To find Camille's average earnings per hour for all 5 hours, we need to first calculate her total earnings and then divide by the total number of hours worked.
Earnings from mowing lawns: 3 hours x $6.80 per hour = $20.40
Earnings from washing windows: 2 hours x $6.20 per hour = $12.40
Total earnings: $20.40 + $12.40 = $32.80
Total hours worked: 3 hours + 2 hours = 5 hours
Average earnings per hour: $32.80 ÷ 5 hours = $6.56 per hour
Therefore, Camille's average earnings per hour for all 5 hours is $6.56 per hour.
Camille mode Lawns for 3 hours and earned $6.80 per hour. Then she washed windows for 2 hours and earned $6.20 per hour. What were Camille's average earnings per hour for all 5 hours?
27 answers
Evaluate: (x to the third power - xy) - y
We cannot evaluate the expression without knowing the values of x and y.
However, we can simplify the expression by combining like terms:
(x³ - xy) - y = x³ - xy - y
So, if we are given the values of x and y, we can substitute them into the expression and simplify it further.
However, we can simplify the expression by combining like terms:
(x³ - xy) - y = x³ - xy - y
So, if we are given the values of x and y, we can substitute them into the expression and simplify it further.
Evaluate: x + (x to the second power - xy) - y
We can simplify the expression by combining like terms:
x + (x² - xy) - y
= x + x² - xy - y (removing the parentheses)
= x² + x - xy - y (rearranging the terms)
= x(x - y) + ( -y + x²) (grouping the terms)
So the simplified expression is:
x(x - y) + ( -y + x²)
x + (x² - xy) - y
= x + x² - xy - y (removing the parentheses)
= x² + x - xy - y (rearranging the terms)
= x(x - y) + ( -y + x²) (grouping the terms)
So the simplified expression is:
x(x - y) + ( -y + x²)
x + (x² - xy) - y if x = 8 and Y = 5
We can substitute x = 8 and y = 5 into the given expression and evaluate it:
x + (x² - xy) - y
= 8 + (8² - 8*5) - 5 (substituting x = 8 and y = 5)
= 8 + (64 - 40) - 5
= 27
Therefore, when x = 8 and y = 5, the value of the expression x + (x² - xy) - y is 27.
x + (x² - xy) - y
= 8 + (8² - 8*5) - 5 (substituting x = 8 and y = 5)
= 8 + (64 - 40) - 5
= 27
Therefore, when x = 8 and y = 5, the value of the expression x + (x² - xy) - y is 27.
When Sean cleaned his room he found that the ratio of clean clothes to dirty clothes was three to five. If 48 articles of clothing were discovered, how many were clean?
Let's call the number of clean clothes "3x" and the number of dirty clothes "5x", where x is a constant.
The ratio of clean clothes to dirty clothes is given as 3:5. This means that:
3x : 5x
We know that the total number of clothes is 48. So, we can set up an equation:
3x + 5x = 48
Combining like terms, we get:
8x = 48
Dividing both sides by 8, we get:
x = 6
So, there are 3x = 3(6) = 18 clean clothes.
Therefore, Sean found 18 clean clothes when he cleaned his room.
The ratio of clean clothes to dirty clothes is given as 3:5. This means that:
3x : 5x
We know that the total number of clothes is 48. So, we can set up an equation:
3x + 5x = 48
Combining like terms, we get:
8x = 48
Dividing both sides by 8, we get:
x = 6
So, there are 3x = 3(6) = 18 clean clothes.
Therefore, Sean found 18 clean clothes when he cleaned his room.
In 25 minutes 600 customers entered the attraction at this rate how many customers would enter the attraction in 1 hour?
We can use proportionality to solve this problem.
Since 25 minutes is $\frac{1}{4}$ of an hour (60 minutes), we can set up the proportion:
$\frac{600 \text{ customers}}{25 \text{ minutes}} = \frac{x \text{ customers}}{60 \text{ minutes}}$
where x is the number of customers that would enter the attraction in 1 hour.
To solve for x, we can cross-multiply:
$25x = 600 \cdot 60$
$25x = 36000$
$x = \frac{36000}{25}$
$x = 1440$
Therefore, at the same rate, 1440 customers would enter the attraction in 1 hour.
Since 25 minutes is $\frac{1}{4}$ of an hour (60 minutes), we can set up the proportion:
$\frac{600 \text{ customers}}{25 \text{ minutes}} = \frac{x \text{ customers}}{60 \text{ minutes}}$
where x is the number of customers that would enter the attraction in 1 hour.
To solve for x, we can cross-multiply:
$25x = 600 \cdot 60$
$25x = 36000$
$x = \frac{36000}{25}$
$x = 1440$
Therefore, at the same rate, 1440 customers would enter the attraction in 1 hour.
The diameter of a round skating rink is 18 m. Find the circumference of the rank to the nearest meter.
The circumference of a circle is given by the formula:
$C = \pi d$
where C is the circumference and d is the diameter.
Substituting the given value of diameter (d = 18 m), we get:
$C = \pi \cdot 18 \text{m}$
We can use 3.14 as an approximation for $\pi$. So, substituting this value, we get:
$C \approx 3.14 \cdot 18 \text{m}$
$C \approx 56.52 \text{m}$
Rounding this value to the nearest meter, we get:
$C \approx 57 \text{m}$
Therefore, the circumference of the skating rink to the nearest meter is 57 meters.
$C = \pi d$
where C is the circumference and d is the diameter.
Substituting the given value of diameter (d = 18 m), we get:
$C = \pi \cdot 18 \text{m}$
We can use 3.14 as an approximation for $\pi$. So, substituting this value, we get:
$C \approx 3.14 \cdot 18 \text{m}$
$C \approx 56.52 \text{m}$
Rounding this value to the nearest meter, we get:
$C \approx 57 \text{m}$
Therefore, the circumference of the skating rink to the nearest meter is 57 meters.
Melanie need a 28 in of wire for project. She used 1/4 of a full spool of wire. How many inches of wire were in the full spool?
If Melanie used 1/4 of a full spool of wire, she has 3/4 of the spool left. We can use proportionality to find out how many inches of wire are in the full spool.
Let x be the number of inches of wire in the full spool. Then we can set up the proportion:
$\frac{28 \text{ inches}}{1} = \frac{x \text{ inches}}{3/4}$
To solve for x, we can cross-multiply:
$28 \text{ inches} \cdot \frac{3}{4} = x \text{ inches}$
$21 \text{ inches} = x \text{ inches}$
Therefore, there are 21 inches of wire in the full spool.
Let x be the number of inches of wire in the full spool. Then we can set up the proportion:
$\frac{28 \text{ inches}}{1} = \frac{x \text{ inches}}{3/4}$
To solve for x, we can cross-multiply:
$28 \text{ inches} \cdot \frac{3}{4} = x \text{ inches}$
$21 \text{ inches} = x \text{ inches}$
Therefore, there are 21 inches of wire in the full spool.
Simplify 350/-7, -880/-11, 14(-40), and 19(+60).
To simplify:
350/(-7)
We simply divide 350 by -7:
350/(-7) = -50
Therefore, 350/(-7) simplifies to -50.
To simplify:
-880/(-11)
We can simplify this by dividing -880 by -11:
-880/(-11) = 80
Therefore, -880/(-11) simplifies to 80.
To simplify:
14(-40)
We can simplify this by multiplying 14 by -40:
14(-40) = -560
Therefore, 14(-40) simplifies to -560.
To simplify:
19(+60)
We can simplify this by multiplying 19 by 60:
19(+60) = 1140
Therefore, 19(+60) simplifies to 1140.
350/(-7)
We simply divide 350 by -7:
350/(-7) = -50
Therefore, 350/(-7) simplifies to -50.
To simplify:
-880/(-11)
We can simplify this by dividing -880 by -11:
-880/(-11) = 80
Therefore, -880/(-11) simplifies to 80.
To simplify:
14(-40)
We can simplify this by multiplying 14 by -40:
14(-40) = -560
Therefore, 14(-40) simplifies to -560.
To simplify:
19(+60)
We can simplify this by multiplying 19 by 60:
19(+60) = 1140
Therefore, 19(+60) simplifies to 1140.
420 is 3/5 of what number?
We can set up a proportion to solve for the number:
3/5 = 420/x
where x is the unknown number we want to find.
To solve for x, we can cross-multiply:
3x = 5(420)
3x = 2100
Dividing both sides by 3, we get:
x = 700
Therefore, 420 is 3/5 of 700.
3/5 = 420/x
where x is the unknown number we want to find.
To solve for x, we can cross-multiply:
3x = 5(420)
3x = 2100
Dividing both sides by 3, we get:
x = 700
Therefore, 420 is 3/5 of 700.
6 1/4 /100 simplified
To divide a mixed number by a whole number, we first need to convert the mixed number to an improper fraction.
$6 \frac{1}{4} = \frac{(6 \times 4) + 1}{4} = \frac{25}{4}$
Therefore, we have:
$\frac{6 \frac{1}{4}}{100} = \frac{\frac{25}{4}}{100}$
To divide by 100, we can simply move the decimal point two places to the left:
$\frac{\frac{25}{4}}{100} = \frac{25}{4 \times 100} = \frac{25}{400}$
We can simplify this fraction by dividing both the numerator and denominator by 25:
$\frac{25}{400} = \frac{1}{16}$
Therefore, $6 \frac{1}{4}$ divided by 100 simplifies to $\frac{1}{16}$.
$6 \frac{1}{4} = \frac{(6 \times 4) + 1}{4} = \frac{25}{4}$
Therefore, we have:
$\frac{6 \frac{1}{4}}{100} = \frac{\frac{25}{4}}{100}$
To divide by 100, we can simply move the decimal point two places to the left:
$\frac{\frac{25}{4}}{100} = \frac{25}{4 \times 100} = \frac{25}{400}$
We can simplify this fraction by dividing both the numerator and denominator by 25:
$\frac{25}{400} = \frac{1}{16}$
Therefore, $6 \frac{1}{4}$ divided by 100 simplifies to $\frac{1}{16}$.
3.5 = x - 0.09
To solve for x, we can isolate the variable on one side of the equation by adding 0.09 to both sides:
3.5 + 0.09 = x - 0.09 + 0.09
3.59 = x
Therefore, the solution is:
x = 3.59
3.5 + 0.09 = x - 0.09 + 0.09
3.59 = x
Therefore, the solution is:
x = 3.59
4/5× m = 52
To solve for m, we can isolate the variable by dividing both sides by the coefficient of m:
4/5 × m = 52
m = 52 ÷ (4/5)
m = 52 × (5/4)
m = 65
Therefore, the solution is:
m = 65
4/5 × m = 52
m = 52 ÷ (4/5)
m = 52 × (5/4)
m = 65
Therefore, the solution is:
m = 65
-33 -(-23) + (+32)
When we subtract a negative number, it is the same as adding a positive number.
So, we can simplify the expression as follows:
-33 -(-23) + (+32)
= -33 + 23 + 32 (two negatives make a positive)
= 22
Therefore, -33 -(-23) + (+32) simplifies to 22.
So, we can simplify the expression as follows:
-33 -(-23) + (+32)
= -33 + 23 + 32 (two negatives make a positive)
= 22
Therefore, -33 -(-23) + (+32) simplifies to 22.
24 answers