Answer: B) a + c = 10
8a + 5c = 59
Step-by-step explanation:
We know that 10 total people went, so the first equation has to be equal to 10. The total was $59, so the second equation should be set equal to $59. Now that the second equation is for cost, we must make it 8a + 5c to represent the cost of the adult and child tickets which are $8 and $5, respectively.
Answer:
x= -4 & y=-12
Step-by-step explanation:
multiply y=3x by 2
giving you 2y=6x
subtracting 2y=x+20 from 2y =6x
=> 5x=-20
dividing through by 5
=> x=-4
put x=-4 into y=3x
=> y=3(-4)
<em>y</em><em>=</em><em>-12</em>
3c + 5t = 39....multiply by -3
9c + 7t = 63
----------------
-9c - 15t = - 117 (result of multiplying by -3)
9c + 7t = 63
---------------add
- 8t = - 54
t = -54/-8
t = 6.75 <=== tables are 6.75
3c + 5t = 39
3c + 5(6.75) = 39
3c + 33.75 = 39
3c = 39 - 33.75
3c = 5.25
c = 5.25/3
c = 1.75 <=== 1.75 per chair
Answer:
m<I=57
m<J=57
m<K=66
Step-by-step explanation:
All the angles in a triangle add up to 180 degrees.
m<I= 3x+18
m<K= 5x+1
m<I is congruent to m<J.
We can plug the information we already know into the equation.
3x+18+3x+18+5x+1=180
11x+37=180
Subtract 37 from both sides.
11x=143
x=13
Now, we can find out what the angles are.
m<I= 3x+18
m<I=3(13)+18
m<I=39+18
m<I=57
We know that m<I=m<J, so they are both equal to 57 degrees.
m<J=57
Now for m<K:
m<K=5x+1
m<K=5(13)+1
m<K=65+1
m<K=66
We know this is correct because 57+57+66=180.
