Answer:
765
Step-by-step explanation:
Answer:
99+1
Step-by-step explanation:
Answer:
548, 297
Step-by-step explanation:
We can set this up as a system of equations. The first equation is for how many tickets were sold, which is x+y=845. The second equation is for the cost of the tickets, which is 3x+5.5y=3277.50. The best method for this problem (other than graphing) is elimination. First, we need to multiply one equation to get the opposite of one of the variables. The easiest one to do for this problem is x. The opposite of 3 is -3, so we have to multiply ALL of the first equation by -3. If you do this, then you get -3x-3y=-2535. Now, combine the equations:
3x + 5.5y = 3277.50
-3x -3y = -2535
________________
0x+2.5y=742.5
Now, isolate y by dividing both sides by 2.5. If you do this, you get y=297. Now, plug this in for the y in the first equation. Isolate x.
x+297=845
-297 -297
__________
0 548
x=548
Hope this helps!
Answer:
The two angles are 69° and 21°.
Step-by-step explanation:
Write out the expression:
let x and y be two angles that are complementary and the sum of their measures is 90°
-> x° + y° = 90°
if one angle is 6º more than three times the other angle:
-> x° = 6° +3y°
Plug x = 6+3y into x° + y° = 90°
6° + 3y° + y° = 90°
Solve for y
4y° = 84°
y° = 21°
Plug y into x° + y° = 90°
x° + 21° = 90°
Solve for x°
x° = 90° - 21° = 69°
1. -3/2
2. 2
3. 1/2
4.0
5. 1/2
6. -3/4
7. -1/4
8. -8/11
9. 0
10. -1/5
