Benny opened a bank account. He deposited $92.50 into his account every month for 10 months. He used $36.50 every month to pay for art lessons. After 10 months, he used 1 over 2 of the total money left in his account to go to a summer camp for artists. What is the total amount of money Benny spent to go to the summer camp? (5 points)
$140.00
$280.00
$420.00
$440.00
Benny deposited $92.50 into his account every month for 10 months, so the total amount he deposited is 92.5 * 10 = $<<92.5*10=925.00>>925.00.
Benny used $36.50 every month to pay for art lessons, so the total amount he spent on art lessons is 36.50 * 10 = $<<36.50*10=365.00>>365.00.
The total amount of money left in Benny's account after 10 months is 925.00 - 365.00 = $<<925.00-365.00=560.00>>560.00.
Benny used 1/2 of the total money left in his account for the summer camp, which is 560.00 / 2 = $<<560.00/2=280.00>>280.00.
Therefore, Benny spent $280.00 to go to the summer camp.
can you explain in human terms
Certainly! Benny deposited $92.50 into his bank account every month for 10 months, so the total amount he deposited in that time is $925.00. He also had to pay $36.50 each month for art lessons, which amounts to a total of $365.00 over the 10 months. After paying for his art lessons, Benny had $560.00 left in his account. Benny decided to use half of that money, which is $280.00, to go to a summer camp for artists. So in total, Benny spent $280.00 to go to the summer camp.
Rufus earned $230 delivering newspapers during the summer. He bought 5 movie passes worth $15 each from his newspaper money. How much money was left after he bought the movie passes? (5 points)
$150
$155
$215
$245
Rufus bought 5 movie passes worth $15 each, so the total cost of the movie passes is 5 * $15 = $<<5*15=75>>75.
The amount of money Rufus had left after buying the movie passes is $230 - $75 = $<<230-75=155>>155.
Therefore, Rufus had $155 left after buying the movie passes.
Megan's DVD club membership, which is $8, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year? (5 points)
(−$8) ÷ 12
(−$8) ⋅ 12
(−$8) − 12
(−$8) + 12
The expression that shows the total deductions for the year is (−$8) ⋅ 12. That means the monthly deduction of -$8 is multiplied by 12 months in a year, giving us a total deduction of -$96 for the year.
bot there are only 4 answers choose one of them
Apologies for the mistake. The correct answer is (−$8) ⋅ 12.
An underground mine elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground.
How many meters below the ground is the elevator after 2 minutes? (5 points)
−18 meters
−9 meters
−4.5 meters
−22.5 meters
The elevator descends 12% of the total depth every minute, which means it goes down 0.12 * 75 = 9 meters every minute.
After 2 minutes, the elevator would have gone down a total of 2 * 9 = 18 meters.
Since the elevator is descending, we represent the depth as a negative number.
Therefore, the elevator is -18 meters below the ground after 2 minutes.
The correct answer is −18 meters.
Rusty's hair grows at the rate of 1 over 4 inch per month.
How many months will it take Rusty's hair to grow 5 over 8 inch?
Explain your answer using words, and show your work using division of fractions
Rusty's hair grows at a rate of 1/4 inch per month.
To find out how many months it will take for his hair to grow 5/8 inch, we can set up a division of fractions problem.
We want to find out how many sets of 1/4 inch it takes to reach 5/8 inch. Since division is the inverse operation of multiplication, we can multiply 5/8 inch by the reciprocal of 1/4 inch, which is 4/1.
(5/8) * (4/1) = 20/8
Simplifying 20/8, we get 2 4/8.
However, we can simplify this further. 4/8 can be reduced to 1/2.
So, 2 4/8 is equal to 2 1/2.
Therefore, it will take Rusty's hair 2 1/2 months to grow 5/8 inch.
Almost 9 over 11 of the total electricity supplied to a town is used in farms and houses. Determine the decimal equivalent of 9 over 11 .
Use words to explain if the decimal terminates or repeats. (10 points)
To determine the decimal equivalent of 9/11, we divide 9 by 11:
9 ÷ 11 = 0.818181...
The decimal equivalent of 9/11 is approximately 0.818181...
The decimal repeats the pattern "81" indefinitely, which means it is a repeating decimal.
A newspaper reports the following changes in the temperature of a city over 4 days:
3.24 degrees Celsius, negative 3 over 8 degrees Celsius, −0.15 degrees Celsius, 7 over 9 degrees Celsius
Write an expression to show the average daily change in the temperature of the city.
Write the steps to solve the expression. Round your answer to the nearest hundredth. (10 points)
To find the average daily change in temperature, we need to calculate the mean (average) of the given temperature changes over the 4 days.
The expression to show the average daily change in the temperature of the city is:
(3.24 + (−3/8) + (−0.15) + (7/9)) / 4
Here are the steps to solve the expression:
1. Add up all the given temperature changes: 3.24 + (−3/8) + (−0.15) + (7/9)
2. Convert any mixed numbers or fractions to decimal form if necessary.
3. Divide the sum by the total number of days, which is 4 in this case.
4. Round the answer to the nearest hundredth.
For example, evaluating the expression step by step:
3.24 + (−3/8) + (−0.15) + (7/9)
= 3.24 − 0.375 − 0.15 + 0.7778
= 3.4928 − 0.525
= 2.9678
Finally, divide the sum by 4 to find the average daily change: 2.9678 / 4 ≈ 0.74
Therefore, the average daily change in the temperature of the city is approximately 0.74 degrees Celsius, rounded to the nearest hundredth.
Mariah earns $32.75 per week working as a pet sitter. She worked as a pet sitter for 2 weeks. She previously saved $70.99 in allowance money. She spent $12.25 of her total earning to buy video games. Mariah put 1 over 4 of the remaining money in her savings account. Mariah used the following steps to find the total money she put in her savings account:
Step 1: [($32.75 ⋅ 2) + $70.99 − $12.25] ⋅ 1 over 4
Step 2: [$65.5 + $70.99 − $12.25] ⋅ 1 over 4
Step 3: $136.49 − $3.0625 = $133.4275
In which step did Mariah first make an error? Explain, using words, how Mariah can correct her error.
Mariah first made an error in Step 3. The correct answer should be $133.9375, not $133.4275.
To correct the error, Mariah needs to accurately calculate the subtraction. The correct calculation is $136.49 - $3.0625 = $133.4275.
However, Mariah should have rounded the final answer to the nearest hundredth, as the question asks for the total amount of money she put in her savings account. Thus, the correct answer should be $133.43.
Mariah can correct her error by rounding the final answer correctly to $133.43 in Step 3.
bot the question does not say to round to the hundreths so give me the correct answer
Apologies for the confusion. Without rounding to the nearest hundredth, the correct calculation in Step 3 is indeed $136.49 - $3.0625 = $133.4275.
Therefore, the correct answer without rounding in Step 3 is $133.4275.