Fundamental principle of counting
To solve, we add the 4 numbers (including the one unknown) and divide that total by 4, and this equals the desired overall average of 154.
x= score needed on 4th game
(149 + 162 + 152 + x)/4= 154
add in parentheses
(463 + x)/4= 154
multiply both sides by 4; 4 "cancels out" on the left side
463 + x= 616
subtract 463 from both sides
x= 153
ANSWER: 153 is the score needed on the 4th game to reach the desired overall average of 154.
Hope this helps! :)
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=Kx
where
K is the constant of proportionality or slope of the linear equation
In this problem
x ----> is the number of months
y -----> is the total amount savings
we have the ordered pairs
(4,80) and (7,140)
so
Find the value of K
K=y/x
For (4,80)
K=80/4=20
For (7,140)
K=140/7=20
The value of K is the same for both ordered paits
that means------> is a proportional relationship
therefore
the linear equation is
y=20x
the answer is the option A, C and D
The cost price of the table is $40.
<h3>What is Gain ?</h3>
Gain is the amount gain by selling the product at a higher price than its cost.
Let the cost of the table is $ x
The percentage gain is x% (as given in the question)
Cost price = ?
It is known that
Step 1 : Gain = ( selling Price - Cost Price) * 100 / Cost Price
Selling price = 56
Cost Price = $ x
Therefore substituting the value
x = (56 - x) * 100 / x
x² = 5600 - 100x
x² +100x -5600 = 0
Step 2 : Factorizing
x² + 140x - 40 x -5600 = 0
x( x+14 ) -40( x +14) = 0
( x - 40)(x +14) = 0
x = $40
Therefore the cost price of the table is $40.
To know more about Gain
brainly.com/question/23385214
#SPJ1
2, if the data is evenly distributed or spread out
