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gregori [183]
3 years ago
12

Alexandra has a stand in the marketplace where she sells her cumin for 7.20 per kilogram. If she sells 90 kilograms of cumin her

weekly net profit is 414$. What are Alexandra's weekly expenses?
Mathematics
1 answer:
Drupady [299]3 years ago
8 0

Answer:

$234

Step-by-step explanation:

First we need to define profits. Profits are Income minus Expenses:

P = I - E

We know profits are $414, so:

414 = I - E

We also can calculate income, as it is equal to price by the sales:

I = p*Q

Here she sold 90 kgs at $7.20 b kg. So:

I = p*Q = 7.20 * 90 = 648

So, replacing in profits equation:

414 = I - E

414 = 648 - E

If we sum E in both sides:

414 + E = 648 - E + E = 648

414 + E = 648

Now, subtracting 414 in both sides:

414 + E - 414 = 648 - 414

E = 234

So, her expenses are $234

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Find the slope of the line that passes through each pair of points. Expressed as a fraction in simplest form. (8,2),(8,-1)
boyakko [2]

Answer:

x = 8

Step-by-step explanation:

The explanation are the pictures. I hope I gave you the correct answer.

8 0
2 years ago
Jaun's age, x, is 4 times his age 15 years ago
KIM [24]

The expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)

<h3>How to rewrite the statement as an expression?</h3>

The mathematical statement is given as

Jaun's age, x, is 4 times his age 15 years ago

From the statement, we have:

x represent Juan's current age

This means that his age 15 years ago is

15 years ago = x - 15

4 times his age 15 years ago is

4 * 15 years ago = 4 * (x - 15)

The above equation is equivalent to his current age

So, we have

x = 4 * (x - 15)

Hence, the expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)

Read more about expressions at

brainly.com/question/2972832

#SPJ1

7 0
1 year ago
Two marathon runners run the full distance of the marathon, approximately 26 miles, in 4 hours.
xxTIMURxx [149]

Answer:

6.5 miles in 1 hour and they will run 75% of the full distance in 1 hour.

Step-by-step explanation:

The distance covered by two marathon runners = 26 miles

They takes 4 hours

We need to find how many miles did they run in 1 hour

In 4 hour, the distance covered is 26 miles

To find distance covered in 1 hour, divide 26 by 4 such that.

d=\dfrac{26}{4}\\\\d=6.5\ \text{miles/hour}

So, they will cover 6.5 miles in 1 hour.

For percentage,

\%=\dfrac{26-6.5}{26}\times 100\\\\=75\%

So, they will run 75% of the full distance in 1 hour.

8 0
3 years ago
Find the value of x in each triangle. Please help me &lt;33
frozen [14]

Answer:

x = 11

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side

15x + 15 = 180 ( subtract 15 from both sides )

15x = 165 ( divide both sides by 15 )

x = 11

6 0
3 years ago
Find the volume of the composite solid below. If needed,round to the nearest hundredth. Use 3.14
ZanzabumX [31]

Answer:

429.42 cm

Step-by-step explanation:

<u>Volume of a rectangle prism:</u>

V = whl

V = (5)(12)(7)

V = 420

<u>Volume of a cylinder:</u>

V = πr²h

V = (3.14)(1²)(3)

V = (3.14)(1)(3)

V = 9.42

<u>Combined:</u>

420 + 9.42

429.42

6 0
3 years ago
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