Answer:
There are 32 dimes and 25 quarters.
Step-by-step explanation:
q + d = 57 or q = 57 - d
25q + 10d = 945
substitute first equation into second equation:
25(57 - d) + 10d = 945
1425 - 25d + 10d = 945
-15d = -480
d = -480/-15 = 32
using first equation:
q = 57 - 32 = 25
check using second equation:
25(25) + 10(32) = 945 checks
The answer to your question is “D”
Btw you can use DESMOS for future questions like this
Answer: 17/18
In words, this is seventeen eighteenths
==========================================
Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
----------------
note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
I honestly don't understand
Answer:

General Formulas and Concepts:
<u>Pre-Algebra I</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Midpoint Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
R (9, 3)
S (-1, -9)
<u>Step 2: Find midpoint</u>
- Substitute:

- Subtract:

- Divide:
