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statuscvo [17]
1 year ago
7

Shelter A has a capacity of 300 beds and is 80% occupied. Shelter B is 45% occupied. The ratio of the occupancy of shelter A to

shelter B is 16:27. How many beds are in shelter B?
Mathematics
1 answer:
sasho [114]1 year ago
3 0

Answer:there are 900 beds in shelter B

Step-by-step explanation:

Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be

80/100 × 300 = 0.8 × 300 = 240 beds.

Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is

45/100 × x = 0.45 × x = 0.45x beds.

Total occupancy of shelter A and shelter B would be

240 + 0.45x

The ratio of the occupancy of shelter A to shelter B is 16:27

Total ratio of occupancy = 16 + 27 = 43

Therefore

27/43 × (240 + 0.45x) = 0.45x

27(240 + 0.45x) = 0.45x × 43 = 19.35x

6480 + 12.15x = 19.35x

6480 = 19.35x - 12.15x = 7.2x

x = 6480/7.2 = 900

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Which fraction represents the decimal 0. ModifyingAbove 1 2 with Bar?
Licemer1 [7]

Answer:

\frac{3}{25}

Step-by-step explanation:

Given that \overline{0.12} is the repeating decimal.

The repeating decimal \overline{0.12} is converted into the fraction as :

\overline{0.12} = \frac{3}{x}

<=> 0.121212 = \frac{3}{x}

Multiplying both sides by x, we have,

<=> 0.121212x = 3

Dividing both sides by 0.121212, we get:

<=> x = \frac{3}{0.121212}

<=> x = 25

So the  fraction represents the decimal \overline{0.12} is: \frac{3}{25}

Hope it well find you well.

6 0
2 years ago
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A family needs to build fencing around their rectangular home and square swimming pool, depicted below. A rectangle labeled home
Andrej [43]

Answer:

The total amount of fencing they need can be written as  

38 x + 10.

If x = 5;

The family needs  160  yards of fencing for their home.

The family needs  40  yards of fencing for their pool.

Step-by-step explanation:

5 0
1 year ago
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Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her
Anastasy [175]

For this problem, we plug in the <em>numbers for t</em> and the <em>appropriate letters for e</em> to the equation <em>e = 300 - 10t</em>.

a) a = 300 - 10(-2)

simplify: a = 300 + 20

simplify: a = 320 ft.

But, this is not a viable point because when t≤0, she doesn't move anywhere, thus, should consistently be 300 ft.

b) b = 300 - 10(3.5)

simplify: b = 300 - 35

simplify: b = 265 ft.

c) c = 300 - 10(30)

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1 year ago
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Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be wo
Katena32 [7]

Answer:

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

Step-by-step explanation:

Let

t ------> is the number of minutes he spends on each scale

Remember that the phrase "at least"  is equal to "greater than or equal"

so

The inequality that represent this scenario is

70-5t \geq 55

solve for t

-5t \geq 55-70

-5t \geq -15

Multiply by -1 both sides

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Sven is incorrect

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Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

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1 year ago
Kim solved the equation below by graphing a system of equations. log2(3x-1)= log4(x+8) What is the approximate solution to the e
kifflom [539]

Answer:

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Step-by-step explanation:

A screenshot of the graph is attached.

Once we graph the equations y=\log_2(3x-1) and y=\log_4(x+8), the solution to this system will be their intersection point.

Tracing the graph on the calculator, we see that the point of intersection is at about (1.35, 1.6).

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