Answer:
a)1 cup of flour
b)67.5 minutes
Step-by-step explanation:
a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
From the above question, we know that:
27 dinner rolls = 3 cups of flour
9 dinner rolls = x
Cross Multiply
27 rolls × x = 9 rolls × 3 cups
x = 9 rolls × 3 cups/27 rolls
x = 1 cup of flour
Hence, 1 cup of flour is needed to make 9 dinner rolls
b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
From the above question:
4 km = 18 minutes
15km = x
Cross Multiply
4km × x = 15km × 18 minutes
x = 15km × 18minutes/4km
x = 67.5 minutes
Hence, in a 15km race , it would take her 67.5 minutes to complete her race.
Answer:
Its 3.3
Step-by-step explanation:
I took the quiz HOPE THIS HELPS!!!!
The amplitude is midway between the maximum and minimum values. The maximum is 6 and ther minimum is -3 (these are the y-values). That makes the amplitude (6- - 3) / 2 = 9/2 = 4.5
The period is the length of time (measured along the x-axis) for one full cycle. Notice that the function is at just over 1 (on the y-axis) when x = 0. It then drops to the minumum value and goes up to 2 (this looks like a V). Then the function continues increasing a little less sharply then more sharply before hitting the maximum value and heading back dwn. When x=5 the function is again at just over 1 and it repeats what I just explained. Since it took from x=0 to x=5 to see a full cycle (for the curve to do whatever it is before it started repeating) the period is 5.
Amplitude: 4.5
Period: 5
The answer is (-10,-7,0,98,145)
Given the relationship T^2 = A^3, to compare the values of the orbital periods of X and Y, it would be easier to assign values. Since the Planet Y's distance A is twice that of Planet X's distance A, this can be shown below:
For Planet X (where A = 2):
T^2 = 2^3
T = 2.828
For Planet Y (where A = 4)
T^2 = 4^3
T = 8
Therefore, planet Y's orbital period is larger by (8/2.828) = 2.83 times.