You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.
Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions
Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions
x+y=24
Subtract y from both sides
x=24-y
Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14
Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
x=10
So there are 10 three point questions
There are 14 five point questions.
Hope this helped! :)
Answer:Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b
Step-by-step explanation:
With
a standard deviation of 6 minutes, we will test the hypothesis that σ = 6
against the alternative that σ < 6 if a random sample of the test
times of 20 high school seniors has a standard deviation s = 4.51. use a
0.05 level of significance.
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<h2>
Answer:</h2>
PART A:
$ 1.80558
PART B:
$ 27.59958
<h2>
Step-by-step explanation:</h2>
- The price of an all-access ticket to the fair is $42.99 before tax.
Also,
- Roland bought the all-access ticket for 40% off.
i.e. he will have to pay (100-40)%=60% of the amount of the actual ticket.
This means that the price of ticket after the offer will be:
Hence, discounted price=$ 25.794
- Now, Ronald has to pay 7% sales tax on the discounted price.
i.e.
he has to pay 7% tax on 25.794
i.e.
PART A:
Hence, the amount of sales tax=$ 1.80588
PART B:
The total amount that he will pay for the ticket is:
Amount of tax+Discounted price
= 1.80558+25.794
= $ 27.59958
