Answer:
Supermarket gets 300 cupcakes.
Step-by-step explanation:
Given,
Total cupcakes = 525,
Since, the ratio of bakery and supermarket cupcakes = 3 : 4,
Let the bakery cupcakes = 3x and supermarket cupcakes = 4x
Where x is any positive real number.
So, the total cupcakes = 3x + 4x = 7x
![\implies 7x = 525](https://tex.z-dn.net/?f=%5Cimplies%207x%20%3D%20525)
Divide both sides by 7,
![x=75](https://tex.z-dn.net/?f=x%3D75)
Hence, the supermarket cupcakes = 4(75) = 300
5^-2 = 1/25
4^3 = 64
7^-2 = 1/49
9^2 = 81
Area = Square - Circle
Area of Square = 10² = 100 m²
Area of Circle = π(5²) = 25π m²
Area of Shaded Region = 100 - 25π = 21.5 m² approx.
answer: second choice
Answer: Option D
Since Point M is the middle of Line JK
You’ll need to find the difference between Point K and M in x and y coordinates.
Since they are equal, you can just subtract Point M from the Difference to get Point J.
X coordinate difference =
-6 - (-2) = -6 + 4 = -4
Y coordinate difference =
-2 - (4) = -2 - 4 = -6
Point J X coordinate =
-6 -4 = -10
Point J Y coordinate =
-2 -6 = -8
And hence the answer is
(-10,-8)
Answer: OPTION D: ![\frac{3}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B32%7D)
Step-by-step explanation:
By definiton, fractions have the following form:
![\frac{a}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D)
Where "a" is called numerator and "b" is the denominator. The numerator and the denominator are Integers.
In order to solve this exercise you need to remember de Division of fractions:
![\frac{a}{b}\div\frac{d}{e}=\frac{a}{b}*\frac{e}{d}=\frac{a*e}{b*d}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%5Cdiv%5Cfrac%7Bd%7D%7Be%7D%3D%5Cfrac%7Ba%7D%7Bb%7D%2A%5Cfrac%7Be%7D%7Bd%7D%3D%5Cfrac%7Ba%2Ae%7D%7Bb%2Ad%7D)
In this case, according to the information given in the exercise, you know that
of rubies are divided into 4 lots.
Therefore, in order to calculate the weight in pounds of each lot, you need to divide
by 4.
Then, you get the following result:
![\frac{3}{8}\ lb\div4=(\frac{3}{8}\ lb) (\frac{1}{4})=\frac{3}{8*4}\ lb=\frac{3}{32} \ lb](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%5C%20lb%5Cdiv4%3D%28%5Cfrac%7B3%7D%7B8%7D%5C%20lb%29%20%28%5Cfrac%7B1%7D%7B4%7D%29%3D%5Cfrac%7B3%7D%7B8%2A4%7D%5C%20lb%3D%5Cfrac%7B3%7D%7B32%7D%20%5C%20lb)
As you can notice, this result matches with the Option D.