Sarah bought 18 boxes of 65 pens at $12 a box. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. Find her total profit.

Answer:

100. ~113

x ~ 5763(assume that X is price without VAT)

100×5763=113×x

X. =(5763×100)/113. (5763/113=51)

X= 51×100

X =5100

VAT=5763-5100

=RS.663

Given:

Interest rate,

Object price,

The value added tax will be:

→ [tex]\frac{13 \ percent}{100+13} = \frac{VAT}{5763}[/tex]

→       [tex]VAT = 5763\times \frac{0.13}{1.13}[/tex]

                 [tex]= 663[/tex]

Thus the approach above is right.  

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Answer:

An exponent is a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power. x is the base and n is the exponent or power

Example:

[tex]5^{2}[/tex] = 25

not 5x2

5x5

the numeber times the number itself by how many times the exponet says.

***i hope i was clear! ^^

Answer:

An exponent refers to the number of times a number is multiplied by itself. For example 2 to the 3rd.It means 2*2*2=8.

2 to the third is not the same as 2*3=6

if you want to know what I mean by 2 to the 3rd please take at the picture above

Answer:

100.48

Step-by-step explanation:

π = 3.14

C = circumference

To find the circumference for a circle you must do 2 times pie times the radius.

(2·π·16)

In this case the radius is 16.

2·π = 6.28

6.28 · 16 = 100.48

Answer:

is it written like this?

if so then the coefficient of y is 1

Answer:

¼

Step-by-step explanation:

A coefficient is the number that comes before a variable, including its sign (plus/minus). Thus, the coefficient of y is the number that comes before the variable y.

[tex] \frac{y}{4} [/tex] can also be written as [tex] \frac{1}{4} y[/tex]. Since the sign before ¼ is a plus sign, the coefficient of y can simply be written as ¼.

Answer:

A is correct. :)

Step-by-step explanation:

Answer:

1071.61

Step-by-step explanation:

That's how much

Answer:

(-8)x(-8)x(-8)x(-8)x(-8)x(-8)x(-8)

Step-by-step explanation:

Answer:

x/4 -5> -4

add 5 on both sides

x/4 > 1

multiply by 4 on both sides

x > 4

Step-by-step explanation:

Answer:

26 min

Step-by-step explanation:

The slope of the data will be equal to 2 for the book reading.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run of the line.

Given that Jenny started reading her book for English class at 8:03 p.m. and she started on page 24. At 8:29 p.m., Jenny stopped reading and was on page 37.

The slope of the data will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 29 - 3) / ( 37 - 24)

Slope = 2

Therefore, the slope of the data will be equal to 2 for the book reading.

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Answer:

yes it is correct. good job!

Answer:

Answer:

eEEEeEEEEEEEEEEEeeeEeeeeeeeeErrRrrreeReeReRERer

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Probability =

= No. of faces having less than 5 spots / Total no. of faces

= 4/6

=2/3

The probability of a face with less than 5 spots turning up when it tosses a die which has 6 total outcomes is 2/3 or 0.667.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The probability of a face with less than 5 spots turning up when a die is tossed has to be find out.

Here, in this die, it is known that,

Thus, the probability of this event is,

[tex]P=\dfrac{4}{6}\\P=\dfrac{2}{3}\\P=0.667[/tex]

Thus, the probability of a face with less than 5 spots turning up when it tosses a die which has 6 total outcomes is 2/3 or 0.667.

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Answer:

Area = 615.75 [tex]m^{2}[/tex]

Step-by-step explanation:

A = π [tex]r^{2}[/tex]

A = 3.14 x [tex]14^{2}[/tex]

A = 615.75 [tex]m^{2}[/tex]

Answer:

Step-by-step explanation:

Answer:

f(x)=1/2x+16

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

It is given that, a regular hexagon is dilated by a scale factor of 0.4 to make image.

It means, the perimeter of image is 0.4 times the perimeter of the original hexagon.

For example,

Let's take the rectangle with length of 12 and width of 4, it's perimeter is 12+12+4+4 =32

Let's find image using scale factor 0.4, we get

length =0.4(12)= 4.8

width =0.4(4)=1.6

So, perimeter of image = 4.8+4.8+1.6+1.6=12.8

If we compare the perimeters

0.4(32)=12.8.

So, it is true.

Answer: D

4x^4 + 3x^3 + 2x^2 - 11x -5

Step-by-step explanantion:

Flip and make the 4x-5 in the front and then multiply all terms by 4x and then all terms by -5 and then add both answers together.

Answer:

Price today= 3078

Price 10 years from today= 3877.88

Step-by-step explanation:

Price today= 3000 (1.026)= 3078

Price 10 years from today= 3000 (1.026)^10= 3877.88

Answer:

22.5%

Step-by-step explanation:

Answer:

5/8 * n = 55

Step-by-step explanation:

Answer:

Answer = C.31.25

Step-by-step explanation:

SO there are 4 years and every year the price gets 50% of so we take it as 100/2 = 50% so we have to divide 500 by 2 four times that is -

1. 500/2 ( 50% of 500) = 250

2. 250/2 (50% of 250) = 125

3. 125/2 (50% of 125) = 62.50

4. 62.50/2 (50% of 62.50) = 32.25

so we divided 500 4 times to get the answer as 32.25$

Answer:

D

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{KL}{EF}[/tex] = [tex]\frac{JK}{DE}[/tex] , substitute values

[tex]\frac{6x+3}{x+11}[/tex] = [tex]\frac{25}{10}[/tex] ( cross- multiply )

10(6x + 3) = 25(x + 11) ← distribute parenthesis on both sides

60x + 30 = 25x + 275 ( subtract 25x from both sides )

35x + 30 = 275 ( subtract 30 from both sides )

35x = 245 ( divide both sides by 35 )

x = 7

Then

KL = 6x + 3 = 6(7) + 3 = 42 + 3 = 45 → b

Answer:

x = 16

y = 16√3

Step-by-step explanation:

sin(30 degrees) = 1/2

x = 32/2 = 16

cos(30 degrees) = √3/2

y = 16√3

Answer:

x = 16

y = 27.7

Step-by-step explanation:

solving for x: use sine

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ sine 30 = [tex]\frac{x}{32}[/tex]

sine of 30 is 0.50

⇒ 0.50 = [tex]\frac{x}{32}[/tex]

multiply 32 on both sides:

⇒ 0.50 x 32 = [tex]\frac{x}{32}[/tex] x 32

solve:

⇒ 16 = x

solving for y: use cosine

cosine = [tex]\frac{adajcent}{hypotenuse}[/tex]

⇒ cosine 30 = [tex]\frac{y}{32}[/tex]

cosine of 30 is 0.866

⇒ 0.866 = [tex]\frac{y}{32}[/tex]

multiply 32 on both sides

⇒ 0.866 x 32 = [tex]\frac{y}{32}[/tex] x 32

solve:

⇒ 27.7 = y

Answer:

y - 4 = x

Step-by-step explanation:

4 less than y is y minus four, so therefore y - 4 = x

Answer: 1430 girls

Step-by-step explanation:

In order to solve this we must take it step by step. So first things first. There are 12,481 people at this concert. If 8906 are adults we need to subtract to find out how many children there are. 12481-8906=3575. There are 3,575 children at this concert. Now if 3/5 of the children are boys then the other missing 2/5 must be the girls. There are a couple of ways to solve this but im going to go the direct route. multiply 3/5 by 3,575 to get 2,145 boys. Now if 2,145 out of 3,575 are boys then 3575-2145= 1430 girls

Let's sum up what we learned

1. 12,481 people are at a concert

2. 8906 adults are at this concert

3. 3,575 are children

4. 2145 are boys

5. Which means there are 1430 girls

Step-by-step explanation:

C

The measure of an central arc equal arc length so the arc measure 40 degrees.