Area of a circle =πr2
400π square inches =πr2
400=r2
Since 202=2020=400, we might need to "guess and check" before concluding that r=20 is correct.
We are asked to find the diameter, which is twice the radius:
D=2r
D=2(20)
D=40 inches
Explanation:
To determine the total amount owed, we need to determine the sales tax:
6% of $50=.06⋅50=$3
(Or, you might recognize that 6% of $100 = $6, so 6% of $50 must be half of $6, or $3.)
Total amount owed =$50+$3=$53
Three $20 bills =3⋅$20=$60
$60−$53=$7 change.
Carla's original payment of $305 is reduced by a flat delivery fee of $21.00:
$305−$21.00=$284.00
The total number of bags that Carla can purchase can be calculated by dividing this sum by the price per bag:
To make sure that Carla doesn't go over her budget, we must round our response down as the question specifies that the mulch can only be sold in whole bags.
Explanation:
From Peter's initial amount of $305, a flat $21.00 delivery charge is deducted:
$305−$21.00=$284.00
We can then divide this amount by the cost per bag to find the total number of bags that Peter can buy:
$284.00÷$8.00 =35.5 bags
However, the question states that the mulch can only be sold in full bags, so we must round our answer down to ensure that Peter doesn't exceed his budget.
We must always remember to reduce everything to a common denominator when dealing with addition and subtraction involving fractions. The family would have eaten a total of 9/8 = 11/8 pizzas if they had eaten 7/8 of one and 1/4 or 2/8 of the other. The leftover 1/8 from the last pizza can now be subtracted to get the remaining 7/8.
A number's components are values that are split into them in an exact ratio. For instance, the factors of 4 are 1, 2, and 4 since each of them can be used to divide 4 without leaving a residual. List the factors of both 33 and 44 in order to find their largest common factor:
Factors of 33 are: 1,3,11,33
Factors of 44
are: 1,2,4,11,22,44
The greatest common factor is the largest number that is in both lists of factors: 11.
Explanation:
Given x+17=11 to solve we want to isolate the variable, x. To do this most efficiently, we subtract 17 from both sides
To calculate the total amount spent by Coach Rush on the purchases, we need to multiply the quantity of each item by its respective price and sum up the amounts.
The cost of three balls at $25 each is:
3 balls × $25/ball = $75
The cost of twenty cones at $1.25 each is:
20 cones × $1.25/cone = $25
The cost of twelve practice vests at $3.50 each is:
12 vests × $3.50/vest = $42
To find the overall amount spent, we add up the costs of the three items:
$75 (balls) + $25 (cones) + $42 (vests) = $142
Therefore, Coach Rush spent a total of $142 on the purchases.
Explanation:
This question is really asking for the perimeter of the field. Add up all of the sides to find the perimeter:
(125⋅2)+(200⋅2)=650
We must figure out the sales tax in order to calculate the total amount due:
6% of $50=.06⋅50=$3
(Or, you might recognize that 6% of $100 = $6, so 6% of $50 must be half of $6, or $3.)
Total amount owed =$50+$3=$53
Three $20 bills =3⋅$20=$60
$60−$53=$7 change.
Explanation:
When subtracting a larger number from a smaller number you will end up with a negative number. To solve this type of problem, switch the order of the two numbers and do the subtraction as you normally would, but add a negative sign in front of the result:
8.77−10.16 =−(10.16−8.77)
10.16−8.77
----------------
1.39
So the answer is −1.39
Explanation:
5 packs of hotdogs × 8 hotdogs per pack = 40 hotdogs
Buns are sold in packs of 6.
7 packs of buns × 6 buns per pack = 42 buns
To convert 270 minutes into hours, we divide the number of minutes by 60, since there are 60 minutes in an hour.
270 minutes / 60 minutes/hour = 4.5 hours
Therefore, Silva's flight lasts for 4.5 hours.
Explanation:
Calculate the number of defective balls in each container and then add these two amounts:
40% of 80
=0.40⋅80=32
20% of 90
=0.20⋅90=18
32+18=50
You may calculate the price of the 9 pens by dividing $1.10 by 9. The following can be written:
(9)($1.10)
Since Shane paid with a $20 bill, her change will be the difference between $20 and the cost of the 9 pens. Thus, her change is:
$20−(9)($1.10)
