Percentages are numbers that are units of 100
The value of 20% of 80 is 16
<h3>How to determine the percentage value</h3>
The model is not given.
However, the percentage value can still be calculated
The expression is given as:
Express of as product
Express 20 % decimal
Evaluate the product
16
Hence, 20% of 80 is 16
Read more about percentages at:
brainly.com/question/843074
9514 1404 393
Answer:
- 64 weeks
- 4 months
Step-by-step explanation:
1. Let y represent gallons in the tank, and x represent number of weeks.
<u>tank 1</u>
y = 256 -3x . . . . . starts with 256 gallons, loses 3 per week
<u>tank 2</u>
y = 384 -5x . . . . . starts with 384 gallons, loses 5 per week
The amounts in the tanks will be equal when the y-values are equal.
y = y
256 -3x = 384 -5x
2x = 128 . . . . add 5x-256
x = 64 . . . . . . divide by 2
The amount of water in the two tanks will be equal after 64 weeks.
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2. Let s and f represent the total cost of membership at Silver Gym and Fit Factor, respectively. Let x represent the number of months of membership.
s = 25 +30x
f = 65 +20x
The costs are the same when s=f.
s = f
25 +30x = 65 +20x
10x = 40 . . . . . . subtract 25 +20x
x = 4 . . . . . . . . . divide by 10
The two memberships will be the same price after 4 months.
Answer:
y = 5x
Step-by-step explanation:
14 x² + 6 x - 7 x - 3 =
= ( 14 x² - 7 x ) + ( 6 x - 3 ) =
= 7 x ( 2 x - 1 ) + 3 ( 2 x - 1 ) =
= ( 2 x - 1 ) ( 7 x + 3 )
Answer:
1. GCF of the group ( 6 x - 3 ) is 3.
2. The common binomial factor is 2 x - 1.
3. The factored expression is: ( 2 x - 1 ) ( 7 x + 3 ).
This problem can be converted into a linear algebra problem. The condition is that if the derminant below is not zero, then the system has one solution.
| k 1 1 |
| 1 k 1 | = k^3 - 3k + 2 = 0
| 1 1 k |
Solving for the roots, k = -2, and k = 1.
When k = 1, the three equations are the same so there are infinite solutions.
When k = -2, there are no solutions.
When k /= -2 and k /= 1, there is one solution.
