Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).

Answer:

Step-by-step explanation:

Answer:

B. 25,000 tons

Step-by-step explanation:

The equation is x(tons of garbage) = 1/4y(people). In this question, the y is given (100,000). using the equation, 1/4 of 100,000 is 25,000.

The equation solved by the John to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.

Let the width of the rectangle mosaic is w cm. Thus, the length of it is,

[tex]l=w+2[/tex]

As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,

[tex]A=l\times w\\48=(w + 2)\times w \\48=w(w+2)\\w(w+2)=48[/tex]

The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is

[tex]w(w+2)=48[/tex]

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Answer:

B. w(w + 2) = 48

Step-by-step explanation:

I just took the quiz.

Have the day you deserve :)

Answer:

The answer is 2

-16/-8=2

Answer:

a. 120 Degrees

b. 180-120=60 60 Degrees

Step-by-step explanation:

A straight line has a maximum of 180 degrees.

ABC is 120, so CBD is 60

a) The size of angle ABC is 120 degrees.

b) The size of reflex angle CBD is 240 degrees.

a) The size of angle ABC is 120 degrees by inspecting at the protractor and counting from 0° 1o 120°

Reflex angles are formed by extending one of the sides of an angle beyond the straight line, creating an angle greater than 180 degrees. They can be visualized as the "extra" portion of a rotation around a point, beyond the 180-degree mark

b) To determine the size of reflex angle CBD,  consider that a reflex angle measures more than 180 degrees but less than 360 degrees. Since angle ABC is 120 degrees, subtract this angle from 360 to find the remaining measure of the reflex angle CBD.

Reflex angle CBD = 360 degrees - 120 degrees

= 240 degrees.

Therefore, the size of reflex angle CBD is 240 degrees.

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Answer:

the answer is 47

Step-by-step explanation:

subtract 133 from 180 and you get 47

Answer:

  a. (A, B, C) = (90°, 65°, 25°)

  b. BCD = 155°

Step-by-step explanation:

The interior acute angles of the right triangle can be found by writing an equation representing the relation between them. The exterior angle can be found using the relations between exterior angles and interior angles.

__

Angle A is given as a right angle, so measures 90°. Let C represent the measure of angle C in degrees. Then angle B has measure 3C-10. Those two angles are complementary, so ...

  C +(3C-10) = 90

  4C = 100

  C = 25

  B = 3(25) -10 = 65

The angle measures are ...

__

Angle BCD is the exterior angle adjacent to interior angle C. As such, it is supplementary to angle C:

  BCD = 180° -C = 180° -25° = 155°

An exterior angle is equal to the sum of the remote interior angles. That means ...

  BCD = A +B = 90° +65° = 155°

_____

Additional comment

An exterior angle is equal to the sum of the remote interior angles, because both the exterior angle and the sum of the remote interior angles are supplementary to the adjacent interior angle. Angles supplementary to the same angle have the same measure.

Answer:

part b is 155

Step-by-step explanation:

Answer:

Question 1 )

given ,

height of cylinder = 9 cm

diameter of cylinder = 10 cm

[tex]\dashrightarrow \: radius = \frac{10}{5} \: cm \\ [/tex]

now ,

[tex]Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3} [/tex]

therefore ,

option (C) is correct.

______________________________________

______________________________________

Question - 2 )

dimensions of the rectangular prism are 2 × 3 × 4

[tex]Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2} [/tex]

hope helpful :D

The volume of the cylinder is 225 [tex]\rm cm^3[/tex]  and the lateral surface area of the rectangular prism is 36 square cm.

It is given that the radius of the cylinder is 10 cm and height is 9 cm.

It is required to find the volume of the cylinder.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of a cylinder given by:

[tex]\rm V = \pi r^2 h[/tex]

We have diameter = 10 cm

Radius r = 10/2 = 5 cm

and height h = 9 cm

Volume will be:

[tex]\rm V= \pi \times5^2 \times 9[/tex]

V = 225π cubic cm

For the lateral surface area = 2h(l+b)

= 2×3(4+2)

= 36 square cm

Thus, the volume of the cylinder is 225 [tex]\rm cm^3[/tex]  and the lateral surface area of the rectangular prism is 36 square cm.

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The total mall visitors is the population parameter of the experiment

The sample of the experiment is 200, while the population is 1200

From the question, we have the following parameters:

The total mall visitors is the population while the visitors that were asked of their food preference are the sample

Hence, the sample of the experiment is 200, while the population is 1200

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Answer:

[tex] - 3 \frac{1}{6} \div ( - 1 \frac{4}{9} ) \\ \\ - \frac{19}{6} \div ( - \frac{13}{9} ) \\ \\ - \frac{19}{6} \times ( - \frac{9}{13} ) \\ \\ - \frac{19}{2} \times ( - \frac{3}{13} ) \\ \\ = \frac{57}{26} = 2 \frac{5}{26} = 2.1923[/tex]

Answer:

2 5/26

Step-by-step explanation:

1) convert 3 1/6 to improper fraction. Use this rule: a b/c = ac+b/c

- 3 * 6 + 1/ 6 ÷ -1 4/9

2) Simplify 3*6 to 18.

-18+1/6 ÷ -1 4/9

3) Simplify 18 + 1 to 19.

-19/6 ÷ -1 4/9

4) convert 1 4/9 to improper fraction. Use this rule: a b/c = ac+b/c

-19/6 ÷ -1*9+4/4

5) Simplify 1 * 9 to 9

-19/6 ÷ -9+4/9

6) Simplify 9 + 4 to 13.

-19/6 ÷ -13/9

7) Use this rule: a ÷ b/c = a × c/b

-19/6 × 9/-13

8) Use this rule: a × c/d = ac/bd

- 19*9/6*-13

9) Simplify 19 * 9to 171

-171/6*-13

10) Simplify 6 * -13 to -78

-171/-78

11) Move the negative sign to the left.

-(-171/78)

12) simplify 171/78 to 57/26

-(-57/26)

13) Remove parentheses.

57/26

14)  Convert to mixed fraction.

2 5/26

Answer:

3 cups. 15 cookies to 1 cup of flour.

Step-by-step explanation:

The answer is 3 cups. The first thing you do is find the unit rate. Divide 30 by 2 and you know that 1 cup of flour makes 15 cookies. Then divide 45 by 15 which is 3 and which tells you that 3 cups of flour makes 45 cookies.

Answer:

a

Step-by-step explanation:

because you get more than you do in choice b

Answer:

5 books per month

Step-by-step explanation:

We are trying to find a rate.

To find books per month, we would take the number of books and divide it by the number of months.

This would give us 10 books/2 months.

10/2 simplifies to 5.

Therefore the answer would be 5 books per month.

Answer:

You need to divide it I don't have a calculator because my mom don't want me to calculate she let me to calculate it on my brain btw please brainless me

Step-by-step explanation:

Closest square root to 294 is 17(289) + 5

294 --> 9 is 287.

289 - 287 = 2.

2 is the biggest positive integer

Answer:

(3,-3) (5,-3) (3,-6)

Step-by-step explanation:

y=-1 is now a horizontal line passing through the point (0,-1)

I hope this helps!!

Answer:

6 meters

Step-by-step explanation:

radius is half of diameter

The value of x is not one of the options listed. However, if we round to the nearest tenth, we get x = 2.9, which is closer to option B, 2.5. But none of the options match the exact value of x.

What is an arithmetic operation?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.

To solve for x, we need to isolate it on one side of the equation.

We can isolate x by dividing both sides of the equation by 20:

x(20) / 20 = 58 / 20

Simplifying:

x = 2.9

Therefore, the value of x is not one of the options listed. However, if we round to the nearest tenth, we get x = 2.9, which is closer to option B, 2.5. But none of the options match the exact value of x.

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Answer:

x=4 + y/7

y= -28 + 7x

Step-by-step explanation:

Answer:

Adjacent, x = 60°

Step-by-step explanation:

Adjacent angles are pairs of angles next to each other. Vertical angles make an x shape, are across from each other, and have the same measure. These are adjacent angles.

This is a 90° angles, which is signified by the little red box. To solve for x, make an equation by adding the two angles together and set them equal to 90.

x - 30 + x = 90

2x - 30 = 90

2x - 30 + 30 = 90 + 30

2x = 120

2x/2 = 120/2

x = 60°

Here, the angles x° and (x - 30)° both are complementary angles, so they will add upto 90°, thus we can obtain a equation as ;

[tex]{:\implies \quad \sf x^{\circ}+(x-30)^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}-30^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}=120^{\circ}}[/tex]

[tex]{:\implies \quad \sf x^{\circ}=\dfrac{120^{\circ}}{2}=\bf \boxed{60^{\circ}}}[/tex]

Hence, the required value of x is 60

Answer:

7/10

Step-by-step explanation:

70 out of 100 as a fraction would be 70/100 but since they said simplify it becomes 7/10.

This cannot be made smaller, as 7 cannot be divided into 2 evenly.

Hope this helps!

Answer:

  1/3

Step-by-step explanation:

The scale factor is the ratio of image lengths to original lengths. For this pair of figures, the scale factor is ...

  A'B'/AB = 2/6 = 1/3

The scale factor is 1/3.

Apply Pythagorean theorem

So

Answer:

√(122)

Step-by-step explanation:

Pythagoras Theorem:  a² + b² = c²

(where a and be are the legs, and c is the hypotenuse, of a right triangle)

First, find the length of the hypotenuse of the triangle with legs of 9 and 5 units:

⇒ 5² + 9² = c²

⇒ 25 + 81 = c²

⇒ c² = 106

⇒ c = √(106)

Therefore √(106) is the longest leg of the other triangle.

So we can now use this measurement to find x (the hypotenuse) of the other triangle:

⇒ 4² + √(106)² = c²

⇒ 16+ 106 = c²

⇒ c² = 122

⇒ c = √(122)

Answer:

The range is the best measure of variability because the distribution has an outlier.

Either the IQR or the range are good measures of variability because the distribution has no outliers.

The IQR is the best measure of variability because the distribution has an outlier.

Step-by-step explanation:

is this what you was looking for

Answer:

x=14

Step-by-step explanation: Multiply all terms by the same value to remove denominators from fractions,Cancel the multiplied terms that are in the denominator, Multiplica los números

Answer: I'm sorry is this a real question

Definition of a trapezoid: a quadrilateral with one pair of parallel sides

Thus PQRS is a trapezium because Line PQ is parallel to line SR

Hope that helps!

The given dimensions of the, Check Box, bag, suitcase, and watermelons, we have;

First part;

Volume of the Check box is 2,772 in.³

Volume of the black bag is 1728 in.³

Volume of the blue bag is 2700 in.³

Second part;

Third part;

Volume of the Carry-on baggage Check box, V_c can be found as follows;

V_c = 22 × 14 × 9 = 2772

Volume of the black bag, V_b, can be found as follows;

V_b = 18 × 12 × 8 = 1728

Volume of the blue bag, V_bl, can be found as follows;

V_bl = 18 × 15 × 10 = 2700

Given that the height, depth and width of the black bag are smaller than the height, depth and width of the check box

Second part;

Volume of the smaller suitcase is found as follows;

V_s = 25×8×9 = 1800

Volume of the bigger suitcase is found as follows;

V_b = 75 × 20 × 18 = 27,000

The number of times, the bigger suitcase is larger than the smaller suitcase is therefore;

n = 27,000 ÷ 1809 = 15

Third part

The volume of the watermelon = 720 in.³

Which gives;

10 × 9 × H = 720

H = 720 ÷ (10 × 9) = 8

To maximize the number of watermelons, we have;

The length, 10, is a factor of 20

The width, 9, is a factor of 18

Therefore, we have;

Two rows of watermelon, and two layers of watermelon

Number of watermelon in a row is therefore;

R = 75 ÷ 8 ≈ 9

Maximum number of watermelon is therefore;

Max_n = 9 × 2 × 2 = 36

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