Answer:
25% increase
Step-by-step explanation:
Take the new number and subtract the original amount
90-72 = 18
Divide this amount by the original amount
18/72 = .25
Multiply by 100
25%
This is the percent increase
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
Answer:
"The quotient of the opposite of a number squared and 3"
Take "the opposite of a number squared" and call it y.
So you get "The quotient of y and 3"
This is y/3.
Now what is y? "The opposite of a number squared"
Take "The opposite of a number" and call it z.
So y is "z squared"
Replacing y, we get z^2 / 3
But what is z? "The opposite of a number"
Call "a number" x.
The opposite of x is -x.
So z is "-x"
Replacing z, we get (-x)^2 / 3
Answer:
6.224 x 10^3 Hope this helped out :)
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
.If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
then you end up getting 6.224 x 10^3
Answer:
C) y is equal to 10.5x
Step-by-step explanation:
$31.50 is charged for <em>3 </em>hours so, for 1 hour we need to divide 31.50 by 3, which results in 10.50. So 1 hour of babysitting is $10.50
this is because x is equal to the number of hours they babysit. we do not know the actual so it is replaced with x
and y is equal to the sum of 10.5x because we multiply the number of hours worked, and the amount per hour.
