Answer: Exponential growth
Answer:
x = 3
y = 5
Step-by-step explanation:
Using theorem of similar triangles, we have,
(6 + x)/6 = (7 + 3.5)/7
(6 + x)/6 = 10.5/7
Cross multiply
7(6 + x) = 10.5(6)
42 + 7x = 63
7x = 63 - 42
7x = 21
x = 21/7
x = 3
Thus:
7.5/y = (7 + 3.5)/7
7.5/y = 10.5/7
Cross multiply
7.5*7 = 10.5*y
52.5 = 10.5*y
Divide both sides by 10.5
52.5/10.5 = y
y = 5
Answer:
$66
Step-by-step explanation:
It can be convenient to assign a different variable to the amount of money each spent. We can call the amounts spent by Seedevi, Georgia, and Amy "s", "g", and "a", respectively.
The problem statement tells us ...
s = (1/2)g
s = a +6
s + g + a = 258
__
The problem statement asks for the amount Seedevi spent, so we need to find the value of s. It is convenient to write the other variables in terms of s:
g = 2s
a = s -6
Then the sum is ...
s + (2s) +(s -6) = 258
4s = 264 . . . . . . . . . . . add 6, simplify
s = 66 . . . . . . . . . . . . . .divide by 4
Seedevi spent $66.
15/3 + 4/3 = 19/3
All you have to do is subtract 4/3 from 19/3 to get 15/3
Answer:
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
Step-by-step explanation:
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
