Susan was supposed to use 5/4 of a cup of butter

in her recipe, but she only used 3/4 of a cup of butter.


a. What fraction of the butter that she should

have used did Susan actually use? Make a

math drawing to help you solve this problem

and explain your solution.


b. Describe the different unit amounts that occur

in part (a). Discuss how one amount can be de-

scribed with two different fractions depending

on what the unit amount is taken to be.

Answers

Answer 1

Answer:

[tex]a.\ \dfrac{3}{5}[/tex]

Step-by-step explanation:

We can see the fractions [tex]\frac{5}{4}[/tex] and [tex]\frac{3}{4}[/tex] of cups.

It can be seen that denominator has 4 i.e. the fraction [tex]\frac{1}{4}[/tex].

Let us suppose, a unit is equal to [tex]\frac{1}4[/tex] of a cup.

Susan was supposed to use [tex]\frac{5}{4}[/tex] of a cup.

i.e. 5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

[tex]\text{Fraction of butter used} = \dfrac{\text{Units of butter used}}{\text{Unit of butter Susan was supposed to use}}[/tex]

a. [tex]\text{Fraction of butter used} = \dfrac{3}{5}[/tex]

Alternatively, we could have directly divided the given fractions:

[tex]\dfrac{\dfrac{3}{4}}{\dfrac{5}{4}} = \dfrac{3}{5}[/tex]

Answer 2
Part A:

The fraction of the butter that she should have used did Susan actually use is :

Fractions =5/4 and 3/4 of cups.

Denominator = 4 i.e. the fraction 1/4

Let us suppose,

A unit is equal to 1/4 of a cup.

Susan was supposed to use 5/4 of a cup.

5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

Fraction of butter used=unit of butter used/unit of butter                        

                                                                 that was supposed to      

                                                                         be use

                                        =3/4/5/4

                                        =3/5

The fraction of the butter that she should have been used is 3/5.

Find out more information about "Fractions":

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Related Questions


What is the least common denominator of 2/3, 1/6 and 11/12

Answers

Answer:

2/3 = 8/12

1/6 = 2/12

11/12 = 11/12

What is the domain of the function in this table?

X | Y
1 | 2
2 | 4
3 | 3
4 | 2

CHIOCES:
A. (1, 2), (2, 4), (3, 3), 4,2)
B. {1,2,3,4}
C. (1,2)
D. {2,3,4}


PLEASE HELP URGENT

Answers

Answer: B. {1, 2, 3, 4}

Step-by-step explanation:

The domain is the set of input values (in other words, x values)

Differentiate. y = (x2 - 2x + 6) et O (2x - 2) ex (x2 + 4x + 4) ex O (x2 + 4) ex + 4x + 6​

Answers

Answer:

y' = (x² + 4)eˣ

Step-by-step explanation:

Power rule: y' = f'(x)g(x) + f(x)g'(x)

[tex]\frac{d}{dx} [e^x]=e^x[/tex]

Step 1: Write equation

y = (x² - 2x + 6)eˣ

Step 2: Differentiate

Power rule: y' = eˣ(2x - 2) + eˣ(x² - 2x + 6)Factor out eˣ: y' = eˣ[2x - 2 + x² - 2x + 6]Combine like terms: y' = eˣ(x² + 4)Rewrite: y' = (x² + 4)eˣ

Which table has a constant of proportionality between y and x of 0.3

Answers

when you multiply the x number in the table c by 0.3 you get the same answer as the one in the y column. The constant of proportionality  is the value that stays constant in the ratio. Since when you multiply each number in the x column by 0.3 and you always get the number in the y column it shows that the table c is correct.

There is triangle one of the angles is 101 degrees and the other is 38 workout x

Answers

Angle sum property = Sum of the three angles of a triangle will be equal to 180° .

Using this let us find out the measure of x .

Measure of first angle = 101°

Measure of second angle = 38°

Measure of third angle = x

[tex]101 + 38 + x = 180[/tex]

[tex]139 + x = 180[/tex]

[tex]x = 180 - 139[/tex]

[tex] = x = 41[/tex]

[tex]∴ \: the \: value \: of \: x \: = 41°[/tex]

If x an y are natural numbers then x-y is a natural number what is the converse of this statement

Answers

9514 1404 393

Answer:

  If x-y is a natural number, then x and y are natural numbers.

Step-by-step explanation:

The converse of ...

  If P, then Q.

is ...

  If Q, then P.

__

Here, we have ...

  P = "x and y are natural numbers"

  Q = "x-y is a natural number"

So, the converse is ...

  If x-y is a natural number, then x and y are natural numbers.

_____

In this case, the converse is false.

More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two

Answers

Answer:

21

Step-by-step explanation:

What is 471,284 rounded to the nearest
thousands

Answers

Answer:

471,000

Step-by-step explanation:

Look at this as a fraction and break it down.
Simplify as much as possible:
-70
-28

Answers

Answer:

espera y termino y te ayudo vale que me falta poco vale

The answers is 2 wholes and 1 half.

Andrew drew a square with each side measuring 3 inches. Lindsay drew a triangle with each side measuring 4 inches. Which shape has a greater​ perimeter? Write an equation to help explain your answer.

Answers

Answer:

they have the same perimeter.

Step-by-step explanation:

3in × 4 = 12in

4 in × 3 = 12in

In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For? example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is? 3, the odds of winning are 2:3(Note; if the odds of winning are 2/3, the propability of sucess is2/5)

The odds of event occuring are 1:6. Find (a) the propability that the event will occur,(b) propability that the event will not occur.

(a)The propability that event will occur is....(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED.)

(b)The propability thet the event will not occur is...(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED)

Answers

Answer:

A) The probability that the event will occur[tex]=\frac{1}{7}[/tex]

B)The probability that the event will not occur = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

We are given that The odds of event occurring are 1:6.

So, Number of successful events = 1

Number of unsuccessful events = 6

So, Total events = 6+1=7

a)the probability that the event will occur=[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]

The probability that the event will occur[tex]=\frac{1}{7}[/tex]

b)The probability that the event will not occur =[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]

The probability that the event will not occur = [tex]\frac{6}{7}[/tex]

I need help plz with this question

Answers

I’m not sure if this is right cuz I googled it lol but google is telling me

1/4 & 2/9 are perfect squares and the rest aren’t

An element with mass 640 grams decays by 7.3% per minute. How much of the element is remaining after 8 minutes to the nearest 10th of a gram?

Answers

9514 1404 393

Answer:

  349.0 grams

Step-by-step explanation:

The amount remaining can be modeled by an exponential function of the form ...

  remaining = (initial amount)(1 - decay rate)^t

  q(t) = 640(1 -0.073)^t

  q(8) = 640(0.927^8) ≈ 349.0 . . . grams

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Answers

Answer:

Is there supposed to be an image?

Step-by-step explanation:

(6-x3)5=45 Please help

Answers

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Explain the phrase conservation of energy and provide an example.

Answers

Answer:

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Step-by-step explanation:

Given 36 − 9, simplify the expression using the Difference of Squares.

Wait, wait. I know what you are saying. 36 − 9 is not exactly a difficult math problem, it is 27. Yes you are correct; however, 36 − 9 is going to serve as a proof that the Difference of Squares is valid regardless of what x and y are.

36 − 9

62 − 32

This looks exactly like the Difference of Squares, x2 − y2. So substitute 6 and 3 in for x and y.

Answers

Answer:

See below

Step-by-step explanation:

Using formula

x^2 - y^2 = (x + y)(x - y)

Applying to given expression

36 - 9 = 6^2 - 3^2=(6 + 3)(6 - 3)=9*3=27

Which unit of measurement would be the most appropriate to measure a bottle of nail polish

Answers

Answer:

milliliter

Step-by-step explanation:

Most of nail polish have their measurement in ml

Need help ASAP with my math

Answers

U need a calculator for that lol

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eli worked on a part time job in summer for 6 days. he worked 4 hours on each of the 6 days. he was paid a total of 300 for his work. how much did he get paid for each hour he worked? writer your number as a mixed number in the simplest form.

Answers

Answer:

$12.50 per hour

Step-by-step explanation:

5) The price of a gallon of gas was $4.00. The price went up by 10% and then went down by 10%. Antonio thinks that since the price both rises and falls by 10%, the price of a gallon of gas is back to $4.00. His teacher tells him that he is incorrect. Explain why Antonio's reasoning is incorrect. (1 point) Determine the price of a gallon of gas after the 10% rise and 10% fall. (1 point) Total of 2 points. *

Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

this may be wrong but i think its p

Step-by-step explanation:

The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
$10 per ticket to the planetarium. The second day they paid $90 for transportation plus $7 per ticket to
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n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by

Answers

Answer:

(50+10n)+(90+7n)

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Answer:

2.16•x is up ur function

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Step-by-step explanation:

when u multiply by ten u move the decimal to the right one place

Answer:

this is what u need .........

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Answers

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16 is the gcf of 32 and 48

On Monday, your bank account balance was −$12.90. Because you didn't realize this, you wrote a check for $30.39 for groceries.

Answers

Answer:

$17.49

Step-by-step explanation: You need to subtract $30.39 by $12.90

$30.39

-$12.90

First, its 9 - 0 which will = 9.

Then, 3 - 9. but you can do that so you have to make the 3 in 30, into a 2 then make the 0 in 30 a ten, then make that 10 into a 9, then make the 3 into 13.

So 13 - 9 = 4.

Now you have 9 - 2. Which will = 7.

Last, its 2 - 1 which will = 1.

so after all of that you get: $17.49

Answer:

Step-by-step explanation:

To find the balance, take the old balance and subtract the amount spent on groceries.  next u have to minues -12.90 from 30.39 =17.49

What are the angles x?

Answers

Answer:

TOP LEFT TRIANGLE:  x=28°

BOTTOM LEFT TRIANGLE:  x=90°

TRIANGLE ON THE RIGHT:  x=34°

Step-by-step explanation:

TOP: the triangle on the right has 90 and 39.  That makes the third one 51. It’s supplement is 129.  129+23=152. 180-152=28. X=28°

BOTTOM: 180-119=61.  61+29=90.  180-90=90.  X=90°

RIGHT: right triangle has 90 and 70.  90+70=160. 180-160=20

180-70-41-15-20=34°

a: -20
b:-8
c:8
d:48
¿?

Answers

Answer:

the correct answer is -8

Step-by-step explanation:

to find this you are going to substitute 8 in for x in the equation

Find the midpoint between the points (7, -2) and (-4, 2). Write your answer in the proper form using parentheses

Answers

Answer:

( 1.5, 0)

Step-by-step explanation:

1. Find the coordinates ; in this case (7,-2) and (-4, 2)

2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)

3. ( 7 +  -4 ÷2) = 1.5    And    ( -2 + 2 ÷ 2) = 0

4. Therefore, the midpoint is ( 1.5, 0 )

                                         

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