400 Hamburgers
600 Hot dogs
Divide 2,400 by two because that's how many items they sold. You'll get 1,200.
Divide 1,200 by 3 because that's how much a hamburger costs and you'll end up with 400
Divide 1,200 by 2 because that's how much a hot dog costs and you'l end up with 600
To check, multiply 400x3 and 600x2
Then add the sums together- 1,200+1,200= 2,400
Question 8:
Your choice is correct: two figures are similar if all correspondant sides are in the same ratio.
In your case, the figure on the right have correspondant sides which are all three times the figure on the left, since

So, the two figures are similar and their ratio is 1:3.
Question 9:
We follow exactly the same approach: let's see if the radii and the heights are in the same ratio: the radii are in ratio

While the heights are in ratio

So, the answer is again yes, they are similar, and the ratio is 1.6.
Answer:
Expected value for 4 tickets = $ -7.6
Step-by-step explanation:
Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.
To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
Proof -
Given that,
A lottery offers
one $ 900 prize
one $ 600 prize
three $ 400 prizes
Four $ 100 prizes
And
One thousand tickets are sold at $ 5 each
Now,
If the person bought 1000 tickets then the prize he gets is
= 900 + 600 + 3×400 + 4×100
= 900 + 600 + 1200 + 400
= $3100
And
The cost of 1000 tickets = 5×1000 = $ 5000
Now,
Price 1 ticket =
= $ 3.1
⇒Expectation of 1 ticket = $ 3.1 - 5 = $ -1.9 (Here $5 is price of 1 ticket)
⇒Expected value for 4 tickets = $ 4× -1.9 = $ -7.6
⇒Expected value for 4 tickets = $ -7.6
Answer:
As the given equation represents a quadratic function.
Thus,
represents a function.
As we know that the function is just a relation in which each input has only one output.
Thus,
represents a relation and function.
Step-by-step explanation:
Given the equation

As the given equation represents a quadratic function.
Thus,
represents a function.
As we know that the function is just a relation in which each input has only one output.
Thus,
represents a relation and function.
We know that the domain of a function is the set of input or argument values for which the function is real and defined.

We also know that the range of a function is the set of values of the dependent variable for which a function is defined.

The graph is also attached below. From the graph, it is clear that it represents a Parabola.
Answer:
978.6
Step-by-step explanation:
change in gallons is 1957.2 over a period of 2 hours
change in gallons is 978.6 over a period of 1 hour