Recipe is for 24 pieces, and required quantity is 16.
So the ratio is 16/24 = 2/3 means we need to reduce all ingredients to 2/3 of the given quantities. Not all recipes can be reduced prorata, but we will assume it can be done. A word of caution: the measurement of quantities will become awkward (like 3/8 of a teaspoon of salt, etc). The practical way is to make the full recipe, and invite friends to take home the remainder.
Here's the scaled recipe
Butter 1cup*3/4 = 3/4 cup
unsweetened chocolate = 4*3/4 = 3 squares
white sugar = 2 * 3/4 = 1 1/2 cups
eggs = 4 * 3/4 = 3 eggs
A.P. flour = 1 cup * 3/4 = 3/4 cups
vanilla extract = 1 * 3/4 = 3/4 teaspoons
salt = 1/2 * 3/4 = 3/8 teaspoons
chopped walnuts = 2 * 3/4 = 1 1/2 cups
For this reason, there is a trend to use weights (in grams) than volumes to make scaling recipes easier.
X/X+5=-2
please mark brainiest if this helped you out<span />
17 times 4, you get 68. 68 minus 35, your answer is 33
17*4=68
68-35=33
Since, we don't have the actual graph, I cannot give you a final answer. However, I can explain how to find the answer.
If you are looking for the color that the fans like the least, just pick the bar that is the smallest. This will be the correct answer.
<span>et us assume that the origin is the floor right below the 30 ft. fence
To work this one out, we'll start with acceleration and integrate our way up to position.
At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.
To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60
To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4
If the ball clears the fence, it means x = 0, y > 30
x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds
for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft
which is less than 30ft, so it means that the ball will NOT clear the fence.
Just for fun, let's check what the speed should have been :)
x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4
x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s
v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s
So he needed to hit the ball at at least 123.34 ft/s to clear the fence.
You're welcome, Thanks please :)
</span>
