Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
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Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
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Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
Answer:
His sales that week were $2,160.
Step-by-step explanation:
First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:
$432-$324=$108
Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:
5% → 108
100% → x
x=(100*108)/5=2160
According to this, the answer is that his sales that week were $2,160.
Answer:
Y = 300 + 2X
Y( in dollars)
It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.
Step-by-step explanation:
Given:
Annual fixed due = $300
Variable cost = $2 per visit
X = number of visits in a year
Y = total yearly cost.
Y = annual cost + variable cost
Y = $300 + $2×X
Y = 300 + 2X
Y( in dollars)
It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.
Answer:
A is y-4 x-4
B is y-3 x-2
C is y-1 x-2
D is y-1 x-4
Step-by-step explanation:
look at where they are lined up from y to x
Answer:
line 3
Step-by-step explanation: