Answer:
The sum of the first, third, and last integer is 1533.
Step-by-step explanation:
Step 1: You need to create a equation first:
n + n + 2 + n + 4 + n + 6 + n + 8 = 2555
How did I make the equation?
If n is odd number, n + 2 must be the consecutive odd number
5 , 5 + 2 , 5 + 4 , 5 + 6 , 5 + 8
5, 7, 9, 11, 13 ALL CONSECUTIVE ODD NUMBERS
Step 2: Simplifying the equation
n + n + 2 + n + 4 + n + 6 + n + 8 = 2555
5n + 20 = 2555
Step 3: Solving the equation, with explanation
5n + 20 = 2555 Subtract 20 on both sides
5n = 2535 Isolate the variable by dividing 5 on both sides
n = 507
Step 4: Plug in the value
n + n + 2 + n + 4 + n + 6 + n + 8
507, 507 + 2 , 507 + 4 , 507 + 6 , 507 + 8
507, 509, 511, 513, 515
Step 5: Solve the sum of the first, third, and last integer
507 + 511 + 515 = 1533
Step 6: THE ANSWER
1533
Answer:
C
Step-by-step explanation:
y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)
y = 5(x-2) + 3 (distribute parentheses)
y = x(5) - 2(5) + 3
y = 5x -10 + 3
y = 5x - 7
recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)
hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5
From the choices, the only one that is consistent with this is C
i.e choice C:
5y + x = 25
5y = -x + 25
y = -(1/5) x + 5 ===> gradient of -1/5
The length on the blueprint is 42 mm.
Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size. It is used to draw the enlarged or reduced shape of any given figure and to find the missing length, area, or volume of an enlarged or reduced figure. It should be noted that the scale factor helps in changing the size of the figure and not its shape.
We have,
On the blueprint of a house, 28 millimeters represents 6 meters.
The actual length of the living room is 9 meters.
Then, 6 meter represents
= 28/6
= 14/3
So, the length of living rooms
= 9 x 14/3
= 42 mm
Learn more about Scale Factor here:
#SPJ1
Theaverage change in temperature in one hour will be 3 °F.
It is given that in 12 hours the temperature dropped 36 degrees Fahrenheit.
We have to findout that what was the average change in temperature in one hour ?
What do you mean by average ?
Average of numbers is the ratio of sum of all numbers to the no. of numbers.
As per the question ;
Temperature drop/change in 12 hours of period ;
= 36 °F
Temperature change in 1 hour will be ;
= 36 / 12
= 3 °F
Thus , the average change in temperature in one hour will be 3 °F.
To learn more about unitary methods click here ;
#SPJ2
Answer:
3 degrees
Step-by-step explanation:
36 degrees divided by the hours it took to drop that much will get you the answer
36/12 is 3