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ahrayia [7]
2 years ago
3

Alexandra has a stand in the marketplace where she sells ground cumin. She has a fixed amount of weekly expenses, and she sells

her cumin for \$7.20$7.20dollar sign, 7, point, 20 per kilogram. If she sells 909090 kilograms of cumin, her weekly net profit is \$414$414dollar sign, 414. How much cumin does Alexandra have to sell to cover her weekly expenses?
Mathematics
1 answer:
taurus [48]2 years ago
8 0

Answer:  She have to sell 32.5 kg to cover her weekly expenses.

Step-by-step explanation:

Since we have given that

Selling price  of cumin  per kg = $7.20

Quantity of cumin she sells = 90 kg

Net profit she get = $414

Total amount she get after selling 90 kg is given by

90\times 7.20=\$648

So, Weekly expenses would be

\$648-\$414\\\\=\$234

Quantity of cumin she need to sell to cover her weekly expenses is given by

\dfrac{234}{7.20}\\\\=32.5\ kg

Hence, She have to sell 32.5 kg to cover her weekly expenses.

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Martin is saving for a gaming system. The total cost of the gaming system and three games is $325.49. About how much money shoul
cestrela7 [59]
First you would do $325.49 divided by 20 and you would get $16.27. so you would need $16.27 a week.
4 0
2 years ago
Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be t
gayaneshka [121]

Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

4 0
2 years ago
Explain which method you used for solving the system of equations in which x represents the number of bottles of water sold and
bogdanovich [222]

Answer: Sample Response :Use the linear combination method.

Multiply the first equation by –2 to create opposite terms for x.

Multiply the first equation by –4 to create opposite terms for y.

Add the system of equations to eliminate a variable.

Step-by-step explanation:

9 0
2 years ago
Read 2 more answers
Lin read for x minutes, and Elena read for more than that. Write an expression for the number of minutes Elena read. Only use de
Vikentia [17]
<h2>Explanation:</h2><h2 />

In this exercise, we know some facts:

  • Lin read for x minutes.
  • Elena read for more than that.

The problem tells us nothing about the number of minutes Elena read more than Lin. However, let's say Elena read one-third more than the number of minutes Lin read. Therefore:

<u>For Lin:</u>

Number \ of \ minutes \ Lin \ read=x

<u>For Elena:</u>

Number \ of \ minutes \ Elena \ read=x+\frac{1}{3}x \\ \\ Number \ of \ minutes \ Elena \ read=\frac{3x+x}{3} \\ \\ Number \ of \ minutes \ Elena \ read=\frac{4x}{3} \\ \\ Number \ of \ minutes \ Elena \ read=\frac{4x}{3} \\ \\ \\ By \ using \ decimals: \\ \\ Number \ of \ minutes \ Elena \ read \approx 1.33x

6 0
2 years ago
At a bake shop, the cost of flour is $2.50 per pound and increases at a rate of $0.07 per month. The cost of cocoa is $6.00 per
Vesna [10]

Answer:

Step-by-step explanation:

We will find two equations for this system, one representing flour and the other representing cocoa.  For the flour, we start with $2.50, and the cost goes up .07 per month, x. The equation for that is

y = .07x + 2.50

For the cocoa, the equation is written in the exact same way, but the cost goes down.  Down is a negative thing while up is a positive thing.  The cost starts at $6.00 and goes down .03 per month, x. The equation for that is

y = -.03x + 6.00

Comparing the first equation to the second, the .07 is positive because the cost goes UP that amount per month and the .03 is negative because the cost goes DOWN that amount per month.  Get it?

If y is cost and we are tryong to find out where the cost is the same, we are looking for when y is the same.  If the first y is equal to .07x + 2.50 and the second y is equal to -.03x + 6.00, and y is equal to y, then

.07x + 2.50 = -.03x + 6.00 (this is setting the first y equal to the second y).  This is the system that describes how to find the number of months x when the cost y is the same. We'll solve it just for practice.

Combining like terms we get

.10x = 3.5 so

x = 35

Now back sub in what x equals to solve for y.  If x = 35, then in the first equation,

.07(35) + 2.50 = y and

y = 4.95 (you could have used the second equation and subbed in 35 for x and you will get the exact same y value.  Promise!)

What this answer tells us is that 35 months after the start of this pricing, the cost of flour will be the same as the cost of cocoa.  But immediately after 35 months, the costs will not be the same anymore.  It is only AT 35 months.  At 36 months, the costs will be different.

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2 years ago
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