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____ [38]
3 years ago
9

A stack of one hundred fifty cards is placed next to a ruler, and the height of the stack is measured to be

Mathematics
2 answers:
juin [17]3 years ago
6 0
.005 inches is the answer. you just divide 3/4 inches by 150
adelina 88 [10]3 years ago
4 0

Answer: One card is 0.005 inches thick.

Step-by-step explanation:

Since we have given that

Number of cards in a stack = 150

Thickness of the stack = \dfrac{3}{4}\ inches

So, Thickness of each card is calculated by "Unitary method":

Thickness of 150 cards  = \dfrac{3}{4}\ inches

Thickness of 1 card is given by

\dfrac{3}{4\times 150}\\\\=\dfrac{1}{4\times 50}\\\\=\dfrac{1}{200}\\\\=0.005\ inches

Hence, One card is 0.005 inches thick.

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Solve for the following system of equations.<br> -7x+6y=9<br> -2x-5y+16<br><br> x=?<br> y=?
Alex17521 [72]

Answer:

x = -3 and y = -2

Step-by-step explanation:

It is given that,

-7x + 6y = 9     ----(1)

-2x - 5y = 16    -------(2)

<u>To find the solution of given equations</u>

eq(1) * 2 ⇒

-14x + 12y = 18 ------(3)

eq(2) * 7 ⇒

-14x - 35y = 112   ---(4)

eq (3) - eq(4) ⇒

-14x + 12y = 18 ------(3)

<u>-14x - 35y = 112 </u>  ---(4)

    0   4y = -94

y = 94/(-47) = -2

Substitute the value of y in eq (2)

-2x - 5y = 16    -------(2)

-2x - 5*-2 = 16

-2x +10 = 16

-2x = 6

x = 6/-2 = -3

Therefore x = -3 and y = -2

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3 years ago
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Answer:

center: (1,4)

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8 0
3 years ago
If 15 counters are the whole set how many are three fifths of the set?
Travka [436]
\frac{3}{5}\ of\ 15=\frac{3}{5}\times15=\frac{3}{5}\times\frac{15}{1}=\frac{3\times15}{5\times1}=\frac{3\times3}{1\times1}=\frac{9}{1}=\boxed9
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Find the volume of the cylinder. Round your answer to the nearest tenth.
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Answer:

4948

Step-by-step explanation:

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2. Mr. Abdulla has 160 cows, goats, horses, and chickens on his farm. 19% of the animals are cows, 28% are goats, 13% are horses
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Step-by-step explanation:

28 + 19 + 13 equal 60%

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