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defon
3 years ago
14

Anyone take this and know the right answer? I'll give brainliest and 20pts. To make 1 1/2 dozen muffins, a recipe uses 3 1/2 cup

s of flour. How many cups of flour are needed for every dozen muffins made? Enter your answer in the box as a mixed number in simplest form.
Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0
A) if 3½ cups make 1½ dozen, how will you find out how to make 1 dozen?

b) how do you get 1½ down to just 1 dozen?
> divide by 1.5
> 1.5 ÷ 1.5 = 1 dozen

c) so now you do it to the other measurement
> 3.5 ÷ 1.5 = 2.33
> 2.33 = 2⅓ cups

d) your answer is:
for every 1 dozen muffins, you need 2⅓ cups of flour

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3 0
3 years ago
Mrs Tan bought 4 times as many pens as notebooks and each notebook cost $8.20 more than each pen. She spent $26 more on the book
lilavasa [31]
Let x be the cost of 1 pen
then cost of 1 notebook = x + 8.20

Let y be the number of pens Tan buys
then number of notebooks Tan buys = y/4

She spent $26 more on books than on pens which means

Cost of notebooks - Cost of pens = 26
(x + 8.20) * y/4 - xy = 26

Sinplifying it

(xy + 8.20y)/4 - xy = 26
(xy + 8.20y - 4xy)/4 = 26
8.20y - 3xy = 104

She spent $394 which means

Cost of notebooks + Cost of pens = 394
(x + 8.20) * y/4 + xy = 394

Simplifying it

(xy + 8.20y)/4 + xy = 394
(xy + 8.20y + 4xy)/4 = 394
8.20y + 5xy = 1576

Now, we have two equations,

(1) 8.20y - 3xy = 104
(2) 8.20y + 5xy = 1576

Now we need to find a third equation with either x or y as the subject of any of both the previous equations.

Let's make y the subject of (2) equation

8.20y + 5xy = 1576
y(8.20 + 5X) = 1576
(3) y = 1576/(8.20 + 5x)

Let's substitute the new value of y from (3) into (1) because we rearranged (2) to from (3)

8.20y - 3xy = 104
y(8.20 - 3x) = 104
y = 104/(8.20 - 3x)
1576/(8.20 + 5x) = 104/(8.20 - 3x)
1576 * (8.20 - 3x) = 104 * (8.20 + 5x)
12923.2 - 4728x = 852.8 + 520x
12923.2 - 852.8 = 4728x + 520x
12070.4 = 5248x
12070.4/5248 = x
x = 2.3

Now find the value of y by substituting the value of x in either equation, preferably (3)

y = 1576/(8.20 + 5x)
y = 1576/(8.20 + 5 * (2.3))
y = 80

Therefore cost of 1 notebook = x + 8.20 = 2.3 + 8.20 = $10.50

8 0
3 years ago
Can anyone help me? I need an exact answer, please no guesses. Thanks in advance
tia_tia [17]
45 degrees
160 - 115
6 0
3 years ago
Read 2 more answers
I'll give points just please help(it's a little long sorry:( A student randomly selects some crayons from a large bag of crayons
andrey2020 [161]

the probability of selecting a blue crayon for the bag is 16.7% while estimate probability of selecting a red crayon is 20% and the most likely crayon to be selected is brown crayon and also the possibility of getting a real possibility of the number of crayons in the bag is 60

3 0
4 years ago
Miss milliman reserving a room at the hotel India for a trip to see a show at the Fox Theater Hotel India charge of $717 for a t
sammy [17]
717/3= 239
 


Divide 717 by 3 to get the price of one night.
4 0
3 years ago
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