Answer:
the expressions are not equivalent
Step-by-step explanation:
7(x+2y) (distribute 7 into the parentheses)
= x(7) + 2y(7)
= (7x + 14y) ≠ (14x + 14y)
hence the expressions are not equivalent
Answer:
16 = 2x
Step-by-step explanation:
The pattern for a direct variation equation is y = kx
y is the "output" or result
k is the "constant" a number that doesn't change in the equation.
x is the "unknown" variable that makes the output of the equation true when found.
Here x=8
16 = 2(8)
Answer:
The quadrilateral is a trapezium as two of its opposite sides are perpendicular to one side. Rectangle is also a type of trapezium and so is a square
Hope this helps!
Answer:
m - n = 501
Step-by-step explanation:
Remark
The first thing you have to do is find the number of odd and even numbers. This is where you have to be careful because there is a danger of being out by one.
equation
l = a + (n - 1)*d
Solution even
l = 1000
a = 2
d = 2
1000 = 2 + (n - 1)*2
998/2 = (n - 1) * 2 / 2
499 = n - 1
n = 500
Solution odd
l = 1001
a = 1
d = 2
1001 = 1 + (n - 1)*2
1000 = (n - 1)*2
1000/2 = (n - 1)2/2
500 = n - 1
501 = n
Sum Even of even numbers from 1 to 1001
Givens
a = 2
n = 500
l = 1000
Equation
Sum = (a + l ) * n / 2
Solution
Sum = (2 + 1000)*500/2
Sum = 1002 * 250
Sum = 250500
Sum of Odd numbers from 1 to 1001
a = 1
l = 1001
n = 501
Equation
sum = (a + l)*n/2
sum = (1 + 1001) * 501
sum = (1002)*501 / 2
Sum = 251001
Answer
m - n = 251001 - 250500 = 501
Answer: The wholesale cost of the bike = $100
Step-by-step explanation:
Let x = wholesale cost of the bike
As per given,
Selling price = cost price + (Mark up percent) x ( cost price) (i)
Selling price of bike = $160
Mark up percent = 60% =0.60
Substitute values in (i) , we get
Hence, the wholesale cost of the bike = $100
