What is the domain of the function in this table ?
2 answers:
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Let, the numbers of nickels be x.
Given, there were 5 times as many dimes as nickels.
So, the number of dimes = 5x
We know that 1 nickel = $(0.05)
So x nickels = $(0.05x)
Also we know that 1 dime = $(0.1)
So 5x dimes = $(0.1 ×5x) = $(0.5x)
Given total value of dimes and nickels at the end of day 1 is $63.80
So we can write the equation
Now we to find x, we have to move 0.55 to the other side. As 0.55 is multiplied there so to move it we need to divide it to both sides.
So we have got the number of nickels = 116
Number of dimes = 5x = 5(116) = 580
So we have got the required answer.
Number of nickels = 116, number of dimes = 580.
Answer:
There are 16 friends at Jack's party.
Step-by-step explanation:
Please consider the complete question.
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Write an equation to determine the number of friends (x) at Jack's party. Find the number of friends at Jack's party.
Since there are x friends at party, so chocolate given to x friends would be 3 times x because Jack gave 3 chocolates to each friend.
As Jack has 2 chocolates left after giving to his friends, so total numbers of chocolates would be .
Now we will equate total number of chocolates by 50 as:
Therefore, the equation can be used to find number of Jack's friends.
Let us solve for x.
Therefore, there are 16 friends at Jack's party.
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°, ⊥
, AP = 9, and PM = 16
² +
² =
²
=
+ PM = 9 + 16 = 25
= 25
² =
² +
² = 9² +
²
∴ ² = 9² +
²
Similarly we get;
² = 16² +
²
Therefore, we get;
² +
² = 9² +
² + 16² +
² =
² = 25²
2·² = 25² - (9² + 16²) = 288
² = 288/2 = 144
= √144 = 12
From ² = 9² +
², we get
= √(9² + 12²) = 15
= 15
From, ² = 16² +
², we get;
= √(16² + 12²) = 20
= 20.
Answer:
see below
Step-by-step explanation:
The third table shows a relationship of y=2x.
_____
Essentially, you have to see whether the value of y/x is constant for all the values in a table. If it is not, then the relation is not proportional.
in the first table, -4/-2 ≠ -3/-1
in the second table, -4/-2 ≠ 3/1
in the fourth table, -4/-2 ≠ 6/2
