Answer:
Adding and subtracting negative and positive numbers. Proportions, ratios, Rate of change. And even more.
Step-by-step explanation:
Hope this helped
Answer:
5.1 mph
Step-by-step explanation:
she ran 3 2/5 miles in 2/3 hours.
that is the essential information to solve the problem. everything else is just there to give you "atmosphere" and Shao to confuse you.
the question is simply : what was her speed in mph ?
that means we need to bring the ratio of
3 2/5 miles / 2/3 hours
to 1 hour in the denominator (instead of 2/3 hours).
because we need that to express miles per (one) hour.
so, what do we need to multiply 2/3 with to get 1 (=3/3) ?
2/3 × x = 1
2x = 3
x = 3/2
so, to get 1 hour, we need to multiply the denominator by 3/2.
and to keep the original value of the ratio, we need to multiply also the numerator by the same 3/2.
speed = (3 2/5 miles × 3/2) / (2/3 hours × 3/2) =
= (17/5 miles × 3/2) / (1 hour) = 51/10 miles / 1 hour =
= 5.1 miles / 1 hour = 5.1 mph
Answer:
--- first quartile
--- third quartile
Step-by-step explanation:
Required:
The first and the third quartile
First, we order the dataset in ascending order
The count of the dataset is:
Calculate the median position
This means that the median is between the 12th and the 13th item
Next;
Split the dataset to two parts: 1 to 12 and 13 to 24
The median position is:
In this case; n = 12
So:
This means that the median is the average of the 6th and 7th item of the sorted dataset
So, we have:
--- first quartile
--- third quartile
Answer:
a = 104
Step-by-step explanation:
a = 104 because it is an inscribed angle with an arc of 208 degrees
3/4 * 5= 3 3/4 cartons. You can’t buy 3/4 of a carton so Grandma would need to buy 4 cartons of all-purpose cream.
2/3 * 5= 3 1/3. But you can’t buy 1/3 of a carton, so grandma needs to buy 4 cartons of condensed milk.
All together, Grandma needs to buy 4 cartons of all-purpose cream and 4 cartons of condensed milk to make 5 fruit cakes.