Toby the Turkey needs you to buy place cards so that everyone will know where to sit during his Thanksgiving dinner. He would like to buy them in bulk. The card shop offers 3 different packs. Use the chart below to determine which pack offers Toby the best deal, then find the price per card.

Pack #1
Quantity 12 place cards
Cost $29 per pack

Pack #2
Quantity 24 place cards
Cost $89 per pack

Pack #3
Quantity 24 place cards
Cost $213 per pack

( This is confusing to me I don't even understand why my math teacher decided to give us it when she didn't explain it. currently gonna cry on this I need to show work what.)​

The number of books each classroom received = 185

In this question, we have been given two libraries donated books to a local school. One library donated 786 books and the other library donated 1,245 books. The school divided the books evenly among 11 classrooms.

We need to find the number of books each classroom received.

Total number of books received:

786 + 1245 = 2031

The school divided the books evenly among 11 classrooms.

Let x be the number of books each classroom received.

By unitary method,

x = 2031 /11

x ≈ 185

Therefore, the number of books each classroom received = 185

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The number of cans that are recycled is approximately 1 billion cans in 1 week.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that  51.9 billion aluminum cans were recycled.

Therefore, the rate of recycled the can is;

51.9 billion / 1 year

We know that 1 year has 52 weeks

Then

51.9 billion / 1 year  x  1 year / 52 weeks

= 51.9 (1) billion / 1 (52 ) weeks

= 51.9 billion/ 52 weeks

= 1 billion/ 1 week

Hence, the number of cans that are recycled is approximately 1 billion cans in 1 week.

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Answer: 7£

Step-by-step explanation:
1. Firstly, we need to subtract the single sign up fee from the total cost. This would be 141-57 =84 pounds
2. We know that you pay a regular amount every month, so therefore we can divide 84 by 12 as there are 12 months in a year.
3. 84/12 = 7. Thus, the answer is 7 pounds a month.

Answer:

£7

Step-by-step explanation:

Given information:

To find the cost of the monthly payments, find the difference between the total cost and the sign-up fee, then divide the result by 12 (as there are 12 months in one year).

The difference between the total cost and the sign-up fee is:

[tex]\implies 141-57=84[/tex]

Therefore, the cost of each monthly payment is:

[tex]\implies \textsf{Monthly fee}=\dfrac{84}{12}=7[/tex]

Answer:

Step-by-step explanation:

volume of a sphere = ⁴/3 π r³. r = D/2. V = 4/3 × π × (D/2)³. V = 4/3 × π × D³/8. V = ⅓ × π × D³/2. V = ⅓× π × (24mm)³/2.

Answer:

∠T

Step-by-step explanation:

∠T is the common angle found in both triangles.

In ΔPTS, ∠PTS represents ∠T.

In ΔQTR, ∠T is represented by ∠QTR.

Answer:

The angle T is common side.

Step-by-step explanation:

Given triangles,

→ ∆PTS & ∆QTR

Now we have to,

→ fInd common angle of both triangles.

The common angle is,

→ <T (angle T)

→ As it is present in both triangles.

Hence, the common part is angle T.

Answer:

67.5 (rounded down to 67, usually)

45/2 is 22.5 so that is for one hour

22.5 x 3 = 67.5

Answer:

add me on brainliest please

Step-by-step explanation:

65 is the answer

We see BC is in the middle of the lines AB and BD, therefore mABC + mCBD = mABD.

We're given mABD = 75, mABC = 40.

Therefore, mCBD = mABD - mABC = 75 - 40 = 35.

Answer:

∠CBD = 35°

Step-by-step explanation:

We are told in the question that m∠ABD = 75° and m∠ABC = 40°. We are then asked what the value of m∠CBD is.

As we can see from the diagram, ∠ABD is made up of the angles ABC and CBD. Therefore:

∠ABD = ∠ABC + ∠CBD

⇒ 75° = 40° + ∠CBD

⇒ 75° - 40° = 40° + ∠CBD - 40°       [

⇒ 35° = ∠CBD

∴ ∠CBD = 35°

The amount a container would take to spray 1 entire lawn is 7 litres.

Given that a container with 3½ liters of weed killer can spray 1/2 of a lawn.

We want to find the amount of liters to take a spray 1 entire lawn.

3½ liters of weed killer can spray 1/2,

liters take to spray 1 lawn is 3½/1/2=7 liters

Hence, the amount of liters it would take to spray 1 entire lawn when a container with 3½ liters of weed killer can spray of a lawn is 7 liters.

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The equation that models the balance y after x​ months is: y = -130x + 1200.

Month    Balance

0             1200

6            420

8             160

Hence,

m = (y2 - y1)/(x2 - x1)

First coordinate:

m = (420 - 1200)/(6 - 0)

m = -780 /6

m = -130

Second coordinate;

m = (160 - 420)/(8 - 6)

m = -260/2

m = -130

The formula for equation in slope intercept is

y = mx + c

where;

m = slope

c = y-intercept

So, equation is;

y = -130x + 1200

Therefore the equation is y = -130x + 1200.

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The quadratic expression can be factorized to:

x*(x - 6)

Here we have the expression:

x^2 - 6x

To factorize this, first, we need to find the roots, which are the solutions of:

x^2 - 6x = 0

Notice that one of the solutions is trivial, and it is x = 0.

If now we assume that x ≠ 0 and divide both sides by x, we get:

x - 6 = 0

x = 6

That is the other solution.

Now, for a square polynomial with the roots a and b, the factorized form is:

(x - a)*(x - b)

In this case, the roots are 0 and 6, then:

x^2 - 6x = (x - 0)*(x - 6) = x*(x - 6)

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Answer:

25

Step-by-step explanation:

First, we add 50, 12, and 16, which gives us 78. Then, we remove 3 from the answer, giving us 75. Then, divide 75 by 3.

Answer = 25.

(ps: sorry for any spelling mistakes, i dont really type answers alot)

If you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, You win 50 tickets, 12 tickets, and 16 tickets at an arcade. You are able to buy 3 of the same item with 3 tickets left over.

Number of tickets won,

= 50 + 12 + 16

= 78 tickets

Number of items bought = 3 items

Let the cost of 1 item be 'x' tickets.

The cost of 3 items = 3x

By the amount, we can buy 78 tickets as,

3x = 78

x = 26

Thus, if you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.

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Answer:

2 minutes for a whole song.

Step-by-step explanation:

Given that,

→ (1/6) song = (1/3) minutes

Parts of whole song is,

→ (1/6) × 6 = 1

Then the required minutes taken to play whole song will be,

→ x/6 = 1/3

→ x = (1/3) × 6

→ x = 6/3

→ [ x = 2 min ]

Hence, 2 minutes for a whole song.

Answer:

15 coaches

Step-by-step explanation:

750 people go on a coach trip each coach can hold 50 people How many coaches are needed?

750/50 = 15 coaches

Answer:

750÷50 = 15

The answer is 15.

Because 750 people are going in a coach trip and each coaches can hold 50 people.

Using remainder theorem, Quotient = x-9 and Remainder = x² - x.

P(x) = −x³ – 2x² −9

P(-1) = −(-1)³ – (-1)x² −9

P(-1) = −(-1) – 2(1) −9

= 1 -2 -9

= -10

Remainder of  P(-1) = −(-1)³ – (-1)x² −9 is -10.

Remainder of P(x+1)

= −x³ – 2x² −9 / x+1

Quotient = x-9 and Remainder = x² - x

Hence, using remainder theorem, Quotient = x-9 and Remainder = x² - x.

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Answer:

Step-by-step explanation:

Yahweh’s

Answer: g= 61/5 or 12.2

Step-by-step explanation:

The exponential equation represents an exponential growth because the rate of decay is 1.02 which is greater than 1.

y = 90(1.02)^x

The general form equation is:

y(x)= a(1+r)^x such that r is the decay percent.

on comparing,

1 + r = 1.02

r = 1.02 - 1

r = 0.02

converting into percent

r = 0.02 * 100

r = 2%.

Hence the exponential growth is 2%.

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The function g(X) will be of the form g(x) = |x/6| ,when stretched by a factor of 6.

The function is f(x)=|x| .

We know that for transformation of a function of the form horizontal stretch by a factor of 'a' is given by the g(x)= f(x/a)

So in this given function the horizontal stretch is by a factor of 6.

Therefore g(x) = f(x/6)

or, g(x) = |x/6|

In the graph attached the green represents the function f(x) while the red represents the function g(x).

A function transformation either "moves," "resizes," or "reflects" the graph of anything similar to the parent function. The following are the three main types of function transformations:

Dilation is the only one of these changes that modifies the size of the original shape; the other two just change its location.

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Answer:

a) 1

b) 0.5

c)0

Answer:

5x+10y

Step-by-step explanation:

to expand we distribute each term with 5

5(x)+5(2y)

5x+10y

Hopes this helps please mark brainliest

Answer: 5x + 10y

Step-by-step explanation:

Re-order terms so constants are on the left

(x+2y)x5

5(x+2y)

Distribute

5(x+2y)

5x+10y

Answer:

Diameter = 3.1831 cm  (aprox)

Step-by-step explanation:

Diameter = circle / π

π ≈ 3.1414

Then:

Diameter = 10 / 3.1418

Diameter = 3.1831 cm

Equation of the given data y = 1750x -20,000 and graph of the equation is attached.

As given in the question,

Data of the table :

Year :               1                 2                   3              4                5

Investment : $20,000      $21,750      $23,500    $25,250      $27,000

(x₁, y₁) = ( 1, 20,000)

(x₂, y₂) = ( 2, 21,750)

Equation of the given graph is :

( y - 20,000)/ (x -1) = (21,750 - 20,000)/ (2 -1)

⇒ ( y - 20,000)/ (x -1) = 1750

⇒ y = 1,750x -18,250

Graph of the equation  y = 1,750x -18,250 s represented by the graph.

Graph is attached.

Therefore, equation of the given data y = 1750x -20,000 and graph of the equation is attached.

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The measure of ∠ YXR is 55 degrees.

Given that:-

m∠ XOY = 110 degrees

XR is a tangent to circle O at X.

We have to find the measure of ∠ YXR.

Draw the radii XO and OY to form the isosceles triangle XOY.

We know that the radius of the circle is perpendicular to the tangent.

Hence,  ∠OXR = 90 degrees.

Consider the triangle XOR, we know that XO and OY are the radii of the triangle and hence equal.

Let, ∠ OXY = OYX = x

Hence,

110 + x + x = 180 degrees

2x = 70 degrees

x = 35 degrees

Now, we know that,

∠ OXR = ∠ OXY + ∠ YXR

90 = 35 + ∠ YXR

∠ YXR = 90 - 35 = 55 degrees.

∠ YXR = 55 degrees.

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Most researcher fix level of significance at 5% i.e. they conclude a significant relationship when nothing is going on in 5% of cases. Hence,

Option A is correct which is 1.5%

Given that,

The majority of social scientists are willing to claim that a link is statistically significant if the likelihood of observing the relationship in the sample when nothing is happening in the population is greater than a certain threshold.

To find:

Less than what percentage of the population truly experiences nothing at all (i.e., random chance)

The majority of researchers set the level of significance at 5%, which means they draw conclusions about a meaningful association even when nothing is happening in 5% of cases.

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The line that has a slope of -2 and a y-intercept of -1 is shown in the graph below.

An equation of a line in slope-intercept form that is expressed as y = mx + b, can be graphed if we know the value of the slope (m), and the value of the y-intercept (b).

We are given the following:

To write the equation of the line in slope-intercept form, substitute m = -2 and b = -1 into y = mx + b:

y = -2x - 1

This means that the rise/run of the line, which is the slope, to be graphed would be equal to -2 while the line will intercept the y-axis at point -1, because the y-intercept given is -1.

The line with the stated features are shown in the graph below.

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Applying the knowledge of congruent triangles, the measures are solved as:

6. X = 14; AC = 11; T = 14; WZ = 16; WY = 60; AB = 60; m∠A = 64°; m∠Y = 64°; m∠W = 50°

7. X = 7; YZ = 28; T = 9; WZ = 10; WY = 11; AB = 28; m∠A = 31°; m∠C = m∠W = 99°

To solve for the missing measures of triangles that are congruent to each other, recall that triangles that are congruent will have corresponding sides that are equal and also corresponding angles that are equal.

6. Triangles ABC and YWZ are congruent, therefore:

m∠A = m∠Y; m∠B = m∠W; m∠C = m∠Z

AB = WY; AC = YZ; BC = WZ

Therefore:

5X - 4 = 66

Solve for X

5X = 66 + 4

5X = 70

X = 14

AC = YZ = 11

AB = WY

5T - 10 = 4T + 4

5T - 4T = 10 + 4

T = 14

BC = WZ = 16

WZ = 16

WY = 4T + 4 = 4(14) + 4

WY = 60

AB = WY = 60

AB = 60

m∠A = m∠Y

m∠A = 180 - 50 - 66

m∠A = 64°

m∠Y = 64°

m∠B = m∠W = 50°

m∠W = 50°

7. Triangles ABC and ZYW are congruent, therefore:

m∠A = m∠Z; m∠B = m∠Y; m∠C = m∠W

AB = YZ; AC = WZ; BC = WY

Therefore:

5X - 4 = 3X + 10

Solve for x

5X - 3X = 4 + 10

2X = 14

X = 7

AB = YZ

2T + 10 = 4T - 8

2T - 4T = -10 - 8

-2T = -18

T = 9

YZ = 4T - 8 = 4(9) - 8

YZ = 28

AC = WZ = 10

WZ = 10

WY = 11

AB = YZ = 28

AB = 28

m∠A = m∠Z = 3X + 10 = 3(7) + 10

m∠A = 31°

m∠C = m∠W = 180 - 31 - 50 = 99°

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From the given figure, m∠AEB = (3x + 54)° and m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.

As given in the question,

For the given figure,

Two lines AC and BD intersect each other at point E.

Measure of angles in the form of x is given as :

m∠AEB = (3x + 54)°

m∠DEC = (7x -30)°

∠AEB and  ∠DEC are vertically opposite angles.

⇒m∠AEB = m∠DEC

⇒ (3x + 54)°= (7x -30)°

⇒ 7x - 3x = ( 54 + 30 )°

⇒ 4x = 84°

⇒ x = 21°

Hence,

m∠AEB = (3x + 54)°

⇒m∠AEB = (3(21) + 54)°

⇒m∠AEB = 117°

Therefore, from the given figure m∠AEB = (3x + 54)° and

m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.

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Answer:

[tex]\sf s =\dfrac{-q}{pr}[/tex]

Step-by-step explanation:

               q = -spr

            -spr = q

     Isolate 's' by dividing both sides by (-pr).

           [tex]\sf \dfrac{-spr}{-pr}=\dfrac{q}{-pr}\\\\\\ s = \dfrac{-q}{pr}[/tex]

Answer:

Step-by-step explanation:

Arithmetic Sequence

Answer:

  (a)  Arithmetic Sequence

Step-by-step explanation:

You want to know if the graph of a straight line represent an arithmetic, geometric, or neither sequence.

An arithmetic sequence is characterized by a common difference between terms that are 1 unit apart. A graph of an arithmetic sequence is points that lie on a straight line.

The graph shows an Arithmetic Sequence.

__

Additional comment

A graph of a geometric sequence would show points that lie on an exponential curve.