The answer is 3:11 and 3 to 11
Answer:
Altogether they made $24 which is enough to earn $12 each
Step-by-step explanation:
Important information:
1 cup: $0.75
4 cups = 1 quart
8 quarts of lemonade altogether
If we are looking to solve for the revenue earned based on quarts, we must first solve for how much money they make on 1 quart
Since 1 cup sells for $0.75 and 4 cups makes up a quart, we must multiply
0.75 × 4 = 3
They make $3 per 1 quart
We are looking for the amount for 8 quarts though, not just 1. Again we must multiply
3 × 8 = 24
They will make $24 if they sell all 8 quarts
The questions ask if they will <em>each</em> earn $12
Since there are two of them, Miles and Lucy, we must divide revenue earned by 2, the number of people
24 ÷ 2 = 12
$12
For multiplication, if both integers have like signs, it is always positive. If they have unlike signs it is negative.
For division, if both integers have like signs it is positive. If they have unlike signs it is negative.
Answer:
a = 3 and b = 4
Step-by-step explanation:
Independent Equations
Lines intersect
One solution
In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations. One solution is called "consistent". This shows two distinct non-parallel lines that cross at exactly one point. This is called an "independent" system of equations, and the solution is always some x, y-point.
Answer:
a = 0,-1
Step-by-step explanation:
a^2 + a=0
Factor out an a
a(a+1) =0
Using the zero product property
a=0 a+1 =0
a=0 a= -1
