Answer:
470
Step-by-step explanation:
1323 rounds to 1320
443 rounds to 440
409 rounds to 410
1320 - (440 + 410) =
1320 - 850 =
470 <===
Answer:
There were 45 pies sold in all.
Step-by-step explanation:
10 + 15 = 25
25 + 20 = 45
Answer: it’s D
Step-by-step explanation: I just did it on edge
Answer:
x = 1/4
y = -1/2
z = 9/4
Step-by-step explanation:
Here we have a system of 3 equations with 3 variables:
4*x + 2*y + 1 = 1
2*x - y = 1
x + 3*y + z = 1
The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:
2*x - y = 1
2*x - 1 = y
Now that we have an expression equivalent to "y", we can replace this in the other two equations:
4*x + 2*(2*x - 1) + 1 = 1
x + 3*(2*x - 1) + z = 1
Now let's simplify these two equations:
8*x - 1 = 1
7*x - 3 + z = 1
Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:
8*x - 1 = 1
8*x = 1 + 1 = 2
x = 2/8 = 1/4
Now that we know the value of x, we can replace this in the other equation to find the value of z.
7*(1/4) -3 + z = 1
7/4 - 3 + z = 1
z = 1 + 3 - 7/4
z = 4 - 7/4
z = 16/4 - 7/4 = 9/4
z = 9/4
Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:
y = 2*(1/4) - 1
y = 2/4 - 1
y = 1/2 - 1
y = -1/2
Then the solution is:
x = 1/4
y = -1/2
z = 9/4
Answer:
Step-by-step explanation:
1 Us pint = 16 Us fluid ounces
It means that 8 pints of water would be
8 × 16 = 128 fluid ounces
Each batch of lemonade uses 24 fluid ounces of lemon juice and 8 pints of water. The total number of fluid ounces in each batch is
128 + 24 = 152 fluid ounces
Also,
1 fluid ounce = 0.125 Us cups
Therefore, the number of cups made is
152 × 0.125 = 19 cups
If each serving is 1 cup, then the number of servings that she made from each batch of lemonade is 19
servings. The number of batches made is 6. Therefore, the number of servings made altogether is
6 × 19 = 114
If her brother came and spilled half of it on the floor, then the number of servings that she have left after that for her party is
114/2 = 57 servings
