Answer:
You get 12$ per B and 15$ per A. Thus, the answer is A) $282
Step-by-step explanation:
4A+4B=108
Divide by 4
A+B=27
Subtract B
A = 27 - B
3A+5B=105
Substitution
3(27-B)+5B = 105
Distribute
81-3B+5B=105
Combine like terms
81+2B=105
Subtract 81
2B=24
Divide by 2
B = 12
A = 15
14(15)+6(12)=x
210+72=x
282=x
<em>Hope it helps <3</em>
Answer:
7. (4x +10)/(x^3 +3x^2 -16x -48)
9. -320/93
Step-by-step explanation:
7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.
6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))
= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator
= (6x +18 -2x -8)/((x -4)(x +3)(x +4))
= (4x +10)/((x^2 -16)(x +3))
= (4x +10)/(x^3 +3x^2 -16x -48)
_____
9. First you simplify the denominator:
2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400
Then you perform the division. This can be done by multiplying by the inverse of the denominator.
(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93
Answer: Any isosceles triangle is a counter example. More specifically, a triangle with sides 7, 7 and 3
When forming your triangle, make sure you apply the triangle inequality theorem. This is the idea where adding any two sides leads to a result larger than the third side. So we have
7+7 = 14 which is larger than 3
7+3 = 10 which is larger than 7
By definition, an isosceles triangle has two congruent sides. Some books say "at least 2 congruent sides", but I'll go with the first definition. If you want all three sides to be congruent, then you'd go for the term "equilateral".
Answer:
see explanation
Step-by-step explanation:
Given
y - 3x = 18
To find the y- intercept let x = 0 in the equation and solve for y
y - 3(0) = 18
y - 0 = 18
y = 18 ⇒ (0,18 ) ← y - intercept
To find the x- intercept let y = 0 in the equation and solve for x
0 - 3x = 18
- 3x = 18 ( divide both sides by - 3 )
x = - 6 ⇒ (- 6, 0 ) ← x- intercept
Divide total acres by total days:
18 acres / 6 days = 3 acres per day.
The rate is 3 acres per day.
