1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kenny6666 [7]
3 years ago
9

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
2 answers:
wel3 years ago
6 0
X+y=24 so we can say

x=24-y making 3x+5y=100 become

3(24-y)+5y=100

72-3y+5y=100

72+2y=100

2y=28

y=14, since x=24-y

x=10

So there are 10 3-point questions and 14 5-point questions.
devlian [24]3 years ago
3 0

Answer:

The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

We are given that A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points

System of equations: x+y=24  --a

                                   3x+5y=100 --b

Where x denotes x is the number of 3-point questions and y is the number of 5-point questions

Now solve equation a and b by substitution method

Substitute the value of x from a in b

⇒3(24-y)+5y=100

⇒72-3y+5y=100

⇒72+2y=100

⇒2y=28

⇒y=\frac{28}{2}

⇒y=14

Substitute the value of y in equation a to get the value of x

x+14=24

x=10

Thus 10 is the number of 3-point questions.

14  is the number of 5-point questions.

Thus Option 2 is correct.

The test contains 10 three-point questions and 14 five-point questions.

You might be interested in
Find the length of rhombus whose diogonals are length 12 cm and 16 cm​
grin007 [14]

In ΔAOD  (AD)  =(AO)

2+(OD)

2   =36+64    AD

2 =100

  AD= 100

=10cm

 Rhombus has all sides equal

AB = AD = BC = CD = 10 cm

7 0
3 years ago
How many pounds is 2.7 kilograms?
Triss [41]
1 kg = 2.20462 lbs

so 2.7 kg = 2.7(2.20462) = 5.952474....rounds to 5.95 lbs
8 0
2 years ago
What is m in the simultaneous equation <br> M -n=1<br><br> M+n=3
Lady bird [3.3K]
The simultaneous equations is missing +8
8 0
2 years ago
Read 2 more answers
Jada jumped rope for 15 mins.. what percentage of diegos time is that? (diegos time is 20 mins)
8_murik_8 [283]

Answer:

103 percent

just divide 20 by 15 and multiply the answer by 100 to convert to percentage form bro

4 0
3 years ago
Can someone help me find X
bearhunter [10]

Answer:

x = 122 degrees

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • A 7-kilogram bag of lollipops costs $42.14. What is the unit price?
    6·1 answer
  • What is the value of this expression when d=3
    13·1 answer
  • Please help me name the pairs of vertical angles
    9·2 answers
  • Which description does NOT guarantee that a quadrilateral is a rectangle?
    13·1 answer
  • No thinks that 12,000 g is greater than 20 kg because 12,000&gt;20
    6·1 answer
  • Qué es una transformación trigonométrica?
    11·1 answer
  • What is the ratio of the people who prefer vanilla to the people who prefer strawberry?
    9·1 answer
  • Please help me, and have a great day!
    8·1 answer
  • Analyze the data sets below. Which of the following statements are true? Select all that apply.
    5·1 answer
  • How much on average did she make a week, if she worked 15 hours a week at $11/hour? (Rounded to the nearest whole dollar. Do NOT
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!