Select the correct answer. Brad is planting flowers in a grid-like pattern in his garden. He is trying to determine the possible numbers of rows and columns in which he can plant his flowers. He determines that two possibilities are 8 rows and 25 columns or 10 rows and 20 columns. What is the constant of proportionality in this inverse variation?

Answers

Answer 1

Answer:

[tex]C.\ 200[/tex]

Step-by-step explanation:

Given

Let R represents rows and C represents Columns

When R = 8, C = 25

When R = 10, C = 20

Required

Given that there exist an inverse variation, determine the constant of proportionality;

We start by representing the variation;

[tex]R\ \alpha \ \frac{1}{C}[/tex]

Convert proportion to an equation

[tex]R\ = \ \frac{k}{C}[/tex]

Where k is the constant of proportion;

[tex]R * C\ = \ \frac{k}{C} * C[/tex]

Multiply both sides by C

[tex]R * C\ = k[/tex]

Reorder

[tex]k = R * C[/tex]

When R = 8, C = 25;

The equation  [tex]k = R * C[/tex] becomes

[tex]k = 8 * 25[/tex]

[tex]k = 200[/tex]

When R = 10, C = 20;

The equation  [tex]k = R * C[/tex] becomes

[tex]k = 10 * 20[/tex]

[tex]k = 200[/tex]

Hence, the concept of proportionality is 200


Related Questions

A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?

Answers

Answer:

60 ounces

Step-by-step explanation:

A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint, that is, the white paint (w) to blue paint (b) ratio is 5:4. We can apply this ratio to different units such as ounces. This means that the mixture has 5 ounces of white paint to 4 ounces of blue paint. If a can of paint contains 75 ounces of white paint, the ounces of blue paint in the can are:

75 oz w × (4 oz b/5 oz w) = 60 oz b

Of 10 girls in a class, three have blue eyes. Two of the girls are chosen at random. Find the probability that: (a) both have blue eyes; (c) at least one has blue eyes; (b) neither has blue eyes; (d) exactly one has blue eyes.

Answers

Answer:

C.

Step-by-step explanation:

It's the most reasonable answer.

A school has 39 vacancies for teachers.out of which 22 are for English language,21 are for mathematics and 17 are for fine arts.of these vacancies 11 are for both English language and mathematics,8 for mathematics and fine arts and 7 for both English and fine arts.calculate the number of teachers who must be able to teach all subjects and fine arts only

Answers

Answer:

12

Step-by-step explanation:

let

x= no. for English

y= no. for maths

z= no. for fine arts

a= no. for all subjects

x= 22

y= 21

z= 17

x+y+z= 39

x intersect y= 11

y intersect z= 8

x intersect z= 7

(4+a)+ (11-a)+ (7-a)+ (8-a)+ (2+a)+ (2+a)+ a= 39

34+a =39

a= 5

no.of teachers who teaches all & fine art only

= a + (2+a)

= 5+7

= 12

Please help. I’ll mark you as brainliest if correct

Answers

Answer:

1,-1,3,4

1,6,-2,-4

-4,6,-6,6

Step-by-step explanation:

I believe you just put in the values into the box. Watch the video to see how they did it to make sure it looks like how I did it.

What is the value of the fourth term in a geometric sequence for which a1 =
30 and r= 1/2

Answers

Answer:

Step-by-step explanation:

Geometric sequence also known as geometric progression, can be said to be a sequence with a constant ratio between the terms.

Formula for geometric sequence:

[tex] a^n = a ( n-1 ) * r [/tex]

Given:

First term, a1 = 30

ratio, r = ½

Required:

Find the fourth term

Where, the first term, a¹ = 30

Second term: a² = 30 * ½ = 15

Third term: a³ = 15 * ½ = 7.5

Fourth term: a⁴ = 7.5 * ½ = 3.75 = 3¾

Therfore the fourth term of the geometric sequence is 3¾

Solve.
1/3-6<24
{s | s<6}
O {S | s < 10}
O {S | s < 54}
O {S | s < 90}

Answers

Answer:

The answer is:

The fourth option,

{s | s <90}

Step-by-step explanation:

yes

Answer:

[tex]\boxed{s|s<90}[/tex]

Step-by-step explanation:

1/3s-6<24

Add 6 on both sides.

1/3s<30

Multiply both sides by 3.

s<90

Find two numbers in a given ratio such that the difference of their squares is to the sum of the numbers in a given ratio.Ratios, respectively, are 3 to 1 and 6 to 1.

Answers

According to the given situation, the computation of two number in a given ratio is shown below:-

We assume the numbers is x and y

Given that

[tex]\frac{x}{y} = \frac{3}{1}[/tex]

x = 3y

and

[tex]\frac{x^2-y^2}{x + y} = \frac{6}{1} \\\\\frac{(x + y) (x - y)}{(x + y)} = 6[/tex]

With the help of above formula we will put the value and be able to find the values of x and y

x - y = 6

3y - y = 6

2y = 6

y = 3

x = 3y = 9

x = 9, y = 3

Therefore the correct answer is x = 9 where as y = 3

In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft. For a group of 1013 adults, the mean of those who do not worry about identify theft is closest to:

Answers

Answer:

[tex]Mean = 344[/tex]

Step-by-step explanation:

Given

[tex]Population = 1013[/tex]

Let p represents the proportion of those who worry about identity theft;

[tex]p = 66\%[/tex]

Required

Mean of those who do not worry about identity theft

First, the proportion of those who do not worry, has to be calculated;

Represent this with q

In probability;

[tex]p + q = 1[/tex]

Make q the subject of formula

[tex]q = 1 - p[/tex]

Substitute [tex]p = 66\%[/tex]

[tex]q = 1 - 66\%[/tex]

Convert percentage to fraction

[tex]q = 1 - 0.66[/tex]

[tex]q = 0.34[/tex]

Now, the mean can be calculated using:

[tex]Mean = nq[/tex]

Where n represents the population

[tex]Mean = 1013 * 0.34[/tex]

[tex]Mean = 344.42[/tex]

[tex]Mean = 344[/tex] (Approximated)

Based on the dot plot, which statements are correct? Check all that apply
Eleven students answered Mr. Chiu's question.
Twelve students answered Mr. Chiu's question.
Three people studied for two hours.
Three people studied for three hours.
Everyone who responded studied for at least one hour.
Four people studied for four or more hours

Answers

Answer: options 2,3and 6

Answer:

option

2-Twelve students answered Mr. Chiu’s question.

3-Three people studied for two hours.

6-Four people studied for four or more hours.

Step-by-step explanation:

hope this helps:)

Two ballpoint pens are selected at random from a box that contains3 blue pens, 2 red pensand 3 green pens. If X is the number of blue pens

Answers

Answer:  3/(28) ≈ 10.7%

Step-by-step explanation:

3 blue + 2 red + 3 green = 8 total pens

   First pick    and           Second pick

 [tex]\dfrac{3\ blue\ pens}{8\ total\ pens}\quad \times \quad \dfrac{2\ remaining\ blue\ pens}{7\ remaining\ total\ pens}\quad =\large\boxed{\dfrac{3}{28}}[/tex]  

Help thx!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Answer E

Step-by-step explanation:

If you think about it, the origin is just (0,0). Now, think which one is the closest to that. (0,1/2), or answer E, should be your assumption.

water drips from a faucet at a rate of 41 drops/ minute. Assuming there are 15,000 drops in gallon, how many minutes would it take for the dripping faucet to fill a 1 gallon bucket? Round your answer to the nearest whole number​

Answers

Answer:

366 Minutes

Step-by-step explanation:

Fine the value of x in the triangle. Then classify the triangle as acute, right,
or obtuse.
47* 45* x

Answers

Answer:

x = 88

Step-by-step explanation:

The sum of the angles in a triangle add to 180

47+45 +x = 180

Combine like terms

92+x = 180

Subtract 92 from each side

92+x-92= 180-92

x =88

For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, is the level of significance, p is the sample proportion, and n is the sample size.

Claim: p >=0.28; α:0.08. Sample statistics: p=0.20, n= 180

Required:
If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision.

Answers

Answer:

The Central Limit Theorem says that if the sample size is more than 30, the data follows a normal sampling distribution. Since the sample size is 180, and that is more than 30, a Normal sampling distribution can be used.

Since a normal sampling distribution can be used, we should FAIL TO REJECT the null hypothesis because p = 0.20, which is more than the significance level of α = 0.08. There is NOT sufficient evidence to suggest that the alternative hypothesis is true.

Hope this helps!

Solve for x : 2^x+4^x+8^x=−14

Answers

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            Hi my lil bunny!

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Let's solve this step by step.

[tex]2^x + 4^x + 8^x = -14[/tex]

              ↓

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

    Prime number 2 to the power of 2 = 4                

[tex]2^x + (2^2)^x + (2^3) ^x = -14[/tex]

                    ↓

Prime number 2 to the power of 3 = 8

[tex]2^x + 2^2x + 2^3x = -14[/tex]

                    ↓

We need to exponentiate the power.

The following rule is applied:

           [tex](A^B) ^C = A^BC[/tex]

In our example,

   A is equal to 2,

   B is equal to 2 and

   C is equal to x.

[tex]( 2^x + 2^2x + 2^3x ) + 14 = -14 + 14[/tex]

                         ↑

In order to solve this non-linear equation, we need to move all the terms to the left side.

In our example,

- term −14, will be moved to the left side.

Notice that a term changes sign when it 'moves' from one side of the equation to the other.

___________________

We need to get rid of expression parentheses.

If there is a negative sign in front of it, each term within the expression changes sign.

Otherwise, the expression remains unchanged.

In our example, there are no negative expressions.

                                  ↓

            [tex]2^x + 2^2x + 2^3x + 14 = 0[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

The question is with the image.

Answers

Answer:

A

Step-by-step explanation:

the graph of x'3 is B

the graph of x'(-1/3) is C

The temperature is 58° F. It gets warmer by h degrees and reaches to 65° F. Find h.

Answers

Answer:

h = 7 degrees

Step-by-step explanation:

To find h, we know that it is positive because it increases in value, not decreases:

h = 65 - 58

h = 7

Answer:

h = 7°F

Step-by-step explanation:

58 + h = 65

h = 65 - 58

h = 7

Check:

68 + 7 = 65

Quick!!! Urgent!!!!!!!!!

Answers

Answer:

my best answer for this is B. False.

I calculated as fast as i can.

Which of the following lines are parallel to 2Y - 3X = 4?

A. Y = 2/3 X + 4
B. Y = 6/4 X
C. 2Y=8-3X

Answers

Answer:

B. Y = 6/4 X

Step-by-step explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

Thus,

answer choice B. Y = 6/4 X is correct.

Hope this helps :)

How many solutions does the following equation have? 14(z+3)=14z+21

Answers

Answer:

No solutions

Step-by-step explanation:

14(z + 3) = 14z + 21

Expand brackets.

14z + 42 = 14z + 21

Subtract 14z on both sides.

42 = 21

There are no solutions.

Answer:

No solution

Step-by-step explanation:

First, We have to simplify the right side.

Distribute 14, 14z+42.

Now the equation stands as 14z+42=14z+21

Subtract 14z from both sides,

this makes it 42=21.

We know when the solution is #=#, our answer is no solution.

Determine which type of correlation is shown in the graphed relationship

Answers

Answer:

No correlation

Step-by-step explanation:

Hey there! :)

This has no correlation because all the points are spread out throughout the graph making no correlation.

Answer:

D no correlation

Step-by-step explanation:

too many scattered dot all over the place if its some going up down its NO CORRELATION!!!

Find the midpoint of the segment between the points (17,−11) and (−14,−16)

Answers

Answer:

(1.5, -13.5)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Simply plug in our coordinates into the formula:

x = (17 - 14)/2

x = 3/2

y = (-11 - 16)/2

y = -27/2

Answer:

(-1.5, -13.5)

Step-by-step explanation:

To find the x coordinate of the  midpoint, add the x coordinates and divide by 2

( 17+-14)/2 = 3/2 =1.5

To find the y coordinate of the  midpoint, add the x coordinates and divide by 2

( -11+-16)/2 = -27/2= - 13.5

Need Help finding the process for both of these ( due today)

Answers

Similar triangles have side lengths that are proportional to each other. To find each of the missing lengths, we need to set up proportions.

The proportions will look as follows:

(length or unknown of triangle 1) / (length or unknown of triangle 2) = (length of triangle 1) / (length of triangle 2)

-On both sides, remember to be consistent with which length/unknown you put on top! If a triangle 1 length is the numerator on the left, then it also needs to be the numerator on the right! And this also works vice versa with triangle 2.

In each proportion equation, we can only have one unknown. On the left side of the equation, we choose one length or unknown of triangle 1, and the corresponding side length of unknown of triangle 2 (whichever you did not choose from triangle 1). On the right side of the equation, we use a completed proportion. This is because all of the sides of one triangle are proportional to the other triangle, but we need to know that proportion/ratio in order to find other side lengths.

Let's start with problem a, to show how this works:

Triangle 1 side lengths - 16, a, 11

Triangle 2 side lengths - 8, 3, b

As you can tell, the side lengths match up (corresponding!) on each triangle, as in they are in the same position on each triangle. Now, we will set up a proportion to find the length of side a on triangle 1.

a / 3 = 16 / 8

48 = 8a

a = 6

Next, let's find the length of side b on triangle 2.

11 / b = 16 / 8

16b = 88

b = 5.5

Moving on to problem b, we'll apply the same concept and steps from problem a in order to find the missing side lengths.

Triangle 1 side lengths: 5, 5.5, d

Triangle 2 side lengths: 15, c, 18

5 / 15 = 5.5 / c

5c = 82.5

c = 16.5

5 / 15 = d / 18

15d = 90

d = 6

Hope this helps!! :)

Answer:

On a) you can see the shapes are simular. The blue line signatures that they are equal just reduced. You can see that 8 goes into 16 two times so for the orange line 3 must times 2. Which would mean a is 6. Now on the red line all you see is 11. So divide 11 by 2 and your answer should be 5.5 for b.

On b) it is the same thing but you have to find how the blue line is divisible. 5 divided by 15 is 3. So 3 is the number you will be using to divide or multiply. For the orange line you divide 18 by 3. The answer is 6 for d. For the red line 5.5 times 3 and you should get 11 for c.

Step-by-step explanation:

Hope this helped

2. Look at the figure below.
Which angle is congruent to 26?

Answers

Answer:

<4 is congruent to angle <6

Step-by-step explanation:

Assuming the lines are parallel

<2 , <4 , <6 , <8 are all equal

Congruent means they are equal.

There are 3 angles that are the same as angle 6, they are 2, 4, 8

The answer would be B. angle 4

Which of the following
examples have a constant rate of change?

A : You drive from Colorado to Texas. In the first 4 hours, you cover 240 miles, and in the second 5 hours, you cover another 240 miles.

B : The money you put in the bank earns 5% Interest. This means that the bank pays you 5% of the amount of the money kept in the bank each year.

C : A salesperson earns $50 plus $10 for every $100 of merchandise he sells.

D : The amount bacteria double every hour.

Answers

Answer:

C : A salesperson earns $50 plus $10 for every $100 of merchandise he sells.

Step-by-step explanation:

If a salesperson earns $50 plus $10 for every $100 of merchandise he sells, the rate of change is 100. The linear equation is T = 50 + 100h, where T is the total amount he earns and h is the number of $100 in merchandise he sells.

The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.

What is the average rate change?

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Let's check all the options, then we have

A: You drive from Colorado to Texas. In the first 4 hours, you cover 240 miles, and in the second 5 hours, you cover another 240 miles. It is an example of a linear function but the slope gets changed after 2 hours.

B: The money you put in the bank earns 5% Interest. This means that the bank pays you 5% of the amount of the money kept in the bank each year. It is an example of the exponential function.

C: A salesperson earns $50 plus $10 for every $100 of merchandise he sells. It is an example of a linear function.

D: The number of bacteria doubles every hour.  It is an example of the exponential function.

The example that represents the constant rate will be a salesperson who earns $50 plus $10 for every $100 of merchandise he sells. Then the correct option is C.

More about the average rate change link is given below.

https://brainly.com/question/28744270

#SPJ5

HELP ASAP I NEED THIS RIGHTNOW 30 points

Answers

Answer:

Pretty sure it is c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

She will be painting the outsides of the table, so we need to find the surface area of the table.

There is the flat part of the table, which is a rectangular prism. There are also four legs, which are rectangular prism.

So, she will paint C. the surface area of 6 rectangular prisms.

Hope this helps!

A 75 lb boy and a 65 lb girl play on a seesaw. The seesaw is 14 ft long and is pivoted exactly in the middle. If the girl sits on the end of her side, where must the boy sit to make the seesaw balance?

Answers

Answer:  6 feet from the pivot point

Step-by-step explanation:

Girl's weight x distance from center = Boy's weight x distance from center

65 (7) = 75x

[tex]\dfrac{65(7)}{75}=x[/tex]

6.066 = x

The boy needs to be placed 6 feet from the center (aka pivot point) which is the same as saying 1 foot from the end of the seesaw.

A cash register has $10 and $50 dollars bills with total of $1080.there are 28 bills in total how many of each bills.

Answers

Hey there! I'm happy to help!

Let's set this up as a system of equations, where x is equal to the number of 10 dollar bills and y is equal to the number of 50 dollar bills.

10x+50y=1080

x+y=28

We want to solve for x or y. We can rearrange the second equation to find the value of one of the variables.

x+y=28

Subtract x from both sides.

y=28-x

Now, we have a value for y. So, we could replace the y in the first equation with 28-x and the solve for x.

10x+50(28-x)=1080

We use distributive property to undo the parentheses.

10x+1400-50x=1080

We combine like terms.

-40x+1400=1080

We subtract 1400 from both sides.

-40x=-320

We divide both sides by -40.

x=8

Since there are 28 total bills, this means that there must be 20 50 dollar ones because there are 8 10 dollar bills.

Have a wonderful day! :D

less than 0 but greater than (−5)

Answers

Answer:

-5 < x < 0

Step-by-step explanation:

WHOEVER ANSWERS FIRST GETS BRAINLIEST:) Which expression represents the surface area of the cone? A cone with diameter 12 inches, height 8 inches, and slant height 10 inches. S A = pi r l + pi r squared (pi) (6) (10) + (pi) (6 squared) (pi) (8) (10) + (pi) (8 squared) (pi) (12) (10) + (pi) (12 squared) (pi) (10) (12) + (pi) (10 squared)

Answers

Answer:

Step-by-step explanation:

The surface area of a cone is:

● Sa = Pi*r^2 +Pi*r*l

r is the radius and l is the slant heigth

The diameter of this cone is 12 inches so the radius is 6 (12/2=6).

●Sa = Pi*36 +Pi*6*10

●Sa = 301.59 in^2

Answer:

pi (6) * 10+ pi ( 6)^2

Step-by-step explanation:

The surface area of a cone is given by

SA =  pi rl +pi r^2  where r is the radius and l is the slant height

We know the diameter is 12 so the radius is 12/2 = 6

SA =  pi (6) * 10+ pi ( 6)^2

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