Ruby needs a cup of powdered milk and six cups of whole wheat to prepare four batches of pancakes.
Given the <em>quantities</em> of powdered milk and whole wheat to prepare a batch of pancakes, we can determined the <em>total</em> amount of each ingredient by simple rule of three:
Powdered milk
Whole wheat
Ruby needs a cup of powdered milk and six cups of whole wheat to prepare four batches of pancakes.
To learn more on simple rule of three (cross multiplication), we kindly invite to check this verified question: brainly.com/question/8647106
Answer:
2 and a half books.
Step-by-step explanation:
3/8×6=?
I simplified it by dividing 8 and 6 with 2 to get:
3/4×3=9/4
in whole numbers it will be, 2 and a half books
Step-by-step explanation:
Let the original speed of the train be x km/h.
Time taken to cover a distance of 360 km = 360/x hours.
New speed of the train = (x+5) km/h.
Time taken to cover a distance of 360 km at new speed = 360/x+5 hours.
Since, the train takes 1 hour less time,
∴360/x - 360/ x+5 = 1
⇒360 (5) = x² + 5x
⇒1800 = x² + 5x
⇒x² + 5x - 1800 = 0
⇒x² + 45x - 40x - 1800 = 0
⇒x (x+45) - 40( x +45) = 0
⇒(x+45) (x-40) = 0
⇒x = (-45), 40
But since speed cannot be in negative.
∴x = 40 km/hr.
Hence, the original speed of the train is 40 km/h.
Answer:
B
Step-by-step explanation:
Use the Law of Cosines to find the measure of segment c:
c ≈ 23.01593821 km ≈ 23 km
Since c = 23 km, our only options are choices B and D. Now, let's find the measure of angle A to confirm. To do this we will use the Law of Sines:
![\frac{sin(A)}{a} =\frac{sin(C)}{c} \\\\\frac{sin(A)}{12}=\frac{sin(134)}{23.01593821}\\\\sin(A)=12(\frac{sin(134)}{23.01593821})\\\\A=sin^{-1}[12(\frac{sin(134)}{23.01593821})]\\\\](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%20%3D%5Cfrac%7Bsin%28C%29%7D%7Bc%7D%20%5C%5C%5C%5C%5Cfrac%7Bsin%28A%29%7D%7B12%7D%3D%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%5C%5C%5C%5Csin%28A%29%3D12%28%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%29%5C%5C%5C%5CA%3Dsin%5E%7B-1%7D%5B12%28%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%29%5D%5C%5C%5C%5C)
A ≈ 22.02726885° ≈ 22°
Since the measure of c = 23 km and the measure of angle A = 22°, the answer must be choice B.
