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kiruha [24]
3 years ago
12

Create and solve a system of equations for the following scenario: Luke and Leia are selling hot dogs and hamburgers at a minor

league baseball game. At the end of the day they determine they have sold a total of 45 items and earned $195. If hot dogs cost $4 and hamburgers cost $5, how many did they sell of each?
Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.


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kotegsom [21]

Answer:

The answers are A, B, C, F

3 0
3 years ago
Q5: The probability that event A occurs is 5/7 and the probability that event B occurs is 2/3 . If A and B are independent event
bekas [8.4K]

Answer:

P(A \cap B)

And we can use the following formula:

P(A \cap B)= P(A)* P(B)

And replacing the info we got:

P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476

Step-by-step explanation:

We define two events for this case A and B. And we know the probability for each individual event given by the problem:

p(A) = \frac{5}{7}

p(B) = \frac{2}{3}

And we want to find the probability that A and B both occurs if A and B are independent events, who menas the following conditions:

P(A|B) = P(A)

P(B|A) = P(B)

And for this special case we want to find this probability:

P(A \cap B)

And we can use the following formula:

P(A \cap B)= P(A)* P(B)

And replacing the info we got:

P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476

7 0
3 years ago
Kiera used place value and the distributive property to find the product of 12 and 597. Her work is shown below. 12(597) = 12(50
olya-2409 [2.1K]

Answer:

(90)(7) ⇒ the error was multiplying 90 and 7.


Step-by-step explanation:

12(597) = 12(500 + 90 + 7)

            = 12(500) + (90)(7)

             = 6000 + 630

                = 6,630

The part in bold shows where the error is. It was not correct to multiply 90 and 7.

The process was to proceed as follows:

12(597) = 12(500 + 90 + 7)

            = 12(500) + 12(90) + 12(7)

             = 6000 + 1080 + 84

                = 7,164

8 0
3 years ago
a survey was taken of children between the ages 7 and 12. let A be the event that the person rides the bus to school, and let B
galben [10]

Answer:

The statement is true about whether A and B are independent eventa is fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

Step-by-step explanation:

Let A be the event that the person rides the bus to school, then:

P(A)=75/300

P(A)=0.25

Let B be the event that the person has 3 or more siblings, then:

P(B)=24/300

P(B)=0.25


P(A/B)=9/24

P(A/B)=0.375


Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent


Answer. Fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

8 0
3 years ago
Read 2 more answers
An electric guitar is on sale at 40% off. if the sale price is 179.94 ,what is the original.
n200080 [17]
Let x = original price
Knowing that multiplying the original price and the discount is the discount price. We formulate:
x(1 - 0.40) = 179.94
x(0.60) = 179.94
x = 179.94/0.60
x = 299.9
That is about 300 of the original price.
7 0
3 years ago
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