An apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant. The apartment building has 92 total occupants.

2× + 16 =92

How many double-occupancy apartments are currently rented?

Answers

Answer 1

The currently rented double-occupancy apartments are 38 apartments.

Step-by-step explanation:

An apartment has rented x apartments with two occupants and 16 apartments with one occupant and the total occupants were 92, these can be written in the equation as

[tex]2x+16=92[/tex]

To find the number of double occupancy apartments that are rented, we need to solve the equation and find the value of x.

[tex]2x+16=92[/tex]

Subtracting 16 from both sides of the equation,

[tex]\begin{aligned}&2 x=92-16\\&2 x=76\end{aligned}[/tex]

Dividing both sides by 2, we get,

[tex]\begin{aligned}\frac{2 x}{2} &=\frac{76}{2} \\x &=38\end{aligned}[/tex]

Thus, there are 38 double-occupancy apartments are currently rented.

Answer 2

The correct answer is that there are 38 double-occupancy apartments currently rented.

To solve the problem, we start with the given equation that represents the total number of occupants in the apartment building:

[tex]\[ 2x + 16 = 92 \][/tex]

This equation takes into account that each double-occupancy apartment (x) houses two occupants, and there are also 16 single-occupancy apartments. We want to find the value of x, which represents the number of double-occupancy apartments.

First, we subtract 16 from both sides of the equation to isolate the term with x:

[tex]\[ 2x + 16 - 16 = 92 - 16 \][/tex]

[tex]\[ 2x = 76 \][/tex]

Next, we divide both sides of the equation by 2 to solve for x:

[tex]\[ \frac{2x}{2} = \frac{76}{2} \][/tex]

[tex]\[ x = 38 \][/tex]

Therefore, there are 38 double-occupancy apartments currently rented in the building. This matches the correct answer provided at the beginning.


Related Questions

How many solutions does this system have? 12 x - 4 y = - 8. y = 3 x + 2.

Answers

Answer:

infinite

Step-by-step explanation:

if you graph the  equation it would overlap.

overlap = infinite

parallel = no solution

intersect = one solution

Plz answer urgent...A total of 247 students were surveyed about what they liked best for lunch. The results can be shown in a two-way frequency table. Fill in the table below and answer the questions

Answers

Answer:

Nein, du schlauer Penner

Step-by-step explanation:

I worked out everything and this is the filled in chart

What is the result when the number 17 is increased by 7.3%

Answers

Answer: 18.241

Step-by-step explanation:you have to take 17 times .073. Which is 1.241. Then add that to 17

Final answer:

To calculate a 7.3% increase on 17, multiply 17 by 0.073 to find the increase amount of 1.241 and add it to the original number, leading to a final result of 18.241.

Explanation:

To find the result when the number 17 is increased by 7.3%, we need to calculate the percentage increase and add it to the original number. The calculation is as follows:

Find 7.3% of 17 by multiplying 17 by 0.073 (7.3/100).The result of this multiplication gives us an increased amount.Add this increase to the original number to find the final result.

Performing the calculation:

17 times 0.073 = 1.241Now, add this increase to the original number: 17 + 1.241 = 18.241

Therefore, when the number 17 is increased by 7.3%, the result is 18.241.

Rewrite 4^5=1024 as a logarithmic equation.

Answers

log(4) 1024 = 5. The 4 is the log base.

Log base 4 of 1024 equals 5.
Final answer:

To rewrite the equation 4^5 = 1024 as a logarithmic equation, we use the definition of a logarithm to get log4(1024) = 5, which indicates that 4 raised to the power of 5 equals 1024.

Explanation:

To rewrite the exponential equation 4^5 = 1024 as a logarithmic equation, we need to apply the definition of a logarithm which states that if b^y = x, then logb(x) = y. In this case, our base (b) is 4, the exponent (y) is 5, and the result (x) is 1024. Therefore, the equivalent logarithmic equation is log4(1024) = 5.

Remember that a logarithm essentially answers the question: To what exponent must the base be raised to produce a given number? Here, we are saying that 4 must be raised to the power of 5 to get 1024. This transformation from an exponential to a logarithmic form is a fundamental concept in mathematics, particularly when dealing with logarithmic scales and operations.

Karen and Katy were putting a puzzle together. Karen was four times faster at matching the pieces than Katy. If there were 80 pieces to the puzzle, how many pieces did Karen match?

Answers

Answer:

64! For those of you that really need help!

Step-by-step explanation:

Answer:64

Step-by-step explanation:64

Ava and Jiao each swam a two-lap swimming race. Ava took 31.49 seconds to finish her first lap and 30.03 seconds to finish her second lap. Jiao finished her two-lap swimming race 1.76 seconds faster than Ava. What was Jiao’s total swimming time, in seconds, after she finished her two-lap race?

Answers

Answer:

Jiao's total swimming time is 59.73 seconds

Step-by-step explanation:

i) Ava took 31.49 seconds to finish her first lap.

ii) Ava took 30.03 seconds to finish her second lap.

iii) Therefore Ava took 31.49 + 30.03 = 61.49 seconds to complete her two laps.

iv) Jiao finished her two-lap swimming race 1.76 seconds before Ava.

v) Jiao's total swimming time = 61.49 - 1.76 = 59.73 seconds

What is 4.356 rounded to the nearest whole number?

Answers

Answer:

Nearest whole is 4

Step-by-step explanation:

The answer is 4

What are whole numbers?

The complete set of natural numbers along with '0' are called whole numbers. The examples are: 0, 11, 25, 36, 999, 1200, etc.

Given here: The decimal number 4.356

Thus rounding to nearest whole number we get 4

Hence, The answer is 4

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Simplify the number. (-32)^6/5

Answers

Answer:

-64

Step-by-step explanation:

-32^(6/5) =-(  [tex]}\sqrt[5]{32}[/tex])^6

               = -(2)^6

               = -64

The Simplification of the given expression is -64.

Simplification is the procedure to utilize and analyze the function or expression to make the function or expression uncomplicated.

The given expression is:

[tex]-32^{6/5} =[/tex]

To simplify this expression, we have to combine like terms.

Combining the like terms  we get:

[tex]-32^{6/5} =[/tex] ( [tex]-( \sqrt[5]{32} )^6[/tex] )^6

              = [tex]-(2)^6[/tex]

              = -64

Therefore, the value of the given expression is -64.

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Here’s another one thank u all for helping me. I really appreciate it!


And the last option is 95.6

Answers

Area of Square = 3² = 9 in²

Area of Rectangle = 3x10 = 30 in²

Area of Circle = 3.14(4.5)² = 63.585 in²

Add them all up and you get... 102.585.

answer: second choice

Second one
102.6
Why? Cause I took this already

The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:

A graph titled Motion of a Dragonfly shows Time in hours on the x axis and Distance in miles on the y axis. The scale on the x axis shows number from 0 to 10 at increments of 2, and on the y axis, the numbers are shown from 0 to 220 at increments of 44. A straight line joins the ordered pairs 0, 0 and 2, 44 and 4, 88, and 6, 132

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed?

The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles.
The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles.
The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.

Answers

Answer:

The dependent variable is the distance, the equation is y = 22x, and the dragonfly will travel 528 miles.

Step-by-step explanation:

See the graph attached.

It is clear from the graph that the dependent variable is distance and the equation of the straight line is y = 22x, where x is the independent variable times in hours and y is the dependent variable distance in miles.

Now, for x = 24 hours, from the equation we get, y = 22 × 24 = 528 miles.

So, the dragonfly will travel 528 miles. (Answer)

Answer:

The answer is C. The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles.

I did the test, oh yeah and good luck on the test!!!!!!

The perimeter of a retangular field is 294 yards. If the width of the field is 64 yards what is the length?

Answers

Answer:

83 yards

Step-by-step explanation:

We are given;

Perimeter of rectangle is 294 yards Width is 64 yards

We are required to determine the length;

we need to know how to get the perimeter of the rectangle;Perimeter = 2( length + width)

That is;

P = 2 (L + W)

P = 2L + 2W

Rearranging the formula;

2L = P - 2W

Therefore;

2L = 294 yards - 2 (64 yards)

     = 294 - 128

     = 166

L = 166 ÷ 2

  = 83 yards

Thus, the length of the rectangle is 83 yards.

Please Help!! Questions 15-17.
Show you work
Thank you!!

Answers

Answer:

Step-by-step explanation:

Nathan drew a scale drawing of a hotel. A room in the hotel is 55 inches long in the drawing. The actual room is 22 feet long. What scale did Nathan use?

Answers

Answer:

Nathan use scale of 5 inches : 2 feet.

Step-by-step explanation:

Given:

Nathan drew a scale drawing of a hotel.

A room in the hotel is 55 inches long in the drawing.

The actual room is 22 feet long.

Now, to find the scale Nathan use.

The scale drawing of room = 55 inches.

The actual room = 22 feet.

Now, to get the scale Nathan use we set the ratio:

The scale drawing of room : The actual room.

= [tex]55\ inches:22\ feet[/tex]

[tex]=\frac{55}{22}[/tex]

[tex]=\frac{5}{2}[/tex]

[tex]=5\ inches:2\ feet.[/tex]

Therefore, Nathan use scale of 5 inches : 2 feet.

Final answer:

The scale factor Nathan used is 2/5.

Explanation:

To find the scale factor, we can set up a proportion using the length in the drawing and the actual length. Let x represent the scale factor. The proportion can be set up as follows:

55 inches / 1 = 22 feet / x

Cross multiplying, we get:

55 * x = 1 * 22

Simplifying, we have:

x = 22 / 55 = 2 / 5

Therefore, the scale factor Nathan used is 2/5.

please help with ixl problem pls get it right has 2 people get it wrong out of points please help:(

Answers

Answer:

y=2x + 3

Step-by-step explanation:

I checked I'm positive this is right lol

Which integer represents the following: –(–(–65))?

65
-65

Answers

Answer:

Step-by-step explanation:

-(-(-65))

a neg times a neg times a neg = negative

ur answer is -65

Answer:

- 65

Step-by-step explanation:

–(–(–65))?

Note: - × - = +

- × + = -

So, +(-65) = -65

Find the value of x. Round your answer to the nearest tenth.
A.) 12.5
B.) 10
C.) 13
D.) 9.7

Answers

The value of x "option A) 12.5" is required answer.

Step-by-step explanation:

In given figure,

Base (b) = 11 and Angle = 28°

To find, the value of x = ?

We know that,

[tex]\cos A=\dfrac{b}{h}[/tex]

Where, h is the hypotaneous = x

⇒ [tex]\cos 28=\dfrac{11}{x}[/tex]

⇒ [tex]x=\dfrac{11}{\cos 28}[/tex]

The value of [tex]\cos 28[/tex] = 0.8829

⇒ x = [tex]\dfrac{11}{0.8829}[/tex]

⇒ x = 12.458

⇒ x ≈ 12.5

∴ The value of x ≈ 12.5

Thus, the value of x "option A) 12.5" is required answer.

There are 625 students at Medin Middle School. If there 8% of the students were absent on Tuesday, how many students were absent?

Answers

Final answer:

To calculate the number of absent students at Medin Middle School, multiply the total number of students, 625, by 8%, which results in 50 absent students.

Explanation:

The question is asking to calculate the number of students who were absent from Medin Middle School on a given Tuesday when 8% of the student body did not attend. To find out how many students were absent, multiply the total number of students, 625, by the percentage of absentees, which is 8%.

The calculation is as follows:

Absent students = Total students × Percentage of absence
Absent students = 625 × 0.08
Absent students = 50

Therefore, there were 50 students absent from Medin Middle School on Tuesday.

If X = 16 feet and Y = 8 feet, what is the area of the figure above ? Use 3.14 for pi .

A. 153.12 feet^2

B. 178.24 feet^2

C. 228.48 feet^2

D. 52.56 feet^2 ​

Answers

Answer:

A

Step-by-step explanation:

You can probably figure out the rectangle of 16 by 8 so no explaining there. 16×8=128. You know that diameter of the cirkel is equal to y so 8. The diameter of a cirkel is two times its radius. so 8=2r. r=4. The area of a cirkel is calculated by the formula \pi×r^2. Fill in r=4 in \pi×r^2 gives us \pi×4^2=16\pi. You only have half of the cirkel so 16\pi/2=8\pi. 128+8\pi=153.12 which is A.

What are the slope and the y-intercept of the linear function that is represented by the equation 8 x minus 2 y = 5?
The slope is Negative five-halves, and the y-intercept is 4.
The slope is Five-halves, and the y-intercept is 4.
The slope is 4, and the y-intercept is Negative five-halves.
The slope is 4, and the y-intercept is Five-halves.

Answers

Answer:

The slope is 4, and the y-intercept is Negative five-halves

Step-by-step explanation:

we have

[tex]8x-2y=5[/tex]

This is the equation of the line in standard form

Convert the equation in slope intercept form

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

Isolate the variable y

Subtract 8x both sides

[tex]-2y=-8x+5[/tex]

Divide by -2 both sides

[tex]y=4x-\frac{5}{2}[/tex]

therefore

[tex]m=4\\b=-\frac{5}{2}[/tex]

The slope is 4, and the y-intercept is Negative five-halves

Given that,

The linear function that is represented by the equation 8 x minus 2 y = 5.

Based on the above information, the calculation is as follows:

8x - 2y = 5

We know that y = mx + b

Here  

m is the slope

b is the y-intercept

Isolate the variable y

So,

-2y = -8x + 5

Now divide 2 by both sides

[tex]y = 4x - \frac{5}{2}[/tex]

So,

m = 4

And b [tex]= \frac{-5}{2}[/tex]

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Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.

Answers

Answer: 0.1359

Step-by-step explanation:

mean = $400

Standard deviation = $50

Since the wages is normally distributed , the first thing is to find the z - score.

z = [tex]\frac{x-mean}{standard deviation}[/tex]

finding the z - value for 300 and 350 , we have

z = [tex]\frac{300-400}{50}[/tex]

z = [tex]\frac{-100}{50}[/tex]

2 = -2

also

z = [tex]\frac{350-400}{50}[/tex]

z = [tex]\frac{-50}{50}[/tex]

z = -1

The next thing is to check the calculated value on z - table.

From z - table :

P (z[tex]\leq[/tex] -2 ) = 0.0228

P ( z [tex]\leq -1[/tex] ) = 0.1587

combining the two

P ( -2[tex]\leq[/tex]z[tex]\leq[/tex]-1 ) = 0.1587 - 0.0228

P ( -2[tex]\leq[/tex]z[tex]\leq[/tex]-1 ) = 0.1359

Therefore , the the probability that a worker

selected at random makes between

$300 and $350 = 0.1359

Answer:13.5

Step-by-step explanation:

If the numerator and denominator of a fraction are both prime numbers and are not equal to each other, can the fraction be simplified?

Answers

Answer:

No, primes cannot be divided by anything else then the number itself and one. Therefor you cannot divide it by any other prime.

Final answer:

A fraction with a numerator and denominator that are both prime numbers and different from each other cannot be simplified because there are no common factors to remove, as prime numbers only have 1 and themselves as factors.

Explanation:

If the numerator and denominator of a fraction are both prime numbers and are not equal to each other, the fraction cannot be simplified further. This is because prime numbers have only two factors: 1 and themselves. To simplify a fraction, you would prime factorize both the numerator and the denominator and then remove any common factors found in both.

However, since prime numbers have no other factors besides 1 and the number itself, and the two primes in our fraction are not equal, there are no common factors to remove. For example, in the fraction ⅓, both 3 and 5 are prime and there is no number other than 1 that can divide both. Hence, ⅓ is already in its simplest form.

What are the solutions of x2 +6x-6 = 10?

Answers

Answer:

X= 2, -8

Step-by-step explanation:

Hope this helps ;)

Answer:

-8, 2

Step-by-step explanation:

what is answer to ax+5=20

Answers

Ax =15 because 15+5=20

Answer:

ax = 20 - 5

ax = 15

Hope it helpss!!

If a 16 fl oz bottle of water costs $1.50, and a gallon of gasoline costs $3.50. Which Costs more?

Answers

PLEASE MARK BRAINLIEST!

Answer:

Let's find out!

Step-by-step explanation:

**There is 128 fl oz in a gallon**

To solve, we will try and find the unit rate of 1 fl oz of both the cost of the water and the cost of the gasoline. A unit rate is when the denominator of a fraction is 1, showing how much of something equals 1 of the denominator. For example, if the cost was $1 for 1 fl oz, the cost of a gallon of gasoline would be $128.

[tex]\frac{cost(dollars)}{fl|oz}[/tex]

[tex]\frac{1.50}{16}[/tex] ÷ [tex]\frac{16}{16} = \frac{0.09375}{1} = \frac{0.09}{1}[/tex]

[tex]\frac{3.50}{16}[/tex] ÷ [tex]\frac{128}{128} = \frac{0.02734375}{1} = \frac{0.03}{1}[/tex]

For every 1 fl oz of water, it will cost $0.09

For every 1 fl oz of gasoline, it will cost $0.03

Which costs more?

Your answer is the water.

I hope this helps!

- sincerelynini

which of the following describes a compound
- a single atom
- a particle that is smaller than at atom
- two or more types of atoms chemically bonded together
- two unrelated atoms that are not chemically bonded ​

Answers

Answer:

A compound is two or more types of atoms chemically joined together.

i hope this helps

have a nice day

please mark brainliest

The statement describes a compound: "two or more types of atoms chemically bonded together". The correct answer would be an option (C).

What is the compound?

Compounds are pure molecules made up of two or more separate elements' atoms. Compounds can be disassembled into their constituent parts. These compounds are composed of a set number of atoms. Carbon monoxide CO is an example of a chemical compound.

A compound is a substance made up of two or more different types of atoms that are chemically bonded together.

So, two or more types of atoms chemically bonded together describe a "compound".

Hence, the correct answer would be an option (C).

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As a science expirment Mo and Jo want to send their rocket into space. They need 1/4 cup of water and 1/6 cup of a secret component. How much is there of these two components together?

Answers

There are [tex]\frac{5}{12}[/tex] of these components together

Solution:

As a science experiment Mo and Jo want to send their rocket into space

They need 1/4 cup of water and 1/6 cup of a secret component

From given question,

[tex]\text{Cup of water} = \frac{1}{4}\\\\\text{Cup of secret component } = \frac{1}{6}[/tex]

How much is there of these two components together?

So we need to add these together

[tex]\text{Cup of water}+ \text{Cup of secret component } = \frac{1}{4} + \frac{1}{6}\\\\\text{Cup of water}+ \text{Cup of secret component } = \frac{1 \times 6}{4 \times 6} + \frac{1 \times 4}{6 \times 4}\\\\\text{Cup of water}+ \text{Cup of secret component } =\frac{6}{24} + \frac{4}{24}\\\\\text{Cup of water}+ \text{Cup of secret component } = \frac{6+4}{24} = \frac{10}{24} = \frac{5}{12}[/tex]

Thus there are [tex]\frac{5}{12}[/tex] of these components together

Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. What is the original price of the skirt?

Answers

Answer:

The original price of the skirt is $24

Step-by-step explanation:

The complete question is

Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?

Let

x ----> the original price of the blouse

y ---> the original price of the skirt

we know that

Three fourth of the sum of the original price of the blouse and the original price of the skirt, must be equal to the total paid for the two items

so

The linear equation that represent this situation is

[tex]\frac{3}{4}(x+y)=31.50[/tex]

we have

[tex]x=18[/tex] ----> given problem

substitute the value of x in the expression above and solve for y

[tex]\frac{3}{4}(18+y)=31.50\\[/tex]

Multiply by 4 both sides

[tex]3(18+y)=4(31.50)\\54+3y=126\\3y=126-54\\3y=72\\y=24[/tex]

therefore

The original price of the skirt is $24

multiply 1/4 how many times​

Answers

if you multiply it 4 times it will equal one whole

Step-by-step explanation:

not sure if that's what ya wanted but yeah

WHATS THE SLOPE
FAST CORRECT ANSWER = Thanks + Brainliest + 5 stars + 8 points

Answers

Answer:

The slope of g(x) is: [tex]m=0[/tex]

The slope of f(x) is: [tex]m-1[/tex]

Step-by-step explanation:

For this exercise you need to know that:

1. By definition the slope of any horizontal line is zero ([tex]m=0[/tex])

2. The slope of a line can be calculated using the following formula:

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

In this case, you can observe in the graph of the function g(x) given in the exercise that it is an horizontal line.  Then, based on the explanation given before, you can conclude that its slope is:

[tex]m=0[/tex]

To find the slope of the function f(x) shown in the table attached, you need to follow these steps:

- Choose two points  from the table:

[tex](0,3)[/tex] and [tex](4,-1)[/tex]

- You can say that:

[tex]y_2=-1\\y_1=3\\\\x_2=4\\x_1=0[/tex]

- Substitute values into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]:

[tex]m=\frac{-1-3}{4-0}[/tex]

- Finally, evaluating, you get:

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

in the equation 3(x - 1) = 2x + c for what value of c will x = 3

Answers

Answer:

0

Step-by-step explanation:

replace x with 3 and you will get the answer

Other Questions
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