Sandy's older sister was given $2,400 and was told to keep the balance of the money after sharing with her siblings. Give Sandy exactly $350. Write Sandy's portion

Answers

Answer 1

Answer:

Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]

Step-by-step explanation:

Sandy's older sister was given $2,400

She was told to keep the balance of the money after sharing with her siblings.

She gave  Sandy exactly $350

The objective is to write Sandy's portion.

Sandy's portion will be the ratio of the amount given to Sandy divided by the total amount at her sister disposal.

Let Sandy's older sister be y,

So, y = 2400

Sandy's portion = [tex]\dfrac{350}{2400}[/tex]

Sandy's portion = [tex]\dfrac{35}{240}[/tex]

Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]


Related Questions

Anyone the answers? Please help

Answers

Answer:

1.) 3 shovels/7 buckets

2.)7 buckets/3shovels

Martha estimated there were 86 marbles in a jar for a contest. The actual number of marbles in the jar was 108. What was the percent error of Martha's estimation?

Answers

Answer:

Roughly 20.4%

Step-by-step explanation:

Use the formula of percent of error:

| Actual number - Guess / Actual number | (100)

The actual number is 108 and the guessed number is 86:

| 108 - 86 / 108 | (100)

= | 22/108 | (100)

= | 0.2037037037 | (100)

The vertical lines indicate absolute value.  This means that anything inside of it must be turned into its positive form.  Since it is already positive, just take the signs away:

0.2037037037(100)

≈ 0.204(100)

= 20.4

Turn this into a percent:

20.4%

Martha's percent of error is 20.4%

Please tell me if I was right or not.  I really hope this helps!

also being timed help!​

Answers

Answer: 4

Step-by-step explanation:

Given: AB tangent at D, AD = OD = 4 Find: Area of the shaded region

Answers

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

I beed help nowww hjbiuhkju uhbjknjhiuy

Answers

Answer:

answer hoga 3/2 ok.....

Answer: 3/2

Step-by-step explanation:

PLZ HELP I WILL MARK YOU AS BRAINLIEST
The ages of two groups of karate students are shown in the following dot plots: The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data? Group A has greater variability in the data. Group A has less variability in the data. Group B has a lower range. Group B has a lower mean.

Answers

Answer:

Group A has less variability in the data.

Step-by-step explanation:

Examining the data for both groups virtually as represented on the dot plot, we can easily tell that the data in group A are less spread compared to group B data.

Group A has a range value of 10 (14 - 4), while group B has a range value of 19 (26 - 7).

Therefore, "Group A has less variability in the data."

10.The sum of first 16 terms of the AP: 10, 6 ,2, ....is



− 320− 320

320320

640640

 − 352 − 352


Answers

Answer:

              - 320

Step-by-step explanation:

a₁ = 10

a₂ = 6

d = a₂  - a₁ = 6 - 10 = -4

n = 16

a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50

[tex]S_{n}=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{16}=\dfrac{10-50}{2}\cdot 16=-40\cdot8=-320[/tex]

Please help

Maths....

Answers

6 cm from what im seeing

Answer: 7 cm

Step-by-step explanation:

solve for x 3(x+2) + 4(x-5)=10

Answers

Answer:

x= 3.43

Step-by-step explanation:

First, use the distributive property and multiply 3 by x and 3 by 2:

3x + 6

next use the distributive property again and multiply 4 by x and -5:

4x - 20

Combine Like terms: 3x + 6 + 4x - 20

3x + 4x = 7x

6 - 20 = -14

Now Add 14 to both sides: 7x - 14 = 10

10 + 14 = 24

Now divide 7 by both sides: 7x = 24

24 / 7 = 3.428571429 = 3.43

Answer:

x=24/7 or 3 3/7

Step-by-step explanation:

3(x+2) + 4(x-5)=10   parenthesis first

3x+6+4x-20=10

7x-14=10               addition on both sides

7x-14+14=10+14

7x=24

x=24/7

check the answer:

3(x+2) + 4(x-5)=10

3(24/7+2)+4(24/7-5)=10

72/7+6+96/7-20=10

168/7-14=10

24-14=10

10=10 correct

Need help with mark brainlist.

Nam worked on a job for 10 days. On each of the last 2 days, he worked 2 hours more than the mean number of hours he worked per day during the first 8 days. If he worked 69 hours in all, how many hours did he work during the last 2 days together?

Answers

Answer: 17 hours

Step-by-step explanation:

Given that On each of the last 2 days, he worked 2 hours more than the mean number of hours he worked per day during the first 8 days. That is he worked additional 4 hours for the two days.

Let the total hours for the 8 days = E

The mean = E/8 = 0.125E

For the two last days, he worked

( 0.125E + 2 ) × 2 = 0.25E + 4

If he worked 69 hours in all, then

E + 0.25E + 4 = 69

Collect the like terms

1.25E = 69 - 4

1.25E = 65

E = 65/1.25

E = 52.

Now find the mean of the first 8 days

Mean = 52 / 8 = 6.5 hours

Nam works during the last 2 days together for:

(6.5 + 2)×2

8.5 × 2 = 17 hours

In this activity, you will help Darin compare the unit prices, in price per pound, of clementines and navel oranges. Clementines are sold in three-pound bags, and navel oranges are sold by the pound. The table represents the cost of three-pound bags of clementines. Number of Bags Cost 1 $5.00 2 $10.00 3 $15.00 The equation c = $1.49p represents the cost of the navel oranges, where c is the cost and p is the number of pounds. Darin needs to know the price per pound of clementines. What needs to change in the table so that the data on clementines is in units of pounds and cost?

Answers

Answer:

The table gives the cost for the number of three-pound bags of clementines. you need to change the number of bags to pounds to be able to get the data for the clementines in units of pounds and cost.

Step-by-step explanation:

each of the bags are three pounds each so 1 bag times 3, 2bags times 3, and then 3bags times 3, hope this answers your question.

The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that Clementines are sold in three-pound bags, and navel oranges are sold by the pound

The table represents the cost of three-pound bags of clementines.

Number of Bags           Cost

      1                             $5.00

     2                              $10.00

      3                             $15.00

The equation c = $1.49p represents the cost of the navel oranges, where c is the cost and p is the number of pounds.

The table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.

To learn more on Statistics click:

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GIVING BRAINLIEST TO THE FIRST PERSON TO ANSWER!

Three stores have the same tablet computer on sale. The regular price of the tablet is $150. Store A is offering the tablet on sale at 15% off the regular price. Store B is offering a $25 coupon to be deducted from the regular price. Store C is offering a rebate of $20.00 to purchasers. Store D has the tablet on sale for $120.00. Which store is offering the tablet at the lowest cost?

A. Store A

B. Store B

C. Store C

D. Store D

Show ALL work please! <3

Answers

Answer: Store D

Step-by-step explanation:

Store A - 15% off:

$150 times 15/100 = 22.5

$150 - $22.50 = $127.50 so the price at store A is $127.50

Store B - $25 coupon

$150 - $25 = $125 so the price at store B is $125

Store C - $20 rebate

$150 - $20 = $130 so the price at store B is $130

Store D - $120

$120 is the lowest so the answer is Store D

Answer:

[tex]\Large \boxed{\mathrm{Store \ D}}[/tex]

Step-by-step explanation:

Store A is offering the tablet on sale at 15% off the regular price.

150 × (1 - 15%) = 127.5

Store B is offering a $25 coupon to be deducted from the regular price.

150 - 25 = 125

Store C is offering a rebate of $20.00 to purchasers.

150 - 20 = 130

Store D has the tablet on sale for $120.00.

Store D is offering the tablet at the lowest cost.

Complete the recursive formula of the geometric sequence 7, -14, 28, -56, ....

Answers

Answer:

[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex]

Step-by-step explanation:

A geometric recursive formula has the form

[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex]

where r is the common ratio

Here r = - 14 ÷ 7 = - 2, thus

[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex] with a₁ = 7

A son is 8 years old. His father is 5 times as old. How old was the father when his son was born?

Answers

Answer:

he was 32

Step-by-step explanation:

8x5 is 40 because he was born 8 years ago you subtract 8 from 40 to get 32

The Father is 32. I know this because 8 x 5 is 40 so he is 40 years old rn. When he was born he was 32 because 40 - 8 is 32. HOPE THIS HELPS!

PLEASE help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

Answers

Answer:

 

Step-by-step explanation:

The shaded regions consist of a triangle and a semicircle

Area of shaded regions = Area of Triangle + Area of semicircle

Area of Triangle = (h x b) ÷ 2

Height, h = 10 cm

Base, b = 8 cm

Are of the triangle component = (10 x 8) ÷ 2

= 80 ÷ 2

= 40 cm^2

 Area of semicircle = πr^2 ÷ 2

Diameter, D = 8 cm

Radius, r = 8 cm ÷ 2 = 4 cm

Are of the semicircle component = [π(4^2) ÷ 2)

= 16π ÷ 2

= 16π cm^2

 Total area of shaded regions

= (40+16π) cm^2

= 8 (5 +2π) cm^2

Answer:

[tex]\boxed{\sf Area = 8\pi + 40\ cm^2}[/tex]

[tex]\boxed{\sf Perimeter = 4\pi + 22\ cm}[/tex]

Step-by-step explanation:

Area of the figure:

Firstly: Area of semicircle:

[tex]\sf \frac{\pi r^2}{2} \\Where\ r = 4 \ cm\\\frac{\pi (4)^2}{2} \\\frac{16 \pi}{2}\\8 \pi \ cm^2[/tex]

Then Area of Triangle

[tex]\sf 1/2 (Base)(Height)\\1/2(10)(4)\\10*2\\20\ cm^2[/tex]

Area of Figure = Area of Semicircle + 2(Area of triangle)

=> 8π + 2(20)

=> 8π + 40 cm²

Perimeter of Semicircle:

Firstly, we'll have to find the hypotenuse

[tex]\sf c^2 = a^2+b^2\\c^2 = 4^2+10^2\\c^2 = 16+100\\c^2 = 116\\c = 11\ cm[/tex]

Then, Perimeter of the semi-circle:

=> πr

Where r = 4 cm

=> 4π

Now, the perimeter of the whole figure:

=> 4π + 2(11)

=> 4π + 22 cm

the function f(x)=-(x5+)(x+1) is shown. what is the range of the function

Answers

Answer:

all real numbers less than or equals to 4

I need domain and range

Answers

Answer:

-3 and infinity

Step-by-step explanation:

Can Someone help ill rate brainliest!!

Answers

Answer:

2

Step-by-step explanation:

Let Ishan’s age equal an unknown quantity we’ll call “x”.

An age 4 times Ishan’s would be 4 times x, written “4x”.

An age 6 years older than Ishan’s would be written “x+6”.

Now, through the magic of algebra, we can write an equation: 4x = x+6 . This means that “four times Ishan’s age is equal to his age plus six.”

The magic continues: you can subtract an”x” from each side of the equation. You can subtract any quantity from either side, but subtracting”x” will leave 6 on the right and “3x” on the left: 3x = 6.

Divide both sides by the same quantity: 3.

This will give you x =2. This indicates Ishan’s age is 2.

Answer:

Ishaan is 2 years old.

Step-by-step explanation:

We can create a systems of equations for this, assuming b is Ben's age and i is Ishaan's age.

[tex]b = 4i[/tex]

[tex]b = i+6[/tex]

Let's solve via substitution.

[tex]4i = i+6[/tex]

Subtract i from both sides:

[tex]3i = 6[/tex]

Divide both sides by 3:

[tex]i = 2[/tex]

So Ishaan is 2 years old. Ben is:

[tex]4(2) = 8[/tex] years old.

Hope this helped!

30 times the square of a nonzero number is equal to eight times the number what is the number

Answers

Answer: 4/15

Step-by-step explanation:

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

Number sentence: [tex]30x^{2}[/tex] = [tex]8x[/tex]

You can start by applying algebra to the left side of the equation by dividing each side by x. This should be how it looks now: 30x = 8

Now divide each side by 30 to keep reducing it: [tex]x = \frac{8}{30}[/tex]

Now that we have [tex]\frac{8}{30}[/tex], we can reduce that by dividing the top and bottom by 2:

[tex]\frac{8}{30} = \frac{4}{15}[/tex].

Therefore, the number is [tex]\frac{4}{15}[/tex].

Emma changed £500 into rand before going on holiday to South Africa.
The rate of exchange at the time was £1 = 10.4 rand.
Emma spent 4000 rand on holiday. When she got home, she changed her leftover rand into pounds.
The exchange rate was now £1 = 9.8 rand. How much money did she get back in pounds?

Answers

Answer:

I'm sorry but I can give exact numbers but I would like to help work it out so...

Step-by-step explanation:

So overall she had £500 to start with

And £1 is equal to 10.4 rand

So you would divide 100 by 10.4 and get the potential difference between the average of money which she has then because she spent 400 rand in holiday you would divide 400 by the amount of the potential difference which was given then change that back to pounds

Hope this helps

If this seems incorrect please comment and I will change my answer thanks:)

Hi how do I solve this simultaneous equation

Answers

Answer:

M (-3, -5/2)

N (3, -1)

Step-by-step explanation:

Solve the first equation for x.

4y = x − 7

x = 4y + 7

Substitute into the second equation.

x² + xy = 4 + 2y²

(4y + 7)² + (4y + 7)y = 4 + 2y²

Simplify.

16y² + 56y + 49 + 4y² + 7y = 4 + 2y²

18y² + 63y + 45 = 0

2y² + 7y + 5 = 0

Factor.

(y + 1) (2y + 5) = 0

y = -1 or -5/2

Plug back into the first equation to find x.

x = 4(-1) + 7 = 3

x = 4(-5/2) + 7 = -3

M (-3, -5/2)

N (3, -1)

The lengths of two sides of an isosceles triangle are 5 and 9. The length of the third side could be

Answers

2 need to be equal so it would probably be 9

The length of the side can be both 5 and 9.

What is an Isosceles Triangle?

An Isosceles Triangle is a triangle that has two equal sides.

The length of the sides of an isosceles triangle is given as 5 and 9

To determine the third side, the property of Triangle Inequality will be used

According to the property, the sum of any pair of a triangle’s sides is always greater than the third side.

If the third side is 5 then

5+5 > 9

10 >9

true

if the third side is 9 then

5+9 > 9

14>9

Therefore, the length of the side can be both 5 and 9.

To know more about Isosceles Triangle

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Given that ΔABC is a right triangle with a right angle at C, if tan A = [tex]\frac{5}{4}[/tex], find the value for tan B.

A. tanB = [tex]\frac{3}{4}[/tex]
B. tanB = [tex]-\frac{4}{5}[/tex]
C. tanB = [tex]\frac{4}{5}[/tex]
D. tanB = [tex]-\frac{5}{4}[/tex]

Answers

Answer:

C

Step-by-step explanation:

tan A = [tex]\frac{5}{4}[/tex] = [tex]\frac{opposite}{adjacent}[/tex] , thus

The opposite side is the adjacent side for B and the adjacent side is the opposite side for B, thus

tan B = [tex]\frac{4}{5}[/tex]

-4-(3+6²)÷13-1²•(-12)=

Answers

Answer:

5

Step-by-step explanation:

-4-(3+6²)÷13-1²•(-12)=

PEMDAS

parrenthesis:

-4-81÷13-1² x (-12)

exponent:

-4-81÷12 x (-12)

multiplication:

-4-81÷ (-144)

divison:

- 4 - (- 9)

subtraction (Actaully addition +):

= 5

-(- makes plus so -4 + 9 makes 5

Hope this helps, have a good day!! :)

A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. A deer is 10 miles per hour faster than a bison.

Answers

3520/5280 = 2/3 of a mile per minute.

2/3 x 60 minutes per hour = 40 miles per hour.

40-30 = 10

Bison runs 40 miles per hour

The bison runs 10 miles an hour faster than the deer

Answer:

American bison is faster than the white-tailed deer by 10 more miles per hour.

Step-by-step explanation:

In 1 hour there are 60 minutes.

=> 3520 feet = 1 minute

=> 60 minutes = 3520 x 60

=> 211200 feet = 60 minutes

So, 211200 feet can be converted in miles.

=> 1 mile = 5280 feet

=> 211200 feet = x miles

=> x = 211200 / 5280

=> x = 40 miles per hour.

So, a white-tailed deer can run up to 30 miles per hour.

     an American bison can run up to 40 miles per hour.

American bison runs 10 more miles per hour than a white-tailed deer.

Solve 2(x - 5) = 48 - 4(x + 1)​

Answers

2(x - 5) = 48 - 4(x + 1)
2x - 10 = 48 - 4x - 4
6x = 54
x = 9

Answer:

x = 9

Step-by-step explanation:

first remove the brackets

2x - 5 = 48 - 4x + 1

then take numbers to the opposite sides

2x + 4x = 48 + 5 + 1

I have used addition because since your taking-5 to the other side it becomes+5 and -4 becomes +4

now solve

2x + 4x= 6x

48+5+1= 54

6x = 54

now solve for x

divide both sides by 6x

x = 9

what is the value of x ?

Answers

Answer:

35

Step-by-step explanation:

it's the same value each side

The answer is 35 degrees.

Rory records the percentage of battery life remaining on his phone throughout a day. The battery life decreases as Rory uses the phone, but will increase or stay at 100% while charging. The graph represents the percentage of battery life remaining after a certain number of hours.

A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours.

At which times could Rory's phone have been plugged into the charger? Select three options.

Answers

Answer:

9 hours

11 hours

19 hours

Step-by-step explanation:

The graph represents the percentage of battery life remaining after a certain number of hours is attached below.

At which times could Rory's phone have been plugged into the charger? Select three options.

6 hours

9 hours

11 hours

14 hours

19 hours

Answer: From the graph, the line segment with negative slope (that is decreasing value) shows that the phone is not plugged but being used while the line segment with positive slope (increasing value) or stays at 100% shows that the phone is plugged to the charger.

As shown, from 0 to 8 hours their is a decreasing value, the phone is not plugged. From 8 to 10 hours their is an increasing value therefore the phone is plugged also from 10 to 12 hours the phone is plugged since it is constant. From 12 to 16 hours it is not plugged. From 16 to 18 hours it is plugged and from 18 to 20 hours it is plugged.

From the options it is plugged at 9 hours, 11 hours and 19 hours

Answer:

B - 9 HOURS

C - 11 HOURS

E - 19 BHOURS

Step-by-step explanation:

i took the test

Clarissa and Shawna, working together, can paint the exterior of a house in 6 days. Clarissa by herself can complete this in 5 days less than Shawna. how long will it take Clarissa to complete the job by herself?

Answers

Answer:

Clarissa will take 10 hours by herself

Step-by-step explanation:

Let s = time for shawna

s-5 = time for clarissa

The formula for determining the time is

1/a + 1/b = 1/c  where a and b are the times alone and c is the time together

1/s + 1/(s-5) = 1/6

Multiply each side by 6s(s-5) to clear the fractions

6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)

Distribute

6(s-5) + 6s = s(s-5)

Distribute

6s -30 +6s = s^2 -5s

Combine like terms

12s -30 = s^2 -5s

Move everything to the right

0 = s^2 -5s -12s +30

0 = s^2 -17s +30

Factor

0 = ( s-15) (s-2)

Using the zero product property

s-15 =0   s-2 =0

s =15     s=2 ( This is not a reasonable answer since it is less than the time together)

s=15

s-5 = 10

Clarissa will take 10 hours by herself

Use the figure below to find the measure of angle x.​

Answers

Answer:

70 degrees

Step-by-step explanation: this is an equilateral triangle. All of its angles are the same.

Other Questions
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 3150. i. Sketch Musahs movement asap!!~~~~~~A line passes through point (6, 1) and is parallel to the equationy= 2x 5. What's the equation of the line?Question 25 options:y= 2x 13y=12{"version":"1.1","math":"\(\frac{1}{2}\)"}x+ 3y= 12{"version":"1.1","math":"\(\frac{1}{2}\)"}x 1y= 2x+ 5click on picture for a, b, c ,or d In a simple regression analysis with age as the only explanatory variable, the effects of other factors, such as faminc, are Multiply the following complex numbers: (7+2i)(2+3i)Please dont guess Which location is least likely to experience a volcanic eruption? . an island hot spot, such as the island of Hawaii B. Hamilton County on the plains of central Texas . a convergent boundary, as in the Ring of Fire D a volcanic island arc, such as the Aleutian Arc in Alaska In which countries did President Taft intervene using financial loans or military intervention?A.) China, Vietnam, CambodiaB.) Algeria, Tunisia, Morocco C.) Haiti, Nicaragua, Dominican RepublicD.) Venezuela, Bolivia, Brazil Suppose you invested in the Ishares High Yield Fund (HYG) a month ago. It paid a dividend of today and then you sold it for . What was your dividend yield and capital gains yield on the investment? 49 points...... no incomplete answers.Any help? Need a paragraph as an answer about 7 sentences?? A parallelogram has a base of 9 centimeters and a height of 21 centimeters. What is the area of the parallelogram? Please include all work!! The fact that the speed of a vehicle is lower than the prescribed limits shall relieve the driver from the duty to decrease speed when approaching and crossing an intersection. True or false The scientist has chosen to study the motion of clouds in the atmosphere during a thunderstorm which type of model is most appropriate for her investigation Does the following sentence use coordination, subordination, both, or neither?The cartoon strip also shows Calvin's acrimonious relationship with Suzie Derkins, the little girl who lives next door.O A. coordinationO B. bothO C. subordinationOD. neither Determine the equation of the exponantial function with a common ratio of 2, a horizontal asymptote at y=4 and passin through the point (2,10). Solve logs (8 - 3x) = log20 for x.A. X = 14B. X = -13C.x = -8D. X= -4 What is one key difference between the film and the short story?What problem was solved by making the change? Most dangerous game In Triangle A B C, what is the value of x? Triangle A B C. Angle A is (10 x minus 10) degrees, angle B is (8 x) degrees, angle C is (10 x + 8) degrees. Which of the following statements is true?Photosynthesis is a type of homeostasis.Unicellular organisms have differentiated cells.Respiration is a type of metabolism.Multicellular organisms are made of only one cell. HELP ASAP 20 POINTS AND BRAINLIST!!!!!!!!!! How would you categorize the following claim in an essay with the following thesis? Thesis: Due to the excessive number of missed school days due to weather issues, some New England communities are considering a policy to decrease summer vacations by two weeks to gain more time in the classroom. Claim: After the long New England winter, students' minds begin to wander to the beach, and they lose focus on academics the minute they see the first signs of summer. Counter claim Supported claim Textual evidence Thesis statement According to the Surgeon General, adults should get at least 2.5 hours of moderate-intensity exercise per week to garner substantial health benefits. a. True b. False The classical dichotomy is the separation of real and nominal variables. The following questions test your understanding of this distinction. Eleanor spends all of her money on paperback novels and mandarins. In 2012, she earned $27.00 per hour, the price of a paperback novel was $9.00, and the price of a mandarin was $3.00. Which of the following give the nominal value of a variable? Check all that apply. The price of a mandarin is 0.33 paperback novels in 2012. Eleanor's wage is 3 paperback novels per hour in 2012. The price of a mandarin is $3.00 in 2012. Which of the following give the real value of a variable? Check all that apply. The price of a paperback novel is $9.00 in 2012. Eleanor's wage is $27.00 per hour in 2012. The price of a paperback novel is 3 mandarins in 2012. Suppose that the Fed sharply increases the money supply between 2012 and 2017. In 2017, Eleanor's wage has risen to $54.00 per hour. The price of a paperback novel is $18.00 and the price of a mandarin is $6.00. In 2017, the relative price of a paperback novel is . Between 2012 and 2017, the nominal value of Eleanor's wage , and the real value of her wage . Monetary neutrality is the proposition that a change in the money supply nominal variables and real variables.