Answer:
paper clips = $1.85
index cards = $3.95
Step-by-step explanation:
Mark
12 paper clips = x
10 index cards = y
$61.70 total
Janice
15 paper clips = x
7 index cards = y
$55.40 total
12x + 10y = 61.70
15x + 7y = 55.40
*** you want to cancel out one of the letters
(12x + 10y = 61.70) * -7
(15x + 7y = 55.40) * 10
-84x -70y = -431.9
150x + 70y = 554.0
150x + 70y = 554.0
-84x -70y = -431.9
66x + 0 = 122.1
66x = 122.1
x = 122.1 ÷ 66
x = 1.85
plug it back in
15(1.85) + 7y = 55.40
27.75 + 7y = 55.40
7y = 55.40 - 27.75
7y = 27.65
y = 27.65 ÷ 7
y = 3.95
Y - y1 = m(x - x1)
slope(m) = 6/7
(-9,6)....x1 = -9 and y1 = 6
now we sub...pay close attention to ur signs
y - 6 = 6/7(x - (-9)....not done yet
y - 6 = 6/7(x + 9) <===
Answer:
Height of cylinder is 
.
Step-by-step explanation:
Diameter of cylinder, D = 6 feet
Relation between Radius, R and diameter, D is given by:
So, radius, R = 
feet
Let height of cylinder be 
feet.
Formula for volume of cylinder is given by:
Where, R is the radius of base of cylinder
and H is the height of cylinder
We are given that,
Using formula for volume,
Hence, Height of cylinder is .
Answer:
+10 or -10
Step-by-step explanation:
square root both sides
