Answer: Third option.
Step-by-step explanation:
By definition, the number 64 and the number 9 are perfect squares.
A perfect square it that number obtained by squaring a whole number.
In this case, 64 is obtained by squaring the number 8 and the number 9 is obtained by the squaring the number 3. Then:
Therefore, you can rewrite the expression as following:
This matches with the third option.
If you are referring to the common factors:
Factorize both numbers:
48 = 2*2*2*2*3
120 = 2*2*2*3*5
Common factors: 1, 2, 3, 4, 6, 8, 12, 24
If you are referring to factors in general:
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Answer:
1. Both Dan and Tess are correct.
Tess:
0.15 * 24.50 = 3.675
24.5 - 3.675 = 20.825
0.1 * 20.825 = 2.0825
20.825 + 2.0825 = 22.9075
Dan:
0.85 * 24.50 = 20.825
20.825 * 1.1 = 22.9075
Both Dan and Tess used methods that provided the correct answer. Both methods follow the same path, but Dan's method simply took less steps since he used percentages that would take out the correct number, unlike Tess' percentages which would give you the number that you would then need to take out.
2. First, convert Amy's and Mike's numbers to a decimal of the whole so it is easier to compare the numbers.
13% = 0.13 of the whole
Dan has 0.14 of the whole
0.5/6 = 0.083.. of the whole
Dan used the greatest amount of milk, using 0.14 of the 6 gallon container.
3.
2p + 12 = 58 | Create an equation to show the prices relations
2p = 46 | Take out the price of the concert ticket to leave us with the passes.
p = 23 | Divide by 2 to find the cost of each pass.
4.
x ≤ (18 - 6.5 - 5.75)/1.15
18 - 6.50 = 11.5 | Take out the price of the notebook from the total.
11.5 - 5.75 = 5.75 | Take out the amount of money that she wishes to save.
5.75 / 1.15 = 5 | Divide by the price of each candy to find the max amount that she can buy.
Andrea has enough money to buy up to 5 candy bars.
x ≤ 5
Answer:
After 10 months, the loan and value of the car will both be equal to $7,500.
Step-by-step explanation:
Value of the loan after x months:
Value of the car after x months:
Which statement describes when Melinda’s loan will be equal to the value of the car?
They are equal when:
So
Equal after 10 months:
Value of
Thus, the correct option is:
After 10 months, the loan and value of the car will both be equal to $7,500.
X is equal to 1
hope it helps