Answer:
Equation: y = 65x
Randomly pick a x and y value and plug into above equation, if they don't equal then the x and y you've picked cannot be on this table.
Step-by-step explanation:
Pick any two points to find slope, let's got with (3, 195) and (4, 260):
slope m = (y₂- y₁) / (x₂ - x₁)
= (260 - 195) / (4 - 3)
= 65 / 1
m = 65
Find y-intercept by using m from above and another point from your table, let's go with (5, 325):
y = mx + b
325 = 65(5) + b
325 = 325 + b
b = 0
Use m and b to form equation of line:
y = mx + b
y = 65x + 0
y = 65x
Check:
point (3, 195): 195 = 65(3) ====> 195 = 195
point (4, 260): 260 = 65(4) ====> 260 = 260
point (5, 325): 325 = 65(5) ====> 325 = 325
point (6, 390): 390 = 65(6) ====> 390 = 390
Example of a point that doesn't belong on table:
point (8, 500): 500 = 65(8) ====> 500 ≠ 520
Answer:
10 quarters, 23 dimes
Step-by-step explanation:
Make dimes = d and quarters = q. Let the number of dimes and quarters add up to 33 and the value of the dimes and quarters add up to 4.80. The system of equations should look like:
- d + q = 33
- 0.10d + 0.25q = 4.80
Solve for d in the first equation. Subtract q from both sides.
d = 33 - q
Substitute d into the second equation.
0.10(33 - q) + 0.25q = 4.80
Distribute 0.10 inside the parentheses.
3.3 - 0.10q + 0.25q = 4.80
Combine like terms.
3.3 + 0.15q = 4.80
Subtract 3.3 from both sides.
0.15q = 1.5
Divide both sides by 0.15.
q = 10
Substitute this value of q into where we solved for d (d = 33 - q).
d = 33 - (10)
d = 23
You must first attach the problems with your question.
Answer:62 purple
31 red
Step-by-step explanation:
93/3= 31 to find how many of each color.
31+31=62 purple
31 red
Answer:
0
Step-by-step explanation:
