20 POINTS! A book sold 39,200 copies in its first month of release. Suppose this represents 7.1% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.

Answer:

(12, 2) 85° 95° 2.72 units 3.29 units

(11, 1) 81° 99° 2.03 units 3.04 units

(4, 2) 90° 90° 3.62 units 3.62 units

(8, 5) 102° 78° 5.70 units 4.37 units

(9, 7) 109° 71° 6.93 units 4.82 units

Step-by-step explanation:

I was looking for an answer then decided to do it myself and these are the correct answers.

(12, 2)

85° 95° 2.72 units & 3.3 units

(11, 1)

81° 99° 2.03 units & 3.04 units

(4, 2)

90° 90° 3.62 units & 3.6 units

(8, 5)

102° 78° 5.70 units & 4.4 units

An ordered pair is a composition of the x-coordinate and the y-coordinate, having two values written in a fixed order. Ordered pair helps to locate a point on the Cartesian plane.

The cartesian plane is a two-dimensional coordinate plane, which is formed by the intersection of the x-axis & y-axis. The 2 axes intersect at the angle of 90degree to each other at the point called the origin.

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Answer:

To make AB perpendicular to CD move point B until the angle between the lines, BEC measures 90°.

Step-by-step explanation:

Plato

If you have to make AB perpendicular to CD, rotate AB clockwise, until and unless both the lines intersect at 90 degrees.

Angles : the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.   

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that as you move point B, the angle formed between AB and CD varies.

If you have to make AB perpendicular to CD, rotate AB clockwise, such that the point B moves in clockwise direction, until and unless both the lines intersect at 90 degrees.

Therefore, if you have to make AB perpendicular to CD, rotate AB clockwise, until and unless both the lines intersect at 90 degrees.

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Answer:

Rational.

Step-by-step explanation:

This is because

[tex]19 \div 9 = 2.1111111...[/tex]

Where the product is a recurring decimal and recurring /repeating decimals are rational.

Hope this helps... :-)

Answer:

13

1.57

Step-by-step explanation:

So we have two equations regarding the number of quarters q and the number of pennies p:

[tex]p+q[/tex]

Which represents the total amount of coins and

[tex]0.01p+0.25q[/tex]

Which represents the total amount of money in dollars.

So we are asked to evaluation each expression for the situation in which we have 6 quarters and 7 pennies. Thus, plug 6 in for q and 7 in for p:

[tex]p+q\\(7)+(6)=13[/tex]

This tells us that we have 16 coins in total.

[tex]0.01(7)+0.25(6)\\=0.07+1.50\\=1.57[/tex]

This tells us that we have a total amount of $1.57.

Answer:

[tex]\Large \boxed {13} \\ \boxed{ 1.57}[/tex]

Step-by-step explanation:

Pennies ⇒ [tex]p[/tex]

Quarters ⇒ [tex]q[/tex]

First expression describes the total number of coins in the pocket ⇒ [tex]p+q[/tex]

Second expression describes the amount of money in dollars in the pocket ⇒ [tex]0.01p+0.25q[/tex]

There are 6 quarters and 7 pennies in the pocket.

First expression :

[tex]p+q \\ 7 + 6 = 13[/tex]

Second expression :

[tex]0.01p+0.25q \\ 0.01(7)+0.25(6) \\ 0.07+1.5 =1.57[/tex]

Answer:

Option (A)

Step-by-step explanation:

Let the Sine of the given angle θ is,

Sinθ = [tex]\frac{x}{y}[/tex]

Then θ = [tex]\text{Sin}^{-1}(\frac{x}{y} )[/tex]

From the given values in the question,

Sinθ = [tex]\frac{7}{29}[/tex]

θ = [tex]\text{Sin}^{-1}(\frac{7}{29} )[/tex]

θ = 13.97°

Therefore, measure of the angle 'θ' will be 13.97°.

Option (A) will be the answer.

Answer:

Point B

Step-by-step explanation:

The square root of 11 is about 3.31. SO the most accurate point is B.

Answer: Hi!

A number that is bigger than 5 2/3 but smaller than 6 could be 5.7.

A number that is bigger than 5.6 but smaller than 5 2/3 could be 5.62.

Hope this helps!

In fact 5 2/3 means 5+2/3 for this. So,5+2/3 = 17/3 = 5.6

For first question, if "numbers" are also include rational numbers, you can write any rational number according to this interval. For example, 5.7 , 5.75, 5.9

But the second one, the interval that is shown us has the same value 5.6 and 5.6. So you cannot find a number which should bigger 5.6 and smaller 5.6 . It seems impossible I mean.

Answer: C

Step-by-step explanation:

6+3=9

9+3=2

Answer: A

Step-by-step explanation:

6+3=9

9+3=12

Answer:

A. 2.5 miles divided by 4 miles/hour divided by 60 minutes/ hour

Step-by-step explanation:

Time = distance/speed:

Correct answer choice is:

Answer:

2

Step-by-step explanation:

n = 2

Answer:

240 m³

Step-by-step explanation:

Triangular base = 1/2bh=

1/2(5)(12)=30

30x8=240m³

(Volume is in cubic units, not square units, so I’m not sure why the question says that.)

Answer:

i dont know this man if i did  would help

Step-by-step explanation:

Answer:

6 ounces

Step-by-step explanation:

4 tablespoons 1/4 cup 2 fluid ounces

5 1/3 tablespoons 1/3 cup 2.7 fluid ounces

8 tablespoons 1/2 cup 4 fluid ounces

12 tablespoons 3/4 cup 6 fluid ounces

The solution is 6 fluid ounces

The value of 3/4 cups of water is given by the equation A = 6 fluid ounces

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of water be represented as A

Let the number of cups of water be = 3/4 cups

Now ,

1/4 cups = 4 tablespoons = 2 fluid ounces

1/2 cups = 8 tablespoons = 4 fluid ounces

So , 3/4 = ( 1/2 ) + ( 1/4 )

And , Substituting the values in the equation , we get

3/4 cups = 12 tablespoons = 6 fluid ounces

Therefore , the value of A is 6 fluid ounces

Hence , the equation is A = 6 fluid ounces

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Answer: 6 hours as lifeguard 8 hours as cashier.

Step-by-step explanation: 6x13=78 11x8=88 78+88/166

Answer:

Exactly 3 3/8 bags of soil are needed for Pan to fill the flower pot

Step-by-step explanation:

Here in this question, we are concerned with calculating the number of bag of soils with a given volume each needed to fill a flower pot with soil.

What we simply need to do here is to divide the volume of the flower pot with the volume of the individual bag of soils;

Mathematically, that would be;

9 divided by 2 2/3

= 9 divided by 8/3

= 9 * 3/8 = 27/8 = 3 3/8 bag of soils

Answer:

Approximate marks sally get = 95%

Step-by-step explanation:

Given:

Sally's study time = 1.5 hour = 1.5 × 60 = 90 minute

Find:

Approximate marks sally get.

Computation:

Number of minute sally study = 1.5 × 60

Number of minute sally study = 90 minutes

Using graph,

Vertical line on 90 minutes shows 95% , we can say that the person who study 90 minutes per day get 95% marks

So,

Approximate marks sally get = 95%

Answer:95

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram in the attachment.

The flag is rectangular in nature and the formula for calculating the perimeter of a rectangle is P = 2(L+W) where;

L is the length of the flag

W is the width of the flag

From the diagram, L = y and W = 11y/8

Since the perimeter = 190 inches, we will substitute the given parameters into the formula and firs calculate the value of y.

190 = 2(y+11y/8)

190 = 2y + 11y/4

multiply through by 4

760 = 8y+11y

760 = 19y

y = 760/19

y = 40

The length of the flag is 40 inches and the Width of the flag is 11(40)/8 = 55inches.

Hence, the dimensions of the flag in inches is 40 inches by 55 inches.

Answer:

120

Step-by-step explanation:

The computation of the other integer is shown below:

The Factor of 48 is 2^4 × 3

Also the greatest common divisor is 24,

This results that the second number also contains the factors 2^3 and 3 but not a fourth 2.

Now when there is a division of 240 by 48 so the number comes is 5

Now the second number factors are 2^3 and 3 that represents that it is under the factors of 48 but the factor 5 would arise from the second number

So, the other number is 120

Answer:

120

Step-by-step explanation:

If you want the aops explanation:

The prime factorization of 48 is $2^4\cdot3$. Since the greatest common factor is 24, that means the other number also has the factors $2^3$ and 3 but not a fourth 2. When we divide 240 by 48, we get 5. The factors $2^3$ and 3 of the other number are covered by the factors of 48, but the factor 5 must come from the other number. So, the other number is $2^3\cdot3\cdot5=\boxed{120}$.

Answer:

[tex] \boxed{\sf Perimeter \: of \: rectangular \: garden = 10x + 2} [/tex]

[tex] \boxed{\sf Area \: of \: rectangular \: garden = 6x^2 + x - 2} [/tex]

Given:

Length of rectangular garden = 2x - 1

Width of rectangular garden = 3x + 2

Step-by-step explanation:

[tex] \sf Perimeter \: of \: rectangular \: garden = 2(Length + Width)[/tex]

[tex] \sf = 2((2x - 1) + (3x + 2))[/tex]

Grouping like terms:

[tex] \sf = 2((2x + 3x) + (2 - 1))[/tex]

2x + 3x = 5x:

[tex] \sf = 2(5x + (2 - 1))[/tex]

2 - 1 = 1:

[tex] \sf = 2(5x + 1)[/tex]

[tex] \sf = (2 \times 5x) + (2 \times 1)[/tex]

2 × 5x = 10x:

[tex] \sf = 10x + (2 \times 1)[/tex]

2 × 1 = 2:

[tex] \sf = 10x + 2[/tex]

[tex] \therefore[/tex]

Perimeter of rectangular garden = 10x + 2

[tex] \sf Area \: of \: rectangular \: garden = Length \times Width[/tex]

[tex] \sf = (2x - 1)(3x + 2)[/tex]

[tex] \sf = 2x(3x + 2) - 1(3x + 2)[/tex]

[tex] \sf = (2x \times 3x) + (2x \times 2) - (1 + 3x) - (1 \times 2)[/tex]

2x × 3x = 6x²:

[tex] \sf = 6 {x}^{2} + (2x \times 2) - (1 + 3x) - (1 \times 2)[/tex]

2x × 2 = 4x:

[tex] \sf = 6 {x}^{2} + 4x - (1 + 3x) - (1 \times 2)[/tex]

1 × 3x = 3x:

[tex] \sf = 6 {x}^{2} + 4x - 3x - (1 \times 2)[/tex]

1 × 2 = 2:

[tex] \sf = 6 {x}^{2} + (4x - 3x) - 2[/tex]

4x - 3x = x:

[tex] \sf = 6 {x}^{2} + x - 2[/tex]

[tex] \therefore[/tex]

Area of rectangular garden = 6x² + x - 2

Answer:

Perimeter = 10x+2 m

Area = 6x²+x-2 m²

Step-by-step explanation:

Length of garden (l) = 2x-1

width or breadth of garden ( b) = 3x+2

Now,

Perimeter of the garden (p) = 2( l + b)

= 2 ( 2x-1 + 3x+2 )

= 2 ( 5x + 1 )

= 10x+2 m. ( Answer )

Again,

Area of garden (a) = l * b

= ( 2x-1 ) ( 3x+2 )

= 2x ( 3x+2 ) -1 ( 3x+2 )

= 6x² + 4x - 3x - 2

= 6x²+x-2 m². ( Answer )

confused dont rly kniw srry i just asked for help

Answer:

3

Step-by-step explanation:

Answer:

47/4  or 11.75 = m

Step-by-step explanation:

-47 -2.5 = -2.5 - 1.7m - 2.3m

Combine like terms

-49.5 = -2.5 -4m

Add 2.5 to each side

-49.5 +2.5 = -2.5+2.5 -4m

-47 = -4m

Divide each side by -4

-47/-4 = -4m/-4

47/4 = m

11.75 = m

Answer:

30*50*40

= 60000

Step-by-step explanation:

yes

Answer:

-262

Step-by-step explanation:

Given sequence is: 33, 28, 23, 18...

First term a = 33

Common Difference d = 28 - 33 = - 5

To find: [tex] t_{60}[/tex]

By nth term of an AP.

[tex]t_n = a + (n - 1)d \\ t_{60} = 33 + (60- 1)( - 5) \\ t_{60} = 33 + 59( - 5) \\ t_{60} = 33 - 295\\ t_{60} = - 262\\ [/tex]

Add the times together:

19/100 + 4/10

Find the common denominator, which is 100 so rewrite 4/10 as 40/100

Now add:

19/100 + 40/100 = 59/100

The first car beat the third car by 59/100 seconds.

Answer:

Step-by-step explanation:

[tex] \frac{ {b}^{10} }{ {b}^{6} } [/tex]

Using the rules of indices

That's

[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]

Since the bases are the same and are dividing we subtract the exponents

So we have

[tex] \frac{ {b}^{10} }{ {b}^{6} } = {b}^{10 - 6} [/tex]

We have the final answer as

Hope this helps you

Answer:

b⁴

Step-by-step explanation:

b¹⁰ / b⁶ = b¹⁰ ⁻⁶ = b⁴

Answer:

D. Quadrant IV

Step-by-step explanation:

Directed numbers are numbers with either a positive sign or a negative sign. These numbers can be located easily on the number line. Examples are: 2, 5, -1, -3, -7, 9 etc.

Given that: x > 0 and y < 0

For example, let us consider specific directed number for x and y. Let x = 5 and y = -2, so that; (5, -2). This point can be located in the fourth quadrant of a Cartesian plane.

Therefore considering a Cartesian plane, the quadrant in which (x, y) could be located is: Quadrant IV.

Answer:

625

Step-by-step explanation:

The modulus of 3 - 4i is

[tex]\sqrt{3^2+(-4)^2}[/tex] = [tex]\sqrt{9+16}[/tex] = [tex]\sqrt{25}[/tex] = 5, thus

| [tex](3-4i)^{4}[/tex] |

= [tex]5^{4}[/tex]

= 625

Answer:

The algebraic expression is:

a + 5 = 7

Step-by-step explanation:

The algebraic expression is:

a + 5 = 7

then:

a = 7-5

a = 2

and the number is:

2

Answer: the rules are

+(+) Two like signs become a positive sign

−(−) 6−(−3) = 6 + 3 = 9

+(−) Two unlike signs become a negative sign

−(+)

Step-by-step explanation:

Example:  3+(+2) = 3 + 2 = 5, 6−(−3) = 6 + 3 = 9, 7+(−2) = 7 − 2 = 5,8−(+2) = 8 − 2 = 6  hope this helps you :)