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MakcuM [25]
3 years ago
14

How many items must she sell to break even?

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

Answer:

20

Step-by-step explanation:

We have two simultaneous equations.

(1)  y = 2x + 50

(2) y = 4.5x

1. Subtract (1) from (2)

0 = 2.5x - 50

2. Add 50 to each side

2.5x = 50

3. Divide each side by 2.5

x = 20

Pilar must sell 20 items to break even.

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Write an expression that is equivalent to 3/4(5z+16).
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a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou
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Answer:

\displaystyle P(A)=\frac{6}{11}

Step-by-step explanation:

<u>Probabilities</u>

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is

\Omega=\{WW,WN,NW,NN\}

We are required to compute the probability that only one of the counters is white. It means that the favorable options are

A=\{WN,NW\}

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is

\displaystyle \frac{5}{11}

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now

\displaystyle \frac{6}{10}

Thus the option WN has the probability

\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}

Now for the second option NW. The initial probability to pick a non-white counter is

\displaystyle \frac{6}{11}

The probability to pick a white counter is

\displaystyle \frac{5}{10}

Thus the option NW has the probability

\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}

The total probability of event A is the sum of both

\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}

\boxed{\displaystyle P(A)=\frac{6}{11}}

7 0
3 years ago
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectang
Evgesh-ka [11]

Answer:

The length in centimeters is (24-x) centimeters

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Mathematically, we are told that the equation linking the length, width and perimeter is as follows;

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