The length of a rectangular birthday party invitation is 1 inch less than twice its width. The area of the invitation is 15 square inches.

The Length Of A Rectangular Birthday Party Invitation Is 1 Inch Less Than Twice Its Width. The Area Of

Answers

Answer 1

The length of a rectangular birthday party invitation is 9 inch.

The length of a rectangular birthday party invitation is 1 inch less than twice its width.

Area of the invitation 15 square inches.

what is the area of the rectangle?

A=length× width

That is,the area of a rectangle is length times width.

let x be the width rectangle

width = x

length = 2x - 1

[tex]Area= 15 square inches[/tex]

Using these variables, set up the equation for area.

x(2x - 1) = 15

Solve the equation for x.

[tex]2x^{2} - x = 15[/tex]

Subtract 21 on both sides of the equation.

[tex]2x^{2} - x - 15=0[/tex]

Which method we use to factor the polynomial?

FOIL method

Factor using FOIL, if possible.

(2x +5)(x - 5) = 0

Set the factors equal to zero and solve for x.

2x  = -5 and x - 5 = 0

x =- 5/2 or x = 5

x =- 2.5 or x=5

Since we cannot accept a negative value for dimensions, we accept the positive value of x:

x = 5

Therefore,

Length = 2(5) - 1

Length = 10-1

Length = 9

Therefore we get the length is 9 inch

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Related Questions


What is the equation of the line that passes through the points (4,5) and (6,4)?

Answers

Answer:

y=(-1/2)x+7

Step-by-step explanation:

y=mx+b

find slope (m)-> (4-5)/(6-4)

find y-intercept (b)-> 4=(-1/2)6+b

m= -1/2

b= 7

The Pythagorean Theorem


(if the diameter of the table is 86 inches, will it fit through a rectangular door that measures 30 inches by 84 inches?)

Answers

Answer:

No it won't

Step-by-step explanation:

Because if the length of the door is either 30 or 84 it wont fit because both of those numbers are less than 86

can someone explain how im meant to do this please? :)

Answers

Answer:

you have to do

92×98=9016

then 9016=10(here we roud to 1 signification figure)

49×138=6762

6762=6

216×876=189216

189216=1

i think it’s the answers

(3x- 1) 71 solve for the equation and x please

Answers

Answer:

x=24

Step-by-step explanation:

The opposite angles are equal as per certain theorems.

3x-1=71

3x=72

x=24

what is the slope of the line shown below?

Answers

Answer:

A

Step-by-step explanation:

6/3

I messed up I see what I did wrong, so I leave it hereeee

Simplify the expression. Make sure all final answers are clearly labeled. Show all work.

3 divided by 2+√5

Answers

Answer:2 1/3

Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3

Find the area of the rectangle.. Single choice.

436 cm squared
399 cm squared
380 cm squared
417 cm squared

Answers

Answer:

399 cm squared.....Do you want explanation ??

Answer:

socratic

Step-by-step explanation:

use socratic take a pic then it searchers for you

WEILL GIVE BRAINLIEST!
Translate into a variable expression.
n less than 22

Answers

Answer:

n<22 or 22- n

Step-by-step explanation:

NEED HELP WITH NUMBER 2 PLS I WILL MARK YOU BRAINLIEST

Answers

Answer:

The slope is 25 and the y-intercept is 100

Step-by-step explanation:

With linear equations (y = mx + b), m is always the slope, which, in this case, is 25. It could also be written as [tex]\frac{25}{1}[/tex], although it's not necessary here

B is always the y-intercept, which is 100 here

Solve for c.
-2c = 8

Answers

Answer:

c = -4.

Explanation:

If you divide -2 to both sides, it should equal -4.

Answer:

c = -4

Step-by-step explanation:

8/-2 = -4

PLS HELP I'LL MARK BRAINLIEST !!!!! ASAP PLS !!

Answers

The awnser to this is a your welcome
Answer =11

5x + 90+3x+2=180
5x+3x+2+90=180
8x+92=180
8x=180-92
8x=88
x=88/8
x=11

he puppy weighed 2 pounds when it was born. He has gained weight, but still weighs less than 11 pounds. How much weight could he have gained? n = 9 pounds n > 9 pounds n < 9 pound

Answers

Answer:

n=9

Step-by-step explanation:

just did it

Which is the quotient if 3/5 and 1/10?

Answers

Answer:

6

Step-by-step explanation:

We have two fractions and are asked to find the answer if they both are divided.

3/5 and 1/10.

When we divide fractions, we need to follow KCF

KEEP - Keep the fractions

CHANGE - Change the division sign to a multiplication sign

FLIP - Flip the second fraction

Follow :

KEEP :

3/5 / 1/10

CHANGE :

3/5 * 1/10

FLIP :

3/5 * 10/1

Now we need to multiply, which is simple because it's multiplying across :

[tex]\frac{3*10}{5*1}[/tex]

30/5

Simplify by dividing the numerator and denominator by 5 :

[tex]\frac{30/5}{5/5} = \frac{6}{1}[/tex]

Divide the numerator by denominator :

[tex]\frac{6}{1} = 6[/tex]

Which equation has a greater rate of change than the linear function in the table? A. y = 6x + 13 B. y = -4x-18 C. y = 5x–3 D. y = -3x + 2​

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The sum of two numbers is 369 the difference of those two numbers is 17 which answer choice shows both numbers

Answers

Answer:

(176, 193)

Step-by-step explanation:

Well you forgot to put in the choices, but:

The difference between the numbers is 17. Let's call the smaller number x and the bigger one y

(x + y) = 369

y = x + 17

(x + (x + 17)) = 369

2x + 17 = 369

2x = 352

x = 176

y = x + 17 = 193

X=193,y=176
X+y=369
X-y=17
X=17+y
(17+y)+y=369
17+2y=369
2y=352
Y=176
X=369-176
X=193

Need to figure out x and y

Answers

Answer:

f(X)=7 X=1

X=2. f(X)=14

f(X)=21. X= 3

X=4. f(X)=28

X=5. f(X)=35

just substitute in the equation

Evaluate 3m to the second power n to the -2nd power for m= 2 and n= -3

Answers

Answer:

1296

Step-by-step explanation:

3 × 2 = 6

6 to the power -2 = 0.277777777777777777

0.277777777777777777 to the power -2 = 1296

0.277777777777777 is the dickiamal

WILL MARK BRAINLIEST pls help (ignore notes)

Answers

Answer:

Step-by-step explanation:

Shaped area perimeter=50(3)+50[tex]\pi[/tex]÷2+50(2)[tex]\pi[/tex]÷4

                                      =150+50[tex]\pi[/tex]

                                      =307.1 cm(correct to nearest tenth)

A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?

A. y = 25(1.2)^t
B. y = 25(1.1)^12t
C. y = 25(1.0167)^t
D. y = 25(1.01531)^12t

Answers

Answer:

b

Step-by-step explanation:

The exponential growth function is "[tex]y = 25(1.0167)^t[/tex]". A complete solution is below.

Given:

Population,

25

Increasing rate,

r = 20%

Now,

The value after 1 year will be:

= [tex]25+(\frac{20}{100} )25[/tex]

= [tex]25+\frac{1}{5}\times 25[/tex]

= [tex]25+5[/tex]

= [tex]30[/tex]

Now

→ [tex]25(1+\frac{R}{100} )^{12} =30[/tex]

→                   [tex]R = 1.67[/tex]

hence,

The exponential growth rate to find the monthly growth rate will be:

→ [tex]y = 25(1.0167)^t[/tex]

Thus the above answer i.e., option C is the correct alternative.

Learn more:

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Estefania can run 3/4 of a race in 2/3 hour. How long will it take her to complete the entire race?

Answers

Answer:

3/4 x = 2/3

If we multiply both sides by 4/3 we will have

x = 2/3 × 4/3 = 8/9 hour

If x is measured in yards and your boss wants a 2" thickness of mulch, how many cubic yards should he order?

Answers

Answer:

1000. Then 1000 divided by 324 = 3.08 cubic yards.

Step-by-step explanation:

Answer:

0.8585 cubic yards

Step-by-step explanation:

inches-->yeards 2/36 in

15.453*2/36 = 0.8585 (tried volume formula)

I figured if the derivative represented the area then x^2*x = x^3 so that would represent the volume of mulch needed.

simplify. 3(2x + 1)
a.7x
b.9x
c.6x+3

Answers

Answer:

C. 6x+3

Step-by-step explanation:

Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.

3*2x is 6x.

3*1 is 3.

This results in 6x+3.

Step-by-step explanation:

C.6x+3 thats tge answer

what's the distance between (1,7) and (-2,-4)

Answers

Answer:

Finite Math Examples. Popular Problems · Finite Math. Find the Distance Between Two Points (7,2) , (-1,4).

Step-by-step explanation:

Finite Math Examples. Popular Problems · Finite Math. Find the Distance Between Two Points (7,2) , (-1,4).

Answer:

The distance is Sqrt(130) or in decimal form, 11.01...

Step-by-step explanation:

The distance formula states that you need to do sqrt((a-x)^2+(b-y)^2)). In this scenario (x,y)(a,b)= (1,7)(-2,-4) So we just fill in that formula. (-2-1)=-3^2=9; (-4-7)=11^2=121; 121+9=130. The distance is therefore Sqrt(130) or in decimal form, 11.01...

pls help me thank you!
choose the best answer
3x^2-6x=29

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

Answers

Answer:C

Step-by-step explanation:

What is the solution to the system of equations?

Answers

Answer:

(3, -2)

Step-by-step explanation:

both of the equations are equal to y, which means they are equal to each other.

So you write them as equation(1) = equation(2)

and solve for x.

Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)

Hope I was able to help:)

110 cm
50 cm
140cm
y у
180 cm

Answers

Answer:

its a little hard sorry I dont know

8 is the factor of ___________.
(a) 72 (b) 73
(c) 74 (d) 75

Answers

Answer:

72

9 times 8 is 72

pls mark me as brainliest thanks

Look at the Screenshot and ANSWER THE QUESTION

Answers

Answer:

Graph C is the answer.

Step-by-step explanation:

From the graphs attached,

Graph A

Given graph represents a cubic function.

Graph B

This graph represents a piecewise  function.

Graph C

This graph represents an exponential function.

Graph D

Given graph represents a quadratic function.

Graph C is the answer.

Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ratio but a driver with 34 teeth, how many teeth must go on the the driven gear?

Answers

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

[tex]\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10[/tex]

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

make m the subject of the formula g=√m-5/2

Answers

Answer:

answer is m = 5 + 2G^2

Step-by-step explanation:

first we have to cancel out the √ by powering both sides by 2

(G) ^2 =(√ m-5/2)^ 2

the 2 on the right side cancels out the √ which will be

G^2 = m - 5/2

we then cross multiply on both sides which will give us:

2*G^2 = m - 5

then carry 5 to the other side

2G^2 +5 = m - 5+5

therefore m = 5 + 2G ^2

clear steps in the picture

hope that helps

Answer:

answer is m = 5 + 2G^2

your welcome

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