What is 46,836 + 12,588 ?(1 point)

The sum of 46,836 and 12,588 is 59,424.

Lorelei has been pitching for the Westminster Wildcats baseball team for the last four years. Lorelei's goal is to end the season with 162 strikeouts. She now has 149 strikeouts. How many more strikeouts does Lorelei need to reach her goal? (1 point)

Lorelei needs 13 more strikeouts to reach her goal of 162 strikeouts.

What is the sum of 6.9 + 83.66 ?(1 point)

The sum of 6.9 and 83.66 is 90.56.

Karl spent $58.34 at the grocery store last week. This week he spent $72.78. How much more did he spend this week than last week on groceries?(1 point)

Karl spent $14.44 more on groceries this week than last week.

Corinne and her friend, Jewel, were trying to save money for a fishing trip. They want to have $750 saved before they make a reservation at the campground. Corinne deposited $212.75 into the vacation account and Jewel deposited $318.50. How much more do they need to save before they can make the reservation?(1 point)

Responses

Corinne and Jewel still need to save $218.75 before they can make the reservation.

Use the standard algorithm to find the product of 765 and 222. Record the products of each multiplying through by each place value in 222 as well as the final product.(2 points)

The product of multiplying by the ones digit is
. The product of multiplying by the tens digit is
. The product of multiplying by the hundreds digit is
. The product is
.

To find the product of 765 and 222, we can use the standard algorithm:

765
× 222
_____________
1530 (765 × 2)
1530 (765 × 20)
+ 1530 (765 × 200)
_____________
169530 (Final product)

The product of multiplying by the ones digit (2) is 1530.
The product of multiplying by the tens digit (20) is 1530.
The product of multiplying by the hundreds digit (200) is 1530.
The product is 169,530.

Multiply 23.5 and 4.3.(1 point)

The product of multiplying 23.5 and 4.3 is 101.05.

Devan is a sculptor and needs to rent studio space to work. He found a great spot, but it costs $30.75 per hour. Last month he logged 82.5 hours in the studio. A donor gave him $2,500 to put toward this expense. Is it enough money? If so, how much is left? If not, how much more does he need to cover the bill? Round to the nearest cent.(1 point)

Responses

To determine if the $2,500 donation is enough to cover Devan's studio rental expense, we can calculate the cost for 82.5 hours at $30.75 per hour:

Cost = 82.5 hours * $30.75/hour
Cost = $2536.25

The cost of Devan's studio rental for 82.5 hours is $2536.25.

Since the total cost exceeds the donation amount of $2,500, Devan needs an additional amount to cover the bill. The additional amount needed is:

Additional amount needed = Cost - Donation
Additional amount needed = $2536.25 - $2500
Additional amount needed = $36.25

Therefore, Devan needs $36.25 more to cover the studio rental bill.

Charlotte is buying three large watermelons for her summer party. Watermelon costs $0.46 per pound. Charlotte weighs her watermelons and finds they weigh 19 pounds, 15.2 pounds, and 13.7 pounds. How much will she pay for the watermelons? Round to the nearest cent.(1 point)

$

To find out how much Charlotte will pay for the watermelons, we need to calculate the cost for each watermelon and then sum them up.

Watermelon 1:
Cost = 19 pounds * $0.46/pound
Cost = $8.74

Watermelon 2:
Cost = 15.2 pounds * $0.46/pound
Cost = $7.03

Watermelon 3:
Cost = 13.7 pounds * $0.46/pound
Cost = $6.32

Total cost = $8.74 + $7.03 + $6.32
Total cost = $22.09

Therefore, Charlotte will pay $22.09 for the three watermelons.

The area of a rectangle is solved by multiplying the length and width of a rectangle. A rectangular field has an area of 57,600 square feet. If its width is 160 feet, what is its length?(1 point)

To find the length of the rectangular field, we can use the formula for the area of a rectangle and substitute the given values:

Area = Length * Width

Given:
Area = 57,600 square feet
Width = 160 feet

Substituting the values:
57,600 = Length * 160

To solve for the length, divide both sides of the equation by 160:
57,600 / 160 = Length

Length = 360

Therefore, the length of the rectangular field is 360 feet.

Donnie and Ronnie are trying to figure out how much they weigh in kilograms. They discover that 1 kilogram equals 2.2 pounds. Donnie weighs 188 pounds, and Ronnie weighs 165 pounds. What is the difference in their weights in kilograms? Round to the nearest hundredth.(1 point)

To find the weight difference in kilograms between Donnie and Ronnie, we first need to convert their weights from pounds to kilograms.

Donnie's weight in kilograms:
188 pounds * (1 kilogram / 2.2 pounds) = 85.45 kilograms (rounded to the nearest hundredth)

Ronnie's weight in kilograms:
165 pounds * (1 kilogram / 2.2 pounds) = 75 kilograms (rounded to the nearest hundredth)

Now, we can find the difference in their weights in kilograms:
Difference = Donnie's weight in kilograms - Ronnie's weight in kilograms
Difference = 85.45 kilograms - 75 kilograms = 10.45 kilograms (rounded to the nearest hundredth)

Therefore, the difference in their weights in kilograms is 10.45 kilograms.