Add 12 to both sides to get
5m= 50
divide by 5 to get
M=10
Answer:
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will amount to $17,750 . The variable costs will be $12.75 per book.
Step-by-step explanation:
Answer:
$0.65
Step-by-step explanation:
3.75-.5=3.25
3.25/5=.65
The altitude of the smaller triangle will be given as follows:
let the altitude of the smaller triangle be x
scale factor of small to large triangle is 3:5
but
scale factor=(length of small Δ)/(length of large Δ)
plugging in our values we get:
3/5=x/24
solving for x we get:
x=3/5×24
x=14.4 inches
Answer: 14.4 inches
Given:
The given polynomial is

When it divided by (x+1) gives remainder 0 and when divided by (x-2) gives remainder of 45.
To find:
The values of m and n.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
Let the given polynomial be P(x).

When it divided by (x+1) gives remainder 0. So, P(-1)=0.



...(i)
When P(x) is divided by (x-2) gives remainder of 45. So, P(2)=0




...(ii)
Multiply 2 on both sides of (i).
...(iii)
Subtract (iii) from (ii).



Putting m=5.5 in (i), we get



Therefore, the values of m and n are 5.5 and -21.5 respectively.