Answer:
y = -2/7x - 22/7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, -2)
Point (3, -4)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Add:

<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = -2/7x + b
- Substitute: -4 = -2/7(3) + b
- Multiply: -4 = -6/7 + b
- Isolate <em>b</em>: -22/7 = b
- Rewrite: b = -22/7
<u>Step 4: Write linear equation</u>
y = -2/7x - 22/7
The house with 30000 cubic foot costs less to cool per cubic foot than the house with 25000 cubic foot.
Step-by-step explanation:
The cost of cooling 30000 cubic foot house = $7
Cost per cubic foot = 7/30000
=$0.00023
The cost of cooling 25000 cubic foot house= $6.50
Cost per cubic foot=6.50/25000
= $0.00026
The house with 30000 cubic foot costs less to cool per cubic foot than the house with 25000 cubic foot.
Answer:
3/14
Step-by-step explanation:
5/7 minus 1/2 is 5/7 - 1/2
5/7 and 1/2 are both called proper fractions. 5 and 1 in each fraction are called the numerator while 7 and 2 are called denominators
5/7 - 1/2
Step one
Find the lowest common multiple (LCM) of the denominators of each fractions
Multiples of 7
7 x 1 = 7
7 x 2 = 14
7 x 3 = 21
Multiples of 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
2 x 5 = 10
2 x 6 = 12
2 x 7 = 14
The lowest common multiple of 2 and 7 is 14
Step 2
The LCM of 2 and 7 becomes the common denominator for both fractions.
14/7 = 2
14/2 = 7
5/7 - 1/2 = [2(5) - 7(1)]/14 = (10 - 7)/14
= 3/14
That’s 125 times 9!!! which is 1125!!!
The answer would be 280 because 28x10 is 280