The difference of these numbers (32) is also a divisor of both, so that is the greatest common divisor (GCD) and the answer to your question.
The orchard can consist of 32 rows, each with 3 peach trees and 2 cherry trees.
Answer:
x = - 3
Step-by-step explanation:
4 - (x + 1) = 6
- (x + 1) = 6 - 4
-x - 1 = 6 - 4
-x - 1 = 2
- x = 2 + 1
- x = 3
x = - 3
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Answer:
Step-by-step explanation:
<u>The Inverse of a Function</u>
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
* Solve the equation for x.
Multiply by 3x-1
Divide by y:
Sum 1:
Operate the right side:
Divide by 3:
* Swap the variables:
Write back into function form:
Equation A. 4(t-6)=3t+9; 4t-24=3t+9; t-24=9; t=9+24; t=33;
Answer:
<em>The baker bought 8 apples and 4 bananas</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
a = pounds of apples
b = pounds of bananas
The baker bought a total of 12 pounds of apples and bananas, thus:
a + b = 12 [1]
Apple cost $0.75 per pound and each pound of bananas cost $1.05 per pound. Thus the total cost is 0.75a + 1.05b. We know he spent a total of $10.20, thus
0.75a + 1.05b = 10.20 [2]
Solving [1] for a:
a = 12 - b [3]
Substituting in [2]:
0.75(12 - b) + 1.05b = 10.20
Operating
9 - 0.75b + 1.05b = 10.20
Simplifying:
0.30b = 10.20 - 9 = 1.20
Dividing by 0.30:
b = 1.20/0.30
b = 4
From [3]:
a = 12 - 4 = 8
a = 8
The baker bought 8 apples and 4 bananas
