For the roof of the shelter, Mia has a board that measures 1 square yard, a second
board that measures 3 feet by 3 feet, and a third board that measures 36 inches by
36 inches.
Which of the boards, if any, will cover all the space needed for the roof? Explain your
answer, drawing a picture if necessary.
1 foot = 1/3 of a yard.
First, let's convert all the measurements to the same unit. We know that 1 yard is equal to 3 feet and 1 foot is equal to 1/3 of a yard.
The first board measures 1 square yard. Since 1 yard is equal to 3 feet, the first board can also be said to measure 3 feet by 3 feet.
The second board measures 3 feet by 3 feet.
The third board measures 36 inches by 36 inches. Since 1 foot is equal to 12 inches, the third board can also be said to measure 3 feet by 3 feet.
Therefore, both the first board and the third board measure 3 feet by 3 feet, which is the same as the second board.
Therefore, all three boards will cover all the space needed for the roof.
$15.20 + 5%
To find 5% of $15.20, we can multiply $15.20 by 0.05:
$15.20 * 0.05 = $0.76
Adding $0.76 to $15.20 gives us the final result:
$15.20 + $0.76 = $15.96
Li earns $30 each week mowing lawns in her neighborhood. She puts 60% of her
earnings into her savings account at the end of each month. How much money
does Li deposit into her account each month? Show your work.
To find out how much money Li deposits into her account each month, we need to calculate 60% of her monthly earnings.
We know that Li earns $30 each week, and there are 4 weeks in a month (approximately).
$30/week * 4 weeks = $120/month
Next, we need to find 60% of $120:
60/100 * $120 = $72
Therefore, Li deposits $72 into her savings account each month.
60 divided by 100
To divide 60 by 100, you just need to divide 60 by 100 and express the result as a decimal or fraction.
60 ÷ 100 = 0.6
Therefore, 60 divided by 100 is equal to 0.6.
100 divided by 60
To divide 100 by 60, you divide 100 by 60 and express the result as a decimal or fraction.
100 ÷ 60 = 1.6667 (rounded to four decimal places)
Therefore, 100 divided by 60 is approximately 1.6667.
After saving $250, Li invests in a certificate of deposit (CD) that pays 2.6% annual
interest. What will be the value of Li’s CD after she has had it for one year? Show
your work.
To calculate the value of Li's CD after one year, we need to add the annual interest to the initial amount.
First, let's find the amount of interest Li will earn on her $250 CD. We can calculate this by multiplying the initial amount by the interest rate:
$250 * 0.026 = $6.50
Next, we add the interest earned to the initial amount to find the final value of the CD:
$250 + $6.50 = $256.50
Therefore, the value of Li's CD after one year will be $256.50.
Li wants to buy a skateboarding helmet and pads. She sees a set she likes at a
sporting goods store. The set costs $54.99. It is on sale for 30% off. Li has a
coupon that will take an additional 10% off the sale price. She lives in a state that
charges 5.75% sales tax. How much will Li have to earn to pay for the
skateboarding set? Show your work.
To find out how much Li will have to earn to pay for the skateboarding set, we need to calculate the final price after applying the discounts and including the sales tax.
First, let's calculate the sale price after a 30% discount:
Sale price = $54.99 - (30/100 * $54.99)
Sale price = $54.99 - $16.50
Sale price = $38.49
Next, let's calculate the price after an additional 10% discount with the coupon:
Final price = $38.49 - (10/100 * $38.49)
Final price = $38.49 - $3.85
Final price = $34.64
Now, let's calculate the amount of sales tax Li needs to pay:
Sales tax = 5.75/100 * $34.64
Sales tax = $2.00
Finally, we can find the total amount Li needs to earn to pay for the skateboarding set:
Total amount = $34.64 + $2.00
Total amount = $36.64
Therefore, Li will need to earn $36.64 to pay for the skateboarding set.