Answer:
Well, how many were left over? Mrs. Adams has a muffin factory and made 1 million muffins. Carl ate 2/5 or 40% or 400,000 muffins, and John ate 25. 599,975 muffins were shipped for sale. That meets the stated requirements.
Hence, we have to guess there were supposed to be no muffins left over.
In that case, Mrs. Adams baked 125/3 muffins, Carl ate 2/5 of them = 50/3, leaving 75/3 = 25 for John.
Step-by-step explanation:
x muffins baked, 2/5 eaten by Carl, 3/5 left to be eaten by John, who ate 25 before running out.
3/5 x = 25
x = 25 × 5/3 = 125/3 = 41 + 2/3
Or, Start with x muffins. Carl ate 2/5 x, leaving 3/5 x. John ate 25 with zero left over. So 3/5 x = 25.
(x - 2/5 x) - 25 = 0
3/5 x = 25
x = (5/3) × 25 = 125/3.
Answer:
A. the difference of two squares
Step-by-step explanation:
Please use the symbol " ^ " to indicate exponentiation.
Then we have x^2 - 11^2, which is the difference of two squares:
x^2 is a square, the square of x; and 11^2 is a square, the square of 11.
A. the difference of two squares
Note that a "difference of squares" is easily factored:
a² - b² = (a - b)(a + b)
and so your x² - 11² factors as follows: (x - 11)(x + 11)
So, this is a proportion problem. If we express 75% as a fraction (3/4ths), we have:
Since he won all of his games, we add the number won (x), to the number previously won and divide it by the total games played which is just the previous games played plus the number of current games played, so since he lost no games we still add x to the denominator as well. Solving this gives us:
That x value is 20.
Answer:
a. Speed of flight * ( total spent away from hive - time stayed on flower bed)
b. The flower bed is 2,400 ft from the hive
Step-by-step explanation:
a. Mathematically, the distance will be ;
the speed * time taken
Given that he stays a total of 17 minutes away from the hive and he stayed 15 minutes in the flower bed, the time it used on the flower bed will be 17 minutes - 15 minutes = 2 minutes
So the distance from the flower bed to the hive is;
Speed of flight * ( total spent away from hive - time stayed on flower bed)
b. We want to find the distance of the flower bed from the hive
That will be;
20 ft per second * 2 minutes (120 seconds)
= 20 * 120 = 2,400 ft
