An author has 18 pages to send to a publisher. The author has only small envelopes and can't fit all the pages into a single envelope. It ends up taking 6 envelopes to hold all the pages. If each envelope has the same number of pages in it, how many pages are there in each envelope? A) 2 pages B) 3 pages C) 4 pages D) 5 pages

Answer:

2 feet per year

Step-by-step explanation:

First, we need to find the amount it grew:

13 - 3 = 10

So between 2005 and 2010 it grew 10 feet.

Now to find the yearly growth we need to divide the distance by time:

10 ÷ 5 = 2

So it grew 2 feet per year.

Answer:

B and E

Step-by-step explanation:

The rules of indicies states:

[tex]x^{a}[/tex] ÷[tex]x^{b}[/tex] = [tex]x^{a-b}[/tex]

So [tex]3^{-8}[/tex] ÷  [tex]3^{-4}[/tex] =  [tex]3^{-8 - - 4}[/tex] =  [tex]3^{-4}[/tex]

So that means B is one of the correct answers.

To find the other correct value, you can divide the two fractions as stated in the question:

[tex]3^{-8}[/tex] by [tex]3^{-4}[/tex] = [tex]\frac{1}{81}[/tex]

81 is equivalent to 3⁴

So that means E is also correct.

[tex]\text{Use}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}\\-----------------------\\\\\dfrac{3^{-8}}{3^{-4}}=3^{-8-(-4)}=3^{-8+4}=\underbrace{\boxed{3^{-4}}}_{\boxed{B.}}=\underbrace{\boxed{\dfrac{1}{3^4}}}_{\boxed{E.}}\\\\Answer:\ \boxed{B.\ and\ E.}[/tex]

Let the number of toys Teddy has on Monday = x

On Monday Harry has = 75% of x or 0.75x

As given, On Tuesday, after Harry acquired 32 more toys and Teddy acquired 15% more than he had on Monday, Harry had as many toys as Teddy did.

Toys Teddy has = [tex]x+\frac{15x}{100}[/tex]

=[tex]\frac{100x+15x}{100} =\frac{115x}{100}[/tex] = 1.15x   .... (i)

Toys Harry has = 0.75x+32   ...... (ii)

As both have equal toys now, so equation (i) equals equation (ii)

[tex]1.15x=0.75x+32[/tex]

[tex]1.15x-0.75x=32[/tex]

[tex]0.4x=32[/tex]

x=80

Hence, Teddy had 80 toys on Monday.

And Harry had 75% of 80 toys = 60 toys on Monday.

Answer:

The equation of the line is y = 6x - 2 .

Step-by-step explanation:

Formula for the equation of line is.

[tex](y - y_{1}) = m (x - x_{1})[/tex]

Where m is the slope.

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

As given

If (-6,-38) and (5,28) are two anchor points on the trend line.

Than

[tex]m = \frac{28 - (-38)}{5 - (-6)}[/tex]

[tex]m = \frac{28 + 38}{5 + 6}[/tex]

[tex]m = \frac{66}{11}[/tex]

m = 6

Put the value in the equation of a line.

[tex](y - (-38)) = 6 (x - (-6))[/tex]

[tex](y + 38) = 6 (x + 6)[/tex]

[tex](y + 38) = 6x + 6\times 6[/tex]

[tex](y + 38) = 6x + 36[/tex]

y = 6x +36 - 38

y = 6x - 2

Therefore the equation of the line is y = 6x - 2 .

Answer:

n-20

--------

3a

Step-by-step explanation:

(3ax - n)/5 = -4

The first step is to multiply each side by 5 to get rid of the fraction

(3ax - n)/5  * 5= -4* 5

3ax - n = -20

Then we need to add n to each side.

3ax -n+n = -20+n

3ax = n-20

Divide each side by 3a to isolate x

3ax/3a = (n-20)/3a

x = (n-20)/(3a)

Answer: Salesperson A made $7,428.30 in commission which is $569.10 more than Salesperson A.

Step-by-step explanation:

A: $67,530 * 0.11  = $7,428.30

B: $85,740 * 0.08 = $6,859.20

                                   $ 569.10

I used Google and got 90%...if you simplify it you will get 9/10 which is a 90%

If 18 out of 20 is given. Then the percentage will be 90%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

The given number statement is 18 out of 20.

Then the percentage will be

P = 18/20 x 100

P = 90%

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Answer:

Three numbers are : 6 , 21 and 3

Step-by-step explanation:

Given,

Ratio of 3 numbers is 2:7:1 .

We can assume 3 numbers as : 2x ,7x and x respectively.

According to the problem :

2x + 7x + x = 30    {The sum of the 3 numbers is 30}

10x = 30

x = 3

Hence 3 numbers are,   x = 3

                                     2x = 2*3 = 6

                                     7x = 7*3 = 21

Therefore we get three numbers as : 6 , 21 and 3

Remember , you can check their ratios to cross check the correct answer.

Answer:

6, 21, and 3

Step-by-step explanation:

Answer:

Andre states that the applied interest is simple interest, this statement is true.

Step-by-step explanation:

From the given table it is noticed that the value of y increased by 17.50 as the value of x increased by 1.

The rate of change is calculated as

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For first two years the rate of change is

[tex]m=\frac{535.00-517.50}{2-1}=17.50[/tex]

The rate of change for next two years is

[tex]m=\frac{552.50-535.00}{2-1}=17.50[/tex]

Similarly, the rate of change for all years in 17.50.

Since the rate of change is same for all years, therefore the future value is increased by a constant rate, therefore the applied interest is simple interest.

So, the statement "the applied interest is simple interest" is true.

Step-by-step explanation: (Apex) just did the quiz 9/26/19

Answer: W= 0.5

Step-by-step explanation:

You add 3w to both sides to get -5= 10w and then you divide everything by 10 to get w= 0.5

-5 - 3w = 7w

-5 - 3w+3w = 7w+3w <<--- add 3w to both sides

-5 + 0w = 10w

-5+0 = 10w

-5 = 10w

10w = -5

10w/10 = -5/10 <<--- divide both sides by 10 to isolate w

w = -5/10

w = -1/2 <<--- reduce; this is the answer in fraction form

w = -0.5 <<---  this is the answer in decimal form

Answer:

The number is 3000

Step-by-step explanation:

Is means equals

24 = 4/5 % *n

Lets change the percent to a decimal.  To change percent, we move the decimal to places to the left.

4/5= .8

4/5 % = .8%  = .008

24 = .008 *n

Divide  each side by .008

24/.008 = .008n/.008

3000 = n

the TV screen would have an area of 122.88 inches

to find this all you would have to do is multiply the 38.4 by 3.2

Answer:

The size of the tv is 122.88", or 122.88 in²

Step-by-step explanation:

a = w * h

w = 38.4

h = 3.2

a = (38.4) * (3.2)

a = 122.88

Answer:

D.) 6

Step-by-step explanation:

A parallelogram needs supplementary consecutive sides. To make 150 supplementary, it needs to add 30 to make 180 degerees.

5 * 6 = 30.

Therefore, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.

What is the parallelogram?

A parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

A parallelogram needs supplementary consecutive sides.

So, to make the supplementary angle i.e., [tex]150[/tex] degree .It requires to add [tex]30[/tex] to make [tex]180[/tex] degree.

[tex]x=6\\5(6)=30[/tex]

Hence, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.

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Answer:

30

Step-by-step explanation:

When l = 10, and w = 5

Plug in 5 for "w" and 10 for "l" inside the equation.

p = 2(10) + 2(5)

Solve for the variable "p". Simplify the equation. Remember to follow PEMDAS. First, solve the multiplication

p = 20 + 10

Next, add.

p = 30

30 is your answer for p in this problem

~

Answer:

C. $327.93

Step-by-step explanation:

The formula for interest compounded quarterly is

A = P(1 + r/n)nt   where P is the principal

                                r is the rate

                                t is the time in years  

                                n is the compoundings per year

 p =230  r= .12  t= 3  n =4  since it is quarterly

Substituting these in

A = 230 (1+ .12/4)^(3*4)

   = 230(1.03)^12

    =327.93

Answer:

The answer is C. $327.93

Hope this helps and have a Merry Christmas.  

P.S. Could you make me brainlest?  It would help SO much.  Thanks!

the correct answer to this question would be: y=8

−(−y+18)+11  =1

y−18+11        =1

y−7              =1

y                  =8

Answer:

27 children.

Step-by-step explanation:

For every 9 children there are 4 adults .

x + y = 39  where x = number of children and y = number of adults.

and x/y = 9/4

so  4x = 9y

then x =  9y/4 , so substituting for x in the first equation:-

y + 9y/4 = 39        Multiplying through by 4:-

4y + 9y =  156

y = 156/13 = 12  so there are 12 adults

and 39 - 12 = 27 children

The problem is solved by using the ratio of children to adults and setting up a proportion. After cross-multiplying and solving the equation, it is determined that there are 27 children at the movie.

This is a problem of ratio and proportion. In this case, the ratio of children to adults at the movie is 9 to 4. This means that for every 13 people at the movie (9 children plus 4 adults), 9 are children. We can set up a proportion to determine how many out of the total 39 people at the movie are children.

The proportion is:
9 children / 13 total people = x children / 39 total people

We can solve this problem by cross multiplying: 9 * 39 = 13 * x, which gives us: 351 = 13x. Dividing both sides of the equation by 13, we get: x = 27.

Therefore, 27 children are at the movie.

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Answer:

Domain: [tex]\mathbb{R}[/tex]

Inverse: [tex]f^{-1}(x) = -x + 5[/tex]

Step-by-step explanation:

Since this is a linear function, the domain and range is simply the set of real numbers.

The inverse is obtain by switching the places of x and y, then solving for y.

Here,

y = -x + 5

So switching x and y,

x = -y + 5

Solving for y again,

y = -x + 5

Thus,

[tex]f^{-1}(x) = -x + 5[/tex]

Answer:

The domain of linear function is always the set of all real numbers

Range is also the set of all real numbers

[tex]f^{-1}=-x+5[/tex]

Step-by-step explanation:

[tex]f(x) = -x + 5[/tex]

Domain is the set of x value and range is the set of y value. There is no restriction for x  and y in a linear function.

The domain of linear function is always the set of all real numbers

Range is also the set of all real numbers

Now find the inverse

[tex]f(x) = -x + 5[/tex]

Replace f(x) with y

[tex]y = -x + 5[/tex]

Replace x with y and y with x

[tex]x = -y + 5[/tex]

Subtract 5 from both sides

[tex]x-5=-y[/tex]

Divide both sides by -1

[tex]y=-x+5[/tex]

Replace y by f^-1

[tex]f^{-1}=-x+5[/tex]

Answer: 10/9

Step-by-step explanation:

On the width:

6 yards = 18 feet

24 inches = another 2 feet

Total width = 20 feet

On the length:

6 yards = 18 feet

Ratio of width to length = (20 feet) / (18 feet) = 10/9

The actual width of the garden is 72 inches, which is equivalent to 2 yards

To determine the actual width of the flower garden, we need to use the given scale of 1:12. This means that 1 inch on the plan represents 12 inches in reality. Given that the flower garden is 6 inches wide on the plan, we set up a proportion to find the actual width.

The proportion is:

1 inch on plan : 12 inches in reality = 6 inches on plan : x inches in reality

So we calculate:
(1 inch / 12 inches) = (6 inches / x inches)

Now we solve for x:
1/12 = 6/x
x = 6 * 12
x = 72 inches

Therefore, the actual width of the garden is 72 inches, which can be converted into yards by knowing that 1 yard equals 36 inches. Thus, 72 inches is equivalent to 2 yards (since 72 / 36 = 2).

Answer:

m

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values 45m and 6m. Each has numbers which multiply together to give the number. We need to find the highest value or most in common they share. Each has the factors:

45m: 1, 5, 9, 45, m

6m: 1, 2, 3, 6, m

Both have 1 and m as factors. Our GCF is these two factors multiplied which is 1m=m.

Answer:

B) 19/42

Step-by-step explanation:

To find the fraction halfway between 3/7 and 10/21 we first find the difference between the fractions, half it, and then add it back on to the smaller one.

Because 10/21 > 3/7 we subtract in that order

[tex]\frac{10}{21} - \frac{3}{7} = \frac{10}{21} - \frac{9}{21} = \frac{1}{21}[/tex]

Half of 1/21 is 1/42 and so the fraction halfway between 3/7 and 10/21 is

[tex]\frac{3}{7} + \frac{1}{42} = \frac{18}{42} + \frac{1}{42} = \frac{19}{42}[/tex]

Answer:

160 Seconds

Step-by-step explanation:

acceleration * seconds = distance

1.75 * (x) = 280

1.75x=280

x= 280/1.75

x= 160

In the given case, It will take 160 seconds to transport you 280 feet on the moving walkway.

To determine how long it will take to transport you 280 feet on a moving walkway, we can use the formula:

This formula is particularly useful in various scenarios, such as calculating travel time for a journey, determining how long it will take for an object to reach a certain location, or estimating the time it will take for a process to complete at a given speed.

Time = Distance / Speed

Plugging in the given values, we have:

Time = 280 feet / 1.75 feet per second = 160 seconds

Therefore, the correct answer is 160 seconds.

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Answer:

The answer would be 20.05 hours per day.

Answer: There are 20.05 kwh that Luke use per day during the month of April.

Step-by-step explanation:

Since we have given that

Amount of electric bill = $84.21

Charges of electric company = $ 0.14 per kWh

We need to find the number of kilowatt hours.

Number of days in the month of April = 30 days

According to question,

[tex]84.21=0.14\times 30\times x\\\\84.21=4.2\times x\\\\\dfrac{84.21}{4.2}=x\\\\x=20.05\ kwh[/tex]

Hence, there are 20.05 kwh that Luke use per day during the month of April.

Answer:

5/8

Step-by-step explanation:

it is 5/8 because if it is greater than1/2, which =to 4/8, and less than 6/8, it must be the number in between, which is 5/8

Answer: 53

52.85 is closer to 53, than it is to 52

The digit after the ones digit is 8, which is 5 or larger, so that tells us to round up from 52 to 53. We drop everything after the ones digit.

it would take five days for them to complete their job if you want an explanation just ask

It will take 5 days for the 4 people working 6 hours a day to complete the kitchen remodel.

Let's calculate the total work hours required to complete the kitchen remodel and then determine how many days it will take for the 4 people working 6 hours a day to finish the job.

The estimated total work hours for one person to complete the remodel is 120 hours.

Total work hours required = 120 hours

Now, we have 4 people working on the job, and each person works 6 hours a day.

Total work hours per day with 4 people = 4 people * 6 hours/person = 24 hours

To find the number of days it will take to complete the job, we divide the total work hours required by the total work hours per day with 4 people:

Number of days = Total work hours required / Total work hours per day with 4 people

Number of days = 120 hours / 24 hours/day

Number of days = 5 days

It will take 5 days for the 4 people working 6 hours a day to complete the kitchen remodel.

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The value in cents of n nickels: 5n

The value in cents of d dimes and p pennies: 10d + p

The value in cents of w dollars: 100w

The next whole number following a whole number w: w + 1

The value in cents of n nickels can be written as a numerical or variable expression as 5n, with n representing the number of nickels. This is because each nickel is worth 5 cents.

The quantity in cents of n nickels can be written as a numerical or variable expression. Because each nickel is worth 5 cents, you multiply the number of nickels, represented by n, by 5. This can be written as 5n. For example, if you have 4 nickels, you could calculate the total value in cents by multiplying 5 by 4, giving you 20 cents.

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