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34kurt
3 years ago
5

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Mathematics
1 answer:
Sliva [168]3 years ago
7 0
Remark. The easiest way to solve this is to make the coefficients of one of the letters = to the same coefficient in the other equation

Set up and solve
x + y = 24
3x + 5y = 100   Multiply the first equation by 3
<u>3x + 3y =   72  </u> Subtract
2y =           28   Divide by 2
y   =           28/2
y   =           14  <<<<<<  Answer for y

Step 2
Solve for x
x + y = 24
x + 14 = 24    Subtract 14 from both sides.
x = 24 - 14
x = 10  <<<<Answer for x

Check to see if it works.

3x + 5y = 100
3*10 + 5*14 = 100
30 + 70 = 100        Checks.

There are 10 three point  question
There are  14 five point questions. 
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All of them plz btw look at my other answer to see to data
torisob [31]
For the first question, you have to subtract the Panther's length from the Crocodile's length. BUT there is a problem with this since you CANNOT subtract two fractions if their denominators are NOT the same.

To fix this issue you have to make them the same, which you can do by finding their "equal denominator". To find the "equal denominator" you have to multiply both fraction's denominators till they both end up the same.

Take the panther's fraction for instance, 1/2.
Multiply 1/2's denominator by 2 and you get 1/4, but, this changes the fraction's meaning, so you have to multiply the numerator by the same number as well, which is 2 in this case.

You should end up with the panther's fraction being 2/4, and just remember, this number means the same thing as 1/2 when simplified.

Both denominators are now the same, so now you can finally subtract both fractions. But you can't subtract denominators, remember that! You should end up with 4 1/4, that is the first answer.

Repeat those steps for the 2nd question.

For number 3, you need to add both fractions together, but in this case, you STILL need both denominators to be the same. So, multiply the fractions until each denominator is the same. And remember, you can't add or subtract denominators, but however, you can multiply and divide them!

You should end up with 4 5/4. BUT this is not the answer! 5/4 is not a fraction in it's simplest form. To simplify, in this case, you would subtract 4 from that 5, and add one to the whole number, 4. Why did we do this?

Think of the denominator (the bottom number in a fraction) as being a whole number for the numerator (the top number in a fraction). Let's say the numerator is a 2 and the denominator a 5. The numerator has 2 pieces of that "whole" (the 5), so when the numerator reaches a 5, you get a WHOLE NUMBER. If the numerator is ABOVE 5, you still get a whole number but you have "excess" left over, that "excess" will become the remaining numerator.

So, your final answer should be, for this question, 5 1/4.

For question number 4 repeat the same steps in questions 1 and 2.

Question 5 is a little more complex than number 3 but it's actually very easy to do, just repeat the steps in question 3.

Question six is the same as number 5.

I hope I helped! If you have any more question don't be afraid to ask! ^u^
5 0
3 years ago
Read 2 more answers
Dominique and Ella are comparing
erica [24]
Dominique and Ella are comparing
whose jet traveled faster. The graph
shows the relationship between the
total distance Dominique traveled
and the time in hours. The distance Time (1)
Who, if anyone, traveled at a faster
speed? Explain. i hope this helps you.
4 0
3 years ago
Suppose Becky invests in an annuity that pays 4.3% annual interest, compounded monthly and contributes $225 every month for 20 y
aleksklad [387]

Answer:

$85365.90

Step-by-step explanation:

Let's start by finding the effective rate of interest

.043/12=.00385333

225*\frac{(1+.00385333)^{20*12}-1}{.00385333}=85365.89513

4 0
3 years ago
A circle has a diameter of 10 inches. Which expression could be used to find the area of the circle?
Alex777 [14]
The area would be expressed as 2( pie ) ( 5 ) !
8 0
3 years ago
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What is 116.37 to the nearest foot.?
tatuchka [14]
I'm assuming you're meaning 116.37 inches. 116.37 in = 9.6975 feet

Answer = 10 feet
3 0
3 years ago
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