The length of a rectangle is six more than double the width. If the perimeter is 102 inches find the dimensions

Answers

Answer 1

Answer:

width = 15 inches

length = 36 inches

Step-by-step explanation:

To solve you need to find the width...

width = w

length = 2w + 6

the perimeter is all the way around the area, so..

2w + 2(2w + 6) = 102

because there are 2 widths and 2 lengths in a perimeter.

Solve for w:

2w + 4w + 12 = 102

subtract 12 from both sides and combine like terms...

6w = 90

divide both sides by 6...

w = 15

the width = 15, and the length = 2(15) + 6 = 36


Related Questions

Find mzy.
X
(6x-23)
(4x + 9)
Z
m_Y =

Answers

Answer:

6×+4×10×-23=9-13=-4

I don’t know someone help ASAP

Answers

I think it’s the third one’s

A linear function is given by formula y= 1 2 x−2. d State the slope of the line.

Answers

Answer:

The slope is 1/2.

Step-by-step explanation:

All you have to do is see what is being multiplied by x, and that will be your slope. The number after is your "b"

Point S is on line segment RT. Given RT=4x, ST = 5x-10, and RS = 6 determine the numerical length of ST.

Answers

Answer:

ST=10

Step-by-step explanation:

A store is selling a hat at a 55 percent markup. The store originally paid 16$ for the hat. What is the retail price for the hat?

Answers

Answer:

$24.8

Step-by-step explanation:

16 times 55% is 8.8

A company currently has 200 units of a product on hand that it orders every 2 weeks when the salesperson visits the premises. Demand for the product averages 20 units per day with a stand deviation of 5 units. Lead time for the product to arrive is 7 days. Management has a goal of a 95% probability of not seeking out for this product. The salesperson is due to come in late this afternoon when 180 units are left in stock (assuming that 20 are sold today). How many units should be ordered

Answers

Answer: 289 units

Step-by-step explanation:

Given the following :

Inventory (I) = 180

Lead time (L) = 7 days

Review time (T) = 2 weeks = 14 days

Demand (D) = 20

Standard deviation (σ) = 5

Zscore for 95% probability = 1.645

Units to be ordered :

D(T + L) + z(σT+L)

(σT+L) = √(T + L)σ²

= √(14 + 7)5²

= √(21)25

= 22.9

D(T + L) + z(σT+L) - I

20(14 + 7) + 1.645(22.9 + 7) - I

= 420 + 49.1855 - 180

= 289.1855

= 289 quantities

What are the new coordinates of the figure above if it is dilated by a scale factor of , with the origin as the center of dilation?

Answers

Answer:

could you show a picture and repost thx

Step-by-step explanation:

what is 8640 minutes, in days? ​

Answers

Answer:

8,640 Minutes = 6 Days

Step-by-step explanation:

8640 minutes/60 minutes per hr=144 hours

144 hours/24 hrs a day=6 days

(Ch10.7) True or False? Based on a random sample of 13 tire changes (n1), the mean time to change a tire on a Boeing 777 has a mean of 59.5 minutes with a standard deviation of 7.4 minutes. For 10 tire changes (n2) on a Boeing 787, the mean time was 64.3 minutes with a standard deviation of 13.2 minutes. In testing equal variances in a "two-tailed" F-test at α=0.1, we should reject the null hypothesis of equal population variances.

Answers

Answer:

Yes its true

Calculated value   F = 3.264 > 2.32 at 0.1 level of significance

Null hypothesis is rejected

alternative hypothesis is accepted

The population variances are not equal

 

Step-by-step explanation:

Step(i):-

Given first sample size 'n₁ = 13

Mean of the first sample = 59.5 min

Standard deviation of the first sample (S₁) = 7.4min

Mean of the second sample = 64.3 min

Standard deviation of the second sample( S₂ ) = 13.2min

Null hypothesis :H₀: σ₁² = σ₂²

Alternative Hypothesis : H₁ : σ₁² ≠ σ₂²

Degrees of freedom

          ν₁ = n₁ -1 = 13 -1 = 12

          ν₂ = n₂ -1 = 10 -1 = 9

Step(ii):-

Null Hypothesis  H₀ : σ₁² = σ₂²

Alternative Hypothesis : H₁ : σ₁² ≠ σ₂²

Test statistic

             [tex]F = \frac{S_{2} ^{2} }{S^{2} _{1} }[/tex]

             

Given sample standard deviations are given

we have to determine the Population variances  S₁² and S₂²

             n₁ s₁² = (n₁-1) S₁²

            13 ( 7.4)² = ( 13-1)  S₁²

               S₁²  = 59.32

              n₂ s₂² = (n₂-1) S₂²  

              10 ( 13.2)² = ( 10-1)  S₂²

                S₂² = 193.6

Step(iii):-

Test statistic

             [tex]F = \frac{S_{2} ^{2} }{S^{2} _{1} } = \frac{193.6}{59.3} = 3.264[/tex]

             F = 3.264

      F( 12 , 9 ) = 2.32  

Calculated value   F = 3.264 > 2.32 at 0.1 level of significance

Null hypothesis is rejected

alternative hypothesis is accepted

The population variances are not equal

 

             

                   

5. Find the value of x and y

Answers

the value is find the valu of y and it willl be x

Answer:

(2x +12) + (3x +23) = 180

5x + 35 = 180

5x = 145

x = 29

2(29) + 12

58 + 12

70

180 - 70 = 110

y = 110

or

3(29) + 23

87 + 23

110

corresponding angles are equal

y = 110

Which of the following statements best describes the value of the expression 18x – 35, when x = 2?
A. The result is not a whole number.
B. The result is a prime number.
C. The result is a composite number.
D. The result is a whole number that is neither prime nor composite.

Answers

Answer:

D

Step-by-step explanation:

Let's plug 2 in for x:

18 * 2 - 35 = 36 - 35 = 1

Now, look at the answer choices:

A) Well, 1 is a whole number; it's not a fraction or a decimal. So eliminate A.

B) 1 is not a prime number; the smallest prime number is 2. So eliminate B.

C) 1 is also not a composite number; the smallest composite number is 4. So eliminate C.

D) This is true. 1 is a whole number, but it's not prime or composite, as seen above.

Thus, D is the answer.

~ an aesthetics lover

Answer:

D

Step-by-step explanation: The result is a whole number that is neither prime nor composite.

What is the product of 1 5/7 * 3 2/3?

Answers

Answer:

GJG

Step-by-step explanation:

HGJG

The product is 3 10/22

1) Refer back to Lesson 2, Part A. Assume that the average shoulder width of the people in the line was 1.325 feet. How long would the line be if it contained 10 million people? Express your answer in feet.​

Answers

Answer:

13,250,000 feet or 13.25 million feet

Step-by-step explanation:

Each person in the line has a shoulder width of 1.325 feet.

For each person, there is a width of 1.325 ft. There are 10 million people.

Since:

10 million = 10,000,000

The total length must be:

[tex]1.325 * 10,000,000[/tex]

[tex]1.325 * 10,000,000 = 13,250,000[/tex]

Answer: 13,250,000 feet or 13.25 million feet

Molly categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The percents she spent in each category are pictured here.


Rent
27%
Food
21%
Fun
16%
Other
36%


If Molly spent a total of $2800 this month, how much did she spend on each of the following categories?

Answers

Answer:

whats the question

Step-by-step explanation:

Answers.
She spent in each category:

27% of 2800 = 756 ➡️ $756 Rent

21% of 2800 = 588 ➡️ $588 Food

16% of 2800 = 448 ➡️ $448 Fun

36% of 2800 = 1008 ➡️ $ 1008 Others

I hope this helps you.

You buy one shirt for $22 and two pairs of shorts. Your total cost is $56. Assuming both pairs of shorts cost the same
amount, what is the price of one palr of shorts?
What is the correct equation and solution for this problem?
2 x - $22 = $56, x= $34
2 x + $22 = $56: x= $34
2 x + $22 = $56: x= $17
2 x - $22 = $56: x= $17

Answers

let the cost of sorts be x

then 2x + 22 = 56

2x = 56 - 22

x = 34/2

x = 17

So, it is C :)

Answer:

2 x + $22 = $56: x= $17

Step-by-step explanation:

a line is graphed in the coordinate plane and two slope triangles are shown

Answers

If you could post the picture I can help

20% of 50 please?
thank usm

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Find the height, h, of the triangle shown.
h =
A. 2c^2-4c+8
B. 2c^2+4c+8+(32/(c+2))
C. 4c^2+8c+16+(32/(c+2))
D. 4c^2-8c+16

Answers

Answer:

B

Step-by-step explanation:

What are three steps to use to research relevant information on the internet?

Answers

Answer:

Step 1: Questioning --- Before going on the Internet, students should structure their questions.

Step 2: Planning --- Students should develop a search strategy with a list of sites to investigate.

Step 3: Gathering --- Students use the Web to collect and gather information.

Step 4: Sorting & Sifting --- Students analyze and categorize the data they gathered on the Web.

Step 5: Synthesizing --- Students integrate the information into the lesson, and draw conclusions.

Step 6: Evaluating --- Students assess the results, and if necessary, begin the process again.

Step-by-step explanation:

Hernando ate 2/8 of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told them to share it equally

Answers

Answer:

you would each give them one piece i think

Step-by-step explanation:

How do you do this question?

Answers

Answer:

33/16

Step-by-step explanation:

x = y⁴/8 + 1/(4y²), 1 ≤ y ≤ 2

dx/dy = y³/2 − 1/(2y³)

Arc length is:

s = ∫ ds

s = ∫ √(1 + (dx/dy)²) dy

s = ∫₁² √(1 + (y³/2 − 1/(2y³))²) dy

s = ∫₁² √(1 + y⁶/4 − ½ + 1/(4y⁶)) dy

s = ∫₁² √(½ + y⁶/4 + 1/(4y⁶)) dy

s = ∫₁² ½ √(2 + y⁶ + 1/y⁶) dy

s = ∫₁² ½ √(y³ + 1/y³)² dy

s = ∫₁² ½ (y³ + 1/y³) dy

s = ½ (y⁴/4 − 1/(2y²)) |₁²

s = ½ (16/4 − 1/8) − ½ (1/4 − 1/2)

s = 33/16

100/50 * 10
give the answer

Answers

Step-by-step explanation:

100/50:2

100/50*10:20

Hope this help you☺️

Answer:

20

Step-by-step explanation:

A restaurant customer wants to rate 6 different dishes that were being served. In how many ways can the customer rate the 6 dishes?

Answers

Answer:

720

Step-by-step explanation:

As the order of the rating does not matter, we have a case of permutation.

P(6) = 6! = 6.5.4.3.2.1 = 720

A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not allow a contractor to be offered more than one of these jobs. If this contractor is awarded any of these jobs, the profits earned from these contracts are: million from the office building, million from the theater, and million from the parking garage. His profit is zero if he gets no contract. The contractor estimates that the probabilities of getting the office building contract, the theater contract, the parking garage contract, or nothing are , , , and , respectively. Let be the random variable that represents the contractor's profits in millions of dollars. Write the probability distribution of . Find the mean and standard deviation of . Round your answers to three decimal places, if required.

Answers

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.  

Calculating the probability of the distribution for x:

[tex]\to f(x) = 0.19\ for \ x=14\\\\\to f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\ for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\[/tex]

The formula for calculating the mean value:

[tex]\bold{ E(X)= x \times f(x)}[/tex]

          [tex]=14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07[/tex]

[tex]\bold{E(X^2) = x^2 \times f(x)}[/tex]

           [tex]=14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83[/tex]

use formula for calculating the Variance:

[tex]\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}[/tex]

                  [tex]= 51.83 - (5.07)^2\\\\= 51.83 - 25.70\\\\=26.13[/tex]

calculating the value of standard deivation:

Standard Deivation (SD) = [tex]\sqrt{Variance}[/tex]

                                          [tex]= \sqrt{26.13} \\\\=5.111[/tex]

3) Evaluate for f(4)
f(x) = (x - 2)3 – 6

Answers

Answer: f(x) = 0

Step-by-step explanation:

when f(x) = 4 you plug in 4 wherever you see an x value

so it would be

f(x) = (4 - 2)3 - 6

which gives you a new answer

f(x) = 12 - 6 - 6

f(x) = 0

This is writing equations. Matt's dog weighs 30 pounds. His dog 20 more pounds than 4 times his cat. What is the weight of the cat?

Answers

Answer:

1.5

Step-by-step explanation:

30÷20=1.5

find the value of x in the triangle shown

Answers

Answer:

12 or 16

Step-by-step explanation:

because it was a good thing for you to be here with us today so I don't have any money in my hands and you don't want me back in

hellllllppppppp pleaseeeeee
Find the slope of the line passing through the points (2, 5) and (0, -4)
A.−2/9
B.9/2
C.−9/2
D.2/9

Answers

B.9/2 that’s the answer

Need help.

Enter an inequality that represents the graph in the box.

Answers

First you need to form a worthy equation using slope-intercept (y=mx+b). Do that by counting the slope and finding the y-intercept. Then you have to choose between < or > to make it more accurate. In order to do so, you would have to pick a point with a point x and y and see wether or not I’m the equation is true when you put it in the blanks. If it’s true then you would shade whichever region the point is. If it’s false then shade the opposite region.

Good luck!!!!!!! :)

Todd has 8 pounds of soil to use in his flower pots his small flower pot needs 2 1/2 pounds of soil is large flower pot needs 4 1/4 pounds of soil how much soil will Todd have left after filling both his flower pot

Answers

Answer:

1.25

Step-by-step explanation:

2.5+4.25+x=8

-2.5-4.25      -6.75

x=1.25

Answer:

2 1/4

Step-by-step explanation:

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