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morpeh [17]
3 years ago
15

Algebraic expression for four plus twice a number equals six

Mathematics
2 answers:
son4ous [18]3 years ago
5 0
Here you go, 4+2x=6 is the equation you might be looking for.
evablogger [386]3 years ago
3 0
The algebraic expression would be 2x+4=6 where x is 1 to make the equation true.<span />
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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
Find the length of side x to the nearest tenth.<br> 30°<br> 12<br> x<br> х<br> 60°
k0ka [10]

<u><em>Answer</em></u>:

13.9

<em><u>Step-by-step explanation:</u></em>

<em>Use the Pythagorean Theorem </em>

x=13.85 round to the nearest tenth 13.9

<em />

8 0
3 years ago
Write 6^8 • 6^7 as a single power
taurus [48]
<h3><u>Write 6^8 • 6^7 as a single power:</u></h3>

6^8 \times 6^7 = 6^{15}

<em><u>Solution:</u></em>

Given that,

We have to write 6^8 • 6^7 as a single power

Given is:

6^8 \times 6^7

<em><u>Use the following law of exponent</u></em>

a^m \times a^n = a^{m+n}

When, the base is same, powers gets added

Therefore,

6^8 \times 6^7 = 6^{8+7}\\\\6^8 \times 6^7 = 6^{15}

Thus the given is written as a single power

3 0
3 years ago
Alexis is making bread dough.The recipe requires 3/4 cup of flour and 1 2/5 teaspoon of salt. To maintain the ratio,how much sal
tekilochka [14]

Answer:

16/5 teaspoons

Step-by-step explanation:

1/4 cups of flour uses 4/15 teaspoon so 4/15 x 4 is 16/5

7 0
3 years ago
Divide. (4x^3+2x+1)÷(x+1)
stiks02 [169]

(4x^3+2x+1)\div(x+1)=4x^2-4x+6-\dfrac{5}{x+1}

8 0
3 years ago
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