3/7 of the people who live in the apartment building are men. 5/8 of the remaining people are women. The rest are children. a total of 275 men and women live in the building. How man people live in the apartment building altogether?

Answers

Answer 1

Answer:

Step-by-step explanation:

people in building ---- x

children --- y

men + women + children = x

(3/7)x + (5/8)(4/7)x + y = x

3x/7 + 5x/14 + y = x

times 14

6x + 5x + 14y = 14x

14y = 3x

y + 220 =x

sub into the other one

14y = 3(y+220)

11y = 660

y = 60

then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120

leaving 160 women and children

5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!


Related Questions

Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)

Answers

Answer:

y = |x - 1|

Step-by-step explanation:

This graph is the standard graph of y = |x|, shifted 1 unit right. To shift 1 unit right, we have to replace x by x - 1. This works because it replaces f(1) with f(0), f(2) with f(1), etc., shifting the entire graph right.

Help plz help I need help

Answers

Answer:

Step-by-step explanation:

There is a 1/20 chance of getting a 1.

This is a 5% chance.

I would say it's highly unlikely.

If this helped, please mark brainliest :D

Answer:

highly unlikely

Step-by-step explanation:

It's certainly not impossible because there is a 1 on the board. However, the probability of landing on the 1 is 1/20 and since that number is really small, it is highly unlikely.

Help please Name the quadrant or axis where each point lies.

Answers

Answer:

x-axis.3rd Quadrant4th Quadrant.2nd Quadrant

i neeed help i want help i will mark brainlisst if i can do that

Answers

Answer:

1/4

Step-by-step explanation:

there are 12 options, and only three are correct.  3/12 simplifies to 1/4

Answer:

1/4

Step-by-step explanation:

There are 12 possible outcomes

The ones that have a head and an even number are H2  H4   H6

P( head and even number) = head and even number/ total outcomes

                                             = 3/ 12

                                              =1/4

A function g(x) has x-intercepts at (StartFraction 1 Over 2 EndFraction, 0) and (6, 0). Which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)

Answers

Answer:

[tex]g(x) = (x-6)(2x-1)[/tex]

Step-by-step explanation:

[tex]g(x)[/tex] intercepts the x-axis at these 2 points:

[tex](6,0) ;(1/2,0)[/tex]

⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.

[tex]g(6) = g(1/2) = 0[/tex]

now in order for 0 to appear we should have [tex]x-6[/tex]

now in order for 0 to appear we should have [tex]x-1/2[/tex]

but  [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:

[tex]2(x-1/2) = 2x-1[/tex]

Therefore the function;

[tex]g(x) = (x-6)(2x-1)[/tex]

Answer:

b

Step-by-step explanation:

Dylan opened a savings account with $1,250. How much simple interest will he earn if he leaves the money in the account for three years at an interest rate of 0.03? Use the formula i = prt. $112.50 $1,125.00 $37.50 $75.00

Answers

Answer:

$112.50

Step-by-step explanation:

So first you will need to understand I=PRT, [tex]I[/tex] stands for the interest on the original investment, P stands for the amount of the original investment, R stands for the interest rate which is supposed to be in decimal form, and T is the time or the number of years you leave the money.

    So the equation if you plug in everything would be I= 1,250 times 0.03 times 3. So if you multiply all of the numbers together you would get $112.50. And that is the correct answer

Crystal earns $5.50 per hour mowing lawns. A. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.B. How much does Crystal earn if she works 3 hours and 45 minutes?

Answers

she earns $20.625 in 3 hours and 45 mins

algebra 1 help the answers are on the bottom please help me

Answers

Answer:

Answer b is correct!

Inequality Form: x <1 /2 or x > 1

Interval Notation: (-infinity, 1/2) U (1, infinity)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps :)

Correct answer is b:)

Find the number: 25% of a number is z lb.

Answers

Answer:

Depends on the number.

Step-by-step explanation:

the answer would be 1/4z lb

Evaluate the following: −3 − (−2). (5 points) a. -5 B. -1 c. 1 d. -6

Answers

Answer:

B:-1

Step-by-step explanation:

-3-(-2)=-3+2=-1

Answer:

-1

Step-by-step explanation:

[tex] - 3 - ( - 2)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 3 + 2[/tex]

Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.

Calculate:

[tex] - 1[/tex]

Some rules:

[tex]( + ) \times ( + ) = ( + )[/tex]

[tex]( + ) \times ( - ) = ( - )[/tex]

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex]( - ) \times ( + ) = ( - )[/tex]

Hope this helps..

The picture shows a triangular island:

Which expression shows the value of q?
A. r cos 550
B. r sin 550
C. sin over 55°
D. cos over 55°​

Answers

Answer:

I think the answer is C but I'm not 100% sure

Answer:

C.

Step-by-step explanation:

Follow this Phrase, Soh-Cah-Toa.

To find q we will be using Sin.

Sin uses the opposite leg and hypotenuse

the problem will be set up like this:

Sin(55)=r/q

Plz help me 3y+x=7 4x-2y=0

Answers

Answer: 3

Step-by-step explanation:

Write an equation of a line that has a y-intercept at (0, -6)

Answers

Answer:

[tex]y=x-6[/tex]

Step-by-step explanation:

    First to write this equation you will need to know slope intercept form which is the equation that the people that wrote this problem are presumably looking for. Slope intercept form can be simply written as [tex]y=mx+b[/tex] . The variable [tex]m[/tex] would be the slope while the variable [tex]b[/tex] would be the y -intercept.

    So to find out this we would have to assume that m or the slope would have to be 1 so we would have [tex]y=1x+b[/tex] or [tex]y=x+b[/tex].  

    Now we have the first half of the equation we can move on to the variable [tex]b[/tex] or the y-intercept (0,-6) . To find the variable [tex]b[/tex] we will just have to graph the point (0,-6) which as you can see from the picture is the y-intercept and that is -6 units below 0. So the final answer will be [tex]y=x-6[/tex]

y=9999x-6.
y=-5x-6
y=x-6

Any line y=Cx-6

Write a linear equation in point-slope form for the line that goes through
(-1,1) and (1,-5).
A. y+1 = -3(x+1)
B. y-1 = 3(x+1)
C. y+ 1 = 2(x - 1)
D. y-1=-3(x + 1)

Answers

Answer:

y -1 = -3(x+1)

Step-by-step explanation:

First find the slope

(-1,1) and (1,-5)

m = (y2-y1)/(x2-x1)

   = (-5-1)/(1--1)

   =-6/ (1+1)

   = -6/2

   = -3

We are using point slope form

y-y1 = m(x-x1)  where m is the slope

y - 1 = -3( x - -1)

y -1 = -3(x+1)

Answer:

The answer is option D.

Step-by-step explanation:

Equation of a line is y= mx + c

where m is the slope

Slope of the line using points

(-1,1) and (1,-5) is

[tex] \frac{ - 5 - 1}{ 1 + 1} = \frac{ - 6}{2} = - 3[/tex]

Therefore the equation of the line using point (-1,1) is

y - 1 = - 3( x + 1)

Hope this helps you

?help..........thanks you for helping me

Answers

Answer:

Step-by-step explanation:

cost of one box = RS20

IT IS 20 TIMES MORE THAN COST OF ONE BOX

Answer:

The cost of 1 small box of mixed organic vegetables is $20. The cost of 20 small boxes of vegetables is $380 more than the cost of 1 small box.

Step-by-step explanation:

Since the cost of 9 small boxes is $180, we can divide both by 9 to get the price of one small box. 180/9=20. The cost of 20 small boxes is 20 boxes multiplied by 20 dollars, which is 400 dollars. $400-$20=$380.

Can you guys please help me with this? It’s for tomorrow

Answers

1: 21
2: 4a
3: m^2
4:4x+4
5:7d+21
6:y(y+3)
7:x+1
8:d+4
9:y+3
seems u got answers for the rest so i will not answer them

find the value of a in this picture below

Answers

Answer:

[tex]\boxed{a=40}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

[tex]a[/tex] is equivalent to all the other [tex]a[/tex].

Put up an equation and solve for [tex]a[/tex].

[tex]60+a+a+a=180[/tex]

[tex]3a+60=180[/tex]

[tex]3a=120[/tex]

[tex]a=40[/tex]

Answer:

Step-by-step explanation:

in the given figure;

a+60deg.+a+a=180 deg.

=> 3a+60=180

=> 3a=180-60

=> 3a=120

=> a=120/3

   =40 deg.

s25=625, s13=169 find an

Answers

Answer:what!?

Step-by-step explanation:

I am thinking of three positive numbers. The mode is 5 The median is 5 The range is 9 Work out the three numbers.

Answers

Answer: either 5, 5, 14

First, we know the median is 5.  Thus, the middle value of the data is 5, so the set can now be read x, 5, y.  Then, because the mode is 5 and the set is not trimodal, either x or y must be 5.  Thus, the set could either be 5, 5, 14, or

-4, 5, 5.  However, because it must contain only positive number, the answer is 5, 5, 14

Hope it helps <3

The three positive numbers will be 5, 5 and 14.

Mode is the number that occurs most in a setMedian is the number that occurs in the middle.The Range is the difference between the highest and the lowest number.

In this case, we've been given 2 of the numbers to be 5.

Then, the last number will be:

x - 5 = 9

x = 9 + 5

x = 14

Therefore, the three positive numbers are 5, 5 and 14.

Read related link on:

https://brainly.com/question/24429956

Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?

Answers

Answer:

132 tiles

Step-by-step explanation:

We would just take the average of 15% and 20% which would be 17.5% and we could round up to 18% so 18% of 111.8 is 20.124 and if you add them together you would get 131.9 and that rounds up to 132 tiles.

Thank you for helping

Answers

Answer:

The answer is option B

Step-by-step explanation:

Using BODMAS the expression in the bracket

that's

( 9 + 3) must be solved first

Hope this helps you

the answers is B always start with the ()

Mandy works construction. Shes knows that a 5 meter long metal bar has a mass of 40 kg.Mandy wants to figure out the mass (w) of a bar made out of the same metal that is 3 meters long and the same thickness.

Answers

Answer:

24 kg

Step-by-step explanation:

40/5 = 8 and 3x8 = 24

Answer:

24 kg

Step-by-step explanation:

[tex]\frac{5}{40} =\frac{3}{w} \\5w=120\\w=\frac{120}{5}=24[/tex]

Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each. Design component Number of options Primary color 888 Secondary color 888 Sole color 888 Lace color 555 How many different shoe combinations can Arturo create?

Answers

Answer:

2560

Step-by-step explanation:

Answer:

2,560

Step-by-step explanation:

To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.

8 x 8 x 8 x 5 = 2560

Hope this helps!! ;)

If 6 is subtracted from 3 times a certain number, the result is 84. Find the number.

Answers

Answer:

30

Step-by-step explanation:

So to do this you would set up the equation [tex]3x-6=84[/tex] than you would add 6 to both sides so you would get [tex]3x=90[/tex] than you would divide 3 from both sides so [tex]x=30[/tex] and that is the final answer which is correct

3x-6=84
3x=90
x=30
The number is 30.

HELP PLEASE 40 POINTS The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year. A graph shows Number of Bushels on x-axis and Price of Corn in dollars on y-axis. The x-axis scale is shown from 0 to 21 at increments of 3, and the y-axis scale is shown from 0 to 168 at increments of 24. A straight line joins the ordered pairs 3, 24 and 6, 48 and 9, 72 and 12, 96 and 15, 120 and 18, 144. Previous Year Number of Bushels Price of Corn (dollars) 3 21 6 42 9 63 12 84 Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. AND IT IS NOT QUESTION AND ANSWER PLEASE LOOK AT THE GRAPH AND READ THE PARAGRAPH

Answers

Answer:

see below

Step-by-step explanation:

Part A

Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels

24/3 = 8 dollars/ bushel

Part B

Previous Year Number of Bushels Price of Corn (dollars)

                                                  3 21

                                                 6 42

                                                  9 63

                                                 12 84

We can find the rate of change for the previous year by using the slope formula

m = (y2-y1)/(x2-x1)

m = (84-63)/(12-9)

    =21 / 3  

    = 7

The previous year was 7 dollars per bushel

The increase was 8-7 = 1 dollar per bushel

Answer:

Part A: 8 dollars/brushel

Part B: 1 dollar/brushel

Step-by-step explanation:

Without reading the question you can already conclude that this is a linear equation. Also, we can easily get the linear function:

[tex]f(x)=8x[/tex]

Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value.

We know that a linear function has a constant rate of change, and that is called SLOPE.

In order to calculate the slope of the linear function:

[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{48-24}{6-3}= \frac{24}{3} = 8$[/tex]

Therefore, the rate of change of a bushel of corn in the current year is 8

Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work.

Previous Year Number of Bushels Price of Corn (dollars)

Ordered pairs:

[tex](3, 21); (6, 42); (9, 63); (12, 84)[/tex]

Let's calculate the slope again.

[tex]$m=\frac{\Delta y}{\Delta x} = \frac{y_{2}- y_{1}}{x_{2}-x_{1}}= \frac{42-21}{6-3}= \frac{21}{3} = 7$[/tex]

The difference is  1 dollar/brushel.

Explain how to create a Stem-and-Leaf plot using the 6 rules. And write down what the 6 rules are.

Answers

Answer:

The 6 rules/steps are below

Step-by-step explanation:

1. determine the smallest and largest number

2. Using the largest and smallest number, make sure that your graph can fit both of those numbers

3. identify the stems/tens place

4. fill in the leaves/ones place

5. Sort them from lowest to highest

6. Check

What is the sum of the probabilities in a uniform probability distribution? A) 0 B) infinite C) 1 D)2

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Probability.

Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,

Event favourable and Not Favourable.

the Sum of both always end up as 1.

thus sum of the probability distribution is 1.

The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

What is a uniform probability distribution?

A uniform distribution is a probability distribution in which all events have the same probability.

Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.

How do we solve the given question?

The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x  ≤ b.

To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).

[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]

The sum can also be found using the graph attached, calculating the area of the red rectangle.

∴ The sum of the probabilities in a uniform probability distribution is 1.

Hence, option C is the right choice.

Learn more about uniform probability distribution at

https://brainly.com/question/20411994

#SPJ2

Use the diagram to answer the question. Triangle D E F. Segments E F and D F measure 11 units. Angle F is a right angle. © 2019 StrongMind. Created using GeoGebra. What is the measure of ∠E?

Answers

Answer:

m<E = 45

Step-by-step explanation:

We are given a right angled triangle DEF, with 2 sides of equal length 11 units. We are required to find <E.

To know which trigonometric ratio formula to apply, note the following:

Opposite side = adjacent side = 11 units.

Therefore, we use the following to find <E:

[tex] tan E = \frac{opposite}{adjacent} = \frac{11}{11} [/tex]

[tex] tan E = 1 [/tex]

[tex]E = tan^{-1}(1)[/tex]

[tex] E = 45 [/tex]

Complete this item. Identify angle1 and angle2. Select all that apply off the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplementary.

Answers

Answer:

Angles 1 and 2 are both obtuse and adjacent.

Step-by-step explanation:

We can go about this systematically.

Acute: They are not acute. Looking at the angles, we can assume that they are greater than 90°.

Right: Greater than 90°, not equal, so not right.

Obtuse: Greater than 90°, so it's obtuse.

Adjacent: The angles are next to each other, so they are adjacent.

Vertical: They share a vertex, but they are not opposite to each other.

Complementary: They do not form a right angle together.

Supplementary: They do not form a straight angle together.

---

I hope this helps, let me know if you have any questions.

Correct Answers:

right

vertical

supplementary

I finished the quiz, it's correct. They're both 90 degree [right] angles, they're across from each other and therefore they're vertical, and they both add up to 180 degrees total, which means that they're supplementary.

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Answers

Answer:

15.62 = x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10 ^2 + 12^2 = x^2

100 +144 = x^2

244 = x^2

Take the square root of each side

sqrt(244) = sqrt(x^2)

15.62049935 = x

Rounding to the nearest hundredth

15.62 = x

Answer:

15.62

Step-by-step explanation:

We can use the Pythagorean Theorem.

10^2+12^2=c^2

100+144=c^2

244=c^2

15.62=c, or x=15.62

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Long Division of x^3-3x^2-10x+24 x-2 Read and choose the option that correctly answers the question. Hola! Me llamo Carmina y vivo en Caguas, Puerto Rico. Mi padre escuchaba la msica salsa del cantante Marc Anthony. Frecuentemente, en las fiestas de mi familia cantaban en armona las canciones de Marc Anthony. A mi madre le gustaba bailar mientras yo tocaba las congas al ritmo de la msica de Marc Anthony. Based on the text, what did Carminas parents have in common? Love of a popular singer Love of going to concerts Love of local food Love of traditional instruments On July 1 Olive Co. paid $7,500 cash for management services to be performed over a two-year period. Olive follows a policy of recording all prepaid expenses to asset accounts at the time of cash payment. On July 1 Olive should record: Plz help!i Cant answer it Study the map.Which plate forms a boundary with the African Plate?PacificSouth AmericanAustralianPhilippine A homeowner measured the voltage supplied to his home on 41 random days, and the average (mean) value is volts. 128.5 Choose the correct answer below. A. The given value is a for the because the data collected represent a . statistic year population B. The given value is a for the because the data collected represent a . statistic year sample C. The given value is a for the because the data collected represent a . parameter year sample D. The given value is a for the because the data collected represent a . Given: Circle k (O), OA and OC -radii, AP and CP - tangents, mAOC=150 Find: mAPC In a sentence, what is parallel structure? the repetition of consonant sounds at the beginning of words the use of the same sentence structure in every sentence in a paragraph the use of consistent patterns that keep the elements in a series in the same form the use of two or more independent clauses joined by a comma and a conjunction find the value of a and explain What is the simplified form of 5x-9x If you are asked to modify the robots or drones that are currently used , what kind of modifications you would do and suggest any two fields where it can be used. Domestication produced more food per unit area of land than had hunting and gathering, meaning Group of answer choices more storage was necessary for the extra food provided by domestication. fewer people were available for labor. more people were needed to produce more food. more people could be fed from the same amount of land. Through what basic mechanism is 2-methylcyclohexanol converted to 1-bromo-1-methylcyclohexane when treated with HBr 10.What effect does temperature have on molecular motion? Using this explanation, explain why both pressure and volume can decrease with decreasing temperature. Deciduous forests can only be found in North America. Assume that ExxonMobil uses a standard cost system for each of its refineries. For the Houston refinery, the monthly fixed overhead budget is $8,000,000 for a planned outputs of 5,000,000 barrels. For September, the actual fixed cost was $8,750,000 for 5,100,000 barrels.Required a. Determine the fixed overhead budget variance. b. If fixed overhead is applied on a per-barrel basis, determine the volume variance. c. Provide formulas and an explanation. from least to greatest -9, 12/20, 1/5 If events A and B are independent, what must be true?P(A|B) =P(B)P(A|B) =P(A)P(A) =P(B)P(A|B) =P(B|A) Em uma prova de conhecimentos gerais, Fernando errou 3/8 do total de 72 questes. Quantas so as questes que Fernando ACERTOU? Make a 3-by-3 logic grid on your own paper. Use it to help you solve the logicpuzzle and answer the question given below.Tina, Jewel, and Amy have three different pets (dog, goldfish, and ferret). Tina is allergic to dogs. Jewel does not have the ferret. The dog belongs to Amy.Who owns the ferret?