expand and simplify 3(2x+1)+(x+4)

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

For more such questions on rectangle, click on:

https://brainly.com/question/2607596

#SPJ8

Answer:

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

Step-by-step explanation:

(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)

(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)

−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

\(\large\underline{\sf{Solution-}}\)

Given that:

\(\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)\)

Opening the brackets,

\(\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)\)

Opening the next brackets,

\(\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)\)

So,

\(\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3\)

\(\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 \)

\(\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 \)

Hence, the product is,

\(\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 \)

The selling price is the cost a customer pays for a good or service.

(1) Profit % = 25% . (2) Profit % = 6% . (3) Profit = Rs.9712 .

(4) Profit = Rs.9712 . (5) Loss % =  7.5% .

The amount a buyer pays for a good or service is known as the selling price.

It may differ based on the price that buyers are prepared to pay, the seller's acceptance threshold, and how competitive the price is in relation to those of other companies in the market.

The cost price of an item is the sum paid for it or the cost at which it was produced. C.P. stands for "cost price." Selling Price: The selling price of a good is the price at which it is sold.

So, the table would be:

(1)

CP = Rs.8000 , SP = Rs.10000

if SP > CP, we have profit.

Profit = SP - CP = 10000 - 8000 = Rs.2000 .

Profit % = (Profit * 100) / CP = (2000 * 100) / 8000 = 25% .

(2)

SP = Rs.6890 , Profit = Rs.390 .

CP = SP - Profit = 6890 - 390 = Rs.6500 .

Profit % = (Profit * 100) / CP = (390 * 100) / 6500 = 6% .

(3)

CP = Rs.25000 , Loss = Rs.1000 .

SP = CP - Loss = 25000 - 1000 = Rs.24000 .

Loss % = (Loss * 100) / CP = (1000 * 100) / 25000 = 4% .

(4)

CP = Rs.48560 , Profit = 20% .

SP = CP * (100 + Profit%) / 100 = (48560 * 120) / 100 = Rs.58272 .

Profit = SP - CP = 58272 - 48560 = Rs.9712 .

(5)

CP = Rs.28320 , SP = Rs.26196 .

CP > SP, we have a Loss.

Loss = CP - SP = 28320 - 26196 = Rs.2124 .

Loss % = (Loss * 100) / CP = (2124 * 100) / 28320 = 7.5% .

Therefore, the selling price is the cost a customer pays for a good or service.

(1) Profit % = 25% . (2) Profit % = 6% . (3) Profit = Rs.9712 .

(4) Profit = Rs.9712 . (5) Loss % =  7.5% .

Know more about the selling price here:

https://brainly.com/question/1153322

#SPJ9

Complete question:

Find the profit or loss and complete the table.

Cost Price Selling Price Profit () Loss

Profit Loss

Percentage Percentage

6000

1000

6000

(a) 5000

(b) 6200

(c) 2400

(d) 1900

400

300

1590

190​

As far as I can tell, your graph is correct.

If you look at the x-axis of the graph, you'll see that the graph crosses it when x is 0, 1, 2, 3, and 4. The asymptotes are halfway in between these points, so if you find the midpoints between each set of points, you'll get 0.5, 1.5, 2.5, and 3.5. These are your answers.

Step-by-step explanation:

The solution of expression 90 ÷ [5 (3×2) - 1} is,

90 ÷ [5 (3×2) - 1} = 3.10

We have to given that,

An expression to simplify as,

⇒ 90 ÷ [5 (3×2) - 1}

We can simplify the expression as,

⇒ 90 ÷ [5 (3×2) - 1}

⇒ 90 ÷ [5 ×6 - 1]

⇒ 90 ÷ [29]

⇒ 3.10

Therefore, The solution of expression 90 ÷ [5 (3×2) - 1} is,

90 ÷ [5 (3×2) - 1} = 3.10

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ9

This transformation of the polygon ABCD to A'B'C'D' is a by a factor of 2√5.

The coordinates are given as:

First polygon: A (-3, 7), B (-4, 9), C (-7, 9), and D (-4, 5).

Second polygon: A' (3, -4), B'(3, 6), C'(8, 2.8), and D'(7.2, -1.9)

Calculate the distance AB and A'B' using:

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ AB = √ (-4 + 3)² + (9 - 7)²

⇒ AB = √1 + 4

⇒ AB = √5

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ A'B' = √ (3 - 3)² + (6 + 4)²

⇒ A'B' = 10

This gives, Divide A'B' by AB to determine the scale factor (k)

k = 10 / √5

k = 2√5

Hence, this transformation is a by a factor of 2√5

Read more about transformation at:

brainly.com/question/4289712

#SPJ1

Answer:

Reflection and 2

Step-by-step explanation:

for plato

With algebraic operations, the value becomes 0.8.

According to the statement

We have to find that the value of the statement.

So, For this purpose, we know that the

Algebraic operation is any combination of a finite number of the operations of addition, multiplication, subtraction, and division.

And the The four basic algebraic operations are addition, subtraction, multiplication and division.

From the given information:

The result of 10 - 9.2

Then

10 - 9.2

Here we add to subtract the given terms

Then after subtracting the terms the value of the statement become

0.8

Then with the help of the algebraic operation the value becomes 0.8.

So, With algebraic operations, the value becomes 0.8.

Learn more about Algebraic operation here

https://brainly.com/question/22763064

#SPJ9

Answer:

A

Step-by-step explanation:

The reason it's A is because to make the ratio 1:1 you need to have a whole number you can't have half a pencil or pen, so what you need to do is add 22 and 96 and divide you should get 59, but if you add 23 to 96 and divide you get 59.5 and you can't have half a pencil (you can but that's not what were looking for). So in problems like this add and then divide by 2 and choose whole numbers because you can't have half in ratios cause that won't give the correct answer.

Answer:

C = 24

Step-by-step explanation:

just trust me i got it wrong thinking it was A= 22

The solution is the area of the figure is 53.17.

The area of a trapezoid is found using the formula, A = ½ (a + b) h,

where 'a' and 'b' are the bases (parallel sides) and 'h' is the height .

here, we have,

from the given figure we get,

a = 10,

b = 6

h = 8

so, A = 64

again, the cut triangle is a equilateral triangle with side = 5

then, area of triangle = √3/4 * 5^2

                                   = 10.82

so, required area = 53.17

Hence, The solution is the area of the figure is 53.17.

To learn more on area of trapezoid click:

brainly.com/question/15640807

#SPJ1

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

Learn more about graph:
https://brainly.com/question/25184007
#SPJ1

Answer:

z = \(\frac{1}{2}\) xy

Step-by-step explanation:

given z is directly proportional to xy then the equation relating them is

z = kxy ← k is the constant of proportion

to find k use the condition z = 21 when x = 6 and y = 7

21 = k × 6 × 7 = 42k ( divide both sides by 42 )

\(\frac{21}{42}\) = k , that is

k = \(\frac{1}{2}\)

equation relating them is

z = \(\frac{1}{2}\) xy

Answer:

\(16-(6.25+2*2.25)\)

Step-by-step explanation:

To find the amount of money she has left, you want to subtract the price of the ticket and the price of the two snacks from the amount of money she starts with.

So we want to subtract 6.25 once and subtract 2.25 twice (because she bought two snacks) from 16

16-6.25-2*2.25

Or you can also do this by adding up the monetary value of the ticket and the snacks and subtract that from the initial amount of money that Parvati has

16-(6.25+2*2.25)

(I am assuming that the "2.2.25" is supposed to say \(2*2.25\))

By using chi-squared test, we can conclude that there is evidence of an association between breed and milk yield at the 5% significance level.

What is chi-squared test?

To perform a chi-squared test for independence between breed and milk yield, we need to set up the hypotheses:

Null hypothesis: There is no association between breed and milk yield.

Alternative hypothesis: There is an association between breed and milk yield.

We will use a significance level of 0.05.

To calculate the expected counts for each cell, we will use the formula: (row total x column total) / grand total.

The observed counts and expected counts are:

The grand total is 100.

The degrees of freedom for the test are (number of rows - 1) x (number of columns - 1) = (2 - 1) x (3 - 1) = 2.

Using a chi-squared distribution table or calculator, we find the critical value for a chi-squared test with 2 degrees of freedom and a 0.05 significance level to be 5.99.

To calculate the test statistic, we use the formula:

chi-squared = \(sum((observed\ count - expected\ count)^2 / expected\ count)\)

The calculated value of chi-squared is:

\(chi-squared = ((32-25.76)^2 / 25.76) + ((20-19.04)^2 / 19.04) + ((16-13.20)^2 / 13.20) + ((10-16.24)^2 / 16.24) + ((18-18.96)^2 / 18.96) + ((4-4.80)^2 / 4.80) = 10.92\)

The degrees of freedom for the test are 2, and the critical value is 5.99.

Since the calculated value of chi-squared (10.92) is greater than the critical value (5.99), we reject the null hypothesis.

Therefore, we can conclude that there is evidence of an association between breed and milk yield at the 5% significance level.

To learn more about chi-squared test visit:

https://brainly.com/question/4543358

#SPJ1

Answer:

Try photo math, it will explain it all to you

No. The square of the longest side must be equal to the sum of the squares of the smaller sides. But we have

9² + 7² = 81 + 49 = 140 ≠ 121 = 11²

C. The point estimate of the difference between the two population means is 2.

D. The 90% confidence interval estimate of the difference between the two population means is (1.748, 0.867)

Given that:

Sample 1 mean (x1) = 9

Sample 2 mean (x2) = 7

Sample 1 standard deviation (σ1^2) = 2.28

Sample 2 standard deviation (σ2^2) = 1.79

C. To find point estimate of the difference between the two population   means.

sample mean(x1) - sample mean(x 2)

 = 9 - 7

= 2

Therefore, point estimate = 2

D. To find 90% confidence interval estimate of the difference between the two population means

90% confidence for 't'

df = (n1 + n2) - 2

   = 12-2

   = 10

90%  confidence with df = 10 is t

t = 1.812

point estimate + 1 - t * \(\sqrt{\frac{s^2_{1} }{n_{1} } + \frac{s^2_{2} }{n_{2} } }\)

2 + 1 - 1.812*\(\sqrt{\frac{2.28^2}{6} + \frac{1.79^2}{6} }\)

3 - 1.812 *\(\sqrt{0.866 + 0.534}\)

1.188 * 0.9305 + 0.7307

(1.748, 0.867)

To learn more about point estimate check the given link

https://brainly.com/question/16256145

#SPJ4

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

George Kolinsky Washington

Answer:

George Washington

Step-by-step explanation:

On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.

Answer:

Step-by-step explanation:

49255-1674.67=47580.33

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

To learn more about equations click on,

https://brainly.com/question/29266004

#SPJ1

Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

Learn more about Exterior angle on:

https://brainly.com/question/2546141

#SPJ1

Answer:

1.9375

Step-by-step explanation:

used a clacalator

Answer:

31/16 or 1.9375 or 1 and 15/16

Step-by-step explanation:

Using the distance formula, we can find the lengths of the sides of the triangle:

Side 1: From (1, −8) to (−3, 0)

d = √[(−3 − 1)² + (0 − (−8))²]

d = √[16 + 64]

d = √80

Side 2: From (−3, 0) to (−2, −7)

d = √[(−2 − (−3))² + ((−7) − 0)²]

d = √[1 + 49]

d = √50

Side 3: From (−2, −7) to (1, −8)

d = √[(1 − (−2))² + ((−8) − (−7))²]

d = √[9 + 1]

d = √10

To find the perimeter, we add the lengths of the three sides:

Perimeter = √80 + √50 + √10

Therefore, the exact perimeter of the triangle is:

Perimeter = √80 + √50 + √10

Answer:

15 units

Step-by-step explanation:

Answer:

8.9 i think

Step-by-step explanation:

Answer:

8.95

Step-by-step explanation:

Since 3 is less than 5 just take 3 off.

Answer:

Step-by-step explanation:

volume of a cylinder=πr^2h

=π*5^2*15

=π*25*15

=375π cm^3

Volume of a cylinder = πr^2h

→ π × 5^2 × 15

→ π × 25 × 15

→ 375π cm^3

Answer:

dont remove my work :/

Step-by-step explanation:

Answer:

Since 400 is the mean and the standard deviation is 50, $400-$450 is +1 standard deviation. One standard deviation is 34.1% probability that the worker's wages would fall in this range.

Step-by-step explanation: