Bred has to paint a wall with 8 horizontal stripes. He has enough paint only for 5 blue, 5 red and 5 white stripes. If he can use at most 2 colors, how many different ways he can paint the wall.

Answers

Answer 1
Final answer:

Bred has a total of 771 ways to paint the wall, taking into account that he can use at most two colors for the stripes or just one.

Explanation:

The subject matter pertains to the field of combinatorics, a branch of mathematics dealing with combinations and permutations. The task requires finding the number of ways to paint 8 stripes on a wall using up to 2 colors from a selection of 3 colors, namely: blue, red, and white. Since we have more paint than stripes, the limiting factor in this problem is the number of stripes, not the quantity of paint.

As Bred can use at most two colors for the stripes, the combinations we can have with two colors are: blue and red, blue and white, red and white. In each of these combinations, there are 2^8 (or 256) ways to paint 8 stripes (exploration of all binary possibilities). So, for three combinations, it will be 3*256 = 768 ways.

Now, let's look at the single color options. He can also paint the stripes all in one color, but since he has only three colors, he has three ways for this.

Hence, in total, Bred has 768 (from two-color combinations) + 3 (from single color option) = 771 ways to paint a wall.

Learn more about Combinations here:

https://brainly.com/question/39347572

#SPJ3


Related Questions

Mary has rehearsed her ballet solo for five and a half hours. A week from now, she wants to have rehearsed at least a total of nineteen and a half hours. If she rehearses for the same amount of time each day for the next 7 days, at least how many hours must she rehearse per day?

Answers

Answer:

2 hours per day

Step-by-step explanation:

19.5 - 5.5 = 14

14 / 7 = 2 hours per day

Mary needs to rehearse 2 hours per day for the next 7 days to meet her total rehearsal goal.

To calculate the total rehearsal time for Mary:

She has rehearsed for 5.5 hours.

She wants to rehearse a total of 19.5 hours.

Therefore, 19.5 - 5.5 = 14 hours

She needs to rehearse an additional 14 hours in the upcoming week.

To find out how many hours Mary must rehearse per day in the next 7 days:

14 / 7 = 2 hours/day

Hodaya is drawing a map of the trials in the canyon near her house. She knows that the distance from the first creek crossing to the second creek crossing is 1.8 miles. If every 3 inches on the map represents 0.75 of a mile, how far apart will the two creek crossing be on the map, to the nearest tenth of an inch.

Answers

Answer:

It would roughly be 7 inches and 1/5 of an inch.

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)

Step-by-step explanation:

Two creek crossings are separated by distance A = 7.2 inches on the map.

What do you mean by an Equation?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

The information is ,

Let's say the equation looks like this: A

Right now, A is valued at

The two stream crossings' separation is indicated on the map as A.

And on the chart, 3 inches equals 0.75 miles, therefore the distance between the two stream crossings is 1.8 miles.

hence, 3 / 0.75 inches Equals 1 mile.

In the map, 1 mile equals 4 inches after simplifying the calculation.

The two creek crossing's distance on the map is therefore equal to 1.8 x 4.

The two stream crossings will be separated by 7.2 inches on map A.

Hence, the distance on the map is 7.2 inches.

Click here to learn more about equations.

https://brainly.com/question/19297665

#SPJ6

Which expression does the fraction 3/8 represent?

1.8/3 2.3-8 3. 3/8 4. 3*8

Answers

Answer:

Im gonna guess and say it is answer 3.

Step-by-step explanation:

What is the approximate circumference of a circle with the diameter of 6

Answers

Circumference= [tex]2\pi r[/tex]

If the diameter is 6 the radius will be 3

[tex]2\pi (3)[/tex]

Circumference= 18.85

Hey there!

The formula for circumference is πd, where d is diameter.

We are given that the diameter is 6, so the circumference is 6π.

However, we are asked for the approximate circumference, not the exact.

So, let's use 3.14 as π and simplify.

6 x 3.14 = 18.84

The approximate circumference of a circle with the diameter of 6 is 18.84.

Hope this helps!

Three years ago, Sherman was twice as old as Clive. If Clive’s present age is c, which expression represents Sherman’s present age in terms of Clive’s age?

A.
2c − 3

B.
2c + 6


C.
2(c − 3)

D.
2c + 3

Answers

The answer is D

Sherman would still be double Clive's age (2c) and he would have aged 3 years (+3)

What is the answer????

Answers

ANSWER

f(x) is an odd function.

EXPLANATION

The given function is symmetric with respect to the origin.

Hence it is an odd function.

We can also see from the graph that,

[tex]f(1) = 2[/tex]

and

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

This implies that,

[tex]f( - 1) = - f(1)[/tex]

Since

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

the function is odd.

The correct answer is A.

If 3x-6=21, what is the value of x-2?
A. 3
B. 5
c. 7
D. 11

Answers

Answer:

[tex]\large\boxed{c.\ 7}[/tex]

Step-by-step explanation:

[tex]3x-6=21\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}-\dfrac{6}{3}=\dfrac{21}{3}\\\\x-2=7[/tex]

Someone help me please

Answers

Answer:

Look at the picture

Step-by-step explanation:

[tex]\log_ab=c\iff a^c=b\\\\\text{Therefore}\\\\f(x)=b^x\to y=b^x\\\\\text{find}\ f^{-1}(x).\ \text{Exchange}\ x\ \text{and}\ y\ \text{and solve for}\ y:\\\\b^y=x\qquad\text{logarithm iwth base b of both sides}\\\\\log_bb^y=\log_b(x)\qquad\text{use}\ \log_ab^m=m\log_ab\\\\y\log_bb=\log_b(x)\qquad\text{use}\ \log_aa=1\\\\y=\log_b(x)\\\\f^{-1}(x)=\log_b(x)\to g(x)=f^{-1}(x)\\\\\text{Then:}\ f(a)=b\to g(b)=a[/tex]

m∠A=(x+45)°,
mKE =(x+20)°,
mEW=(3x)° ,
Find: mKW.

Answers

Answer:

The measure of the arc KW is [tex]160\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<A=\frac{1}{2}(arc\ KE+arc\ EW)[/tex]

substitute the values and solve for x

[tex](x+45)\°=\frac{1}{2}(x+20+3x)\°[/tex]

[tex](2x+90)\°=(4x+20)\°[/tex]

[tex]4x-2x=90\°-20\°[/tex]

[tex]2x=70\°[/tex]

[tex]x=70\°/2=35\°[/tex]

Find the measure of the arc KW

[tex]arc\ KW=(arc\ KE+arc\ EW)=(4x+20)\°[/tex]

substitute the value of x

[tex]arc\ KW=4(35\°)+20\°=160\°[/tex]

find the product: (2/3)(5/3)(21)

Answers

Answer:

Here is the following answers I got.

Step-by-step explanation:

(70/3)

23.3333

23 1/3

Jayla buys and sales

Answers

I don’t get it , where is the rest of the question

Answer:

There is no question

Step-by-step explanation:

2. The two figures are similar.

a) Write the similarity statement.
b) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
c) What is the scale factor? Explain.


Answers

Answer:

Part a) [tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]

Part b) The dilation is an enlargement, because the corresponding sides of the image are larger than the corresponding sides of the original figure.(the scale factor is greater than 1)

Part c) The scale factor is [tex]3[/tex]

Step-by-step explanation:

Part a) Write the similarity statement

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

[tex]\frac{AB}{A'B'}=\frac{BC}{B'C'} =\frac{AC}{A'C'}[/tex]

substitute the values

[tex]\frac{9}{27}=\frac{12}{36} =\frac{15}{45'}[/tex]

[tex]\frac{1}{3}=\frac{1}{3} =\frac{1}{3'}[/tex] ----> is true

therefore

the figures are similar

Part b) The dilation is an enlargement, because the corresponding sides of the image are larger than the corresponding sides of the original figure. (the scale factor is greater than 1)

Part c) we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z------> the scale factor

x-----> corresponding side of the image

y------> corresponding side of the original figure

so

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=A'B'=27\ units[/tex]

[tex]y=AB=9\ units[/tex]

substitute

[tex]z=\frac{27}{9}=3[/tex]

The scale factor is greater than 1

therefore

Is an enlargement

Answer:(A) ab/a’b’=bc/b’c’=ac/a’c’ (B) Figure a’b’c’ is an enlargement because it increase it’s sides larger than 1. (C) So we have to divide to get the scale factor for both of these figures 18/6=3 then you found the scale factor 3.

Step-by-step explanation:

I don’t know how to start it.

Answers

Answer:

36°

Step-by-step explanation:

∠A + ∠B + ∠C = 180°

∠A:∠B:∠C = 8:10:12 = 8x:10x:12x

8x + 10x + 12x = 180

                20x = 180

                    x =     9

∠A =   8x =  8 × 9 =  72°

∠B = 10x = 10 × 9 =  90°

∠C = 12x = 12 × 9 = 108°

∠C - ∠A = 108 -72 = 36 °

The difference between the largest and the smallest angle is 36°.

(EASY) WILL MARK BRAINEST! Question: Write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph
(-9,-2) y=-4x+1

Answers

Answer:

y = -4x - 38

Step-by-step explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.

[tex]y -y_1 = m(x-x_1)\\y --2 = -4(x --9)\\y + 2 = -4(x+9)\\[/tex]

Apply the distributive property to find the slope intercept form.

y + 2 = -4(x+9)

y + 2 = -4x - 36

y = -4x - 38

help please asap thanks​

Answers

Answer:B

Step-by-step explanation:Probably not A

B,C,D are probably the ones

but i think its b

The area of a circular trampoline is 112.07 square feet. What is the radius

Answers

Answer: The correct answer is B. 5.97 feet

Step-by-step explanation:

Formula⇒A=π r2

* Hopefully the work helps:) Mark me the brainliest;)!!!

Answer:

5.97 feet

Step-by-step explanation:

Set up your equation as 112.07 = Pi*r^2

To simplify, divide 112.07 by Pi or an approximation of it and then find the square root of your answer.

112.07 = Pi*r^2

112.07/Pi = r^2

(112.07/Pi)^0.5=r

Would you use more centimeters or meters to measure the length of a car? Explain.

Answers

Answer:

Meters

Step-by-step explanation:

Because centimeters are to small to be a reasonable measurement for a car so you would have to use meters

x+y=70
65x+15y=2400
solve by substitution
please show work very important thank you so much

Answers

Answer:

The solution is

x = 27 and y = 43

Step-by-step explanation:

See the image

Answer dis in a big hurry and will give brainliest!!!

Answers

2 inches.

Each square is 1/2 inch, so 4 squares is 2 inches.


Can anyone help me please?
Which expression can be used to find the area of a circle with a diameter of 30 cm?

a. π • 30

b. 2 • π • 15

c. π • 30^2

d. π • 15^2

Answers

Answer:

its b

Step-by-step explanation:

Answer:

2 × pi or (π) × 15 = 30 cm

Step-by-step explanation:

I don’t get how the answer is one..
not sure how to factor/reduce what I was able to reduce to equal 1

Did I do something wrong

Answers

Answer:

see explanation

Step-by-step explanation:

Factorise the numerators on both fractions

a² + 10a + 25 = (a + 5)(a + 5) ← perfect square

a² - 25 = (a - 5 )(a + 5) ← difference of squares

To divide, leave the first fraction, change division to multiplication and turn the second fraction upside down.

Hence

= [tex]\frac{(a+5)(a+5)}{a+5}[/tex] × [tex]\frac{a-5}{(a-5)(a+5)}[/tex]

Cancel both the (a + 5) factors on the numerator/ denominators and the (a - 5) factor on the numerator/denominator, leaving

= 1 ← as required

A line segment with endpoints (5,8) and (-6,8) is rotated around the origin 270 clockwise how long will the new segment be?

Answers

A rotation doesn't change the length of anything.

The length of the rotated line segment would be the same as the original line segment.

Because both Y values are the same, you just need to calculate the length of the X values.

5 to 0 = 5

0 to -6 = 6

Total length = 5 +6 = 11 units long.

Louis spins the spinner twice. Which probability are correct? Check all that apply

Answers

Answer:

Step-by-step explanation:

Only first one

P(both green) : [tex]\frac{1}{16}[/tex], P(both blue) : [tex]\frac{1}{4}[/tex], P(first orange and then blue) : [tex]\frac{1}{8}[/tex]

These probabilities are correct.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

According to the question

Louis spins the spinner twice.

Total number of favorable outcomes = {OB, OO, OB,OG, BB, BO, BB, BG, GG, GB, GO, GB, BB, BO, BB, BG} = 16

P(both green) :

Number of favorable outcomes = 1

P(both green) = [tex]\frac{1}{16}[/tex]

It is applicable.

P(both blue) :

Number of favorable outcomes = 4

P(both blue) = [tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]

It is applicable.

P(first green and then blue) :

Number of favorable outcomes = 1

P(first green and then blue) =  [tex]\frac{1}{16}[/tex]

P(first orange and then blue) :

Number of favorable outcomes = 2

P(first orange and then blue) =  [tex]\frac{2}{16}=\frac{1}{8}[/tex]

It is applicable.

P(first orange and then green) :

Number of favorable outcomes = 1

P(first orange and then green) =  [tex]\frac{1}{16}[/tex]

Hence,

P(both green) : [tex]\frac{1}{16}[/tex], P(both blue) : [tex]\frac{1}{4}[/tex], P(first orange and then blue) : [tex]\frac{1}{8}[/tex]

These probabilities are correct.

Find out more information about probability here

brainly.com/question/11234923

#SPJ2

What is the product?

Answers

Answer:

So option B is the correct answer .

Step-by-step explanation:

Since it is the multiplication of 1 X 3 matrix to 3 X 3 order matrix,

so the resultant product should be 1 X 3 because when we multiply two matrices it is the condition that if A is of order p X q and B is of order q X r,

the product matrix (suppose C ) will be of order p X r.

so the product will be

= [-1*3+2*2+4*0   -1*6+2*4+4*6   -1*1+2*0+4*2]

= [ 1      26     7] .

-2x+15y=-24
2x+9y=24

Answers

Answer:

x = 12 and y = 0

Step-by-step explanation:

Use elimination by adding the equations together.

-2x + 15y =-24

2x + 9y =  24

---------------

24y = 0

y=0

Then substitute y = 0 into one equation to find x.

-2x + 15(0) = -24

-2x + 0 = -24

-2x = -24

x = 12

Answer: x = 12 y = 0

Step-by-step explanation:

PLS HELP!!

A circle is centered at point (-7,-1) and passes through the point (8,7).

The radius of the circle is _____ units. The point (-15,___) lies on this circle.

Answers

Answer:

Part 1) The radius of the circle is [tex]17\ units[/tex]

Part 2) The points (15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

Part 1

we know that

The distance between the center of the circle at point (-7,-1) and the point (8,7) is equal to the radius of the circle

so

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

substitute the values

[tex]r=\sqrt{(7+1)^{2}+(8+7)^{2}}[/tex]

[tex]r=\sqrt{(8)^{2}+(15)^{2}}[/tex]

[tex]r=\sqrt{289}}[/tex]

[tex]r=17\ units[/tex]

Part 2

we know that

If the point (-15,y) lies on the circle, then the ordered pair must be satisfy the equation of the circle

The equation of the circle is equal to

[tex](x+7)^{2}+(y+1)^{2}=17^{2}[/tex] -----> equation of the circle in center radius form

substitute the value of x=-15 in the equation and solve for y

[tex](-15+7)^{2}+(y+1)^{2}=289[/tex]

[tex]64+(y+1)^{2}=289[/tex]

[tex](y+1)^{2}=289-64[/tex]

[tex](y+1)^{2}=225[/tex]

[tex]y+1=(+/-)15[/tex]

[tex]y=-1(+/-)15[/tex]

so

[tex]y=14[/tex]

[tex]y=-16[/tex]

therefore

The points (15,14) and (-15,-16) lies on this circle

see the attached figure to better understand the problem

Answer:

Part 1) The radius of the circle is  

Part 2) The points (15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

The sum of three numbers is 83. The second number is 5 less than the first. The third number is 2 times the first. what are the numbers​

Answers

Answer:

22, 17, and 44.

Step-by-step explanation:

So what you do is you will have three equations that we will put together.

1. x. The first number is x because they don't give us anything about it.

2. x-5. It says that the second number is 5 less than the first number.

3. 2x. It says that the third number is 2 times the first number.

x+x-5+2x=83.

4x-5=83.

4x=88.

x=22.

That is the first number. To find the second and third, you will plug 22 into the x.

2. 22-5=17.

3. 2(22)=44.

22, 17, 44 are your answers.

Final answer:

By setting up equations based on the information provided, we solved for x as the first number and then used it to determine the other two numbers. The three numbers are 22, 17, and 44.

Explanation:

The sum of three numbers is 83. This is the first equation we'll use to solve the problem. Let's denote the first number as x. According to the question, the second number is 5 less than the first, which gives us the second equation y = x - 5. For the third number, it is given as 2 times the first, hence the third equation is z = 2x.

Now, we'll combine all three equations to express the sum:

x + (x - 5) + 2x = 83

Simplifying, we combine like terms:

4x - 5 = 83

Adding 5 to both sides gives us:

4x = 88

Dividing by 4, we find the first number:

x = 22

Now we'll use x to find the other two numbers:

y = 22 - 5 = 17

z = 2 × 22 = 44

Therefore, the three numbers are 22, 17, and 44.

The members of a track team ran laps around their school. They ran a total of 6 3/4, each lap was 7/8 miles long. How many laps did they run?

Answers

Answer:

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

Step-by-step explanation:

we know that

To find out how many laps they ran, divide the total distance by the distance of one lap

step 1

Convert the total distance from mixed number to an improper fraction

[tex]6\frac{3}{4}\ mi=\frac{6*4+3}{4}=\frac{27}{4}\ mi[/tex]

step 2

Find the number of laps

[tex]\frac{(27/4)}{(7/8)}=\frac{54}{7}\ laps[/tex]

step 3

Convert the number of laps to mixed number

[tex]\frac{54}{7}=\frac{49}{7}+\frac{5}{7}=7\frac{5}{7}\ laps[/tex]

Your friend pulls out a huge home baked pizza from the oven and tells you the area is a=625(pi)cm2. What is the diameter of this pizza

Answers

Answer:

Diameter = 50 cm

Step-by-step explanation:

We are given that the area of a home bakes pizza is [tex] 6 2 5 \pi cm ^ 2[/tex].

Here, we are assuming that the pizza is circular and we know that the area of a circle is given by: [tex]\pi r^2[/tex]

So equating the given value to find the value of the diameter.

[tex]\pi r^2[/tex] [tex]=625\pi[/tex]

[tex]r^2=625[/tex]

[tex]r=\sqrt{625}[/tex]

[tex]r=25[/tex]

If the radius is 25 cm, then  diameter = 25 × 2 = 50 cm

Answer:

The diameter of the pizza= 50 cm

Step-by-step explanation:

Points to remember

Area of circle = πr²

Where r is the radius of circle

It is given that, area of pizza is 625π cm²

A pizza is like a circle.

Find the radius of pizza

Area = πr²= 625π cm²

r² = 625π/π = 625

r = √625 = ±25

radius r = 25cm

To find the diameter of pizza

Diameter = 2r  = 2 * 25 = 50 cm

If 6 pencils cost $3.60 what is the unit price of the pencils

Answers

Your answer is 21.6

Step by Step:

-put it like a regular multiplication problem
-For the 6 add a decimal and then two 0s
-make sure your decimals lines up together
-once you get your answer you notice 3.60 has one number.(Leave the zero out) ^
- that’s how many times you move to put your decimal in the right place
Final answer:

The unit price of one pencil is $0.60.

Explanation:

The cost of one pencil (the unit price) can be found by dividing the total cost by the number of pencils. In this case, we have $3.60 divided by 6. This gives us a unit price of $0.60 per pencil.

Step by step solution

Identify the total cost, which is $3.60, and the total number of pencils, which is 6. Divide the total cost by the total number of pencils: $3.60 ÷ 6 = $0.60. Therefore, the unit price for these pencils is $0.60 each.

Learn more about Unit Price here:

https://brainly.com/question/34061692

#SPJ2

Other Questions
The United States' international power grew as a result of the Spanish-American War because it A. increased military spending. B. gained new territories. C. signed a treaty with Mexico. D. built its industries. what are reflections Which of the following is not a commonly used practice? Choose the correct answer below. A. If the original population is normally distributed, then for any sample size n, the sample means will be normally distributed. B. If the distribution of the sample means is normally distributed, and ngreater than30, then the population distribution is normally distributed. C. The distribution of sample means gets closer to a normal distribution as the sample size n gets larger. D. If the original population is not normally distributed and ngreater than30, the distribution of the sample means can be approximated reasonably well by a normal distribution. A 25.5 ml aliquot of HCl of unknown concentration was titrared with .113 M NaOH. It took 51.2 ml of the base to reach the endpoint of the titration. The concentration (M) of the acid was ? Plzz help! I don't know fraction that well. -42-7k=14-k What is the value of k Induced consumption is equal to saving when consumption equals disposable income. consumption when disposable income is zero. consumption caused by an increase in disposable income. dissaving when disposable income is greater than zero. Hopes for a Native American confederation died with the death of which individual? Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the waters edge. The equation of her average change in elevation over time is e = 300 10t, where t is the time in minutes since she left the cabin, and e is her elevation with regard to sea level. Which values are viable points, and what are their values in the table relating t and e? Will you take a coding class next year. What kind of verb is this how would you solve 200 x 30/100? Please give instructions in how you did so. Could you please help me? n-4-9I really need help with this what is the IQR of 62, 65, 93, 51, 55, 76, 79, 85, 55, 72, 78, 83, 91, and 82 What is the greatest common factor (GCF) of 80 and 100? Washington thought that political parties were __________ national unity.a. helpful to b. needed for c. products of d. destructive to The US Supreme Court is the A. middle court in the federal judicial branch.B. middle court in state judicial branches.C. highest court in the federal judicial branch.D. highest court in state judicial branches.NOT B......... Which of the following best explains how the following scenario illustrates the need for food and drug regulation?Blake lived in a rural community in the late 1800s, and did not have regular access to a doctor. He purchased treatment for his arthritis from a traveling medicine man.A) The medication side effects were unknown.B) The medication did not carry accurate ingredient labels. a) One of the roots of the equation 10x^233x+c=0 is 5.3. Find the other root and the coefficient c.b)The difference between the roots of the quadratic equation x^212x+q=0 is 2. Find q.c)The difference between the roots of the quadratic equation x^2+x+c=0 is 6. Find c. (50 Points & Brainliest) A group of students plotted the number of hours they spent cycling and the number of hours they spent playing football in a week.Which statement best describes the relationship between the number of hours spent cycling and the number of hours spent playing football?A) Fewer hours cycled, fewer hours spent playing footballB) Greater hours cycled, greater hours spent playing footballC) Fewer hours cycled, greater hours spent playing footballD) There is no relationship between hours spent cycling and hours spent playing football. Steam Workshop Downloader