The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet. What is the area of the backyard?

Answers

Answer 1

Answer:

150 square feet

Step-by-step explanation:

Step 1

Find the Length and Width of the backyard

The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.

Perimeter = 2L + 2W

L = Length, W = Width

L = 5 + W

Hence:

50 = 2(5 + W) + 2W

50 = 10 + 2W + 2W

Collect like terms

50 - 10 = 4W

40 = 4W

W = 40/4

W = 10 feet

We find L

L = 5 + W

L = 5 + 10 feet

L = 15 feet

Step 2

What is the area of the backyard?

Area of a rectangle = Length × Width

Area of the rectangular backyard = 15 feet × 10 feet

= 150 square feet


Related Questions

Camile shaded 18/30 of a model write the decimal that represents the unshaded portion of the model

Answers

Answer:

.4

Step-by-step explanation:

Camile shaded 18/30 of a model.

Thus the unshaded portion of the model is:

30 - 18 = 12

12/30

12/30 = 0.4

Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((

Steve started with $250 and spent $20 per week. Chelsea started with nothing but saved $30 per week. Use x for time and y for savings.

Write an equation to represent Steve's situation.

Answers

Answer:

[tex]250 - 20x=y[/tex]

Step-by-step explanation:

As per the given problem, Steve starts with $250, and spent $20 a week, the problem mentions nothing about Steve's savings, therefore, one can assume that they didn't save anything. As the problem requests, parameter ([tex]x[/tex]) will be used for the time, and ([tex]y[/tex]) for the savings.

Steve's saving would be equal to his initial value, minus his expense, in essence;

[tex]250 - 20x=y[/tex]

The initial value, minus the amount spend per week multiplied by the week number will equal the savings left.

Answer:

y=250-(20x)

Step-by-step explanation:

A ball is thrown from an initial height of 5 feet with an initial velocity of 32 ft/s. The height h (in feet) after t seconds is represented by the function h=-16t^2+32t+5. Find the maximum height of the ball.

Answers

Find the derivative and set equal to 0 (the speed of the object is zero when the object is at max height and s hanging direction)
-32t+32=0

So the object hits a max at t=1

Plug that into original equation and get h=21 feet

ALGEBRA 2 HELP!!!!!!!!

Answers

Answer:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

Step-by-step explanation:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

GIVING BRAINIEST!!!!

An art shop is selling a painting for $250. John wants to wait until Memorial Day to purchase because the store is hosting a 20% off sale. How much will the painting cost at the sale price?

Answers

Answer:

is will cost 200 dollars by memorial dsy

A research group is comparing the learning outcomes of students who are taught a lesson using four different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researchers will randomly place the students into five equally sized treatment groups suitable for comparison, four of which will receive a different teaching technique and one of which will remain a control group.

Which design is the most appropriate for this experiment?

A Randomly number each person with 1, 2, 3, 4, or 5. Assign the students to the treatment groups based on their label.
B Select a student, and identify the first digit reading from left to right on a random number table. If the first digit is 1 or 2, assign that student to the technique 1 group. Similarly, digits 3 or 4, 5 or 6, 7or 8, and 9 or 0 go with the technique 2, technique 3, technique 4, and control groups, respectively. Repeat this process for each student.
C Number each student from 1 to 75. Reading the numbers from left to right on a random number table, identify 60 unique numbers from 1 to 75. Assign the students whose labels are the first 15 numbers to the technique 1 group. Assign the students whose labels are the second 15 numbers to the technique 2 group. Repeat this process two more times to assign the technique 3 and technique 4 groups. Finally, assign the remaining students to the control group.
D Number each student from 00 to 74. Reading the numbers from left to right on a table of random numbers and looking at two digits at a time, identify 60 unique two-digit numbers from 00 to 74. Assign the students whose labels are the first 15 numbers to the technique 1 group. Assign the students whose labels are the second 15 numbers to the technique 2 group. Repeat this process two more times to assign the technique 3 and technique 4 groups. Finally, assign the remaining students to the control group.

Answers

Answer:

D

Step-by-step explanation:

edge 2021

4^(5 )Identify the base and the exponent in the following expression.

4 is the ______ and the 5 is the _______

Answers

Answer:

4 is the BASE and 5 is the EXPONENT

Step-by-step explanation:

Thx i needed this answer :P

The number 5 is the exponent or power and the number 4 is the base of the expression.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The exponential expression is given as,

⇒ (4)⁵

In the exponential expression aⁿ, the n is the exponent or power and a is the base of the expression.

Then in the exponential expression (4)⁵, the number 5 is the exponent or power and the number 4 is the base of the expression.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

What is the length of the dotted line in the diagram below? Round to the nearest tenth.

Answers

I think it’s 14.5. Sorry if it’s incorrect!

Answer:

third side of. TRAINGLE is hypotenuse

=√(9²+7²)=11.04

therefore given figure is rectangle

dotted line is hypotenuse

=√(9²+11.04²)=14.24 unit

I GIVES BRAINLIEST TO PEOPLES WHO ANSWERS

Answers

Answer:

A) $28.14       B) $8.14

Step-by-step explanation:

1 * 12.95 = $12.95

2 * 3.20 = $6.40

1 * 8.79 = $8.79

we add up all these numbers, 28.14

well he has only 20 bucks, so he still needs 28.14-20= $8.14

Please don't forget to give brainliest ;)

Answer:

A) The total of supplies Jesse needs is $28.14

B) He would still need $8.14 to complete the birdhouse

Step-by-step explanation:

Jess has $20

1 piece of strong board = $12.95

2 boards = $3.20 each (2 x 3.20 = $6.40 total)

10 foot post = $8.79

$12.95 + $6.40 + $8.79 = $28.14

$20 - $28.14 = -$8.14

The total price $28.14

He would need $8.14 more

(wanna give me the crown?)

Round to the nearest 10th

Answers

85 is going to round up to 90 and 6 is going to round up to 10

Please help in this

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Is The boundary line for the inequality y < -7/3x - 3 is a solid line.

Answers

Answer:

Step-by-step explanation:

No.  Only if the inequality symbol < were replaced with =, ≤ or ≥, would the boundary line be a solid line.

HELP PLEASE!! not sure about this one!!

Answers

Answer:

y=4x

Step-by-step explanation:

Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((

Solve the system of equations below. Write your answer as an ordered pair.

2x + 2y = 12

3x + 2y = 17

Answers

Is that what you want

Answer:

(5,1)

Step-by-step explanation:

Drag the tiles to the boxes to form correct pairs.
Consider functions f and g
1) = 1 - 2
9(s) = VII - 41
Evaluate each combined function, and match it to the corresponding value
(-1
)
>
0
(9 + 1)(2)
→ 73
(-1)(-1)
VE
(9.5)(2)
--373

Answers

Answer:

Step-by-step explanation:

f(x) = 1 - x²

g(x) = [tex]\sqrt{11-4x}[/tex]

[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]

[tex](\frac{f}{g})(x)=\frac{1-x^2}{\sqrt{11-4x}}[/tex]

[tex](\frac{f}{g})(-1)=\frac{1-(-1)^2}{\sqrt{11-4(-1)}}[/tex]

             = [tex]\frac{1-1}{\sqrt{15}}[/tex]

             = 0

(g + f)(x) = g(x) + f(x)

             = [tex]\sqrt{11-4x}+1-x^2[/tex]

(g + f)(2) = [tex]\sqrt{11-4(2)}+1-(2)^2[/tex]

             = [tex]\sqrt{3}-3[/tex]

(g - f)(x) = g(x) - f(x)

            = [tex]\sqrt{11-4x}-(1-x^2)[/tex]

            = [tex]\sqrt{11-4x}-1+x^2[/tex]

(g - f)(-1) = [tex]\sqrt{11-4(-1)}-1+(-1)^2[/tex]

             = [tex]\sqrt{15}[/tex]

(g . f)(x) = g(x) × f(x)

            = [tex](\sqrt{11-4x})(1-x^2)[/tex]

(g . f)(2) = [tex](\sqrt{11-4(2)})(1-(2)^2)[/tex]

             = [tex]\sqrt{3}(-3)[/tex]

             = -3√3

Answer:

0

3-3

15

3(-3)

Step-by-step explanation:

easier to read

A fire ranger on a 150-ft-tall tower spots a fire at a 30° angle of depression. How
many feet away from the tower is the fire to the nearest tenth?

Answers

Answer:

        259.8ft

Step-by-step explanation:

The distance from the tower to the fire to the nearest tenth is 260 feet.

Let the adjacent side be a.

Given the following data:

Angle of depression = 30°.Opposite side = 150 feet.

To determine how far away (in feet) from the tower is the fire to the nearest tenth:

How to apply trigonometric function.

In order to solve this exercise, we would form a mental image of the scenario being described. The height of the tower is the opposite side while the distance from the tower to the fire is the adjacent side.

Next, we would apply the Tan trigonometric function:

[tex]Tan \theta = \frac{Opp}{Adj} \\\\Tan 30=\frac{150}{a} \\\\a=\frac{150}{Tan 30} \\\\a=\frac{150}{0.5774}[/tex]

a = 259.79260 feet.

Read more on trigonometry here: https://brainly.com/question/20519838

Write the words for:

(3/4 - 1/5) x 4:

Answers

Answer:

three-forth minus one-fifth times four

Step-by-step explanation:

Answer:

Step-by-step explanation:

Third -fourth subtracted from one-fifth multiplied by four

1The first three figures in a pattern are shown here. What is the fourth
figure in the pattern?

Answers

Answer:

D

Step-by-step explanation:

The pattern is each end of the figure is expanding by one. A and C are automatically out because there is nothing in the middle of any figure in the previous pattern. B is out because it is the same as figure three. D is correct because it follows the rule of the pattern by expanind outwards one block on each end.

Need answers ASAP please and Thankyou!

Answers

Answer:

A = 65deg

B = 78deg

Step-by-step explanation:

It's a triangle, so we know that the sum of angles is 180deg

x + (2x - 9) + (2x + 4) = 180

5x - 5 = 180

5x = 185

x = 37

Measure of angle A = (2*37 - 9)deg = 65deg

Measure of angle B = (2*37 + 4)deg = 78deg

Which is greater? 3/50 or 0.74

Answers

Answer:

0.74

Step-by-step explanation:

3/50 = 0.6

0.6<0.74

what’s the equation of the line shown above?

Answers

Answer:

answer is B)y=3x+2

Step-by-step explanation:

here ya go, have a nice day

btw if you can give me brainliest it will help a lot, thanks

On a math test, Rosie answered 36 questions correctly, which was 72%. how many questions were on the test?

Answers

Answer:

50

Step-by-step explanation:

What I did first is I converted 72% into a decimal (I work better with decimals), giving me 0.72. Then I solved the equation 36/0.72=x.

x = 50

Answer:

50 questions

Step-by-step explanation:

Let the number of questions be x.

We have:

72% of x is 36.

Build an equation and solve for x:

0.72x = 36x = 36/0.72x = 50

Find the value of x.
x-11
x-5
A-8
.
A. 17
B. 20
C. 22
D. 15

Answers

Answer:

the answer is D hope it hleps

Parker and Eugene sold tickets for the school play.They each need to sell 35 tickets To receive a prize. On day one sold 23 tickets on day two sold 25 tickets and on day three the sold 35 tickets if they want to equally share the number of tickets between them how many ticket sales will each boy have

Answers

Answer: 41.5

Step-by-step explanation:

Number of tickets sold on day one = 23

Number of tickets sold on day two = 25

Number of tickets sold on day three = 35

Total tickets sold = 23 + 25 + 35 = 83

Since they want to share it equally, each boy will have:

= 83/2

= 41.5

Find the slope and the y-intercept of the line whose equation is -5x+3y-8=0

Answers

The slope is 5/3 and the h intercept is (0,8/3)

What is the example of ratio?

Answers

Answer:

Step-by-step explanation:

f there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14

What is the range of the progress of these projects? ​

Answers

Answer:

Quick question, did you find the answer?

Look at screenshot for question

Answers

1st box- 1
2nd box- 9
3rd box- 6
4th box- 5

1. Which of the following is a right triangle?
A.A piece of steel with sides 2 meters, 4 meters, and 5 meters,
B.A stained-glass window with sides 8 inches, 15 inches, and 20
inches.
C.A garden with sides 12 feet, 34 feet, and 37 feet.
D.ceramic tile with sides 20 centimeters, 21 centimeters, and 29
centimeters.

Answers

Answer:

c

Step-by-step explanation:

Answer:

D 20,21,29

Step-by-step explanation:

1015
Why is
equal to 1011?
104

Answers

The reason why it is equal is because when you divide you are really subtracting so 10^15-10^4 so 15-4 equals 11
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