14 hundreds, 10 tens, and 2 ones.
Answer:
1.5 per hour : 1.2 per hour
Step-by-step explanation:
The computation of the ratio is shown below:
For norma, the one pool would be
= 12 pools ÷ 8 hours
= 1.5 per hour
And for albert, the one pool would be
= 9 pools ÷ 7.5 hours
= 1.2 per hour
So the ratio between them is
1.5 per hour : 1.2 per hour
The expression that is equal to 2022 by adding a set of parentheses is 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12).
<h3>How to solve a long-expression problem?</h3>
In mathematics, parentheses are used to group a set of mathematical terms. In a long-expression, like the one presented, using parenthesis implies:
- The terms in the parentheses are solved separately from those outside the parentheses.
- The terms in the parentheses are solved before solving those outside.
- Moving the parentheses will affect the result of the whole expression.
Based on this, the expression that equals 2022 is:
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)
<h3>Let's solve it to prove this result</h3><h3 />
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)
First, solve the parenthesis first by dividing and then by adding.
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (1 + 1)12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / 2
Now, let's solve this expression, the first step is to solve the multiplications.
Now, solve the division.
Finally, add everything.
- 1728 + 144 + 144 + 6 = 2022
Learn more about mathematics in: brainly.com/question/12083755
Answer:
- P = -390t +48,000
- P = 43,710 in 2003
Step-by-step explanation:
A) We are given two pairs of (t, P): (0, 48000), (8, 44880). We can use these with the 2-point form of the equation of a line:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
P = (44880 -48000)/(8 -0)(t -0) +48000
P = -3120/8t +48000
P = -390t +48000
__
B) In 2003, t = 11, so we have ...
P = -390(11) +48000 = 43710
The population in 2003 is predicted to be 43,710.