Answer: The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept.
4x - 3y = 17.....multiply by 4
5x + 4y = 60 ...multiply by 3
-----------------
16x - 12y = 68 (result of multiplying by 4
15x + 12y = 180 (result of multiplying by 3
-----------------add
31x = 248
x = 248/31
x = 8
4x - 3y = 17
4(8) - 3y = 17
32 - 3y = 17
-3y = 17 - 32
-3y = - 15
y = -15/-3
y = 5
solution is (8,5) <==
Answer:
≈9.64 gallons
Step-by-step explanation:
To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.
4.5 quarts = 7 minutes
First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1
4.5/7 quarts = 1 minute
Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60
4.5 * 60 / 7 quarts = 60 minutes = 1 hour
We now know how many quarts are in an hour, so we can now convert quarts to gallons
4 quarts = 1 gallon
divide both sides by 4
1 quart = 1/4 gallons
To get from quarts to gallons, we can divide by 4, so we have
(4.5 * 60 / 7)/4 = 4.5 * 60 / 28
≈9.64 gallons
Answer:
72 cubic inches
Step-by-step explanation:
The volume of a rectangular prism shape, such as a brick, is the product of its dimensions:
V = LWH
V = (8 in)(4 in)(2.25 in) = 72 in^3
The volume of each brick is 72 cubic inches.
Answer:
The lines intersect once at (2, −1).
A graphic solution to a system of equations is only as accurate as the scale of the paper or precision of the lines. At times the point of intersection will need to be estimated on the graph. When an exact solution is necessary, the system should be solved algebraically, either by substitution or by elimination.
Step-by-step explanation:
hope i helped
