Answer:
39 tickets were given to the employees
Step-by-step explanation:
1. Approach
First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.
2.Given
A total of 234 tickets were given away
5 times as many tickets were given away to listeners compared to employees
-Call the number of tickets given away to employees (x)
3. Form an equation
(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)
Substitute,
x + 5x = 234
Simplify,
6x + 234
Inverse operations,
6x = 234
/6 /6
x = 39
X = price of the ingredients
so based on the proportion , we can write that :
Almonds needed = x = $ 12 x
peanut needed = 2x = 2x * $ 8 = $ 16x
raisins needed = 3x = 3x * $6 = $ 18x
Equation =
12x + 16x + 18x ≤ $ 23
46x = $23
x = $ 0.5
The pound of mix he can made :
0.5 * 1 pound of almond + 0.5 x * 2 pound of peanuts + 0.5 * 3 pound of raisins
= 3 Pound of mix
Answer:
x = 6
Step-by-step explanation:
9 / 6 = (2x - 6) / 4 (by the side splitter theorem)
6(2x - 6) = 36
12x - 36 = 36
12x= 72
x = 6
Answer:
miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.
Step-by-step explanation:
As there is no graph mentioned here but the information are quite sufficient to answer the question.
We have points 
From these points we can find the slope of the line .
From point slope formula 
And assigning 
and 
This slope is also the speed of the bird which is 
As by plugging the values of any coordinate point we can confirm this.
Lets put 
, y-axis is the distance so in 
minutes the the distance covered by the bird must be equal to to y-axis value which is 
miles.
Now as in 
the bird has started from y-intercept value 
so we can say that,the original distance of the bird from its nest is 
.
So the correct choices are:
and 
The birds speed is 
per minute and is away from its nest.
