The company picnic cost $ 1300 for 80 employees
<em><u>Solution:</u></em>
Given that cost of a company picnic varies directly as the number of employees attending the picnic
Let "c" be the company picnic cost
Let "n" be the number of employees attending the picnic
Therefore,
Where "k" is the constant of proportionality
c = kn ---------- eqn 1
<em><u>Given that company picnic costs $487.50 for 30 employees</u></em>
Therefore substitute c = 487.50 and n = 30
<em><u>How much does a company picnic cost for 80 employees?</u></em>
Substitute n = 80 and k = 16.25 in eqn 1
Thus $ 1300 is the cost for 80 employees
4.b.
Answer: See below.
Step-by-step explanation:
<h2><u>
For the equation f(x) = 2x</u></h2>
3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
<u>f(6) = 12</u>
3.b. f(-11) = 2(-11)
<u>f(-11) = -22</u>
3.c. f(2.75) = 2(2.75)
<u>f(2.75) = 5.5</u>
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
<u>The rest of (3) are solved in the same fasion.h</u>
<u></u>
<h2><u>
For the equation f(x)= 5x+50</u></h2>
4.a. f(7) = 5(7)+50
<u>f(7) = 85</u>
4.b. f(-12)
f(-12) = 5*(-12)+50
<u>f(-12) = -60</u>
<u></u>
Continue in the same fashion for these types of problems.
How To Find Inverses:
1. First, replace f(x) with y . ...
2. Replace every x with a y and replace every y with an x .
3. Solve the equation from Step 2 for y . ...
4. Replace y with f−1(x) f − 1 ( x ) . ...
5. Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Step-by-step explanation:
The Answer for the above question is
The four integers are 1,2,5,10. And Sum of the four integers is 18 .
<u>Method : </u>
Product of four different positive integers is 100 .
<u>First</u> of all lets break the number "100"
⇒ 100 = 50*2
⇒ 100 = 25 * 2 * 2
⇒ 100 = 5 * 5 * 2 * 2
But here we get the same integers 2 and 5 and we want different positive integers . So hereby merge 5 * 2 which is 10.
Let's get to the possible combination -
After merging 5*2 = 10 we get the answer as -
⇒ 100 = 1 * 2 * 5 * 10
Here, we have 1, 2, 5, 10. these are the positive integers whose product gives 100 .
Sum of these products is -
⇒ Sum = 1 + 2 + 5 + 10
⇒ Sum = 18 .
Sum of these four Integers is 18.
Answer:
false
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
original dimensions / scale of the drawing = dimensions of the scale drawing
To scale an image, divide the original length by the scale
for example the length of the image is 100 and the scale factor is 4
the length of the scale copy = 100/4 = 25
