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3 years ago

Bia earns a commission on the sales she makes each month. Within a month, Bia earns a 3% commission on the first

1 answer:

4 0

First we are gonna find the 3% of $3000 and take it from the $157.50.

3000 x 0.03 = $90
157.60 - 90 = $67.50

Then we are gonna find the amount that 4.5% of is equal to $67.50.

4.5/100=67.50/x (cross multiply)
4.5x = 67.50x100
4.5x = 6750 (divide both sides by 4.5)
4.5x/4.5 = 6750/4.5
x = 1500

Therefore the amount she earned in sales is $3000 + $1500 = $4500

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Mark read 2 1/2 books last week. This week he read 3 1/3 books. How many more books did Mark read this week and last week?

nikklg [1K]

Answer:

5/6 books

Step-by-step explanation:

We know that Mark read 2 1/2 books last week. This week, he read a bit more with 3 1/3 books.

To find how many more books he read, we must subtract 2 1/2 from 3 1/3:

3 1/3 - 2 1/2

Let's convert these into improper fractions first:

3 1/3 = (3 * 3 + 1) / 3 = 10/3

2 1/2 = (2 * 2 + 1) / 2 = 5/2

Now, we have:

10/3 - 5/2

In order to subtract these, we must find a common denominator. For 2 and 3, the LCM is 6, so we can use that as our common denominator:

10/3 * 2/2 = 20/6

5/2 * 3/3 = 15/6

Finally, we have:

20/6 - 15/6 = (20 - 15) / 6 = 5/6 books

5 0

3 years ago

What three dimensional solid has 6 rectangular faces, 2 equal bases that are not rectangles, and 18 edges

lapo4ka [179]

A hexagonal prism should work! The two bases are hexagons, and there are 6 lateral faces that are rectangles. When you count the edges, there are 18

5 0

3 years ago

Read 2 more answers

Find the equation in standard form of the line passing through the points (2,-3) and (4,2)

mario62 [17]

The line passes through (2,-3) and (4,2).

Calculate the slope of the line.
m = (2+3)/(4-2) = 5/2

The equation of the line is therefore
$\frac{y-2}{x-4} = \frac{5}{2}$

Cross multiply.
2(y-2) = 5(x-4)
2y - 4 = 5x - 20
2y = 5x - 16
Rewrite as
5x - 2y = 16

Answer: C. 5x - 2y = 16

8 0

3 years ago

When fishing off the shores of Florida, a spotted seatrout must be between 10 and 30 inches long before it can be kept; otherwis

Mademuasel [1]

Answer:

There is a 97.585% probability that a fisherman catches a spotted seatrout within the legal limits.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

The lengths of the spotted seatrout that are caught, are normally distributed with a mean of 22 inches, and a standard deviation of 4 inches, so $\mu = 22, \sigma = 4$ .

What is the probability that a fisherman catches a spotted seatrout within the legal limits?

They must be between 10 and 30 inches.

So, this is the pvalue of the Z score of $X = 30$ subtracted by the pvalue of the Z score of $X = 10$

X = 30

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{30 - 22}{4}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 10

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10 - 22}{4}$

$Z = -3$

$Z = -3$ has a pvalue of 0.00135.

This means that there is a 0.9772-0.00135 = 0.97585 = 97.585% probability that a fisherman catches a spotted seatrout within the legal limits.

3 0

2 years ago

What is 8 3/4 - 7 1/2

lara31 [8.8K]

let's firstly convert the mixed fractions to improper fractions and then subtract, bearing in mind that the LCD of 4 and 2 is 4.

$\bf \stackrel{mixed}{8\frac{3}{4}}\implies \cfrac{8\cdot 4+3}{8}\implies \stackrel{improper}{\cfrac{35}{4}}~\hfill \stackrel{mixed}{7\frac{1}{2}}\implies \cfrac{7\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{15}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{35}{4}-\cfrac{15}{2}\implies \stackrel{\textit{using the LCD of 4}}{\cfrac{(1)35~~-~~(2)15}{4}}\implies \cfrac{35-30}{4}\implies \cfrac{5}{4}$

6 0

2 years ago