John is building a rectangle pen for his sheep. The length of the pen is 5 more than 8 times the width of the pen

Answer:

x is 5 cm

Step-by-step explanation:

From pythogras theorem:

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

a is x cm

b is 12 cm

c is 13 cm

[tex] {x}^{2} + {12}^{2} = {13}^{2} \\ {x}^{2} = {13}^{2} - {12}^{2} \\ {x} = \sqrt{ {13}^{2} - {12}^{2} } \\ x = \sqrt{169 - 144} \\ x = \sqrt{25} \\ x = 5 \: cm[/tex]

Answer:

length × width = area

440.5 = 5 × length

length = 440.5 / 5

length = 88.1

so haway is 88.1 foot long

the length of the hallway is 88.1 feet. To find the length of the hallway, we need to use the given information about the width of the hallway and the total area of the carpet required to cover it.

Given:

Width of the hallway = 5 feet

Area of carpet required = 440.5 ft^2

Let's denote the length of the hallway as "L" (in feet).

The area of a rectangle (such as the hallway) is given by the formula:

Area = Length * Width

In this case, the area is given as 440.5 ft^2, and the width is given as 5 feet. Now we can set up the equation:

440.5 = L * 5

To find the length (L), divide both sides by 5:

L = 440.5 / 5

L = 88.1

So, the length of the hallway is 88.1 feet.

To know more about length:

https://brainly.com/question/22497526

#SPJ3

Hi ;-)

7/9 + 6/8 + 6/3 = 7/8 + 3/4 + 2 =

= 28/32 + 24/32 + 2 = 52/32 + 2 =

= 1 20/32 + 2 = 3 20/32 = 3 5/8

Answer:

the answer is three and nineteen over thirty-six

[tex]3 \19 \36[/tex]

Answer:

You will need 5,253 tiles.

Step-by-step explanation:

17 kitchen floors x 309 tiles for each floor = 5,253 tiles total

Answer:

The answer is 5253

Step-by-step explanation:

We will use the unitary method

Make two columns one for kitchen floors and one for tiles

In the first row you will put 1 kitchen floor and 309 tiles

In the second row you will put 17 kitchen floors and x tiles

Then crossmultiply and 17x309 is equal to 5253

Answer:

4950

Step-by-step explanation:

first find the smallest multiple of 3 thats >100, 3*33=99, so 3*34=102 is the smallest multiple of 3 >100.

next find the greatest multiple of 3 <200, 3*66=198 which is the greatest multiple of 3<200

34-66+1=number of terms=33. then find the average of the terms: 102+198/2=150. 150*33=4950. the answer should be 4950

Answer:

Step-by-step explanation:

The first number in the sequence = 102

The last number = 198

The number of terms =

L = a1 + (n-1)*d

198 = 102 + (n- 1)*3                   Subtract 102

198 - 102 = (n - 1)* 3

96 = (n - 1)*3                             divide by 3

32 = n - 1                                   add 1

33 = n

Sum = (a1 + L ) * n/2

sum = (102+198)*33/2

sum = 300 * 33/2

sum = 150 * 33

sum = 4950

Jarrell should purchase 7 lbs of ground beef.

Number of attendees = 20

Fraction of burger per person = 1/3 lbs

Total fraction of burger required to feed 20 persons :

Number of attendees × fraction per person

20 × 1/3 = 6.667

The number of whole grouhd beef that should be purchased is 7 lbs

Learn more : https://brainly.com/question/2610134

Answer:

Angle DBC = 51

Step-by-step explanation:

Angle ABC = angle ABD + angle DBC

We are given that angle ABC = 122 and angle ABD = 71

So 122 = 71 + angle DBC

* Solve for angle DBC *

Subtract 71 from both sides

122 - 71 = 71 - 71 + angle DBC

51 = angle DBC

Answer:

120

Step-by-step explanation:

There are 60 seconds in one minute so you would 4 times 30 since Noel can STACK 4 BLOCKS per 2 seconds.

Answer:

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

I have no explanation for this but hope this helps

Answer:

m is 7

Step-by-step explanation:

[tex]{ \sf{ - 6(1 + 8m) = - 342}}[/tex]

divide all sides by (-6) :

[tex]{ \sf{ \frac{ - 6(1 + 8m)}{ - 6} = \frac{ - 342}{ - 6} }} \\ \\ { \sf{1 + 8m = 57}}[/tex]

make m the subject:

[tex]{ \sf{8m = 56}} \\ { \sf{m = 7}}[/tex]

Step-by-step explanation:

Write the expression

[tex] \sqrt{ \frac{3}{8} } [/tex]

Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so

[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]

Know that

[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]

So

[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]

The simplified form of the square root of 3/8 is (√6) / 4.

To simplify the square root of 3/8, we can simplify the numerator and denominator separately.

For the numerator, we take the square root of 3:

√3

For the denominator, we take the square root of 8:

√8

Now, let's simplify each of them:

√3 cannot be simplified further because 3 is a prime number.

√8 can be simplified by factoring out the perfect square:

√8 = √(4 × 2)

Since 4 is a perfect square (2² = 4), we can take it out of the square root:

√8 = 2√2

Now, let's put the simplified numerator and denominator together:

√3/8 = √3 / (2√2)

To rationalize the denominator, we multiply the expression by the conjugate of the denominator:

(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)

Simplifying the denominator:

(√3√2) / (2√4) = (√6) / (2 × 2)

Simplifying further:

(√6) / (2×2) = (√6) / 4

Therefore, the simplified form of the square root of 3/8 is (√6) / 4.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ6

Answer:

Step-by-step explanation:

This is a handy thing to know how to do.

83 = 80 + 3

7*(80 + 3)

560 + 21

581

Answer:

a. 65 - 3 x = 55 - 2.5 x

ab. 20

b. 5

Step-by-step explanation:

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let x be the number of days and y be the value of the card.

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used. Then the equations will be

y = 110 - 2.5x    ...1

y = 90 - 2x       ...2

From equations 1 and 2, we have

110 - 2.5x = 90 - 2x

20 = 0.5x

x = 40

And the value of y will be

y = 110 - 2.5(40)

y = 110 - 100

y = $10

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

More about the linear equation link is given below.

brainly.com/question/11897796

#SPJ2

Answer:

Step-by-step explanation:

We need to find the equation which is equidistant to the given points.

[tex]A(-2,6,3)[/tex] and [tex]B(5,3,-3)[/tex]

This can be done using the distance formula.

Let us take a point [tex]P(x,y,z)[/tex] which is equidistant from both points so

[tex]\sqrt{(x+2)^2+(y-6)^2+(z-3)^2}=\sqrt{(x-5)^2+(y-3)^2+(z+3)^2}\\\Rightarrow y^2-12y+x^2+4x+z^2+49-6z=y^2-6y+x^2+z^2+6z+43-10x\\\Rightarrow 7x-3y-2z+1=0[/tex]

The required equation is [tex]7x-3y-2z+1=0[/tex]

Learn more:

https://brainly.com/question/17446418

https://brainly.com/question/14256077

Answer:

-1/3

Step-by-step explanation:

this is the best answer

Answer:

2/3

Step-by-step explanation:

Pick up one of the pizzas. Cut it into three equal amounts. Do the same with the other pizza. Each slice is called 1/3.

Each person gets 1/3 + 1/3 which is called 2/3.

The amount of pizza each friend will get, as expressed as a fraction is: 2/3.

Fractions can be described as numerical quantities that are a part of a whole number but are not whole numbers.

There are 2 pizzas to be shared among 3 friends. Since 3 is greater than 2, the amount each will get will be a fraction.

Each friend will get: 2/3 pizzas.

Learn more about fractions on:

https://brainly.com/question/78672

#SPJ6

Answer:

107:107

Step-by-step explanation:

107:107 are the equivalent ratios as both numbers are same.

Answer:

9000 m

Step-by-step explanation:

One: Note that the answer is supposed to be in meters. It's easier if we just convert the 12 kilometers to meters now so we dont' have to worry about it later. 1 kilometer is 1,000 meters, so all we need to do is add three zeros to the end to make it meters:

12km=12,000m

Two: 1/4 means to divide by 4: 12,000/4= 3,000.

Three: The question is asking how much is LEFT. So we would do 12,000-3,000, which is 9000.

Answer:

35 is the answer

Step-by-step explanation:

9514 1404 393

Answer:

  51.3 km²

Step-by-step explanation:

The area formula is ...

  A = 1/2r²θ . . . . where θ is the central angle in radians

  A = 1/2(7 km)²(2π/3) = 49π/3 km² ≈ 51.3 km²

Answer:

√11 is the irrational number

Explanation:

Irrational numbers are which numbers that can't be expressed as p/q form that are irrational numbers. root 11 cant be expressed as p/q form so, this is an irrational number.

Answer:

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Answer:

1.21 ) 8

1.22) 6

1.23) €

1.24)⊂

1.25)=

Answer:

[tex]1)7 \\ 2)6 \\ 3) > \\ 4)0 \\ 5)phy[/tex]

Answer:

No.

Step-by-step explanation:

No because it can be written as a fraction, 6606/10

Answer:

10 is B

11 is C

12 is C. Simple set rules

9514 1404 393

Answer:

  5

Step-by-step explanation:

Let f represent the number of friends. Their total earnings are ...

  21f = 105

  f = 105/21 = 5 . . . . . divide by the coefficient of f

There are 5 friends in the group.