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vesna_86 [32]
2 years ago
14

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Mathematics
1 answer:
Oxana [17]2 years ago
8 0

Step-by-step explanation:

we need to find the number n of sold boxes, so that the income (sales) and costs (expenditures) are equal. this is called the break even point. any more boxes sold will then result in a profit, actually gaining money. and if she cannot reach that number of sold boxes, then she will make a loss.

so,

n×11 = n×3 + 24

n×8 = 24

n = 3

it will take 3 sold boxes of cards to break even.

at that point she will have spent $24 + 3×$3 = $33, and her sales will be 3×$11 = $33.

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Circle O has a circumference of 44 what is the length of the diameter
DerKrebs [107]

Answer:

Step-by-step explanation:

2πr=44

2×22/7×r=44

r=44×7/44=7

diameter=2×7=14

3 0
3 years ago
F(x) = 4x2 + 5x - 3<br> g(x) = 4x3 – 3x2 + 5<br> Find (f - g)(x).
Ludmilka [50]

Answer:

-4x^3 + 7x^2 + 5x - 8

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = [4x^2 + 5x -3] - [4x^3 - 3x^2 + 5]

= 4x^2 + 5x - 3 -4x^3 + 3x^2 - 5 = -4x^3 + 7x^2 + 5x - 8

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4 years ago
Which of the following ecpression is equivalent
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7 0
3 years ago
(3 · x ) · 7 <br><br> what is the simplified answer to this question?
Leno4ka [110]

Answer:

21x

Step-by-step explanation:

In the parentheses, 3 * x is the same thing as 3x.  Distribute 7 into 3x to get 21x as your final answer.

8 0
3 years ago
Read 2 more answers
Given right triangle MNL, what is the value of cos(M)? Three-fifths Three-fourths Four-fifths Five-thirds
lidiya [134]

By applying the Pythagorean Theorem and the Trigonometry ratio, CAH, the value of cos(M) = 4/5

<em><u>Recall:</u></em>

Trigonometry ratios, <em>SOH CAH TOA</em> can be applied to solve a right triangle.

  • Pythagorean Theorem can also be applied which is: c² = b² + a², where c is the longest side (hypotenuse length).

<em><u>Given:</u></em>

ΔMNL is a right triangle

ML = 25

NL = 15

Find MN using the Pythagorean Theorem:

MN = √(ML² - NL²)

MN = √(25² - 15²)

MN = 20

To find the value of cos(M), apply the trigonometry ratio, CAH, which is:

cos ∅ = Adj/Hyp

  • Where,

∅ = M (reference angle)

Hypotenuse = ML = 25

Adjacent = MN = 20

  • Plug in the values:

cos(M) = 20/25

cos(M) = 4/5

Learn more about Trigonometry ratios on:

brainly.com/question/10417664

5 0
3 years ago
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