You have several boxes with the same dimensions. They have a combined volume of 4x4-21x²-46x + 219x + 180. Determine whether the binomial below could represent the number of boxes you have.

x+3

A) Yes; x+3 divides evenly. you get 4x^3-33x^2+53x+60
B)No; x-3 does not divide evenly. You get 4x^3-33x^2+53x+60 with a remainder of 12.
C)No; x+3 divides evenly. you get 4x^3-33x^2+53x+60
​

In the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.

Length of a line segment is the distance of both the ends of it.

The length of the line segment TU is 6 units.

[tex]TU=6\rm\; units[/tex]

In the figure attached below, the length of line segment RT is 12 and RS is 24. Thus, the value of RS is double than the value of RT.

[tex]RT=2RS\\RS=\dfrac{RT}{2}[/tex]

RS is the total length of the segment, which is equal to the length of RT and ST.

[tex]RT+ST=24\\12+(SU+UT)=24\\(SU+UT)=24-12\\SU+UT=12[/tex]

12 is the length of RT. Thus,

[tex]SU+UT=RT[/tex]

Hence, in the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.

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Answer:

Cora worked 3 hours

Step-by-step explanation:

104 = 18x + 50 ( x = # of hours worked)

54 = 18x   ( subtracted 50 from both sides)

3 = x    ( divided both sides by 18)

Answer:

Adjacent angles.

Step-by-step explanation:

a and b are next to each other on a straight line.

Answer:

x = 0.86

Step-by-step explanation:

(3x - 1)(x + 6) = 3.14159 × (x + 1)²

3x² + 17x - 6 = 3.14159 × (x² + 2x + 1)

-0.14159x² + 10.7168x - 9.14159 = 0

x² - 75.6875x + 64.5626 = 0

[tex] x = \dfrac{-(-75.6875) \pm \sqrt{(-75.6875)^2 - 4(1)(64.5626)}}{2(1)} [/tex]

x = 74.825  or  x = 0.8628

Answer: x = 0.86

It is:

x = 0.86

i took the test and got it right, but we go to the same school lol, I just go to the Arizona version.

Answer:

88 m²

Step-by-step explanation:

Formula

Given :

Solving :

Answer:

32

Step-by-step explanation:

The answer is 32 because 8 x 3 is 24 so then just add 8

Answer:

Try the a2 +b2=c2

Step-by-step explanation:

Try putting attention next time

Answer:

Step-by-step explanation:

Remark

There is only 1 way that you can get 1 2 3 4 5 in that order.

There are many possibilities of drawing 5 numbers from a total of 9 possible ones.

Total number of drawing 5 numbers.

Total = 9 * 9 * 9 * 9 * 9

Total = 59049

So putting the two facts together you get

Chance of getting (1 2 3 4 5)  = 1/59049

Answer: .000016935

Answer:

B

Step-by-step explanation:

The measure of the angle ABC in the given circle is 60°

A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the center). Any interval joining a point on the circle to the center is called a radius. By the definition of a circle, any two radii have the same length.

Given is a circle, with arcs DE and AC measuring 45° and 75° respectively,

We need to find the measure of the angle ABC,

So, using the property of a circle, we will have,

∠ ABC = 1/2 {arc DE + arc AC}

= 1/2 {45+75}

= 1/2 x 120

= 60

Hence, the measure of the angle ABC in the given circle is 60°

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Answer:

0.33 × 0.2 = 0.066 or [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{15}[/tex]

The solution is, 1/3 of 1/5 is 0.667.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have  to find 1/3 of 1/5

now, let,

x be the required number.

so, we get,

1/3 × 1/5 = x

or, x = 1/15

or, x = 0.667

Hence, The solution is, 1/3 of 1/5 is 0.667.

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Answer:

[tex]\dfrac{x+1}{x-1}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{x^2-1}{x^2-2x+1}[/tex]

Factor the numerator and denominator

[tex]\implies \dfrac{(x+1)(x-1)}{(x-1)(x-1)}[/tex]

Factor out the common term [tex](x-1)[/tex]:

[tex]\implies \dfrac{x+1}{x-1}[/tex]

[tex]\rm{blue{ANSWERANSWERANSWERANSWERANSWERANSWERANSWERANSWER:}}[/tex]

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]blue{\boxed{ \red{\rm {CarryOnLearning!}}}}[/tex]

Answer:

? = 49

Step-by-step explanation:

To solve this we just need to understand that when A=1, B=7. So when the side for a is 7 that is basically multiplying A by 7 so we have to do the same to the B side. So when the B side is multiplied by 7 it would be 7*7 =49 so the ? is equal to 49 when that similar side is equal to 7.

This is all based on the fact that the two triangles must be similar triangles.

Answer:

x = -2, y = 10

Step-by-step explanation:

Answer:

2.

A. GCF: 5x

B. GCF: 1

3.

A. 12x² + 38x - 14

B. 9x² - 6x + 1

C. 3x² + 4x - 5

Step-by-step explanation:

2.

a.

5x² - 30x

5x (x - 6)

GCF: 5x

b.

-12x² - 3xy - 4y²

GCF: 1

3.

a.

(2x + 7)(6x - 2)

2x(6x - 2) + 7(6x - 2)

12x² - 4x + 42x - 14

12x² + 38x - 14

b.

(3x - 1)²

(3x - 1)(3x - 1)

3x(3x - 1) - 1(3x - 1)

9x² - 3x - 3x + 1

9x² - 6x + 1

c.

(x + 3)(3x - 2) - (3x - 1)

3x(x + 3) - 2(x + 3)

3x² + 9x - 2x - 6

3x² + 7x - 6 - (3x - 1)

3x² + 7x - 6 - 3x + 1

3x² + 4x - 5

I hope this helps!

Answer:

angle fde = 37 degree

Step-by-step explanation:

we have,

angle bdc = angle fde

for angle bdc

adf = 90, adb = 53

let the value be x

=>             90+53+x = 180

=>             143+x = 180

=>             x = 180 - 143

=>             x = 37

bdc = 37

so, fde = 37

Answer:

An integer is a WHOLE number. No fractions and no decimals. so it would be... no, yes, yes, no, yes

Step-by-step explanation:

To clarify because they try to be tricky here. 27/3 is actually equal to 9 when simplified. Same thing with 40/8... when simplified it equals 5. Both are whole numbers and therefore integers.

Answer:

-76 is an integer and 27/3 and 40/8 could also be as well

Step-by-step explanation:

27/3 is and integer because if you simplify it, it equals 9, an integer. Same for 40/8, it equals 5.

Answer:

three sides

at least two sides of the same length

closed figure

Step-by-step explanation:

1) A triangle is a polygon.

2) Isoceles triangles have 2 equal angles.

3) A triangle has 3 sides

4) An isoceles triangle has 2 acute and 1 obtuse angle

5) An isoceles triangle means to have 2 sides of equal length.

6) A triangle is a closed figure.

Answer:

216

Step-by-step explanation:

Split the image into geometric shapes, and then calculate the area of each shape, then add them all up to get your grand total of 216

Answer:

Step-by-step explanation:

The equation has two roots as a quadratic equation.

Elena's solution ends up with loss of one of the roots when cancelling the variable.

Lin gets two roots, so she is correct.

Answer:

Lin gave Correct answer

Step-by-step explanation:

Let's solve by ourselves once

verified

Go through second method

Area of one traingle'-

Area of two triangles=6cm²

Area of rectangle

Total:-

Answer:

Method 1

Find the area of the rectangle, 45 cm².  Subtract the area of the cut-out triangle from the rectangle,  45 - 6 = 39 cm²

Method 2

Separate the ribbon into two triangles and a rectangle.

33 + 3 + 3 = 39 cm²

Step-by-step explanation:

Formulae

Method 1

Area of the rectangle:

= 3 × 15

= 45 cm²

Area of the cut-out triangle:

= 1/2 × 3 × 4

= 6 cm²

Find the area of the rectangle, 45 cm².  Subtract the area of the cut-out triangle from the rectangle,  45 - 6 = 39 cm²

Method 2

Area of the rectangle:

= 3 × (15 - 4)

= 3 × 11

= 33 cm²

Area of one triangle:

= 1/2 × (3 ÷ 2) × 4

= 3 cm²

Separate the ribbon into two triangles and a rectangle.

33 + 3 + 3 = 39 cm²

Answer:

They do not pay the same amount. Manuel's family pays more than Amelia's.

Step-by-step explanation:

General:

Child: c

Adult: 4 + c

Senior: 3 + c

Amelia's Family:

Total cost = 3(c) + 2(4 + c)

= 3c + 8 + 2c

= 5c + 8

Manuel's Family:

Total cost: 2(c) + 4 + c + 2(3 + c)

= 2c + 4 + c + 6 + 2c

= 5c + 10

Answer:

181..

Step-by-step explanation:

        1 8  1   <     answer

      -----------

        32761

  1     1    

        227

 28   224      

              361

 361        361

Answer:

what exactly is the equation?

Step-by-step explanation:

1. Thomas Edison used "perspiration" to refer to the physical and mental efforts needed to achieve a meaningful purpose in any human endeavor.

2. As it applies to businesses, it is not enough to develop a business idea or plan, as the business person must be prepared to execute and carry the business idea or plan to fruition.

According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).

Perspiration literarily refers to the sweat that emanates as someone works hard.

Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.

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Answer:

Slope m= -12/5

Step-by-step explanation:

Slope Solution

m=riserun=ΔyΔx

m=y2−y1x2−x1

m=−9−37−2

m=−125

m=−125

In decimals:

m = -2.4

Point Slope Form

y−y1=m(x−x1)

y−3=−125(x−2)

In decimals:

y−3=−2.4(x−2)

Slope Intercept Form

Find the Equation of the Line:

y=mx+b

by solving for y using the Point Slope Equation.

y−y1=m(x−x1)

y−3=−125(x−2)

y−3=−125x−(−125×2)

y−3=−125x−−245

y−3=−125x+245

y=−125x+245+3

y=−125x+395

m=−125

b=395

In decimals:

y=−2.4x+7.8

Standard Form of a Linear Equation

Ax+By=C

Starting with y = mx + b

y=−125x+395

Multiply through by the common denominator, 5, to eliminate the fractions:

5y=−12x+39

Then rearrange to the Standard Form Equation:

12x+5y=39

A=12

B=5

C=39

y-Intercept, when x = 0

y=mx+b

y=−125x+395

When x = 0

y=−125×0+395

y=395

y-intercept=395

(x,y)=(0,395)

In decimals:

(x,y)=(0,7.8)

x-Intercept, when y = 0

y=mx+b

y=−125x+395

When y = 0

0=−125x+395

125x=395

x=395×512

x=3912

x=134

x-intercept=134

(x,y)=(134,0)

In decimals:

(x,y)=(3.25,0)

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}[/tex]

[tex]BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}[/tex]

[tex]DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89[/tex]

Answer:

12x^3

Step-by-step explanation:

they're trying to confuse you on purpose, but x*8x^2 is the same thing as 8x^3

just add them and you're set

Answer: 4 [tex]\frac{7}{8}[/tex] pounds of apples

Step-by-step explanation:

     We will subtract the apples used from the original pounds of apples to solve this question. First, I will turn all units into eighths to subtract.

8 1/2 -> 8 4/8

1/2 -> 4/8

3 1/8 -> 3 1/8

     Next, I will subtract and simplify as I go.

8 4/8 - 4/8 - 3 1/8

8 - 3 1/8

8 - 3 = 5, 5 - 1/8 = 4 7/8

   Marco has 4 7/8 pounds of apples left.

Answer:

12 inchis

Step-by-step explanation:

Answer:

Part 1: 2.25

Part 2: (5, 11.25)

Step-by-step explanation:

Part 1: 33.75/15= 2.25

Part 2: 5*2.25= 11.25