Answer:
10. 1/9
11. 1 1/6
12. 1/8
Step-by-step explanation:
10.
He spent 2/3 of 1/6 of the day.
In math, "of" means multiplication, so 2/3 of 1/6 means 2/3 * 1/6.
2/3 * 1/6 = 2/18 = 1/9
He spent 1/9 of the day adding mulch.
11.
He spent 2/3 of 1 3/4 hours.
In math, "of" means multiplication, so 2/3 of 1 3/4 means 2/3 * 1 3/4.
2/3 * 1 3/4 = 2/3 * 7/4 = 14/12 = 7/6 = 1 1/6
He spent 1 1/6 hours working on the project.
12.
She planted 1/6 of 3/4 of the area.
In math, "of" means multiplication, so 1/6 of 3/4 means 1/6 * 3/4.
1/6 * 3/4 = 3/24 = 1/8
She planted carrots in 1/8 of the garden.
2 3/4 divided by 1/4
is
2 3/4 multiplied by 4/1
which is (2+3/4)*4 = 2*4 + 3/4*4 = 8+3 =<em>11</em>
How do you evaluate: To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
Answer:
x=2, y=16
Step-by-step explanation:
x+y=18
y=8x
x+8x=18
x=2
y=16
Answer:
D. The constant 250 represents the average collection when no seniors ride.
Step-by-step explanation:
A -- the entire expression represents the driver's pay, not just the constant 250.
B -- collections continue to increase as x goes up, so 250 is the minimum, not the maximum.
C -- x is the number of seniors; 250 is in units of collections (dollars?), not numbers of seniors.
D -- indeed, 250 is the "y-intercept" of the expression, hence the collection when no seniors ride.
