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rosijanka [135]
3 years ago
10

A box of staples contains 6 x 103 staples and weighs 12 oz. How much does one staple

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

2 * 10^-3 oz

Step-by-step explanation:

Given that:

Number of staples per box = 6 * 10^3

Weight of staple box = 12 oz

Weight per staple = (weight of staple box / number of staples per box)

Weight per staple = 12 / 6 * 10^3

Weight per staple = 12 / 6 * 1000

= 12 / 6000

= 0.002 oz

= 2 * 10^-3 oz

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We sketch the two similar shapes and they are as shown in the attachment. We want to write corresponding side's length in ratio

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Writing the two ratio as fraction gives
\frac{x-3}{2x-1} =  \frac{x-4}{2x-4}

Cross multipliying gives (x-3)(2x-4)=(x-4)(2x-1)&#10;

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3 years ago
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Chris purchased a tablet for $650. The tablet depreciates at a rate of $25 per month.
Troyanec [42]

Let d equal the final amount it depreciates.

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Since it depreciates $25 every month, this number is going to be subtracted from the total price of the tablet ($650).

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3 years ago
Why are equivalent equations important when solving a system using linear combination?
TiliK225 [7]

Answer:

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7 0
3 years ago
write the equation of the line that passes through the given points expressed in slope-intercept form. m=2/3, (-4,5)
solniwko [45]

Answer:

y = \frac{2}{3}x + \frac{23}{3}

Step-by-step explanation:

To write the equation of a line with a point and a slope, use the point-slope form of a linear equation. Substitute m = 2/3 and the point (-4,5) into the equation.

y - y_1 = m(x-x_1)\\y - 5 = \frac{2}{3}(x --4)\\y - 5 = \frac{2}{3}(x+4)

Convert to slope intercept form by using the distributive property.

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3 years ago
A display of cans in a grocery store consists of 15 rows. There are 45 cans on the bottom , 42 cans on the next row, and so on,
Alchen [17]

Answer:

n = 9

Step-by-step explanation:

20 + 18 + ... + 6 + 4

---------------------------

a = 20 ; d = -2 ; n = ?

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4 = 20 + (n-1)(-2)

-16 = (n-1)(-2)

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n-1 = 8

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S(9) = (9/2)(20+4)

S(9) = 4.5*24

S(9) = 108

8 0
3 years ago
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