Answer:
The equation that models the relationships between , the number of hours Mark reads, and ,
the number of pages of the book he reads is:
Step-by-step explanation:
Given:
Mark reads 42 pages every hour.
The number of hours is given by =
The number of pages is given by =
The equation can be modeled as:
where represents rate of change and
represents the y-intercept or the initial value.
Rate of change =
The initial value as Mark starts reading from 0.
So, the equation is:
Answer:
C) 160
Step-by-step explanation:
Set up a proportion:
=
Cross multiply and solve for x:
15x = 3600
x = 240
This means in 400 marbles, 240 are purple.
To find how many are not purple, subtract 240 from 400:
400 - 240
= 160 marbles
So, 160 marbles are not purple
Answer:
The answer is 596 square feet
Step-by-step explanation:
Recall the following formulas for area:
Rectangle of lenght l and width w:
Triangle of base b and height h:
In our case, since we have a pyramid with rectangular base, so we have 5 sides: the rectangular base and 4 triangles, that are grouped in two pairs of identicall triangles. Let us call the triangles T1 and T2. Then the total surface area is given by
surface area = Area of the base + 2*Area of T1 + 2* Area of T2
The base is a rectangle of lenght 16 and width 12, so the area is 16*12 = 192.
T1 is a triangle of base 16 and height 14, so it has area 16*14/2 = 112.
T2 is a triangle of base 12 and height 15, so it has area 15*12/2 = 90.
So the total area is
Area = 192+2*112+2*90 = 596.