78 – 24 divided by (14 – 6) x 2
1 answer:
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Answer:
C) 15
Step-by-step explanation:
Here we have to use the combination to find the number of possible combinations.
Total number of classmates (n) = 6
We are selecting 2 individuals. So r = 2.
The combination formula nCr =
Plug in n = 6 and r =2, in the above formula, we get
=
=
Simplifying the above factorial, we get
= 15
So the answer is C) 15
Answer
24 quarts of green paint should be mixed with 4 cups of black paint.
That is (96 cups)
Step by step explanation
Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.
Let's convert 4 quarts into cups.
1 quart = 4 cups
4 quarts = 16 cups
Here mix 16 cups of green paint with 2/3 cups of black paint.
Let's use the proportion
Green paint Black paint
16 2/3
x 4
16/x =2/3 divided by 4
Cross multiplying, we get
16*4 = 2/3 x
64 = 2/3 x
x = 64/(2/3)
x = 64 * 3/2
x = 192/2
x = 96 cups
96 cups of green paint should be mixed with 4 cups of black paint.
We can covert 96 cups into quarts by dividing by 4
96/4 = 24 quarts
24 quarts of green paint should be mixed with 4 cups of black paint.
Thank you.
Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve and replace the result in the initial equation as:
Then, this equality apply only if the coefficient of is equal in both sides and the constant is equal in both sides.
It means that we have two equations:
So, using the first equation and solving for a, we get:
Finally, replacing the value of a in the second equation and solving for b, we get: