Edwin and Anthony are building a rectangular deck in their backyard.The Longer side is 2 more than 1/3 the perimeter. The shorter side is 1/10 of the perimeter. Know that the longer side is 9 ft longer than the shorter side. What is the Perimeter of the deck?

Answers

Answer 1

Answer: The perimeter is 30ft.

Step-by-step explanation:

Let's define:

L = length of the longer side.

S = length of the shorter side.

P = perimeter

we know that for a common rectangle:

P = 2*S + 2*L

We aso know that:

L = 2ft + (1/3)*P

S = (1/10)*P

L = S + 9ft.

So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)

First, we can replace the third equation in the first equation, now we have a system with only two equations:

S + 9ft = 2ft + (1/3)*P

S = P/10

Now we can replace the second equation in the first equation, and get:

P/10 + 9ft = 2ft + P/3

Now let's solve this for P.

9ft - 2 ft = P/3 - P/10

7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)

(30/7)*7ft = P = 30ft.

The perimeter is 30ft.


Related Questions

Which graph represents a function

Answers

Answer:

D

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainlies!

Answer:

D is for sure a function and just so you know A is never a function.

Step-by-step explanation:

Given m|n, find the value of x.

Answers

The value of x is 135 degrees.

Answer:

x = 135°

Step-by-step explanation:

external angles are equal

therefore, x = 135

STATS QUESTION PLEASE HELP AND EXPLAIN!


A least squares regression line was calculated to relate the length (cm) of newborn boys to their weight in kg. The line is weight = -5.58 + 0.1686 length. A newborn was 48cm long and weighed 3 kg. According to the regression model, what was his residual? What does that say about him?


1) WHAT WAS HIS RESIDUAL?


2) WHAT DOES THAT SAY ABOUT HIM? SELECT THE CORRECT CHOICE AND FILL IN ANY ANSWER BOXES TO COMPLETE YOUR ANSWER (round to three decimal places as needed)

a. the newborn weighs ____ kg less than the weight predicted by the regression equation

b. the newborn weighs _____ kg more than the weight predicted by the regression equation

c. the newborn weighs the same as the weight predicted by the regression equation

Answers

Answer:

0.487 kg

b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation

Step-by-step explanation:

Given the Regression equation:

Weight = - 5.58 + 0.1686 length

Length of newborn = 48 cm

Actual Weight of newborn = 3kg

Predicted weight from regression model:

Weight = - 5.58 + 0.1686(48)

Predicted Weight = 2.513kg

Hence, residual = (Actual - predicted)

Residual = (3kg - 2.513kg) = 0.487kg

Since the actual weight is more or greater than the predicted weight:

b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation

I WILL MAKE YOU BRAINLESS
Evaluate a/b for a = 1/2 and b = -3/7
please explain your answer

Answers

The answer is -7/6 or -1.16 recurring

For what of x is the equation 2(x - 12) + x = 36?

Answers

Answer:

The answer is J. 20 substitute it in and it works.

Answer:

J.20

Step-by-step explanation:

pleaseeeee helpppppp

Answers

Answer:

(DOWN VOTE)

Step-by-step explanation:

wait what is it?!

Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven? PLEASE HELP

Answers

Answer:

The sale price was $71.2

Step-by-step explanation:

Answer:

$71.2

Step-by-step explanation:

Which of the following is not a real number?

Answers

Answer:  A

Step-by-step explanation: common sense

Answer:

its a -2 because its a negative and when u count u dont start with a negative do u?

Step-by-step explanation:

what is the solution to this equation?



A. x=-4
B. x= 100
C. x= 4
D. x=-100

Answers

Answer:

             D.    x = - 100

Step-by-step explanation:

[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]

Which of the following is true about the lines defined by the equations 4x−2y=6 and x+2y=14? .
A.The lines share the same y-intercept.
B.Both lines intersect at point (1,−1).
C.The lines are perpendicular.
D.The lines are parallel.

Answers

Answer:

            Only:  C.  The lines are perpendicular.

Step-by-step explanation:

              4x - 2y = 6                           x + 2y = 14

           - 2y = - 4x + 6                        2y = - x + 14

               y = 2x - 3                             y = - ¹/₂x + 7

A.

y-intecept:  (0, -3)                                 (0, 7)

The lines don't share the same y-intercept

B.

x=1    ⇒   y = 2(1)-3 = -1      and        y = -¹/₂(1) + 7 = 6¹/₂ ≠ -1

the line  x+2y=14 doesn't go through point (1,−1) so the lines couldn't intersect at point (1,−1)

Slope:      m₁ = 2                                    m₂ = -¹/₂

C.

m₁· m₂ = 2·(-¹/₂) = -1

The lines are perpendicular.

D.

m₁  ≠  m₂          The lines are not parallel

Time taken by three students to cycle a distance of 5500 m is, A took
8 min and 20 seconds, whereas B took 5 seconds more than C, who took
3 seconds less than A. Find their speed and arrange students
in the increasing order of their speed.
(Speed
Distance]
A,B,C
BAC
C, AB
C, B, A

Answers

Answer:

C,A,B

20 seconds is 1/3 of a minute

A=8 1/3

B= C + 5

B= 5 1/3 + 5

B= 10 1/3

C=A-3

C=8 1/3-3

C=5 1/3

T-shirts cost $4.50 each and shorts cost $6.You have enough money to buy exactly 12 t-shirts and 9 pairs of shorts

How much are you going to spend on shorts?

Answers

Answer:

$54

Step-by-step explanation:

Tracy wants to make 4 curtains. Each requires 54 yards of fabric. How
much fabric does she need?
Pls helpppp!!!!

Answers

Answer:

21 yards

Step-by-step explanation:

4*21/4

84/4

21

Answer:

21yards multiplication

Step-by-step explanation:

Given parameters:

Number of curtains  = 4

Amount of fabric needed = [tex]5\frac{1}{4}[/tex]yards

Unknown:

How much of fabric is needed  = ?

Solution:

   A curtain requires [tex]5\frac{1}{4}[/tex]yards  = [tex]\frac{21}{4}[/tex]yards

  Now to make 4 curtains, we would need  [tex]\frac{21}{4}[/tex] x 4 = 21yards.

Una tableta contiene 500 mg de paracetamol, ¿cuántas tabletas se obtendrán con 5kg del mismo medicamento? xfavor ayudenme con explicación y todo lo necesito para el sabado

Answers

Answer:

Se pueden obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad de 5 kg del medicamento

Step-by-step explanation:

La cantidad en masa de paracetamol en una tableta = 500 mg de paracetamol / tableta

El número de comprimidos que contienen 500 mg de paracetamol que se pueden obtener a partir de 5 kg del medicamento (paracetamol) se calcula dividiendo los 5 kg del medicamento por los 500 mg de paracetamol / comprimido de la siguiente manera;

[tex]El \ nmero \ de \ tableta = \dfrac{5 \ kg \ paracetamol}{500 \ mg \ paracetamol/tableta }[/tex]

Observamos que 5 kg = 5,000,000 mg

Por lo tanto;

[tex]El \ numero \ de \ tableta = \dfrac{5,000,000 \ mg \ paracetamol}{500 \ mg \ paracetamol/tableta } = 10,000 \ tabletas[/tex]

Por tanto, podemos obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad dada de 5 kg del medicamento.

Parallel, Perpendicular
Or Neither

Y = 3x + 1
6x - 2y = 10​

Answers

Since the new slope would be calculated to -3, the equations are neither parallel or perpendicular in accordance to each other.

Squandering Sam has $1,050 in his bank account. Every week he withdraws $40 to buy scratch off tickets. Saving Sally doesn’t have any money now, but is depositing every penny of the $35 a week she makes into a bank account. How many weeks will it take for Sam and Sally to have the same amount of money in their accounts?

Answers

Answer:

15 weeks

Step-by-step explanation:

Week 1: 1,050 ≠ 0

Week 2: 1,010 ≠ 35

Week 3: 970 ≠ 70

Week 4: 930 ≠ 105

Week 5: 890 ≠ 140

Week 6: 850 ≠ 175

Week 7: 810 ≠ 210

Week 8: 770 ≠ 245

Week 9: 730 ≠ 280

Week 10: 690 ≠ 315

Week 11: 650 ≠ 350

Week 12: 610 ≠ 385

Week 13: 570 ≠ 420

Week 14: 530 ≠ 455

Week 15: 490 = 490

Tyler bought a jacket regularly priced $35.00.
With a 30% markdown and a sales tax of 6%, approximately what is the cost of Tyler's jacket?

Answers

Answer:

$25.97

Step-by-step explanation:

You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.

to get the price after markdown multiply $35.00 by 7/10 which equals $24.5

Multiply $24.5 by .06 to get the sales tax which is $1.47

So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97

The cost of Tyler's jacket is $23.03.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Tyler bought a jacket regularly priced $35.00.

With a 30% markdown, the cost of jacket is

30% of 35

= 30/100 ×35

= 0.3×35

= 10.5

So, the cost of jacket is 35-10.5=$24.5

Now, sales tax on $24.5

That is, 6% of $24.5

= 6/100 ×24.5

= 0.06×24.5

= 1.47

Cost of jacket is 24.5-1.47

= $23.03

Therefore, the cost of Tyler's jacket is $23.03.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Here is one of the other ones.

Answers

I’m pretty sure the answer is 2.5!

what is the answer of 3x-5>1/2x+8x?

Answers

Answer:

x < -10/11

Step-by-step explanation:

This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters

(In the diagram shown, assume each square on the grid is 1 centimeter in length.)

What is the area, in square meters, of the actual park?

What is the scale factor?

Answers

Answer:

Scale factor for the drawing from actual park = [tex]\frac{1}{20}[/tex]

Area of the actual park = 1200 cm²

Step-by-step explanation:

Length of the rectangular city park = 5 cm

Width of the rectangular park = 6 cm

Using scale factor 1 cm = 20 meters

Scale factor = [tex]\frac{\text{length of the park in drawing}}{\text{Actual length of park}}=\frac{1}{20}[/tex]

[tex]\frac{5}{\text{Actual length of park}}=\frac{1}{20}[/tex]

Actual length = 5 × 20 = 100 meters

Actual width = 6 × 20 = 120 meters

Area of the rectangular park = length × width

                                               = 100 × 120

                                               = 1200 square meters

Therefore, Scale factor from actual length to the length in drawing = 1 : 20

Area of the rectangular park = 1200 square feet

A jar contains 50 coins, all either 2 cents or 5 cents. The total value of the coins is $1.87.
How many 2 cents coins are there?

Answers

Answer:

there would be 21 cents

Answer:

they would be 21 cents coins

HOPE IT WILL HELP U!

Jillian burns 187 calories when she runs 2 miles. How many miles will she
need to run to burn 500 calories?

Answers

Answer:

I think jillian will have to run 10 miles

Step-by-step explanation:

2 miles = 100 calories

in order to burn 500 calories

2 miles = 100 calories burned

4 miles = 200 calories burned

6 miles = 300 calories burned

8 miles  = 400 calories burned

10 miles = 500 calories burned

i have no clue how to do it

I need help!!! :))))

Answers

Answer:

c

Step-by-step explanation:

Answer:

420-20w = 240

Step-by-step explanation:

She starts with $420 and is taking out $20 a week so in the equation the 20 has to be negative because she is withdrawing instead of adding.

write 36/9 in simplest form

Answers

Answer:

4

Step-by-step explanation:

36/9=4

there are 4 nines in 36

What is the value of d? d = 55

d = 75

d = 125

d = 155

Answers

Answer:

If you're talking about the parallel line then D=125

~~~Hope this helps~~~ :)

Answer:

125

Step-by-step explanation:

Lines p and m are intersected by transversalt and p // m. Select all the angles that are congruent to Angle 6.
Angle 1
Angle 2
Angle 3
Angle 4
Angle 7
Angle 8

Answers

Angles 2,3,7 are all congruent to angle 6

Work out 252% of 120.

Answers

Answer:

302.4

Step-by-step explanation:

252% × 120 =

(252 ÷ 100) × 120 =

(252 × 120) ÷ 100 =

30,240 ÷ 100 =

302.4

Answer: 302.4

Step-by-step explanation:

Write 252% as  

252/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

252/100 of 120 = 252/100 x 120 =

Therefore, the answer is 302.4

PLEASE HURRY I HAVE 5 MINUTES

Answers

Answer:

x>1 :)))))))))

Step-by-step explanation:

-26+13x>-13x

26x>26

x>1

Answer:

C. x > 1

plz mark as brainliest :DD

Find all the zeroes of the polynomial function

[tex]f(x)=x^3 -5x^2+6x -30.[/tex] If you use synthetic division, show all three lines of numbers.

Answers

Answer:

(x -5)(x²  + 6)

Step-by-step explanation:

f(x) = x³ - 5x² + 6x  - 30

Synthetic division:

          5          1     -5      6     -30

                      0      5      0      30

                      1       0      6       0

(x - 5) is  a factor

f(x) = x³ - 5x² + 6x  - 30 = (x -5)(x²  + 6)

4 ( - 2 - 4 x) = 26 + 6 x

Answers

Answer:

X = -1.54 repeating

Step-by-step explanation:

Other Questions
which of the following projects would you use as a dictionary entry The smallest angle in a triangle is 1/3 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles. What is a good prediction question to ask after reading this sentence? o Where are the strangers taking Buck? o What has caused Buck's loss of appetite? O Where do the passengers ride on the train? O What other cargo is the train transporting? Diego is thinking of two positive numbers, if we triple the first number and double the second number the sum is 34. Diego then says, "if we take half of the first of the first number and double the second number, the sum is 34. What are Diegos two numbers? On cold winter mornings, Ellen's mother will frequently put a space heater in the kitchen. The space heater has coils that use electrical energy to make heat. When the heater is turned on, the coils glow bright orange and heat the room. What types of energy are given off by the space heater? Discuss some of the impact of population growth on natural environment A car company can make 200 cars per day. How many weeks will it take tomake 5,600 cars? Bianca has take-home pay every month of $800. She anticipates having $675 of expenses in August. In a zero-based budget, why is it important that she put the extra $125 in some budget category? Where might you suggest Bianca budget that extra $125? Why? What 3 molecules, bondedtogether, create a single link in the DNA chain List one way you think government should have regulated big business in the 1800s. Question a) Compare the Variability of Expenditure of Families in Two Towns given as follows: Number of families Expenditure (Rupees) 21-30 31-40 41-50 51-60 61-70 71-80 81-90 Town A 3 61 132 153 140 51 2 Town B 2 14 20 27 28 7 2 Read the quotation by Sojourner Truth.I am glad to see that men are getting their rights, but I want women to get theirs, and while the water isstirring, I will step into the pool.Which best describes the syntax in this quotation?Truth uses simple syntax to describe how she will help women gain equal rights.Truth uses simple syntax to express the idea she will participate in the fight for equality.Truth uses complex syntax to describe how she will help women gain equal rights.Truth uses complex syntax to express the idea she will participate in the fight for equality. What is a word root?A. An affix that attaches to the front of a wordB. The base of a wordC. A part of a word that has meaning and can be used in other wordsD. An affix that attaches to the end of a word What is the importance of having bacteria that is helpful (Volume/capacity words problems)Everyday I drink 0.75 gallons of milk.how many liters of milk do I drink in 4 weeks . Two angles whose measures equal 90 degrees express 2.65 as a mixed number in the lowest terms 2) Through Nepalgun; and et Namche bazaarlie at the same latitude they have differenttemperature. Give reasons! Find the sum. Express the answer in scientific notation. (6.19 1014) + (2.55 1014) 3.64 1014 8.74 1014 3.64 1028 8.74 1028 Diego Corporation values its inventory at the lower of cost or net realizable value as required by IFRS. Diego has the following information regarding its inventory. Historical cost $100,000 Estimated selling price 98,000 Estimated costs to complete and sell 3,000 Replacement cost 90,000 What is the amount for inventory that Diego should report on the balance sheet under the lower of cost or net realizable value method