so what they mean by "similar" is just that the shapes are the same but different sizes. since we have the measurement for sides PM, MN and TQ, we can figure it out. we have to think of it as a ratio. so PM/TQ = MN/QR. if we plug the amounts in its 57/23 = 40.3/QR. then we cross multiply. so thats 23 x 40.3 which is 926.9. then we divide 926.9 by 57 which is 16.2614035. rounding to the nearest tenth is 16.3
(f+g)(-1)
=f(-1)+g(-1), so;
f(x)=3x+8
f(-1)=3(-1)+8
f(-1)=-3+8
f(-1)=5
g(x)=6x+6
g(-1)=6(-1)+6
g(-1)=-6+6
g(-1)=0
Finally:
f(-1)+g(-1)
=5+0
=5. As a result, (f+g)(-1) is 5. Hope it help!
Answer:
Step-by-step explanation:
1) Number of children = c
Number of adults = a
Total ticket = 250
c + a = 250 -------------------(I)
Cost of 'c' children tickets = 200c
Cost of 'a' adult tickets = 450a
Total cost = 76000
200c + 450a = 76000 ------------------(II)
Multiply (I) by (-200) and then add
(I)*(-200) -200c - 200a = -50000
(II) <u> 200c + 450a = 76000 </u>
<u> </u> 250a = 26000
a = 26000/250
a = 104
Plug in a = 104 in equation (1)
c + 104 = 250
c = 250 - 104
c = 146
2)Number of children = 146
Number of adults = 104
Return rate, r = 3% = 0.03
x = initial investment
b = final balance
After 1 year, the balance i
b = initial investment + interest
b = x + r*x = (1 + r)*x
Because r = 0.03,
b = 1.03x (after 1 year)
Answer: it is the first one
Step-by-step explanation:
