Answer:
-2.5
I got -2.5 as slope because slope is equal to rise over run so that means
the equation would turn out as -29+9/15-7=-20/8
-20/8=-2 4/8,-2 1/2,1/2=0.5,so the answer turns into -2.5
Divide (1/6 cup cheese) into (7/8 cup cheese):
7
--
8 7 6
----- = --- * --- = 42/8 = 5 2/8 = 5 1/4 = 5.25
1 8 1
--
6
She can prepare her recipe 5 times, with some material left over.
Answer:
So both equations are true
Step-by-step explanation:
#4 was asking you to substitute x = 4 into both equations to see if it's the solution of the equations.
Substitute x = 4
Ritz equation
y = 30x + 20
y = 30(4) + 20
y = 120 + 20
y = 140
Smits equation:
y = 15x + 80
y = 15(4) + 80
y = 60 + 80
y = 140
Both companies charged same price $140 for 4 days
So both equations are true
1) Parallel lines have equal slopes.
We need to find the slope of the given line by solving for y.
5x - 15y = 30
-15y = -5x + 30
y = (1/3)x - 2
The slope of the given line is 1/3, so the slope of the parallel line is also 1/3.
2) Line 1 has slope 2/3.
Line 2 has slope 2/3.
3) Line 1 is a vertical line through x = 2. Line 2 is a horizontal line through y = -5. The lines are perpendicular.
4) The given line can is solved for y, so we can see its slope is -5/2. The slopes of perpendicular lines are negative reciprocals. The perpendicular line has slope 2/5. We have point (5, 0) which is (x1, y1) in the slope-point formula.
y - 0 = (2/5)(x - 5)
y = 2/5 x - 2
5) The given equation has slope -3. To find the negative reciprocal, write the slope as a fraction, flip it, and change the sign.
Slope of perpendicular line is 1/3.
Greetings!
Substitute:
Now we can input this into the other equation so, we only have one variable.
Solve for y.
Distribute the parenthesis.
Combine Like Terms.
Add
-50 to both sides.
Simplify.
Divide both sides by
0.01.
Simplify.
Input this value into the other equation.
Add
-700 to both sides.
Simplify.
The answer would be
300,700Hope this helps.
-Benjamin
