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MariettaO [177]
3 years ago
6

Three students were given the expression shown and were asked to take a common factor out of two of the terms.

Mathematics
1 answer:
Alina [70]3 years ago
6 0

Answer:

Step-by-step explanation:

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Help me please please help me
Lisa [10]

9514 1404 393

Answer:

  1. C
  2. E
  3. B

Step-by-step explanation:

The idea of a "production possibilities curve" is that there is a fixed relationship between possible production of one product and possible production of another. This relationship is presumed to exist because resources used to produce one product are then unavailable to produce the other product.

The graph of the curve generally has increased production in the direction away from the origin. So, points between the curve and the origin represent production choices that do not utilize all available resources of the kind that give rise to the curve. That is, points "inside" the curve represent under-utilization of resources.

1. Point C represents under-utilization.

__

2. Points "outside" the curve are unattainable, because the curve represents production using all available resources.

  Point E is unattainable.

__

3. The assumptions behind the curve are that there must be a tradeoff between production of one item and production of another that uses the same resources. That is, increasing production of one item will necessarily decrease production of the other, representing a cost of the increased production of the first item. We call this cost an "opportunity cost", because it represents production opportunity lost with respect to the second item.

  Choice B describes this situation.

_____

<em>Additional comment</em>

The very idea of a "production possibilities curve" represents the sort of simplification that is often used in the study of economics. The real world is much messier, and these curves are always dynamic. They are affected by the regulatory environment, resource quality, technology, product quality, and availability of alternate or competing products, among other things. The very existence of such a curve precludes the possibility of "win-win" situations, which we know are generally available if they are sought after.

6 0
3 years ago
A running tap dispenses 0.15 gallons of water every second. How many pints of water is dispensed after 20 seconds? Show your wor
grigory [225]

0.15 US Gallons = 1.2 Pints

20*1.2= 24 pints

5 0
2 years ago
Read 2 more answers
After sales tax, a $600 antique clock costs $642. What is the sales tax percentage?
LenKa [72]

well, clearly the tax is the added 42 bucks, so hmmm if we take 600 to be the 100%, how much is 42 off of it in percentage?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 600 & 100\\ 42& x \end{array} \implies \cfrac{600}{42}=\cfrac{100}{x}\implies \cfrac{100}{7}=\cfrac{100}{x} \\\\\\ 100x=700\implies x=\cfrac{700}{100}\implies x=7

5 0
2 years ago
Read 2 more answers
7th Grade Math (Please help me with this question I'm confused with this one)
Vlad [161]

Answer:

To subtract a number from another number, the sign of the number (which is to be subtracted) should be changed and then this number with the changed sign, should be added to the first number

Step-by-step explanation:

(i) Evaluate (+6) – (+2)

= (+6) + (-2) (charging the sign of the number to be subtracted and then adding)

On subtracting smaller number 2 from bigger number 6; we get 6 – 2 = 4

Since, the sign of bigger number is + (positive)

= +4 or 4

Therefore, (+6) – (+2) = 4

(ii) Evaluate (+5) – (-3)

= (+5) + (+3) (charging the sign of the number to be subtracted and then adding)

We know, to add a positive (+ ve) number to a positive (+ ve) number, the numbers should be added and positive sign should be attached to the sum obtained.

= +8

Therefore, (+5) – (-3) = 8

6 0
1 year ago
You have to fill in the blank for this one 4/9 divided by blank equals 12
photoshop1234 [79]

For this case, the first thing we must do is define a variable.

We have then:

x: unknown number

We now write the expression that models the problem:

\frac{\frac{4}{9}}{x} = 12

From here, we clear the value of x.

We have then:

\frac{4}{9}=12x

\frac{4}{9(12)}=x

x=\frac{4}{108}

x=\frac{1}{27}

Answer:

4/9 divided by 1/27 equals 12

6 0
2 years ago
Read 2 more answers
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