You buy a book for 16.99 and pay 6% sales tax. What is the total price including sales tax?

Answer:

1/64

Step-by-step explanation:

(1/8)² = 1/64

Answer:

x=12

Step-by-step explanation:

Answer:

x= -6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

bit late but Sharmila read 8 pages every 5 minutes.

Step-by-step explanation:

let's take a look at the first time on the chart. 15 minutes. 15/5=3. 3x8=24. this works with the rest of the numbers too.

Answer:

x² + 4x + 3

Step-by-step explanation:

Dividing by (x - 5) then use h = 5 as divisor

5 | 1    - 1    - 17    - 15

    ↓     5     20     15

   -------------------------------

     1     4      3       0 ← remainder = 0

quotient = x² + 4x + 3

[tex]x^{2} +4x+3[/tex] is the quotient when [tex]x^{3} - x^{2} -17x-15[/tex] is solved using synthetic division.

Synthetic division is a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions.

Synthetic division of the given question-

5    |     1        -1        -17        -15

                     5         20        15

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

           1         4         3           |0|          

Remainder = 0

Quotient = [tex]x^{2} + 4x+3[/tex]

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Answer:

60.36

Step-by-step explanation:

Answer:

60:36 is the only equivalent ratio

Answer:

I'm not sure if you're looking for an approximation or the exact amount, so I'll give you both. The drama club would need exactly 9.375 lbs of chocolate for the 75 orders, or 6.375 more lbs. If we round that up to the nearest pound, the club would need 10 lbs of chocolate to cover the 75 orders, with some left over. So, they would need 7 lbs more.

Answer:

0.00604

Step-by-step explanation:

The exponent tells us how many spaces to move the decimal in a given number. If its positive, the decimal moves to the right. If its negative, the decimal moves to the left.

6.04 x 10⁻³ = 0.00604

Answer:

Option A

Step-by-step explanation:

From the last triangle given in the picture,

x° = 45° + 85° [By the definition of exterior angle of a triangle]

x = 130°

Another way to get the value of x,

By triangle sum theorem,

45° + 85° + y° = 180°

y° = 180° - 130°

y = 50°

And (x° + y°) = 180° [linear pair of angles]

x + 50 = 180

x = 130°

Therefore, x = 130° because 180 - (45 + 85) = 50 and 180 - 50 = 130

Option A is the answer.

Answer:

(3, -3)

Step-by-step explanation:

Answer:

(4,4)

Step-by-step explanation:

when you go down 3 units you just need to subtract 3 from 7

Answer:

Step-by-step explanation:

if you have one side =2/7

area = (2/7)^2=4/49 m^2

To find the area of a square, we need to know the length of one of its sides. In this case, the given length of a side is 2/7m. So, the area of the square is 4m² / 49.

To find the area, we use the formula A = s², where A represents the area and s represents the length of a side. Let's substitute the given value into the formula:

A = (2/7m)²

To square 2/7m, we multiply it by itself:

A = (2/7m) × (2/7m)

To multiply fractions, we multiply the numerators together and the denominators together:

A = (2 × 2) / (7 × 7) × m × m

Simplifying the numerator and denominator:

A = 4 / 49 × m × m

Finally, we can write the area as a fraction:

A = 4m² / 49

So, the area of the square is 4m² / 49.

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Answer:

30

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

Answer:

The answer is 20%

Step-by-step explanation:

20% because if there are 50 altogether and there are only 30 blue books, then there 20 more books that are red that will make the count of 50

Answer:

$150

Step-by-step explanation:

18*10 = 180

180*5/6 = 150

Answer:

The commission is $200

Step-by-step explanation:

8,000 x 2.5% = 200

Answer:

[tex]y = 1.4[/tex]

Step-by-step explanation:

Given

[tex]y = width[/tex]

[tex]x = length[/tex]

[tex]y = 3;\ when\ x = 14[/tex]

Required

Find y when x = 30

Being an inverse variation, we have:

[tex]y\ \alpha\ \frac{1}{x}[/tex]

Convert the variation to an equation

[tex]y = \frac{k}{x}[/tex]

First, we solve for k

Make k the subject to solve for k

[tex]k = xy[/tex]

[tex]y = 3;\ when\ x = 14[/tex]

So, the value of k is:

[tex]k = 14 * 3[/tex]

[tex]k = 42[/tex]

To solve for y when x = 30

Substitute 30 for x and 42 for k in [tex]k = xy[/tex]

[tex]42 = 30 * y[/tex]

Make y the subject

[tex]y = \frac{42}{30}[/tex]

[tex]y = 1.4[/tex]

The width of the rectangle would be as follows:

[tex]1.4[/tex]  inches

Inverse proportion occurs when one value increases and the other decreases.

The width, [tex]y[/tex], of a rectangle with a fixed area varies inversely with its length, [tex]x[/tex].

So, [tex]y=\frac{k}{x}[/tex] where [tex]k[/tex] is the constant.

The width is [tex]3[/tex] inches when the length is [tex]14[/tex] inches.

So,

[tex]3=\frac{k}{14} \\k=42y=\frac{42}{x}\\Put x=30[/tex]

Therefore, [tex]y=\frac{42}{30}=1.4[/tex] inches

Thus, Width is [tex]\boldsymbol{1.4}[/tex] inches when the length is [tex]30[/tex] inches.

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Answer:

A-3x3 bc the parentheses are multiplying

Answer:

The sets of ordered pair which are functions are;

III. {(3, 0.3), (-3, 0.3)} and IV. {(-2, 2), (2, -2)}

Step-by-step explanation:

The given ordered pairs are;

I. {(2, 3), (2, 4)}, III. {(3, 0.3), (-3, 0.3)} IV. {(-2, 2), (2, -2)}

A combination of ordered pair represent a function if each input is associated with only one output

Therefore, we have;

For I, the single input value, 2 maps to two output values, 3 and 4, therefore, the set of ordered pair {(2, 3), (2, 4)} does not describe a function

For II, the input values, 3 and -3 maps to the single output value, 0.3, therefore, each input has only one output and the set of ordered pair {(3, 0.3), (-3, 0.3)} describes a function

For IV, the input values, -2 and 2 maps to the output values, 2, and -2 therefore, each input has only one output and the set of ordered pair {(-2, 2), (2, -2)} describes a function

Answer:

[tex]=x^3-x^2-30x+72[/tex]

Step-by-step explanation:

Distribute parentheses:

[tex]=xx^2+x\left(-7x\right)+x\cdot \:12+6x^2+6\left(-7x\right)+6\cdot \:12[/tex]

Apply minus - plus rule:

[tex]=x^2x-7xx+12x+6x^2-6\cdot \:7x+6\cdot \:12[/tex]

Simplified:

[tex]=x^3-x^2-30x+72[/tex]

Its complicated but..

Step-by-step explanation:

( x + 6 ) ( x^2 - 7x + 12 )

x ( x^2 - 7x + 12) + 6 ( x^2 - 7x + 12 )

x^3 - 7x^2 + 12x + 6x^2 - 42x + 72

x^3 + 6x^2 + 12x - 42x - 7x^2 + 72

19x - 49x + 72

30x + 72

x = 72/30

x = 2.4

Answer:

There were 200 children and 400 adults in the auditorium.

Step-by-step explanation:

Given that there were a total of 600 peoples in the event.

Let there were n children in the event.

So, the number of an adult in the event = 600-n

As the admission price for one child = 15 pesos

and the admission price for one adult = 25 pesos.

So, total admission price = 15n+25(600-n)

As total money raised = 13000 pesos

So, 15n+25(600-n)=13000

15n+15000-25n=13000

10n=15000-13000=2000

n=2000/10=200

Therefore, number of children = 200

and the number of adults = 600-200=400.

Hence, there were 200 children and 400 adults in the auditorium.

Answer:

vsbnnsmelr bc ycmjsddm

Answer:

Segment PQ

Step-by-step explanation:

Answer:

Im not sure but i think it's Segment PR

Step-by-step explanation:

Answer:

0,3 is  point saying that this is not proportional 4 6 continues the fashion of bases by the point of origin which doesnt exisist or 0,0 so that doesnt work

Step-by-step explanation:

pls answert my question too

Answer:

1060 feet

Step-by-step explanation:

The computation of the perimeter of the rectangle is as follows;

As we know that

Perimeter of the rectangle = 2 × ( length + width)

where

Length of x = 5

And, the width be 5x^3 - 4x^2

= 5(5)^3 - 4(5)^2  

= 625 - 100  

= 525

Now the perimter is

= 2 × (5 + 525)

= 1060 feet

Step-by-step explanation: basically its 6 + 1 = 7x

6 - 14 = 8x  9 + 4 = 13x

Answer: x = 9

Explanation: In this problem, we're given a triangle and information

about each of its angles and we're asked to find the value of x.

The measures of the angle of a triangle always add to 180 degrees.

So we can setup the equation 6x + 1 + 9x + 4 + 6x - 14 = 180.

Simplifying on the left side, we have 21x - 9 = 180.

Adding 9 to both sides, we have 21x = 189.

Now divide both sides by 21 to get x = 9.

This is going to be letter B you are correct

Answer:

The answer is -3

Step-by-step explanation:

1. Distribute -7z + 21 = 42

2. Subtract  42 - 21 = 21

3. -7z = 21

4. Divide 21 / -7 = -3

5. Answer is -3

Answer:

1  1/3

Step-by-step explanation

let carley = c and let monica = m

we need to subtract the taller or bigger number by the smaller number

c-m if we do this properelythen

 5   1/6

- 3   5/6

1   2/6    or 1   1/3