Answer:
x = 66
Step-by-step explanation:
m<5 + m<6 = 180
2x + 48 = 180
2x = 132
x = 66
Answer:
V = 300x + -70x2 + 4x3
Step-by-step explanation:
Simplifying
V = (20 + -2x)(15 + -2x)(x)
Reorder the terms for easier multiplication:
V = x(20 + -2x)(15 + -2x)
Multiply (20 + -2x) * (15 + -2x)
V = x(20(15 + -2x) + -2x * (15 + -2x))
V = x((15 * 20 + -2x * 20) + -2x * (15 + -2x))
V = x((300 + -40x) + -2x * (15 + -2x))
V = x(300 + -40x + (15 * -2x + -2x * -2x))
V = x(300 + -40x + (-30x + 4x2))
Combine like terms: -40x + -30x = -70x
V = x(300 + -70x + 4x2)
V = (300 * x + -70x * x + 4x2 * x)
V = (300x + -70x2 + 4x3)
Solving
V = 300x + -70x2 + 4x3
Solving for variable 'V'.
Move all terms containing V to the left, all other terms to the right.
Simplifying
V = 300x + -70x2 + 4x3
Answer:
Cost of shrubs = 23
Cost of tree = 47
Step-by-step explanation:
Let
Cost of shrubs = x
Cost of tree = y
13x + 4y = 487 (1)
6x + 2y = 232 (2)
Multiply (2) by 2
12x + 4y = 464 (3)
13x + 4y = 487 (1)
Subtract (3) from (1)
13x - 12x = 487 - 464
x = 23
Substitute x = 23 into (2)
6x + 2y = 232 (2)
6(23) + 2y = 232
138 + 2y = 232
2y = 232 - 138
2y = 94
y = 94/2
= 47
y = 47
Answer:
1 3/10
Step-by-step explanation:
5 1/5 ÷ 4= 1 3/10
Answer:
Step-by-step explanation:
1 = 1/16 (one chance on 16
2 = 7/16 (the non shaded parts are 7, while the total parts are 16)
3 = 11/16 ( 11 is unshaded + even)
4 = 4/16 = 1/4 (the favourable possibilities are: 13, 14, 15, 16)