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Hitman42 [59]
3 years ago
13

Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes eac

h day. He ran 2 miles around the football field before
school and ran a longer route through his neighborhood after school. By the end of the week,
Russell had run a total of 30 miles.
Which equation can Russell use to find how many miles, x, he ran each day after school?
5x + 2 = 30
2(x + 5) = 30
5(x + 2) = 30
2x + 5 = 30
How many miles did Russell run each day after school?
Write your answer as a whole number or a simplified fraction.
miles
Mathematics
2 answers:
Ivahew [28]3 years ago
8 0

In maths, Distance is described as the quantity of space between two points, and further calculation can be defined as follows:

Given Expression:

5x + 2 = 30\\\\2(x + 5) = 30\\\\5(x + 2) = 30\\\\2x + 5 = 30

To find:

distance=?

Solution:

5\ days\ \begin{cases} & \text{ if } \text{before school 2 miles}    \\  & \text{ if } \text{after school x miles} \end{cases}

\therefore 5(x+2)=30\\\\

\bold{5(x+2)=30}\\\\\bold{5x+10=30}\\\\\bold{5x=30-10}\\\\\bold{5x=20}\\\\

\bold{x=\frac{20}{4} }\\\\\bold{x=4}

Therefore, the final answer is "4 miles".

Learn more:

brainly.com/question/12186030

ser-zykov [4K]3 years ago
5 0

Answer:

Step-by-step explanation:

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the three angles of a quadrilateral are 29 degrees 31 degrees and 144 degrees respectively. Find the fourth angle
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156 degrees

Step-by-step explanation:

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3 0
3 years ago
What is the point-slope form of a line with slope 3/2 that contains the point (-1 2)
Drupady [299]

Answer:

The point-slope form of this equation is y - 2 = 3/2(x + 1)

Step-by-step explanation:

To find the answer to any equation in point slope form, start with the base form of the equation.

y - y1 = m(x - x1)

Now input the slope for m and the point at (x1, y1)

y - 2 = 3/2(x + 1)

3 0
3 years ago
Bag A contains 3 red balls and 3 blue balls.
dezoksy [38]

Answer:

30% probability that the ball taken from B is red.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Red ball from urn A:

3/6 = 1/2 probability of getting a red ball from urn A.

Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.

Blue ball from urn A:

3/6 = 1/2 probability of getting a blue ball from urn A.

Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.

Total:

p = \frac{1}{2}*\frac{2}{5} + \frac{1}{2}*\frac{1}{5} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10}

3/10 = 0.3 = 30%.

30% probability that the ball taken from B is red.

4 0
3 years ago
To which subsets of real numbers does -22 belong? Chose all the apply
KATRIN_1 [288]

-22 belongs to the set of Integers, rational numbers

3 0
4 years ago
4 questions 20 points
Dvinal [7]
1. Cross multiply
35x = 5(11)
35x = 55
Divide both sides by 35
x = 55/35
x = 11/7

2.  (x - 2)/x = 3/8
Cross multiply
3x = 8(x - 2)
3x = 8x - 16
Subtract 8x from both sides
-5x = -16
divide both sides by -5
x = -16/-5
x = 16/5 OR  3 1/5

3.  (a + 1)/(a - 1) = 5/6
cross multiply
6(a + 1) = 5(a - 1)
distribute
6a + 6 = 5a - 5
subtract 5a from both sides
a + 6 = -5
subtract 6 from both sides
a = -11

4.  (1/3)x - 4 = (2/3)x + 6
multiply each term by 3 to clear the fractions
x - 12 = 2x + 18
subtract x from both sides
-12 = x + 18
subtract 18 from both sides
-30 = x


3 0
4 years ago
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