Answer:
Zahara need to add 4 quarts of water to keep the consistency the same
Step-by-step explanation:
Let
x -----> the amount of dry ingredients in quarts
y -----> the mount of water in quarts
we know that
Batch 1

Isolate variable y
----> equation A
Batch 2
For x=10
substitute in the equation A and solve for y
The ratio batch 2 is 
therefore
Zahara need to add 4 quarts of water to keep the consistency the same
Answer:
Step-by-step explanation:
<u>Let's factor the trinomial:</u>
- x² + 14x + 40 =
- x² + 4x + 10x + 40 =
- x(x + 4) + 10(x + 4) =
- (x + 4)(x + 10)
x + 4 is between the answer options
Correct option is D.
Let X & Y be the two integers
X+Y=18 Y = 18-X
XY = 80
We can substitute 18-X for Y in the equation XY = 80
X(18-X) = 80
Distributing
18X - X2 = 80
Subtract 80 from both sides so that the equation is equal to 0
-X2 + 18X - 80 = 0
Multiply (or divide by -1 so that the leading coefficient is positive, not negative)
X2 - 18X + 80 = 0
We can factor this quadratic
(X-10)(X-8) = 0
Setting each factor equal to 0 we can solve for X.
X-10 = 0 X-8 = 0
X = 10 X = 8
The two integers are 8 and 10.Answer:
Step-by-step explanation:
Answer:
C = 28.26 in
Step-by-step explanation:
the circumference (C) is calculated as
C = πd ( d is the diameter ) , then
C = 3.14 × 9 = 28.26 in
Answer: 
Step-by-step explanation:
Point-slope formula: 
Plug in the numbers: 
Clear the double negatives: 