Answer:
<em>There are 144 cards in 12 packages</em>
Step-by-step explanation:
<u>Direct Proportion</u>
The number of trading cards is directly proportional to the number of packages. We are given there are 84 cards in 7 packages.
Let x= number of packages, y=total number of cards
The direct variation equation is:
y = m.x
Where m is a constant we need to find by using the given data: y=84 when x=7, thus
84 = 7m
Dividing by 7:
m = 84/7=12
The equation is:
y = 12x
For x = 12 packages:
y = 12*12 = 144 cards
The answer is:
There are 144 cards in 12 packages
ANSWER
6(9) + 6(2)
EXPLANATION
We want to find the equivalent expression to the given expression using the distributive property.
The distributive property states that:
This means that we use the number outside the bracket to multiply each of the numbers in the bracket. That is:
That is the equivalent expression by Distributive property.
Answer:
Slope = -1/4
y-intercept = 1
Step-by-step explanation:
Answer:
Correct choice: B
Step-by-step explanation:
Equation Solving
The area of a trapezoid with height h and bases b1 and b2 is given by:
We must solve this formula for h.
First, multiply by 2 to eliminate denominators:
Now, divide by b1+b2:
Swapping sides:
Correct choice: B
Answer:
Step-by-step explanation:
3x - 5y = -35
2x - 5y = -30
3x - 5y = -35
-2x + 5y = 30
x = -5
3(-5) -5y = -35
-15 - 5y = -35
-5y = -20
y = 4