We have that in this case the following equalities are met:
DH = HF
x + 3 = 3y
GH = HE
3x - 3 = 5y + 4
We then have the following system of equations:
x-3y = -3
3x-5y = 7
Resolving the system graphically we obtain the following values:
x = 9
y = 4
Note: see attached image.
Answer:
The values of x and y are:
x = 9, y = 4
4b+2c=36, solve for b, subtract 2c from both sides
4b=36-2c divide both sides by 4
b=9-0.5c
Then we are told that:
7b+3c=59, using b=9-0.5c we get:
7(9-0.5c)+3c=59 perform indicated multiplication on left side
63-3.5c+3c=59 combine like terms on left side
63-0.5c=59 subtract 63 from both sides
-0.5c=-4 divide both sides by 0.5
c=8
So each souvenir cup costs $8.
(and each bag of cotton candy is $5)
32 slices of pizza. This is cuz 4*8=32
The Kingdom Eubacteria contain the ________ bacteria.
Answer:
The fraction is 32/27
Step-by-step explanation:
let the fraction be x/y
x - y = 6
x = 6 + y ••••••(i)
This is according to the first sentence
Furthermore;
x/y-5 = 3/2
2x = 3(y-5) •••••(ii)
Substitute
2(6 + y) = 3y - 15
12 + 2y = 3y - 15
3y -2y = 12 + 15
y = 27
x = 6 + y
x = 6 + 27 = 33