I think the answer could be A but I'm not so sure because at first Kayla has 6 boxes with x amount of books in the boxes with four left over so the equation would be 6x+4= number of books. So if she then replaces the now five boxes with x amount of books in them and adds four books to each of the five boxes you get 5x+4=number of books so it all equals out to the same number of books on both sides of the equal sign for 6x+4=5x+4
Answer:
2.67
Step-by-step explanation:
They are asking for the total poundage of power pasta after some is removed. This means we subtract the amount removed from the original amount.
Hope this helps you
Answer:
The possible y-coordinate of point C is 6
Step-by-step explanation:
The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.
Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.
The area of a triangle = 1/2 × base × height
6 = 1/2 × 3 × height
height = (2 × 6) / 3 = 4 units
Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2
The coordinate of point C is either (-1, 6) or (-1, -2)
Let the number of sodas sold be x and the number of hotdogs sold be y. We can assemble a system of equations from the information given and solve.
x+y=170 (We know that soda + dogs is 170)
x-50=y (We know that dogs is equal to 50 less than sodas)
We can use substitution to solve this system of equations.
x+y=170
Sub in the value of y from the second equation
x+(x-50)=170
2x-50=170
2x=220
x=110
We now know the number of sodas sold was 110. Lets now plug this value into the equation to solve for y.
x+y=170
110+y=170
y=60
So, there were 60 hotdogs sold and 110 sodas sold.
The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is
= –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>


<u>Point-slope formula:</u>

Substitute the given values in the formula, we get



Subtract 3 from both sides of the equation.


Hence the equation of the parallel line is y = –2x – 11.