Answer:
0.684
Step-by-step explanation:
According to the scenario, computation of the given data are as follows
Seasonal index = Average value for July ÷ Average over all months
Where, Average value for July = ( 110 + 150 + 130 ) ÷ 3
= 390 ÷ 3 = 130
And, average over all months = 190
So by putting the value in the formula, we get
Seasonal index = 130 ÷ 190
= 0.684211 or 0.684
Hence, approximate seasonal index for July is 0.684.
Answer:
47 pizzas
Step-by-step explanation:
Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.
If the number of hours after the first hour is represented as x, then the number of pizzas he makes after x hours is:
6 + 3x
Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:
11 + 3x
The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.
This means that:
x = 5
The total amount of pizzas that Dave and Lauren make is:
6 + 3x + 11 + 3x
=> 17 + 6x
Therefore, the total amount of pizza they make 5 hours after the first hour is:
17 + 6(5) = 17 + 30 = 47 pizzas
First, in order to find the length of side w, you must first find the angle W.
A triangle must be 180 degrees in total. 93 + 37 makes the triangle only have 130 at the moment.
180 - 130 = 50
So angle W is 50 degrees
Now using this, we can use law of sines.

Now multiply sin 50 on both sides. It can be written like so:

Now plug this in a calculator.
Answer is 39.5
Answer:
The correct option is B) 12.
Step-by-step explanation:
Consider the provided information.
Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours.
As we know:
,
The rate of pump X is 
of the water is pumped out of the tank, that means only
is left to be pumped out.
All 3 pumps pumped out the remaining
of the water out in 3 hours.
The combined rate of all three pumps is:
Pump Y, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water.
The rate of pump Y =
Let z is the time taken by pump Z, then the rate of pump Z is
.
Therefore,

Multiplying both sides by 24 z.

Hence, the correct option is B) 12.
Answer:
No
Step-by-step explanation:
Two possible answers for x could be -4 or -10/3. Neither of those are close to 5. Therefore, the answer is no.