Answer:
Nickel = 5%
Dime = 10%
Nickel + Dime = 15%
Step-by-step explanation:
You can do this easily by dividing the value of each coin and dividing it by the value of a dollar and multiply it by 100%. But before you do that, you need to first make them the same unit.
Nickel = 5 cents
Dime = 10 cents
Dollar = 100 cents
Nickel:
0.05 x 100% = 5%
Dime:
0.10 x 100% = 10%
But if you are looking for the percentage of both a nickel and a dime together, just add them up and you'll get 15%.
4x=2y+6
(-2y=-4x+6)/-2
y=2x-3
y-int: (0, -3)
Answer:
d
Step-by-step explanation:
plan 2 grows exponentially so it grows at a faster rate than plan 1, even though plan 1 starts with 100 members
Answer:
a) x = 12 y = 9
b) x = -2 y = -4
c) x = 6 y = -2
Step-by-step explanation:
a)
Equation 1: 6x - 7y = 9
Equation 2: 3x + 2y = 54
Multiply Equation 2 by 2:
⇒ 6x + 4y = 108
Subtract equations:
6x + 4y = 108
<u>- 6x - 7y = 9 </u>
11y = 99
Divide both sides by 11:
⇒ y = 9
Substitute found value of y into Equation 1 and solve for x:
⇒ 6x - 7(9) = 9
⇒ 6x - 63 = 9
⇒ 6x = 72
⇒ x = 12
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b)
Equation 1: 4x - 5y = 12
Equation 2: 2x - 3y = 8
Multiply Equation 2 by 2:
⇒ 4x - 6y = 16
Subtract equations:
4x - 6y = 16
<u>- 4x - 5y = 12 </u>
-y = 4
Divide both sides by -1:
⇒ y = -4
Substitute found value of y into Equation 1 and solve for x:
⇒ 4x - 5(-4) = 12
⇒ 4x + 20 = 12
⇒ 4x = -8
⇒ x = -2
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c)
Equation 1: 4x - 2y = 28
Equation 2: 3x + 3y = 12
Multiply Equation 1 by 3:
⇒ 12x - 6y = 84
Multiply Equation 2 by 4:
⇒ 12x + 12y = 48
Subtract equations:
12x - 6y = 84
<u>- 12x + 12y = 48 </u>
-18y = 36
Divide both sides by -18:
⇒ y = -2
Substitute found value of y into Equation 1 and solve for x:
⇒ 4x - 2(-2) = 28
⇒ 4x + 4 = 28
⇒ 4x = 24
⇒ x = 6
