Answer:
The number of <u>dimes are 100</u> and number of <u>quarters are 140.</u>
Step-by-step explanation:
Let the number of dimes be 'd' and quarters be 'q'.
Given:
The sum of amount is $45.
The total number of coins are 240.
1 dime = $0.10
∴ 'd' dimes = ![\$0.10d](https://tex.z-dn.net/?f=%5C%240.10d)
1 quarter = $0.25
∴ 'q' quarters = ![\$0.25q](https://tex.z-dn.net/?f=%5C%240.25q)
Now, as per question:
![d+m=240-----1\\0.1d+0.25q=45---2](https://tex.z-dn.net/?f=d%2Bm%3D240-----1%5C%5C0.1d%2B0.25q%3D45---2)
Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:
![-0.1d-0.1q=240\times -0.1\\-0.1d-0.1q=-24\\0.1d+0.25q=45\\-----------\\0.15q=21\\q=\frac{21}{0.15}=140\\\\d=240-q=240-140=100](https://tex.z-dn.net/?f=-0.1d-0.1q%3D240%5Ctimes%20-0.1%5C%5C-0.1d-0.1q%3D-24%5C%5C0.1d%2B0.25q%3D45%5C%5C-----------%5C%5C0.15q%3D21%5C%5Cq%3D%5Cfrac%7B21%7D%7B0.15%7D%3D140%5C%5C%5C%5Cd%3D240-q%3D240-140%3D100)
Therefore, the number of dimes are 100 and number of quarters are 140.
Answer:
The ribosomes are the organelles in which the proteins are made. Except for red blood cells (RCBs), all the other cells in the body make protein as each cell is made up of protein. The DNA present in the nucleus instructs the ribosomes in the cells to synthesize proteins.
Step-by-step explanation:
Answer:
5 3/4
Step-by-step explanation:
So, lets add the whole numbers together and the fractions together.
2+3=5
3/12+5/12=8/12
8/12 can be simplified to 3/4
so 5 3/4
(Please give brainliest if this helped you, I'm trying to get an achievement)
Answer:
Step-by-step explanation:
"of" means "times"
⅔ of 24 = ⅔ × 24 = 48/3 = 16