ANSWER:
She should use 30 ounces of water and 180 ounces of 35% salt.
SOLUTION:
First, let us set up a table and fill in the unknowns with variables x and y.
component Unit Value Amount( ounces) value
0% salt 0.0 x 0.0x=0
35% salt 0.35 y 0.35y
Total Mixture 0.3 210 0.3×210=63
From this, we can easily set up the two equations.
Sum of values of two salts = Value of mixture
0x+0.35y = 63 ................(1)
0.35y = 63
y = 180
Now,
Sum of amounts of each salt = Amount of mixture
x + y = 210 ---------> (2)
so, put y = 180 in (2)
x + 180 = 210
x = 210 – 180
x = 30
Hence, she should mix 30 ounces of water and 180 ounces of 35% salt.
Answer:
<h2>The perimeter of the figure is 50 feet.</h2>Step-by-step explanation:
The trapezoid is attached.
Remember, the perimeter is the sum of all sides. But, in this case, we don't know the lenght of all sides. So, we need to find them.
Notice that the missing side on the left is congruent to the vertical leg of the right triangle. So, we use the Pythagorean Theorem to find it. Also, observe that the horizontal leg of the right triangle is 6 feet long.
Now, we can sum all sides to find the perimeter
Therefore, the perimeter of the figure is 50 feet.
