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ivanzaharov [21]
3 years ago
8

The dimensions of a box of paper clips are 3.1 inches by 1.6 inches by 1 inch. If there are 100 paper clips guaranteed to be in

each box, what is the approximate density of paper clips per cubic inch?
Mathematics
1 answer:
Cloud [144]3 years ago
8 0

Answer: 0.0496 in^3

First, find the volume of the box, in inches:

3.1 * 1.6 * = 4.96

Then, find the density of the 100 paper clips:

(let d = density)

100d = 4.96

d =  0.0496

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solong [7]
The better deal is the 200 calculators
3 0
2 years ago
Two functions are given.
ArbitrLikvidat [17]

Hi

f(x) = g(x)   if    -x²+3x-2   - ( -x+1) = 0

                      -x² +3x-2 +x-1 = 0

                      -x² +4x -3 = 0

To solve, tou have to use the general method of resolution of a quadratic fonction.  

To determine if it's has a solution in R, let's calculate  Δ

Δ = (4)² - 4 * (1) *(-3)

Δ = 16 +12

Δ= 28  

as Δ≥ 0  so  the function allow two solution within R  

so S 1 =  ( -4 +√28) / 2            S 2 =   (-4 -√28 ) /2

    S1 =   ( -4 + 2√7) /2            S2 =    (-4 - 2√7) /2

    S1 =    (2 (-2 +√7) /2            S2      2 (-2 -√7)   /2

    S1 =    -2 +√7                       S2 =      -2 -√7

So the two function  are equal   twice. one  for   x = -2 +√7  and second x = -2-√7

4 0
3 years ago
A stick 43 inches long is broken into two pieces, so that one piece is twice as long as the other. How long are the two pieces?
allsm [11]

Answer:

One piece is  \frac{43}{3} inches and another piece is \frac{86}{3} inches


Step-by-step explanation:

Let smaller piece length be s

Let larger piece length be  l


Since total of two pieces is 43, we can write:

s+l=43


Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:

l=2s


<em>Substituting equation 2 into equation one, we can solve for s:</em>

s+l=43\\s+(2s)=43\\3s=43\\s=\frac{43}{3}

<em>Thus longer piece is:</em>

l=2s=2(\frac{43}{3})=\frac{86}{3}

3 0
3 years ago
All rectangles are paralloelograms
Anni [7]

Answer:

not all rectangles are paralloelograms.

Step-by-step explanation:

8 0
2 years ago
One morning the temperature is -28 degrees in Anchorage, Alaska, and +65 degrees in Miami, Florida. Which city is warmer in the
Alecsey [184]

Answer:

B. Miami is 93 degrees warmer than Anchorage.

Step-by-step explanation:

Miami-Anchorage is equal to 65-(-28) which is equal to 65+28 which is equal to 93. Thus, Miami is warmer by 93 degrees.

3 0
3 years ago
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