Answer:
x= The amount of lawns Mike mowed
y= The amount of lawns Chris Mowed
Equation 1: ($20+$15)(x+y)+$50=$500
Equation 2: ($20x)+($20xy)+$50=$500
Area = 2831.25 square yards
Perimeter =215.6 yards
EXPLANATION
The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.
That means, area of the rectangular field is given by the formula,

We just have to substitute

and

into the given formula and evaluate.
This implies that;

This gives the area of the rectangular-shaped field to be;

square yards.
Now for the perimeter, we use the formula

Or

Substituting the values for the length and width gives,



Hence the perimeter of the rectangular shaped field is 215.6 yards.
Variance = summation of (x - mean)^2 all divided by the number of dataset.
mean = (17 + 5 + 11 + 1 + 11)/5 = 9
Variance = [(17 - 9)^2 + (5 - 9)^2 + (11 - 9)^2 + (1 - 9)^2 + (11 - 9)^2]/5 = (8^2 + (-4)^2 + 2^2 + (-8)^2 + 2^2}/5 = (64 + 16 + 4 + 64 + 4)/5 = 152/5 = 30.4
Answer:
Step-by-step explanation:
A corresponds to angle P, so angle P measues 70 degrees.
Similarly, angle Q measures 60 degrees and angle R measures 50 degrees.
Answer: c)She should have multiplied 15 by 3 instead of dividing.
Step-by-step explanation:
Number of quilts Ruby plan to make in one month= 3
which means if Ruby makes more than 3 quilts, the time will be more than 1 month.
To find the number of months to make 15 quilts, she need to divide 15 by 3
Thus, the number of months to make 15 quilts=5
Her answer was 1/5 which was absolutely wrong as if she is making 3 quilt in 1 month then in 1/5 month she would make fewer than 3 quilts.
She divides 3 by 15 instead of 15 by 3, thus but the unit is quilts not months.
Thus the only wrong option is c)She should have multiplied 15 by 3 instead of dividing.