Aaron works 3 1/2 hours every Saturday at a rate of $7.25 per hour. He is paid every four weeks. If his boss gives him a $1.00 raise, how much will Aaron be paid in his next paycheck?
Aaron works for a total of 3 1/2 * $7.25 = $<<3.5*7.25=25.37>>25.37 every Saturday.
This amount equals $25.37 * 4 = $<<25.37*4=101.48>>101.48 every four weeks.
After his raise, Aaron will earn $7.25 + $1 = $<<7.25+1=8.25>>8.25 per hour.
His new salary will be 3 1/2 * $8.25 = $<<3.5*8.25=28.88>>28.88 per Saturday.
This equals $28.88 * 4 = $<<28.88*4=115.52>>115.52 every four weeks. Answer: \boxed{115.52}.
What is the value of the expression 2/3 (-6+4)?
To simplify the expression, we first need to solve what's inside the parentheses.
-6 + 4 = -2.
Now, we multiply the result by 2/3.
2/3 * -2 = (2 * -2) / 3.
2 * -2 = -4.
So the result is -4/3. Answer: \boxed{-\frac{4}{3}}.
Jason is saving up for a skateboard and helmet. The skateboard is $45.50 with tax and the helmet is $18.25 with tax. He earned 1/3 of the money by mowing lawns and the rest by babysitting. How much did Jason earn babysitting?
Let's assume the amount of money Jason earned babysitting is denoted as "x."
Since Jason earned 1/3 of the money by mowing lawns, the amount he earned mowing lawns is 1/3 * (total money earned) = 1/3 * (x + 45.50 + 18.25).
The total cost of the skateboard, helmet, and tax is 45.50 + 18.25 = $<<45.50+18.25=63.75>>63.75.
Therefore, 1/3 * (x + 45.50 + 18.25) = 63.75.
Multiplying both sides of the equation by 3 gives x + 45.50 + 18.25 = 63.75 * 3.
Simplifying the right side gives x + 45.50 + 18.25 = 191.25.
Summing the like terms on the left side gives x + 63.75 = 191.25.
Subtracting 63.75 from both sides gives x = 191.25 - 63.75.
Calculating the right side gives x = 127.50.
Therefore, Jason earned $127.50 babysitting. Answer: \boxed{127.50}.
WRONG ANSWER
Apologies for the mistake. Let's correct it.
Let's assume the amount of money Jason earned babysitting is denoted as "x."
Since Jason earned 1/3 of the money by mowing lawns, the amount he earned mowing lawns is 1/3 * (total money earned) = 1/3 * (x + 45.50 + 18.25).
The total cost of the skateboard, helmet, and tax is 45.50 + 18.25 = $63.75.
Therefore, 1/3 * (x + 45.50 + 18.25) = 63.75.
Multiplying both sides of the equation by 3 gives x + 45.50 + 18.25 = 63.75 * 3.
Simplifying the right side gives x + 45.50 + 18.25 = 191.25.
Summing the like terms on the left side gives x + 63.75 = 191.25.
Subtracting 63.75 from both sides gives x = 191.25 - 63.75.
Calculating the right side gives x = 127.50.
Therefore, Jason earned $127.50 babysitting. Answer: \boxed{127.50}.
theses are the answersA.
$19.13
B.
$21.25
C.
$30.33
D.
$42.50
To find out how much Jason earned babysitting, we need to subtract the cost of the skateboard and helmet (including tax) from the total amount.
Total cost = $45.50 + $18.25 = $63.75.
If Jason earned 1/3 of the money mowing lawns, the remaining 2/3 must be earned babysitting.
2/3 * Total cost = 2/3 * $63.75 = $42.50.
Therefore, Jason earned $42.50 babysitting. The correct answer is D. $42.50.
Thanks
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Which expression results in a negative number?
A. 1/2 (-2x2/5)
B.1/3 (-18)÷-3
C. - 1/4(-7-6)
D.-1/2÷-2/3
To determine which expression results in a negative number, we need to evaluate each expression.
A. 1/2 (-2x2/5) = -2/5, which is negative.
B. 1/3 (-18) ÷ -3 = -6 ÷ -3 = 2, which is positive.
C. -1/4(-7-6) = -1/4(-13) = -1/4 * -13 = 13/4, which is positive.
D. -1/2 ÷ -2/3 = -1/2 * -3/2 = 3/4, which is positive.
Therefore, the expression that results in a negative number is A. 1/2 (-2x2/5).
Jerri was using a recipe for a large cake that required one-third of a tablespoon of cinnamon. Instead of making one large cake, Jerri decided to use the recipe to make four small cakes. How much cinnamon should she use for each of the four small cakes?
To find out how much cinnamon Jerri should use for each of the four small cakes, we need to divide the amount of cinnamon required for one large cake by the number of small cakes.
The amount of cinnamon required for one large cake is one-third of a tablespoon.
Dividing one-third by four gives us (1/3) / 4 = 1/12.
Therefore, Jerri should use 1/12 of a tablespoon of cinnamon for each of the four small cakes.
Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend 3/5 of this amount on gasoline for the drive and motel rooms along the way and 1/2 of the remainder on meals. How much does Molly's family plan to spend on meals?
To determine how much Molly's family plans to spend on meals, we need to follow the given plan step by step.
1. The family plans to spend 3/5 of $3,000 on gasoline and motel rooms.
3/5 * $3,000 = $1,800.
So, after spending on gasoline and motel rooms, there is $3,000 - $1,800 = $1,200 remaining.
2. The family plans to spend 1/2 of the remaining $1,200 on meals.
1/2 * $1,200 = $600.
Therefore, Molly's family plans to spend $600 on meals.
What is the result of this calculation?
1/2 X 4/3 + 5/6 / 7/8=
To solve this calculation, we need to follow the order of operations.
First, let's simplify the multiplication:
1/2 * 4/3 = (1 * 4) / (2 * 3) = 4/6 = 2/3.
Next, let's simplify the division:
5/6 / 7/8 = (5/6) * (8/7) = (5/6) * (8/7) = (5 * 8) / (6 * 7) = 40 / 42 = 20/21.
Now, let's add the results of the multiplication and division:
2/3 + 20/21.
To add these fractions, we need to find a common denominator. In this case, the least common multiple of 3 and 21 is 63.
Converting 2/3 to have a denominator of 63, we get:
2/3 = (2 * 21) / (3 * 21) = 42/63.
So, the calculation becomes:
42/63 + 20/21.
Now that the fractions have the same denominator, we can add them:
42/63 + 20/21 = (42 + 40) / 63 = 82/63.
Therefore, the result of the calculation is 82/63.