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
Marrrta [24]
2 years ago
10

A student scored 75 and 97 on her first two quizzes. Write and solve a compound inequality to find the possible values for a thi

rd quiz score that would give her an average between 85 and 90, inclusive.

Mathematics
1 answer:
Rainbow [258]2 years ago
3 0

Answer:

85 \le \frac{75 + 97 + n}{3} \le 90; 83 \le n \le 98

Step-by-step explanation:

Score of the first two quizzes: 75 and 97

Let n represent the third score

Average score would be: \frac{75 + 97 + n}{3}.

Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:

85 \le \frac{75 + 97 + n}{3} \le 90

Solve for n in each statement that makes up the compound inequality:

85 \le \frac{75 + 97 + n}{3}

85 \le \frac{172 + n}{3}

Multiply both sides by 3

85*3 \le 172 + n

255 \le 172 + n

Subtract 172 from each side of the inequality

255 - 172 \le n

83 \le n

Also,

\frac{75 + 97 + n}{3} \le 90

\frac{172 + n}{3} \le 90

Multiply both sides by 3

172 + n \le 90*3

172 + n \le 270

Subtract 172 from both sides of the inequality

n \le 270 - 172

n \le 98

Combining both together, the possible values of her third quiz score would be:

83 \le n \le 98

You might be interested in
15 more than twice a number
coldgirl [10]

Answer:

15×2x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
pens and pencils are sold in a shop. 12 pencils cost £1.80. the ratio of the cost of a pen to the cost of a pencil is 7: 3. work
luda_lava [24]

Answer:

£2.10

Step-by-step explanation:

1.80 divided by .12 = .15

.15 times 7 = 1.05

1.05 divided by 3 = .35

.35 times 5 = 2.10

8 0
3 years ago
What is the area of this figure?
dimulka [17.4K]
59.5 cm2 is the answer.
7 0
3 years ago
Read 2 more answers
Find c. Round to the nearest tenth
sergeinik [125]

Answer:

c = <u>0.5 cm</u>

Step-by-step explanation:

Using the Sine rule in the triangle, then

=  ( cross- multiply )

c × sin105° = 2 × sin15° ( divide both sides by sin105°

c =  ≈ 0.5 cm ( to the nearest tenth )

8 0
3 years ago
Please help me :) ....
kvasek [131]
It’s c) XS, i love your pfp btw!! :)
8 0
2 years ago
Other questions:
  • Jessica has 7 times as many paint brushes as Mike. Mike has 14 paint brushes. How many paint brushes p, does Jessica have?
    7·1 answer
  • Sam loves to read. The longest time it ever took her to finish a book was 23 hours. The shortest time was 1 hour and 5 minutes.
    10·2 answers
  • Simplity the equatur<br> Plug in your answer to double check<br> 4.90 = 10 (x - 12)
    11·1 answer
  • Good guys will pay you $3,800 a year for 10 years in exchange for $31,300 today. what interest rate will you earn on this annuit
    15·1 answer
  • Y= 7/9× + 5/2. What is the slope of the line ?
    9·1 answer
  • Monthly budget- Total income 2910. 52 Mortgage 1100, childcare 682, Electric 200, phone 188, cable/tv 190. 76, food and grocerie
    6·1 answer
  • What's an expression with a value of 12
    9·2 answers
  • Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs
    12·2 answers
  • Help me please with this I will give brainliest
    15·1 answer
  • Which graph represents the following piecewise defined function?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!