anonymous one year ago WILL FAN AND MEDALLL PLZZZ HELPPP!! Which of the following correctly uses absolute value to show the distance between –70 and 13? A) |–70 – 13| = |–83| = –83 units B) |–70 – 13| = |–83| = 83 units C) |–70 + 13| = |–57| = 57 units D) |–70 + 13| = |–57| = –57 units

1. anonymous

To find the distance between any two numbers, you subtract one number from another.

2. anonymous

In this case, your first number is -70 and your second number is 13.

3. anonymous

$-70 - 13$ is the only correct subtraction expression, so you can eliminate C and D.

4. anonymous

Okay so u would subtract -70 - 13? @math1234

5. anonymous

Correct, now since you want to find the "distance" between two numbers, you take the absolute value of their difference.

6. anonymous

So is the answer B? @math1234

7. anonymous

An absolute value expression by definition is defined as follows: $\left| \pm x \right| = x$

8. anonymous

Yes, its B.

9. anonymous

Thanks :) Can you help me with one more question? I will give u a medal? @math1234

10. anonymous

11. anonymous

Jinni opened a bank account. She deposited $87.60 into her account every month for 10 months. She used$25.60 every month to pay for music classes. After 10 months, she used 1 over 4 of the total money left in her account to go to a summer camp for musicians. What is the total amount of money Jinni spent to go to the summer camp? A) $64.00 B)$88.00 C)$155.00 D)$620.00

12. anonymous

@math1234

13. anonymous

Ok, first begin by writing the algebraic expression for this problem.

14. anonymous

Jinni deposited money for 10 months. In total, she must have deposited $10 \times 87.60$

15. anonymous

Okay so far its $876 right? @math1234 16. anonymous However, Jinni spends$25.60 each month. So her remaining balance after 10 months is $10 \times (87.60 - 25.60) = 10 \times 62.00 = 620.00$

17. anonymous

Yes correct. I just subtracted the monthly expenses too.

18. anonymous

So the answer will be D?

19. anonymous

Now of that $620.00 in her remaining balance, she spends a quarter of that. How much did she really spend? 20. anonymous Look a more carefully at the question, she spends 1 over 4 of her remaining money. 21. anonymous Okay so would u divide? 22. anonymous Yes, you should divide$620.00 by 4.

23. anonymous

So its C? @math1234

24. anonymous

Correct.

25. anonymous

Thanks for ur help :) @math1234