Answer:
x = 25
Step-by-step explanation:
Vertical opposite angles are equal.
(4x - 25) = 75
4x - 25 = 75
4x = 100
x = 25
Your first equation is 4x + 7y= 32, the x’s representing the brushes and the y’s the tubes of paint. Our second equation is 6x+8y=43. What I did is I multiplied the first equation by 1.5 so that it turns into 6x+10.5y=48. Then I subtracted the second equation from the first, canceling out the x’s and leaving us with 2.5y=5. Then divided and got y=2. We then go back to any of the original equations and plug it in to get the x’s.
6x+8(2)=43. We get 6x+16=43. We subtract and are left with 6x=27 and then x=4.5. Then plug both of them in to a different equation to double check. You could also use substitution by isolating one of the variables in one equation and then plugging it in to the other one.
Answer:
{-2,4,8}
Step-by-step explanation:
The range of a function represents all of the y-values.
In this case, you have y-values of (-2,4,-2, 8)
Since it hasn't been stated whether the function is continuous or not, we can just assume the function only has values at those points.
Thus the range is {-2,4,8}
Answer:
$520.96
Step-by-step explanation:
The composite is made up of 2 semicircles and a rectangle:
⇒ Radius of the circle = 2 ft
⇒ Length of the rectangle = 5 ft
⇒ Width of the rectangle = 4 ft
Area
⇒ π(2)² + (5 x 4)
⇒ 4π + 20
⇒ 32.56 ft²
Cost
= 32.56 x 16
= $520.96
