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
The answer tothis question is two
Answer:
The next 3 steps are
Step 4: 
Step 5: 
Step 6: 
Step-by-step explanation:
Given:
Quadratic Equation is
x² + 4x - 6 = 0
To Find:
x = ?
Solution:
Step 1: x2 + 4x = 6
Step 2: x2 + 4x + 4 = 6 + 4
Step 3: (x + 2)2 = 10
Step 4:
Step 5:
Step 6:
Answer:
16 cm
Step-by-step explanation:
A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.
Since this is a right triangle, use the pythagorean theorem to find the value for x.
let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.
The pythagorean theorem is: c^2 = a^2 + b^2.
18^2 = 7^2 + x^2324 = 49 +x^2
x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm
