Answer:
The answer to your question is: 2.26%
Step-by-step explanation:
Data
densities 2.49 g/cm3, 2.56 g/cm3, 2.72 g/cm3
accepted value = 2.65 g/cm3
Process
mean = (2.49 + 2.56 + 2.72) / 3 = 7.77 / 3
= 2.59 g/cm3
% error = | approx. - exact| / exact x 100
% error = | 2.59 - 2.65 | / 2.65 x 100
% error = | -0.06| / 2.65 x 100
% error = 0.06/2.65 x 100
% error = 2.26 %
20% off means you paid only 80% of the original price.
0.8x=40
x=40÷0.8=50
so the original price is 50
Answer:
Orange = 12
Grape = 15
Cola = 23
Step-by-step explanation:
Turning this into equations you can give each soda a variable
Cola = C | Grape = G | Orange = R
Then you get:
8 + G = C
R + 3 = G
C + G + R = 50
We want to get a variable all by itself in an equation so first I'm going to put the second equation (R + 3 = G) in the first (8 + G = C) by replacing the G to get
8 + (R + 3) = C Combine the variables 11 + R = C and put that new equation into the last equation
(11 + R) + G + R = 50
Now plug our original second equation (R + 3 = G) into our third to get
(11 + R) + (R + 3) + R = 50
Combine and get
14 + 3R = 50 Subtract over the 14
3R = 36 Divide by 3
Orange Sodas = 12
Our new 3rd Equation is now: C + G + 12 = 50, subtract over 12 to get
C + G = 38
Plug either equation 1 or 2 into that one, I'll do 1
(8 + G) + G = 38
8 + 2G = 38
2G = 30
Grape Sodas = 15
Now our 3rd equation is C + 15 = 38, subtract over 15
Cola Sodas = 23
Orange = 12
Grape = 15
Cola = 23
12 + 15 + 23 = 50
Move both constants to the right than change the sign
4b=-9-3
then calculate -9-3 which is -12
now we have 4b=-12
now we isolate 4 by dividing both sides of the equation
4b= -12
which is
b= -3
so no