Answer:
<h2>y = 2.8</h2><h2>x = 14</h2>
Step-by-step explanation:
To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.
10y = 5y + 14
First, we need to get all the variables on one side of the equation, so we subtract 5y.
5y = 14
Divide by 5
y = 14/5 or 2 4/5 or 2.8
Now for the x part.
2x = x + 14
Subtract 1x
x = 14
Now we check our answer.
2(14) = 5(2.8) + 14
28 = 14 + 14
28 = 28
Because 28 equals 28, our solutions are correct.
Answer:
100 customers
Step-by-step explanation:
Note that when you say "The probability that a customer receives a $25 gift card is 19", I assume you mean 1/9, not 19 because probability cannot exceed 1.
There are 900 reward cards in total, which means 900 customers have a chance to receive a reward. Out of these 900 customers, 1/9 of them receive a $25 gift card, so in order to find how many receive a gift card, we do:
(1/9) * 900 = 100
Thus, 100 customers receive a $25 gift card.
