Before Valentine's Day, a store bought 58 boxes of chocolates. There were 65 chocolates in each box. How many chocolates did the store buy? chocolates

Considering the algorithm to divide a number by a fraction, she must multiply x by -12/5 to find the answer of the division of x by -5/12.

To divide a number, or even another fraction, by a fraction, we need to multiply the numerator by the inverse of the denominator.

Taking the following division of fractions as an example, we have that:

(a/b)/(c/d).

Hence the quotient is:

a/b x d/c.

For this problem, the division is:

x/(-5/12).

Hence:

Thus the quotient is given by:

-12x/5.

Meaning that she must multiply x by -12/5 to find the answer of the division of x by -5/12.

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Answer:

Child ticket: 12 dollars

Total price: 64 dollars

Step-by-step explanation(Child ticket price):

[tex]T = X(1 - P\%)\\T = 20(1 - 40\%)\\T = 20(1 - 0.4)\\T = 20(0.6)\\T = 12[/tex]

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Step-by-step explanation(Total price):

[tex]T(12) * 2 + (20.00 * 2) = \$64[/tex]

Hope this helps.

The width of the banner of the Friday’s pep rally is 3 feet.

To calculate a percentage, divide the value by total value and multiply the result by 100. (value/total value)100% is the formula for calculating percentage.

Calculating a percentage means determining a portion of a whole in terms of 100. A percentage can be calculated in two ways:

For the given expression;

The length of the Friday’s pep rally banner is 18 feet.

Let the width be 'b'.

The given condition is;

The length of the banner is made 6 times the width.

Then,

6 time the width  = length

6×w = 18

w = 18/6

w = 3

Therefore, the width of the banner is found as 3 feet.

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The ordered pair for -5, 6 is (-5, 6)

The expression is given as:

-5, 6

Ordered pairs are often represented by the parenthesis i.e. ( , )

Where the variables x and y are in the parenthesis

So, the proper representation of an ordered pair is

(x, y)

Substitute -5, 6 for x and y in (x, y)

(-5, 6)

Hence, the ordered pair for -5, 6 is (-5, 6)

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The following statements are true and correct:

Segment EF is twice as long as segment AB

The length of segment AD is 8 units

Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.

Now, it is known that;

scale factor = ratio of any of their corresponding side

Thus;

Scale factor = GH/CD = 12/6 = 2

This means quadrilateral EFGH is twice the size of quadrilateral ABCD.

The shape of the original polygon remains the same while the size increases.

This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.

Since shape remains the same, their corresponding angles are congruent and the same in measure.

Therefore, the following statements are true and correct:

Segment EF is twice as long as segment AB; because (EF = AB*scale factor = 3*2 = 6)

The length of segment AD is 8 units because (EH = AD*scale factor = 8*2 = 16)

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Answer:

1302 for the first

-194 for second

Step-by-step explanation:

just do the operation

Answer:

19/20*30/20=19/20 x

570/400=19/20 x

57*20=40*19x

1140=760x

x=30/20 or 3/2

Answer: y=3.75x+1.9

Step-by-step explanation: the pick up fee would be the y-intercept and the per mile cost would be the slope.

The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.

The number of miles traveled is 21 miles.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Pick up fee charges = $1.90

Charges per mile = $3.75

Total fare = $80.65

The number of miles traveled = x

We can write an equation as:

1.90 + 3.75x = 80.65

The number of miles traveled:

1.90 + 3.75x = 80.65

Subtract 1.90 on both sides.

1.90 + 3.75x - 1.90 = 80.65 - 1.90

3.75x = 78.75

Divide both sides by 3.75.

x = 21.

Thus,

The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.

The number of miles traveled is 21 miles.

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Answer:On three of the percentage points you improved your average score.

Step-by-step explanation:I hope this helps.

Answer:

75 + 85 + 90 + 90 + 100 + 75 + 80 + 100 + 90 = 785

785/9 = 87.2

85 + 85 + 100 + 90 + 100 + 85 + 80 + 100 + 90 = 815

815/9 = 90.5

90.5 - 87.2 = 3.3

Round 3.3 to the nearest percent = 3%

Answer:

13122

Step-by-step explanation:

Term multiply by 3

First term is 6

Seven terms remain to be defined

then the 8th term is:

6 * 3⁷ = 6*2187

= 13122

Answer:

$39 + 0.15x

Step-by-step explanation:

$39 is the flat fee no matter what and x is the number of miles driven times cost per mile.

let x be the real part of z

let y be the imaginary part of z

[tex]arg(x +i y - 1) = arg(x + iy + 3i) \\ arg(x - 1 + iy) = arg(x + (y + 3)i) \\ arctan( \frac{y}{x - 1} ) = arctan( \frac{y + 3}{x} ) \\ arctan( \frac{ (\frac{y}{x - 1} ) - ( \frac{y + 3}{x}) }{1 +( \frac{y}{x - 1} )( \frac{y + 3}{x} )} ) = 0 \\ arctan( \frac{ \frac{xy - (x - 1)(y + 3)}{x(x - 1)} }{ \frac{x(x - 1) + y(y + 3)}{x(x - 1)} } ) = 0[/tex]

[tex]arctan( \frac{xy - xy - 3x + y + 3}{x {}^{2} - x + y {}^{2} + 3y } ) = 0 \\ \frac{ - 3x + y + 3}{x {}^{2} - x + y {}^{2} + 3y} = tan(0) = 0 \\ - 3x + y + 3 = 0 \\ y = 3x - 3[/tex]

[tex] \frac{x - 1}{y} = \frac{x - 1}{3x - 3} = \frac{x - 1}{3(x - 1)} = \frac{1}{3} \\ [/tex]

Answer:

[tex]\dfrac{x-1}{y}=\dfrac{1}{3}[/tex]

Step-by-step explanation:

Sums of real and imaginary numbers are known as complex numbers:  

[tex]\large\boxed{z = x + iy}[/tex]

(where x is the real number and iy is the imaginary number).

Complex numbers can be represented on an Argand diagram.

z = x + iy is represented on the diagram by the point P(x, y).

[tex]\textsf{Argument of a complex number $= \boxed{\arg z}$}[/tex]

It is the angle between the positive real axis and the line joining that number to the origin on an Argand diagram, measured in an anticlockwise direction.

[tex]\textsf{For \;$z = x + iy$, \;the argument $\theta$ satisfies\; $\tan \theta = \dfrac{y}{x}$.}[/tex]

[tex]\textsf{Given: \quad $\arg (z-1)=\arg(z+3i)$}[/tex]

[tex]\textsf{If $z$ is a complex number then $z = x + iy$}.[/tex]

[tex]\textsf{Substitute this into the given equation}:[/tex]

[tex]\begin{aligned} \arg(z-1)&=\arg(z+3i)\\\implies \arg(x + iy - 1) &= \arg(x + iy + 3i)\\\implies \arg((x - 1) + iy) &= \arg(x + i(y + 3))\end{aligned}[/tex]

[tex]\textsf{If the argument $\theta$ satisfies\; $\tan \theta = \dfrac{y}{x} \implies \theta=\tan^{-1}\left(\dfrac{y}{x}\right)$}:[/tex]

[tex]\implies \tan^{-1}\left(\dfrac{y}{x-1}\right)=\tan^{-1}\left(\dfrac{y+3}{x}\right)[/tex]

[tex]\implies \tan^{-1}\left(\dfrac{y}{x-1}\right)-\tan^{-1}\left(\dfrac{y+3}{x}\right)=0[/tex]

[tex]\boxed{\begin{minipage}{6.2cm}\underline{Trigonometric identity}\\\\ $\tan^{-1}(a)-\tan^{-1}(b)=\tan^{-1}\left(\dfrac{a-b}{1+ab}\right)$\\ \end{minipage}}[/tex]

Use the arctan identity:

[tex]\implies \tan^{-1}\left(\dfrac{\dfrac{y}{x-1}-\dfrac{y+3}{x}}{1+\left(\dfrac{y}{x-1}\right)\left(\dfrac{y+3}{x}\right)} \right)=0[/tex]

[tex]\implies \tan^{-1}\left(\dfrac{\dfrac{xy-(y+3)(x-1)}{x(x-1)}}{1+\dfrac{y(y+3)}{x(x-1)}} \right)=0[/tex]

[tex]\implies \tan^{-1}\left(\dfrac{\dfrac{xy-(y+3)(x-1)}{x(x-1)}}{\dfrac{x(x-1)+y(y+3)}{x(x-1)}} \right)=0[/tex]

[tex]\implies \tan^{-1}\left({\dfrac{xy-(y+3)(x-1)}{x(x-1)+y(y+3)} \right)=0[/tex]

[tex]\implies \tan^{-1}\left({\dfrac{xy-xy+y-3x+3}{x^2-x+y^2+3y} \right)=0[/tex]

[tex]\implies \tan^{-1}\left({\dfrac{y-3x+3}{x^2-x+y^2+3y} \right)=0[/tex]

[tex]\implies \dfrac{y-3x+3}{x^2-x+y^2+3y}=\tan(0)[/tex]

[tex]\implies \dfrac{y-3x+3}{x^2-x+y^2+3y}=0[/tex]

[tex]\implies y-3x+3=0[/tex]

[tex]\implies y=3x-3[/tex]

[tex]\textsf{Substitute\;\; $y=3x-3$ \;\;into \;\;$\dfrac{x-1}{y}$}:[/tex]

[tex]\begin{aligned}\implies \dfrac{x-1}{y}& =\dfrac{x-1}{3x-3}\\\\ & =\dfrac{x-1}{3(x-1)}\\\\ & =\dfrac{1}{3}\end{aligned}[/tex]

[tex]\textsf{Therefore, the value of\; $\dfrac{x-1}{y}$\; is\; $\dfrac{1}{3}$}.[/tex]

The income of each laborer is MVR 95.

The total amount of money kept aside by the road transport company of Maldives is MVR 950.

Initial hiring of the laborer is 10.

Here we have to have to income of each laborer.

So, Income of each laborer = total income/number of laborer

                                              = 950/ 10

                                              = 95

Therefore the income of each laborer is MVR95.

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Answer:

-1/2

Step-by-step explanation:

first, we multiply 2 and -5 which is -10, then we multiply 5 and 4 which is 20

so, we get -10/20 then the simplest form is -1/2

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The critical points are 0, 5 and 9 for the inequality (x² - 9 x) / (x - 5) < 0.

The critical point is a single value at which the function is not differentiable

The inequality is given as:

(x² - 9 x) / (x - 5) < 0.

Factorize the numerator

x (x - 9) / (x - 5) < 0.

Equate it to 0, we get that:

x (x - 9) = 0 or x - 5 = 0

x = 0 or x - 9 = 0 or x - 5 = 0

So, the critical points will be:

x = 0 or x = 9 or x = 5.

Therefore, the critical points are 0, 5 and 9 for the inequality (x² - 9 x) / (x - 5) < 0.

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25 times 789 is 19725

the answer:19,725

Answer:

B. {-4, -2, 0, 2, 4}

Step-by-step explanation:

A definition for the word domain is the "input" of a function, also called the x values.

A definition for the word range is the "output" of a function, also called the y values.

With this knowledge, looking at the question, it is asking for the range of the relation, which means we are looking at the y values.

A is incorrect because it shows all values from -4 to 4, however some are not in the relation shown.

B is correct because it is showing all of the y values given in the table and no others.

C is incorrect because it is just showing the bounds of the relation, but not all values between.

D is incorrect because it is the domain of the function, or the x values.

Therefore, you were correct, and your answer is B.

Answer: B? Although its supposed to be {4, 2, 0, -2, -4}

Answer:

A = 8x, B = -a^2-2a-2

Step-by-step explanation:

Based on the calculations, the ratio of water to cement (W:C) is equal to 1:1.

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

A proportion can be defined as an expression which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Given the following data:

Substituting the given parameters into the formula, we have;

Therefore, the ratio of water to cement is given by:

Ratio of water to cement, W:C = 3:3

Ratio of water to cement, W:C = 1:1.

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Answer:

D. 2z^3/y

Step-by-step explanation:

xyz^2 = 2z^4

z(xyz) = z(2z^3)

xyz = 2z^3

xz = (2z^3)/y

Answer:

no

Step-by-step explanation:

Put them as fractions that have equivalent denominators.

3/4 :27/36 (multiply 9 to both numbers)

12/9 :48/36(multiply 4 to both numbers)

Since the numerators are not the same the answer is no.

If they were equal both numerator and denominator would be the same

Answer:

0.745/9.089

Multiply numerator and denominator by 1000

=745/9089

Out of 40 hours that Marcie works, 15 of those hours are spent answering phones. The problem asks that the hours spent answering telephones goes first in the ratio, so that will be the first number.

15 :

The last number is the total number of hours Marcie works.

15 : 40

The proportion of Trick-or-treaters not dressed as Snow white are 5/9.

A proportion may be defined as the way of representation of numbers or letters in the form of ratios which are made equal to each other. For example, if there are 1 mango and 2 bananas then the ratio is written as 1:2 that is for every 1 mango there are 2 bananas and there are 1/3 mangoes and 2/3 bananas.

Total number of Trick-or-treaters = 9

Total number of Trick-or-treaters dressed as Snow white = 4

Total number of Trick-or-treaters not dressed as Snow white = 9-4 = 5

Thus, Proportion of Trick-or-treaters not dressed as Snow white = 5/9

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Answer:

True

Step-by-step explanation:

Because anything multiplied by 0 is equal to 0.

Answer: WX, ZY and WX and AB.

The 2nd one is correct.

Answer:

A:B= 1:3

let A=1x,B=3x

A+B = x+3x

x+3x = 40

4x = 40

x=10

A=1(10)=10

B=3(10)=30

Step-by-step explanation:

Dont really know how to explain it well