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crimeas [40]
2 years ago
11

A company buys pens at the rate of $7.50 per box for the first 10 boxes, $5.50 per box for the next 10 boxes, and $4.50 per box

for any additional boxes. how many boxes of pens can be bought for $148.00?
Mathematics
1 answer:
photoshop1234 [79]2 years ago
4 0

So it is really easy to solve firstly we can see how much does the first 10 boxes make which makes around 75$ obviously. Secondly 55$ for the next 10 boxes.

So for now we can simply calculate that we have spent around 130$ which means 20 boxes. The remaining money left is 18$ so we can buy 18/4.5 = 4 only 4 boxes with that money. Hence a total of 24 boxes.

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Use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle. Show all work for full credit.
diamong [38]

Answer:  The given triangle LMN is an obtuse-angled triangle.

Step-by-step explanation:  We are given to use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle.

From the figure, we note that

in ΔLMN, LM = 5 units, MN = 13 units  and  LN = 14 units.

We know that a triangle with sides a units, b units and c units (a  > b, c) is said to be

(i) Right-angled triangle if b^2+c^2=a^2,

(ii) Acute-angled triangle if b^2+c^2>a^2,

(iii) Obtuse-angled triangle if b^2+c^2

For the given triangle LMN, we have

a = 14, b = 13 and c = 5.

So,

b^2+c^2=13^2+5^2=169+25=194,\\\\a^2=14^2=196.

Therefore,  b^2+c^2

Thus, the given triangle LMN is an obtuse-angled triangle.

5 0
2 years ago
The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
tamaranim1 [39]
Company 1: f(x) = 0.25x² - 8x + 600
f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 =  25 - 80 + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537

company 2: 
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  6        862.2
  8        856.8
10        855
12        856.8
14        862.2

Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1. 
7 0
2 years ago
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Which pair represents the same complex number?
lorasvet [3.4K]
For this case we have the following complex number:
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 root (2) * (root (2) / 2 + i * (root (2) / 2))
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option A represents a pair with the same complex number
4 0
2 years ago
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A tunnel is in the shape of a parabola. The maximum height is 50 m and it is 10 m wide at the base as shown below. What is the v
LiRa [457]
Refer to the figure shown below.

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This equation places the vertex at (0,50). The constant a should be negative for the vertex to be the maximum of y.

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h = y(3)
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Answer: 32 m

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ratelena [41]

Answer:

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