Colin slices a cake into 8 equal-sized slices. He and his friends eat 5 slices of the cake.

What fractional part of the cake do Colin and his friends eat?

Answer:

The simple interest owed is $51

Step-by-step explanation:

The formula for simple interest is I = Prt, with I for interest, P for principle, r for interest rate, and t for time (in years)

The equation is I = 2550(0.02)(1), which is I = 51.

Hope this helps :)

Answer:

Top right

Step-by-step explanation:

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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Answer:

1

Step-by-step explanation:

Any number divided by itself is always 1

Answer:

P (6, 3) – p (6, 4) – p (6, 2) = 270

Step-by-step explanation:

The 150 student council consist of 6 members.

Included at least one in-state student and at least one senior.

There are total 6 members: in which,

1 in- state senior,

2 in state non-senior,

1 out of state senior and

2 out of state non-senior.

Total member are 6 and we selected 3. So p (6, 3)

The way team will have only non-senior = p (6, 4)

The way team will have out of state = p (6, 2)

Subtracting the total we get:

P (6, 3) – p (6, 4) – p (6, 2) = 6x5x4 – 6 x 5 x 4 x3 – 6x 5

                                             = 30 x 4 – 30 x 12 – 30

                                             = 120 – 360 – 30

                                             =- 270

From congruence triangles, it is possible to see ED is congruent to DS because they are in the same line.

Answer: DS

The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||

Answer: 2 8/3

Step-by-step explanation:

The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R

Answer: 9/4

Step-by-step explanation:

Reciprocal means flip the fraction

The reciprocal of 4/9  is  9/4

Answer: the rciprocal is 9/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 stone = 14  pounds

To convert 11 stones into pounds = 11 * 14

= 154 pounds

Unit rate:-

Total stones=11

Total weight

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

-12

Step-by-step explanation:

(-3)4

-3*4

-12

Elaborate ur question about - 34

Answer:

14. 13.65

15. 7.53

17. 0.0371

18. 0.81

19. 0.864

Here are some answers! Hope this helps

its is divided by four each time. It starts at -64

an=-64/4(n-1)

Answer: a. g(x) = 3^x + 2 b. y = 3 c. same graph but shifted two units up

Step-by-step explanation:

Answer:

it is a x= 40 degrees

Step-by-step explanation:

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

Answer:

98

Step-by-step explanation:

Formula Base * Height

7*14=98

Answer:

77 inches

Step-by-step explanation:

The formula for area of a trapezoid is \(\frac{b_{1} + b_{2}}{2} h\). In this case, first add base 1 (8) + base 2 (14) to get 22. Now divide 22/2 to get 11. Now multiply 11 by the height (7), to get 77 in.

Hope it helps!

Answer:

3 months, 6 months, interest is 1 point or 0.01 for every percent, 2010.35, peanut butter but why is this a question, 0.77, It is similar to a snowball because as time goes on the account grows at the same percent but it is more money so it is a larger amount. This is very common in dividend investing. next question, yes it is a percent, simple because compound is always more or the same, I would say principal but I am not sure

Step-by-step explanation:

Answer:

8.5 hrs * 5 day work week = 42.5 hrs. But usually 0.5 hr per day is considered lunch and is usually not payed so theoretically the workweek is only 40 hrs per week (full time)

Step-by-step explanation:

The surface area of the rectangular prism is 396 square inches

He will need 504 tlles

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

7 in by 12 in by 6 in

The surface area of the rectangular prism is calculated as

Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)

Evaluate

Area = 396

Hence, the area is 396 square inches

The number of tiles is 7 * 12 * 6 = 504

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Question

wants to tile the surface of a rectangular storage case that is 7 inches​ long, 12 inches​ wide, and 6 inches tall. If he uses all green​ tiles, how many tiles will he​ need?

Answer:

D. Stock A

2.70

Step-by-step explanation:

The X is after the 2 and before the 3. So we know that it cant be Stock B or C because they are NEGATIVES. The X is above the dot that is after the middle mark that represents 2.5. Therefore, the only answer that makes sense is 2.70 !

Hope this helped!

Answer: D) Stock A

Step-by-step explanation:

The picture is very blurry, so I'm not positive but I believe the x is closest to 2.7

Hope it helps

Answer:

8.384

Step-by-step explanation:

Answer:

8.348e-7 metric tons

Step-by-step explanation:

The sοlutiοn οf the system οf equatiοn is x = 0 and y = 7/3.

If there is nο sοlutiοn tο a system οf equatiοns, it is incοnsistent system; οtherwise, there must be at least οne sοlutiοn. If a set οf equatiοns has infinitely many sοlutiοns, it is dependent.

Every οne οf the equatiοns in a system οf equatiοns must have a sοlutiοn in οrder fοr the system tο be cοnsistent. This demοnstrates that a set οf values fοr the variables may simultaneοusly satisfy all οf the system's equatiοns and shοw that they are nοt mutually exclusive.

There is nο sοlutiοn tο an equatiοn system that satisfies all οf the equatiοns in the system. This indicates that nο cοmbinatiοn οf values fοr the variables can cοncurrently satisfy all οf the system's equatiοns since they are incοmpatible.

The given equatiοns are:

y = 2/3x + 7/3

-4x+6y=14

Substituting the value of y in the second equation:

-4x + 6y = 14

-4x + 6(2/3x + 7/3) = 14

-2x + 4x + 14 = 14

2x = 0

x = 0

Substitute the value of x = 0 we have:

y = 2/3(0) + 7/3

y = 7/3

Hence, the solution of the system of equation is x = 0 and y = 7/3.

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Complete question:

Given system of equations y = 2/3x + 7/3 and -4x + 6y = 14

Find the value of x and y.

Answer:

180 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

7x + 6 = 55; x=7

Step-by-step explanation:

"six more than" -> +6

"product of seven and a number" -> 7x

7x + 6 = 55

7x = 55 - 6

7x = 49

x=7

Answer:

6+7x=55, x=7

Step-by-step explanation:

7x=55-6

7x=49

x=7