Answer:
The first, second to last and last stements are true
Step-by-step explanation:
You times 8 by the percentage as
e.g 8 x 1.50 = 12 is the same as marked up by 50%
e.g 8 x 1.70 =13.6 is the same as marked up by 70%
Volume = 1/3 * area of the base * height
75 = 1/3 * 5^2 * h
h = 75 * 3 / 25 = 3*3 = 9 feet answer
Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.
Explanation:
Let us evaluate Talia's steps.
Step 1: Select (2, 5) as a point on the line.
CORRECT
Step 2: Select another point (1, 3) on the line.
CORRECT
Step 3: Count units to the right and count units up, to determine the slope.
Units right = 2 - 1 = 1
Units up = 5 - 3 = 2
Slope = (Units up)/(Units right) = 2/1 = 2
INCORRECT because Talia did not obtain a slope of 2.
Step 4: Substitute obtained values in the point-slope form.
(y - y1) = m(x - x1). If we select the point (1, 3), then
y - 2 = 2(x - 1).
Talia's equation is INCORRECT because she used an incorrect value
for the slope.
Lets find all the numbers..
x (1st number)
x + 2 ( 2nd number)
x + 4 (3rd number)
x + 6 (4th number)
x + 8 (5th number)
x + 10 (6th number)
Now add all those expressions and set them equal to 270 because that is the total.
x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 270
6x + 30 = 270
6x = 240
x = 40
Now we will substitute 40 for x in the expression of the second number.
x + 2
40 + 2
42
So the second number is 42
Hope this helps :)