Start with how much profit they are making off each race entry. People pay $55 to race, but $15 of that is expenses so they are only profiting $40 for each entry. Now write one side of the equality. They start with $10,000 in donations, and then have a $40 profit for each race entry. So 10,000+40x. X will represent the unknown number of race entries. What do we want that expression to be equal to? We want 10000+40x>55000. It can also be greater than or equal to, not just greater than.
Solve for x. Subtract 10000 from each side resulting in 40x>45000. Divide each side by 40 to solve for x. X>1125. X needs to bbe greater than or equal to 1125. If there are 1125 race entries, the charity will profit exactly $55000, so the lowest number of race entries is 1125
Answer:
It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close
Step-by-step explanation:
Hi
Leon do the work in 17 hours that means the rate of his work is 
, so he do 
of the work in two hours, therefore Michael do the other 
of the work, thus Michael rate will be 
.
So it takes Michael 
to complete the work, or 
So discount means taken off
we find 15% of 199 and subtract from 199
% means parts out of 100 so 15%=15/100=1.5/10=.15/1=0.15
'of' means multiply
15% of 199=0.15 times 199=29.85
discount so 199-29.85=169.15
answer is $169.15
Answer: The length of AC is 18 ft.
Step-by-step explanation:
By the given diagram,
AM = MB and CN = NB
M and N are the mid points of the sides AB and CB respectively,
Thus, by the mid point theorem,
MN ║ AC,
By the alternative interior angle theorem,
∠BMN ≅ ∠BAC
∠BNM ≅ ∠BCA
Thus, by AA similarity postulate,
ΔBMN ≅ ΔBAC
By the property of similar triangles,
Thus, The length of AC is 18 ft.
