We have to solve x in terms of a, b and c:
a x - 3 b = c
a x - 3 b + 3 b = c + 3 b
a x = c + 3 b
x = ( c + 3 b ) : a
Answer:
4 ) ( c + 3 b ) / a
The greatest number of baskets Chloe can make is 42 basket
Step-by-step explanation:
Chloe is making gift baskets with soaps and lotions
- She has 127 soups
- She has 85 bottles of lotion
- She will put two bottles of lotion and three soups in each gift basket
We need to know the greatest number of baskets Chloe can make
∵ There are 127 soups
∵ She will put 3 soups in each basket
∵ 127 ÷ 3 =
∴ She can make 42 basket of three soups
∵ There are 85 bottles of lotion
∵ She will put 2 bottles of lotion in each basket
∵ 85 ÷ 2 =
∴ She can make 42 basket of two bottles of lotion
∴ The greatest number of baskets of two bottles of lotion and three
soups is 42
The greatest number of baskets Chloe can make is 42 basket
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<h2>
Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:
First pair of opposite sides:
<u>Slope:</u>
Second pair of opposite sides:
<u>Slope:</u>
So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:
So the diagonals measure the same, therefore this is a rectangle.
2.) line passes through points (-1, -4) and (0, -1)
slope = (y2 - y1)/(x2 - x1) = (-1 - (-4))/(0 - (-1)) = (-1 + 4)/(0 + 1) = 3/1 = 3
4.) line passes through points (0, -3) and (2, 0)
slope = (0 - (-3))/(2 - 0) = (0 + 3)/2 = 3/2