For this case we have the following solution.
x = gallons of water to be added
For the 10% solution we have:
0.1 * 8 = 0.8
Then, for 5% we have:
(0.8 / x + 8) = 0.05
Rewriting:
(0.8 / x + 8) = (5/100)
Answer:
An equation can be used to find x, the humber of gallons of water he should add is:
(0.8 / x + 8) = (5/100)
Answer: 2 and 2/3
Step-by-step explanation: In this problem, we have 2/3 ÷ 1/4.
Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the divison sign to multiplication and flip the second fraction.
So here, 2/3 ÷ 1/4 can be rewritten as 2/3 × 4/1.
Now we are simply multiplying fractions so we multiply across the numerators or top number number and multiply across the denominators or bottom numbers.
8/3 can be converted into a mixed number by dividing the denominator of the fraction into the numerator of the fraction.
3 divides into 8 2 with a remainder of 2 times so our whole number will be 2 and our new numerator will be 2 as well. We will put this over our original denominator which is 3. Now we have 2 and 2/3.
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 13² + 4² = 169 + 16 = 185 ( take the square root of both sides )
x =
≈ 13.6 ( to 1 dec. place ) → B
Fourteen million, three hundred seventy six thousand, three hundred thirty three