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2 years ago

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Michael has soccer practice every other day, swimming practice every third day, and tennis lesson every 5th day. This Wednesday

he had soccer, swimming, and tennis.
In how many days will Michael have all three sports at the same day again?

1 answer:

IceJOKER [234]2 years ago

4 0

Answer:

30

Step-by-step explanation:

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1) Consider the sequence:

Ivan

Answer:

1) The 38th term is A. 38

2) The 11th term is D. 3072

3) The 3rd term is C. 34

Step-by-step explanation:

1) I added 2 until I got to the 38th term.

2) I multiplied until I got to the 11th term.

3) I added 3 until i got to the 12th term.

The teacher showed a more complex way to do it but this is just what I did.

I took the quiz, so I know that I got them all correct.

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Jacqueline earned a commission of $200 for one week at work. her commission rate is 12% of the merchandise she sells. how much m

guajiro [1.7K]

For this case, the first thing we must do is define variables.

We have then:

m: original quantity of merchandise sold (in $)

We then have the following idea:

(original amount) (percent) = new amount

The new amount is the amount that Jacqueline earns for 12% of the commission on sales.

We have then:

$m (0.12) = 200$

Clearing m we have:

$m =\frac{200}{0.12}\\m = 1666.7$

Answer:

The equation that solves the problem is:

$m (0.12) = 200$

The amount she sold is:

$m = 1666.7$

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2 years ago

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Regina takes yoga classes 2 days a week at the community center.The cost for the classes is $72,and Regina pays an additional on

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Find the equation of the line which passes through (−2, 3) and the point of intersection of the lines x + 2y=0 and 2x − y − 12=0

Alik [6]

Answer: y = 0.794*x + 4.588

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case the points are:

(-2, 3) and the intersection of the lines:

x + 2y = 0

2x - y - 12 = 0

To find the intersection of those lines, we can first isolate one variable in one side of each equality, i will isolate the variable y.

y = -x/2

y = 2x - 12

Now we can write:

-x/2 = 2x - 12

Solving this we can find the value of x at which both lines intersect.

2x + x/2 = 12

(5/2)*x = 12

x = 12*(2/5) = 4.8

Now we evaluate one of the lines in that point and get:

y = -4.8/2 = -2.4

Then these lines intersect at the point (4.8, -2.4)

Now we can find the slope of our equation.

a = (-2.4 - 3)/(4.8 - (-2)) = 0.794

then we have:

y = 0.794*x + b

And we know that when x = -2, y = 3

then:

3 = 0.794*-2 + b

3 + 1.588 = b = 4.588

Then the equation is:

y = 0.794*x + 4.588

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Kamila [148]

To factor completely 18b - 32, we factor out the common factor of the two terms and divide each of term by the common factor.

18b - 32 = 2(18b/2 - 32/2) = 2(9b - 16)

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