Allan built a doghouse and he wanted the house to have an area of 24 square feet. He also wanted the width to be 2/3 the length. What are the dimensions of the doghouse?

Answers

Answer 1

Answer:

Dimension of doghouse is 4ft by 6ft

Step-by-step explanation:

Here, we are interested in calculating the dimensions of the doghouse.

Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3

Now, the area of rectangle is L * B

x * 2x/3 = 24

2x^2 = 3 * 24

2x^2 = 72

diverse both sides by 2

x^2 = 36

hence x = 6ft

The width would be 2/3 * 6 = 12/3 = 4 ft


Related Questions

pls help me 13 minute left 10 POINTS

Answers

Answer:

The answer is 6.28.

Step-by-step explanation:

The formula for finding the circumference is C=2 times 3.14 times the radius of the circle. 3.14 times 2 equals 6.28 times the radius which is 1 feet (because half of 2 feet equals 1 feet). 6.28 times 1 equals 6.28.

The answer is 6.28 !!!!

Helpp pLZZZZ
Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?

Answers

Answer:

1hr 37min 18 sec

Step-by-step explanation:

Jack can mow the baseball grounds in 6 hours

Jack rate = 1/6 job/hr

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

Mike can mow the same grounds in 5 hours

Mike rate = 1/5 job/hr

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

Chris can mow the grounds in 4 hours.

Chris rate = 1/4 job/hr

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

Together rate = 1/x job/hr

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

Equation:

rate + rate + rate = together rate

[ 1/6 + 1/5 + 1/4] = 1/x

x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1

----

x(74/120) = 1

x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec

PLEASE HELP MEEEEE ITS VERY UGRENT

Answers

Answer:

4.75

Step-by-step explanation:

u = 10  a = -2  t = 0.5 (half)

need to work out u times t add 0.5 times a times t ^2

so 10 x 0.5 + 0.5 x -2 x 0.25

= 4.75

Answer:

s=4.5 m

Step-by-step explanation:

in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.

[tex]s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m[/tex]


Please I need help with this I’m stuck I need to get it right

Answers

Answer:

b

Step-by-step explanation:

Pls help with this (im not trying to be annoying)

Answers

C(8)=29 you have to plug in 8 for n in the equation and solve. Hope this helps!!!

find the perimeter of diameter 3.5 cm​

Answers

Answer: I am assuming it’s of a circle? So the answer would be rounded to 11.

Step-by-step explanation:

A cube has an edge length of 7 inches. What is its volume, in cubic inches?

Answers

Answer:

343 cubic inches

Step-by-step explanation:

7 times 7 times 7 is 343

solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square​

Answers

Answer:

Step-by-step explanation:

pls help me fast as u can
pls

Answers

Answer:

                        M5 W11 C1-CLASS ASSIGNMENT-LEVEL-1

I.Convert the following into minutes

a)2 hours 12 minutes 72  

b)7 hours 45 minutes 465

II.Convert the following into seconds.

a)1 hour 4 minutes 26 seconds 3866

b)2 minutes 43 seconds 163  

III.

a) 246 minutes= 4 hours 6 minutes

b) 117 seconds= 1  minutes 57 seconds

Step-by-step explanation:

if its wrong sorry i tried mmy best

How do i graph the quadratic function f (x)=-(x-3)(x+1)

Answers

Answers:

It's basically Inside, Outside, Outside, Inside. (I. O.O.I.)

Explanations:

Given

[tex]f(x)=-(x-3)(x+1)[/tex]

Distribute the (-1) to (x-3)

[tex]f(x)=(-x+3)(x+1)[/tex]

Now let's work the I. O. O. I.

Inside:

[tex](-x)(x)=-x^2[/tex]

Outside:

[tex](-x)(1)=-x[/tex]

Outside:

[tex](3)(x)=3x[/tex]

Inside:

[tex](3)(1)=3[/tex]

Add both the outsides (-x) and (3x) together

[tex]-x+3x=2x[/tex]

Your new equations is now.

[tex]f(x)=-x^2+2x-3[/tex]

The number of calories in 5 cups of yogurt is 750. What proportion can you set up to determine the number of calories,c, in 9 cups of yogurt

Answers

Answer:

5 9

----- = ------

750 x

Step-by-step explanation:

Answer:

750 / 5  = c / 9

Step-by-step explanation:

Pleaseee answer fast!!!! Solve the system of equation: y= 7/2x-3 and y= 7/2x +3

Answers

Answer:

The answer is no solution because these two lines have the same slope, meaning they are parallel. Parallel lines never intersect.

Answer:

No solution.

Step-by-step explanation:

Because y equals 7/2x-3, and 7/2x+3, we can say that both of these equations are equal to each other.

Thus, we have 7/2x-3=7/2x+3

(7/2)x-6=(7/2)x

x-6=x

-6=0

This is a false statement, so therefore this system of equations has no solution.

However, you can clearly see this as these lines are parallel lines as they have the same slope, 7/2. The solution to  a system of equation is the intersecting point, but as we know about parallel lines they  never intersect!

Hope this helps!

The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16

Answers

Answer:

Given below

Step-by-step explanation:

The algebraic identity is (a-b)^2

= a^2 + b^2 - 2ab

So it'll be,

(x-4)^2

= x^2 + (4)^2 - (2)(x)(4)

= x^2 -8x + 16

or x^2 +16 -8x

The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).

What is algebra?

Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.

The expression is given in the question, as follows:

(x-4)²

As we know that the sum of square identity (a-b)² = a² + b² - 2ab

So x² + (4)² - (2)(x)(4)

x² -8x + 16 or

x² + 16 -8x

This expression is equivalent to the given expression.

Hence, the correct answer would be an option (C).

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integ

Answers

Slope = 4 but I need to get to 20 characters to reply to this question. Have a nice day
Slope is 4. Smell ya later

Associative
Property

Answers

Answer:

Below

Step-by-step explanation:

The associative property states that you can add or multiply numbers in any group.

Ex:

x + y + z = x + y + z

(x + y) + z = x + (y + z)

x * y * z = x * y * z

(x * z) * y = (x * y) * z

Addition: According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped or arranged. Here's an example of how the sum does NOT change irrespective of how the addends are grouped.

Multiplication: According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.

Division and Subtraction = NO ASSOCIATIVE PROPERTY

For which rational expressions is 5 an excluded value? Select two options.
X+5/X-5
x²-5/x² +5
X-3/x² - 25
2 x + 1/x2 + 25
X-5/
x² + 5x

Answers

Answer:

first one and the second one.

Step-by-step explanation:

nothing :)

Answer:

this is right

Which fraction is less than the fraction represented by the model?

Answers

Answer:

fraction represented by model = 5/8

fraction less than model = 2/4

The fraction that is less than the fraction represented by the model is 2/4, the correct option is D.

What is a Fraction?

A fraction is a number that is the part of the whole.

It is represented in the form of p/q, where q is not equal to zero.

The figure has a circle in which sections have been divided.

There are some shaded sections and some non-shaded sections.

The number of shaded section is 5.

The number of non-shaded section is 3.

The total sections are 8.

The fraction that is represented by the model is 5/8.

The model shown is a visual way to represent and understand fractions.

The fraction = 0.625

The fraction in the options are,

3/4 = 0.75

11/16 = 0.6875

13/16 = 0.8125

2/4 = 0.5

0.5 < 0.625

2/4 < 5/8

To know more about Fraction

https://brainly.com/question/10354322

#SPJ5

Can someone please explain what I did wrong here? Thank you!

Answers

Answer: The total number of ways is wrong. Since there is 12 members, each of them could be the president, vice president, etc.

Step-by-step explanation:

How would you go on dividing 7/893​

Answers

Answer:

0.00783874

Step-by-step explanation:

7/893= 0.00783874

I just put it in the calculator  

What is the value of [2/3]-4

Answers

Answer:

option 4

Step-by-step explanation:

[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\(\frac{2}{3})^{-4}=(\frac{1}{\frac{2}{3}})^{4}\\\\=(\frac{3}{2})^{4}\\\\=\frac{3^{4}}{2^{4}}\\\\=\frac{81}{16}[/tex]

City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?City Middle School held its annual musical production last weekend. Of the 700 tickets sold, 55% were for the Saturday performance. How many tickets were sold for the Saturday show?

Answers

Answer: 385 tickets

Step-by-step explanation:

From the question, City Middle School held its annual musical production last weekend and of the 700 tickets that were sold, 55% were for the Saturday performance. The number of tickets that were sold for the Saturday show will be 55% of 700. This can be expressed mathematically as:

= 55% of 700

= 55/100 × 700

= 55 × 7

= 385 tickets

385 tickets were sold for the Saturday show.

Answer:

ITS IS A= 385

Step-by-step explanation:

is x^2 + y^2 = 5 a function

Answers

Answer:yes

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Eight students were asked how many books they read last summer. Their answers are shown in the line plot below.



Find the range and the mode for the data.

(a)range:
(b)mode:

Answers

Answer:

(a). Range is 6 (b). Mode is 5.75

Step-by-step explanation:

Finding range: Subtract the smallest value (2) from the largest value (8).

Finding mode: Add all the values (for each "x" you add the value that it corresponds to) and then divide them by the number of x's.

please help , factor 6x^2-33x+15 A. 3(2x-5)(x+1) B. 3(x+1)(2x+5) C. 3(2x-1)(x+5) D. 3(x-5)(2x-1)

Answers

Answer:

D

Step-by-step explanation:

Since the end term is positive, we know the 1 and 5 must both be positive or negative. However since -33x is negative, we know 1 and 5 are both negative too

Answer:

3(2x-1     )(x-5   )  

Step-by-step explanation:

6x^2-33x+15

Factor out the greatest common factor

3(2x^2 -11x +5)

Factor inside the parentheses

3(2x     )(x   )  

We need to get to -11 so the the only factors of 5 are 1 and 5 and they have to be negative

3(2x-1     )(x-5   )  

2 * -5 + -1 = -10-1 = -11

if james is 9years old and his sister rose is 15 years . what is the sum of their ages​

Answers

Answer:

24 years

Step-by-step explanation:

James Age = 9 years

Rose's Age = 15 years

Sum of their Ages = 9+15

Sum of their Ages = 24 years

How many real number solutions exist for 2x2 + 8x + 8 = 0?

A. 0
B. 1
C. 2
D. 3
Whats the answer i rlly need help

Answers

Answer:

B

Step-by-step explanation:

2x^2+8x+8=0

x^2+4x+4=0

(x+2)^2=0

so B, 1 solution

. It takes Serina 15 seconds to drive to school. Her route is 16,000 meters long. What is Serina’s average speed on her route?

Answers

[tex]answer \\ = 1066.67m / s \\ solution \\ distance \: travelled = 16000 \: m \\ time \: taken = 15 \: seconds \\ speed = \frac{distance}{time} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{16000}{15} \\ \: \: \: \: \: \: \: \: \: \: \: = 1066.67 \: m/s \\ hope \: it \: helps[/tex]

Answer:

[tex] = 1,066.67m {s}^{ - 1} \\ [/tex]

Step-by-step explanation:

[tex]speed = \frac{distantce}{time} \\ = \frac{16000}{15} \\ = 1,066.67m {s}^{ - 1} [/tex]

hope this helps you

brainliest appreciated

good luck! have a nice day!

Melanie is walking a path around a circular path to view all of the artwork painted on the cement edge. The circular fountain has a radius of 30 feet. If Melanie only walked around the fountain once, how far did she travel?

Answers

18.8 feet, 59.1 feet to the nearest tenth
Step-by-step explanation:
The diameter is the line drawn that divides the circle into two while the circumference is the perimeter of the circle. Both are a measure of the radius of the circle.
The diameter D = 2r where r is the radius of the circle
The circumference = 2Πr = ΠD where Π = 22/7
Given that the circular fountain has a radius of 9.4 feet
Its diameter =  2 × 9.4 feet = 18.8 feet
The circumference = 22/7 × 18.8 feet
=59.09 feet
≈ 59.1 feet to the nearest tenth

While training for an Ironman competition, Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. Johnson completed this routine twice a week. How far did Johnson travel in one week while training, in meters?

Answers

Answer:

55020 metres

Step-by-step explanation:

Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. He did this twice a week.

To find the total distance traveled in one week in metres, we first add up the distances and multiply by 2 and then convert to metres.

The sum of the distances is:

0.86 + 22.4 + 4.25 = 27.51 km

Multiply by 2:

27.51 * 2 = 55.02 km

1 km = 1000 metres

55.02 km = 55.02 * 1000 = 55020 metres

He traveled 55020 metres while training.

A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 3 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?

Answers

This would make a right triangle. Use the Pythagorean theorem to solve.

X = sqrt(14^2+ 3^2)

X = sqrt( 196 + 9)

X = sqrt(205)

X = 14.3178

Rounded = 14.3 miles

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