The question can be answered using ratio and proportion.
In 40 minutes, Tracy can rake 4 bags of leaves. In 2 hours (which is equivalent to 120 minutes), how many bag will it be?
Making the equation.
4 : 40 = BAGS : 120
4 x 120 = 40 x BAGS
480 = 40 (BAGS) // Divide both sides by 40
BAGS = 12.
So there will be 12 bags of leaves.
Answer:
The resulting three-dimensional object will be a cone
Step-by-step explanation:
Plot the figure to better understand the problem'
we have
a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1)
The draw in the attached figure
we know that
When rotating a a right triangle about a leg, the three dimensional figure formed is a cone
The radius of the cone will be equal to the base of right triangle and the height of the cone will be equal to the height of the triangle
so
The radius of the cone will be equal to 2 units and the height of the cone will be 3 units
see the attached figure to better understand the problem
Answer:
The coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
Step-by-step explanation:
Since the varsity soccer team has 20 players, and three of the players are trained to be goalies while the remaining 17 can play any position, and only 11 players can be on the field at once, and the coach wants to make sure there is exactly one goalie on the field, to determine how many ways can the coach choose a lineup of 11 players if exactly 1 player must be a goalie the following calculation has to be made:
3 x 17 ^ 10 = X
3 x 2,015,993,900,449 = X
6,047,981,701,347 = X
Therefore, the coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
We are asked to solve for the outstanding balance.
The given values are listed below:
Current balance = $523.11
First Outstanding check = $32.10
Second Outstanding check is $198.33
New balance = Current Balance - First outstanding check - second outstanding check
New Balance = $523.11 - $32.10 - $198.11
New Balance = $301.9
Answer:
yes,you can buy the textbook
Step-by-step explanation:
determine discount
60 × 0.2(decimal form of 20%)
=12
apply discount
60-12
=48
50>48✓
