Answer:
Yes
Step-by-step explanation:
To check proportionality :
35 α 1000
35 = 1000k
k = constant of proportionality ;
Divide both sides by 1000 to obtain k
35 / 1000 = 1000k / 1000
0.035 = k
For the ratio Given :
Ratio of 7 parts of salt and 200 parts of water
7 : 200
7 / 200
= 0.035
Since,
k = 0.035 ; 7 / 200 = 0.035
Hence, a proportional relationship exists.
Answer: X=2 and y=3
Step-by-step explanation: 2x2=4 and 3x3=9 and 9+4=13
Answer:
52.8
Step-by-step explanation:
cube volume formula: BH
: 33 x 4.4 = 52.8
Answer:
8s
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
10s + -2s
<u>Step 2: Simplify</u>
- Rewrite: 10s - 2s
- Combine like terms: 8s
With amounts measured in gallons, let
x = amount of 65% antifreeze
y = amount of 90% antifreeze
1 gal of the 65% brand contains 0.65 gal of pure antifreeze; x gal would contain 0.65x gal. Similarly, y gal of the 90% brand contains 0.90y gal of pure antifreeze.
To obtain 120 gal of 80% antifreeze solution (which contains 0.80•120 = 96 gal of pure antifreeze), we must have
x + y = 120 … … … … … [total volume of antifreeze solution]
0.65x + 0.90y = 96 … [total volume of pure antifreeze]
Solve the first equation for y :
y = 120 - x
Substitute this into the second equation and solve for x :
0.65x + 0.90 (120 - x) = 96
0.65x + 108 - 0.90x = 96
0.25x = 12
x = 48
Solve for y :
y = 120 - 48
y = 72
