Answer:
8 slices
Step-by-step explanation:
According to the given situation, the data is as follows
F = unknown number of fruits
Number of fruits ate = 7 slices
Total number of fruits = 15 slices
Here the equation that should be used is
7 slices + x = 15 slices
So, the x is
= 15 slices - 7 slices
= 8 slices
Basically we deduct the both the slices so that the difference between them could come and the same is to be considered
0.09 : 0.27
=9/100 : 27:100
=9 : 27
=1 : 3
Hope my answer helped u :)
Answer:
No solution
Step-by-step explanation:
Because BDC is 20, and DC = DB, DBC is also 20 degrees. ABD would then be 160 since DBC and ABD has to equal 180. You know ADB is 35 so 160 + 25 + x has to equal 180. But 160 + 25 is already 185, and x can't be negative, so no solution.
Answer:
Age of Mark is 25 years.
Step-by-step explanation:
Let the current age of Mark = x years
After 20 years, age of Mark=(x+20) years
10 years ago,age of Mark was (x-10) years.
In 20 years Mark will be three times as old as he was 10 years ago.
=> ![\[(x+20) = 3*(x-10)\]](https://tex.z-dn.net/?f=%5C%5B%28x%2B20%29%20%3D%203%2A%28x-10%29%5C%5D)
=> ![\[(x+20) = 3x-30\]](https://tex.z-dn.net/?f=%5C%5B%28x%2B20%29%20%3D%203x-30%5C%5D)
=> ![\[(3x-x) = 30+20\]](https://tex.z-dn.net/?f=%5C%5B%283x-x%29%20%3D%2030%2B20%5C%5D)
=> ![\[(2x) = 50\]](https://tex.z-dn.net/?f=%5C%5B%282x%29%20%3D%2050%5C%5D)
=> ![\[x = \frac{50}{2}\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%20%5Cfrac%7B50%7D%7B2%7D%5C%5D)
=> ![\[x = 25\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%2025%5C%5D)
<span>To produce 1000L of mixture the factory will need 657 liters of grade A and 343 liters of grade B. To determine this you have to figure out the percentage of each grade in the mixture. The ratio is 2.3 liters to 1.2 liters. Therefor in this scenario the unit equaling 100% is 3.5 liters. To find the percentage of grade A you divide the amount used by the total amount of the unit 100%:
2.3 divided by 3.5 = .657 (multiply the answer by 100 to get 65.7%).
To find the percentage of grade B you divide the amount used by the total amount of the unit 100%:
1.2 divided by 3.5 = .343 (multiply the answer by 100 to get 34.3%)
To test your answer make sure both percentages add up to 100%:
65.75 plus 34.35 = 100%
To determine how much of grade A and grade B is needed for a set amount of liters you multiply the percentage by the liters needed.
For this situation you multiply 65.7% (when multiplying percentages you need to multiply in decimal form).
For grade A you multiply .657 (65.7%) by 1000 liters = 657 liters
For grade B you multiply .343 (34.3%) by 1000 liters = 343 liters
To test your answer you can use the same addition as you did to test the percentages:
657 liters plus 343 liters = 1000 liters</span>