Answer: 3.6 liters
Step-by-step explanation:
You know that:
- She uses 6 liters of fruit juice.
- She uses 0.6 as much sparkling water as fruit juice.
Therefore, let's call x the amount of fruit punch she made.
Keeping the above on mind, you can solve the problem by multiplying the 6 liter of fruit juice she uses by 0.6.
Therefore the result is:

Area of the trapezoidal bucket, A is 130x² - 77x - 36 cm²
Step-by-step explanation:
- Step 1: Area of a trapezoid = 1/2 (Sum of parallel sides) × Height
Sum of parallel sides = (10x - 2) + (16x + 10)
= 26x + 8 = 2(13x + 4)
Height = 10x - 9
⇒ Area of the bucket = 1/2 × 2(13x + 4) (10x - 9)
= (13x + 4)(10x - 9) cm²
= 130x² - 117x + 40x - 36
A = 130x² - 77x - 36
Answer:
-323.4375
Step-by-step explanation:
Eight *(a number) plus 5*(another number) is -13.
translates to:
8(x) + 5(y) = -13
The sum of (the number) and (the other number) is 1.
translates to:
(x) + (y) = 1
We have a system of two equations involving two unknowns: x and y.

We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.
We'll multiply the second equation by -8 so that the x's match up.

When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.

Divide by -3,

Plug back into one of your original equations to find the value of x,

Subtract 7,