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Alenkasestr [34]
3 years ago
12

Beth swam laps to raise money for a charity. Beth raised $15 plus $0.65 per lap that she swam. She raised a total of $80.

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

The expression you would use is 15 + .65x = 80. If you solve for x, Beth swam 100 laps.

Hope its correct and good luck :)

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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
3 years ago
When factored completely, the expression 3x2 - 9x + 6 is equivalent to
Lunna [17]
Let's see what the options look like when we multiply the expressions in brackets:

(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
<span>(1) (3x - 3)(x - 2))

3x2 +6x -3x +6// this is not correct

(2) (3x + 3)(x - 2) </span>


3x2-6x+3x-6//this is not correct

(3)

3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
- so this is not correct either
(4) 3(x - 1)(x - 2)
3(x2-2x - x + 2)
3(x2-3x +2)
3x2-9x +6 - well, here is our winner!






8 0
4 years ago
Read 2 more answers
Here 1 more than BIG PRIZE
Firlakuza [10]
Hey there! :D

Use the distributive property.

a(b+c)= ab+ac

6(9x+2)+2x

54x+12+2x

56x+ 12 <== equivalent expression

I hope this helps!
~kaikers
4 0
3 years ago
Use unit rate to find the unknown value: 2/8 = 7/? <br> 1. 56<br> 2. 4<br> 3. 28<br> 4. 24
bezimeni [28]

Answer:

I believe the awnser is 3

4 0
3 years ago
5y-2x=4(solve for y) solve step by step
Hoochie [10]

Your answer will be y= 4/5

4 0
4 years ago
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