It costs 4.75 for a pack of 25 pencils. Find the unit price in dollars per pencil. If necessary, round your answer to the nearest cent.

Answer:

2/9 4/18 12/54

4/9 8/18 24/54

5/9 10/18 30/54

7/9 14/18       42/54

Step-by-step explanation:

Answer:

4 : 18 and 6 : 27

Step-by-step explanation:

To obtain equivalent ratios, multiply or divide both parts of the ratio by the same quantity.

Multiplying by 2

2 : 9 = 2(2) : 9(2) = 4 : 18

Multiplying by 3

2 : 9 = 2(3) : 9(3) = 6 : 27 , etc

Answer:

She is 90 feet above ground before she begins to descend.

She descends by a rate of 5 feet per second.

Step-by-step explanation:

She is 90 feet above ground before she begins to descend. You can see that by looking at the y value of the highest point of the line, which is just between 80 and 100, which is 90.

We can find the rate of her descending by finding the slope. Remember that the slope formula is (y1-y2)/(x1-x2)

We can find two points on the line and plug the x and y values in. Let's use the points (0, 90) and (16, 10).

We plug the values in:

(90-10)/(0-16)

(80)/-16

-5

The slope is negative, which makes sense, because Aretha is descending and not ascending.

So, she is descending by a rate of 5 feet per second.

I hope this helps you!

Answer:

x = 30

Step-by-step explanation:

The perimeter is the sum of all of the sides of a shape. Therefore, because the sum is equivalent to 104 inches and we are given the lengths of all three sides, we can add the three sides together and set them equal to 104 in order to solve for x.

(x + 3) + (x + 4) + (x + 7) = 104 Drop the parentheses.

x + 3 + x + 4 + x + 7 = 104 Combine like terms (variables first!).

3x + 3 + 4 + 7 = 104 Now, combine constant terms.

3x + 14 = 104 Subtract 14 from both sides.

3x = 90 Divide by 3 on both sides of the equation.

x = 30

Answer:

n=-8 use simple algebra n=x

Step-by-step explanation:

Answer:

-8 = n

Step-by-step explanation:

5n - 4 = 4 + 6n

Subtract 5n from each side

5n-5n - 4 = 4 + 6n-5n

-4 = 4 +n

Subtract 4

-4-4 = n

-8 = n

Answer:

No, because 4/8*2= 8/16

And 8/16 is greater than 5/16

Answer:

The statement is false.

Step-by-step explanation:

The easiest way to answer this question is to make both fractions have the same common denominator.  In this case, we should alter the first fraction to have a denominator of 16 so that it matches the second fraction.  To do this, we should multiply both the numerator and the denominator of the fraction by 2 (this is the same as multiplying by 1, which does not change the value of the fraction).  This is modeled below:

4/8 * 2/2 = 8/16

Now, we can plug this value back into our original statement.

8/16 < 5/16

From comparing the numerators, we know that 5 is NOT greater than 8, so the statement is false.

Hope this helps!

Answer:

3/4

Step-by-step explanation:

The mean of a data set is synonymous with the average. To find the mean, add up all the values in the data set and then divide by the number of elements.

From the table, there is 12 values. Thus, add up all the 12 values and then divide by 12:

[tex]\bar x=\frac{(-3)+4+8+(-1)+(-4)+(-2)+0+2+5+2+(-3)+1}{12}[/tex]

Simplify:

[tex]\bar x=\frac{9}{12}[/tex]

Reduce:

[tex]\bar x=3/4[/tex]

Therefore, the mean of the data set is 3/4.

For the data set, this means that the average person guesses the temperature too high by about 3/4°F.

(Note: the symbol of x with a bar over it denotes the mean of a set)

Answer:

Carlos could play a total of 15 games

Step-by-step explanation:

In the grand opening of JoJo's arcade:

First 3 games are free

75 cents after the first 3 free games

Carlos has $9 saved from his allowance

75 cents = $0.75

Number of games Carlos could play = Total saved allowance / cost per game after 3 free games

= $9 / $0.75

= 12 games

Total number of games Carlos could play = free games + games from his allowance

= 3 + 12

= 15 games

Carlos could play a total of 15 games

Answer:

Stephon can buy total 4 chips bag and 2 candy bar

Given as :

The money which Stephon has in his pocket = $ 12

The cost of one chips bag = $ 2.25

The cost of one candy bar = $ 1.50

The total number of items he can buy = 6

So, Let the number of chips bag he can buy = x

∴ The number of candy bar he can buy = 6 - x

Now, according to question

The number of chips bag×The cost of one chips bag + The number of candy bar×The cost of one candy bar = $ 12

Or, x × $ 2.25 + (6-x) × $ 1.50 = $ 12

Or,  x × $ 2.25 + 9 -  x × $ 1.50 = $ 12

or,  x × $ 0.75 = 12 - 9

or, x =  = 4

The number of chips bag he can buy = x = 4

And The number of candy bar he can buy = 6 - x = 6 - 4 = 2

Hence Stephon can buy total 4 chips bag and 2 candy bar .  

Answer:

256x8y8256+2x8y8+56x3y7+28x7y2+126x5y4+x8+1048x7y+1932x6y2+2240x5y3+2310x4y4+2296x3y5+1932x2y6+1048xy7+y8+8x6y+56xy3+28x2y+8xy

Step-by-step explanation:

Answer:

(5b-6)^2

Step-by-step explanation:

by using formula

(a-b)^2 = (a)^2 - 2(a)(b) + (b)^2

by putting values in the above formula

(5b)^2 - 2(5b)(6) + (6)

(5b-6)^2 answer

Answer:

(5b - 6)(5b - 6)

Step-by-step explanation;

25b^2 - 60b + 36

=> (5b)^2 - 2 × 5b × 6 + (6)^2           [Using (a + b)^2 = a^2 + b^2 + 2ab]

=> (5b - 6)^2

=> (5b - 6)(5b - 6)

Answer:

79

Step-by-step explanation:

The difference between 79 and 22 is 57. 79 is THE number. All you have to do is add 22 and 57 because the answer you get would ALWAYS have one of the numbers added as the difference.

Answer:

I don't understand what you are asking, please ask the question with more info

Step-by-step explanation:

Answer:

x=90+45/6

x=135/6

x=22.5

The length of the shadow of the 6-foot tall man is 3 feets

Actual Length :

Length of shadow :

Using the relation :

Therefore, the shadow of the man is 3 feets long.

Learn more : https://brainly.com/question/18112348

Answer:

Hey there!

2a-b

2(9)-4

18-4

14

Let me know if this helps :)

Answer: 14

Step-by-step explanation: It’s a good idea to get into the habit of

using parentheses when substituting numbers in for variables.

Since a = 9 and b = 4, 2a - b is 2(9) - (4).

Now think about your order of operations.

Multiplication comes before subtraction so first multiply 2(9) to get 18.

So we have (18) - (4) which is 14.

2 tripled is 6

2 x 3 = 6

Hope this helps!  : )

Answer:

1x3=3

2x3=6

3x3=9

4x3=12

5x3=15

6x3=18

7x3=21

8x3=24

Answer:

2d(b-c)+b=a

Step-by-step explanation:

First you start off with the equation given

2d=(a-b)/(b-c)

Second, you want to start getting A by its self so that means you have to multiply both sides by (b-c) to get (a-b) by its self. (underlined portion cancles out)

2d(b-c)=((a-b)/(b-c)) (b-c) ----> 2d(b-c)=a-b

Finally, you want to add b to both sides to get a completely by it's self. (underlined portion cancles out)

2d(b-c)+b=a-b+b -----> 2d(b-c)+b=a

Answer:

The answer is

Step-by-step explanation:

To solve the equation we must first find h-¹(x)

To find h-¹(x) equate h(x) to y

That's

Next interchange the terms

x becomes y and y becomes x

That's

Make y the subject

Take logarithm to base 2 to both sides

That's

But

So we have

Now we can solve the equation

We have

Convert the logarithm into exponential form using the fact that

So we have

But

So we have the final answer as

Hope this helps you

Answer:

cc

Step-by-step explanation:

c

Answer: The biggest named number that we know is googolplex, ten to the googol power, or (10)^(10^100). That's written as a one followed by googol zeroes.

Explanation:  The largest known prime number (as of August 2020) is 282,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.

Hope this helps^^

Answer:

8

Step-by-step explanation:

Answer:

x≥ -11/9

Step-by-step explanation:

HOPE THIS HELPS!!!!! :)

<3333333333

Answer:

x=3

Step-by-step explanation:

2(3)+3=9

6+3=9

9=9

Answer: [tex]x=3[/tex]

Subtract 3 from both sides

[tex]2x+3-3=9-3\\2x=6[/tex]

Divide both sides by 2

[tex]2x/2=6/2\\x=3[/tex]

Answer:

C = 18h

Step-by-step explanation:

y = mx + b

C (total cost) is equivalent to "Y"

18 is equivalent to "m"

h is equivalent to "x"

and there is no "b" in this situation.

I hope this helps!

-TheBusinessMan

eight million four hundred nine thousand one hundred twenty

Answer:

eight million, four hundred nine thousand, one hundred twenty

Step-by-step explanation:

Answer:

A) 34.94444 square yards

B) $698.89

Step-by-step explanation:

17x18.5=314.5 square feet

314.5÷9=34.94444 square yards

a) 34.94444 square yards

34.94444x20=698.8888

b) $698.89

Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

call x the mother deer, y the baby deer, we have x = 2y

x + y = 4,5 ---> x = 3, y = 3/2

Answer:

2.25

Step-by-step explanation:

4.5 / 2

Answer:

The correct option is;

D) Neither the domain restriction nor the expression for f⁻¹(x) is correct

Step-by-step explanation:

The given function can be written as follows;

f(x) = x² - 331

The inverse of the function f(x), which is f⁻¹(x), can be found as follows;

Let f(x) = x² - 331 = y, we have;

f(x) + 331 = x²

x = √(f(x) + 331)

We replace x with f⁻¹(x) and f(x) with x, to get;

f⁻¹(x) = √(x + 331)

We note that the domain of the inverse function will include values from x ≥ -331, and the correct inverse function √(x + 331) ≠ √x - 331

Therefore, we have that neither the domain restriction nor the expression for f⁻¹(x) is correct.

Answer:

B) The domain restriction is correct, but the expression for f–1(x) is not.

The ANSWER IS NOT C as "oeerivona" stated

Step-by-step explanation:

The answer is B on Edge.   (VERIFIED Edge Answer)

Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.  

Edge Tip: Answers do not mix or change.

Answer:

y = (2/5)x + 2

Step-by-step explanation:

To find the inverse of a function, we simply exchange the variables x and y and solve for y.

For this function we will write it as such:

y = -5 + (5/2)x

So to find the inverse, we will swap the x and y and solve.

y = -5 + (5/2)x

x = -5 + (5/2)y

x + 5 = (5/2)y

(2/5) * (x + 5) = y

(2/5)x + (2/5)5 = y

(2/5)x + 2 = y

Thus the inverse of the function is:

y = (2/5)x + 2

Cheers.

Answer:

n=3   n=5

Step-by-step explanation:

|4n−15|=|n|

Positive

4n−15=n

Subtract 4n from each side

-15 = -3n

Divide by -3

-15/-3 = n

5 = n

negative

4n -15 = -n

Subtract 4n from each side

-15 = -5n

Divide by -5

-15/-5 = n

3 = n

Answer:

n=3 and n=5

Step-by-step explanation:

|4n−15|=|n|

we know either

4n-15=-n        or 4n=15=n

4n+n=15              4n-n=15

5n=15                     3n=15

n=15/5=3                 n=15/3=5