Answer:
Adult tickets =125
Child tickets = 128
Step-by-step explanation:
Let the number of adult and children tickets sold be x and y respectively
So that
x+y= 253--------1
Since total sales/receipt is $2,771
And given that tickets for a dance recital cost $15 for adults and $7 for children hence
15x+7y= 2771-------2
Solving equation 1 and 2 simultaneously we have
x+y= 253---------------1
15x+7y= 2771----------2
Let us multiply equation 1 by 15 to get equation 3 to eliminate x and subtract equation 2 from 3
15x+15y=3795---------3
-{15x+7y= 2771----------2
0+8y=1024
8y= 1024
y= 1024/8
y= 128 tickets
So solve for x let us put y= 128 in equation 1
x+ 128=253
x=253-128
x= 125 tickets
Answer:
14x - 8 = 22 + 20x
x = -5
Step-by-step explanation:
Let "the number" be represented by x
Take each part of the statement and translate into algebraic form
"14 times a number" 14x
"decreased By eight" -8
"is" =
"22 Increased by" 22 +
"20 times The same number" 20x
Put the equation together. Solve for x by isolating.
(
14x - 8 = 22 + 20x
14x - 8 - 20x = 22 + 20x - 20x Subtract 20x from both sides
-6x - 8 = 22
-6x - 8 + 8 = 22 + 8 Add 8 to both sides
-6x = 30
-6x ÷ -6 = 30 ÷ -6 Divide both sides by -6
x = -5
<span>Given that the average
time it takes to replace a defective car radiator is 70 minutes with a
standard deviation of 12 minutes.
The 90% confidence interval of a random
sample of 50 is given by
</span>
