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LenaWriter [7]
3 years ago
14

On a final exam, 75 percent of a class had scores that were greater than 70, and 60 percent of the class had scores that were le

ss than 85. What percent of the class had scores that were greater than 70 but less than 85 ?
Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0

Answer:

The answer is 35.

35% of the class had scores that were greater than 70 but less than 85.

Step-by-step explanation:

Let's assume the number of students in the class =100

If 75% of the class scored greater than 70, then, it means 25% (100-75) of the scores were less than or equal to 70

In other words, 25 scores were less than or equal to 70.

If 60% of the class had scores that were less than 85, then, it means 40%(100-60) of the scores were greater than or equal to 85

Therefore, of the 100 scores, 25 scores were LESS THAN OR EQUAL to 70, and 40 scores were GREATER THAN OR EQUAL to 85.

We've now accounted for 65 (25+40) scores, which means the remaining 35 (100-65) scores must be between 70 and 85.

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Alecsey [184]
6x−12+2x=3+8x−15

Simplify:

6x+−12+2x=3+8x+−15

(6x+2x)+(−12)=(8x)+(3+−15)(Combine Like Terms)

8x+−12=8x+−12


8x−12=8x−12

Subtract 8x from both sides.

8x−12−8x=8x−12−8x

−12=−12

Add 12 to both sides.

−12+12=−12+12

0=0

The real numbers are the only solution we can have.


4 0
3 years ago
What is the quotient of (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)? x + 2 x – 2 x + 10 x + 6
evablogger [386]

Answer:

x + 2

Step-by-step explanation:

If we know one of the factors, we should be able to use long division.

We can divide the trinomial by the binomial and find the other factor.

                 <u>x  +  2</u><u>                   </u>

x² + 4x + 3)x³ + 6x² + 11x + 6

                  <u>x³ + 4x² + 3x</u>

                         2x² + 8x + 6

                         <u>2x² + 8x + 6</u>

                                           0

Thus,

\dfrac{x^{3} + 6x^2 + 11x + 6} {x^{2} + 4x + 3} = \mathbf{x + 2}

6 0
3 years ago
Find the greatest common factor 7x^3a+7x^2a^2
muminat

Answer:

7x^2a

Step-by-step explanation:

7x^3a+7x^2a^2

7x^3a = 7 xxxa

7x^2a^2= 7 xxaa

The common terms are 7xxa

7x^2a

This is the greatest common factor

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Answer:

The slope is 24

Step-by-step explanation:

Use any two points in the graph to find the slope of the graph
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Step 1. Use two points

Ex: (10, 320) & (5, 200)

Step 2. Find the slope using the two points

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

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m = -120/-5

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The slope of the graph/line is 24
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E = $40,000 + $200c
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