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blagie [28]
3 years ago
7

For which equations below is x = –3 a possible solution? Check all that apply.

Mathematics
1 answer:
Fiesta28 [93]3 years ago
6 0
|x|=3, |-x|=3, -|x|=-3. You can check each of the options one by one. First notice that the absolute value of some number can never be negative, so eliminate b, d and f. |-3|=3. |-(-3)|=|3|=3. -|3|=-3. So these three solutions are all correct answers.
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3 years ago
sally has 20 coins in her piggy bank,all dimes and quarters. The total amount of money is $3.05. How many of each coin does she
Dafna11 [192]
Let d = number of dimes, q = number of quarters 

<span>Sally has 20 coins in her piggy bank, so </span>
<span>d + q = 20 </span>

<span>The total amount of money is $3.05. </span>
<span>Use the value of each coin multiplied by its number to get total value </span>
<span>.10d + .25q = 3.05 </span>
<span>multiply everything by 100 to clear the decimal places </span>
<span>10d + 25q = 305 and </span>
<span>d + q = 20 </span>

<span>solve the second equation above in terms of either d or q - lets do d </span>
<span>d = 20 - q </span>
<span>sub that into the first equation </span>
<span>10d + 25q = 305 </span>
<span>10(20 - q) + 25q = 305 </span>
<span>200 - 10q + 25q = 305 </span>
<span>15q = 105 </span>
<span>q = 105/15 = 7 </span>
<span>and from above </span>
<span>d = 20 - q = 20 - 7 = 13 </span>

<span>so, there are 13 dimes and 7 quarters </span>
<span>verify with orig problem </span>
<span>13 + 7 = 20, OK, and $1.30 + $1.75 = $3.05 
</span>
5 0
3 years ago
Read 2 more answers
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