Rodney models the factorization of a trinomial with algebra tiles as shown.

An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x, 3 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled negative. 14 tiles are in the Product spot: 1 is labeled + x squared and below it is a tile labeled negative x. To the right of negative x in 3 columns and 4 rows are 12 tiles labeled negative.

Rodney forgot to place x-tiles in zero pairs in the model of the trinomial. How many zero pairs of x-tiles should he place in the model?

Answer:

70 members

Step-by-step explanation:

Let's call the number of total members x. We know that 30% or  [tex]\frac{3}{10}[/tex] of the members forgot, so our equation looks like this:

[tex]\frac{3}{10}x = 21[/tex]

Then, we will multiply both sides by 10 to get rid of the fraction:

3x = 210

Finally, we will divide both sides by 3 to find out our variable, x:

x = 70

So, there are 70 members in total.

Hope this helped!

The perimeter of the rectangle, given the area and the segment from R ( 6, -16) to S (14, - 1 ) is 88 units

To find the perimeter, first find the distance between  R ( 6, -16) to S (14, - 1 ) which will allow you to find the length of one side. This distance can be found by the formula :
= √((x2 – x1)² + (y2 – y1)²)

= √((14 – 6)² + (-1 – (-16))²)

= 17 units

This means that one side of the rectangle measures 17 units so the other side would be:

Area = Length x Width

459 = 17 x Width

Width = 459 / 17

Width = 27 units

The perimeter of the rectangle is:

= Length + Width + Length + Width

= 17 + 27 + 17 + 27

= 88 units

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Answer:

Here you go

Step-by-step explanation:

I hope this helps :)

9514 1404 393

Answer:

  A.  A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2

Step-by-step explanation:

The relationship that has constant y-values is the one with zero slope. That would be the first table.

Answer: A

Step-by-step explanation: He is correct

Answer:

4.42857142857

Rounded:

4.4

The capacity of the tank in open glass cuboid is determined as 7.2 Liters.

The capacity of the tank is calculated as follows;

Volume = base area x height

Base area = Length x Width

Base area = [17 cm - 2(0.5cm)] x [16 cm - 2(0.5cm)]

Base area = 16 cm x 15 cm

Base area = 240 cm²

Volume = 240 cm²  x  30 cm

Volume = 7,200 cm³

Volume = 7.2 Liters

Thus, the capacity of the tank in open glass cuboid is determined as 7.2 Liters.

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answer:

a. 8 · 10^7 is 4000 times larger than 2 · 10^4

step-by-step explanation:

8 · 10^7 (or 8 X 10000000) = 80000000

2 · 10^4 (or 4 X 10000) = 20000

80000000 / 20000 = 4000

Answer:

fvg bvgcjvtfjocfrx

Step-by-step explanation:

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yes, this 10(17. 50 +0. 20f) represent the total cost of the print job. This can be solved by using the concept of expression.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.

There are three different expression types:

Given that,

10% discount on the print job

thus, 10% = 0.10.

Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).

so, we get: 0.10 × (17.50 + 0.20f)

Yes,  0.10 × ( 17.50 + 0.20f ) does represent the total cost of the print job.

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The probability to draw a green bead is 1/3 and the probability to draw a green or yellow bead is 2/3

It is given that the bag contains 1 red bead, 2 yellow beads, 2 green beads, and 1 blue bead.

Hence the total no. of beads in the bag = no. of red + yellow + green + blue beads

= 1 + 2 + 2 + 1 beads

= 6 beads.

Let the event to draw a green bead be A

Let the event to draw a yellow bead be B

Probability of any event = no. of outcomes favorable to that event/ total number of outcomes

Hence P(A) = no. of green beads/ total no. of beads

= 2/6

= 1/3

Hence the probability that a green bead is drawn is 1/3

P(B) = no. of yellow beads/ total no. of beads

2/6 = 1/3

We need to find P(A or B)

= P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A ∩ B) = P(A and B)

Since no bead is of 2 colors, P(A ∩ B) = 0

Hence we get

P(A U B) = 1/3 + 1/3

= 2/3

Hence the probability to draw a green or yellow bead is 2/3

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Answer:

7×10-6 is the answer I hope it helps

In class 6, students typically learn about acute angles, right angles, and obtuse angles as the main types of angles. So there are three types of angles.

Acute angles, Right angles, and Obtuse angles are the basic types of angles and they are based on the degree measure. Acute angles are less than 90 degrees, right angles are exactly 90 degrees and obtuse angles are greater than 90 degrees but less than 180 degrees.

It's worth noting that the classification of angles in class 6 may vary depending on the curriculum and the country you are in. This is a general description and your school or teacher may have different classification or criteria.

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Fourteen types of angles are Acute Angles, Obtuse Angles, Right Angles, Straight Angles, Reflex Angles, Positive Angles, Negative Angles, Complementary angles, Supplementary angles, Linear Pair, Adjacent angles, Vertically Opposite angles,  Alternate interior angles and Alternate exterior angles.

There are mainly 5 types of angles based on their magnitude. They are Acute Angles, Obtuse Angles, Right Angles, Straight Angles and Reflex Angles.

Positive Angles and Negative Angles are the angles based on the direction of measurement or the direction of rotation.

When two angles are paired, then there exist different angles, such as Complementary angles, Supplementary angles, Linear Pair, Adjacent angles, Vertically Opposite angles,  Alternate interior angles and Alternate exterior angles.

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Answer:

The fraction representing the number of bad oranges can be written as 6/30. This fraction can be simplified by dividing both the numerator and the denominator by 2, which gives us 3/15. This fraction is already in its lowest terms, so 3/15 is the final answer.

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

then x=6 because replacing x 6+3=9

If a  box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. The number of  visually distinct arrangements of the donuts that are there is: 60.

Using this formula to find the  number of  visually distinct arrangements of the donut that are there.

Number  visually distinct arrangements = Box of  donuts!/ Plain donuts! × Chocolate donuts! × Blueberry donut!

Let plug in the formula

Number  visually distinct arrangements = 6!/ 3! × 2! × 1!

Number  visually distinct arrangements = 720/ 6 ×2 × 1

Number  visually distinct arrangements = 720 /12

Number  visually distinct arrangements = 60

Therefore the number of Number  visually distinct arrangements  is 12.

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Answer:

solution

90+55+×=180(sum of angle of triangle is 180)

or,145+x=180

or,x=180-145

therefore,x=35

Answer:

A cone has a diameter of 8 units and a height of 8 units. Its radius is 4units its volume is 134.04 cubic units. A cylinder with the same height and radius as the cone will have a volume of 402.12 cubic units. If a sphere has the same radius as the cylinder, Its volume is less than the volume of the cylinder​.

radius = diameter / 2 = 8/2 =4units

[tex]volume \ of \ cone = \pi r^2 \frac{h}{3}[/tex]    =134.04cubic units

[tex]volume \ of \ cylinder = \pi r^2h[/tex]  = 402.12 cubic units

[tex]volume \ of \ sphere = \frac{4}{3}\pi r^3[/tex] = 268.08 cubic units

Answer:

It is a rational number

Step-by-step explanation:

[tex]\sqrt{12} *\sqrt{12} =12[/tex]

[tex]\sqrt{12}[/tex] by itself is 3.46410 making it irrational

The correct option is D. 1 − 0. 125 is NOT  the correct way to find the value of fraction 5/8.

Consider the given options;

A. 5÷8

5÷8 = 5/8 (correct)

B. 5⋅0. 125

5*0.125 = 0.625

5*0.125 = 5/8 (correct)

C. 0. 5+0. 125

5+0. 125 = 0.625

5+0. 125 = 5/8 (correct)

D. 1−0. 125

1−0. 125 = 0.785

1−0. 125 = 7/8 (not correct)

Thus, option D is not the correct way to solve the equation.

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The correct question is attached.

=======================================================

Work Shown:

A = pi*r^2

A = 3.14*8^2

A = 200.96

Note that the radius r = 8 is half of the diameter d = 16. I'm using the approximation pi = 3.14, which means the area is approximate. To get a more accurate answer, use more decimal digits of pi. The units of the area are in square feet, which can be written as "sq ft" or as "ft^2".

Answer:

Intial money=Rs 3300

final money=3300-(70×5)-(2×125)-2500

=3300-350-250-2500

=3300-3100=RS 200

Now,

share of each of them= 200/2=Rs100

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The prove of given limit lim θ → 0 ( sin θ / θ ) = 1 is shown in below.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

⇒ lim θ → 0 ( sin θ / θ ) = 1

Here, The form of given limit is 0/0, so we can apply the L - Hospital Rule.

⇒ lim θ → 0 ( sin θ / θ ) = 1

Take LHS;

⇒ lim θ → 0 ( d/dθ (sin θ)/ dθ/dθ )

⇒ lim θ → 0 ( cos θ / 1 )

⇒ ( cos 0 )

⇒ 1

⇒ RHS

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Answer:

-301/27

Step-by-step explanation:

Answer: False, Quadratic can sometimes be solved by factoring. It can ALWAYS be solved using the quadratic formula.

Step-by-step explanation:

Hope this helps :)

Answer:

false

Step-by-step explanation:

Answer:  A

Step-by-step explanation:  They both go up but they have diffrent patterns

hopes this helps any

Answer:

A.

Step-by-step explanation:

the 'x' slot is going up two and the 'y' slot is going up one every change.

The graph is increasing when the graph has positive slope and the graph is decreasing when the graph have a negative slope .

What is Slope ?

The slope of any line can be calculated by using any two distinct points on the line. The slope of a line formula calculates the ratio of the vertical change to horizontal change between two distinct points of the line.

that means , let the two points on the line be [tex](a,b)[/tex] , [tex](c,d)[/tex] . So , the slope will be calculated as : Slope(m) = [tex]\frac{d-b}{c-a}[/tex] .

(i) When the slope of the graph is positive , it indicates that the graph rises when moving from left to right , Hence , the graph is increasing .

(ii) When the slope of the graph is negative , it indicates that the graph falls when moving from left to right , Hence , the graph is decreasing .

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