Answer:
he makes $12 less.
Step-by-step explanation:
$80X12=960 - Matts income for the year
960-816=144 -How much less James makes than Matt per year
144/12=12 - How much less James makes than Mat per month
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Answer:
If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)
Step-by-step explanation:
Step 1: Formula of volume of a cylinder is pi*r^2*h
where value of pi is 3.14
r is the radius
h is the height of the bottle (height is different for both bottles)
After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.
You can extract the radius by following this method:
Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)
500 = 3.14 * (r)^2 *15
500/(3.14*15) = r^2
10.616 = r^2
Taking sqrt. on both sides
We get r = 3.26
Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.
V= 3.14 * (3.26)^2 *21
V= 701.14 (approx)
Length=2x
width=x
Perimeter of a rectangle=2(lenght)+2(width)
The first is to find out the measures of this rectangle, that is to say, you have to find the length and width of these rectangle.
We can suggest this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4
2x=2(4)=8
The lenght will be 8 in, and the length will be 4 in.
The second; you have to calculate the area of this rectangle.
area of a rectangle= lenght x width
area=(8 in)(4 in)=32 in²
answer: the area of Marshall´s rectangular poster would be 32 in²
The scatter plot showing data gathered and line of best fit is attached below :
Answer:
69
Step-by-step explanation:
Given the regression model :
y = 1.73x + 0.0924
Where,
y = number of pink flowers
x = Red flowers
Slope = 1.73
Intercept = 0.0924
The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :
Put x = 40 and calculate the value of y
y = 1.73(40) + 0.0924
y = 69.2 + 0.0924
y = 69.2924
Number of pink flowers = 69