Three friends have a total of 6 identical pencils, and each one has at least one pencil. In how many ways can this happen?

Answers

Answer 1

Answer:

9 possible scenarios

Step-by-step explanation:

Friend 1: Friend 2: Friend 3:

1 pencil 2 pencils 3 pencils

1 3 2

2 1 3

2 3 1

3 2 1

3 1 2

4 1 1

1 4 1

1 1 4


Related Questions

The functions f(x) and g(x) are shown on the graph.
Rx) = x²
What is g(x)?

Answers

It’s a flip of the graph on the x-axis

Therefore f(x) = - x^2 (NOT IN PARENTHESIS that would be a reflection on the y axis)

It’s a shift 4 y values down therefore

g(x) = - x^2 - 4

There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have A.one solotion B.no solotion C.infinitely many solotions

Answers

it will have A. One solution

Answer:

Step-by-step explanation:

let  the smallest number=x

largest number=y

y=2x

again x-1/2 y=20

or 2x-y=40

2x-2x=40

or 0=40

which is impossible.

∴ it has no solution.

On two investments totaling $13,500, Peter lost 3% on one and earned 5 % on the other. If his net annual receipts were $319, how much was each investment?

Answers

x = amount of 3% loss investment
y = amount of 5% gain investment

x + y = 13,500 {the two investments total $13,500}
-0.03x + 0.05y = 319 {3% loss on one and 5% gain on other, receipt is $319}

x = -y + 13,500 {subtracted y from each side of first equation}

-0.03(-y + 13,500) + 0.05y = 319 {substituted (-y + 13,500), in for x, into second equation}
0.03y - 405 + 0.05 = 319 {used distributive property}
0.08y - 405 = 319 {combined like terms}
0.08y = 724 {added 405 to each side}
y = 9050 {divided by 0.08}

x = -y + 13,500 {from equation above}
x = -9050 + 13,500 {substituted 9050 in for y}
x = 4450 {added}

The 3% loss investment was $4450
The 5% gain investment was $9050

give your answer as a mixed number
4 3/7 - 2 5/7
get brainliest urgent plz help

Answers

Answer:

[tex]1\frac{5}{7}[/tex]

Step-by-step explanation:

[tex]4\frac{3}{7} -2\frac{5}{7}[/tex]

Step 1. Simplify left side 4*7+3 , Right Side 2*7+5

[tex]=\frac{31}{7} -\frac{19}{7} = \frac{12}{7}[/tex]

Step 2. Re-write 12/7 as mixed number

[tex]\frac{12}{7} = 1\frac{5}{7}[/tex]

HELP NEEDED PLS HELP! THANK YOU Use the fundamental theorem of algebra to state all the possible roots of the function f(x)=2x^3+3x^2-4x-12 Can someone please show me how to do it

Answers

Answer:

x=2   (−∞,∞)

Step-by-step explanation:

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y  with  0  and solve for  x

Hope this helps (sorry if it's confusing)

Answer:

x = 1.71282

Step-by-step explanation:

2x^3+3x^2-4x-12

2 x³ + 3 x² - 4x - 12 = 0

x = 1.71282

see attachment.

Help pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

The answer is 3 mark as brainliest

Step-by-step explanation:

3 *3-4*4+2*5

9-16+10

9-6=

3

Answer:

Hey there!

3a-4b+2c

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

9-16+10

3

Your answer would be 3.

Hope this helps :)

Find the Surface Area

Answers

Answer:

120 km squared.

Step-by-step explanation:

The shape shown has 5 sides: three rectangles and 2 triangles.

If you examine each triangle closely, they are 3-4-5 triangles. The area of one triangle is 3 * 4 * 1/2 = 12 * 1/2 = 12 / 2 = 6. Since there are two triangles, the total area of the triangles is 6 * 2 = 12 km squared.

The three rectangles have the same length, but their widths differ. They all have a side length of 9 km, but the largest rectangle has a width of 5 km, the medium has a width of 4 km, and the smallest has a width of 3 km.

So, the rectangles' areas added up will be (9 * 5) + (9 * 4) + (9 * 3) = 45 + 36 + 27 = 108 km squared.

And so, the total surface area is 12 km squared + 108 km squared, or 120 km squared.

Hope this helps!

can someone help me i cant understand with work

Answers

Answer:

Right now it would be

[tex]-40[/tex]

Since desend means down add -20 to -40

[tex]-40+(-20)=-60[/tex]

         or

[tex]-40-20=-60[/tex]

Then is goes up 35, which is positive

[tex]-60+35=-25[/tex]

Therefore, the answer is -25

Hope this helps

Answer by

Fishylikeswater

Answer:

A. -25M

Step-by-step explanation:

The submarine starts at -40M underwater which then it descends ( goes down ) another -20M which added means it is now -60M underwater. It then rises 35M so you would then add -60M + 35M = -25M

Hope this helps :)

In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?
O a = 3
O a = 8
O a = 18
O a = 33

Answers

i believe it’s 18 because +5so, m= 13 + 5 = 18

The table to represent a linear function with a rate of change of +5

So, m = 13 + 5 = 18

a = 18

What is linear function?

The slope-intercept pattern of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept.

The graph in the table shows a linear function.

The linear function's general equation is written as y = ax+b, where a is the slope and b is a constant.

Finding the linear function's equation by using the first and third points from the table

at x = 3  ⇒ y = 13   and   at x = 5 ⇒ y = 23

13 = 3a+b → (1)

23 = 5a+b → (2)

solve (1) and (2) to find a and b

So,  a = 5  and b = -2

∴ y = 5x - 2

After that by substitution with x = 4 int the equation of y

∴ y = 5*4-2 = 18

m= 18

Thus, option C is correct.

For more information about linear function, click here:

https://brainly.com/question/20286983

#SPJ7

Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. H represents the height of the tree (in centimeters), t years since Renata moved in. H =210 + 33t How fast does the tree grow?

Answers

Answer:

The tree grows 33cm per year.

Step-by-step explanation:

solve for x 3x+3+=12 1. 6 2. 5 3. 4 4. 3

Answers

Answer:

4.(3)

Step-by-step explanation:

3x+3 = 12

Subtract 3 to both sides.

3x = 9

Divide the left side by 3, then divide the right side by 3

x = 3

Answer:

Hi! your answer should be D. 3

Step-by-step explanation:

1. 3x+3=12

-3 -3

2. 3x=9

÷3 ÷3

3. x= 3

[So, your answer should be D. x=3]

Hope this helps!

is this right? someone please help :)

Answers

Answer:

it should be yes. if there are no values for A and C then yes the answer is correct.

Answer:

2a + 2c = b

Step-by-step explanation:

a = 1/2 b -c

Add c to each side

a+c = 1/2 b- c+c

a+c = 1/2 b

Multiply each side by 2

2( a+c) = 2 * 1/2 b

2a + 2c = b

A recent survey found that 65% of high school students were currently enrolled in a math class,43% were currently enrolled in a science class,and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?

Answers

Answer: 0.20

Step-by-step explanation:

As per given :

P(student enrolled in a math class ) = 65% = 0.65

P( student enrolled in a science class) = 43%= 0.43

P( student enrolled in both ) = 13% = 0.13

Formula of conditional probability :

[tex]P(A|B)=\dfrac{P(A\text{ and }B)}{P(B)}[/tex]

Using the above formula,

The probability that the student is enrolled in a science class given that he is enrolled in maths class :

[tex]P(\text{science}|\text{math})=\dfrac{P(\text{science and maths})}{P(\text{math})}\\\\=\dfrac{0.13}{0.65}\\\\=\dfrac{13}{65}\\\\=\dfrac{1}{5}=0.20[/tex]

Hence, the probability that the student is also enrolled in a science class =  0.20 .

A rectangular garden that measures 6 feet by 8 feet is roped off to form a
right triangle. What is the length of the rope?
Rope
6 ft

Answers

Answer:

10feet

Step-by-step explanation:

We solve this question, using Pythagoras Theorem to solve for the other side.

Pythagoras Theorem states that

c² = a² + b²

c = √(a² + b²)

In the question, a = 6 feet

b = 8 feet

c = length of the rope

c = √6² + 8²

c = √36 + 64

c = √100

c = 10 feet

The length of the rope is 10 feet

D
AABC = ADBC, AB = 10, mZA = 44°
mZD = [? ]

Answers

Answer:

∠ D = 44°

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent, thus

∠ D = ∠ A = 44°

Please may someone answer it,
WORTH 81 POINTS!!!

Answers

Answer:

[tex]\boxed{V = 1436.8 cm^3}[/tex]

Step-by-step explanation:

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 7 cm

Volume of Sphere = [tex]\frac{4}{3} (3.14)(7)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(343)[/tex]

V = 4310/3

V = 1436.8 cm³

Answer:

1436.8 cm^3

Solution,

Radius= 7 cm

Volume of sphere:

[tex] \frac{4}{3} \pi \: {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {7}^{3} \\ = \frac{4}{3} \times 3.14 \times 343 \\ = 1436.8 \: {cm}^{3} [/tex]

Hope this helps...

Good luck on your assignment...

An office remodeling job takes 5 & 1/2 days to complete. Before working
on the job the builder estimated the job would take 4 & 3/4 days. What
percent of the estimated time is the actual time? ( Round your answer to
the nearest whole percent.)

Answers

Answer: The percent of the estimated time is the actual time is about 14%.

Step-by-step explanation:

As per given,

Actual time of completing the job = [tex]5\dfrac{1}{2}\text{ days}=\dfrac{11}{2}\text{ days}[/tex]

Estimated time for completing the job = [tex]4\dfrac{3}{4}\ \text{days}=\dfrac{19}{4}\ \text{days}[/tex]

The percentage error is given by:-

[tex]\%\text{ error}= \dfrac{|\text{Estimated-Actual}|}{\text{Actual}}\times100[/tex]

[tex]=\dfrac{|\dfrac{19}{4}-\dfrac{11}{2}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{|\dfrac{19-22}{4}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{|\dfrac{-3}{4}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{\dfrac{3}{4}}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{3\times2}{11\times4}\times100\\\\\approx14\%[/tex]

The percent of the estimated time is the actual time is about 14%.

Write the algebraic expression for each word problem. See if you can spot the trick problem that doesn’t need algebra!

Answers

Answer:

6) -7 + 10 = 3 (3 more; total number doesn't matter)

7) 50w + 20

8) c / 5

9) 5 + 2t

10) 4d  + 2d

I didn't see the trick problem!

Classify the following triangle. Check all that apply.
60
604
60°
A. Scalene
B. Right
O C. Acute
O D. Isosceles
E. Obtuse
F. Equilateral

Answers

Answer:

C. Acute

F. Equilateral

Step-by-step explanation:

Since all angles in the triangle are 60° (and less than 90°), it makes it an acute triangle.

Since all sides and angles are congruent to each other, respectively, we know that the triangle is equilateral.

Answer:

the actual answer is acute,equilateral,isosceles

Jacob is painting the walls of his new tiny house. If 3⁄4 of a can of paint is enough to paint 1 / 8of the walls, how much paint does Jacob need to paint all of the walls?

Answers

Answer:

6 cans

Step-by-step explanation:

I used Improper Fractions to solve this question.

3/4 is enough to paint 1/8

Therefore we can multiply 3 by 8 to calculate how much paint is required for the whole wall.

3 * 8 = 24

24/4 = 6

Please solve okay ty ty

Answers

Answer:

The answer is A.

Step-by-step explanation:

Ok, first let see with each point makes the inequality true. Remember that a point is made up of x and y in the form of (x , y).

Let's see if A suits this inequality. Replace the x in the inequality with 5 and the y with 1. The inequality should look like this: 5(1) - 8(5) [tex]\leq[/tex] 10. 5 times 1 is 5 and 8 times 5 is 40. 5 - 40 is -35. -35 is less than 10 so this true. So A is a solution.

NOTE THAT THE SIGN "[tex]\leq[/tex]" MEANS GREATER THAN OR LESS THAN SO YOU ONLY NEED TO MEET ONE CONDITION.

Let's see if B suits this inequality. Replace the x in the inequality with -3 and the y with 2. The inequality should look like this: 5(2) - 8(-3) [tex]\leq[/tex] 10. 5 times 2 is equal to 10 and -8 times -3 is equal to 24. Now the quation is this: 10 + 24 [tex]\leq[/tex] 10. 10 plus 24 is 34 and 34 IS NOT EQUAL OR LESS THAN 10. So B is not a solution.

Let's see if C suits this inequality. Replace the x in the inequality with 0 and the y with 4. The inequality should look like this: 5(4) - 8(0) [tex]\leq[/tex] 10. 5 times 4 is 20 and -8 times 0 is 0. 20 + 0 is 20 and 20 IS NOT LESS THAN OR EQUAL TO 10. So C is not a solution.

-1, -5

Let's see if D suits this inequality. Replace the x in the inequality with -1 and the y with -5. The inequality should look like this: 5(-5) - 8(-1) [tex]\leq[/tex] 10. 5 times -5 is -25 and -8 times -1 is 8. -25 plus 8 is -17 and -17 IS NOT LESS THAN OR EQUAL TO 10. So D is not a solution.

HOPE THAT HELPED!

Answer:

the answer is A

hope it helps

Help Please. It's maths, for HegartyMaths.

Answers

If y is inversely proportional to 1/roots then:

Y= k/root x

Find the value of the constant k

When y=7 and x=64

7=k/8
k= 56 (7x8)

When y=8

8=k/root x

Root x = k/8 since we know k = 56

Root x= 56/8

Square both sides

x=49

A hobbyist is making a toy sailboat. For the triangular sail, she wants the height h (in inches)
to be twice the length of the base b (in inches). Can the area of the sail be 10 inº?

Answers

Answer:

xx

Step-by-step explanation:

plz help me do this i will help u if i know

Answers

Answer:

77

Step-by-step explanation:

2+3+5+7+11+13+17+19=77

explain the words and the connections of population ,area, urban,and density

Answers

Answer:

Step-by-step explanation:

In this sense "area" refers to a geographical area in which people may or may not live; any "population" refers to the group of people living in a specific area.  We might discuss the "population" of the "Los Angeles area," which refers to people living within the geographic boundaries of the City of Los Angeles.

"Urban" characterizes a given area where the land is thickly settled with human residents (as opposed to open, commercial or rural land).  Most of the area within the boundaries of "Los Angeles" are "urban."

"Density" refers to "population density," defined as the number of people per square mile (or other measure of area); as an example we might refer to the population density of the City of Los Angeles, and that reasure might be in the area of "246,000 residents per square mile."

Answer:

Search the words up on google and it will explain better then me

Step-by-step explanation:

Need help finding the missing length to the attached triangle.

Answers

Answer:

65 units

Step-by-step explanation:

Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.

Now by geometric mean property:

[tex]h = \sqrt{144 \times 25} \\ h = 12 \times 5 \\ h = 60 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {25}^{2} \\ {x}^{2} = {60}^{2} + {25}^{2} \\ {x}^{2} = 3600 + 625 \\ {x}^{2} = 4225 \\ x = \sqrt{4225} \\ \huge \red{ \boxed{x = 65\: units }}[/tex]

During the recent recession, Bob's home value dropped to only $175,000. Since then the economy has turned around and the market is improving at a rate of 4.5% annually. At this rate, how much will Bob's home be worth 12 years after the market started improving? And what equation did you use?

Answers

Answer:

Bob's home will worth $296,779.25 after 12 years.

Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]

Step-by-step explanation:

Current value of Bob's house =[tex]FV = $175,000( 1 + 4.5/100)^12\\FV = $175,000( (100+ 4.5)/100)^12\\FV = $175,000( (104.5)/100)^12\\FV = $296,779.25[/tex]

market is improving at 4.5% annually.

This, means that the value of house gets appreciated by 4.5% each year from its previous year value.

This is a problem of compound interest formula

[tex]FV = PV(1+r/100)^n[/tex]

where PV is the present value of any thing

FV is the future value

r is the annual rate of interest

t is the time in number of year for which rate is applicable.

_____________________________________

Given

PV = $175,000.

r = 4.5%

t = 12 years

Value after 12 year will be given by

[tex]FV = $175,000( 1 + 4.5/100)^(12)\\FV = $175,000( (100+ 4.5)/100)^(12)\\FV = $175,000( (104.5)/100)^(12)\\FV = $296,779.25[/tex]

Thus, Bob's home will worth $296,779.25 after 12 years.

Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]

Find the common difference for the sequence shown.
56, 49, 42, 35, ...
0-12
0-7
07

Answers

To find the common difference, subtract all the numbers in order.

56 - 49 = 7

49 - 42 = 7

42 - 35 = 7

Therefore, common difference is 7.

Best of Luck!

Answer:

The answer is -7

(got this answer right on the lesson)

Step-by-step explanation:

HELP. Analyze the diagram below and complete the instructions that follow. Find the exact value of tan 0.

Answers

Answer:

Using SohCahToa we know it will be opposite over adjacent, opposite being the side across from theta and adjacent being the side next to theta, Using Toa we know it will be opposite over adjacent so the answer will be 6/2sqrt5

If they wants you to simplify more than you cant have a sqrt on the bottom so to fix this you will multiply the top and bottom by sqrt5 leaving you with 6sqrt5/ 2*5 or 6sqrt5/15

hope this helped

Answer:

C. 3^5/5

Step-by-step explanation:

plzzzzz answer this question about density mass and volume!!!!!!!!!

Answers

Answer:

13.896 kg

Step-by-step explanation:

You can find the mass of the bar by first finding the volume.

V = BH

where B = area of the base (the trapezium), and

H = height (distance trapezium between bases)

The area of a trapezium is

A = (b1 + b2)h/2

where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and

h = the altitude of the trapezium (distance between the bases of the trapezium)

V = (b1 + b2)h/2 * H

V = (12 cm + 6 cm)(5 cm)/2 * 16 cm

V = 720 cm^3

The volume of the bar is 720 cm^3.

Now we use the density and the volume to find the mass.

density = mass/volume

mass = density * volume

mass = 19.3 g/cm^3 * 720 cm^3

mass = 13,896 g

Now we convert grams into kilograms.

1 kg = 1000 g

mass = 13,896 g * (1 kg)/(1000 g)

mass = 13.896 kg

Answer: 1.3896 kg

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