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Vinvika [58]
3 years ago
11

Each paper clip is 3/4 of an inch long and costs $.02. Exactly enough paper clips are laid end to end to have a total length of

36 inches. What is the total cost of these paper clips?
Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0
So,
3/4=0.75
36/0.75=48
You need 48 paperclips to make it end to end.
The cost is:
48 x 0.02=0.96
The total cost is $0.96

Hope I helped!
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An angry student murdered Tommy the Turtle near the northern fence of the park. Using yellow tape,Ranger Dave is marking off a r
pishuonlain [190]

Answer:

60ft

Step-by-step explanation:

Let's x, y be the width and length of the surrounding rectangle. Since the area is 450 sq feet, this means xy = 450 or y = 450/x

The perimeter of this rectangle is (since there are 3 sides only)

f(x,y) = 2x + y

This is something we need to minimize. We can start by substituting y = 450/x

f(x) = 2x + 450/x

Let's take the first derivative of this function and set it to 0

f'(x) = 2 - \frac{450}{x^2} = 0

2 = \frac{450}{x^2}

x^2 = 450 / 2 = 225

x = \sqrt{225} = 15ft

y = 450 / 15 = 30ft

so the minimum perimeter that needs taping over is

f(x,y) = 2x + y = 2*15 + 30 = 60ft

5 0
3 years ago
(c) Express the diagonal of a rectangle, D, in terms of its width, w, if the area of the rectangle is 13 square feet.
Mrrafil [7]
We are asked to express the diagonal of a rectangle in terms of the width in which the area of the polygon is equal to 13 square feet. The area of teh rectangle is equal to length times width. That is 13 = lw; diagonal using pythagorean theorem is sqrt ( l2 + w2). Thus d =  sqrt ( (13/w)2 + w2) = sqrt ( (169/w2 + w2) = sqrt ( (169 + w4)/w2) = 1/w  sqrt (169 + w4)
3 0
3 years ago
Read 2 more answers
Can someone please help me its a short quiz
Marrrta [24]

Can't see

Step-by-step explanation:

The rest of the page, upload again?

4 0
3 years ago
A social media website had 350,000 followers in 2010. The number y of followers
Zolol [24]

Answer:

a) y(t) = 350(1.02)^t

b) 394 thousand = 394,000 people will be following the website in 2016

Step-by-step explanation:

Exponential equation for an amount:

The exponential equation for an amount after t years has the following format:

y = y(0)(1+r)^t

In which y(0) is the initial value and r is the growth rate, as a decimal.

A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.

This means that: y(0) = 350, r = 0.02

a. Write an exponential growth function that represents the number of followers t years after 2010

In thousands:

y(t) = 350(1 + 0.02)^t

y(t) = 350(1.02)^t

b. How many people will be following the website in 2016?

2016 is 6 years after 2010, so this is y(6).

y(6) = 350(1.02)^6 = 394.2

Rounding to the nearest thousand:

394 thousand = 394,000 people will be following the website in 2016

5 0
3 years ago
Wendy is creating a large soup based on a recipe. Her recipe calls for of a pint of milk, but she only has of a pint of milk, so
Viktor [21]
I'm sorry but maybe you wrote this wrong. If Wendy has 1 pint of milk and only needs 1 pint of milk, then she has exactly the amount she needs.
4 0
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