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nasty-shy [4]
3 years ago
11

Does anyone know the answer to this ?

Mathematics
1 answer:
alekssr [168]3 years ago
7 0

The answer I think is B

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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
Rainbow [258]

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

3 0
2 years ago
How is 1/5 changed to a decimal​
Ksenya-84 [330]

Answer:

just divide 1/5 by 100 and you should get it

Step-by-step explanation:

3 0
3 years ago
Find the Perimeters of the rectangle whale<br>degonal is 5cm and lenght is 4cm ​
amid [387]

Answer:

14

Step-by-step explanation:

First, we have to get the breadth value.

By the pythagoras theoreom,

Diagonal²=length² + breadth²

breadth = √( Diagonal²- length²)

breadth = √( 5² - 4²)

breadth = √9

breadth= 3

Perimeter of a rectangle = 2x ( length + breadth)

                                         = 2 x (  4 + 3)

                                         = 2 x 7

                                         = 14

3 0
3 years ago
Larger two degit number is --------
yarga [219]

Answer:

99

Step-by-step explanation:

Brainliest please

3 0
2 years ago
Read 2 more answers
Y= 5x + 13 <br> and<br> y= x + 45
arsen [322]

Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

  • y=5x+13
  • y=x+45

Find x:

  • the two equation, the x and are breaked apart..
  • so find a number that they can both equal to together and has the same y.
  • multiply by 8..
  • 5·8=40
  • combine the terms for x and 13
  • 40+13=53
  • since x is 8 then if we add 8 with 45 it should be 53...
  • 8+45=53

y is:

  • this means that y=53.

Therefore, x=8 and y=53..

7 0
2 years ago
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