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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.

You might be interested in
. A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1 ft/sec, and the bottom of the l
Vlada [557]

Answer:

0.75 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.

So we can set a Pythagoras theorem as:

x^2+y^2=25^2

x^2+y^2=625

Now, we need to find the derivative of above equation with respect to time.

2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0

Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be: 20-1(5)=20-5=15

Let us solve for y using Pythagoras theorem.

y^2+15^2=25^2

y^2+225=625

y^2=625-225

y^2=400

Take positive square root:

\sqrt{y^2}=\sqrt{400}

y=20

Upon substituting our given values in derivative equation, we will get:

2x\cdot \frac{dx}{dt}+2y\cdot \frac{dy}{dt}=0

2(15)\cdot(-1)+2(20)\cdot \frac{dy}{dt}=0

-30+40\cdot \frac{dy}{dt}=0

40\cdot \frac{dy}{dt}=30

\frac{dy}{dt}=\frac{30}{40}

\frac{dy}{dt}=0.75

Therefore, the ladder is moving up at a rate of 0.75 feet per second.

3 0
2 years ago
Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si
dolphi86 [110]

In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.

A figure has been drawn to define the vertices and intersections.

The given lengths are also noted.


From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.


Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.


From triangle A F G, we use Pythagoras theorem to find

h1=A F=sqrt(20*20-12*12)=sqrt(256)=16


From triangle DFG, we use Pythagoras theorem to find

h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5


So the length of the other diagonal equals 16+5=21 cm


5 0
2 years ago
For a certain type of copper wire, it is knownthat, on the average, 1.5 flaws occur per millimeter.Assuming that the number of f
mario62 [17]

Answer:

The probability that no flaws occur in a certain portion of wire of length 5 millimeters =  1.1156 occur / millimeters

Step-by-step explanation:

<u>Step 1</u>:-

Given data A copper wire, it is known that, on the average, 1.5 flaws occur per millimeter.

by  Poisson random variable given that λ = 1.5 flaws/millimeter

Poisson distribution P(X= r) = \frac{e^{-\alpha } \alpha ^{r} }{r!}

<u>Step 2:</u>-

The probability that no flaws occur in a certain portion of wire

P(X= 0) = \frac{e^{-1.5 } \(1.5) ^{0} }{0!}

On simplification we get

P(x=0) = 0.223 flaws occur / millimeters

<u>Conclusion</u>:-

The probability that no flaws occur in a certain portion of wire of length 5 millimeters = 5 X P(X=0) = 5X 0.223 = 1.1156 occur / millimeters

5 0
2 years ago
HELP PLEASE I NEEED HELP!!!!
Nina [5.8K]
It is d just trust me
4 0
2 years ago
in the year 2010, the luxury bike industry had two bike manufactures splendor and passion with the market shares of 30% and 70%,
kari74 [83]

Answer: 50%

Step-by-step explanation:

In 2010, there were only 2 bike manufacturers and they had market shares of 30% and 70%.

A new manufacturer joins the market and captures 10% of the market share and Splendor increases to 40% of market share.

Market shares:

Yamaha = 10%

Splendor = 40%

Passion = 100% - 10% - 40%

= 50%

8 0
2 years ago
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