the length of a rectangular yard is 4 feet more than the width. the perimeter of the yard is 208 feet. write the equation that represents the perimeter of the yard. let w represent the width. solve the equation. what are the dimensions of the yard?​

Answers

Answer 1

Answer:

Length = 54 ft.

Width = 50 ft.

Step-by-step explanation:

Let the width of the rectangle be 'w'.

According to question ,

Length = w + 4

Perimeter = 208 ft.

We know that [tex]perimeter = 2(l + w)[/tex] where l = length & w = width

So,

[tex]2(w + 4 + w) = 208[/tex]

[tex] = > 2(2w + 4) = 208[/tex]

[tex] = > 2w + 4 = \frac{208}{2} = 104 [/tex]

[tex] = > 2w = 104 - 4 = 100[/tex]

[tex] = > w = \frac{100}{2} = 50[/tex]

Width = 50 ft.

=> Length = 50 + 4 = 54 ft.


Related Questions

7. Slips are drawn form a box containing 100 slips written with numbers 1 to 100. If three slips are
drawn one after the another with replacement, then the probability that first slip bears an even
number, second bears an odd number, third bears a perfect square number, is


a)1/100
b)1/25
c)1/45
d)1/40​

Answers

Answer:

D

Step-by-step explanation:

We need the numbers of each before we can calculate the probability

Number of even numbers are 50

Number of odd numbers are 50

Number of perfect squares;

1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 and 100

10 perfect squares

Probability of selecting even = probability of selecting odd = 50/100 = 1/2

Probability of selecting a perfect square = 10/100 = 1/10

Thus, the probability of having the draws in the other stated in the question will be;

1/2 * 1/2 * 1/10 = 1/40

Look at this graph

What is the slope?

I’ll mark as brainiest!!!

Worth 18pts!!

Answers

Answer:

m = 2

Step-by-step explanation:

Use two points on the graph to find the slope:

(40, 0) and (50, 20)

The slope is:

m = (y2 - y1)/(x2 - x1)m = (20- 0)/(50 - 40) = 20/10 = 2

Martin used 1/3 of his inheritance to pay off the mortgage on his house and 3/5 of what was left to purchase a new automobile. How much was left from his total $30,000 inheritance after these two expenditures

Answers

Answer:

12,000

Step-by-step explanation:

Since 1/3 of 30,000 is 10,000, we are left with 20,000. 3/5th of 20,000 is 12,000.

its given that x varies directly with y square and x=3 and y=3.Find the value of x when y=45

Answers

Step-by-step explanation:

x = ky², where k is a real constant.

When x = 3, y = 3.

=> 3 = 9k, k = 1/3.

Therefore x = y²/3.

When y = 45, x = 45²/3 = 675.

A bookstore bought a case of 10 books at a wholesale price of $84. The bookstore will sell the books at a 25 percent
markup, and each book will be sold for the same amount. How much will they sell each book in the case for?
O $8.40
O $10.50
O $105.00
O $105.80

Answers

Answer:

$ 8.40

Step-by-step explanation:

divide 84 by 10 and you will get $8.40.

To find how much they bought each book for, you must divide by 10. 74 divided by 10 is 7.4. Then if they are selling them for 20% more, then multiply 7.4 and 1.2

Your answer is $8.80

The slope of the line that passes through (2.4) and (3,8)

Answers

Answer:

The slope is 4

Step-by-step explanation:

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( 8-4)/(3-2)

   = 4/1

   =4

Please help me!!!!!!

Answers

Answer:

A = 51°   b = 15.3858...   c = 24.448

Step-by-step explanation:

Given: B= 39°

a = 19

and that it's a right triangle

so that means the other 3rd angle is

A+39+90=180

A= 51°

use SOH CAH TOA to remember how sin cos and tan fit on the triangle

Sin(x)=Opp/Hyp    Cos(x)=Adj/Hyp  Tan(x)=Opp/Adj

Let's use  Tan to find b

Tan(b) = Opp / Adj

Tan(39) = b / 19

19*Tan(39) = b

15.38589... = b

use Pythagoras to find c

c = [tex]\sqrt{a^{2} +b^{2} }[/tex]

c = [tex]\sqrt{19^{2} +15.3858^{2} }[/tex]

c = 24.448....

The local school board wants to get parents to evaluate teachers. They select 100 parents and find that 89% approve of their child’s teacher

Answers

Answer:

Ok? Did you finished asking the question? Just in case, that is 89/100 or 0.89

Step-by-step explanation:

Here, Population: All parents, Sample: 100 parents and Parameter: Parents’ approval of teachers

What is sample space in probability?

The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.

Given that, A local school board wants to get parents to evaluate teachers. They select 100 parents and find that 89% approve of their child’s teacher, here we need to find the population, sample and parameter of interest

So, as we see,

The population is the entire group that you want to draw conclusions about.

Therefore, the population here is = All parents

The sample is the specific group that you will collect data from.

Therefore, the sample = 100

The parameter is any characteristic that can help in defining or classifying a particular system.

Therefore, the parameter = Parents’ approval of teachers

Hence, we get Population: All parents, Sample: 100 parents and Parameter: Parents’ approval of teachers

For more references on sample space, click;

https://brainly.com/question/28043513

#SPJ5

what is half of half of half of 8?

Answers

Answer:

I believe it is 1

Step-by-step explanation:

half of 8 is 4

half of 4 is 2

half of 2 is 1

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the product of 1/2 and 2/3

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

it is 1/3

Step-by-step explanation:

it's 1/3 because 1/2 times 2/3 equals 2/6 and you can divide 2 by 2 to get 1 and 6 by 2 to get 3 so the answer is 1/3

2. Use the total time traveled column to write an equation.
3. Solve the equation for x. Show work, please.
4. What was the speed of the wind

Answers

Answer:

6 mph

Step-by-step explanation:

Refer to attached table for inputs

Below equation is for total time traveled (middle column of table). Solving for x:

20/(14 + x) + 20/(14 - x) = 3.520(14 - x) + 20(14 + x) = 3.5(14 + x)(14 - x)20*2*14 = 3.5(14² - x²)160 = 196 - x²x² = 36x = √36x = 6

Speed of wind is 6 miles per hour

A convex polyhedron has 24 edges and 16 vertices. How many faces does it have?
Euler's formula: V + F= E + 2
6
10
26
38

Answers

Answer:

10

Step-by-step explanation:

Using Euler's formula for polyhedra

F + V - E = 2

Here V = 16 and E = 24, thus

F + 16 - 24 = 2, that is

F - 8 = 2 ( add 8 to both sides )

F = 10

Answer:

b

Step-by-step explanation:

on edge 2021

Please!!!!!! Answer These Plato Composites of Inverse Functions

Answers

Hope this helps bye bye thanks
What’s the question you need help on?

what i sthe answer to 6a+5a-b-5b+2a

Answers

Answer:

13a-6b

Step-by-step explanation:

Answer:

13a - 6b

Step-by-step explanation:

combine like terms:

6a+5a-b-5b+2a

combine all the terms with the variable "a"

13a-b-5b

combine all the terms with the variable "b"

13a-6b

write your answer for y.

Answers

Answer:

The coordinates of Y' will be:  A'(4, -3)

Step-by-step explanation:

Triangle XYZ with vertices

X(-5, -2)Y(-3, 4)Z(-1, 1)

We have to determine the answer for the image Y' of the point Y(-3, 4) with respect to the line mirror y=x.

We know that when P(x, y) is reflected in y = x, we get P'(y, x)

i.e.

The rule of y=x:

P(x, y) → P'(y, x)

As we are given that Y(-3, 4), so the coordinates of Y' will be:

A(-3, 4) → A'(4, -3)

Therefore, the coordinates of Y' will be:  A'(4, -3)

The two triangles shown have the same perimeters. What is the perimeter of each triangle

Answers

Answer:

28 units

Step-by-step explanation:

Since the perimeter of both triangles is same,

the sum of all sides of first triangle = sum of all sides of second triangle

or, 6x + 3 + 2x + 4x = 5x + 5x + 3x + 2

or, 12x + 4 = 13x + 2

or, 4-2 = 13x - 12x

or, 2 = x

Now,

Putting the value of x in the perimeter of first triangle,

12x + 4= 12* 2+ 4

= 28 units

How to write an equation in slope-intercept form with a graph
For example:

Answers

Answer:

y = - x - 1 is the answer to the graph

4) Graph by making a
table.
y=2x

Answers

Answer:

the first pic is the table of values

the second pic shows the shape of your graph

a-2=7 solve this question please​

Answers

9 is the answer so it’s 9-2=7

Answer:

A=9

Step-by-step explanation:

So basically, just think of "what" minus two equals seven. That'd be nine.

You can also look at it like 7 + 2= A

A=9

there are 7 doctors and 27 nurses happy hill hospital.what is the ratio of doctors to nurses.Need it fast

Answers

Answer:

7/27

Step-by-step explanation:

do the doctor over nurses

I'm tripped up on this question... Can someone help?
A technician can test video player chips at the rate of -3t^2+16t+5 chips per hour
(for 0 ≤ t ≤ 6), where t is the number. of hours after 9:00am. How many chips can be. tested between 11:00am to 3:00pm? (Assume t=0 for 9:00am)
Show work

Answers

Answer:

68 Chips

Step-by-step explanation:

On the picture above, I was confused about t=0 and 9am which one I will put in , but I tried to help you to get the right answer.

Solve the equation and leave your answers as simplified 8-3x/2=5 fractions or as decimals

Answers

Answer:

8-3x/2= 5

=>-3x/2=5-8

=>-3x=-3×2

=>-x=-6/3

=>x=2

Scale Factor : ____?____


Algebraic Representation : ______?______




Answer asap please !

Answers

Answer: Scale Factor = 1/4

Step-by-step explanation:

The base of triangle X has a length of 12, and the base of triangle x' has a length of 3. Therefore, the scale factor is 1/4, because 12 x 1/4 = 3.

Simplify: 5 + p > 3
A.) p > 8
B.) p -2

Answers

P > -2 , mm that’s the answer:)

9833

Step-by-step explanation:

what is the answer to 6x+6-3(x-2)=x+4
need step by step explanation

Answers

Answer:x = -4

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6*x+6-3*(x-2)-(x+4)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

((6x + 6) - 3 • (x - 2)) - (x + 4) = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

2x + 8 = 2 • (x + 4)

Equation at the end of step

3

:

2 • (x + 4) = 0

STEP

4

:

Equations which are never true:

4.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2 Solve : x+4 = 0

Subtract 4 from both sides of the equation :

x = -4

First expand the brackets -3(x-2) =-3x+6
Rewrite the equation: 6x+6-3x+6=x+4
Simplify where possible:3x+12=x+4
Solve: whatever you do on one side do it on the other
-x 3x+12=x+4 -x
2x+12=4
-12 2x =4 -12
2x=-8
/2 X=-4 /2

Which is a correct first step in solving 5 - 2x < 8x -3?
O5<6x-3
O 3x<8x - 3
O5<10x-3
O2-2x< 8x

Answers

Answer: 5 < 10x - 3

Step-by-step explanation:

ILL GIVE BRAINLIEST
5 is 30% of what number

Answers

Answer:

16.67 I THINK

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Two 6-sided dice are rolled. What is the probability that the sum of the two numbers of the dice will be less than 6?

Answers

Answer:

I believe it would just be 5/6.

Step-by-step explanation:

In a six-sided dice, there are five numbers less than 6!

Step-by-step explanation:

sum of dice=1+2+3+4+5+6=21

sum of two sided dice=21(2)=42

sum of numbers less than 6=1+2+3+4+5=15

probability of two numbers less than 6=2/12=1/6

Answers:
A.y=-6x-3
B.x y
0 -1
4 -4
8 -7
12 -10
C.y=-3x+4
D.x y
-2 1
2 7
6 13
10 19
Please help

Answers

Answer:

y=-3/4x-3

Step-by-step explanation:

Tyler answered 152 questions correct on his multiple choice history final and earned a grade of 76%. How many total questions were on the final exam?

Answers

Answer:

200 questions

Step-by-step explanation:

152 questions correct and earned 76%

so, 152/x = 76/100

x= 152*100/76

x=200

Hope this helps plz hit the crown :D

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