If you solve this, you are a critical thinker:
Mr. Smith had 4 daughters. Each daughter had 4 brothers. How many kids does Mr. Smith have?​

Answers

Answer 1
General Formulas and ConceptsLogicCritical ThinkingAnalyzation

ApplicationStep 1: Define

Let's organize what the problem gives us:

Mr. Smith had 4 daughters.Each daughter had 4 brothers.We want to find how many kids Mr. Smith has.

Step 2: Work

We can already tell that the initial amount of kids Mr. Smith has before we factor in the brother count is equal to 4, for the 4 daughters that were stated as a given in the problem.

Now, the tricky part comes in the form of "each daughter had 4 brothers." Remember that within a family, everyone has the same siblings. It doesn't matter which family member's perspective you are looking from, but your siblings will always stay the same. We can show this with an example:

Suppose I had a family of 4 kids total. I had 2 daughters and 2 sons. Their names were Rose, Sakura, David, and Andrew. Rose would then have 3 siblings: Sakura, David, and Andrew. Sakura would also have 3 siblings: Rose, David, and Andrew, so on and so forth.

Applying this example and knowledge to our current problem, if Mr. Smith's daughters each had 4 brothers, then the total number of kids Mr. Smith has is 8 total kids (4 daughters + 4 sons) since each daughter's brother would be the same sibling.

This would be called double-counting if you counted that each daughter would have 4 different siblings, resulting in a false answer of 16 kids (4 daughters multiplied by 4 brothers for each daughter).

Answer

∴ Mr. Smith has 8 kids.

___

Topic: Math

Unit: ?


Related Questions

Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ounces of fruit punch per person and 2 ounces of cheese per person. Including herself, there are 12 people in the club. A package of cheese contains 16 ounces and costs $3.99. A one-gallon jug of fruit punch contains 128 ounces and costs $2.50. Let represent number of people in the club, represent the ounces of fruit punch, represent the ounces of cheese, and represent Priya's budget in dollars. Select all of the equations that could represent the quantities and constraints in this situation.

Answers

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

how to find what is force if pressure and are is given please answer I will mark brainiest

Answers

Answer: Pressure and force are related, and so you can calculate one if you know the other by using the physics equation,

P = F/A. Because pressure is force divided by area,

its meter-kilogram-second (MKS) units are newtons per square meter,

or N/m2.

what is the area of the circle ​

Answers

Answer:

A = 51.84π

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex]

r = 7.2

A = 51.84π

a wedding ring costs £13000. Work out the price after a 11% increase

Answers

when £13000 is increased by 11% the new value becomes to £14430

Answer:

14430 pounds

Step-by-step explanation:

Given that:

cost of ring: 13000

percentage increase: 11%

So, to find the new cost, we have to find the increase cost, in pounds:

11 / 100 times 13000 = 1430 pounds.

NOW to calculate the new cost, we add the increase cost to the original:

13000 + 1430 = 14430

Please mark brainiest

Which integers satisfy the inequality 2 < x ≤ 6 ?
Please help if you are in year 8 and know math!

Answers

Answer:

3, 4, 5, 6

Step-by-step explanation:

Given the inequality

2 < x ≤ 6

This says that 2 is less than x , so x ≠ 2 ( left part )

x is less than or equal to 6 means x can equal 6 ( right part )

Integer values that satisfy the inequality are

x = 3, 4, 5, 6

What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm

Answers

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

Horses varied directly as goats and inversely as pigs squared. When the barnyard contained 5 horses there were 4 pigs and only 2 goats. How many goats went with 6 pigs and 10 horses?

Answers

Answer:

I believe the answer is four there is twice as many horses so you would double the amount of original goats.

The number of goats that went with 6 pigs and 10 horses is; 4 goats.

Let the number of horses be h.

Let the number of pigs be p

Let the number of goats be g.

We are told that horses vary directly as goats.

Thus;

h ∝ g

Thus; h = k1g - --(eq 1)

Also, we are told that horses varies inversely as pigs squared.

Thus;

h ∝ 1/p²

h = k2/ - - - (eq 2)

Where k1 and k2 are constant of proportionality.

When there are 5 horses there are 2 goats. Thus;

5 = 2k1

k1 = 5/2

k1 = 2.5

When there are 10 horses, we will have;

10 = 2.5g

g = 10/2.5

g = 4

Read more at;https://brainly.com/question/6843518

YEAR 9 MATHS
PLEASE ANSWER ALL THREE QUESTIONS FOR BRAINLIEST
write all the coordinates down to make the shape please

Answers

Small triangle : (1,4), (3,1), (3,4)
The x: (3,2)
The big triangle: (-3,3), (-1,5), (-2,1)

(For the big triangle that is only correct if the black dot is the mirror line)

What is X...……………………….

Answers

Answer:

x=6

Step-by-step explanation:

You can reach this answer by doing the equation

4+(x-3) = 2x-5

doing the math you will get that 6 is your x.

Hope this helps :)

oPr
on (x - 2)(x + 5) = 0?

Answers

________________________________

Hey!!

Solution,

(x-2)(X+5)=0

Either,

x-2=0

X=0+2

X=2

or,

X+5=0

X=0-5

X=-5

Hope it helps

Good luck on your assignment

____________________________

A student takes his 2 dogs for a walk. He lets them off their leash in a field where Edison runs at 10 m/s and Einstein runs at 8 m/s. The student determines the angle between the dogs is 25°, how far are the dogs from each other in 5 seconds?

Answers

Answer:

The dogs are 21. 8 m from each other in 5 seconds

Step-by-step explanation:

Given;

speed of Edison, v = 10 m/s

speed of Einstein, u = 8 m/s

angle between the two dogs, θ = 25°

let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m

let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m

let the distance between the two dogs after 5 seconds = z

x , y and z forms a triangle with an angle between x and y as θ

The third side, z, can be calculated using cosine rule

z² = x² + y² - 2xyCosθ

z² = 50² + 40² - (2 x 50 x 40)Cos25

z² = 4100 - 4000Cos25

z² = 474.7689

z = √474.7689

z = 21.789 m ≅ 21. 8 m

Therefore, the dogs are 21. 8 m from each other in 5 seconds

I need help please it’sGeometry

Answers

Answer:

Congruent triangles have the same perimeter so the answer is 13.

what is the slope-intercept equation of the line below?​

Answers

Answer:

4

Step-by-step example

Slop is the

A city has a population of 2.8 million people. 45% of the population are male.
How many females live in the city?

Answers

Answer:

1.54 million

Step-by-step explanation:

If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!

Answer:

the answer for this question is 1.54×10^6

Step-by-step explanation:

45%- Male

100%-45%=55%

55/100×(2.8×10^6)=1540000

=1.54×10^6

The table provides on road accidents reported to the police for the days in December

Accidents reported Frequency
0-5 9
6-10 10
11-15 6
16-20 6


Estimate the mean.
Give your answer rounded to 1 DP.

Answers

Answer:

[tex]Mean = 9.3[/tex]

Step-by-step explanation:

Given

Let accidents reported be represented by x and the frequency be represented by f

x -----   f

0-5 --   9

6-10 --  10

11-15 --   6

16-20 -- 6

Required

Calculate the Mean;

To calculate the mean of a grouped data, the first step is to calculate the midpoint of the observation;

When x = 0 - 5

Midpoint = 0.5(0 + 5) = 0.5 * 5 = 2.5

When x = 6 - 10

Midpoint = 0.5(6 + 10) = 0.5 * 16 = 8

When x = 11 - 15

Midpoint = 0.5(11 + 15) = 0.5 * 26 = 13

When x = 16 - 20

Midpoint = 0.5(16 + 20) = 0.5 * 36 = 18.

So, the new table is as follows;

x ------- f

2.5 ----  9

8 -----  10

13 ------ 6

18 ------ 6

Mean is calculated by ∑fx/∑f

Where ∑fx represent sum of the product of f and x

∑f represent sum of frequency

∑fx = 2.5 * 9 + 8 * 10 + 13 * 6 + 18 * 6

∑fx = 288.5

∑f = 9 + 10 + 6 + 6

∑f = 31

So,

[tex]Mean =\frac{288.5}{31}[/tex]

[tex]Mean = 9.3064516129[/tex]

[tex]Mean = 9.3 (Approximated)[/tex]

Hence, the mean of road accidents in December is 9.3

Find the range of values for which

Answers

Answer:

I don't understand the question

37 POINTS pls help time limit 13 minute left...

Answers

Answer:

first 3

Step-by-step explanation:

Answer:

A B C and D are all true not the last one!

Step-by-step explanation:

Please help! Correct answer only please! I need to finish this assignment by today.

Out of the people who have already taken their seats at a seminar, 3 people have blond hair while 6 people do not. What is the experimental probability that the next person to take a seat will have blond hair?

Simplify your answer and write it as a fraction or whole number.

P(blond) =

Answers

Answer:

1/3

Step-by-step explanation:

there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)

The experimental probability that the next person to take a seat will have blond hair is 1/3.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.

So, the experimental probability that the next person to take a seat will have blond hair is:

P(blond) = 3/(3+6) = 3/9 = 1/3.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Please HELP. ALSO WHY. 2 question. pLZZ

Answers

Answer:

1). Number of kids on the other side = 16

2). Brian took the time to each piece of pie = 20 seconds

Step-by-step explanation:

1). Let the number of kids on one side = x

  Then the number of kids on other side = 2x

  3 adults helped the side having number of kids = x, then the number of people on this side = x + 3

Since the total number of people on this side = 11

Then the equation will be,

x + 3 = 11

x = 11 - 3

x = 8

Then number of kids on the other side = 2x = 2×8

                                                                           = 16

2). By unitary method,

∵ Brian took the time to eat 6 pieces of the pie = 2 minutes

∴ Brian will take time to eat 1 piece of pie = [tex]\frac{2}{6}[/tex] minutes

                                                                     = [tex]\frac{2}{6}\times 60[/tex] seconds

                                                                     = 20 seconds

simplify the equation

Answers

Answer:

3a

Step-by-step explanation:

9/3 = 3

[tex]a^{3}/a^{2} = a^{3 -2} = a[/tex]

b / b = 1

3 x a x 1 = 3a

Answer:

3a

Step-by-step explanation:

First, cancel the 3 at the bottom by getting rid of it and changing the 9 to a 3. You can do this because 3 is one third of 9.

With the division property of exponents, you have to subtract 3-2 and you can leave a to the power of 1 on the numerator.

Then, cancel the b's out by getting rid of them.

You will be left with 3a.

Picture attachment is below

Answers

Answer:

0.04

Step-by-step explanation:

Answer:0.04

Step-by-step explanation:4/100

I’m kinda stuck on this, could anyone explain it ?

Answers

The slope of the given line is -3/4.

Any line perpendicular to this one will have slope -1/(-3/4) = 4/3.

Use the given point and the point-slope formula to get the equation of the particular line:

y - (-1) = 4/3 * (x - 0)

y + 1 = 4x/3

y = 4x/3 - 1

Points (-1,2), (-4,7), (-3,1), (-2,4) lie in ______ quadrant

Answers

Answer:

2 quadrant

Step-by-step explanation:

i think

Answer:

Quadrant 2...

Jim, Dan and David share some sweets in the ratio 3:1:5. Jim gets 21 sweets. How many more sweets does David get over Dan?

Answers

Answer:

David gets 28 more than Dan

Step-by-step explanation:

Jim: Dan : David: total

3   :    1    :  5       : 3+1+5 = 9

Jim gets 21

21/3 = 7

Multiply each number by 7

Jim: Dan : David: total

3*7 :  1*7  :  5 *7  :  9*7

21  :   7     :  35   :  63

David has 35 and Dan has 7

35-7 = 28

David gets 28 more than Dan


Can someone help me with this geometry question I don’t understand it

Answers

when answering questions like these, it helps to draw arrows,, the variable will always be on top, so in this situation you would draw an arrow from the a to the 10 and an arrow from the 38 to the 12 making them both fractions, you would then cross multiply, after cross multiplying you would get 12a=380 then you would divide by 12 equaling 31.6

Please I need a answer for 5,6,7, and 8 !!! Please ill mark you as brainliest

Answers

Answer:

5. 48

6. 33

7. -16

8. -7

Step-by-step explanation:

[tex]5. \\8(10-4)=\\80-32=\\48[/tex]

[tex]6.\\(-4+-7)(-3)=\\(-4-7)(-3)=\\(-11)(-3)=\\33[/tex]

[tex]7.\\(-7+3)4=\\-4*4=\\-16[/tex]

[tex]8.\\-1(18-11)=\\-1(7)=\\-7[/tex]

the lines shown below parallel. if the green line has a slope of -1, what is the slope of the red line

Answers

Answer:

-1

Step-by-step explanation:

Parallel lines have the same slope

If the green line has a slope of -1, the red line has a slope of -1

Help me, please with question A and B I have not been taught this topic yet

Answers

Answer:

The triangle's area is 12 square units.

Step-by-step explanation:

We start by drawing the requested points A = (-4, -3) and B = (0, -3), which we notice are located horizontally on the line of y = -3 and separated 4 units from each other (see red dots in the attached image).

Then we look for a point over the line y = 3 that is equidistant from points A and B (so we place it at the point (-2, 3)) and name it "C".

Now, the triangle ABC defined by the three points has base = 4 units, and height = 6 units (from the line y = -3 to the line y = 3).

Then recall that the area of a triangle is defined by the product of the triangle's base times its height, divided by two:

[tex]Area=\frac{base\,*\,height}{2} \\Area=\frac{4\,*\,6}{2} \\Area = 12[/tex]

So the triangle's area is 12 square units.

What is the probability of Sunday following Saturday this week?

Answers

Answer:

certain

Step-by-step explanation:

the probability called certain means that is will occur or it's probability is 1

Answer:

Certain or 1/1 - 2/2 - 3/3 - 4/4 ect.

Step-by-step explanation:

Unless the world ends on Saturday (which is looking more and more certain as the year goes on) Sunday will follow after it the next day.

anybody please help me :( I’m so bad with graphing

Answers

Answer:

the correct answer is D

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