Five friends plan to share the cost of a meal at a restaurant. Each friend’s share is at most $13. How much could the total meal cost?

Answer:

5.218

Step-by-step explanation:

5 or more, you add one. Four or less, you change it to zero.

Answer:

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, three said 9 p.m. What percent of the students is this?

20%

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, three said 9 p.m. What central angle measure would you use to represent this group on a circle graph?

72°

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, nine said 10 p.m. What percent of the students is this?

60%

Step-by-step explanation:

El costo en la opción uno es menor que el de la opción dos, asi que la primera es la más conveniente.

En la primera opción, el par de zapatos cuesta $90, y el segundo par tiene un descuento del 25%.

Entonces el costo por 2 pares es:

C = ($90 + $90)*(1 - 25%/100%)

Donde le aplicamos un descuento del 25% al total del costo de los dos zapatos, resolviendo esto obtenemos:

C = ($180)*(0.75) = $135.

En la segunda opcion tenemos que los pares cuestan $90, pero esta vez le aplicamos un descuento del 40% al segundo par.

C = $90 + $90*(1 - 40%/100%) =

C = $90 + $90*(0.6) = $144

Así, vemos que en la primera opción el costo es menor, entonces esa es la mejor opción.

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Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Because its a 50/50 and

Answer:

a. (3,-2)

b. (-5,-3)

Answer:

dy/dx = - (y/x)^4

Step-by-step explanation:

We are given the equation:

\( \displaystyle \large{ \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } = {a}^{3} }\)

Recall important differential formulas such as:

\( \displaystyle \large{ \frac{d}{dx} (f(x) + g(x)) = \frac{d}{dx} f(x) + \frac{d}{dx} g(x)} \\ \displaystyle \large{ \frac{d}{dx} k = 0 \: \: \tt(k \: \: is \: \: a \: \: constant.)}\)

Above is a basic property of differential. Looking at the equation above, differentiate both sides with respect to x. (dy/dx)

\( \displaystyle \large{ \frac{d}{dx}( \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } )= \frac{d}{dx} {a}^{3} }\)

Apply the distribution property in.

\( \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = \frac{d}{dx} {a}^{3} }\)

We treat x^3 and y^3 as function to one another, this type of differential will be called implicit once another variable of function is involved f(x,y).

But we treat a^3 as a constant so we just put 0.

\( \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }\)

Recall the quotient rules for the numerator = 1.

\( \displaystyle \large{ \frac{d}{dx} (\frac{1}{f(x)}) = -\frac{ \frac{d}{dx} (f(x))}{ {(f(x))}^{2} } }\)

Thus:

\( \displaystyle \large{ - \frac{ \frac{d}{dy} ( {x}^{3} )}{ ({x}^{3})^{2} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 } \\ \displaystyle \large{- \frac{ 3 {x}^{2} }{ {x}^{6} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }\)

Make sure to recall power rules for differential and exponent laws.

From 3x^2 / x^6.

\( \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }\)

Now what do we do with 1/y^3? We just differentiate it normally but we multiply with dy/dx once we differentiate the y function.

\( \displaystyle \large{- \frac{ 3 }{ {x}^{4} } -\frac{ \frac{d}{dx}( {y}^{3}) }{ ({y}^{3})^{2} } = 0 } \\ \displaystyle \large{ -\frac{ 3 }{ {x}^{4} } - \frac{ 3 {y}^{2} }{ {y}^{6}} = 0 } \\ \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 }\)

Solve for dy/dx, add both sides by 3/x^4.

\( \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{3}{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 + \frac{3}{ {x}^{4} } } \\ \displaystyle \large{ - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = \frac{3}{ {x}^{4} } } \\ \)

Divide both sides by - 3/y^4.

\( \displaystyle \large{ \frac{- \frac{3}{ {y}^{4} } \frac{dy}{dx} }{ - \frac{3}{ {y}^{4} } } = \frac{ \frac{3}{ {x}^{4} } }{ - \frac{3}{ {y}^{4} } } } \\ \displaystyle \large{ \frac{dy}{dx} = \frac{3}{ {x}^{4} } \times (-\frac{ {y}^{4} }{3} )} \\ \displaystyle \large{ \frac{dy}{dx} = \frac{1}{ {x}^{4} } \times (- \frac{ {y}^{4} }{1}) } \\ \displaystyle \large{ \frac{dy}{dx} = - \frac{ {y}^{4} }{ {x}^{4} } } \\ \displaystyle \large{ \frac{dy}{dx} = - ( { \frac{y}{x} })^{4}}\)

Answer:

-1

Step-by-step explanation:

Assuming problem is: x->2 (x^3 -3x^2 +3)

Since the expression is continuous at x=2,

then the limit can be found just by evaluating the expression at x=2.

2^3-3(2)^2+3

8-3(4)+3

8-12+3

-4+3

-1

The answer to this Question based on survey is 12.5%

What is survey?

It is a question answer based campaign in which opinions from large audiences are recorded and used for data analytics

Solution:

The elected official claims that he 70% people agree on a particular case

lets remember what he claims but yhis was not based on the survey

But survey of 100 people showed that 80% of agreed with that same particular case

but both can't be true at same time hence difference in their answers is

80-70/80 * 100

= 12.5%

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Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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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:

Step-by-step explanation:

↘↘↘↙↙↖↗↙↖

Answer:

From the given figure, we can see that

∠LON = ∠LOM + ∠MON

replacing the variables with the given values

77 = 9x + 44 + 6x + 3

77 = 15x + 47

15x = 30

x = 2

Finding ∠MON:

we are given that ∠MON = 6x +3

now that we know the values of x,

∠MON = 6(2) + 3

∠MON  = 12 + 3

∠MON = 15°

Answer:

10/8

Step-by-step explanation:

Answer:

1.375 lbs

Step-by-step explanation:

Answer:

K What's the problem?

Step-by-step explanation:

The number factor of a variable term is called the numerical coefficient.

Algebraic expression are made of terms . Terms might be a signed numbers, a variable, or a constant multiplied by a variable or variables.

Examples of an algebraic expression is as follows:

When a constant is multiplied by a variable or variables , that constant is called the coefficient.

In our example the variable is x . The number factor of the variable term x is called the numerical coefficient .

Therefore, the numerical coefficient in our case is 4.

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answer/explanation:

hope this helps

Answer:

4x and -2x

Step-by-step explanation:

Answer:

The like terms are 4x and 2x.

Step-by-step explanation:

4x and 2x have x as their variable.

Answer:

-13

Step-by-step explanation:

-3(2) = -6

2(-6) -1

-12-1= -13

Answer:

even

Step-by-step explanation:

even

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\(If \: \: n \: \: being \: \: Even \: \: → \: \: ({n - 1})^{2} \: \: will \: \: be \: \: Odd \\ \)

\(If \: \: n \: \: being \: \: Odd \: \: → \: \: ({n - 1})^{2} \: \: will \: \: be \: \: Even \\ \)

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Answer:3 f + 36 = 85 I think, hope this helps

Step-by-step explanation:

Answer:

Given Figure has set of Stacked cubes.

To Draw the Base Plan, lets see its right side, Left Side and Front side view.

Right side:

It has 3 cubes in base.

2 cubes in 2nd layer clearly seen in figure and only 1 cube in 3rd layer.

Left Side:

It has 2 Cubes in base.

Both Cubes attached to 1st and 2nd cube of right side cubes.

Front Side:

It can be seen that, here base only has 2 rows of cubes.

Therefore,  1st Figure is correct Base Plan (or enclosed figure)

Note: Numbers in enclosed figure just shows the total no. of cubes in that stack.

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The measure of the arc AT in this problem is given as follows:

mAT = 159º.

The measure of arc AT is obtained applying the two secant theorem, which states the angle measure of intersection of the two secant segments is half the difference of the measure of the far arc by the measure of the near arc.

The parameters for this problem are given as follows:

Hence the measure of the arc AT in this problem is given as follows:

(mAT - 59)/2 = 50

mAT - 59 = 100

mAT = 159º.

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Answer:

no f-ing clue

Step-by-step explanation:

The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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Answer: D

Step-by-step explanation:

D

Answer:

20 hours

Step-by-step explanation:

first calculate volume:

12x10x3=360

then divide by 18

360/18=20

So 20 hours in total