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elena55 [62]
3 years ago
10

A stack of 180 cards is placed next to a ruler in the height of stack is measured to be 3 fourths of an inch how thick is one ca

rd
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0

Height of the stack = 3 fourth of an inch

                                = \frac{3}{4} × (1 inch)

Height of 180 cards = \frac{3}{4} × (1 inch)

Thickness of 1 card = \frac{3}{4} × \frac{1}{180} × (1 inch)

                                = \frac{1}{240} × (1 inch)              

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zimovet [89]

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3 years ago
One canned juice drink is 20% orange juice, another is 5% orange juice, how many liters of each should be mixed together in orde
gavmur [86]

Answer:

11 L of 20% juice and 4 L of 5% juice

Step-by-step explanation:

Let

x L = amount of 20% juice

y L = amount of 5% juice

<u>20% juice:</u>

Amount = x L

Amount of juice =0.2x L

<u>5% juice:</u>

Amount = y L

Amount of juice =0.05y L

<u>16% juice:</u>

Amount = 15 L

Amount of juice =0.16\cdot 15=2.4 L

We mixed x L of 20% juice with y L of 5% juice to get 15 L of 16% juice, so

x+y=15

and

0.2x+0.05y=2.4

From the first equation:

x=15-y

Substitute it into the second equation:

0.2(15-y)+0.05y=2.4\\ \\20(15-y)+5y=240\\ \\300-20y+5y=240\\ \\-20y+5y=240-300\\ \\-15y=-60\\ \\15y=60\\ \\y=4\ L\\ \\x=15-4=11\ L

4 0
4 years ago
one interior angle of a polygon is equal to 800 and each of the other interior angles are 128 degrees. Find the number of sides
KiRa [710]

Answer:

6

Step-by-step explanation:

Given information:

Interior angle of a polygon cannot be more that 180°.

One interior angle = 80^{\circ}

Other interior angles are  = 128^{\circ}

Let n be the number of sides of the polygon.​

Sum of interior angles is

Sum=80+128(n-1)

Sum=80+128n-128

Combine like terms.

Sum=128n-48           .... (1)

If a polygon have n sides then the sum of interior angles is

Sum=(n-2)180

Sum=180n-360           .... (2)

Equating (1) and (2) we get

180n-360=128n-48

Isolate variable terms.

180n-128n=360-48

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Divide both sides by 52.

n=\frac{312}{52}

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Therefore the number of sides of the polygon is 6.

8 0
3 years ago
How do you find the Circumference of parts of circles?
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3 years ago
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