Shelter A has a capacity of 300 beds and is 60% occupied. Shelter B is 30% occupied. The ratio of the occupancy of Shelter A to Shelter B is 1 : 2. How many beds are in Shelter B?

Answers

Answer 1

Answer:

1200 beds

Step-by-step explanation:

Shelter A has a capacity of 300 beds and is 60% occupied.

The amount of beds occupied =

60% × 300 beds

= 60/100 × 300

= 180 beds

Shelter B is 30% occupied.

Let the number of beds in Shelter B = x

30% × x = 0.30x beds

Hence:

180 beds + 0.30x beds

The ratio of the occupancy of Shelter A to Shelter B is 1 : 2.

Let the sum of the proportion = 1 + 2 = 3

Hence:

Number of beds in Shelter B =

2/3(180 beds + 0.30x beds) = 0.3x

2/3(180 + 0.30x) = 0.3x

Cross Multiply

2(180 + 0.30x) = 0.3x × 3

360 + 0.6x = 0.9x

Collect like terms

360 = 0.9x - 0.6x

360 = 0.3x

x = 360/0.3

x = 1200 beds

Therefore, the number of beds that are in Shelter B is 1200 beds


Related Questions

how many solutions does this system of equations have ? PLZ HELP ASAP DUE AFTER CLASS !

Answers

Answer:

No Solution

Step-by-step explanation:

For system of equations, you must equal the equations to each other like shown below:

[tex]3x + 1 = 3x + 7[/tex]

Solve for x by subtracting 3x from both sides of the equation:

[tex]1[/tex] ≠ [tex]7[/tex]

18. On Faith's math test, she received
a 85%. If there were 40
questions on the test, how many
did she get right?

Answers

Answer: 40/10=4

That means 10% of 40 is 4.

Know that means you have to times 4 by 8

4x8=32

Now you know what 80% of 40 is.

Now we need to know what the 5% is. So if 4 is 10% . 5% must be 2.

Next we have to add 2 to 32.

32 + 2 = 34

Answer is 34

Step-by-step explanation:

an elementary school had an election for student council member 60 5th grade students will learn of student council election if 2/3 of students who voted for girls how many boys were there in the student council election ​

Answers

Answer:

20

Step-by-step explanation:

500 meters divided by 10 days

Answers

Answer:

50 meters per day

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

i think but ur question doesnt make sen

Write an equation in point-slope form of the line that passes through the point (−6, 6) and has a slope of m=32

Answers

Answer:

y = 32x + 198

Step-by-step explanation:

The fastest way to go about this is to establish "m" and plug in the coordinates you want.

y = 32x + b

6 = 32 (-6) + b

6 = -192 + b

198 = b

y = 32x + 198

On Monday, the temperature was 40°F. On Tuesday, the temperature increased 3°F. On Wednesday, the temperature decreased 15°F. What integer represents the overall change in temperature from Monday to Wednesday?

Answers

Answer:

Step-by-step explanation:The answer is - 12 because the temperature started changing when it raised 3+ and then it changed again by dropping -15 so, then you do 3-15 and that equals (-12).


13.
What is the image of E for a dilation with center (0,0) and a scale factor of 6?
(-30, 1)
(30, 6)
(-30, 6)
(30, -1)

Answers

Answer:

1- -5, 7

2- 5,12

3- -5,0

4- 5,-7

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

-30,6

:)

is y = 1 3 x a proportional relationship

Answers

Answer:

Yes

Step-by-step explanation:

((12 / 3^2) - (18 / 3^2)) x (4 / 2)

Answers

Answer:

−4/3

or -4/3x

or (Decimal: -1.333333)

Step-by-step explanation:

+8.2+​(−7.9​)=

−7.2+​(+6.4​)

+5.7+​(+​3.5)

−5.7+​(−​3.5)

−5.7+​(+​3.5)

+5.7+​(−​3.5)

Answers

Answer:

Step-by-step explanation:

7

6-

Progr

5

4-

Introdu

3

С

2

1+

1

20

Transla

-7 -6 -5 -4

-32

1

À 3 4 5 6 7

-2

-3

Quiz 1

-4+

A

-5

Unit

Do 5 problems

Write the algebraic expression 9r+2 as a verbal expression​

Answers

Answer:

We conclude that the algebraic expression 9r+2 can be verbally expressed in many ways such as:

Two more than 9 times a number, r.9 times a number, r, increase by 2.

Step-by-step explanation:

Given the algebraic expression

9r+2

We know that 9r is the product of 9 and 3.

Thus,

9r+2 can be verbally expressed in many ways such as:

Two more than 9 times a number, r.

or it can be also verbally expressed such as:

9 times a number, r, increase by 2.

Therefore, we conclude that the algebraic expression 9r+2 can be verbally expressed in many ways such as:

Two more than 9 times a number, r.9 times a number, r, increase by 2.

If x +9= 2, then x + 9 - 9 = 2 - 9

Answers

Answer: The answer is -16

x= -7      

Step-by-step explanation:

now that you know the value of x, rewrite the equation, if -7 + 9=2, then -7 + 9 - 9 = 2 -9. now that its easier to understand, add and subtract to get you answer, -16

At 7:00 am, the temperature was -4°F. At 9:00 am, it was 8' warmer. What was the temperature at 9:00 am?​

Answers

4 degrees I’m adding fluff because I need 50 characters but it’s negative math

What is the slope of the line shown below?

Answers

Answer:

[tex]m = \frac {1}{4}[/tex]

Step-by-step explanation:

Slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here

[tex](x_1, y_1) = (-3, -1) \ \ and \ \ (x_2, y_2)= (5, 1)[/tex]

Slope can be calculated as

[tex]m = \frac{1-(-1)}{5-(-3)}[/tex]

[tex]m = \frac{2}{8} \\m = \frac {1}{4}[/tex]

-7 2/3 + (-5 1/2) + 8 3/4 =
A.-21 11/12
B.-4 5/12
C. -4 2/4
D. 6 7/12

Answers

Answer: B. -4 5/12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Heyy guys having trouble with this im new to it from today . If u dont mind helping :)

Answers

Answer:

76

Step-by-step explanation:

total=180

180-104=76

a sphere has a volume of 4500 cubic inches. What is the radius off the shpere

Answers

Answer:

The radius of sphere with volume 4500 cubic inches is 10.24 inches.

Step-by-step explanation:

Let V be the volume of the sphere

Given

Volume of sphere = V = 4500 cubic inches

Let r be the radius of the sphere

The volume of the sphere is given by the formula

[tex]V = \frac{4}{3}\pi r^3[/tex]

Putting the known values

[tex]4500 = \frac{4}{3} * \frac{22}{7} * r^3\\4500 = \frac{88}{21} * r^3\\r^3 = \frac{21}{88} * 4500\\r^3 = 1073.8636[/tex]

Taking cube root on both sides

[tex]\sqrt[3]{r^3} = \sqrt[3]{1073.8636} \\r = 10.2403[/tex]

Rounding off to nearest hundredth

The radius is: 10.24 inches.

Hence,

The radius of sphere with volume 4500 cubic inches is 10.24 inches.

I need help with this please​

Answers

-1 i think, sorry if it’s wrong i’m not 100% sure

Your laptop battery will last for exactly 6 hours before it needs to be recharged.You have had your laptop on for
2 1/2. What fraction of your battery life remains.

Answers

Answer:

[tex]3\frac{1}{2} hours[/tex]

Step-by-step explanation:

You have to subtract 2 1/2 from 6 and that will equal 3 and 1/2.

Answer:

75%

Step-by-step explanation:

6 - 3/2 is 4.5.

So the computer has 4.5 hours.

the battery will last for 6 hours so every hour on the computer is 100/6 percentage, which is 16.6666666667.

Finally multiply 16.6666666667 and 4.5 and you will get 75%

Your final answer would be 75%

Hope it helps

Pls mark brainliest

SOMEBODY FAST ITS DUE 8:00 I WILL MARK YOU HAS BRAINLIEST

Answers

THE ANSWER IS 15.1 HOPE that helps

Answer:

15.1

Step-by-step explanation:

The equation to solve this is 12.3 - -2.8. Since there are two negatives, it becomes a positive.

Therefore the equation becomes 12.3 + 2.8 and the answer is 15.1

Simplify:

8x+3(x+5)−5(x−4)

Answers

Answer:

6x+35

Step-by-step explanation:

Answer:

6x + 35

Step-by-step explanation:

8x + 3x + 15 - 5x + 20

11x - 5x + 15 + 20

6x + 35

Please mark as Brainliest!!!

Solve each equation.
3) 4= 2x + 3.x

Answers

Answer:

Step-by-step explanation:

2x+3x=4

5x=4

x=4/5

Answer: x=4/5

Explanation: Switch sides 2x+3x=4
5x=4b. Divide both sides by 5
5x/5 =4/5
x=4/5

PLEASE HELP!!!
need the answer soon!

Answers

It would be E, 11 because when you subtract the other by 8 the answer would be less than or equal to 2

Answer:

E. 11

Step-by-step explanation:

Replace the m with 11.

11-8[tex]\leq[/tex] 2  this would simplify to

3 [tex]\leq[/tex]2 which is false.

However if you took m and replaced it with 10

10-8[tex]\leq[/tex]2 and simplified

2[tex]\leq[/tex]2 which is true. Therefore any number 10 or lower would make this true.

Which is the mode of this data? 12, 19, 22, 17, 15, 18, 15, 14, 16​

Answers

Answer: 15

Step-by-step explanation:

The mode of the data set 12, 19, 22, 17, 15, 18, 15, 14, 16​ will be 15.

What is mode of data?

A mode is described as the result in a group of items that occurs most frequently.

The data is given below.

12, 19, 22, 17, 15, 18, 15, 14, 16​

Arrange the data in ascending order.

12, 14, 15, 15, 16, 17, 18, 19, 22

Then the mode of the data set will be 15.

More about the mode of data link is given below.

https://brainly.com/question/22660714

#SPJ2

please help me out with this question!!
show your work!!​

Answers

The answer is 3 5/4 or 4 1/4 hope this helps

Which expression has three terms when simplified?
2xy
2 + xy
2x + x + y
2 + x + x - y

Answers

Answer:

3x+y

Step-by-step explanation:

hope this helps!

Which method would be appropriate to factor the polynomial below. 55x^3-40x^2 -Difference of Squares -Basic Trinomial Factoring -AC Method -Sums of Cubes -Greatest Common Factor -Factors by grouping

Answers

Answer:

Greatest Common Factor

Step-by-step explanation:

Let [tex]55\cdot x^{3}-40\cdot x^{2}[/tex], we proceed to demonstrate the appropriate form to factor the polynomial:

1) [tex]55\cdot x^{3}-40\cdot x^{2}[/tex] Given.

2) [tex](5\cdot 11)\cdot (x^2\cdot x) +[5\cdot (-8)]\cdot x^{2}[/tex] Definition of multiplication and subtraction/[tex]a^{b+c} = a^{b}\cdot a^{c }[/tex]/[tex]-a\cdot b = (-a)\cdot b[/tex]/Associative property

3) [tex](5\cdot x^{2})\cdot (11\cdot x)+ (5\cdot x^{2})\cdot (-8)[/tex] Commutative and associative properties

4) [tex]5\cdot x^{2}\cdot (11\cdot x-8)[/tex] Distributive property/Definition of subtraction/Result

Hence, we conclude that this polynomial can be factored by Greatest Common Factor.

GIVING BRAINLIEST TO WHOEVER GETS QUESTION 8 AND 9 RIGHT!!

Answers

Answer:

1 toonie 1 quarter 1 dime

2 loonies 1 quarter 2 dimes 1 nickel

Step-by-step explanation:

Answer:

C

none of the others are correct for 9

Step-by-step explanation:

please answer this question

Answers

Answer:

B

Step-by-step explanation:

trust me 100% sure

Its B me and the other guy is right

Which of the following is a linear function

(Flvs)

Answers

Answer:

The second one

Step-by-step explanation:

a linear function is one who's graph is a straight line.

A parabola is not linear.

Anything in the form k/x is not linear either.

5/6x = y-4

gives

y = 5/6x+4, which is a linear equation

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