You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more than 48ft. Of trim of the banner. What are the possible widths of the banner?

Answers

Answer 1

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

[tex]Perimeter = 2 \times (Length + Width)[/tex]

Putting the values of perimeter and length to find the value of width.

[tex]48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}[/tex]

So, width possible is 6ft.


Related Questions

Given the function f(x) = -x^2 +7x + 6, find the interval(s) in which f(x) is decreasing.

Answers

Answer:

Step-by-step explanation:

f'(x)=-2x+7

f(x) is decreasing if '(x)<0

so -2x+7<0

or 7<2x

or 2x>7

or x>7/2

including end points f(x) is decreasing in [3/2,∞)

What is the value of x in the equation below? Negative 3 minus (negative 8) minus (negative 2) = x –13

Answers

please make me as brainliest

Answer:

A

Step-by-step explanation:

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In 40 baseball games, Juan's team has
scored 50 runs. If the team continues at
this rate, how many runs could the team
expect to score in 180-game season?
II

Answers

Answer:

225 runs

Step-by-step explanation:

180/40 = 4.5

50 × 4.5 = 225

50 runs divided by 40 baseball games.
50/40 = 1.25
It’s an average of 1.25 run per game

1.25 x 180 games
= 225 runs

Which expressions are equivalent to 4(4a+5

Answers

Answer:

4(4a+5) = 16 a + 20 = True

Step-by-step explanation:

Translate and solve:
The product of a number
and -8 is more than 64

Answers

Answer:

x < -8

Step-by-step explanation:

Step 1: Translate

Product = multiplication = -8(x)

More than = >

64 = 64

Step 2: Write out inequality

-8x > 64

Step 3: Solve

x < -8

bob makes $6 dollars and hour. write an expression that will represent his total pay for h hours of work

Answers

Answer:

y = 6x

Step-by-step explanation:

pay = $6 per hour

y = 6x

Answer:

total pay = 6h

Step-by-step explanation:

total pay =  pay per hour *hours worked

total pay = 6h

In the formula d = r x t, d is the distance traveled and t is the time traveled. If d = 63 and t = 9, then r =

Answers

Answer:

7

Step-by-step explanation:

D=r*t

r=d/t

r=63/9

r=7

Use the diagram below to find the value of x
{NO} =17
{NP} =5x-6

Answers

Answer : The value of 'x' is 8.

Step-by-step explanation :

As we are given that :

NO = 17

NP = 5x - 6

From the given diagram we conclude that NO and OP are equal and RO and OQ are equal. That means,

NO = OP and RO = OQ

That means,

NO = OP = 17

And we know that:

NP = NO + OP

So,

5x - 6 = 17 + 17

5x - 6 = 34

5x = 34 + 6

5x = 40

x = 8

Thus, the value of 'x' is 8.

PLEASE HELP!!! WILL MARK BRAINLIETST!!! THANK YOU SO MUCH!!!!

Answers

Answer:

1. x=2 2. x=23

Step-by-step explanation:

1: 7(x+3) = 39-2x

7x+21 = 39-2x

9x=18; x=2

2. 2x-5 = 1/2(3x-13)

2x-5 = 1.5x-13/2

0.5x=11.5; x=23

What is the difference between (-5) to the second power to -5 to the second power

Answers

Answer:

the negative

Step-by-step explanation:

if you do -5 to the second power it will give you -25 and if you do (-5) it will give you 25.

Write an expression to represent the product of -3 and the square of a number decreased by 8.
How many terms are in your expression?
4
3
2.
1

Answers

Answer:2

Step-by-step explanation:

The expression contains two terms .

What is expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

According to the question

The product of -3 and the square of a number decreased by 8

i.e ,

Let  square number = [tex]x^{2}[/tex]

=>  -3[tex]x^{2}[/tex]-8

Hence, The expression contains two terms -3[tex]x^{2}[/tex] and -8 .

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How do I do? What is the answer and why

Answers

Answer:

Step-by-step explanation:

∠ADE =  74   {Vertically opposite angles are equal}

∠AED + 127 = 180  {Straight line }

∠AED = 180 - 127

∠AED = 53

In ΔADE,

∠DAE + ∠AED + ∠ADE = 180 {angle sum property of triangle}

∠DAE + 53 + 74 = 180

∠DAE + 127 = 180

∠DAE = 180 -127

DAE = 53

Fractions: three oil tankers together contain 37 5/7 litres of oil. If two tankers have 11 3/14 litres and 12 3/7 litres of oil. Find the oil in the third tanker

Answers

Step-by-step explanation:

It is given that, three oil tankers together contain 37 5/7 litres of oil.

Total volume of oil is [tex]\dfrac{264}{7}\ L[/tex]

If two tankers have 11 3/14 litres and 12 3/7 litres of oil.

Oil in first tanker is [tex]\dfrac{157}{14}\ L[/tex]

Oil in second tanker is [tex]\dfrac{87}{7}\ L[/tex]

Oil in first and second tanker is :

[tex]\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L[/tex]

Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )

[tex]=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L[/tex]

Hence, this is the required solution.

D is the midpoint of AB. If AD=2x+11 and DB=4x-5, find the value of x and AB

Answers

Answer:

x = 8

AB  = 54

Step-by-step explanation:

AD = DB

2x+11 = 4x-5

11 = 2x - 5

16 = 2x

8 = x

2(8) + 11 =

16 + 11 = 27



2ab - ab + 2a + 3b + 2ab
what is this simplified ?

Answers

Answer: The answer is 3ab + 2a + 3b.

Step-by-step explanation:

So we are given this equation:

2ab - ab + 2a + 3b + 2ab

First we have to add like terms:

2ab + 2ab - ab + 2a + 3b

4ab - ab + 2a + 3b

3ab + 2a + 3b

Here is your answer!

2ab - ab = ab
ab + 2ab = 3ab

3ab + 2a + 3b is the answer

Point estimate is Select one: a. A statistical that estimates a population parameter b. A range of possible values for a population parameter. c. Always equal to the number or samples d. Equal to the population mean

Answers

Answer:

a. A statistical that estimates a population parameter

Step-by-step explanation:

A point estimate is a mathematical or statistics term that describes that is used as a means of revealing an estimated value of some parameter. It utilizes a single value, which can sometimes be the statistic mean to carry out the process of point estimation.

Hence, in this case, the correct answer is Option A: A statistical that estimates a population parameter

Find the volume of the cone.
Either enter an exact answer in terms of or use 3.14 for radius is 6 height is 8

Answers

Answer:

Hey there!

Cone formula: [tex]\pi[/tex]hr^2/3

Plugging in the values, we get the volume is 301.59

Let me know if this helps :)

Answer:

96π

301.59

Step-by-step explanation:

The volume of a cone can be calculated using the following formula:

[tex]V=\frac{1}{3}bh[/tex]

b is the base and h is the height. The base formula for a circle (area):

[tex]b=\pi r^2[/tex]

Insert this value into the formula:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

Simplify the formula:

[tex]V=\frac{\pi r^2h }{3}[/tex]

Now insert the known values:

[tex]V=\frac{\pi(6)^2(8) }{3}[/tex]

Simplify:

[tex]V=\frac{\pi*36*8 }{3}\\\\V=\frac{288\pi }{3}\\\\V=96\pi[/tex]

The volume is 96π units³ or 301.59 units³.

:Done

Simplify the expression 9/(-3)+4/(-8)

Answers

Answer:

21/(-6)

Step-by-step explanation:

9/(-3) + 4/(-8)            [find the common denominators]

72/(-24) + 12/(-24)

84/(-24)                    [simplify]

21/(-6)

Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen. Which equivalent number(s) does this represent? Select all that apply.

-0.00018
1.8 × 10 -4
18 × 10 4
0.00018
1800

Answers

Step-by-step explanation:

It is given that the result displayed on the calculator screen is [tex]1.8E 10^{-4}[/tex]. We need to say out of all options, which options represent the equivalent number.

[tex]1.8\times 10^{-4}=\dfrac{1.8}{10^4}\\\\=\dfrac{1.8}{10000}[/tex] .....(1)

Option (2) is correct i.e. [tex]1.8E10^{-4}=1.8\times 10^{-4}[/tex]

From eq2uation (1)

[tex]\dfrac{1.8}{10000}=\dfrac{18}{100000}\\\\=0.00018[/tex]

Option (4) is correct.

two complementary angles have a difference of 36°. Find the measure of each angle. (Complementary angles are angles that add up to 90°) Show ur work

Answers

Answer:

27°,63°

Step-by-step explanation:

Let the two angles be a and b.

They are complementary, meaning they add up to 90. Thus:

[tex]a+b=90[/tex]

And we are told their difference is 36. Therefore:

[tex]a-b=36[/tex]

Solve for the system of equations. Add b to both sides in the second equation:

[tex]a=b+36[/tex]

Substitute this into the first:

[tex](b+36)+b=90[/tex]

Combine like terms;

[tex]2b+36=90[/tex]

Subtract 36:

[tex]2b=54[/tex]

Divide by 2:

[tex]b=27[/tex]

So, b is 27 degrees.

Use the second equation again:

[tex]a-b=36[/tex]

Now that we know b is 27, substitute:

[tex]a-27=36[/tex]

Add 27 to both sides:

[tex]a=63[/tex]

So, a is 63 degrees.

And we're done :)

Answer:

27 and 63

Step-by-step explanation:

x - y = 36

x + y = 90

add the equations together

2x = 126

x = 63

substitute x for x in the first equation

63 - y = 36

y = 27

Solve 9/11 + 3/13 × 26/33 - (21/121÷ 71/111

Answers

refer to the attached image

The value of the give expression is, 6260/8591

What is expression?

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression,  9/11 + 3/13 × 26/33 - (21/121÷ 71/111)

9/11 + 3/13 × 26/33 - (21/121÷ 71/111) =

= 9/11+3x2/33-(21/121x111/71)

= 9/11+6/33-2331/8591

= 9/11+2/11-2331/8591

= 1-2331/8591

= 6260/8591

Hence. the value of the give expression is, 6260/8591

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What are the coordinates of point F?
D
3
B
2
С
--4
- 3
-2
-1
0
2
3
4
-1
- 2
-3
-4

Answers

Answer: Point F is at location (-4, -5)

The x and y axis meet at the origin (0,0)

Start at the origin and move 4 units to the left. This means the x coordinate is x = -4

Then move 5 units down so the y coordinate is y = -5

Put together (x,y) = (-4, -5) describes where point F is located.

Answer:

(-4-5)

Step-by-step explanation:

What does n equal in the equation that I've typed out 5n+21?

Answers

Answer:

n does not have a defined value, but it has only one value, it is only possible to determined it in an equality let's say that 5n+21=26 there n =1

but we don't know the value

so it stays as 5n+21

To solve for n you have to get n by itself. To do that you first subtract 21 then divide by 5.

5n=-21
n=-21/5 or n=-4.2

-7 – 9x = -61
please help solve and show your work. thank you.

Answers

Answer:

Step-by-step explanation:

-7 - 9x = -61

-9x = -54

x = 6

−18+p=18 what property would be used for this

Answers

Answer:

addition property of equality

Step-by-step explanation:

−18+p=18

Add 18 to each side using the addition property of equality

−18+18+p=18+18

p = 36

How many solutions does this equation have? -3 – 7t = -7t - 3
1)no solution
2)one solution
3)infinitely many solutions​

Answers

Answer:

3)infinitely many solution

Step-by-step explanation:

-3 - 7t = -7t - 3

-7t + 7t = -3 + 3

0 = 0

if there is same number on both side it have infinitely many solution.

hope u like it ‍❤️‍❤️‍‍❤️‍

for any question comment me

evaluate zx-xy-7 use x=-3, y=8, and z=-9*​

Answers

Answer:

44

Step-by-step explanation:

1. substitute variables with their constants

(-9)(-3) - (-3)(8) - 7

2. multiply all like terms

(27) - (-24) - 7

3. Combine all like terms

27 + 24 - 7

51 - 7

= 44

Answer:

44

Step-by-step explanation:

Evaluate z x - x y - 7 where x = -3, y = 8 and z = -9:

z x - x y - 7 = -9 (-3) - -3×8 - 7

Hint: | Multiply -9 and -3 together.

-9 (-3) = 27:

27 - -3×8 - 7

Hint: | Multiply -1 and -3 together.

-(-3) = 3:

27 + 3×8 - 7

Hint: | Multiply 3 and 8 together.

3×8 = 24:

27 + 24 - 7

Hint: | Evaluate 27 + 24 using long addition.

| 1 |  

| 2 | 7

+ | 2 | 4

| 5 | 1:

51 - 7

Hint: | Subtract 7 from 51.

| 4 | 11

| 5 | 1

- | | 7

| 4 | 4:

Answer: 44

Anyone up? 10 points for anyone that can help on this PRE-ALGEBRA question. see attachment below

Answers

Answer:

1. I= $36, NB = $336

2. R = 5%, NB = $517.50

3. T= 5 YEARS, NB = $612.50

4. P= $675, NB = $783

Step-by-step explanation:

1. p= 300, r=3% t=4year

I= p*r*t

i= 300 * (3/100) * 4

i = 300 * 0.03 * 4

i = 36

New Balance = 300+36 = $336

2. r = (i*100)/(p*t)

= (67.50*100)/(450*3)

= 6750/1350

= 5%

New Balance =450+67.50 = $517.50

3. t= (i*100)/(p*r)

= (112.50*100)/(500*4.5)

= 11250/2250

=5

New Balance = 500+112.50 =$612.50

4. p= (i*100)/(r*t)

= (108*100)/(8*2)

= 10800/16

= $675

New Balance = $675+$108 = $783

Which number has a thousands digit that is ten times greater than the hundreds digit?
A. 134,561
O B. 367,244
O C. 552,673
D. 706,623
please help

Answers

Answer:

B

Step-by-step explanation:7 is greater than 2

The correct answer is 367,244.

What is number system?

Number System is a method of representing Numbers on the Number Line with the help of a set of Symbols and rules. These symbols range from 0-9 and are termed as digits. Number System is used to perform mathematical computations ranging from great scientific calculations to calculations.

Positive Numbers: Numbers that are represented on the right side of the zero are termed as Positive Numbers. The value of these numbers increases on moving towards the right. Positive numbers are used for Addition between numbers. Example: 1, 2, 3, 4, …

Negative Numbers: Numbers that are represented on the left side of the zero are termed as Negative Numbers. The value of these numbers decreases on moving towards the left. Negative numbers are used for Subtraction between numbers. Example: -1, -2, -3, -4, …

as per the situation given,

we have number has a thousands digit that is ten times greater than the hundreds digit.

So, the number is 367244 because 7 is 5 greater than 2.

Learn more about number system here:

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C. Write the value of the expression on the blank.
1. 1-561 =
2. I+181 =
3. 1+751 =
4. I+311 =
5. 1+571 =
6. I+831 =
7. 1-3451 =
8. 1-5981 =
9. l-1121 =
10. I-1431 =

Answers

Answer:

1. = -560

2. = I181

3. = 752

4. = I311

5. = 572

6. = I831

7. = -3450

8. = 5980

9. = -I1121

10. = -I1431

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