average runner is at mile 6, Kipsang will be at mile 13.45.

d) Kipsang's record time = 2 hours, 3 minutes, 34.6 seconds

Explanation

To solve this, we will calculate the speed of the average runner and then the speed of Wilson Kipsang

Speed = (Distance/Time)

For the average runner

Distance = 26.2 miles

Time = 4 hours 37 mins = 4 hours + (37/60) = 4.617 hours

Speed = (Distance/Time)

Speed = (26.2/4.617)

Speed = 5.675 miles per hour

For Wilson Kipsang

Distance = 1 mile

Time = 4 minutes 43 seconds = (4/60) + (43/3600) = 0.0667 + 0.01194 = 0.0786 hour

Speed = (Distance/Time)

Speed = (1/0.0786) = 12.721 miles per hour

So, now, we are asked to find how much faster than the average runner is Wilson Kipsang

Wilson Kipsang's speed = 12.721 miles per hour

Average runner's speed = 5.675 miles per hour

Wilson Kipsang is faster than the average runner by

(12.721 - 5.676) = 7.046 miles per hour

b) We are asked to find how many times faster than the average runner Wilson Kipsang is.

Let the number of times he is faster than the average runner be x

Wilson Kipsang's speed = 12.721 miles per hour

Average runner's speed = 5.675 miles per hour

(5.675) (x) = (12.721)

Divide both sides by 5.675

x = (12.721/5.675)

x = 2.24 times

c) If the average runner is at mile 6, where would Kipsang be?

To do this, we will find the time it takes the average runner to be at mile 6, then use that time to find where Kipsang would be.

Speed = (Distance/Time)

By cross multiplying, we see that

Time = (Distance/Speed)

For the average runner

Distance = 6 miles

Speed = 5.675 miles per hour

Time = (Distance/Speed)

Time = (6/5.675) = 1.057 hours

For Wilson Kipsang,

Speed = (Distance/Time)

By cross multiplying

Distance = (Speed) (Time)

Speed = 12.721 miles per hour

Time = 1.057 hours

Distance = (Speed) (Time)

Distance = (12.721) (1.057)

Distance = 13.45 miles

d) We were told that for Kipsang

1 mile = 4 minutes 43 seconds

26.2 miles = 26.2 (4 minutes 43 seconds)

26.2 miles = 26.2 (283 seconds) = 7414.6 seconds

We can then convert this further

7414.6 seconds = 2 hours, 3 minutes, 34.6 seconds

Hope this Helps!!!

4 0

1 year ago

11x+5+-11x+29.........

Volgvan

You can add like terms. Like terms are terms that have the same variables and the same exponent.

11x + 5 + -11x + 29 =

= 11x + -11x + 5 + 29

= 34

Answer: 34

6 0

3 years ago

Read 2 more answers

How would you solve this?

finlep [7]

Answer:the probability that a pensioner catches a flu is 0.3 or $\frac{3}{10}$

Step-by-step explanation:

a) Pensioners who have had a flu jab = $\frac{3}{5}$

b) Pensioners who did not had a flu jab = 1 - $\frac{3}{5}$ = $\frac{2}{5}$

For the first pair of arrows: a is the probability of the upper arrow and b is the probability of the lower arrow.

<em>If pensioner have had a flu jab, the probability of catching flu is $\frac{1}{30}$ </em>

Data:

c) Catching flu = $\frac{1}{30}$

d) Not catching flu = 1 - $\frac{1}{30}$ = $\frac{29}{30}$

The second pair of arrows on the top: Top arrow is c and bottom arrow is d

<em>If pensioner did not have a flu jab, the probability of catching flu is $\frac{7}{10}$ </em>

e) Catching flu = $\frac{7}{10}$

f) Not catching flu = 1 - $\frac{7}{10}$ = $\frac{3}{10}$

The second pair of arrows on the bottom: Top arrow is e and bottom arrow is f.

Q) Probability pensioner catches a flu

P(catches the flu given that he had the flu jab) + P(catches the flu given that he did not have the flu jab)

( $\frac{3}{5}$ x $\frac{1}{30}$ ) + ( $\frac{2}{5}$ x $\frac{7}{10}$ )

= 0.02 + 0.28

= 0.3

Therefore, the probability that a pensioner catches a flu is 0.3 or $\frac{3}{10}$

Keyword: Probability

Learn more about probability at

#LearnwithBrainly

5 0

3 years ago

CAN SOMEONE HELP ME PLEASE ASAP!?

AfilCa [17]

Answer:

36.1 in.

Step-by-step explanation:

1:19 , 1.9in.

1.9 * 19

which equals 36.1 in.

(HOpe This hElps:)

If correct plz give brainliest ; )

8 0

2 years ago

Read 2 more answers

Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola

k0ka [10]

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

$b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55$

General equation of hyperbola is :

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1$

Hence, this is the required solution.

3 0

3 years ago