She can make 3 batches. 3 batches will take 3 3/4 cups. If she made 4 it would take 5 cups
9514 1404 393
Answer:
Step-by-step explanation:
Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...
x + y = 85 . . . . . combined weight of a large and small box
70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes
We can subtract 50 times the first equation from the second to find the weight of a large box.
(70x +50y) -50(x +y) = (5350) -50(85)
20x = 1100 . . . . simplify
x = 55 . . . . . . . divide by 20
Using this in the first equation, we can find the weight of a small box.
55 +y = 85
y = 30 . . . . . . . subtract 55
A large box weighs 55 pounds; a small box weighs 30 pounds.
Answer:
7 , 8 , 9
Step-by-step explanation:
Assume three consecutive number are,
x , (x+1) , (x+2)
Multiplied by 2 ,3 and 4 respectively
2x , 3(x + 1) , 4(x + 2)
Sum of all = 74
So,
2x + 3(x + 1) + 4(x + 2) = 74
2x + 3x + 3 + 4x + 8 = 74
9x + 11 = 74
9x = 63
x = 7
So,
x , (x+1) , (x+2)
7 , (7+1) , (7+2)
7 , 8 , 9
First, we need to isolate the variable x.
To isolate x, we simply need to multiply both sides by 9, which would result in x = 9
Answer:
w = x = 36
Step-by-step explanation:
In the largest triangle, the longest side is x
The shortest side = 18
In the smaller triangle the longest side is 6
The shortest side is 3
You can set up a ratio
x/18 = 6/3 Divide the right side by 3
x/18 = 2 Multiply both sides by 18
18 *x / 18 = 2 * 18
x = 36
