Answer:
The second set.
Step-by-step explanation:
Consider the first set of ordered pairs.
For an increase of 9 is the x-values the y values increases by 1.
In the case of the second set the increase in y values compared with increase in y values is different:
x = 2-0 = 2, y = 10- 0 = 10. That is 5 units of y for every unit of x.
x = 5-2 = 3, y = 13-10 = 3. That is 1 unit of y for every 1 unit of x.
Answer:
Option 4
Step-by-step explanation:
So we know that the area of a square is found by s^2. This means that we can just look for (6r)^2, since 6r is our side length! Let's see...We know that (6r)^2 is equal to 6^2 times r^2 because of the distributive property of exponents. Therefore, option 4 is our right answer. 36 is 6^2 and r^2 is r^2.
Answer:
1.25, 40
1.6, 30
Step-by-step explanation:
First, we'll state that the lbs of candy worth $1.25 is A and the lbs of candy worth $1.6 is B.
We write the equations: A + B = 70, (This is the lbs)
and, 1.25A + 1.6B = 1.4(70) (This is money)
Next, choose an equation you want to solve for, in this case, I'll choose A.
In the lbs equation, subtract A from both sides, A - A + B = 70 to get B = 70 - A
Now substitute this equation into the money equation.
1.25A + 1.6(70 - A) = 98
1.25A + 112 - 1.6A = 98
-0.35A = -14
multiply by negative
0.35A = 14
divide
A = 40
Then, you substitute 40 into the lbs equation, 40 + B = 70, making B = 30! Done!
To find the sum of 432 and 24 mentally.
Heather can add 3+2 in the tens place also known as 30 and 20 that is equivalent to 5 (tens)
Than,add 2+4 in the ones place that is equal to 6.
The 4 in the hundred doesn't change so just put the puzzle together.
You get 456 as the sum.
Answer:
$8,430.23
Explanation:
From the statement of the problem:
• The principal amount = $8,000
,
• Interest Rate = 5%
,
• Compounding Period = 12 (Monthly)
The compound interest formula is given as:
Using the compound period formula, we first, calculate the amount in her account at the end of 1 year.
This means that the interest she made during the first year is:
Next, calculate the amount in her account at the end of the second year.
Since she paid back all the interest she made during the first year, the amount Diana was left with is:
Diana was left with $8,430.23.