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Paul [167]
3 years ago
6

To estimate your average monthly salary , divide your yearly salary by the number of months in a year .Write and solve an equati

on to determine your yearly salary when your average monthly salary is $4560
Mathematics
1 answer:
damaskus [11]3 years ago
7 0
For this question, you're required to work backwards....
Average monthly salary= $4560
Yearly Salary= $4560 x 12
                     = $54,720

Hope this helps :))


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Gina's number is 2 more than sara's. the sum of their numbers is 68. what are their numbers?
ikadub [295]

In order to solve this problem, we transform the statements into algebraic expressions. First, we assign the variables.

 

Let:

x = Gina’s number

y = Sara’s number

 

For the first equation, we show that Gina’s number is greater than Sara’s number by 2. For the second equation, we show that the sum of both numbers is 68.

<span>(1)  </span>x – y = 2

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<span>We add the two expressions, which result in the expression: 2x = 70. Then we divide 70 by 2 to get the value of x. We then have x = 35. Using the second equation, we solve for y = 68-35. This gives y = 33. To summarize, Gina’s number is 35 while Sara’s number is 33.</span>
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3 years ago
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Solve for x I need help on this question
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Answer:

x\approx7.8

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

sin(\theta)=\frac{opposite}{hypotenuse}

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3 0
2 years ago
Using a number cube and this hat with 5 different-colored marbles, which simulation would help you answer this question? During
Arlecino [84]

Answer:

  see the attachment

Step-by-step explanation:

We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).

Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.

That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".

The simulation of 70 different choices of a random class is shown in the attachment.

_____

<em>Comment on the question</em>

IMO, the use of <em>70 trials</em> is coincidentally the same number as the first <em>70 days</em> of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.

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3 years ago
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