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Vika [28.1K]
3 years ago
11

Tate has 5 more than twice as many pennies as Mia. If Mia has x pennies, which equation can be used to find how many pennies she

has, assuming they have 30 all together?
Mathematics
2 answers:
Whitepunk [10]3 years ago
8 0

Answer:

x+(2x+5)=30

Step-by-step explanation:

2x + 5 represents Tate since it is 5 more than twice X.

sladkih [1.3K]3 years ago
7 0

Answer:

3x + 5 = 30

Step-by-step explanation:

Tate has 2x + 5 pennies and since Tate and Mia have 30 pennies all together you would add an x to the equation of how many pennies Tate has and set it equal to 30 making the equation 3x + 5 = 30

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The cost, in dollars, of producing x yards of a certain fabric is C(x) = 1500 + 12x − 0.1x2 + 0.0005x3. (a) Find the marginal co
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Answer:

(a) The marginal cost function is 12 - 0.2x + 0.0015x^2

(b) C'(500) = $287. C'(500) indicates the rate at which cost is rising with respect to production level of the fabric when x = 500.

C'(500) predicts the cost of producing the 500th yard of fabric.

(c) C'(500) = $287

The cost of manufacturing the 501st yard, C(501) = $287.6505.

C(501) is approximately the same as C'(500).

Step-by-step explanation:

(a) The marginal cost function is obtained by differentiating the cost function (C) with respect to the number of yards of fabric produced (x)

C(x) = 1500 + 12x - 0.1x^2 + 0.0005x^3

C'(x) = 12 - 0.2x + 0.0015x^2

(b) C'(x) = 12 - 0.2x + 0.0015x^2

C'(500) = 12 - 0.2(500) + 0.0015(500)^2 = $287. This means that cost is rising at a rate with respect to the production level when x = 500.

C'(500) = $287 predicts that the cost of producing the 500th yard of fabric is $287.

(c) C(x) = 1500 + 12x - 0.1x^2 + 0.0005x^3

C(501) = 1500 + 12(501) - 0.1(501)^2 + 0.0005(501)^3 = $287.6505 is approximately the same as C'(500) which is $287

4 0
3 years ago
I am a fraction equivalent to 1/2. The
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Answer:

5/10

Step-by-step explanation:

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3 years ago
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3 years ago
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What is the solution set for the inequality 4 - 5g > 39?
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The solution set for the given inequality is g > -7

<u>Given the following inequality:</u>

  • 4 - 5g > 39

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that is typically used to compare two (2) integers or variables in an equation by illustrating any of the following:

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Simplifying the inequality, we have:

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Read more on inequality here: brainly.com/question/24372553

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