Answer:
y = 1/2x - 9
General Formulas and Concepts:
<u>Alg I</u>
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: 4x - 8y = 72
<u>Step 2: Find slope-intercept form</u>
- Subtract 4x on both sides: -8y = 72 - 4x
- Divide both sides by -8: y = -9 + 1/2x
- Rewrite: y = 1/2x - 9
There are few ways to count it. One of them is:
400 miles on 15-gallon tank
400 / 15 = 26,66666666666667 miles per 1 gallon (looks weirdly but we'll get a nice result in a second)
So 26,66666666666667 * 6 gallons = 160 miles
Answer: Landon's SUV can travel 160 miles on 6 gallons.
0.05797
Use standard Division to get your answer but in most classes you won’t be given an answer that big and you should use s calculator
Answer:
First brand = 18 gallons
Second brand = 12 gallons
Step-by-step explanation:
Let the first brand brand be A and the second brand be B.
Thus, since he wants to obtain 30 gallons of a mixture that contains 30% pure antifreeze, then we have;
A + B = 30 - - - (eq 1)
Also; The first brand is 20% pure antifreeze, and the second brand is 45% pure antifreeze. Thus;
0.2A + 0.45B = (0.3 × 30)
0.2A + 0.45B = 9 - - - (eq 2)
From eq 1, we have; A = 30 - B
Put 30 - B for A in eq 2;
0.2(30 - B) + 0.45B = 9
6 - 0.2B + 0.45B = 9
0.25B = 9 - 6
0.25B = 3
B = 3/0.25
B = 12
Thus, A = 30 - 12 = 18 gallons
