Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents
70 = 8b + 15c
he made a total of 7 copies
b + c = 7
system of equation:
70 = 8b + 15c
b + c = 7
--------------------------
b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c
plug in 7 - c for b
70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)
70 = 56 - 8c + 15c
Simplify like terms
70 = 56 - 8c + 15c
70 = 56 + 7c
Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides
70 (-56) = 56 (-56) + 7c
14 = 7c
divide 7 from both sides to isolate the c
14 = 7c
14/7 = 7c/7
c = 14/7
c = 2
c = 2
---------------
Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5
Jake made 5 black-and-white copies, and 2 color copies
hope this helps
3x = 149.97
x = 49.99
each game was 49.99
Answer:
1. Anything to do with the same slope but different a B (Ex. y=1/3x+1 and y=1/3x-8)
2. No solutions
Step-by-step explanation:
1. Because the two lines are <u>parallel</u>, when no intersection between two lines happens, there will need to be a change in the B but the same slope. Remember the formula for an equation is y=mx+b. The m stands for the slope. With parallel lines, slopes are the same. If lines were to never intersect, you would have to change the b to a different number so that both lines could keep going at the same time, but never intersect.
2. Remember, solutions only happen when the two lines intersect. Infinite solutions happen when the lines are the same. One solution happens when two lines only have one point where they intersect. No solutions happen when the two lines don't intersect at all. Based off the graph given, there are no intersections so, there will be no solutions.
Answer:
- <u><em>The volume of Carly's cube is 125 in³</em></u>
Explanation:
The volume of a cube is calculated as the length of the side raised to the cube:
<u>1. Cube drawn by Owen</u>
From the drawing:
<u>2. Cube drawn by Pat</u>
Side length is 3 units greater than the side length of Owen’s cube:
<u>3. Cube drawn by Carly</u>
Side length is 1/2 the side length of Pat’s cube:
- Side = (1/2) × 10 in = 5 in
- Volume = (5 in)³ = 125 in³
Centimeter, meter, kilometer, hectometer,
inch, foot, yard, and a mile.
or
centimeter, inch, foot, meter, yard, kilometer, mile, hectometer
