Lucy cuts 4 squares with side length x in. from the corners of a 12 in. by 18 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V of the tray in terms of x.
please help, i am loosing a braincell each day

Divide the total price by the total number of books from each printer to find the price per book:

Printer A: $350 / 100 books = $3.50 per book

Printer B: $150 / 40 books = $3.75

Printer A has the lowest price.

Final answer:

The question is a mathematics problem comparing the cost per book from two different printers. By calculating and comparing, we see that Printer A offers a lower price at $3.50 per book compared to Printer B's $3.75 per book.

Explanation:

The student is asking a math question related to finding the lower price between two options for purchasing books. To determine which printer offers the better deal, we need to calculate the cost per book for each printer.

Printer A: $350 per 100 books, which is $3.50 per book.

Printer B: $150 per 40 books, which equates to $3.75 per book.

By comparing the costs, we see that Printer A offers the lower price at $3.50 per book, while Printer B's price is higher at $3.75 per book. Therefore, Bennie Blinko should order from Printer A to get the best deal.

Answer:

600 people

Step-by-step explanation:

We can use ratios to solve this problem.

Change the 30 minutes in to hours

30 minutes = .5 hours

75 people               x people

---------------- = -----------------------

.5 hours                    4 hours

Using cross products

75*4 = .5 *x

300 = .5x

Divide each side by .5

300/.5 = .5x/.5

600 =x

Answer: You take the 2 middle columns in this case the purple gray looking one and the brown one and add them together divide them by 2

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

f(-4) This means that x is -4, so you can plug in -4 for "x" in the equation

f(x) = 5x + 5

f(-4) = 5(-4) + 5

f(-4) = -20 + 5

f(-4) = -15

Answer:

Option 4 which is 1,430.

Step-by-step explanation:

Step 1

In this this step we will break up the terms in the summation symbol using the rules for manipulation summations.

[tex]\sum_{i=1}^{n}(aX^2_i+k)=\sum_{i=1}^{n}(aX)+\sum_{i=1}^{n}k\\\\\sum_{i=1}^{n}(aX^2_i+k)=a\sum_{i=1}^{n}X^2+nk.[/tex]

This means that for our case, the sum can be simplified to be,

[tex]\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2+11\times(-8)\\\\\sum_{i=1}^{11}(3i^2_i-8)=3\sum_{i=1}^{11}i^2-88[/tex]

Step 2

In this step we use the formula for the sum of the first n squares to evaluate the first part of the sum in step 2. The formula for the sum of the first n squares is,

[tex]\sum_{i=1}^{n}n^2=\frac{n(n+1)(2n+1)}{6} \\\\\implies\sum_{i=1}^{11}i^2=\frac{11(11+1)(2\times 11+1)}{6} =506[/tex]

Step 3

In this step we use the result from step 1 to evaluate the sum.[tex]3\sum_{i=1}^{11}i^2-88=3(506)-88=1,430.[/tex]

The correct answer is Option 4,which is  1,430.

Answer:

[tex]\boxed{\boxed{\sum_{i=1}^{11}(3i^2-8)=1430}}[/tex]

Step-by-step explanation:

The given expression is,

[tex]\sum_{i=1}^{11}(3i^2-8)[/tex]

[tex]=\sum_{i=1}^{11}(3i^2)-\sum_{i=1}^{11}(8)[/tex]

[tex]=3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)[/tex]

we know that,

[tex]\sum_{i=1}^{n}i^2=\dfrac{n(n+1)(2n+1)}{6}[/tex] and

[tex]\sum_{i=1}^{n}c=cn,\text{ Where c is a constant}[/tex]

Hence,

[tex]3\sum_{i=1}^{11}(i^2)-\sum_{i=1}^{11}(8)=3\left(\dfrac{11(11+1)(2(11)+1)}{6}\right)-8(11)[/tex]

[tex]=3\left(\dfrac{11(12)(23)}{6}\right)-8(11)[/tex]

[tex]=3\left(506}\right)-8(11)[/tex]

[tex]=1518-88[/tex]

[tex]=1430[/tex]

[tex]\text{Let}\ k:y=m_1x+b_!\ \text{and}\ y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have}\ y=\dfrac{9}{11}-\dfrac{5}{4}x\to m_1=-\dfrac{5}{4}.\\\\m_2=-\dfrac{1}{-\frac{5}{4}}=-\left(\dfrac{4}{5}\right)=\dfrac{4}{5}\\\\Answer:\ \boxed{D.\ \dfrac{4}{5}}[/tex]

Answer:

-g * (2+5)

Step-by-step explanation:

The opposite of g times the quantity 2 plus 5

Opposite means put a negative sign

times means multiply

Quantity means parenthesis

plus means addition

-g * (2+5)

The problem 'The opposite of g times the quantity 2 plus 5' translates into the mathematical equation -g*(2+5) or -g*7 in which g is multiplied by 7, and the result is negated.

The word sentence 'The opposite of g times the quantity 2 plus 5' can be represented by the equation -g*(2+5) or -g*7, where * denotes multiplication, + denotes addition, and - denotes opposite or negation. Therefore, the interpretation of the sentence is 'multiply g by 7 and then take the opposite or negative of the result'. The use of parentheses ( ) in the equation ensures we first perform the addition within, according to the order of operations in math, most commonly known as BIDMAS/BODMAS or PEMDAS rules.

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Answer:

B) $90!

I hope this helped :D

Answer:

90 is the answer

Step-by-step explanation:

90+50=140

140-50=90

Answer:

Part A $150.00

Part B $140.00 because you would do 35 x 4 = 140.

Part C, He will have $17 left over. You would take 167 - 140 = 17

Question 5, The would have gathered $150 because you would take 30 x 5 = 150.

Answer:

14.39

Step-by-step explanation:

a^2 + b^2 = c^2

33^2 + b^2 = 36^2

1089 + b^2 = 1296

1089 - 1089 + b^2 = 1296 - 1089

b^2 = 207

b = 14.39

Answer:

The value of cos 0 = - 2 sqrt(85) /  85 = - 0.216930458

Step-by-step explanation:

cos 0 = ?

Point on the terminal side of 0 : (-2,9)=(x,y)→x=-2, y=9

cos 0 = x/r

r=sqrt(x^2+y^2)

Replacing the known values:

r=sqrt( (-2)^2+(9)^2)

r=sqrt(4+81)

r=sqrt(85)

cos 0 = x/r

cos 0 = -2 / sqrt(85) = -2/9.219544457 = -0.216930458

Rationalizing:

cos 0 = -[2 / sqrt(85)] [sqrt(85) / sqrt(85)]

cos 0 = - 2 sqrt(85) /  [sqrt(85)]^2

cos 0 = - 2 sqrt(85) /  85

Answer:

Your answer should be D.

Step-by-step explanation:

this is because the points being represented have a posotive slope that is up 3 over 1 so therefore you slope is 3

Answer:

D) y = 3x - 7

Explanation:

Just plug in the x values for x in the function, if you get the y number every time, then it is correct.

For example I did, (3 · 4) - 7 = 5 and (3 · 3) - 7 = 2 and so on, getting the y number every time. With the other functions, when you do this, you don't get the y number EVERY time.

I hope this helps!

Good luck on ur quiz!!

:)

Answer:

6 , 2 , 5 , 7 , 4 , 1 , 3

Step by Step:

1) x - 3(10 - 2x) = -2

x - 30 + 6x = -2

7x - 30 = -2

7x = 28

x = 4

2) x + 2(4 - 2x) = 5

x + 8 - 4x = 5

-3x + 8 = 5

-3x = -3

x = 1

3) 5(18 - 4y) + y = 33

90 - 20y + y = 33

90 - 19y = 33

-19y = -57

y = 3

x = 18 - 4(3)

x = 18 - 12

x = 6

4) 8x + 4(13 - 2x) = 52

8x + 52 - 8x = 52

52 = 52

5) x + 3(-11 + 6x) = 5

x - 33 + 18x = 5

19x - 33 = 5

19x = 38

x = 2

6) -6(5 - 2y) - 3y = -2

-30 + 12y - 3y = -2

-30 + 9y = -2

9y = 28

y = 3

2x + 3(3) = 5

2x + 9 = 5

2x = -4

x = -2

7) 2x + 3(10+x) = 45

2x + 30 + 3x = 45

5x + 30 = 45

5x = 15

x = 3

Answer:

The order for the systems is 2), 5),7), 1) and 3)

Step-by-step explanation:

To find the solution for ecah system first you have to choose a method, for example you can isolate one of the variables (x or y) in both equations and then equal each other.

1) 2x + y = 10 ⇒ y= 10 - 2x

  x - 3y = -2 ⇒ -3y = -2 - x ⇒ y = (-2 - x)/-3 ⇒ y = 2/3 + (1/3)x

Now you have to equal both equations

10 - 2x = 2/3 + (1/3)x ⇒ 10 - 2/3 = (1/3)x + 2x ⇒28/3 = (7/3)x

⇒ (28/3)/(7/3) = x ⇒ 4.

With the "x" value obtained we return to the original equations and replace it there to find "y".

2x + y = 10 ⇒ 2(4) + y = 10 ⇒ y= 10 - 8 ⇒ y =2

The solution to the system is (4,2).

If you do the same for all the systems you will find that the solutions are

2) x + 2y = 5

 2x + y = 4

Solution = (1, 2)

3) 5x + y = 33

   x = 18 − 4y

Solution = (6,3 )

4) y = 13 − 2x

  8x + 4y = 52

Solution = ∅, no solution

5) x + 3y = 5

  6x − y = 11

Solution = (2, 1)

6) 2x + y = 10

   -6x − 3y = -2

Solution = ∅, no solution.

7) y = 10 + x

  2x + 3y = 45

Solution = (3, 13)

Answer:

3+4p+8t

Step-by-step explanation:

We have been given an expression:

3+2(2p+4t)

We will simplify the equation:

Firstly, we will open the parenthesis by multiplying it with the 2 given outside of the parenthesis we get:

3+4p+8t

Since, we have two variables so it can not be further solved therefore,

This is the maximum simplification of the given expression.

Answer:

3 weeks x 110 minutes = 330 minutes

330 minutes a week x 14 weeks = 4620 minutes

4620 divided by 60 minutes = 77 hours

77 hours is your answer

Step-by-step explanation:

Team practices for 4620 minutes or 770 hours during the season.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Soccer team participates 3 times a week,

One practice lasts for 110 minutes,

And The team practice for total 14 weeks.

Total time practice in one week = 3 x 110 = 330 minutes

Since, total week are 14,

So total duration for practice = 14 x 330 = 4620 minutes

Total time duration in hours = 4620 / 60 hours = 770 hours.

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Answer:

$352.33

Step-by-step explanation:

100% Rep. $334.60

105% Rep. 334.60/100 * 105%

=$351.33

Divide 8.75 by 35 and multiply the result by 100 to get 25 hours.

Answer:

30 ÷ 3 = 10 ft each

hope it helps :)))

Step-by-step explanation:

29.8 you can estimate it to 30

so you would divide 30 ÷ 3 = 10

Answer: -8, -6, -4, -2

Step-by-step explanation:

This would be the ideal choice because an arithmetic sequence is something that progresses, and in this case, the correct answer choice increases by 2 each time.

Answer:

-8,-6,-4,-2 .... is Arithmetic series.

Step-by-step explanation:

Since common difference is 2 in the -8,-6,-4,-2....

or we can get next term on adding 2 in each term

so it is arithmetic series.

Step-by-step explanation:

What number(s)?

Answer:

x = (4z -y)/(3 – y); y ≠ 3

Step-by-step explanation:

3x – xy = 4z - 5y     Factor

  x(3-y) = 4z - y        Divide each side by 3-y

        x = (4z -y)/(3 – y); y ≠ 3

x is undefined when y = 3, so we must include the condition that y ≠ 3.

The number of minutes the water level would be less than or equal to 64 cups is t ≥ 158.33. option B, C, D

How many minutes would the water level be less than or equal to 64 cups?

The regression equation:

W = -0.414t + 129.549

Where,

t is the number of minutes and

W is the level of water.

When w ≤ 64

W ≤ -0.414t + 129.549

64 ≤ -0.414t + 129.549

Subtract 129.549 from both sides

64 - 129.549 ≤ -0.414t

-65.549 ≤ -0.414t

Divide both sides by -0.414

t ≥ -65.549 / -0.414

t ≥ 158.3309178743961

Approximately, t ≥ 158.33

Therefore, the water level would be less than or equal to 64 cups when t is greater than or equal to 158.33

Answer:

C

Step-by-step explanation:

the coefficient of a term is the numeric value including the sign in front of the variable/ s

the fourth term in the expression is - 20xy

The coefficient of this term is - 20 → C

Answer:

0

Step-by-step explanation:

full answer guide attached

I think it's "Adrienne did not enter her ATM withdrawal correctly"

Answer:

" Adrienne did not enter her ATM withdrawal correctly."

D.

Step-by-step explanation: <3