Answer:
- 26 ounces of 55% solution
- 104 ounces of 80% solution
Step-by-step explanation:
Let x represent the quantity of 80% solution. Then 130-x is the amount of 55% solution. The total amount of salt in the mix is ...
0.80x +0.55(130 -x) = 0.75·130
0.25x = 0.20·130 . . . . . . . subtract 0.55(130)
x = 0.20/0.25(130) = 104
130-x = 26
She should use 26 ounces of 55% solution and 104 ounces of 80% solution.
Answer:
288J
Step-by-step explanation:
recall the formula for kinetic energy
KE = (1/2) mv²
where m is the mass (= 4kg) and v is the velocity(=12 m/s)
hence
KE = (1/2) (4)(12)² = 288J
Answer:
Step-by-step explanation:
a₁₂ = a₁r¹²⁻¹ = -15×6¹¹
Cube both sides
remember PEMDAS
parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
The height is 4.472
Step-by-step explanation:
That formula is Heron's formula.
Where "s" is calculated like this:
s = (a + b + c) / 2
In this case:
a = 14
b = 12
c = 6
replacing:
s = (14 + 12 + 6) / 2
s = 16
Now we calculate the area:
A ^ 2 = 16 * (16−14) * (16−12) * (16−6)
A ^ 2 = 1280
A = 35.777
The area of the triangle is:
A = b * h / 2
In this case we will take the base as the longest side of the triangle, that is to say = 14
Thus:
h = A * 2 / b
h = 35.777 * 2/16
h = 4.472
So the height is 4.472
