Nic paid a total of +25.68 for a game, including 7, tax. What was the
price before tax?
a. Draw a tape diagram to illustrate the problem.
b. Find the game price before tax. Explain how you know.



Please someone help. Needs to be turned in today. Please help ASAP!!!!!

Answer:

38 Tables

Step-by-step explanation:

First, we need to add the number of students with the number of adults to get the total number of people attending the picnic.

182 + 274 = 456

Next, we divide that number by how many people fit at each table to find how many tables we need.

456 people ÷ 12 people at each table = 38 tables.

Answer:

The answer is B, have a wonderful day!

Step-by-step explanation:

Answer:

  82 2/9 square meters

Step-by-step explanation:

The problem statement gives us two relations between length and width. We can write those using equations and the variables L and W for length and widh, in meters.

  P = 2(L +W) . . . . . . formula for the perimeter of a rectangle

  38 = 2(L +W) . . . . . the perimeter is 38 meters

  (L -3) = 2(W -2) . . . . length less 3 is twice the difference of wdith and 2.

__

Dividing the first equation by 2 gives ...

  19 = L +W

Solving this for L gives ...

  L = 19 -W

Substituting for L in the second equation, we have ...

  (19 -W) -3 = 2(W -2)

  16 -W = 2W -4 . . . . . . . simplify

  20 = 3W . . . . . . . . . . . add W+4

  W = 20/3 . . . . . . . . . divide by 3

  L = 19 -20/3 = 37/3 . . . . find L from W

__

The area of the farm is the product of length and width:

  A = LW = (37/3 m)(20/3 m) = 740/9 m²

  A = 82 2/9 m²

The area of the farm is 82 2/9 square meters.

Answer:

29(truck)   35(car)

Step-by-step explanation:

140/(6+x)=116/x

140x=116x+116*6

24x=116*6

x=29  (truck)

x+6=35(car)

Answer:

-40 1/4

Step-by-step explanation:

Answer: -40 1/4

Step-by-step explanation:

John measured two pieces of string. One piece measured \dfrac7{12}\text{ m}127​ mstart fraction, 7, divided by, 12, end fraction, start text, space, m, end text and the other measured \dfrac47\text{ m}74​ mstart fraction, 4, divided by, 7, end fraction, start text, space, m, end text.

Answer:

Step-by-step explanation:

To define the perpendicular line we need to first know the slope of the reference line graphed.

m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)

m=(1-5)/(2-0)

m=-4/2

m=-2

For lines to be perpendicular their slopes must satisfy

m1m2=-1, we have a line with a slope of -2 so

-2m=-1

m=1/2, so our perpendicular line is so far

y=x/2+b, it must have point (3,2) so we can solve for b

2=3/2+b

b=1/2, so the swimmer will travel along the line

y=x/2+1/2

The third-year depreciation using MACRS for an asset with a purchase cost of $311,677, a useful life of six years, and a salvage value of $22,424 is $49,877.

MACRS (Modified Accelerated Cost Recovery System) is a depreciation method used for tax purposes in the United States. It assigns assets to specific recovery periods based on their classification and useful life. In this case, the asset is classified as 5-year property.

To calculate MACRS depreciation, the asset's cost is multiplied by a depreciation percentage assigned to each year of the recovery period. The percentages for the 5-year property are as follows: 20%, 32%, 19.20%, 11.52%, 11.52%, and 5.76%.

In the third year of the asset's useful life, the depreciation percentage is 19.20%. Therefore, the depreciation amount can be calculated by multiplying the purchase cost ($311,677) by the depreciation percentage (19.20%):

Depreciation = $311,677 * 19.20% = $59,829.89

Adjusted Depreciation = Depreciation - Salvage Value = $59,829.89 - $22,424 = $37,405.89

Therefore, the third-year depreciation using MACRS for the given asset is $37,405.89.

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From the given question,

Now,

Put x=-3 into the given expression

Hence, the option D is correct.

The prediction that is not supported by the data is option B: "The number of non-fiction books sold on Friday will be two-and-a-half times the number of arts and crafts books sold on Friday."

We can see from the table that on Thursday, 7 sports and trivia books and 19 arts and crafts books were sold, for a difference of 12.

On Thursday, 13 non-fiction books and 19 arts and crafts books were sold. If we assume that the same ratio will hold on Friday, then we can predict that the number of non-fiction books sold will be (19/2)*2.5 = 23.75, which is not a whole number. Therefore, this prediction is not supported by the data.

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Answer:

7(m + 2)

Step-by-step explanation:

1) Add the numbers

2) Combine like terms

3) Rearrange terms

4) Common factor

- Factor by grouping

- Factor by grouping

⇒ 3 + 2m - 1 + 5m + 12

⇒ 7(m + 2)

Solution:

The arrow notation that describes the translation is (x, y) ⇒ (x + 3, y + 6)

From the question, we have the following parameters that can be used in our computation:

W(-2,-6) to W'(4,9)

The translation is the difference between the pairs

So, we have

(x, y) = (9 - 6, 4 + 2)

Evaluate

(x, y) = (3, 6)

Hence, the translation is (x, y) ⇒ (x + 3, y + 6)

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Answer: 48

Step-by-step explanation: 50 is the hypotenuse

14 is the opposite side - its opposite of angle Q

In 10 years, with daily compounding, $15,000 invested today at 12% will grow to a total value of approximately $52,486.32.

To calculate the future value of the investment, we can use the formula for compound interest:

Future Value = Principal × (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods × Number of Years)

In this case, the principal amount is $15,000, the interest rate is 12% (0.12 as a decimal), the number of compounding periods per year is 365 (since it's daily compounding), and the number of years is 10. Plugging these values into the formula, we can calculate the future value to be approximately $52,486.32.

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The radius of the circle is r = 3.78 cm for the given circle.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the angle of the sector of the circle is 1.2 radians the area of the sector is 54 cm².

The radius of the circle will be calculated as:-

Area = Angle x πr²

54 = 1.2 x πr²

r² = ( 54 ) / ( 1.2 x π )

r² = 14.32

r = √14.32

r = 3.78 cm

Therefore, the radius of the circle is 3.78 cm.

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The probability that two diagonals chosen at random intersect inside the decagon is 7/45

A decagon is a 10-sided polygon, and it has 10 vertices.

In a regular decagon, there are 10C2 = 45 pairs of distinct vertices.

The total number of diagonals that can be drawn between these pairs of vertices is (10 * 9) / 2 = 45.

To find the number of diagonals that intersect inside the decagon, we need to find the number of diagonals that do not intersect at a vertex.

A diagonal that does not intersect at a vertex is called an interior diagonal, and the number of these is given by (n-3) where n is the number of sides in the polygon.

For a decagon, the number of interior diagonals is (10-3) = 7

Therefore, probability= favorable events/ total number of events = 7/45

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Answer:

8 and 11

Step-by-step explanation:

The approximate volume of the larger candle is 244 cubic centimeters.

To find the volume of the larger candle, we need to compare the side lengths of the smaller and larger candles. Let's denote the side length of the smaller candle as "s."

According to the information given, the side length of the larger candle is five-fourths (5/4) as long as the side length of the smaller candle. Therefore, the side length of the larger candle can be calculated as (5/4) * s.

The volume of a square pyramid is given by the formula V = (1/3) * s^2 * h, where s is the side length of the base and h is the height.

Since both the smaller and larger candles have the same shape, their volume ratios will be equal to the ratios of their side lengths cubed.

Let's substitute the values into the volume ratio equation:

(125 / V_larger) = (s_larger / s_smaller)^3

Given that V_smaller = 125 cubic centimeters, we can rewrite the equation as:

(125 / V_larger) = ((5/4) * s_smaller / s_smaller)^3

Simplifying the equation:

(125 / V_larger) = (5/4)^3

Calculating (5/4)^3:

(125 / V_larger) = (125 / 64)

Cross-multiplying the equation:

125 * 64 = V_larger * 125

Solving for V_larger:

V_larger = (125 * 64) / 125

Approximating the value:

V_larger ≈ 64 cubic centimeters

The approximate volume of the larger candle is 244 cubic centimeters, rounded to the nearest cubic centimeter

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The transformation(s) that map the hexagon exactly onto itself is Clockwise rotation about Y by 60°, Reflection across line w, Reflection Across line u, and Counter clockwise rotation about Y by 120°. So, the correct answer is A), B), C) and D).

A regular hexagon has rotational symmetry of order 6 and reflectional symmetry across its 6 lines of symmetry. Therefore, any rotation of the hexagon by an angle which is a multiple of 60 degrees or any reflection across one of its lines of symmetry will map the hexagon exactly onto itself.

From the given options, the following transformations will map the hexagon exactly onto itself Clockwise rotation about Y by 60°, Reflection across line w, Reflection across line u and Counter clockwise rotation about Y by 120°. So, the correct option is A), B), C) and D).

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1) Considering the equation

3x -10 = -16 Add 10 to both sides

3x -10+10= -16 +10

Answer:

1 and 3

Step-by-step explanation:

The elements of Z3[x]/(x^2 - x) are of the form ax + b that is multiplication table, where a and b are elements of Z3.

The multiplication table is:

  | 0   1   x   1+x   2   2+x

-------------------------------

0 | 0   0   0    0   0   0

1 | 0   1   x   1+x  2  2+x

x | 0   x  2x  2+x   x  1+2x

1+x| 0  1+x 2+x   2  2+x  x

2 | 0   2   x   2+x  1  1+x

2+x| 0  2+x 1+2x  x  1+x 2

Note that in this table, we use the fact that x^2 - x = 0, which implies that x^2 = x.

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Answer: B.pi/2

ABCD is a square

=> Δ ABD is a  isosceles right triangle at A

using pythago theorem, we have:

AB² + AD² = BD²

=> 2AD² = 4

⇔ AD² = 2

⇒ AD = √2

through O, draw EF parallel to AD and BC

=> EF is  diameter

because EF//AD => EF = AD = √2 (because circle O is inscribed the square ABCD)

=> the area of the circle is \(S=\frac{(\sqrt{2})^{2} }{4}.\pi =\frac{\pi }{2}\)

Step-by-step explanation:

Answer:x=65 y=40

Step-by-step explanation:

1) solve for x in the second triangle by adding each degree together and setting it equal to 180 (every triangle equals 180°)

2) x should equal 65

3) do the same for the first triangle except plug in 65 (since we know it equals x) and solve for y.

The surface area of the regular three-sided prism is 26√3 cm².

Now, For the surface area of the prism, We can find the area of each of its five faces and add them together.

First, let's find the length of the base edge.

Let's take it "s".

We know that the surface area of the base is 4√3 cm²,

Hence, We get;

A = (sqrt(3)/4)s = 4√3

Solving for "s", we get:

s = 2 cm

Next, we need to find the height of the prism.

We know that the height is 3 times greater than the length of the base edge, so:

h = 3s = 6 cm

Now we can find the area of each face of the prism using the formula for the area of an equilateral triangle:

A = (√(3)/4)s

A = (√(3)/4)(2 cm)

A = √3 cm²

Since, The prism has five faces.

Therefore, the total surface area of the prism is:

A = 2(4√3 cm²) + 3(√3 cm²)(6 cm)

A = 8√3 cm² + 18√3 cm²

A = 26√3 cm²

Therefore, The surface area of the regular three-sided prism is ,

= 26√3 cm².

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Answer:

The reasons:

The average speed on the winding road was 45 mph.

The bus traveled for 3 hours on the winding road, so the distance covered can be calculated using the formula: Distance = Speed × Time. Let's assume the average speed on the winding road as 'x' mph. Therefore, the distance covered on the winding road is 3x miles.

On the straight road, the bus traveled for 3 hours at an average speed that was 12 mph faster than its average speed on the winding road. So the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. Therefore, we can write the equation:

3x + 3(x + 12) = 210

Simplifying the equation:

3x + 3x + 36 = 210

6x + 36 = 210

6x = 174

x = 29

So the average speed on the winding road was 29 mph.

The problem states that the bus traveled for 3 hours on both the winding road and the straight road. Let's assume the average speed on the winding road as 'x' mph. Since the bus traveled for 3 hours on the winding road, the distance covered can be calculated as 3x miles.

On the straight road, the average speed was 12 mph faster than on the winding road. Therefore, the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. This allows us to set up the equation 3x + 3(x + 12) = 210 to solve for 'x'. Simplifying the equation leads to 6x + 36 = 210. Solving for 'x', we find that the average speed on the winding road was 29 mph.

In summary, the average speed on the winding road was 29 mph.

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