This is how you solve it; but first of all convert the percent into a decimal;55%= 0.55
0.55x = 164 (divide by 0.55 on both sides)
x = 164/0.55
x = 298.18 (rounded to the nearest hundredth)
so 164 is 55% of 298.18(rounded)
Answer:
Midpoint (-1 , 1)
Step-by-step explanation:
Formula: (midpoint)
Let the point A(x , y) be the midpoint of CD.
Then
A(-1 , 1)
Answer:
Perimeter of rectangle = ⇒ 
feet
Step-by-step explanation:
Given:
Length of a rectangular sand box = 
Width of the box = 
Perimeter of a rectangle = 
where 
represents length of rectangle and 
represents width of the rectangle.
Substituting values given for length and width.
Perimeter of sand box = 
Simplifying by adding fractions:
⇒ 
(Adding whole numbers and fractions separately)
⇒ 
feet
Whole number 8 can be written as 
⇒ 
feet
To add fractions we take LCD for the denominators 3,4,1.
LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.
Making denominators =12 by multiplying numerator an denominator with the corresponding numbers
⇒ 
feet
⇒ 
feet
Then we simply add numerators.
⇒ 
feet
⇒ 
feet
⇒ 
feet
⇒ 
feet
Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.
⇒ 
feet
Simplifying fractions to simplest form.
⇒ feet
Perimeter =⇒ feet (Answer)
60 times larger.
Hope I helped!!!
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
