Answer:
1. (3, 5)
2. (1/2, 4)
Step-by-step explanation:
To find the coordinates of the midpoint of a segment, find the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.
1. (1, 2) and (5, 8)
x-coordinate of midpoint = (1 + 5)/2 = 6/2 = 3
y-coordinate of midpoint = (2 + 8)/2 = 10/2 = 5
Midpoint: (3, 5)
2. (0, 1) and (1, 7)
x-coordinate of midpoint = (0 + 1)/2 = 1/2
y-coordinate of midpoint = (1 + 7)/2 = 8/2 = 4
Midpoint: (1/2, 4)
Answer:
3 1/9
Step-by-step explanation:
when taking a fraction and making it a mixed number, you divide the numerator by the denominator. whatever you have left after dividing is your numerator, and denominator stays the same. hope this helps!
Answer:
26
8 2/3
Step-by-step explanation:
4 1/3 ×6
13/3×6
13/1×2=26
2 3/5 × 3 1/3
13/5 × 10/3
13/1 × 2/3
26/3=8 2/3
Answer:
3.5kg
Step-by-step explanation:
Let original weight of grapes in box be X and weight of grapes in basket be Y.
From the first sentence
X = 2Y (weight in box = 2 times weight in basket) --- (1)
If you add 2kg of grapes to basket, the weight of grapes in basket = Y + 2
From the second statement
Y + 2 = X + 0.5
Subtracting Y from the LHS gives 2 = X - Y + 0.5
Subtracting 0.5 from both sides gives 2-0.5 = X - Y or X - Y = 1.5 --- (2)
Substituting for X from the first equation in (2) we get
2Y - Y = 1.5 or Y = 1.5kg
But this is the original weight of the grapes in the basket. Since we have added 2 kg of grapes to the original weight, we get the weight of grapes in basket now as 1.5 + 2.0 = 3.5kg
