If a rectangular patio has a length that is 5 feet longer than its width and a perimeter of 54 feet, solve for the length.
1)17 feet
2)21 feet
3)16 feet
4)11 feet

Answers

Answer 1

Answer: (3)

Step-by-step explanation:

In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.

Step 1: Draw a rectangle where the width is x and the length is x + 5.

Step 2: Find the sum of the lengths and the sum of the widths

2 times the length plus 2 times the width equals the perimeter

2(x + 5) + 2(x) = 54

Step 3: Solve for the width

2(x + 5) + 2(x) = 54

2x + 10 + 2x = 54 (Distributive Property)

4x + 10 = 54 (Group Like Terms)

4x = 44 (Subtraction Property of Equality)

4x/4 = 44/4

x = 11 (Division Property of Equality)

x = width = 11

Step 4: Solve for the length

x + 5 = length

11 + 5 = 16

Length = 16. So (3) must be the answer.


Related Questions

One-third of the result of three times a number that is increased by 12

Answers

Answer:

(1/3)(3x+12)

Step-by-step explanation:

1/3

times (3x+12)

3x+12 will be three times the number x + 12

Jeffery bought 203 sheets of stickers. Each sheet has a dozen stickers. He gave away 907 stickers to his family on Valentine's Day. How many stickers does Jeffery have remaining?

Answers

pls mark me brainliest!!
Jeffrey has 1529 stickers remaining
Further Explanation
From the problem above we know that
Jeffery bought 203 sheet of stickers
Each sticker has a dozen stickers or equal to 12 pcs stickers
He gave away 907 stickers
How many stickers does Jeffery have now?
Step by step explanation
First, we need to calculate the total stickers that Jeffery has, we are going to use the area model methods (see the attachment)

Total stickers that Jeffery has is 2436 pcs of stickers, he gave away 907. Total remaining stickers is

or
2436
907 -
1529
Now, Jeffery has 1529 pcs of stickers.

x=2y-6;y=3x-7
substitution to solve systems of equations​

Answers

Answer:

As you said, we can solve this system for y by using substitution.

[tex]x = 2y - 6\\y = 3x - 7\\\\y = 3(2y - 6) - 7\\\\y = 6y - 18 - 7\\\\y = 6y - 25\\\\-5y = -25\\\\y = 5[/tex]

Now, using what we got for y, we plug it into one of the original equations to solve for x.

[tex]x = 2(5) - 6\\\\x = 10 - 6\\\\x = 4[/tex]

Now we have the solution of this system.

[tex](4, 5)[/tex]

For the given equations x=2y-6 and y=3x-7 the value of x is 4 and the value of y is 5.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two equations are x=2y-6 and y=3x-7. The value of x and y will be calculated as,

x=2y-6

y=3x-7

Solve the above equations by substitution method,

x=2(3x-7)-6

x = 6x -14 - 6

6x - x = 20

5x = 20

x = 4

The value of y will be calculated as,

y=3x-7

y = ( 3 x 4) - 7

y = 12 - 7

y = 5

To know more about an expression follow

https://brainly.com/question/25968875

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4,408,703 in expanded form.

Answers

Step-by-step explanation:

It is

4,000,000+400,000+8000+700+3

I've hit multiple kids with my Truck

Answers

Answer: relatable

Step-by-step explanation: Plz give brainliest

u should dial 911 on ur phone

Convert 22 miles to yards. Use a proportion to solve. Make sure to show your work.

Answers

Answer:

22 meters/23.98 yards= 1 meter/ 1.09 yards

Step-by-step explanation:

You would multiply 22 by 1.09 and that is 23.98. Then you divided that from 1 and get 23.98 or you can round it to 24.

What is the slope-intercept form of the linear equation 2x–8y=32?

Answers

Answer: y = 1/4x - 4

Step-by-step explanation: write it in slope intercept form y = mx + b

y = cos 4(x) period

Answers

cuál es la pregunta aquí?

A card is drawn at random from a standard 52-card deck. What is the probability of drawing a red card or a 7 of spades?

Answers

Answer: I think it would be 1/52

Step-by-step explanation:

The answer would be 1/52

A coffee shop sells 4 types of coffee, 10 types of tea, and 5 sodas. How many different types of drinks does the coffee shop sell?

Answers

Answer:

19 is the answer.

You just want to find the total kinds of drinks the shop sells so just add up all the different kinds of drinks like so,

4+10+5=19

So the coffee shop sells 19 different types of drinks.

Please mark brainliest

A car travels 351 miles on 13 gallons of gas. What is the number of miles driven per gallon of gas?

a. 24 mpg
b.27 mpg
c. 29 mpg
d. 28 mpg

Answers

Answer B. 27mpg
351/13=27
Answer B: 27MPG
351/13=27

Which exponential function has an x-intercept?
A.
F(x) = 100+-5-1
B.
F(x) = 3x4+2
C.F(x) = 7+-1 + 1
D.
F(x) = -8x+1 – 3

Answers

The  exponential function has an x-intercept should be considered as the option A. F(x) = 100+-5-1.

What is an exponential function?

It is the mathematical function that should be denoted by f(x)=\exp or [tex]e^{x}[/tex]. It defined the positive valued function with respect to the real variable. Also, it could be extended to the numbers that are complex or could be general to the other maths objects.

hence, The  exponential function has an x-intercept should be considered as the option A. F(x) = 100+-5-1.

Learn more about function here: https://brainly.com/question/24557100

Which of the following option(s) is a unique curve that can be defined using polar coordinates? Select all that apply.

Rose
rational expression
cardioid
cubic function
lemicon

Answers

Answer:

1 2 and 3

Step-by-step explanation:

Hopefully this helps

The perimeter of a rectangle is 42 inches inches if the width of the rectangle is 6 inches what is the length

Answers

Answer:

15 I think.

Step-by-step explanation:

If the perimeter is 42 inches and the width is 6 inches. That is only one side so you multiply.6 by 2 to get 12. Then 42 minus 12 is 30. Finally you split 30 into 2, to get the length. Since there are to sides. So 15.

Perimeter equals width + length (P= W+L)

P=42
W=6
L=?

42=6+L

Subtract 6 from 42

42-6= 36

Length= 36

SOMEONE HELP ME ASAP PLEASEE

Answers

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

The diagram shows a 90 degree angle between the angles [tex]5x-2[/tex] and [tex]6x+4[/tex] They all lie on a straight line, so if you add them together you get 180[tex](5x-2)+(6x+4)+(90)=180\\5x+6x+4+90-2=180\\11x+92=180\\11x+92-(92)=180-(92)\\11x=88\\x=8[/tex]

Help please!!!!!!!!!

Answers

Answer:

-9+12

Step-by-step explanation:

Answer:

12 - g

Step-by-step explanation:

12 - g

Addition property of zero: Any number added to 0, gives the same number


2 Why is adding 6, 10, and 5 to a number the same as
adding 21 to that number?

Answers

Answer:because 6, 10, and 5 equal 21

Adding 6, 10, and 5 to a number the same as adding 21 to that number, because sum of 6, 10, and 5 is 21.

Given that, adding 6, 10, and 5 to a number the same as adding 21 to that number.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the unknown number be x.

Add 6, 10, and 5 to x, we get x+6+10+5 = x+21

Add 21 to x = x+21

So equation is x+21 = x+21

Therefore, adding 6, 10, and 5 to a number the same as adding 21 to that number, because sum of 6, 10, and 5 is 21.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ2

For 0° ≤ x < 360°, what are the solutions to sin(StartFraction x Over 2 EndFraction) + cos(x) – 1 = 0 ?

{30°, 150°}
{60°, 300°}
{120°, 240°}
{210°, 330°}

Answers

{60°, 300°}

Using the half angle identity:

[tex]\sin\left(\frac{x}{2}\right)+\cos\left(x\right)-1=0\\\sin\left(\frac{x}{2}\right)+1-2\sin^{2}\left(\frac{x}{2}\right)-1=0\\\sin\left(\frac{x}{2}\right)-2\sin^{2}\left(\frac{x}{2}\right)=0\\\sin\left(\frac{x}{2}\right)\left(1-2\sin\left(\frac{x}{2}\right)\right)=0\\[/tex]

Using zero product rule:

[tex]\sin\left(\frac{x}{2}\right)=0,\frac{1}{2}\\x=\frac{x}{2}=0,30,150,180\\x=0,60,300,360[/tex]

Since, 0° ≤ x < 360°, so, x=60,300

Learn more about half angle: https://brainly.com/question/2254074

Turn the sentence into an expression please

9. twenty more than a number added to the
difference between the number and nine

Answers

Answer:

(x+20) + (x-9)

Step-by-step explanation:

Are the ratios 6:5 and 4:3 equivalent?​

Answers

No
They are not equivalent.

Please help me don’t do it for points

Answers

Answer:

The answer is b and d

Step-by-step explanation:

The other answers are wrong.

Therefore b and d are correct.

Hope you get it right and this helps!

Seven
Cruel
Hours
Of
Our
Lifes


what math means
Mental
Abuse
To
Humans

Answers

Answer:

I like math.

Step-by-step explanation:

But I don't do seven hours of school because I am doing online school. I do 8 most of the time

Help me pleaseeeeeeeeeeeeeeeeeee

Answers

Answer:

9

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

he gave away 9 (20 x (3/7) =9) so 21-9=12

(GIVING BRAINLIEST & EXTRA POINTS!! PLS DRAW IT OUT! I DONT WANT TO KNOW THE ANSWER TO THE MULTIPLICATION, I WANT TO SEE HOW YOU SOLVE IT TO GET THE ANSWER :))




1. Use the square grid to find the area.

4 cm x 1 41 cm =_________



Here is the image:

Answers

just make 1 1/4 a mixed fraction so it is 5/4 and then multiple that by 4 and u get 5! attached is my work

Answer:

5

Step-by-step explanation:

1 1/4 x 4

(1 x 4) + 1 = 5/4

5/4 x 4/1 = 20/4

20/4 = 5/1

Hope this helped.

____2. Find the value of x

A 16 C 50
B 34 D 70

Answers

50.........................

McKayla hikes 8 miles on Monday. On Tuesday she
hikes 30% more miles than on Monday. What is the
NEW AMOUNT of miles she hikes on Tuesday?

Answers

Answer:

10.4 miles

Step-by-step explanation:

convert 30% to a decimal 0.3

Then multiply 8×0.3=2.4

Now you have to add 2.4 to 8 because it is 39% more

Which of the following exponential functions goes through the points (1, 20) and (2, 80)?
O f(x) = 5(4)-
O f(x) = 4(5)-*
O f(x) = 5(4)*
O f(x) = 4(5)*

Answers

Answer:

f(x) = 5(4)^x is the correct answer

Question 3 (2 points)
A unit rate is
A rate in which the second quantity in the comparison is one unit.

Answers

Answer:

true

Step-by-step explanation:

it's true, good luck :)

Express 60 percent as a decimal.

Answers

Answer:

.60

Step-by-step explanation:

Answer:

0.60 60% = 0.60

Please help ASAP Due in 1 day!!! Marking Brainliest!!!

Answers

Answer:

C

Step-by-step explanation:

4(7)-10=18

28-10=18

18=18

Answer:

It's C I think

have a nice day mate

#Captainpower

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