Answer:
Step-by-step explanation:
step a system of two equations c = child ticket a = adult ticket
eq 1) 2c + 1a = 8.2 multiply by 2
eq 2) 3c + 2a = 14.1
I will multiply eq 1 times TWO and subtract eq 2 from eq 1a)
eq 1a) 4c + 2a = 16.4
eq 2) 3c + 2a = 14.1
subtract (4c - 3c) + (2a -2a) = 16.4 - 14.1
c + 0 = 2.3 euros for one child ticket
Now find the adult ticket price, plug 2.3 for c into eq 1)
eq 1) 2c + 1a = 8.2
eq 1) 2(2.3) + 1a = 8.2 solve for a
4.6 + a = 8.2 substract 4.6 from both sides
a = 8.2 - 4.6
= 3.6 euros for one adult ticket
double check using eq 2) we know c and a values
eq 2) 3c + 2a = 14.1
eq 2) 3(2.3) + 2(3.6) = 14.1
6.9 + 7.2 = 14.1
14.1 = 14.1
9514 1404 393
Answer:
2 1/2 cups
Step-by-step explanation:
A proportion says the ratio of one thing to another is the same for different amounts. Here, we want cups, so we can use the proportion ...
cups/people = 2/12 = x/15 . . . . . where x is the number we want to find
Multiplying by 15 gives ...
x = 15(2/12) = 5/2 = 2 1/2
You will need 2 1/2 cups of zucchini to feed 15 people with the same recipe.
Answer:
D) 4
Step-by-step explanation:
By remote interior angle property if a triangle, we have:
19x° + (18x - 4)° = 144°
(18x - 4 + 19x)° = 144°
(37x - 4)° = 144°
37x - 4 = 144
37x = 144 + 4
37x = 148
x = 148/37
x = 4
Answer:
A. False
B. True
C. False
D. True
Step-by-step explanation:
Only three dimensional subspace for R3 is R3 itself. In a 3 d subspace there are 3 basis vectors which are all linearly independent vectors. Dimension of a vector is number of subspace in that vector. Finite set can generate infinite dimension vector space.
Answer:
9/16
Step-by-step explanation:
