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Rainbow [258]
3 years ago
15

The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri payed $2.52 for 6 oran

ges. If p represents the cost, in dollars,and n represents the number of oranges purchased, which equation best represents this relationship? A.) P=0.42n B.)p=2.52n C.)p=6n D.)p=15.12n
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer: option A is the correct answer.

Step-by-step explanation:

The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri paid $2.52 for 6 oranges.

If p represents the cost, in dollars,and n represents the number of oranges purchased, then introducing a proportionality constant, k, the equation becomes

p = kn

2.52 = k × 6

k = 2.52/6 = 0.42

Therefore, the equation representing the relationship is

p = 0.42n

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dybincka [34]

Answer:

The given lines are perpendicular.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (1,7) and (5,5). Whereas, line 2 passes through (-1,-3) and (1,1).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$$\begin{aligned}m_{1} &=\frac{5-7}{5-1} \\m_{1} &=\frac{-2}{4} \\m_{1} &=-\frac{1}{2}\end{aligned}$$

Step 2 of 2

Find the slope of first line.

$$\begin{aligned}&m_{2}=\frac{1-(-3)}{1-(-1)} \\&m_{2}=\frac{4}{2} \\&m_{2}=2\end{aligned}$$

And

$$\begin{aligned}&m_{1} m_{2}=-\frac{1}{2}(2) \\&m_{1} m_{2}=-1\end{aligned}$$

Since, both slopes are reciprocal of each other.

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6 0
1 year ago
There are 12 red pens, 20 blue pens and 5 black pens in a bag. What is the probability that you will pick a black pen? Round
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Answer:

The probability of getting a black pen from the bag is 13.5%.

Step-by-step explanation:

To determine the percentage probability that a black pen will be obtained from the bag, the following calculation must be performed:

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5 = X

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Thus, it is determined that the totality of pens is 100%, and through a cross multiplication the percentage of the 5 black pens with respect to the total of pens is obtained.

Therefore, the probability of getting a black pen from the bag is 13.5%.

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(5-5) x
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