1) We need to find, what is the smallest number, when the number of plates and cups are going to be the same. Cups come in packages of 12, and plates come in packages of 10. That means that we need to find least common multiple for 12 and 10.
12=2*2*3
10=2*5
Least common multiple = 2*2*3*5= 60
Number of cups should be =60, and number of plates should be = 60 also.
2) 60 : 12 = 5 packages of cups
60 : 10 = 6 packages of plates.
3) 5*3=15 ($) Tia expect to pay for cups.
6*5=30($) Tia expect to pay for plates.
4) 15 + 30 = $ 45 Tia expect to pay for cups and plates.
Answer:
<h2>This is not a direct variation.</h2>
Step-by-step explanation:
Direct variation:
<em>mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.</em>
<em>(y varies directly with x with a constant variation of k)</em>
Answer:
$4000
Step-by-step explanation:
Assuming a = money invested at 9%
Assuming b = money invested at 8%
then we can form am equation from the question given
1) a + b = $10000, also
0.09a + 0.08b = $860 -> multiply by 100
2) 9a + 8b = $86000
Next we try to solve both equations simultaneously. We multiply both the left hand side and the right hand side of the first equation by 8. We have
3) 8a + 8b = $80000, now we subtract 3 from 2
9a + 8b = $86000
-8a - 8b = -$80000
a = $6000.
Then, we plug this in any of the first 2 equations, to get b
9 * $6000 + 8b = $86000
$54000 + 8b = $86000
8b = $86000 - $54000
8b = $32000
b = $32000/8
b = $4000.
Therefore, he invested $4000 at 8%
Answer:
The value of f(1) is A. 0
Step-by-step explanation:
In this question, when they ask what is the value of f(1), they want you to tell them what is the "y" coordinate of the point with the "x" coordinate equal to 1. In our case, the point with the "x" coordinate equal to 1 has the "y" coordinate equal to 0. Therefore, the value of f(1) is A. 0
Between 3 and 4 cups.
Let’s find 87% of 4.
(4)(0.87)= 3.48
So in 4 cups of milk, there is 3.48 cups of water, which is between 3 and 4 cups.
