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FinnZ [79.3K]
3 years ago
15

Juanita runs every third day and swims every fifth day. If Juanita runs and swims today, in how many days will she run and swim

again on the same day?
Mathematics
2 answers:
AleksAgata [21]3 years ago
7 0
We are looking for the least common multiple of 3 and 5 which is 15.  On the 15th day after today, she will do both on the same day.
Ber [7]3 years ago
3 0

we know that

The least
common multiple (LCM) of two or more numbers is the least

number, other than zero, that is a multiple of all the numbers.

In this problem, we are looking for the least common multiple of 3 and 5

So

Multiply 3 by 5

LCM=3*5\\ LCM=15

therefore

On the 15th day after today, she will do both on the same day

the answer is

15 days

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Find the equation of a line that is parallel to line g that contains (P, Q).
Fofino [41]

Correct option:

\boxed{x-y=P-Q}

<h2>Explanation:</h2>

Given that the line we are looking for is parallel to g, then the slope of that line and g is the same, therefore:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ (x_{1},y_{1})=(-3,2) \\ \\ (x_{2},y_{2})=(0,5) \\ \\ \\ m=\frac{5-2}{0-(-3)}=1

So we can write the point-slope form of the equation of the line as follows:

y-y_{0}=m(x-x_{0}) \\ \\ (x_{0},y_{0})=(P,Q) \\ \\ \\ y-Q=1(x-P) \\ \\ y-Q=x-P \\ \\ \\ Arranging: \\ \\ P-Q=x-y \\ \\ \boxed{x-y=P-Q}

<h2>Learn more:</h2>

Graphying systems of linear equations: brainly.com/question/13799715

#LearnWithBrainly

8 0
2 years ago
Read 2 more answers
-3/5(-5/9)
pochemuha

Answer:

1/3 is your answer.

Step-by-step explanation:

What you do is you have to make the denominator the same.

-27/45(-25/45)

1/3 is your answer.

4 0
3 years ago
Line segment AB has endpoints at B (2 , 4) and A (22 , 4). Find point C so that it is located 3/4 of the way from A to B.
Igoryamba

Answer:

need points

Step-by-step explanation:

need points

4 0
3 years ago
Which equation has the same solution as x2 – 6x – 14 = 0?
grandymaker [24]
4x would be your answer
4 0
3 years ago
Which of the following lines is perpendicular to the line Y = 3x -4
andriy [413]

Answer:

D.

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be \frac{1}{3} , and \frac{5}{1} would be -5. The equation is written in slope-intercept form:

y=mx+b

m is the slope, so find the equation with the opposite reciprocal of 3, -\frac{1}{3}:

y=-\frac{1}{3} x+4 is the only option with the correct slope, so the answer is D.

6 0
3 years ago
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