<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>
x - y = 15
2x + 8 = 3y - 4
We can quickly get a temporary value for x by altering the original equation.
x - y = 15
<em><u>Add y to both sides.</u></em>
x = 15 + y
Now that we have a value of x, we can find the exact value of y.
2(15 + y) + 8 = 3y - 4
<em><u>Distributive property.</u></em>
30 + 2y + 8 = 3y - 4
<em><u>Combine like terms.</u></em>
38 + 2y = 3y - 4
<em><u>Subtract 2y from both sides.</u></em>
38 = y - 4
<em><u>Add 4 to both sides.</u></em>
y = 42
Now that we know the exact value of y, we can plug it back into the original equation.
x - 42 = 15
<em><u>Add 42 to both sides.</u></em>
x = 57
Step-by-step explanation:
1. P(pen then pencil) = 15/25 × 10/25 = 3/5 × 2/5 = 6/25
2. P(pen then pencil) + P(pencil then pen) = 6/25 + 6/25 = 12/25
3. P(pencil then pencil) = 10/25 × 10/25 = 2/5 × 2/5 = 4/25
4. P(at least 1 pen) = 1 − P(no pen) = 1 − 4/25 = 21/25
Answer:
C
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
by adding three to the next number each time, the answer is 35
Answer:
N(c) = (C - 15)/20.
Step-by-step explanation:
C(n) = 20n + 15
20n = C- 15
N(c) = (C - 15)/20.