4. If 90 is 30% of a number, what is 200% of the number?

Answers

Answer 1

Answer:

60

Step-by-step explanation:

90=30%x

x=30

200%x=2x=60

Answer 2

Answer:

600

Step-by-step explanation:

30%=0.3

0.3x=90

x=90/0.3=300

200%=2

2(300)=600


Related Questions

Alexandra has 127 flowers. She puts
the same number of flowers in each
of her vases. How many flowers will
be left over?

Answers

How many vases are there?

The number of flowers in each vase is 31 and the number of flowers left over is 3.

Given that, Alexandra has 127 flowers and 4 vases.

What is the division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here,

The same number of flowers in each of her vases =Total number of flower/Number of vases

= 127/4

Now, 4|127|31

            124
         _______
               3

Number of flowers left over =3

Therefore, the number of flowers in each vase is 31 and the number of flowers left over is 3.

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"Your question is incomplete, probably the complete question/missing part is:"

Alexandra has 127 flowers and 4 vases. She puts the same number of flowers in each of her vases. How many flowers will be left over?

Let x y be a real number. If x * y = x (x-y) then What is the value of 2 * (7 * 1)?​

Answers

The value of [tex]2 \times(7 \times 1)[/tex] is -80

Solution:

Given that x y is a real number

Also given that [tex]x \times y = x(x - y)[/tex]

We are asked to find the value of [tex]2 \times (7 \times 1)[/tex]

To solve it we have to first solve terms in brackets.

[tex]\begin{array}{l}{\text {So, } 7 \times 1=7(7-1) \quad[\text {from given rule }]} \\\\ {\rightarrow 7 \times 1=7 \times 6} \\\\ {\rightarrow 7 \times 1=42} \\\\ {\text {Now, the required expression is modified as } 2 \times 42} \\\\ {\text {Then, } 2 \times 42=2(2-42)=2(-40)=-80} \\\\ {\text {Hence, the value of } 2 \times(7 \times 1)=-80}\end{array}[/tex]

PLEASE ANSWER ASAP!!! SHOW ALL THE STEPS.
Solve the system of equations using elimination. Make sure to show all work and find the value of both x and y

1.

x - 3y = 7

3x + 3y = 9

2.

8x+ 3y = 1

4x + 2y = 0

Answers

Answer:

For the first question [tex]x = 4\\ y = -1[/tex] and

For the second question [tex]x = 0.5\\ y = -1[/tex]

Step-by-step explanation:

Given:

1.

x - 3y = 7

3x + 3y = 9

2.

8x+ 3y = 1

4x + 2y = 0

Elimination method :

In the elimination method we need to make the coefficient of x or the coefficient of y same in both the equation so by adding or subtracting we can eliminate the x term or the y term.

Then substitute that values which you will get on eliminating in any equation you will get the corresponding value.

For the first question, the y coefficient is same hence by adding both the equation we can eliminate 3y term. so on solving we get

[tex](x - 3y) + (3x + 3y) = 7 + 9\\4x = 16\\x = \frac{16}{4}\\x = 4[/tex]

Now substitute X equal to 4 in equation x -3y = 7 we get

[tex]4 - 3y = 7\\-3y = 7 - 4\\-3y = 3\\y = \frac{3}{-3}\\ y = -1\\[/tex]

This way we have x is equal to 4 and y is equal to -1  for question number 1.

For the second question, we will make X coefficient same in the second equation that is multiplying by 2 to the equation 4x + 2y = 0 then we get

[tex]8x + 4y = 0\\[/tex]

Now the coefficient of x term become same now we will subtract the two equations that is 8x + 3y = 1 and 8x + 4y =0 we get

[tex](8x + 3y) - (8x + 4y) = 1 - 0\\3y - 4y = 1\\ -y = 1\\y = -1[/tex]

Now substitute y equal to -1 in equation 8x +3y = 1 we get

[tex]8x + 3\times -1 = 1\\8x - 3 = 1\\8x = 1 + 3\\8x = 4\\x = \frac{4}{8}\\ x = 0.5\\[/tex]

This way we have x is equal to 0.5 and y is equal to -1  for question number 2.

please help wit all questions! leave work below! if you do this , it will give you 40 points!!

Answers

Answer:

13. ft per minute is 150. ft per hour is 9,000.

work:

300÷ 2 = 150150 times 60 min.

14. x ÷ y = feet per minute.

it is this because the time divided by the depth will equal the time that it took.

15. it would be more reasonable to use feet by minute, because of the accuracy of the answers. with measuring it using feet per hour, your answers will be less precise.

16. the distance will double because the proportional relationship says that the distance is 3 km away if thunder is 9 secs apart from lightning.

will answer next question later

Please answer for brainiest

Which of the following is the probability against drawing a 7 from a standard deck of 52 cards on the first try?


97%


89%


92%


77%

Answers

Answer:

92%

Step-by-step explanation:

there are 4 cards of "7"

52-4=48

48÷52×100=92.307...%

The answer is C. 92%..........

Ryaan goes skydiving and falls at a constant rate toward the ground. The equation y = -32x + 14,000 represents the situation where y is the height of Ryaan in feet above the ground and x is the seconds since she jumped. Which statement describes the situation?


a)From a starting position of 32 feet above the ground, she is descending at 14,000 feet per second.

b)From a starting position of 14,000 feet above the ground, she is ascending at 32 feet per second.

c)From a starting position of 14,000 feet above the ground, she is descending at 32 feet per second.

d)From a starting position of 32 feet above the ground, she is ascending at 14,000 feet per second.

Answers

Answer:

c

Step-by-step explanation:

For a scientific Experiment, A physicist must make sure that the temperature of a metal at 0°C gets to no colder than -80°C. the physicist changes the metals temperature at a steady rate of -4°C per hour. Let t represent the temperature in degrees Celsius. Write an inequality. use the fact that the rate of change in temperature times the number of hours equals the final temperature.

Answers

Answer:

- 4 h ≥ - 80

Step-by-step explanation:

The temperature of the metal is 0°C and the gets to no colder than - 80°C.

If the temperature is decreasing at the rate of - 4°C per hour, then the temperature after h hours will be t = 0 + (- 4) h which will not be less than - 80°C.

So the inequality that models the situation is 0 + (- 4) h ≥ - 80

⇒ - 4 h ≥ - 80 (Answer)

Final answer:

The inequality to ensure that the temperature of the metal does not fall below -80°C as it drops steadily at -4°C/hour is 0 - 4h ">= -80. This represents the highest number of hours (h) the physicist can allow before the temperature reaches the limit.

Explanation:

The student has asked to write an inequality based on a physicist's experiment where a metal's temperature decreases at a steady rate of -4°C per hour and should not get colder than -80°C. Starting at 0°C, the relationship between time (in hours) and temperature can be represented mathematically.

To express this as an inequality, we can set up a relationship where the temperature (t) after a certain number of hours (h) is no less than -80°C. Since the temperature is decreasing at -4°C per hour, we can write the inequality as:

t ≥ -80

Where t = 0 + (-4 × h), and h represents the number of hours passed.

Substituting the expression for t into the inequality:

0 - 4h ≥ -80

This inequality tells us that regardless of how many hours go by at this rate, the temperature of the metal should remain higher than -80°C.

Jenna bought 5 reams of paper at the store for a total of $21 . The tax on her purchase was $1 . Write a equation and solve to find the price of each ream of paper

Answers

Answer:

The equation needed is [tex]\textrm{Cost of 1 ream of paper}  =  \frac{20}{5} [/tex]

The cost per ream of paper  = $4

Step-by-step explanation:

Here, the cost of 5 reams of paper  = $ 21

The tax on her purchase  = $1

So, the actual cost of 5 reams of paper  = Total Cost paid  - Tax amount

= $ 21 -  $ 1  = $20

So, the actual cost of 5 reams of the paper is $20.

Now, to find out the cost of 1 ream of paper:

[tex]\textrm{Cost of 1 ream of paper}  = \frac{\textrm{Total amount paid for 5 reams}}{\textrm{ 5}}  \\= \frac{20}{5}  = 4[/tex]

=  $4

Hence, the cost of each ream of paper  = $ 4.

Joe measured 1/2 cup of water. Mary measured 3/4 cup, and Ron measured 3/8 cup. How can the least amount of water be completed to the greatest amount

Answers

Answer:

3/8, 1/2, 3/4.

Step-by-step explanation:

Now I believe this is asking to set the fractions from least to greatest, but ignore this if im wrong. If so, the answer would be 3/8, 1/2, 3/4. 3/8 is less than 4/8, which is the halfway point for the 8ths, 1/2 is half of a whole, and 3/4 is more than 2/4, the half for 4ths.

Question 5
Find the sum of the following geometric series.
8+1.6+0.32+0.064 + ...

Answers

good morning,

Answer:

10×(1-0.2ⁿ)

Step-by-step explanation:

1.6/8=0.2

0.32/1.6=0.2

0.064/0.32=0.2

let S represent the sum of n term then S=8×[(1-0.2ⁿ)/(1-0.2)] = 10×(1-0.2ⁿ).

:)

Final answer:

To find the sum of a geometric series, use the formula for the partial sum by identifying the first term and common ratio.

Explanation:

A geometric series is represented by the formula a + ax + ax² + ax³ + ... with a as the first term and x as the common ratio. The sum of the first N terms of a geometric series can be found using the formula of the partial sum.

In the given series 8+1.6+0.32+0.064+..., the first term a = 8 and the common ratio x = 0.2. To find the sum, you can use the formula for the sum of a geometric series: S = a / (1 - x).

Substitute a = 8, x = 0.2 into the sum formula: S = 8 / (1 - 0.2) = 8 / 0.8 = 10. Therefore, the sum of the given geometric series is 10.

An construction company poured a cylindrical shaped concrete column 15 feet long with a radius of 3 feet. How much concrete did it take to make the column, in terms of π?

Answers

Answer:

[tex]135\pi\ ft^3[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder (concrete column) is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=3\ ft\\h=15\ ft[/tex]

substitute

[tex]V=\pi (3)^{2}(15)[/tex]

[tex]V=135\pi\ ft^3[/tex]

please help :) thanks :)

Answers

Answer:

1. 5417.412

2. 401.13

Step-by-step explanation:

1. First, rewrite

[tex]5\times 10^3+4\times 10^2+1\times 10^1+7\times 10^0+4\times \dfrac{1}{10^1}+1\times \dfrac{1}{10^2}+2\times \dfrac{1}{10^3}[/tex]

as

[tex]5\times 1000+4\times 100+1\times 10+7\times 1+4\times 0.1+1\times 0.01+2\times 0.001[/tex]

So, this is

[tex]5000+400+10+7+0.4+0.01+0.002\\ \\=5417.412[/tex]

2. First, rewrite

[tex]4\times 10^2+1\times 1 \dfrac{1}{10^1}+3\times \dfrac{1}{10^2}[/tex]

as

[tex]4\times 10^2+1\times 1 +1\times \dfrac{1}{10^1}+3\times \dfrac{1}{10^2}[/tex]

This is

[tex]4\times 100+1\times 1+1\times 0.1+3\times 0.01[/tex]

So, this is

[tex]400+1+0.1+0.03\\ \\=401.13[/tex]

The width of a rectangle is 5 units less than the length. The area of the rectangle is 6 units. What is the width, in units, of the rectangle?

Answers

Answer:

The width of rectangle is 1 unit.

Step-by-step explanation:

Given:

The area of rectangle is 6 units and its width is 5 units less than the length.

So, to find the width of rectangle.

Let the length be [tex]x[/tex] and the width be [tex]x-5[/tex].

Now, to find the width we put the formula of area of rectangle:

Area = length × width

[tex]6= x\times (x-5)[/tex]

[tex]6=x^{2}-5x[/tex]

[tex]0=x^{2}-5x-6[/tex]

[tex]0=x^{2}-6x+x-6[/tex]

[tex]0=x(x-6)+1(x-6)[/tex]

[tex]0=(x-6)(x+1)[/tex]

On solving equation we get:

[tex]x-6=0, x+1=0[/tex]

Therefore, we take the value x=6 as it is positive value:

[tex]x-6=0[/tex]

[tex]x=6[/tex]

So, the width of rectangle:

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

          = [tex]6-5[/tex]

          = [tex]1[/tex]

Therefore, the width of rectangle is 1 unit.

on a farm there are 3 sheep for every 1 horse. if y = the number of sheep, and X = the number of horses, which graph models the relationship?​

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ----> the number of horses

y ---> the number of sheep

In this problem the relationship between the variables, x, and y, represent a proportional variation.

Remember that, if the linear equation represent a proportional variation then it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

we have

For x=1, y=3

Find the value of the constant of proportionality k

[tex]k=\frac{3}{1}=3\ \frac{sheeps}{horse}[/tex]

substitute

[tex]y=3x[/tex]

using a graph tool

The graph in the attached figure

For the last five months, Vivian borrowed ($35 from her brother to pay for her gym
membership. Vivian just received a raise and wants to repay the money she borrowed from
her brother. Vivian can only afford to repay $25 each month to her brother. How many
months will it take Vivian to repay her brother the money she borrowed?​

Answers

Answer:7 months

Step-by-step explanation:

$35 x 5 months = $175

175 / 25 = 7

Answer:

7 months

Step-by-step explanation:

You answered 21 out of 25 questions correctly on a test. Did you reach your goal of at least
80%

Answers

Answer:

Yes.

Step-by-step explanation:

21/25=84/100=84%

Answer:

Yes

Step-by-step explanation:

If you got all off it that means you have 100 and to make it more simpler you are removing 4 points for every question that you failed so if you got 21 questions right then you have 84%

If y varies directly as x, and y is 400 when x is r and y is r when x is 4 what is the numeric constant of vanation in this relation

Answers

Answer:

y = 10*x

Step-by-step explanation:

y = kr --> 400

r = 4k

400 = k (4k) = 4k^2

k^2 = 400/4 = 100

k = sqrt(100) = 10  

k = 10

If I graduated highschool in 2017 what year was I in 5th grade

Answers

Answer:

the year 2010

Step-by-step explanation:

since the end of high school is 12th grade, you have to numbers. 12, and 5.

subtract 5 from 12 and you get seven. subtract seven from 2017, and you get 2010

Final answer:

You were in 5th grade in the year 2010.

Explanation:

To determine what year you were in 5th grade, you can subtract 7 from the year you graduated high school. In this case, if you graduated in 2017, you subtract 7to get 2010. Therefore, you were in 5th grade in the year 2010.

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Nathaniel is saving money to buy a new graphics card for his computer that
costs $260.
If he is saving $18 a month and already has $134, in how many
more months will he have enough money for the graphics card?

Answers

Answer:

7 months

Step-by-step explanation:

260=134+18m

126=18m

7=m

Answer: 7 months.

$18 × 7 months = $126

$134 + $126 = $260

Betech Inc. has $50,000 in its bank account and $3,000 worth of goods in its warehouse. What is this amount ($53,000) known as in accounting
terms?
A slow variable
B. flow variable
C. stock variable
D. flock variable

Answers

Answer:

(C) Stock Variable

Step-by-step explanation:

With the $50,000 in the bank, it is assumed the value is earnings from stock. $3,000 worth of goods in the warehouse also make up the stocks hence the $50000 plus $3000 to make up $53,000 stock variable

5(1+4r)- 8(4-r) simplify​

Answers

Answer: =28r−27

Step-by-step explanation:

Answer:

= 25r - 32-r

Step-by-step explanation:

5(1+4r)-8(4-r)

= 5 x 5r - 32-r

= 25r - 32-r

If r was 2, (example),

= 25 x 2 - 32 - 2

= 50 - 30

= 20

Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?A.{12, 4, -6}B.{-4, 4, 14}C.{2, 4, 9}D.{-12, -4, 6}

Answers

Answer:

{12, 4, -6}

Step-by-step explanation:

The relation is given by the equation as 12x + 6y = 24 ........... (1)

Now, the domain of this function is {-4, 0, 5}

We have to find the range of this function corresponding to the given domain.

Now, for x = - 4,  

12(-4) + 6y = 24 {From equation (1)}

⇒ 6y = 72

y = 12

Now, for x = 0,  

12(0) + 6y = 24 {From equation (1)}

⇒ 6y = 24

y = 4  

Now, for x = 5,  

12(5) + 6y = 24 {From equation (1)}

⇒ 6y = -36

y = -6

Hence, the range for the relation is {12, 4, -6} (Answer)

Which of the following is an example of an expression?


7x - 8y + 11z = 22


11z = 22


7x = 22


7x - 8y + 11z

Answers

Answer:

7x-8y+11z

Step-by-step explanation:

Because this is the only one that doesn't have an equal sign. Therefore, this is an example of an expression, not a equation. All of the other answer choices have an equal sign, they're equations.

declan ran 509 meters in 5 minutes . calculate the unit rate

Answers

Answer:

101.8 meters in 1 minute

Step-by-step explanation:

509/5=101.8

If there was 10 pine trees & 2 ash trees how many more pine trees were there? Answer is 8 but need to know how to show the work??

Answers

Answer:

The number of pine tress more than the number of ash trees is 8 .

Step-by-step explanation:

Given as

The number of pine trees = 10

The number of ash trees = 2

Let The number of pine tree more than that of ash tress = x

So, The number of ash trees + x = 10

Or, 2 + x = 10

I.e x = 10 - 2

∴  x = 8

So, The pine trees is 8 more than the ash trees

Hence The number of pine tress more than the number of ash trees is 8 . Answer

Is 2 yd greater than 200 cm

Answers

No, 200 centimeters is greater than 2 yards

Answer:

no

Step-by-step explanation:

1 foot is 30.48 cm

So 1 yard is 3(30.48 cm) = 91.44 cm (less than 100 cm = 1 meter)

So 2 yards is about 183 cm, less than 200 cm

What is the value - 3/2 ( 24 - 5 1/4 ) ?

A) - 44
B) - 41 1/3
C) - 28
D) 30 2/3

Answers

Answer:

-225/8

Step-by-step explanation:

-3/2(24-5 1/4)

5 1/4=21/4

-3/2(24-21/4)

-3/2(96/4-21/4)

-3/2(75/4)

-225/8

svetlanas hair is 4 centimeters long her hair grows 1.5 centimeters per month. Svetlana wants her hair to be less than 16 centimeters long.​

Answers

Answer:

I guess the question is when her hair will be almost 16cm long.

So she needs to grow hair almost 12 cm of hair. Because 16-4=12

To grow 12cm hair she needs 8 months (12/1.5=8)

So Svetlana needs to cut her hair before 8th month.

Need help with this problem.

Answers

Answer:

18

Step-by-step explanation:

To find this we must divide 45 by 20 which gives the answer of 2.25. As we know this we now must multiply that by 8 resulting in to 18.

Therefore the answer is 18

Convert 118.6% to an improper fraction in lowest terms

Answers

Answer: 593/500

Step-by-step explanation: To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100.

So here, 118.6% can be written as the ratio 118.6 to 100 or 118.6/100.

To write 118.6/100 in lowest terms, we first will need to multiply the numerator and the denominator by 10 to remove the decimal point. When we do this, we get the equivalent fraction 1186/1000.

Now, we can divide the numerator and the denominator by the greatest common factor of 1186 and 100 which is 2 and we get the equivalent fraction 593/500.

Therefore, 118.6% can be written as the improper fraction 593/500.

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Dominance within this allelic series is c+> cch > ch. In a cross between c+/ch and cch/ch, what proportion of progeny will be chinchilla? Which of the following is NOT associated with sedimentary rocks? Group of answer choices cementation fragmented parts of preexisting rocks extrusion of magma stratification skeletal remains of coral A powder diet is tested on 49 people and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher average weight loss than the powder diet. The powder diet group had an average weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had an average weight loss of 44 pounds with a standard deviation of 14 pounds. Conduct a hypothesis test at the 5% level. State the distribution to use for the test. 1.(01.01 MC)In the word demain choose the same sound as ain: (1 point)unetau2.(01.01 MC)In the word champignon choose the same sound as am: (1 point)onerouen3.(01.04 MC)Choose the correct answer to the following question:Comment allez-vous? (1 point)a va bien. Et vous?Bonjour monsieur.Au revoira va bien. Et toi?4.(01.05 MC)Identify the object you would find in a backpack: (1 point)un tableauun livreune chaiseune table5.(01.06 MC)Answer the following question:Llve est do? (1 point)Elle sappelle Marie.Elle est de Nancy.Je suis dans la salle de classe.Il sappelle Raymond.6.(01.03 LC)Which of the following is a word borrowed from the French language and used in the English language? (1 point)la placela pizzala crpela vanille7.(01.03 LC)Which of the following is a word borrowed from the English language and used in the French language? (1 point)la banquele cafle week-endlhpital8.(01.03 LC)Which of the following is a word borrowed from the English language and used in the French language? (1 point)pizzasouphot dogcarrot9.(01.03 MC)Look at the picture and identify the cognate word in French:Picture of a table (1 point)la tablele tableaula tapela tablette10.(01.03 HC)Read the sentence and choose the word that is a cognate.Je suis un concert de rock. Cest trs bien. (1 point)rockbienconcertsuis11.(01.03 HC)Read the sentence and choose the word that is a cognate or a borrowed word:Le professeur est dans la salle avec llve. (1 point)salledansprofesseurlve12.(01.05 MC)Someone texted you a teachers phone number to call for help. What are the single digits?trois-zro-sept-huit-six-quatre-deux-cinq (1 point)0-3-6-7-1-6-2-53-0-8-7-0-1-5-23-0-7-8-6-4-2-50-2-7-4-9-0-3-413.(01.05 MC)Bonjour, je mappelle Cline Martin. Je suis dOrlans. Je suis lve lcole du Marais. Dans ma classe il y a des bureaux, des stylos, des crayons et des chaises.Answer the question: Quest-ce que il y a dans la salle de classe? (1 point)books and desksdoors and pencilsboard and chairspencils and chairs14.(01.06 HC)Complete the following dialogue:Bonjour Madame.Bonjour Grgoire.__________________________Je suis de Paris et vous?Je suis de Tours. (1 point)Do es-tu?Qui est-ce?Comment tappelles-tu?Comment a va?15.(01.06 HC)Complete the following dialogue:Salut AnneSalut. Qui est-ce?Cest un ami, Denis__________________________Il est de Qubec. (1 point)Quest-ce que cest?Comment sappelle-til?Qui est-ce?Il est do ?16.(01.06 LC)What language would you hear if you visited a Haitian family in the United States? (1 point)VietnameseEnglishSpanishFrench17.(01.07 MC)From the four choices, choose the business that would require a bi-lingual person on a daily basis. (1 point)PharmacySales associateInternational Law officeOffice manager18.(01.07 C)What would be the result of a census about where French is spoken in North America?Choose the places with the most French speakers. (1 point)Canada and LouisianaCanada and FloridaNew York and CaliforniaLouisiana and New England19.(01.07 C)Carol is a telemarketer for a global company. She was chosen for this position because she is fluent in French and can carry a conversation in French.For which other careers is being proficient in a second language an asset? (1 point)TranslatorBus driverHair stylistPharmacist20.(01.07 C)Bruce is a flight attendant. He was hired for the international flights between the U.S.A. and France because he is fluent in French.For what other profession is being proficient in a second language an asset? (1 point)Animal groomerPhotographerMusicianMilitary21.(01.07 MC)Jacob works for the F.B.I. He was selected for this position because he speaks four languages.In which other profession could he have used his languages? (1 point)AnesthesiologistSecret ServicePsychologistSecurity guard22.(01.07 MC)On a daily basis you have the opportunity to read French on products used in the United States. Look at the list of products.Which is most likely to have French on it? (1 point)juicerecipe on boxeshair productingredient chart23.(01.07 MC)There are products you use on a daily basis which have several languages on them.On which of these products would you be most likely to find French: (1 point)chipswater bottlespaghetti sauceconditioner24.(01.07 HC)If you look at a menu and see the French words A La Carte, what type of choices do you have? (1 point)Choose your portions.Choose your dishes.Choose your price.Choose only one dish. Coworkers Mindy and Jerome agree that Mindy will drive them to work every weekday for one month, and then Jerome will drive them both to work every weekday the following month. This arrangement is a(n) executory,______agreement. Which of these is a supporting service - a service on which ecosystemsdepend?OA. Providing building materialsOB. Raising livestockOC. Recycling nutrientsOD. Providing national parks For a very rough pipe wall the friction factor is constant at high Reynolds numbers. For a length L1 the pressure drop over the length is p1. If the length of the pipe is then doubled, what is the relation of the new pressure drop p2 to the original pressure drop p1 at the original mass flow rate? The term cultural goals refers to the goals held out for people (i.e. get a degree, get married, have a nice job). The term institutionalized means refers to the legitimate or acceptable ways to reach these goals. When people find their legitimate means blocked, they feel frustrated. In the Strain Theory, this frustration is called __________.