The Skateboard club has 2 different colors of skateboards blue and red. Can you find the number of skateboards of each color, if the total number of skateboards is 15, and their product is 44?

The number of skateboards of each color is 11 and 4

Step-by-step explanation:

Let x represent blue skateboards and

y represent red skateboards.

From the question, the total number of skateboards is 15, that is,

x + y = 15 (1)

and their product is 44, that is,

xy = 44 (2)

From equation (1),

x + y = 15

We can write that

x = 15 - y (3)

Substitute this into equation (2)

xy = 44

(15-y)y = 44

15y -y² = 44

Then,

y² - 15y + 44 = 0

Solve quadratically

y² -4y -11y + 44 = 0

y(y-4) -11(y-4) = 0

(y-11)(y-4) = 0

y-11 = 0 OR y-4 = 0

y = 11 OR y = 4

Put the values of y into equation (3) for x

x = 15 - y

When y = 11

x = 15 - 11

x = 4

and when y = 4

x = 15 -4

x = 11

(4,11) and (11,4)

It is either 4 blue and 11 red skateboards OR 11 blue and 4 red skateboards.

Hence, the number of skateboards of each color is 11 and 4.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

5+2x=a

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