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
A. Let s be the smallest integer
B. We must add 2 to get the next greater integer
C. Second integer is s+2
D. s+(s+2)=118
2•s+2=118
2s+2-2=118-2
2s=116
2s/2=116/2
s=58
If the smallest even integer is 58 the consecutive integer is 58+2=60
Verify
58+60=118 ✔️
Your Welcome!!
(Hopefully they're all right)
Answer: the answer is x=-4.
Step-by-step explanation:
1. statement: angles 1 and 2 are supplementary, reason: adjacent angles on a straight line are supplementary
2. reason: Vertical angles are congruent
3. reason: Parallel lines for supplementary interior angles on the same side as the transverse
4. statement:angles 1 and 5 are equal reason:If two angles are supplementary to the same angle, they are congruent
