Molly ran 2/3 of a mile in 8 minutes if molly rubs at that speed how long will it take. Her to run one mile

Answers

Answer 1

2x/3=8

2x=24

x=12

It takes Molly 12 minues to run one mile.



Related Questions

Peter has two coupons from Gussini's Department Store, one for $10 off and another for 10% off. Peter wants to purchase a shirt for $64. His friend Casey told him to use the 10% of coupon because it is the best deal and his friend Josue told him to use the $10 off coupon because it is the best deal. Which friend is correct?

Answers

Answer:

Josue is Write

Step-by-step explanation:

64 x .10 = 6.4 in savings while $10 off is better

What is the value of x?


5

6

2

-2

Answers

Answer:

x= -2

Step-by-step explanation:

The distance from one end of the line  to the other is -3x-1.

Counting on the number line we count 6 units.  Setting them equal we get

-3x-1 = 5

Add 1 to each side

-3x-1+1 = 5+1

-3x = 6

Divide each side by -3

-3x/-3 = 6/-3

x = -2

Write an explicit formula for the sequence 2,-3,-8,-13,-18 then fin the 13th term

Answers

Final answer:

The given sequence is an arithmetic sequence with a common difference of -5. The explicit formula for the sequence is A_n = 2 + (n-1)*-5. Using this formula, the 13th term of the sequence is -58.

Explanation:

The given sequence is 2, -3, -8, -13, -18. We find that the common difference of the sequence is -5 because each term subtracts 5 from the previous term. This is an arithmetic sequence. The explicit formula for an arithmetic sequence is given by A_n = A_1 + (n-1)*d where A_n is the nth term, A_1 is the first term, d is the common difference and n is the position in the sequence. So in this case, our formula becomes A_n = 2 + (n-1)*-5.

Now let's find the 13th term in the sequence. Substituting n=13 into the formula we get: A_13 = 2 + (13-1)*-5 = 2 - 60 = -58. Therefore, the 13th term of the sequence is -58.

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Which sequence is the best financial approach?



A.) save for an emergency, pay off debts, save for retirement



B.) save for retirement, pay off debts, save for an emergency



C.) pay off debts, save for an emergency, save for retirement



D.) save for an emergency, save for retirement, pay off debts

Answers

Answer:

Option C is correct.

Best financial approach: pay off debts, save for an emergency, save for retirement.

Step-by-step explanation:

It is better to pay off the debts and then the rest of the money must be kept safe for the emergency because it is not necessary that you will have an emergency condition, it can take place or cannot take place. Then, when these two criteria are full filled then the rest of the money should be kept for the retirement.

Therefore, for the best financial approach :

[tex]\text{pay off debt} \rightarrow \text{save for an emergency} \rightarrow \text{save for retirement}[/tex]

Kwanzaa is an African American holiday celebrated December 26th through January 1st. The colors of Kwanzaa are red,green,and black, and the holiday has seven symbolic elements. Two of these elements are the mishumaa saba (the seven candles) and the kinara (the candle holder). Traditionally, the mishumaa saba are arranged in the kinara as shown, three identical red candles on the left, three identical green candles on the right and a black candle in the center. If, however, the candles could be arranged in any order, in how many different ways could the seven candles be arranged in the kinara?

Answers

Answer:


Step-by-step explanation:

Another very interesting problem

If the candles were all of a different color, then the first candle (randomly chosen) would be 7. The second candle would be any one of 6. Third would be any one of the remaining 5, then 4 then 3 then 2 then 1

The abbreviated way of writing that is 7! which means that the number of different ways would be

7*6*5*4 *3*2*1

However this problem is not that simple The complexity comes from the fact that there are colors that are duplicated.

That event is handled by dividing 7! /by 3! and another 3!

The result is 140

3! = 3*2*1 = 6

So you would take 7! and divide by 6*6

5040/36 = 140

This problem is much more difficult than any of the others.

Final answer:

There are 9 different ways the seven candles can be arranged in the kinara.

Explanation:

The given problem is asking for the number of different ways that the seven candles can be arranged in the kinara for the celebration of Kwanzaa. Since there are seven candles, we can solve this problem by finding the number of permutations of seven objects. The formula for permutations is nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects we are arranging.

First, we calculate the number of ways to arrange the red candles. Since there are three identical red candles, this can be represented as 3P3 = 3! / (3 - 3)! = 3! / 0! = 3! / 1 = 3.Next, we calculate the number of ways to arrange the green candles. Similar to the red candles, this can be represented as 3P3 = 3! / (3 - 3)! = 3! / 0! = 3! / 1 = 3.Finally, we calculate the number of ways to arrange the black candle. Since there is only one black candle, there is only 1P1 = 1! / (1 - 1)! = 1! / 0! = 1! / 1 = 1.

To find the total number of arrangements, we multiply the number of ways to arrange each set of candles together. Therefore, the total number of different ways the seven candles can be arranged in the kinara is 3 * 3 * 1 = 9.

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In the diagram below, what needs to be labeled in order to prove triangle AHL and triangle EML are congruent by the SSS postulate

Answers

Answer:

Final answer is HL = LM.

Step-by-step explanation:

We have been given a diagram having two triangles in which sides AH= EM and AL=EL.

Now we need to find which statement is missing to prove that triangles AHL and EML are congruent using SSS.

SSS means (side - side - side)

Two pair of equal sides are already given so we have completed SS of SSS.

Last "S" means we need one more pair of equal sides so that must be using remaining sides HL and LM

Hence final answer is HL = LM.

In triangles AHL and EML, AH=EM, AL=EL. To prove congruence by SSS, it's concluded that D)  HL=LM is required.

In the given problem, the conclusion is established by presenting a diagram containing two triangles, AHL and EML, with specified equal side lengths: AH = EM and AL = EL. The objective is to ascertain the missing statement required to demonstrate the congruence of these triangles through the Side-Side-Side (SSS) criterion.

The SSS criterion asserts that for two triangles to be congruent, the corresponding sides of the triangles must be equal in length. In this context, the sides AH and AL, as well as EM and EL, serve as two pairs of equal sides, satisfying the "SS" criteria of SSS. To complete the SSS congruence condition, it is necessary to establish the equality of the remaining sides, HL and LM.

Consequently, the final answer deduced from the step-by-step explanation is that HL equals LM. This signifies the fulfillment of the Side-Side-Side criterion, ensuring the congruence of triangles AHL and EML. The logical progression of the explanation elucidates the geometric relationships and justifies the conclusion that HL = LM is the missing statement essential for establishing the congruence of the two triangles.

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Solve: log2(x-4) = 4 A) 4 B) 8 C) 12 D) 20

Answers

Answer:

D

Step-by-step explanation:

using the rule of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

[tex]log_{2}[/tex](x - 4) = 4

⇒ x - 4 = [tex]2^{4}[/tex] = 16 ( add 4 to both sides )

x = 20 → D



Answer:

D) 20

Step-by-step explanation:


Terrance is putting away holiday decorations he has 204 ornaments that need to be put away into plastic containers each container has been 6 sections and each section can fit I oranament how many plastic containers Terrance fill

Answers

Answer: 34


Step-by-step explanation:

Divide the number of ornaments by the number of sections in the plastic containers.

204/6= 34

Terrance will need 34 plastic containers to store all 204 of his ornaments, with each container holding 6 ornaments.

Terrance has 204 ornaments to put away, and each container has 6 sections; with each section holding one ornament. To find out how many containers Terrance will need, divide the total number of ornaments by the number of ornaments that fit into one container. This is a simple division problem: 204 ornaments divided by 6 sections per container equals 34.

Therefore, Terrance will need 34 plastic containers to store all his holiday ornaments.



Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation 3x−y4=11 ?


1. Neither ordered pair is a solution.

2. (3, −8) is a solution to the equation but not (4, 4) .

3. Both ordered pairs are solutions.

4. (4,  4) is a solution to the equation but not (3, −8) .

Answers

Answer:

1. Neither pair is a solution

Step-by-step explanation:

3*3=9   -18*4=-32   9(-)-32=41 not eleven

4*3=12   4*4=16   12-16=-4 not eleven

Calculate s50 for the arithmetic sequence defined by

Answers

I think it is B.

Sorry if I get it wrong

Answer the correct choice is d 617.5


HELP PLEASE!!!
1. There are two bags of marbles. Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one Green marble from Bag A and one black marble from Bag B. These events are:
a. independent
b. dependent
c. neither
d. can not be determined

2. You are asked to find the probability of selecting two cards from a standard deck of cards. What is the probability that you select an Ace then a King? These events are:
a. can not be determined
b. independent
c. dependent
d. neither

Answers

Problem 1

Answer: Independent

The reason why is because each bag is separate from one another, so one event doesn't affect the other. If we know the result of what we pulled out of one bag, it doesn't change the probability of the other event.

======================================

Problem 2

Answer: Dependent

Assuming you do not put the first card back, then the probability of picking a King on the second draw will be different than if you picked a King on the first draw. With all 52 cards in the deck, the probability of getting a king is 4/52 = 1/13. It changes to 4/51 after we picked out an ace for the first card (and didn't put that first card back).

2+2^2=???????????????????????????

Answers

Answer:

6

Step-by-step explanation:

First, you multiply 2 to the 2nd power, then add 2

Question

2+2^2


Answer:

6

Step-by-step explanation:

2² = 2*2

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

power first then sum

2 + 2² =

2 + 4 =

6


What is the constant of proportionality for the relationship shown in this table?


x 3 6 9 12
y 1 2 3 4


1/6
1/3
3
9

Answers

Answer:

It is 1/3.

Step-by-step explanation:

The y values are 1/3 of the x values  so the relation  is

y = 1/3 x

Constant of proportionality = 1/3

The constant of proportionality for the given relationship y = 1/3x is (1/3).

What is proportionality?

Proportionality are of two types one is direct proportion and another is inverse proportion. If two or more two quantities are in proportion they increase or decrease at a constant rate called the constant of proportionality.

We know two quantities are proportional if they increase or decrease by a certain constant rate.

Given when x = 3, y = 1  and when x = 9, y = 3.

∴ We can conclude that x = 3y or y = 1/3x.

So, the constant of proportionality is 1/3.

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A scientist is testing a new antibiotic by applying the antibiotic to a colony of 10,000 bacteria. The number of bacteria decreases by 75% every two hours. How many hours will it take for the bacteria colony to decrease to 1000? Round your answer to the nearest tenth of an hour.

Answers

Answer:

3.3 hours.

Step-by-step explanation:

We have been given that a scientist is testing a new antibiotic by applying the antibiotic to a colony of 10,000 bacteria. The number of bacteria decreases by 75% every two hours.

Since number of bacteria is decreasing exponentially, so we will use exponential decay function.

[tex]y=a*b^x[/tex], where,

a= Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

[tex]75\%=\frac{75}{100}=0.75[/tex]

As number of bacteria is decreasing every 2 hours, so number of bacteria decreased in 1 hour will be x/2.

Upon substituting our given values in above formula we will get,

[tex]y=10,000(1-0.75)^{\frac{x}{2}}[/tex]

To find the number of hours it will take to for the bacteria colony to decrease to 1000, we will substitute y = 1,000 in our equation.

[tex]1,000=10,000(0.25)^{\frac{x}{2}}[/tex]

Let us divide both sides of our equation by 10,000.

[tex]\frac{1,000}{10,000}=\frac{10,000(0.25)^{\frac{x}{2}}}{10,000}[/tex]

[tex]0.1=(0.25)^{\frac{x}{2}}[/tex]  

Let us take natural log of both sides of our equation.

[tex]ln(0.1)=ln((0.25)^{\frac{x}{2}})[/tex]

[tex]ln(0.1)=\frac{x}{2}*ln(0.25)[/tex]

[tex]-2.302585=\frac{x}{2}*-1.386294[/tex]

[tex]x=\frac{-2.302585}{-1.386294}*2[/tex]

[tex]x=1.660964*2[/tex]

[tex]x=3.3219\approx 3.3[/tex]

Therefore, it will take 3.3 hours  for the bacteria colony to decrease to 1000.

Final answer:

It will take 4 hours for the bacteria colony to decrease from 10,000 to 1,000, considering a 75% decrease every two hours.

Explanation:

To find out how many hours it will take for the bacteria colony to decrease from 10,000 to 1,000 with a 75% decrease every two hours, we can use the formula for exponential decay: [tex]N = N0(1 - r)^t[/tex], where N is the final amount, N0 is the initial amount, r is the rate of decrease (expressed as a decimal), and t is the time in units of the rate's period (in this case, every two hours).

Here, N0 = 10,000, N = 1,000, and r = 0.75. Plugging the values into the formula gives [tex]1,000 = 10,000(1 - 0.75)^t.[/tex]Simplifying, we find [tex](1 - 0.75)^t = 0.1.[/tex]

Solving for t, we find that t equals 2 cycles or 4 hours, because the bacteria population decreases by 75% every 2 hours, and it takes 2 cycles for the population to reach 1,000 from 10,000.

Three ounces of cinnamon cost $2.40. If there are 16 ounces in 1 pound, how much does a cinnamon cost per pound?

Answers

Divide the cost for 3 ounces by 3, to find the cost per ounce:

2.40 / 3 = 0.80

It cost 80 cents per ounce.

Now multiply the cost per ounce by 16 ounces:

16 x 0.80 = 12.80


It will cost $12.80 for one pound.

A car travels 54.9 miles in an hour.If the car continues at theach same speed for 12 hrs how many will it travel

Answers

Answer:

658.8 miles

Step-by-step explanation:

first divide 54.9 by 60. then multiply that by 12 times 60

The car will travel 658.8 miles if it continues at the same speed for 12 hours.

To find out how far the car will travel in 12 hours, we need to multiply the distance traveled in one hour by the number of hours the car will be traveling.

Given that the car travels 54.9 miles in one hour, we can represent this distance as [tex]\( \frac{549}{10} \)[/tex] miles per hour to avoid dealing with decimals. This fraction is equivalent to 54.9 miles.

Now, we multiply this distance by the time duration of 12 hours to find the total distance:

[tex]\[ \text{Total distance} = \text{Distance per hour} \times \text{Number of hours} \][/tex]

[tex]\[ \text{Total distance} = \frac{549}{10} \text{ miles/hr} \times 12 \text{ hr} \][/tex]

[tex]\[ \text{Total distance} = \frac{549 \times 12}{10} \text{ miles} \][/tex]

[tex]\[ \text{Total distance} = \frac{6588}{10} \text{ miles} \][/tex]

[tex]\[ \text{Total distance} = 658.8 \text{ miles} \][/tex]

Therefore, the car will travel 658.8 miles in 12 hours at the same speed.

A fruit punch recipe calls for 3/4 cup of pineapple juice and 1 1/2 cups of orange juice. I have 4 1/2 cups of pineapple juice and want to use all of it. How many cups of orange juice will I need?

Answers

Answer: If the recipe wants 3/4 cup of pineapple juice for every 6/4 cups of orange juice, 18/4 is 6x more than the recipe so 6/4 must be 6x larger too.

6 x 3/2 = 18/2 or 9 cups of orange juice. Hope this helps :) Please mark brainliest if you can ;)


Please please please help!!!!
The two triangles below are similar.


What is the ratio of the corresponding side lengths?

A) 4:9
B) 4:2
C) 26:26
D) 4.5:2

Answers

Answer is 4:2 (choice B)

AB is 4 units while A'B' is 2 units. The ratio of the sides is simply gluing these two numbers together with a colon symbol in between to get 4:2. We can reduce this to get 2:1, but your teacher has decided not to do this.

I think the answer is choice B.

Hope it helps!

Scarlett sells designer ponchos. The revenue, RR, she makes from selling a batch of nn ponchos is given by the function R(n)=20nR(n)=20n, and the expenses, EE, that she incurs from producing a batch of nn ponchos is given by the function E(n)=10\cdot \sqrt{n}E(n)=10? n ? . Let PP be the total profit Scarlett makes from producing and selling a batch of nn ponchos

Answers

Answer:

Write a formula for P(n) in terms of R(n).

R(n) - E(n)

Write a formula for P(n) in terms of n.

20n - [tex]10\sqrt{n}[/tex]

Step-by-step explanation:

Please rate 5 stars and thanks if the answer is right :)

Final answer:

To calculate Scarlett's profit for selling ponchos, subtract her total expenses from her total revenue using the functions provided. For a specific number of ponchos, plug that number into both the revenue and expense functions and subtract the results.

Explanation:

The student's question deals with the calculation of profit for a business venture, specifically for selling batches of designer ponchos. Given the revenue function R(n) = 20n and the expense function E(n) = 10 √{n}, the profit that Scarlett makes from producing and selling a batch of n ponchos can be calculated by subtracting the total expenses from the total revenue, which is P(n) = R(n) - E(n). To find Scarlett's profit for a specific number of ponchos, simply plug the value of n into both functions and perform the subtraction.

For example, if Scarlett wants to calculate the profit for selling 5 ponchos, the revenue would be R(5) = 20(5) = $100, and the expenses would be E(5) = 10√5. Scarlett's total profit for 5 ponchos would then be P(5) = $100 - 10√5.

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
3x-4y-5z=-27
5x+2y-2z=11
5x-4y+4z=-7

A.(1,5,51)
B.(10,5,51)
C.(10,51,23)
D.(1,5,2)

Answers

Answer:

D. (1, 5, 2)

Step-by-step explanation:

It is convenient to let a graphing calculator do this. See the attachment.

Answer:

D.(1,5,2)

Step-by-step explanation:

Lets write the augmented matrix by writing the coefficients of all the variables

3      -4    -5      -27              Row 1

5        2     -2      11               Row 2

5       -4      4      -7               Row 3

WE need to get

1   0   0

0   1    0

0   0   1  then last column will be the value of x , y , z

To get identity matrix we use row operations

(R1=R1/3)

1      -4/3    -5/3      -9              Row 1

5        2        -2      11               Row 2

5       -4        4      -7               Row 3

Subtract row 1 multiplied by 5 from row 2 (R2=R2−(5)R1)

1      -4/3      -5/3      -9              Row 1

0     26/3      19/3     56              Row 2

5       -4             4      -7               Row 3

Subtract row 1 multiplied by 5 from row 3 (R3=R3−(5)R1)

1      -4/3      -5/3      -9              Row 1

0     26/3      19/3     56              Row 2

0      8/3       37/3    38               Row 3

Multiply row 2 by 326 (R2=(3/26)R2)

1      -4/3      -5/3        -9              Row 1

0     1       19/26    84/13              Row 2

0      8/3       37/3    38               Row 3

Add row 2 multiplied by 4/3 to row 1 (R1=R1+(4/3)R2)

1      0        -9/13     -5/13              Row 1

0     1       19/26    84/13              Row 2

0      8/3       37/3    38               Row 3

Subtract row 2 multiplied by 8/3 from row 3 (R3=R3−(8/3)R2)

1      0        -9/13     -5/13              Row 1

0     1       19/26    84/13              Row 2

0    0       135/13    270/13           Row 3

Multiply row 3 by 13/135 (R3=(13/135)R3)

1      0        -9/13     -5/13              Row 1

0     1       19/26    84/13              Row 2

0    0          1         2                    Row 3

Add row 3 multiplied by 9/13 to row 1 (R1=R1+(9/13)R3)

 1      0       0            1                  Row 1

0     1       19/26    84/13              Row 2

0    0          1         2                    Row 3

Subtract row 3 multiplied by 19/26 from row 2 (R2=R2−(19/26)R3)

 1      0       0            1                  Row 1

0     1          0          5                 Row 2

0    0          1         2                    Row 3

From the above matrix we can say that x=1 , y=5 and z= 2

Complex Roots #4 Problem

Answers

The sqrt of a negative number is the same just add i to it. So the √-49 is just i ×√49, or 7i. To solve the second, just do it normally knowing what I just told you.

x²+4=0

x²=-4

√x²=plus or minus √-4

x=plus or minus 2i

I don't have the plus or minus symbol so I just wrote it out.

A public pool opened for summer. A total of 246 people came swimming over the first 3 days it was open on the first day79came to swim on the second day 104 people swam how many people swam on the third day

Answers

63 People came on the third day

Hi there!

So there was a public pool opened for summer and a total of 246 people came swimming over the first 3 days. On the first day 79 came to swim and on the second day 104 came to swim. To find how much people swam on the third day, we need to add 104 + 79 and subtract the answer with 246.

104 + 79 = 183

246 - 183 = 63

63 people came to swim on the third day.

Hope this helped!~

Find the equation of a line parallel to y = 3x - 6, passing through the point (-6, -7). options:
y = 3x + 11
y = 3x - 11
y = 3x - 7
y = -1/3x - 9

Answers

Parallel lines have the same a slope. Therefore if

k: y = 3x - 6 → slope = 3

and l: y = mx + b

l || k ⇔ m = 3

l: y = 3x + b

We have the point (-6, -7). Put the coordinates to the equation:

-7 = 3(-6) + b

-7 = -18 + b    add 18 to both sides

11 = b → b = 11

Answer: y = 3x + 11




Which inequality corresponds with the graph?

A) x > -2

B) x < -2

C) x ≤ -2

D) x ≥ -2

Answers

Answer:

D

Step-by-step explanation:

An inequality is an expression which means more than one number is a solution. We graph the solutions on a number line to show all possible values. We graph using circles and arrows.

Equal to and less/greater than are graphed with filled in circles on the value.Only less/greater than (not equal to) are graphed with open (not filled in) circles on the value.We draw an arrow the direction the solutions satisfy the inequality. Generally this is the direction the inequality itself points.

This is a filled in circle on -2 so this is [tex]\leq or \geq[/tex]. This means only answers C and D are options.

Answer D points to the right.

Function f, shown below, is translated down 3 units and left 4 units to create function g.
F(x)= 3|x-2|-5

Fill in the values of a, h, and I to write the function g.

G(x)= a|x-h|+k

Answers

Answer: G(x) = 3|x + 2| - 8

Step-by-step explanation:

"a" represents the vertical stretch (or shrink)

"h" represents the x-coordinate of the vertex

x-axis goes left and right

"k" represents the y-coordinate of the vertex

y-axis goes up and down

F(x) = 3|x - 2| - 5

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

       = 3|x + 2| - 8

Answer:

g(x)=3 lx+2l-8

:)

Anfernee bought 4 umbrellas and 2 hats and spent between 40 to 60 dollars. Each hat cost the same amount. The price of a hat is 8 dollars. What is the least amount Anfernee could have spent on an umbrella and what is the most?

Answers

Greetings!

Answer:

Cheapest = $6

Most expensive = $11

Step-by-step explanation:

First we need to make an equation:

4u + 2h = 40 < x < 60

u is umbrellas and h is hats,

If a hat is 8, then this can be:

4u + 2(8) = 40 < x < 60

4u + 16 = 40 < x < 60

4u = 40 - 16

4u = 24

u = 6

So the cheapest an umbrella can be is $6.

The most expensive is:

4u = 60 - 16

4u = 44

u = 11

So the most expensive is $11


Hope this helps!

Jaime has 6 quarters and some dimes in his pocket . The total value of the coins in 4.50. How many dimes does he have in his pockets

Answers

$3.50 in dimes wich is 350 dimes i believe

Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 22 seconds. But, as she gets tired, each sit-up takes longer and longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them? Choose 1 answer:

Answers

Answer:

No, the number of sit-ups Anna does, are not proportional to the time she spends doing them.

Step-by-step explanation:

When Anna starts, she does a sit-up every 22 seconds. But, as she gets tired, each sit-up takes longer and longer to do.

So, no, the number of sit-ups Anna does, are not proportional to the time she spends doing them. his is because for being proportional, the decreasing or increasing rate should be constant but here, it is not.

Answer:she spends 22 seconds

The coordinates of a point on a coordinate grid are (−2, 6). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are (4 points)

(2, 6)

(−2, 6)

(−2, −6)

(2, −6)

Answers

(-2,-6) cause the rule for flippin over x axis u turn the y opposite

Answer:

its -2,-6 hope this helps ヾ(•ω•`)o o(* ̄▽ ̄*)ブ

Step-by-step explanation:

The cost of stainless steel tubing varies jointly as the length and the diameter of the tubing. If a 5 foot length with diameter 2 inches costs $48.00 , how much will a 19 foot length with 3 inches diameter cost?

Answers

Answer:

$273.60

Step-by-step explanation:

The cost of stainless steel tubing varies jointly as the length and the diameter of the tubing.

i.e [tex]C\propto L\cdot D[/tex]

i.e [tex]C=k\cdot L\cdot D[/tex]

A 5 foot or 60 inches length with diameter 2 inches costs $48.00, so

[tex]\Rightarrow 48=k\times 60\times 2[/tex]

[tex]\Rightarrow k=\dfrac{48}{60\times 2}=0.4[/tex]

Now the equation becomes,

[tex]C=0.4\cdot L\cdot D[/tex]

So the cost of a 19 foot or 228 inches length with 3 inches diameter is,

[tex]C=0.4\times 228\times 3=\$273.60[/tex]

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