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Mnenie [13.5K]
3 years ago
8

Shelter A has a capacity of 300 beds and is 70% occupied. Shelter B is 35% occupied. The ratio of the occupancy of shelter A to

shelter B is 2:5. How many beds are in shelter B?
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
3 0

Answer:

1500

Step-by-step explanation:

If shelter A is 70% occupied and there are 300 beds, the number of beds occupied is (0.7 x 300) = 210

Let x = occupancy rate in shelter b

from the question and based on the above calculations, the next equation can be derived

\frac{210}{b} = \frac{2}{5}

Solve for b = (210 x 5) /2 = 525

The occupancy rate in B is 525 beds

We know that B is 35% occupied

Let's represent the total number of occupancy in b with y

0.35y = 525

y = 525/0.35 = 1500

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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
Please help me with this
Fittoniya [83]
160•.60=96
160-96=64
the discount is 96 and the amount after the discount is 64 i think
7 0
3 years ago
La longitud de una varilla es de 12 pulgadas y la de otra varilla es de
gulaghasi [49]

Answer:

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6 0
3 years ago
Velocity/acceleration?
cupoosta [38]

Velocity = dx/dt

Acceleration = dv/dt

Velocity/Acceleration = dx/dt * dt/dv = dx/dv

So, your answer will be dx/dv

6 0
3 years ago
A road map of the state of Texas has a scale of 0.5 miles in =50 miles. If the distance between two points in the state is 600 m
tamaranim1 [39]

Answer:

6 miles

Step-by-step explanation:

Let's set up a ratio:

\frac{0.5}{50}=\frac{x}{600}

We can use "cross multiplication" to solve for x

Cross multiplication is multiplying the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction.

0.5*600=50x

300=50x

Divide both sides by 50 to isolate x

x=6

8 0
2 years ago
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