Natalia wants to put a decorative edge around her flower bed. She already has 4 feet of edging, but she needs enough to edge 95 feet. The edging material comes in rolls 7 feet long.
Write and solve an inequality to find the number of rolls Natalia needs?

Answers

Answer 1

Answer:

91 ft ≤ (7 ft)n   or   n ≤ 13

Step-by-step explanation:

total amount of edging is

e(n) ≤ 4 ft + (7 ft)n  

This inequality relates the total length of edging to the number of 7 ft rolls needed.

If Natalia needs 95 ft of edging, we write e(n) ≤ 4 ft + (7 ft)n  as

95 ft ≤ 4 ft + (7 ft)n

which simplifies to

91 ft ≤ (7 ft)n   or   n ≤ 13

Natalia must purchase 13 rolls.  This, combined with the initial 4 ft of edging, will be just the right amount of edging to complete the job.


Related Questions

The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?

please answer asap

Answers

Answer: If the a and b of your formula mean how many hours it takes each

person, like a = 2 and b = 1, then the formula gives 3/2 or 1 hour and

30 minutes.  This is not reasonable, since one of the painters alone

could do it in 1 hour.  

Actually, your formula is UPSIDE DOWN. It should be (a*b)/(a+b).

Here's why.  

Let h be the number of hours it takes for the two of them to do it

together. The first person could do it all in a hours, but can paint

only a fraction of the wall working h hours. Assuming a constant rate

of painting, that fraction is h/a. That is, the first painter will

paint h/a of the wall in h hours.  

Similarly, the second painter will paint h/b of the wall in that time.

So, when will they be done? When the whole wall is painted, which

happens whenever those 2 fractions add up to 1.  

You need to solve the following equation:

 (h/a) + (h/b) = 1  

     h*b + h*a = a*b           Multiplying through by a*b

       h*(b+a) = a*b           Factoring out h

             h = (a*b)/(a+b)   Dividing both sides by b+a

Okay, now say 3 painters could do it in a hours, b hours or c hours,

respectively. Let h be the number of hours they all must work to get

it all painted. The first painter finishes h/a of the wall in that

amount of time. The other 2 painters manage to paint h/b of the wall

and h/c of the wall in that time.  Since h is the time to finish the

job, all 3 of these fractions must add up to the whole wall, or 1.  

So you have the equation:

   

       h     h     h        

      --- + --- + ---  =  1

       a     b     c    

 

Solve this for h (start by multiplying through by a*b*c) and you will

get the generalized formula for 3 painters. It's not the formula you

wrote above but I think you can finish it off.

 

(I hope this helps. I'm sorry if it's wrong)

Does anyone know? How to do this?

Answers

Answer:

4 operations b/c thats how many is in the box

them you do addition using PEMDAS( perinthasis exponets multiplication division addition subtraction hope this is helpful

Step-by-step explanation:

hellllllllllllllllp points if you answeer correctly

Answers

Answer:

the answer will be [-3/4,1/2]

Step-by-step explanation:

LAST ONE !!! Ok here

Answers

Answer:

Market economy

Step-by-step explanation:

Once again this is because they are changing their prices and items for sale because of the changes in market.

Find the value of this expression if x = 5 and x=2
xy^2 / -3

Answers

Answer:

-20/3

Step-by-step explanation:

here x=5 and y=2 then put the value and get answer.

What is the value
14x +18 = 118

Answers

Answer:

[tex]x = 7.142(appx)[/tex]

Step-by-step explanation:

[tex]14x + 18 = 118[/tex]

[tex] = > 14x = 118 - 18 = 100[/tex]

[tex] = > x = \frac{100}{14} = \frac{50}{7} = 7.142(appx)[/tex]

can u pls help with this question ​

Answers

Answer:

noooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

Answers is probably C

If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?

Answers

Answer:

No

Step-by-step explanation:

30% of $75 is $22.50 (0.3×75=22.5)

$75+$22.50=$97.50, not $100

So, the store did not mark up the price by 30% because the original price ($75) plus 30% more does not equal $100.

Answer:

no

Step-by-step explanation:

write 4/7 as a percentage, to 2 decimal places.


Please help!

Answers

Answer:

57.14%

Step-by-step explanation:

To convert any fraction to a percentage you need to multiply it by 100

So,

4/7*100= 57.14 (round it off to two decimal places as the question states)

What is the solution to the system of equations?

Answers

Answer:

a

Step-by-step explanation:

a

Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow.

Answers

Answer:

Step-by-step explanation:

Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow. Cash receipts Cash payments July $ 24,600 28,900 August $32,600 30,600 September $ 40,600 32,600 Prepare a cash budget for July, August, and September. (Negative balances and Loan repayment amounts (if any) should be indicated with minus sign. Round your final answers to the nearest whole dollar.) KARIM CORP. Cash Budget For July, August, and September July August $ 9,000 September Beginning cash balance Total cash available Preliminary cash balance Ending cash balance Loan balance $ 0 Loan balance - Beginning of month Additional loan (loan repayment) Loan balance - End of month

Find the value
If a=4 b=7, and c=-5
3c

Answers

Answer:

=-15

Step-by-step explanation:

3c

3(-5)

3×-5

=-15

The answer to this is =-15

The model y=1.8x−76.9 represents the relationship between the temperature (°F) and the number of ice cream cones sold. Using the model, approximate the temperature when there are 95 ice cream cones sold. Round your answer to the nearest tenth.

Answers

Answer: 75.1

Step-by-step explanation:

Answer:

86.0*

Step-by-step explanation:

i am not 100% sure

Here is a probability scale:
0
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

There are 3 white counters and 1 black counter in a bag.
I take one of the counters at random.
Put a cross on the probability scale to show the probability
that I have chosen the black counter.

Answers

Answer:

0.25

Step-by-step explanation:

3 white counters and 1 black counter,

3+1 = 4

the chances of you choosing the black counter is 1/4

1/4 can also be written as 0.25.

Answer:

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

Step-by-step explanation:

Probability is the likeliness of occurrence of an event.

Given

There are three white and 1 black counter in the bag which means our sample space contains 3+1 = 4 elements

n(S) = 4

Let B be the event that the drawn out counter is black. As there is only one black counter

n(B) = 1

The probability of choosing a black counter is:

[tex]P(B) = \frac{n(B)}{n(S)}\\P(B) = \frac{1}{4} = 0.25[/tex]

Hence,

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

convert 360m/s to km/h​

Answers

Answer: 579.36 km/h miles  to kilometers

  1296 meters to kilometers

Step-by-step explanation: couldnt  tell what you meant so both

 


D
E
F
Using the Pythagorean Theorem, which of the following is true?

Answers

Answer:

D

Step-by-step explanation:

Using only the values given in the table for the function, f(x)=x^3-3x-2,
what is the interval of x-values over which the function is decreasing ?

Answers

It’s decreasing from -1 to 1.

Independent random samples of released prisoners in the fraud and firearms offense categories yielded the given information on time served in months. At the 1% significance level, do the data provide sufficient evidence to conclude that the meantime served for fraud is less than that for firearms offenses? Assume that populations standard deviations are the same for both groups. (i.e., we assume σ1 = σ2 .)

Answers

Answer:

Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.

Step-by-step explanation:

Fraud                                        Firearm

15.2      9.2                              20.1          15.7

11.2       15.8                             20.4          9.8

7.2         5.2                             13.1           13.5

7.7         4.9                            20.7           23.1

7.4        9.8                            10.4            22.2            

∑ 93.6                                             169                    

Fraud  (X1i)²                                      Firearm(X2j)²

231.04      84.64                           404.01          246.49

125.44      249.64                          416.16          96.04

51.84        27.04                            171.61           182.25

59.29       24.01                            428.49           533.61

54.76        96.04                            108.16           492.84

∑1003.79                                                  3079.66          

We formulate the null and alternative hypothesis as

H0: μ1 - μ2 ≤ 0 i.e. the fraud meantime is less than that for firearms offenses.

Ha: μ1-  μ2  > 0  i.e. the fraud meantime is greater than that for firearms offenses.

We set the significance level at ∝= 0.01

The test statistic, if  H0 is true , is

t=  x1`1- x`2/ Sp√1/n1+ 1/n2

which has a student t- distribution with ν= n1+ n2 -2 = 18 degrees of freedom

The critical region consists of all t- values which are greater than or equal to  t> t(0.01)(18)= 2.522

Computations :

X1`= ∑X1i/n1 = 93.6/10= 9.36

X2`=∑X2j/n2=169/10 = 16.9

∑( X1i- x`1)² = ∑X1i²- (∑X1i)²/n1

= 1003.79 - 876.096/10

= 100.379- 87.6096

=12.7694

∑( X2j- x`2)² = ∑X2j²- (∑X2j)²/n2

= 3079.66 - 28561/10

= 3079.66- 2856.1

=223.56

Sp²= 12.7694+223.56/18= 13.129

Sp = √13.129 =3.623

t= 9.36-16.9/ 3.623√0.1+0.1

t= -7.54/ 1.62

t= -4.654

Conclusion: Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.

The meantime served for fraud is less than that for firearms offenses.

please explain steps

Answers

Answer:

122º

Step-by-step explanation:

The interior angles of a heptagon add to 900º. We can write an equation and solve:

(12x-9)º+(9x+14)º+(133)º+(10x+9)º+(10x)º+(136)º+(10x+5)º=900ºCombine like terms, 51xº+288º=900ºSubtract, 51xº=612ºDivide, xº=12º

Now that we know x, we can find the measure of ∠B:

∠B=9(12)+14=108+14=122º

Identify the graph that displays the speed of a car accelerating onto a highway until it reaches the speed limit, and then continuing on the highway at the speed limit. ​

Answers

Answer: D

Step-by-step explanation:

Graph D shows the car increasing speed over time, then, the flat line shows the car remains at a constant speed. In order for the scenario to apply, there needs to be a line parallel to the x-axis which shows a speed remaining the same over a given amount of time. D is the only graph which has this feature, thus this graph displays the scenario.

9.6x10^85/3x10^63 in scientific notation

Answers

Answer:

3.27*10^22

Step-by-step explanation:

Given the expression 9.6x10^85/3x10^63, we are to write it on scientific notation as shown:

9.6x10^85/3x10^63

= (9.8/3) * (10^85/10^63)

= (9.8/3)  * 10^{85-63}

= (9.8/3) *10^22

= 3.27 *10^22

Hence the expression in scientific notation is  3.27*10^22

There are 252525 students in Ms. Nguyen's second-grade class. In the class election, 444 students voted for Benjamin, 121212 voted for Sahil, and 999 voted for Maria.

Answers

Answer:

What is the question?? The question is not there

Answer:

129870 did not vote or voted for someone else.

Step-by-step explanation:

I don't know what your asking

A line passes through the point (2,3) and has a slope of 0, what equation of the line?

A: y=2
B: y=3
C: x=2
D: x=3

Answers

Answer: B

Step-by-step explanation: put the points on a graph

A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 11/4 feet long. What is the maximum number of the smaller pieces of wire that can be cut from the original piece of wire?

Answers

Answer:

1

Step-by-step explanation:

Take 4 1/2 and turn it into just halves by multiplying 4•2 and then adding it to one. 9/2 then multiply that by 2 because you need the denominator to be 4 getting 18/4. Then subtract 11/4 you end up getting 9/4. So technically you have 2 pieces but if you want them both to be 11/4 you only have one

NEED ANSWER ASAP- FINALS
Which type of function best models the data in the table? Use differences or ratios.

Choose the correct answer below.
• Exponential model
• Linear model
• None
• Quadratic model

Answers

An exponential model would work best. There is no constant rate of increase, ruling out a linear model. Additionally, there is not increasing-decreasing trend between the y values, ruling out a quadratic model. There is a considerable increase in the units it takes to transition from one unit of x to another unit of x. For example, going from x = 1 to x = 2, it takes 16.5 units. However, when going from x = 2 to x = 3, it takes 27.5 units. This difference in numbers keeps increasing exponentially, not at a constant rate, therefore an exponential model would work best.
I have been overthinking this and it’s none

Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).​

Answers

Answer:

Please Mark as Brainliest!!!!!!

Step-by-step explanation

In an auditorium, there are 21 seats in the first row and 29 seats in the second row. The number of seats in a row continues to increase by 8 with each additional row. How would you find the 100th row?

We can take this as an arithmetic sequence, as the seats in next row is calculated by adding 8 to previous row

So here common difference will be 8

the first term is 21

the arithmetic sequence is given by:

Putting the values of a1 and d

for 100th row,

Putting n=100

3. The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first week of exercising.

Give the rule you would use to find the 20th week.

Given sequence is:

6, 18, 54, 162, …

we can see that the common difference is not same so we will find the common ratio

The given sequence is a geometric sequence as are the same for consecutive terms

The geometric sequence is given by:

Hence,

2. Seats in 100th Row = 813

3. Rule is:

Keywords: Sequence, ratio

Answer:

see explanation

Step-by-step explanation:

The sequence is

22, 28, 34, ....

Since there is a common difference of 6 the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

a₁ is the first term and d the common difference

Here a₁ = 22 and d = 6, then

[tex]a_{n}[/tex] = 22 + 6(n - 1) = 22 + 6n - 6 = 6n + 16

Equate to 100 and solve for n

6n + 16 = 100 ( subtract 16 from both sides )

6n = 84 ( divide both sides by 6 )

n = 14

Thus the 14 th row has 100 seats

Is this true or false ??

Answers

I believe the answer is true

Find the smallest positive four-digit number that is divisible by each of the four smallest prime numbers.

Answers

Answer:

It might be 1,050. Also can't believe thats a college question-

It was very easy to solve! Help from an 8th grader here.

Step-by-step explanation:

The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.

What is the divisibility rule?

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

The four smallest prime numbers are 2, 3, 5, and 7.

To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.

To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:

2 = 2 x 1

3 = 3 x 1

5 = 5 x 1

7 = 7 x 1

Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:

LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹  = 210

Since we want the "smallest 4-digit number", then it is:

210 x 5 =1050

Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.

Learn more about the divisibility rule here:

brainly.com/question/10703980

#SPJ2

Charlie threw a ball up in the air modeled by the function f(x)=−x2+2x+4. Elizabeth release a balloon at the same time, represented by g(x)=2x. At what time do the paths cross and at what height?

Answers

Answer:

after 2 secs

Step-by-step explanation:

The paths crossed at when the height are equal i.e when f(x) = g(x)

Given

f(x)=−x^2+2x+4

g(x) = 2x

IF f(x) = g(x), then;

−x^2+2x+4 = 2x

−x^2+2x+4 - 2x = 0

−x^2+4 = 0

-x^2 = -4

x^2 = 4

x = ±√4

x = 2 and -2

Time cannot be negative

Hence x = 2

The path crossed after 2 seconds

Use variables to write an equation that represents the relationships between the time x and the distance y.
An eagle flies 40 miles per hour.
An equation that represents the relationships is y = ?

Answers

Answer: y = 40x

Explanation:

Distance = Velocity x Time

In this case:
y represent distance
x represent time
40mi/hr is the velocity

Therefore, y = 40x

An equation that represents the relationships between the time x and the distance y is y = 40x.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

An eagle flies 40 miles per hour.

An equation that represents the relationships between the time x and the distance y:

Here, x and y are the variables.

So, the equation,

y = 40x.

Therefore, y = 40x is the required equation.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ5

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A student is asked to write a critique of this excerpt from utopia. Which is a critique of the excerpt? A gold earrings are given to enslaved people and seen as a cause for shame.B the effects of slavery are much worse than the effects of materialism.C to show their disdain for gold and silver, utopians use them for chamber pots.D utopians make a great effort to treat precious metals for everyday purposes. decide whether the rates are equivalent.24 laps/6 minutes72 laps/18 minutes An electrician is hired to install a ceiling fan. She estimates that the installation will take no more than 45 minutes if the house is up to building code. If the house is not up to building code, she estimates that the installation will take longer than 120 minutes. Which graph represents the number of minutes it could take her to install the fan? I need help on either question you can answer. Thank you god bless Type the correct answer in the box. Use numerals Instead of words. Consider the function shown on the graph. 8 8 02 4 2 2 X -10-8 -6 0 2 N- 6 6 8 10 -2 -4 -6 -8 Complete the statements to make them true,domain x >range y > I need help pleas I need it please please please free 50 points free 50 pionts What is the job of the Electoral College? the acceleration due to gravity of the moon is 1.67 Select the correct answer.The words courageous and gracious share the same suffix, -ous. What is the correct meaning of this suffix?A. ableB. withoutC. full ofD. too littleE. again What could be the value of x in the number sentence? 6 + x < 10 Is the Andrean mountain chain in Central or South America? pls help me with this Give reason:a) In 'coin on card' experiment a smooth card is used. Why did most Quakers not take sides during the American Revolution? write an essay about important of forest. On May 16, Thorne Co. declares a $0.40 dividend to be paid on April 5. Thorne has 2,060,000 shares of common stock issued and outstanding. The entry recorded by the company on May 16 includes a debit to: Multiple Choice Dividends Payable and a credit to Cash for $824,000. Dividends and a credit to Dividends Payable for $824,000. Dividends Payable and a credit to Cash for $781,600. Dividends and a credit to Dividends Payable for $781,600 In an experiment, what responds to the change of the independent variable? A cell contains the same DNA as its parent cell. This is a result of which process?mitosismeiosisgamete formationfertilization Please solve step by step!In the first six lines, circle all the uses of the words it and thing. What is it? How is it described?When it is finally ours, this freedom, this liberty, this beautifuland terrible thing, needful to man as air,usable as earth; when it belongs at last to all,when it is truly instinct, brain matter, diastole, systole,5 reflex action; when it is finally won; when it is morethan the gaudy mumbo jumbo of politicians:this man, this Douglass, this former slave, this Negrobeaten to his knees, exiled, visioning a worldwhere none is lonely, none hunted, alien,10 this man, superb in love and logic, this manshall be remembered. Oh, not with statues rhetoric,not with legends and poems and wreaths of bronze alone,but with the lives grown out of his life, the livesfleshing his dream of the beautiful, needful thing. can someone help me out? (serious answers only)