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e-lub [12.9K]
3 years ago
5

The graph models the cost of a cheese pizza with extra toppings at two different restaurants. According to the graph, about how

many pizza toppings must be added to make the cost of the pizzas equal?

Mathematics
2 answers:
laila [671]3 years ago
8 0

Answer:

We have been given a graph that models the cost of a cheese pizza with extra toppings at two different restaurants. Now using the graph, we have to find about how many pizza toppings must be added to make the cost of the pizzas from both restaurants equal.

To find that we just have to look at the intersection point of both graphs.

If you look carefully then you will find that both graph intersect at the point where x-coordinate is 5.

Hence final answer is 5 toppings.

Step-by-step explanation:

den301095 [7]3 years ago
5 0

We have been given a graph that models the cost of a cheese pizza with extra toppings at two different restaurants. Now using the graph, we have to find about how many pizza toppings must be added to make the cost of the pizzas from both restaurants equal.

To find that we just have to look at the intersection point of both graphs.

If you look carefully then you will find that both graph intersect at the point where x-coordinate is 5.

Hence final answer is 5 toppings.

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The high school dance team is learning a new routine to a song that lasts 3 minutes and 41 seconds, or 221 seconds total. Yester
Olegator [25]
C. 221=22h +45; 8 hours
6 0
3 years ago
Read 2 more answers
Alice has two bags of marbles: Bag A contains 8 red and 3 blue marbles, and Bag B contains 5 red and 7 blue marbles. She randoml
Thepotemich [5.8K]

It might help to draw out a probability tree. Check out the diagram below. The first two branches at the top represent bags A and B. The probability of picking either bag is 1/2 assuming each bag is equally likely to be picked.

If we go with bag A, then the probability of getting blue is 3/11 since there are 3 blue out of 8+3 = 11 total. The probability of getting bag A and a blue marble is (1/2)*(3/11) = 3/22 which I've marked in the diagram as well.

If we go with bag B, then the probability of getting blue is 7/12 since there are 7 blue out of 5+7 = 12 total. The probability of getting bag B and blue is (1/2)*(7/12) = 7/24

Add up the results found getting

P(blue) = P(blue & bag A) + P(blue & bag B)

P(blue) = 3/22 + 7/24

P(blue) = 36/264 + 77/264

P(blue) = 113/264

This is shown in the diagram as well.

--------------------------------------------------

Recall that conditional probability in general is defined as follows

P(A given B) = P(A and B)/P(B)

In this problem, we'll have

P(bag B given blue) = P(bag B and blue)/P(blue)

Therefore, we can say...

P(bag B given blue) = P(bag B and blue)/P(blue)

P(bag B given blue) = (7/24)/(113/264)

P(bag B given blue) = (7/24)*(264/113)

P(bag B given blue) = (7*264)/(24*113)

P(bag B given blue) = (7*24*11)/(24*113)

P(bag B given blue) = (7*11)/(113)

P(bag B given blue) = 77/113

In short, the probability of getting bag B, given the marble is blue, is 77/113.

8 0
2 years ago
The data shows the weights of 2 groups of house cats in pounds.
lesantik [10]
I would say the answer is C
5 0
3 years ago
I NEED HELP!
Vinvika [58]

Answer:

Step-by-step explanation:

First of all you have to put the zeros into factor form.

y1 = (x + 2)(x - 5)

Notice that the x changes sigh. You say that the zeros are -2 and  5. To get y1 to go to zero, you must make x the opposite sign of what you are given.

Now you have to expand the factored form to get the standard form

y = x^2 + 2x - 5x - 10

y = x^2 - 3x - 10

That's not the right answer.

f(0) = 30 but you have - 10 at the end so you have to multiply the factored form by - 3

-3(f(x)) = -3(x + 2)(x - 5)

-3(f(x)) = -3(x^2 - 3x - 10)

f(x) = -3x^2 + 9x + 30    

f(0) = -3(0)^2 + 9(0) + 30

f(0) = 30

The quadratic still has roots of (x +2)(x - 5) but that 3 makes the y intercept = 30.

See the graph below.

6 0
3 years ago
You are taxed at a rate of 5% for all online purchases and 8.5% for all in-store purchases. If you pay a total of 40$ in taxes i
Zina [86]
x+y=500
0.05x+0.085y=40

Multiply both sides of second equation by 20 to getx+1.7y=800
Subtract that from first equation to get 0.7y=300
Divide both sides by 0.7 to get y=428.571, so about $428.57 was spent in store. This leaves 500-428.57=$71.43 that was spent online
4 0
3 years ago
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