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Lemur [1.5K]
3 years ago
12

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:
Brilliant_brown [7]3 years ago
6 0
The solution to the system of equations is (x, y) = (10, 14), where x is the number of 3-point questions and y is the number of 5-point questions. The appropriate choice is ...
  The test contains 10 three-point questions and 14 five-point questions. (2nd selection)

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.<br> A. 139<br> B. 147°<br> C. 155<br> D. 157<br> PLEASE HELP ASAAAPP!
enyata [817]

Answer:

\huge\boxed{157 \ \ \text{degrees}}

Step-by-step explanation:

In order to find the value of ∠EFB here, we have to note our angle relationships.

We know that ∠CFE is already 90°. We also know that ∠CFA is 90°. Angle ∠AFB is inside ∠CFA. Since we know the measure of ∠AFB, we can find the measure of ∠BFC.

23 + x = 90\\\\x = 90-23\\\\x = 67

Now that we know ∠CFE and ∠BFC, which together make ∠BFE, we can add these angles up.

90+67=157

Hope this helped!

5 0
3 years ago
I am wondering Jake finished race at 24.53 18.44 Lacie finished the race at 18.44. What is the difference between Lacie's time a
Dvinal [7]

Answer:

The difference between the times is just 6.09

Step-by-step explanation:

Here, we are interested in finding the difference between the times when two athletes finished their races.

While one finished at 24.53, the other finished at 18.44; So the difference between the two will be calculated by subtracting the time which was less from the time which was more;

Mathematically, that would be 24.53 - 18.44 = 6.09

4 0
2 years ago
Find the length of the diameter of circle 0
r-ruslan [8.4K]

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

5 0
1 year ago
Which of the following would be equivalent to 92 ⋅ 96? 9 to the 8th power over 9 to the 7th power 92 ⋅ 97 9 to the 10th power ov
san4es73 [151]
9^2 × 9^6=9^10/9^2

When multiplying exponents, if the bases are the same you add the exponents.
9^2 × 9^6 = 9^(2+6)=9^8

When dividing exponents, I'd the bases are the same you subtract the bottom exponent from the top.
9^10/9^2=9^(10-2)=9^8

9^8=9^8

Solution: 9^10 over 9^2
3 0
3 years ago
Read 2 more answers
Please help with this one question that I've been stuck on!!! In a random sample of 74 homeowners in a city, 22 homeowners said
sammy [17]
Niki MANAJ lolllllllll
3 0
2 years ago
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