Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a function for the volume V of the tray in terms of x

Answers

Answer 1

Answer:

you can use the same type of power to make it easier


Related Questions

A beauty supply company has 5 gallons of 20% hydrogen peroxide solution on hand. The
company also has a nearly limitless amount of a solution that contains 30% hydrogen
peroxide. How many gallons of the 30% hydrogen peroxide solution should the company add
to the 20% hydrogen peroxide solution to obtain a mixture that is 23% hydrogen peroxide?
Write your answer as a whole number or as a decimal rounded to the nearest tenth.

Answers

Answer:

2.1 gallons

Step-by-step explanation:

Let V = volume of 20 % hydrogen peroxide = 5 gallons, V₁ = volume of 30 % hydrogen peroxide and V₃ = volume of 23 % hydrogen peroxide. So the final volume is V + V₁ = V₂

V₁ + 5 = V₂  (1)

Also, since quantity = concentration × volume,

Let Q = quantity of 20% volume hydrogen peroxide = 0.2V, Q₁ =  quantity of 20% volume hydrogen peroxide = 0.3V₁ and Q₂ = quantity of 23% volume hydrogen peroxide = 0.23V₂

So, 0.2V + 0.3V₁ = 0.23V₂

0.2 × 5 + 0.3V₁ = 0.23V₂

1 + 0.3V₁ = 0.23V₂

0.3V₁ - 0.23V₂ = -1  (2)

substituting equation (1) into (2), we have

0.3V₁ - 0.23(V₁ + 5) = -1

expanding the brackets, we have

0.3V₁ - 0.23V₁ + -0.23 × 5 = -1

0.07V₁ - 1.15 = -1

adding 1.15 to both sides, we have

0.07V₁ = -1 + 1.15

0.07V₁ = 0.15

dividing both sides by 0.07, we have

V₁ = 0.15/0.07

= 2.143 gallons

≅ 2.1 gallons to the nearest tenth

So, we need 2.1 gallons of 30 % hydrogen peroxide to obtain a mixture that is 23 % hydrogen peroxide.

Eight teams of high school students helped clean up trash in the community.
Afterwards, they shared 55 pizzas equally.
How many pizzas did each team get?

Answers

6.875


55 divided by 8 is 6.875

. Rachel used 4.5 cups of apple juice in a holiday fruit punch that serves 12 people. Art used 4.75 cups of apple juice in a holiday fruit punch that serves 10 people. How much more apple juice is in one serving of Art's holiday punch? *

Answers

Answer: the 10 people served .1 more cups per serving than the 12 people

Step-by-step explanation:

4.5/12=.375

4.75/10=.475

The difference between .375 and .475 is .1

Create a table

please help me with this one more.a bag contains 120 marbles some are red and the rest are black there are 19 red marbles for every black marble how many red marbles are in the bag ​

Answers

Answer:

pls like if not my mom will die

Step-by-step explanation:

Which of the following describes a correct method for solving the equation: -7/2n + 5= -16 A. Add 5 to both sides, then devide both sides by 2/7. B. Subtract 5 from both sides, then add 7/2 to both sides. C. Add -5 to both sides, then multiply both sides by -2/7. D. Subtract 5 from both sides , then multiply both sides by 7

Answers

Answer:

If the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.

Thus, the correct option is 'C'.

Step-by-step explanation:

Given the equation

[tex]-\frac{7}{2}n+5=-16[/tex]

Let me solve this using the correct method

[tex]-\frac{7}{2}n+5=-16[/tex]

Add -5 to both sides

[tex]-\frac{7}{2}n+5+\left(-5\right)=-16+\left(-5\right)[/tex]

simplify

[tex]-\frac{7}{2}n=-21[/tex]

Multiply both sides by -2/7

[tex]-\frac{7}{2}n\times -\frac{2}{7}=-21\times -\frac{2}{7}[/tex]

simplify

[tex]n=6[/tex]

Therefore, if the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.

Thus, the correct option is 'C'.

A box contains 1 3/4 Pasta how many ounces of pasta are in the box

Answers

Answer:

Step-by-step explanation:

is there more information to the question??

Ahmed works in a factory his normal rate of pay is £12.00 per hour
When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend

Answers

Answer:

Ahmed earned £198.00 on that weekend.

Step-by-step explanation:

Given that:

Normal hourly pay = £12.00

Overtime pay = [tex]1\frac{1}{4}[/tex] of normal rate

Overtime pay per hour = [tex]\frac{5}{4}*12[/tex]

Overtime pay per hour = £15.00

Hours worked on Saturday = 9 hours

Amount earned on Saturday = 9*12 = £108.00

Hours worked on Sunday = 6 hours

Amount earned on Sunday = 6*15 = £90.00

Total amount earned on weekend = 108+90 = £198.00

Hence,

Ahmed earned £198.00 on that weekend.

Keisha's selling pumpkin pie for 9.99. She always gives every customer a 5% of coupon. How much does the pumpkin pie cost now? PLZ HELP I WILL AWARD BRAINLIEST

Answers

Answer:

4.99

Hope I helped

Answer:

$9.49

Step-by-step explanation:

9.99*0.05=0.4995

9.99-0.4995=9.4905

Need answer asap pls..........

Answers

Answer:

Try B

Step-by-step explanation:

Jo got 16 out of 20 on her test. What is Jo's grade? Did she pass? Explain how you got your answer.​

Answers

Answer:

16/20 is 80

Step-by-step explanation:

What is the number that JO would pass at. I think Jo has passed and I got my answer because when u do 16 divided by 20 you get 0.8 and that is 80

4 cups are needed for 12 people how many cups are needed for 4 people

Answers

Answer:

3

Step-by-step explanation:

12/4=3

Answer:

4/3 cups or 1 1/3 cups

Step-by-step explanation:

4 cups                x cups

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

12 people           4 people

Using cross products

4 * 4 = 12x

16 = 12x

Divide each side by 12

16/12 = x

4/3 = x

1 1/3 cups

Bill conducts a study during which he compares two, independent groups and he gets a significance value of .16 (i.e., p=.16). He looks at the means of the groups and sees the Group 1 Mean is 70 and the Group 2 mean is 77. He concludes they are different. (a) Why is Bill wrong? (b) What exactly does his p-value mean, in this instance?

Answers

Answer:

P-value is a parameter to compare with the significance level in order to make decisions about rejecting or not the hypothesis

Step-by-step explanation:

When you are developing a hypothesis test, in order to compare two means  (  μ₁   and  μ₂ )  you have two hypothesis

Null Hypothesis                       H₀            μ₁   =      μ₂

And depending on the problem statement, the alternative  hypothesis could be

Alternative Hypothesis           Hₐ     (1)         μ₁    >     μ₂  

                                                            (2)        μ₁     <    μ₂

                                                             (3)       μ₁     ≠      μ₂

Now if the result of the test determines that H₀ is rejected  you accept in case

(1)   μ₁    >     μ₂

(2)  μ₁    >     μ₂  

(3)  μ₁     ≠      μ₂

In any case, you need a confidence Interval, and as consequence you established a significance level to do your test. These two concept defines the acceptance and the rejection region. Just for instance

CI  =  90% means that the acceptance region is 90 %, and at the same time, the rejection area is 10 %. That 10 % will be used as follows,

Case 1 you are developing a one tail-test to the left ( side of the curve )

Case 2 you are developing  a one tail-test to the right

Case 3 you are developing a two-tail test ( in that case you need to split α into two equal areas one for each tail.

Now P-value is a tool for decision is an area that you can compare with α to accept or reject H₀.

In our particular case suppose we are testing

H₀     μ₁   =      μ₂

Hₐ      μ₁     <    μ₂

Let´s say CI = 95    then  α = 5 %     α = 0,05

And we get  P-value  =  0,16

Then area   0,16 > 0,05   Then we are in the acceptance region

(that condition really implies that z(s) < z(c)  

The Pythagorean triple (5, 12, 13) can't be generated from the identity (x? 1)2 + (2x)2 = (x2 + 1)
which has only one variable, because the length of the hypotenuse (13 units) and the length of the longer
of the other two legs (12 units) are not 2 units apart.
Find a two-variable identity by incorporating a second variable, y, into the single-variable identity. Note
that x > 1, x > y, and x and y are positive integers.
Select the correct answer.
5

Answers

9514 1404 393

Answer:

  A.  (x² -y²)² +(2xy)² = (x² +y²)²

Step-by-step explanation:

As is often the case with problems like this, the correct answer (A) is the only answer that is actually a true equation.

Choices B, C, D are only true if x or y is zero--a violation of the given condition that they are positive integers.

Please help I don’t understand this.

Answers

The average rate of change of g(x) over the interval [2, 8] is given by

(g (8) - g (2)) / (8 - 2)

In other words, it's the slope of the line through the points (2, g (2)) and (8, g (8)).

Use the definition of the function to evaluate it at the points in the numerator:

• 8 ≥ 4, so using the second piece, g (8) = -0.5(8) + 8 = 4

• 2 < 4, so g (2) = 5(2) + 1 = 11

Then the average rate of change is

(g (8) - g (2)) / (8 - 2) = (4 - 11) / 6 = -7/6

a hotel provides free parking for guests and charges 225 per night passion y equals total cost to stay at the hotel Annex equals number of night

help pls important!!!!!!!!!​

Answers

Answer:

y = 225(x)

Step-by-step explanation:

Given:

Cost per night = 225

Total cost = y

Number of nights = x

Computation:

Total cost = (Cost per night)(Number of nights)

So,

y = 225(x)

i dont understand this question can someone help me?

Answers

Answer:

Step-by-step explanation

turn the 4/11 into a decimal(0.3636) then see were it on the line then you can see wich is less

Find the volume of a pyramid with a square base, where the side length of the base is
14.7 in and the height of the pyramid is 17.2 in. Round your answer to the nearest
tenth of a cubic inch.

Answers

Answer:

1238.9

Step-by-step explanation:

The volume of pyramid with square a square base is 1239 [tex]inch^{3}[/tex]

What is pyramid with square base?

A three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid

We have

Side length of base(L) = 14.7 inch

Height of pyramid(H) = 17.2 inch

Given ,Base is a square then

length=width(w)=14.7 inch

We know the formula of volume of pyramid = 1/3(L×W×H)

                                                                         = 1/3 (14.7 × 14.7 × 17.2)

                                                                         = 1/3 × 3716.748

                                                                         = 1238.916

                                                                        = 1239 [tex]inch^{3}[/tex]

Hence, The volume of pyramid is 1239 [tex]inch^{3}[/tex]

To learn more pyramid from here

https://brainly.in/question/19357246

#SPJ2

Which ordered pair is a solution of this equation? -6x + y = 35 Click on the correct answer. (-1,-7 (-6,-1) (-1,-6) (-7,-1)​

Answers

Answer:

The ordered pair (-6, -1) is the only solution.

Step-by-step explanation:

-6x + y = 35

Let's plug in the points.

(-1, -7) --> -6(-1) - 7 = 6 - 7 = -1 which does not equal 35

(-6, -1) --> -6(-6) -1 = 35

(-1, -6) --> -6(-1) - 6 = 0 which does not equal 35

(-7, -1) --> -6(-7) - 1 = 41 which does not equal 35

Answer this please and get points

Answers

Answer:

She has 5 nickles

Step-by-step explanation:

if she has 3 quarters, that amounts to 75 cents. The question states that the amount of nickles is the (the number of quarters) + 2, with this thought in mind, she would have 5 nickles, each worth 5 cents each, equaling out to 25 cents. the original 75 cents of the quarters and now the 25 cents from the nickels equals 100 cents (A dollar)

Answer:

60 because she had 50 nickels and 2 extra making 60 nickels

A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?

Answers

Answer:

The probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%

Step-by-step explanation:

Number of red marbles = 4

Number of blue marbles = 8

Number of Green marbles = 2

Total number of marbles = 4+8+2 =14

We need to find the probability, to the nearest 10th of a percent, that both marbles drawn will be red?

The formula used will be: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\[/tex]

In our case, Number of favourable outcomes = 4 (as red marbles are drawn)

Number of possible outcome = 14 (Total number of marbles)

The probability will be:

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Number\:of\;possible\:outcomes}\\\\Probability=\frac{4}{14}\\ Probability=0.2857\\[/tex]

Now, calculating nearest 10th of a percent

[tex]Probability = 0.2857*100\\Probability=28.5%[/tex]

So, the probability, to the nearest 10th of a percent, that both marbles drawn will be red is 28.5%

What is the square root of 3

Answers

Answer:

1.73205080757

Step-by-step explanation:

Th4t's the answer

The happy apple farm has 560 apple trees. Each apple tree has 169 apples. How many apples are on all the trees together?

Answers

Answer:94,

Step-by-step explanation:

There are 94,640 apples on all the trees together. Because since each apple tree has 169 apples, and there are 560 apple trees, 560 times 169 = 94,640. I hope this helps! :)

In a study of distances traveled by buses before the first major engine failure, a sample of 191 buses results in a mean of 96,700 miles and a population standard deviation 37,500 miles. Calculate the appropriate test statistic to test the claim that the mean distance traveled before a major engine failure is more than 90,000 miles.

Answers

Answer:

The test statistics is  [tex]z = 2.47[/tex]

Step-by-step explanation:

From the question we are told that

    The  sample size is  n =  191 \  buses

     The sample mean is  [tex]\= x = 96 700 \ miles[/tex]

    The population standard deviation is  [tex]\sigma = 37 500 \ miles[/tex]

   

The null hypothesis is  [tex]H_o : \mu = 90 000[/tex]

The alternative hypothesis is  [tex]H_a : \mu > 90 000[/tex]

Generally the test statistics is mathematically represented as

         [tex]z = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

=>      [tex]z = \frac{96700 - 90 000 }{ \frac{37500}{\sqrt{191} } }[/tex]

=>      [tex]z = 2.47[/tex]

The length of the base of an isosceles triangle is x. The length of a leg is 3x
- 7. The perimeter of the triangle is 63. Find x. *
20
22
11
12

Answers

Answer:

Option C: 11 is the correct answer.

Step-by-step explanation:

Given that:

Length of base of isosceles triangle = b =  x

The length of leg of triangle = a = 3x-7

Perimeter of triangle = 63

Perimeter of an isosceles triangle is given by

Perimeter = 2a + b

Putting values in the formula

63 = 2(3x-7) + x

63 = 6x-14+x

63 = 7x-14

63+14=7x-14+14

77=7x

7x=77

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{77}{7}\\x=11[/tex]

The value of x is 11.

Hence,

Option C: 11 is the correct answer.

Please help! I’ll give brainlest. Idk the answer bruh it’s for a grade :/

Which scenario could be represented by this graph?

A. After realizing that the house is cold Harry turns up the thermostat the temperature of the house gradually increases at constant rate the x-axis represents time the y-axis represents temperature

B. After realizing the house is too warm Harry turns on the air conditioner the temperature of the house gradually decreases at constant rate the x-axis represents time the y-axis represents temperature

C. The house temperature rises until it reaches the thermostat temperature and then it remains constant the x-axis represents time the y-axis represents the temperature

D. Harry runs the window air conditioner until the temperature falls to a comfortable level the x-axis represents time the y-axis represents temperature

Answers

Answer:

A

Step-by-step explanation:

Process of elimination.

It can't be B or D cause those say that the temp go down while in your graph it goes up, and C is saying that it rises and becomes constant while in your graph it's the other way around.

Answer:

A.

Step-by-step explanation:

I said so

Please someone help and explain, I don't understand what it means

Answers

Answer:

B

Step-by-step explanation:

you keep adding 2 to your previous answer

In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?

5 + 3p ≥ 30
5 + 3p ≤ 30
5p + 3 ≥ 30
5p + 3 ≤ 30

Answers

The answer is the third one

Answer:

A) 5+3p ≥ 30

Step-by-step explanation:

The 5+3p has to be greater than 30 to move on to the next round. The student scored 5 points in the first round and since the other 3 rounds he scored the same amount of points, your equation would be 5+3p ≥ 30 :)

If you were to solve this, you would subtract 5 from both sides to find that 3p≥ 25. Divide 25 by 3 to find out that Steward needed to score at least 9 points in each of rounds 2,3, and 4, so a possible solution could be that he earned 5 points in round 1, 9 in round 2, 9 in round 3, and 9 in round 4 for a total of 32, which is enough to qualify for the final round :)

Which expression below does NOT equal 54?
O A. 3 x 3 x 6
O B. 2 X 3 X9
C. 2 X 3 X 3 X 3
O D. 2 x 2 x 2 x 6

Answers

The answer is D
A=54
B=54
C=54
D=48
Merry Christmas

Help I need the answer

Answers

3/4




hope this helped :)
3/4 according to my calculations lol

A soccer field is 120 yards long and 60 yards wide. How long is the diagonal of the field?

Answers

Answer180 yards long

180

Step-by-step explanation:

Other Questions
A red laser pointer emits light at a wavelength of 488 nm. If the laser emits 7.5 104 J of energy per second in the form of visible radiation, how many photons per second are emitted from the laser?a)4.1 1019 photons/secb)5.4 1016 photons/secc)8.9 1014 photons/secd)1.8 1015 photons/sece)2.5 1018 photons/sec why social problems prevalent in Nepali society mostly affect women than men 1) Find the sum 4.5 + 5.9 find the midpoint of the segment with endpoints with coordinates at (-2,3) and (6,3) What did Lisa learn when Starr was not breathing? WILL MARK AS BRAINLIESTWhich is a trait of a technical text? (A )Describes problems and solutions about experimental procedures (B )Provides information and instruction on how to perform a task or procedure (C )Uses mainly chronological order or cause and effect text structure (D )Written as events in a timeline to show when they occurred over time Salut, Christophe. Comment vas-_______?voustu Which of these is the MOST appropriate title for this map?A. Germany in 1918B. Germany in 1933C. Germany in 1946 Accounts receivable arising from sales to customers amounted to $84,000 and $74,000 at the beginning and end of the year, respectively. Income reported on the income statement for the year was $320,000. Exclusive of the effect of other adjustments, the cash flows from operating activities to be reported on the statement of cash flows is Alice's mother wants to wallpaper two adjacent walls in Alice's bedroom. She also wants to put a border along the top of all four walls. The bedroom is 9 ft by 12 ft by 8 ft high. A) If each double roll covers approximately 60 fr and the wallpaper is sold in double rolls only, how many double rolls are needed? B) If the border is sold in rolls of 5 yd each, how many rolls of the border are needed? Macy prefers classes with professors who are visually appealing and entertaining, rather than classes with professors who are knowledgeable and effective communicators. Macy is probably _______ in the need for cognition. Q : Complete the dialogues with the phrases in the box. Some phrases can be used more than once and some phrases are useless they don't come in any blank . 1. A: What did u have in lunch ? B: A ________ bread and a bowl of soup." 2: A: Did you like my new phone? B: Yes, it's an amazing ________ technology . 3. A: How many bags do you have ? B: I've got two __________ luggage. Word box : bar of , bowl of ,cup of ,game of piece of , slice of . please tell me the answer who gave the correct will get reward of brainiest. Hi there, I am looking for information about how to use Up,Off,Out,Down,and away and phrase verbs please like Call up or even Cleaning up like those verbs please help to explain how can i use and where I need to use please. Reread Sonnet 116 by William Shakespeare.Which of the following statements is a correct analysis of its form? A Ideas in the octave and sestet conflict.B Its rhyme scheme is ABAB ABAB CDCD EE.C Each quatrain describes a new aspect of true love.D Each quatrain asks and answers a question about love. 3(2y-3)-6=-12 i am in algebra 1. How can you find the diameter and radius if you know the circumference. The Nice'n'Easy is selling gas for $2.14 per gallon of gas. How much will Sam have to pay for 14.5 gallons? SOMEONE PLEASE HELP ME FAST PLEASE!!! help me with this question please The teacher is handing out note cards to her students. She gave 121 note cards to the first student, 144 note cards to the second student, 169 note cards to the third student, and 196 note cards to the fourth student. What kind of sequence is this?