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uysha [10]
3 years ago
15

You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end

of the day you made $150. Let x represent the number of hotdogs sold and y represent the number of and sodas sold at the swim meet.
-Using the Standard Form, identify the y-intercept of the graph and explain how the y-intercept relates to the number of hot dogs and sodas sold.
Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

Step-by-step explanation:

Let's set up an equation in standard form.

x + 0.5y = 150

0.5y = -x + 150

y = -2x + 300

The y-intercept is 300. This means that when 0 hot dogs were sold, 300 sodas were sold.

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Answer:

B AND C

Step-by-step explanation:

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A bag contains 12 red checkers and 12 black checkers. 1/randomly drawing a red checker 2/randomly drawing a red or black checker
8_murik_8 [283]

Answer:

(I suppose that we want to find the probability of first randomly drawing a red checker and after that randomly drawing a black checker)

We know that we have:

12 red checkers

12 black checkers.

A total of 24 checkers.

All of them are in a bag, and all of them have the same probability of being drawn.

Then the probability of randomly drawing a red checkers is equal to the quotient between the number of red checkers (12) and the total number of checkers (24)

p = 12/24 = 1/2

And the probability of now drawing a black checkers is calculated in the same way, as the quotient between the number of black checkers (12) and the total number of checkers (23 this time, because we have already drawn one)

q = 12/23

The joint probability is equal to the product between the two individual probabilities:

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7 0
3 years ago
Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
Julli [10]

Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

3 0
3 years ago
What is the solution to the system of equations -8x + 4y = -2, 2y = 1​
Black_prince [1.1K]

Answer:

Hi! The correct answer is x=1/4+y/2!

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

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ANTONII [103]

Answer:

Step-by-step explanation:   2003160

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