If a closet organizer has a total width of 69 1/8 inches and the closet is 69 3/4 inches wide, will the organizer fit?

26.27 kgm⁻³

Density is the ratio of  mass to volume

Density = Mass / Volume

Let us assume tree is a cylinder,

d= 1

r = d/2 = 0.5 m

h= 20 m

m= 420kg

Volume = π r²h

              = 22/7 x o.25 x 20

Density = mass / volume

              = 420 / 22/7 x o.25 x 20

              = 26.27 kgm⁻³

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The width of rectangle is 5 feet.

Let us assume the length of rectangle to be x. So, the width of rectangle will be (x - 3).

Now, as per the known fact, perimeter, length and width of rectangle are related by the formula -

Perimeter = 2 × (length + width)

Keep the values in formula to find the value of width

26 = 2 × (x + x - 3)

Performing addition of variables inside the bracket

26 = 2 × (2x - 3)

Shifting 2 to other side of equation to find the value of x

2x - 3 = [tex]\frac{26}{2}[/tex]

Performing division to find the value of x

2x - 3 = 13

Shifting 3 to other side of equation to find the value of x

2x = 13 + 3

Performing addition to find the value of x

2x = 16

Shifting 2 as denominator to other side of equation to find the value of x

x = [tex]\frac{16}{2}[/tex]

Performing division to find the value of x

x = 8

So, length of rectangle is 8 feet

Width of rectangle = x - 3

Width of rectangle = 8 - 3

Width of rectangle = 5 feet

Hence, the width of rectangle is 5 feet.

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The value of the quantity d is 0.0462 m^2/s.

Here,

The quantities a=3.7m, b=3.7s, c=80m/s.

We have to find the value of d = a^3/cb^2

What is quantity?

A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.

Now,

The quantities a=3.7m, b=3.7s, c=80m/s.

The value of d;

[tex]d = \frac{a^{3} }{cb^{2} }[/tex]

[tex]d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }[/tex]

[tex]d = \frac{3.7}{80}[/tex]

[tex]d = 0.0462[/tex]

Hence, The value of the quantity d is 0.0462 m^2/s.

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In step 1 mistake has been made because negative multiplication gives a positive result but is written negative.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given that,

−4(6−y) + 4 = −4

By using distribution property

-24 + 4y + 4 = -4

But in the question +4y is written as -4y which is wrong.

Hence In step 1 negative multiplication gives a positive result but is written negative so in step 1 mistake has been made".

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The given question is not complete.

Consider this solution to a problem.

Problem: −4(6−y)+4=−4

Step 1: −24−4y+4=−4

Step 2: −20−4y=−4

Step 3: −4y=16

Step 4: y=−4

In the first response box, enter the number of the step where the mistake is made.

Answer:

hi loll

Step-by-step explanation:

Answer:

70.42 kilometers.

Step-by-step explanation:

43 minutes/60 minutes (1 hour is 60 minutes) = 0.71 hours.

Now we set up a problem here.

50 kilometers/0.71 hours = x kilometers/1 hour

We multiply out 1 hour and cancel out from both sides.

50/0.71 kilometers = 70.42 kilometers.

Therefore, the train was traveling at 70.42 kilometers per hour.

The numeric values for the functions are given as follows:

6 - a) f(-2) = -13.

6 - b) g(4) = 11.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

At item 6a, the function is given by:

f(x) = 5x - 3.

The numeric value at x = -2 is:

f(-2) = 5(-2) - 3 = -10 -3 = -13.

Hence f(-2) = -13.

At item 6b, the function is given by:

g(x) = 0.5x² + 3.

The numeric value at x = 4 is:

g(4) = 0.5(4)² + 3 = 8 + 3 = 11.

Hence g(4) = 11.

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Answer:0.81285714285

Step-by-step explanation: bc you are deviding by a desimal

Jorge mowed 18 lawns.

Let the number of lawns mowed by Jorge =x

So according to the question

Number of lawns mowed by sandra = x/3

Number of lawns mowed by Danny =x/2

Number of lawns mowed by Valeria =16

sum of total lawns mowed = lawns mowed by Jorge + lawns mowed by sandra + lawns mowed by Danny + lawns mowed by Valeria.

[tex]x+\frac{x}{3} +\frac{x}{2} +16=49[/tex]

taking LCM as 6 and solving further we get

[tex]\frac{6x+2x+3x+96}{6} =49[/tex]

By cross Multiplying we get

11x+96=294

11x=198

Solving further for x,

x=198/11

x=18

Therefore,  the number of lawns mowed by Jorge is 18 .

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Answer:

Step-by-step explanation:

We can start by solving for t using the fact that  [tex]cos(t) = \frac{2}{9}[/tex].

[tex]t = cos^{-1}(\frac{2}{9}) = 77.16\\[/tex]

then using that value of t solve for sin(t)

sin(t) = 0.975

As cos(t) is given and t is in the first quadrant then sin(t) will be equal to 8.77/9.

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the information in the question,

cos(t) = 2/9

As we know that cos θ = B/H

B = 2 and H = 9

Now, use Pythagoras's theorem,

H² = P² + B²

P² = 9² - 2²

P = √77

P = 8.77

We also know that sin θ = P/H

So, sin(t) = 8.77/9

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Answer:

-4

Step-by-step explanation:

x is a variable, so to do g(2) you have to write g(x), but substitute 2 in place of x:

g(2) = 4*2² + 2*2 - 24 = 16 + 4 - 24 = -4

Answer:

Step-by-step explanation:

x = -3 to 3

means that they are asking for the graph from -3 to 3 on the x-axis

gradient is (-1/2) which means rise is -1 when run is 2

y-intercept is 3.

go to 3 on the y axis which means the coordinate (0,3) go downwards by 1 and to the right by 2. This will lead you to coordinate (2,-1). Now connect both points by a straight line.

Angle 5 = 180 - 146 = 34

Angle 6 = 146 since vertical angles are congruent

Angle 7 = 34 since vertical angles are congruent, or you could say 180-146 = 34 again. Any pair of adjacent angles add to 180. All four angles add to 360.

The value of the radius r is 9.35 cm.

The dimensions of the triangular prism is 62 cm × 62 cm × 85 cm.

The volume of the prism will be:

Volume = (1/2) × 62 × 62 × 85

Volume = 163370 cm³

Now,

The volume of solid removed: The volume of remaining solid = 1 : 6

Therefore,

The solid removed = ( 1 / 7 ) of the total volume

Solid removed = ( 1 / 7 ) × 163370

Solid removed = 23338.57 cm³ which is the volume of the cylindrical hole.

Now, the volume of the cylinder is:

V = π (r)² h

23338.57 = π (r)² × (85)

23338.57 = (3.142) × (r)² × (85)

23338.57 = 267.1 r²

r² = 87.38

r = √(87.38)

r = 9.35 cm

The surface area of the triangular prism:

A = (1/2) (b) (h)

A = (1/2) (85)(62)

A = 2653 cm²

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Walmart's EBIT for the year 2018 is $17,101.

To find Walmart's EBIT:

Therefore, Walmart's EBIT for the year 2018 is $17,101.

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The correct question is given below:

What is Walmart's EBIT for the year of 2018 (round it to 3 numbers after the decimal point -> 0.581)?

EBIT= net income (Listed as "Net IncomeAvail to Common, GAAP" in Statement) + net income attributable to noncontrolling interest ("Listed as Income Loss Incl. MI Minority Interest" on Statement) + income taxes + interest expense (Interest Expense Net + "Interest Income" from the Statement ) (A financial statement would be provided).

Answer: 36

Step-by-step explanation:

First you plot down all the factors of 180.*

*180 1, 90 2, 60 3, etc.

Then you do the same for 504.*

*504 1, 252 2, etc.

Once you do that you look through and find the common factor, and you'll find that 180/5=36, and 504/14=36, finding you your GCF.

Answer:

174

Step-by-step explanation:

absolute value means the distance from zero.  Distance is always measured with a positive number.  If you asked me how far I lived from my work, I would never say -12 miles away.  If I was going or coming to work, the distance would be the same 12 miles.

134 + 4 + 35 = 174

Answer: y=0.5x+0.5

Step-by-step explanation:

[tex]\displaystyle\\(1,1)\ \ \ \ (-3,-1)\\\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }\\\\x_1=1\ \ \ \ x_2=-3\ \ \ \ y_1=1\ \ \ \ y_2=-1\\\\\frac{x-1}{-3-1}=\frac{y-1}{-1-1} \\\\\frac{x-1}{-4}=\frac{y-1}{-2} \\[/tex]

Multiply both parts of the equation by -2:

[tex]\displaystyle\\\frac{x-1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2}+1 =y-1+1\\\\\frac{x}{2}+\frac{1}{2} =y \\[/tex]

Thus,

y=0.5x+0.5

Answer:

Step-by-step explanation:

Answer:

The surface area is the sum of all the faces (or surfaces) of a 3D shape. Composite figures are 2 figures put together. (There is an example of a composite figure below) You find an area of both shapes and then add them together, to find the area of the full figure.

Step-by-step explanation:

Step-by-step explanation:

a is 5, b is 24, c is 2 and d is 2

Answer:

not sure what you were asking, but its 15 cups of purple paint

Answer:

x + 2x - 3 = 26

Step-by-step explanation:

Define the variables:

If Maya's car is 3 inches less than 2 times the length of Nate's car, then:

⇒ y = 2x - 3

If the sum of the lengths of both cars is 26 inches, then:

⇒ x + y = 26

Substitute the found expression for y into the equation:

⇒ x + y = 26

⇒ x + (2x - 3) = 26

⇒ x + 2x - 3 = 26

Therefore, the equation to determine the lengths of Nate'a and Maya's cars is:

[tex]\boxed{x + 2x - 3 = 26}[/tex]

Solving the equation for x

⇒ x + 2x - 3 = 26

⇒ 3x - 3 = 26

⇒ 3x - 3 + 3 = 26 + 3

⇒ 3x = 29

⇒ 3x ÷ 3 = 29 ÷ 3

⇒ x = 9.7 in (nearest tenth)

Therefore, Nate's car is 9.7 in (nearest tenth).

To find the length of Maya's car, subtract the length of Nate's car from 26:

⇒ 26 - 9.7 = 16.3 in (nearest tenth).

Therefore, Maya's car is 16.3 in (nearest tenth).

Answer:

d) x + 2x - 3 = 26

Step-by-step explanation:

Given that,

→ Maya's car is 3 inches less than 2 times the length of Nate's car.

→ The sum of the lengths of both cars is 26 inches.

Now the equation will be,

→ x - 3 + 2x = 26

→ x + 2x - 3 = 26

→ 3x = 29

Hence, option (d) is correct answer.

Answer:

[tex]x=4,\:x=-\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]x\left(2x-5\right)[/tex]

Apply the distributive law.

[tex]=x\cdot \:2x-x\cdot \:5[/tex]
[tex]=2x^2-5x[/tex]
[tex]2x^2-5x=12[/tex]
Subtract 12 from both sides.
[tex]2x^2-5x-12=12-12[/tex]
[tex]2x^2-5x-12=0[/tex]
Now, apply the quadratic formula.
[tex]x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-12\right)}}{2\cdot \:2}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-5\right)\pm \:11}{2\cdot \:2}[/tex]
Separate the solutions.
[tex]x_1=\frac{-\left(-5\right)+11}{2\cdot \:2},\:x_2=\frac{-\left(-5\right)-11}{2\cdot \:2}[/tex]
Simplify.
[tex]x=4,\:x=-\frac{3}{2}[/tex]

The dimensions of the rectangle that has the perimeter 134 inches is, 52 x 15 inches.

Perimeter of the Rectangle:

Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides.

The formula for the perimeter of a rectangle,

P = 2 (a + b) units

where

“a” is the length of the rectangle

“b” is the breadth of the rectangle

Given,

The length of a rectangle is seven more than triple the width.

Perimeter of the rectangle = 134inches.

Now we need to find the dimensions of the rectangle.

First, let's define the length of the rectangle as l and the width of the rectangle as w.

Next, we can write the relationship between the length and width as:

l = 3w + 7

We also know the formula for the perimeter of a rectangle is:

=> p = 2(l + w)

So, apply the given values on it,

=> 134 = 2 (3w + 7 + w)

=> 134/2 = 4w + 7

=> 67 = 4w + 7

=> 67 -7 = 4w

=> 4w = 60

=> w = 60/4

=> w = 15

So, the length is,

=> l = 3(15) + 7

=> l = 45 +7

=> l = 52.

Therefore, the dimensions of the rectangle is 52 x 15 inches.

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Answer:

Step-by-step explanation:

first we can turn these mixed fractions into normal numbers so

1.42<.336 FALSE

.54>1.357 false

.615>.96 false

1.16>1.83 TRUE

The y-intercept of the given exponential function would be represents the initial value of the investment is $500 which is the correct option (B).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

The given exponential function f(x) = 500(1.03)ˣ

Here x would be represented growth of the savings plan per year

To determine the y-intercept of the function

We have to substitute the value of x = 0 in the given function,

⇒ f(x) = 500(1.03)⁰

⇒ f(x) = 500(1)

⇒ f(x) = 500

Therefore, the y-intercept of the given exponential function would be represents the initial value of the investment is $500.

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Answer:

The and is –6

Step-by-step explanation:

–2A= –2[0 , –6]

2B= 2[–8 , –1]

–2A= –2 [0 , +12]

2B= 2[–16 , –2]

–2A + 2B=[0 ,12] + [–16 ,–2]

=[0+(–16) + 12+(–2)]

=[0–16+12–2]

= –16+10

= –6.

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