Bob wants to frame a picture. He needs to know how long to cut
the length and width of the wood for the frame. The length of the
picture is six inches more than the width. If the perimeter of the
picture is 108 inches, what are the length and the width of the
picture?

Answers

Answer 1

Answer:

Length = 30 inches

Width = 24 inches

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P) = 2 width + 2 length

Since:

Length (L) = width (w) + 6

Replacing with the values given:

108 = 2w+2 (w+6)

Solving for w:

108 = 2w+2w+12

108-12 =2w+2w

96 =4w

96/4 =w

w= 24 in

Replacing w in the length formula:

L = w+6

L= 24+6 = 30in

Feel free to ask for more if needed or if you did not understand something.  


Related Questions

Errol's bike ride from home to school can be modeled by the equation d(t) = -4t+2, where d(t) is
his distance from school, in miles, at t minutes. Errol's friend Daniel lives 4 miles away from school. It
takes Daniel twice as long to get to school if he bike rides at the same pace as Errol. What can be said
about the graph of the equation that models Daniel's bike rides?

Answers

Answer:

Option (2).It has a vertical translation by 2 units in the positive direction.

Step-by-step explanation:

Given question is not complete: find the  complete question with attachment

Errol's bike ride can be modeled by the equation,

[tex]d(t)=-\frac{1}{4}t+2[/tex]

Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house

Y-intercept = 2, shows the distance of the school from Errol's house

Let the equation that represents the distance of Daniel's home from the school is,

y = mt + b

Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.

Since y-intercept 'b' represents the distance from his home, b = 4

Now the equation will be,

[tex]d(t)=-\frac{1}{4}t+4[/tex]

Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.

Mark is playing a trivia game on his first turn he lost 100 points his second 55 and his third 65 what is his score after the first three scores.

Answers

Answer:

-220

Step-by-step explanation:

At 7 PM, the temperature outside was -5°C. What does 1-5 represent in this situation?

Answers

Answer:

(A) The number of degrees between 0 and -5 C

Step-by-step explanation:

Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.

Answer:

An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set. The symbol ≥/ means “is not greater than or equal to.”

Step-by-step explanation:

Fraction Decimal Percent

2/3         0.666… 66.666…%

1/4         0.25 25%

3/4         0.75 75%

1/5         0.2         20%

Find the interquartile range (IQR) of the data in the box plot below.

PLZ ASAP PLZ ASAP

Answers

Answer:

3

Step-by-step explanation:

To find the IQR, use this formula:

Quartile 3 – Quartile 1

this will get you the IQR of a box and whisker plot :)

(pls mark brainliest)

Identify the y-intercept (initial value) in the function f(x)=130.27)x

Answers

Y intersect is 7 because if you make the graph you can match it.

Light travels 1.8x 10 kilometers in one minute. How far does it travel in 9 minutes?
Write your answer in scientific notation.

Answers

Answer:

162

Step-by-step explanation:

1.8x10= 18

18x9=162

Step by step solution needed ASAP

Answers

Answer:

±16

The principle value is 16

Step-by-step explanation:

sqrt(8) * sqrt(32)

We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(8*32)

sqrt(256)

sqrt(16*16)

±16

The principle value is 16

Answer: 16

Step-by-step explanation:

[tex]\sqrt{8} *\sqrt{32}[/tex]

Combine

[tex]\sqrt{256}[/tex]

Simplify by finding the greatest perfect square

[tex]\sqrt{4*64}[/tex]

[tex]16[/tex]

Hope this makes sense

helllppppp me pleaseeeee REEEEEEEEEEEEE​

Answers

Answer:

[tex]2\dfrac{1}{4}[/tex]

Step-by-step explanation:

[tex]-5\dfrac{1}{4}-(-7\dfrac{1}{2})=[/tex]

[tex]-5\dfrac{1}{4}+7\dfrac{2}{4}=[/tex]

[tex]2\dfrac{1}{4}[/tex]

Hope this helps!

Which choice is correct..Thanks

Answers

Answer:

Construct two [intersecting, perpendicular] diameters and connect the four endpoints

Construct two diameters and connect the four endpoints

HELPPPPP NOWWWW PLEASEE

Complete the following DistributiveProperty questions.

1.) 7(x+6)
a.)7x + 42
b.)7x +13
c.)x + 42
d.)7x + 6

2) 7(5 + x)
a.)2 + 7x
b.)35 + x
c.)12 + x
d.)35 + 7x

3) 3(7x - 8)
a.)13x
b.)21x - 8
c.)7x - 24
d.)21x - 24

4) m(3n + 7)
a.)3mn + 7m
b.)3mn + 7
c.)3m + 21n
d.)3m + 7n

Answers

Answer:

1. a

2.d

3.d

Step-by-step explanation:

Answer:

1.A

2.)D

3.)D

4.)A

Step-by-step explanation:

7(x+6) you multiply 7 * x and then 7*6 that gives you 7x+6

7(5+x) you multiply 7*5 then 7*x that gives you 35+7x

3(7x - 8) you multiply 3*7x then 3*-8 that gives you 21x-24

m(3n + 7) you multiply m*3n then m*7 that gives you 3mn+7m


Simplify the product of
(3+/7)(3-/7) that you found in the previous step.
found in the previous step
(3+/7)(3-/7)=

Answers

Answer:

2

Step-by-step explanation:

Correct on Edge 2020 :)

The product of expression (3 + √7) (3 - √7) is, 2.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ (3 + √7) (3 - √7)

Now, We can multiply the number as,

⇒ (3 + √7) (3 - √7)

⇒ (9 - 3√7 + 3√7 - 7)

⇒ 9 - 7

⇒ 2

Learn more about the multiplication visit:

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Michelle wants to run a total of 15 miles per week. She runs 3 miles
each day d that she runs. Will she meet her goal by running 5 days
per week?

Answers

Answer:

Yes because 3x5 is 15

Step-by-step explanation:

Savannah is baking cookies with a recipe that calls for 6 cups of sugar to make 27 cookies. Savannah wants to make 72 cookies. How much sugar, in cups, does she
need?.

Answers

Answer:

16 cups of sugar

Step-by-step explanation:

27 x 2 2/3 = 72  So 2 2/3 x 6 = 16  

If 6 cups of sugar is used to make 27 cookies. Then 16 cups of sugar is used to make 72 cookies.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

Savannah is baking cookies with a recipe that calls for 6 cups of sugar to make 27 cookies.

We need to find how much sugar she has to add to make 72 cookies.

To find this we have to form an equation.

Let x be number of cups of sugar to make 72 cookies

6/27=x/72

Apply cross multiplication

72×6=27x

432=27x

Divide both sides by 27

x=16

Hence, 16 cups of sugar is required to make 72 cookies.

To learn more on Ratios click:

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please calculate the volume of the cylinder below. use 3.14 as approximation for Pi. (MIDDLE SCHOOL MATH)​

Answers

the answer is V≈254.47

Help. Rounded to the nearest tenth.

Answers

Answer:

sorry i dont this answer

Answer:

0.79

Step-by-step explanation:

Let's find the area of these two shapes- the square and the circle.

For the square, we know the area is length times width, which is 4x4, which is 16.

For the circle, the area is [tex]\pi r^2\\[/tex] and r is 2, so the area of the circle is 12.56.

Dividing 12.56 by 16, we get a number roughly around 0.79.

Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 6% if no money is added or withdrawn from the account answer the following questions how much will be in the account in four years how much will be in the account after 16 years how many years will it take for the account to contain $2000 How many years will it take for the account to contain $2500

Answers

Answer:

In 4 years = $1,893.72

In 16 years = $3,810.53

years to contain $2,000 = 4.9371454128

years to contain $2,500 = 8.766692911

Step-by-step explanation:

In 4 years

A = 1,500 (1 + 0.06)^4

  = $1,893.72

In 16 years

A = 1,500 (1 + 0.06)^16

   = $3, 810.53

to find number of years

t = ln (A/P) / ln (1+r)

when A = 2,000

t = ln(2,000/1,500) / ln(1+0.06)

 = 4.9371454128 years

when A = 2,500

t = ln(2,500/1,500) / ln(1+0.06)

 = 8.766692911 years

PS: You can also use log in place of ln

The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.

Calculation of future value and the number of years it takes

Let:

PV = Present value = $1,500

r = Interest rate = 6%, or 0.06

n = number of years

FVn = Future value after a certain number of years

Therefore, we have:

The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:

FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72

Therefore, the amount that will be in the account in four years is $1,893.72.

The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:

FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53

Therefore, the amount that will be in the account after 16 years is $3,810.53.

The number of years will it take for the account to contain $2000 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years

Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.

The number of years it will take for the account to contain $2500 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years

Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.

Learn more about future value here: https://brainly.com/question/13504821.

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!! HELP ASAP!!

A stack of wood 4 feet wide, 8 feet long, and 4 feet high is equal to 1 cord of wood. How many cords would a pile 4 feet wide, 16 feet long, and 4 feet high contain?

Answers

Answer:

2 cords

Step-by-step explanation:

Answer:2 cords

Step-by-step explanation:

Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute

Answers

Answer:

48

Step-by-step explanation:

240/5 = 48

Answer:

48 push ups in 1 minute

Step-by-step explanation:

We can use a ratio to solve

240 pushups

-----------------------

5 minutes

Divide each by 5

48 pushups

--------------------

1 minutes

Tim has read 40​% of a book. He has 36 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

60 pages

Step-by-step explanation:

1)100%-40%=60%(left to read)

2)So, 60%-36p.

         40%-(x)p.

3)60x=40*36

  60x=1440

       x=24(pages he has already read)

4)24+36=60 pages in total

Ann wants to buy a coffee machine. She knows, that during the holidays, the probability of a discount of more than 10% is 0.87, on weekends, the probability of a discount of more than 10% is 0.38, and on a regular weekday, it is 0.17. On average there are 15 holidays per year, 100 weekends (holiday weekends are excluded) and 250 weekdays. Find the probability of a discount of more than 10% for the randomly chosen day. Find the probability that it was a weekend if it is given that she bought a machine with a discount of more than 10%.

Answers

Answer:

Let's denote:

P(discount on 15 holidays) = P(A) = 0.87

P(discount on 100 weekends) = P(B) = 0.38

P(discount on 250 weekdays) = P(C) = 0.17

=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360

          = 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360

          = 0.26

Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:

P  = 100/(100 + 250 + 15) = 0.27

Hope this helps!

:)

Answer:

1. 0.256

2. 0.406

Step-by-step explanation:

Total days:

15 + 100 + 250 = 365

P(more than 10% discount)

= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)

= 1871/7300

0.2563013699

P(weekend/more than 10% discount)

= (0.38×100/365) ÷ (1871/7300)

= 760/1871

0.4061998931

-3x+1/2=3/8
Whats x? pls someone help step by step

Answers

Answer:

x = -1/24 = -0.042

Step-by-step explanation:

Step  1  :   Simplify  3/8

Step  2 :

Rewriting the whole as an Equivalent Fraction

Step  3  :

Calculating the Least Common Multiple

Equation at the end of step  3  :

 24x + 1

 ———————  = 0  

    8  

Last step:

Solving a Single Variable Equation :

5.2      Solve  :    24x+1 = 0  

Subtract  1  from both sides of the equation :  

                     24x = -1

Divide both sides of the equation by 24:

                    x = -1/24 = -0.042

Hope this helps.

Hi! I really need help with this!
the volume of a cuboid is 10.4cm^3, calculate its base area given that its height is 1.2cm.
Thanks !!!!!!​

Answers

Answer:

Step-by-step explanation:

Volume of cuboid = 10.4 cm³

area of base  * height = 10.4

area of base * 1.2 = 10.4

[tex]area of base = \frac{10.4}{1.2}\\[/tex]

area of base = 8.67 cm²

Answer:

Step-by-step explanation:

AC =
Round your answer to the nearest hundredth.
40°

Answers

This rounded to the nearest hundred is 50°

Maria wraps the gift she is taking to a friend’s birthday party. She doesn’t have much paper, so she does not overlap any of the edges. The dimensions of the box are: width is 30 cm, length is 15 cm, and height is 20 cm. How much paper did it take to cover the gift?

Answers

Answer:

Total paper required to wrap the gift without any overlaps: [tex]2700\ cm^{2}[/tex]

Step-by-step explanation:

Here, we need to find the total paper required without any sides overlapping to wrap the gift.

The gift is of cuboid type.

Given the following:

Length = 15 cm

Width = 30 cm

Height = 20 cm

Please refer to the attached figure.

We can infer that to find the paper required, we actually need to the find the total surface area of the cuboid.

Because the gift wrap will be done on the faces of gift (which is of cuboid shape).

Formula for Surface Area of Cuboid:

[tex]\text {Area = } 2 \times (\text{Length}\times \text{Width} + \text{Width}\times \text{Height} + \text{Length}\times \text{Height} )\\\\\Rightarrow 2 \times (15 \times 30 + 30 \times 20 + 15 \times 20)\\\Rightarrow 2 \times (450 + 600 + 300)\\\Rightarrow 2 \times (1350)\\\Rightarrow 2700 cm^{2}[/tex]

Hence, total paper required to wrap the gift without any overlaps: [tex]2700 cm^{2}[/tex]

Please help please really important question

Answers

Answer: The Median because the distribution is skewed to the right

Step-by-step explanation:

Sophia and Jackson are both saving money for college. Sophia has already
saved $700 and plans on saving $60 a week from her part time job as a
waitress. Jackson has not saved any money yet, but he just got a job as a
bank teller and plans on saving $80 week. How long will it take before Sophia
and Jackson have saved the same amount of money?

Answers

Answer:

33.5 weeks

Step-by-step explanation:


A square has one of its sides increased by 7 inches and the other side decreased by 4 inches. Which of the following represents the area of the square?

Answers

Answer:

Step-by-step explanation:

both the length and the width of a square is the same measurement.

so if both measured to "x" then that means one side increase +7.

so one side is x + 7

and the other side decreased -4

so the other side is x - 4

area of square = length x width or just one of the sides to the power of 2

so (x+7) * (x-4) = Area

x^2 + 3x - 21 = area

Answer:

x^2-11x+24

Step-by-step explanation:

The area of a quad is lw

So, the formula would be (x-7)(x-4)

When you multiply it, it turns to be x^2 - 11x + 24

I think thats the answer

there are no choices so the answer might be in the wrong form

If you answer this correct I mark you Brainelst:
Martha has eighteen marbles see loses 90 and then throws away her dignity whats the the answer? PS: you have to answer the dignity part to! If not then its wrong!

Answers

Answer:

72 and dignity is not important

Step-by-step explanation:

I think

A mill processes 48 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if its rate or production stays the same?

Answers

Answer:

128 tons can be processed in 8 hours.

Step-by-step explanation:

48 divided by 3 = 16 (to see how much tons are produced in 1 hr.)

16 x 8

  =128

Answer:

128 tons in 8 hours

Step-by-step explanation:

do 48 divided by 3 = 16      

to see how much tons get produced in an hr.

then when you do 16x8 which is 128

Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car 1
350 miles
in 5 hours
Car 2
240 miles
in 4 hours
Car 3
320 miles
in 5 hours
Car 4
420 miles
in 6 hours​

Answers

Answer:

Car 1 and Car 4

Step-by-step explanation:

Car 1-70mph

Car 2-60mph

Car 3-64mph

Car 4-70mph

So, its Car 1 and Car4

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