Sabrina has a rug with a perimeter of 18 feet. She decides to place a border around the rug so that the new length of the rug is 8 feet and the width is 4 feet. The border is the same width all the way around. A rectangle has a length of 8 feet and width of 4 feet. The equation which represents x, the width of the border is 2 (8 minus 2 x) + 2 (4 minus 2 x) = 18. What is the width of the border? Three-fourths ft 1 and one-half ft 1 ft 3 ft

Answers

Answer 1

Answer:

3/4 ft.

Step-by-step explanation:

2(8-2x)+2(4-2x)=18

16-4x+8-4x=18

-8x=18-24

-8x=-6

x=-6/-8

x= 3/4

Answer 2

The width of the border is 3/4.

What is perimeter of rectangle?

The perimeter of rectangle is, P= 2(l + b).

Given:

length= 8 feet, width = 4 feet

2(8-2x)+2(4-2x)=18

16-4x+8-4x=18

-8x=18-24

-8x=-6

x=-6/-8

x= 3/4

Hence, the width of the border is 3/4.

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Related Questions

Math question down below

Answers

Answer:

2 3/8

Step-by-step explanation:

5 1/8 - 2 3/4

= 5 1/8 - 2 6/8

= 4 9/8 - 2 6/8

= 2 3/8

Wanda did 12 push-ups on Saturday, 24 push-ups on Sunday, 48 push-ups on Monday, and
96 push-ups on Tuesday. What kind of sequence is this?

Answers

Answer:

2x

Step-by-step explanation:

Each number is mutiplied by 2

Answer: it doubles

Step-by-step explanation: 12+12= 24, 24+24= 48, 48+48=96

Stewart purchased 15/20 gallons of juice for his party. Guests drank 9/20 gallons, so how much juice is left?

Answers

Answer:

Step-by-step explanation:

6/20 Gallons

Answer:

[tex]\frac{3}{10}[/tex].

Step-by-step explanation:

To do this, we will need to subtract fractions.

[tex]\frac{15}{20}-\frac{9}{20}=\frac{6}{20} =\frac{3}{10}[/tex] (Simplified)

Please help ASAP will mark brainliest

Answers

the points are (1,8) :)

What is the value of x in the equation.
2/3(1/2x+12)=1/2(1/3x+14)-3?
A:-24
B:-6
C:-2/3
D:0

Answers

Answer:

A

Step-by-step explanation:

Our equation is:

[tex]\frac{2}{3} *(\frac{1}{2} x+12)=\frac{1}{2} *(\frac{1}{3} x+14)-3[/tex]

Let's first distribute the left side. When distributing, we essentially find the sum of the product of the outside term with each of the inside terms. Here, the outside term is 2/3 and the inside terms are 1/2x and 12. So:

[tex]\frac{2}{3} *(\frac{1}{2} x+12)=\frac{2}{3} *\frac{1}{2} x+\frac{2}{3} *12=\frac{1}{3} x+8[/tex]

Now distribute the right side. Here, the outside term is 1/2 and the inside terms are 1/3x and 14, so:

[tex]\frac{1}{2} *(\frac{1}{3} x+14)-3[/tex]

[tex]\frac{1}{2} *(\frac{1}{3} x+14)-3=\frac{1}{2} *\frac{1}{3} x+\frac{1}{2} *14-3=\frac{1}{6} x+7-3=\frac{1}{6} x+4[/tex]

We now have:

[tex]\frac{1}{3} x+8=\frac{1}{6} x+4[/tex]

Isolate the variable by bringing 1/6x to the left and bringing 8 to the right:

[tex]\frac{1}{3} x-\frac{1}{6} x=4-8[/tex]

[tex]\frac{2}{6} x-\frac{1}{6} x=-4[/tex]

[tex]\frac{1}{6} x=-4[/tex]

x = -4 * 6 = -24

The answer is A.

Steps to solve:

2/3(1/2x + 12) = 1/2(1/3x + 14) - 3

~Distribute

1/3x + 8 = 1/6x + 7 - 3

~Combine like terms

1/3x + 8 = 1/6x + 4

~Subtract 1/6x to both sides

1/3x + 8 - 1/6x = 1/6x + 4 - 1/6x

~Simplify

1/6x + 8 = 4

~Subtract 8 to both sides

1/6x + 8 - 8 = 4 - 8

~Simplify

1/6x = -4

~Multiply 6 to both sides

1/6x * 6 = -4 * 6

~Simplify

x = -24

Best of Luck!

The image of a triangle after it has been dilated with a center of dilation at the origin has vertices at A prime(12, –6), B prime(–24, –12), and C prime. If the pre-image of B prime, point B, has coordinates of (–18, –9) and the pre-image of C prime, point C, has coordinates of (–13.5, 18), which statements are true? Check all that apply. The coordinates of C prime are (27, 18). The coordinates of C prime are (–18, 24). The scale factor is 1 and one-third. The scale factor is 1 and one-fifth. The scale factor is Three-fourths. The coordinates of A are (16, –8). The coordinates of A are (9, –4.5).

Answers

Answer:

C is (-18, 24)

Scale factor --> 1 1/3

A is (9, - 4 1/2)  *4 1/2 is also 4.5

Brainliest please, I need a few more :D

The true statement are; The coordinates of C prime are (–18, 24). The scale factor is 1 1/3 . The coordinates of A are (9, –4.5).

How to find if a pair of figure is not dilated version of each other?

Dilation of a figure will leave its sides get scaled (multiplied) by same number.

Thus, suppose if a rectangle is dilated, and its sides were of length = L and width = W, then its dilated version would be having length = Ln, and width = Wn where n is the factor of scaling.

At image B (-24, -12) and pre image B (-18, -9),

we can work out the scale factor by (-24/-18) and (-12/-9) both equal 4/3

Using the scale factor to go from the pre image to the image,

We can find C coordinate by pre image C by the scale factor.

C is (-13.5 x 4/3) and (18 x 4/3)

C is (-18, 24)

So, The scale factor is 4/3, which is the mixed numeral of 1 1/3.

To find the pre image of point A;

A is (12/(4/3)) and (-6/(4/3))

A is (9, - 4 1/2)

Hence, the true statement are;

The coordinates of C prime are (–18, 24).

The scale factor is 1 1/3 .

The coordinates of A are (9, –4.5).

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ultiply (3x2 + 2x – 3)(–x2 + 4x – 1).
Question 18 options:

A)

–3x4 + 8x2 + 3

B)

–3x4 + 10x3 + 8x2 – 14x + 4

C)

3x4 – 10x3 – 8x2 + 14x – 3

D)

–3x4 + 10x3 + 8x2 – 14x + 3

Answers

Step-by-step explanation:

-3x4 + 12x3 - 3x2 - 2x3 + 8x2 - 2x + 3x2 - 12x + 3

Solving like terms

-3x4 + 10x3 + 8x2 - 14x + 3

Option D is the correct answer

what is 12,447 in Scientific notation

Answers

Answer: [tex]1.2447 * 10^4[/tex]

Step-by-step explanation:

1.2447 × [tex]10^4[/tex]

( scientific notation )

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point.

Answer:

1.2447 x 10^4

Step-by-step explanation:

The answer would be 1.2447 times 10 to the fourth power because to find the first part (1.2447), move the decimal place one place to the right. (.12447-> 1.2447)

Next, count how many places are to the right of the decimal.

1.2447 = 4

So, that would get you 1.2447 times 10 to the power of 4.

Someone help me with this pls

Answers

Answer: You Would have To know How Far it will go In the next 60 min. (c

Step-by-step explanation:

Answer:The answers are down there.

Step-by-step explanation:

A) The speed of the train on the last section is  20miles/ 30 minutes  which 0.66 miles per minute.

B) It traveled the fastest from 50 to 60 minutes or 30 miles to 60 miles.

C) The train will travel 60 miles in 60 minutes.

D)The train stopped for  20 minutes during the journey.

Part of the population of 6,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 5 of them are infected. How many elk are likely to be infected?

Answers

Answer:

625

Step-by-step explanation:

6250/50=125

125*5=625

Simplify.

8(12 - p)

20 - (8+p)
96 - 8p
96 - p
96p

Answers

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

Please help!! Thanks!

Answers

Answer:

C

Step-by-step explanation:

Find the volume of the cone whoever answers first gets brainiest!

Answers

Answer:

157.08

pi x radius x radius x height/3

Step-by-step explanation:

Answer:

V≈157.08

Step-by-step explanation:

I used the formula for a cone:

V=πr2h/3 (h/3 as in a fraction)

Find the length of DF

Answers

Answer:

7x-58

just add all the terms

3x-28+3x-30+x
7x-58 =33
7x=91
X=13
Soooo df= 6x-58
6*13-58=20
20 is the correct answer

The volume of the sphere is 904.32 m. To the nearest meter, what is the radius of the sphere????? Use 3.14 for pi.

Answers

Answer:

6

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Plugging in the values that you are given, you get:

[tex]904.32=\frac{4}{3}\pi r^3[/tex]

Dividing both sides by pi or 3.14:

[tex]288=\frac{4}{3}r^3[/tex]

Dividing both sides by 4/3:

[tex]216=r^3[/tex]

Taking the cube root of both sides:

[tex]r=6[/tex]

Hope this helps!

1
1) A basket contains four apples and four
peaches. You randomly select a piece of
fruit and then return it to the basket. Then
you randomly select another piece of fruit.
Both pieces of fruit are apples.
Are the events independent or dependent?
What is the probability?

Answers

Answer:

independent and 1/4

Step-by-step explanation:

it is independent because you replaced and that still kept the total outcomes.

1/2 times 1/2 which is 1/4

*place holder since picture has the work*

Answers

Answer:

A square.

Step-by-step explanation:

I plotted the points on Desmos and then connected them.

When connected, the lines form a square.

[Picture Below]

|n|=5 what is the value for n.

A -5or5
B 0 and 5
C -5 only
D 5 only

Answers

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5

You are making pudding. The recipe asks for 3/10 cup of sugar and you want to make 8/2 of the original recipe. How many cups of sugar will you need?

Answers

The answer to the question is 3

Answer:

6/5

Step-by-step explanation:

orginal recipe=8/2=4

Amt of sugar=3/10*4=12/10=6/5

Hope it helps, Pls mark as Brainliest!!!

"Just look at the graph," the player's agent said. "Phil's hits have doubled since last year. We are looking for a large raise
and a long contract."
Look at the graph
Phil's Hits
Thisyear
Last year
100 120 140 160 180 200
Is the agent's claim misleading? Why or why not?
a. No, the top line is twice the length of the bottom line showing that Phil has doubled his number of
hits
b. Yes, although one line is twice the length of the other, it does not show twice the number of hits.
c. Yes, the horizontal scale does not have uniform increments starting with zero.
d. Both b and c.​

Answers

Answer:

option d: both b and c is right option

Answer:

It is D on Edge

Step-by-step explanation:

20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!

How many 4-digit multiples of 5 are there?

please have a formula and don't just write them all out. Thanks.

Answers

Answer:

First 4-digit multiple of 5 is 1000. It is the least 4-digit number and it is multiple of 5.

Last 4-digit number is 9999 which is not a multiple of 5 and so are 9998, 9997, 9996. Largest 4-digit number which is multiple of 5 is 9995.

Number of 4-digit multiples of 5  = 9995 − 1000 /5 + 1 = 8995/ 5 + 1 = 1799 + 1 = 1800

Step-by-step explanation:

A number  x  is said to be a multiple of number  n  if  n  divides the number  x

. One important observation is if  x  is a multiple of  n  then the next multiple of  n  is  x + n

. Hence the multiples of number  n  occur in differences of  n

Suppose  x  and  y  are multiples of  n

. Number of multiples of  n  between  x  and  y

including them is given by  y − x  / n + 1

Because for every n numbers in between  x  and  y  there is a multiple of  n

Combination helps to know the number of ways objects can be arranged. The 4-digit numbers that are multiples of 5 are 1800.

What is a combination?

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

In order to make a 4 digit number divisible by five the number must end with either 5 or 0, and for the number to be a 4 digit number, it can not start with 0. therefore, the first place can be occupied by any number from 1 to 9, the second place can be occupied by any number from 0 to 9, the third number can be occupied by any number from 0 to 9, and the fourth number can be occupied by any number from 0 or 5. Thus, the possible options are,

[tex]= ^9C_1 \times ^{10}C_1 \times ^{10}C_1 \times ^2C_1\\\\= 9 \times 10 \times 10 \times 2\\\\= 1800[/tex]

Hence, the 4-digit numbers that are multiples of 5 are 1800.

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Look at the data points on the graph:
Is this relation a function?

Answers

I am pretty sure that it is a function. Every input has one output. Here is a memory device that my teacher gave us. Hopefully it helps!!

2. You deposit $1200 into a bank account. Every year that accounts increase by 15 %.
a) Identify whether this an Exponential Growth or Decay function and write the equation of the
function

Answers

Answer:

Exponential Growth, 1200(1.15)

Step-by-step explanation:

It is a Growth function because it is "increasing" yearly. The equation is multiplying with 1.15 because when it is increasing, you need to add 1 to the percentage rate.

help help!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

bottom right

Step-by-step explanation:

Your answer is the bottom right number line.

To answer this question we should first do the calculation 1/8 - (-3/4) to find out what the final answer should be:

To subtract fractions they must have a common denominator, so we’re going to multiply -3/4 by 2 to get -6/8. This will give us:

1/8 - (-6/8) = 1/8 + 6/8 = 7/8. (this turns into + because when you subtract a negative number the minus sign cancels out)

Therefore the correct answer must land on 7/8 on the number line, which is 1 mark away from 1 because each mark represents 1/8, so your answer is the number line in the bottom right.

I hope this helps!

Giving Brainliest if correct!!

Rihanna wants to purchase a dishwasher and is shopping around at different stores. Which two benefits can Rihanna get from using credit instead of cash for her purchase?

(You can pick more than 1)

1. She can receive a discount on the price if she uses credit instead of paying cash

2. She can use the dishwasher while paying for it over a period of time.

3. Her cost of purchase will decrease if she uses credit instead of cash

4. She can buy the dishwasher even if she doesnt have the money now to pay for it.

5. She wont need to pay taxes on the purchase.

Answers

Answer:

4,2 I'm pretty sure those are the correct ones

Step-by-step explanation:

credit means that you can buy anything you want but your not spending your money but eventually you will have to pay it back

so she can use the dishwasher while paying for it over a period of time and she can buy the dishwasher even if she doesn't have the money now to pay for it.

if she pays it with cash then she's using her money with the credit you have to pay it over time and if you don't pay the credit you will be in BIGG trouble so pay it!!

hope it helped!! :D

She can receive a discount on the price if she uses credit instead of paying cash. She can buy the dishwasher even if she doesn't have the money now to pay for it. Hence, Option A and C are the correct options.

What is loan?

A loan is a form of credit where a lender allows another party (the borrower) the use of money or property for a specified period of time.

Why does credit that offers long-term advantages exist?

If those conditions are met, a long-term loan can reduce the impact on operational cash flow, allow a debtor to borrow at a lower interest rate, reduce investor interference, and assist a business in establishing its credit worthiness.

Short-term loans are thus preferred for working capital, such as payroll, inventory, and seasonal imbalances, whereas long-term loans are typically used to purchase fixed assets, such as equipment.

Credit cards are more widely accepted and, in general, faster to use than checks. Bill payments via credit card can be made automatically, combining multiple payments into a single one.

By using a credit card with a rewards programme, you could earn rewards such as free travel.

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PLEASE HELP - Which of these graphs represents a nonlinear function ?

Answers

Figure 3

Step-by-step explanation:

figure 3 because the line is not straight

Three people hiked the same 1 mile trail. The distance for each hiker is reperesented in the drawing. Show about where the 1 mile mark should be on each drawing.Explain​

Answers

Answer:

Okay, so for the first line, measure the distance between the start and the 0.5 miles. Then add that distance to the other side of the 0.5 miles and then put a mark.

For the second one measure the distance between the start line and the 0.25 miles and then add that distance to the other side three more times and then put a mark.

And for the last one, use the distance that you used for the second one and put it after the 0.75 mark.

Step-by-step explanation:

Number 5 Is the question I’m talking about

Answers

you have nice hand writing :)

Shades R Us charges $20 per day to rent a lounge chair and $15 per day to rent an umbrella. Dan and Lisa paid a total of $245 to rent a lounge chair and umbrella each during their vacation. Lisa rented the chair and umbrella for 1 day less than Dan. The following equation represents this situation, 20x+15x+20(x-1) = 245. What is the total amount Dan paid to rent the lounge chair and umbrella during his vacation

Answers

Answer:

$151.88 costs to Dan algebraic form

$245/2 = $122.50+20+15 = 157.5 is the answer though.

Step-by-step explanation:

35x+20(x-1)

35x + (20x -1)

35x +20x -1

35x -20x-20

x= 53/11

53/11 = 4.81

4.81 x 20 = $96.20 on chairs

4.81 x 15 = 72.15 on umbrella

96+72 = 168.35

245-168.35 = 76.65

76.65 + 20 = 96.65

Because we subtracted to get 168.35 we have the difference of $15 which is the difference of what he and she paid we half this amount = $7.50 half the 0.45 additional found on Dans $96.65 = $0.22 and find $7.72 balance to add to his 96.20

Added together his costs out of 245 was $104.37+ 76.65 = $181.20

Costs of umbrella = 76.65/2 = 39.325

181.20 -29.325=151.87 rounded up to 151.87

As x = 53/11 the decimal of this is 4.81 = x

What is the surface area of the square pyramid represented by the net below

Answers

Answer:there is no "net below"

Step-by-step explanation:

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