For this item, we represent first the proportionality constant by the variable k. Being directly proportional to both b and c, these variable will be in numerator and d will be in the denominator. That is,
a = kbc / d
Substituting the known values,
400 = k(16)(5) / (2)
The value of k is 10. The equation that models the relationship is therefore,
a = 10bc/d
Answer:
2 pieces
Step-by-step explanation:
Given
![Length = 1\frac{2}{3}m](https://tex.z-dn.net/?f=Length%20%3D%201%5Cfrac%7B2%7D%7B3%7Dm)
![Pieces = \frac{3}{4}m](https://tex.z-dn.net/?f=Pieces%20%3D%20%5Cfrac%7B3%7D%7B4%7Dm)
Required
Calculate the number of pieces
To do this, we have to divide the length of the wood by the length of each piece.
Represent this with x
![x= \frac{Length}{Pieces}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7BLength%7D%7BPieces%7D)
![x= 1\frac{2}{3}/\frac{3}{4}](https://tex.z-dn.net/?f=x%3D%201%5Cfrac%7B2%7D%7B3%7D%2F%5Cfrac%7B3%7D%7B4%7D)
Convert mixed numbers to improper fraction
![x= \frac{5}{3}/\frac{3}{4}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B5%7D%7B3%7D%2F%5Cfrac%7B3%7D%7B4%7D)
Change division to multiplication
![x= \frac{5}{3}*\frac{4}{3}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B5%7D%7B3%7D%2A%5Cfrac%7B4%7D%7B3%7D)
![x= \frac{20}{9}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B20%7D%7B9%7D)
![x = 2.22](https://tex.z-dn.net/?f=x%20%3D%202.22)
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Answer:
A) The areas of both figures are equal.
B) The area of the rectangle is 15 m^2.
Step-by-step explanation:
The area of the rectangle is the product of its length and width:
A = LW = (5 m)(3 m) = 15 m^2
The area of the triangle is half the product of the dimensions of its base and height.
A = (1/2)bh = (1/2)(6 m)(5 m) = 15 m^2
The areas of both figures are 15 m^2.
Answer:
A, C and D are continuous
Step-by-step explanation:
A is a set of any number x which 30 < x <=45
B is a set that contains only 3 and 7
C is a set of any number x which 60 <= x < 100
D is a set of any number x which -infinity < x < + infinity
E is a set that contains only even whole numbers
A continuous data set is a quantitative data set representing a scale of measurement that can consist of numbers other than whole number, like decimals and fractions.
Answer: 6,048
Step-by-step explanation:
15,000-8,952=6,048