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Ede4ka [16]
3 years ago
7

At a bakery, a baker prepares 6 dozen blueberry muffins for every 5 dozen apple muffins. If the baker prepares 16 dozen blueberr

y muffins, how many dozen apple muffins will he prepare? Can you please explain how to do this. THANKYOU!!!!
Mathematics
1 answer:
spayn [35]3 years ago
5 0
I would write a proportion, I can't use a fraction bar so they will just be on top of each other:
Blueberry Muffins    6
Apple Muffins          5
For every 6 Blueberry muffins there are 5 apple muffins (dozens)
So when he makes 16 blueberry muffins (dozens)
You write it next to the '6' because it's talking about blueberry muffin dozens.
The proportion now:

Blueberry Muffins  6   16
Apple Muffins        5    x
To find x, or the number of apple muffin dozens, you multiply 16 * 5, which is
80.
Then divide by 6.
80/6= 13.333
You can't have .333 of a dozen, so round it to 13.
***ANSWER*** 
He prepared 13 Apple muffin dozens.
Hope this helped <3
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-9x-6y=15,9x-10y=145
vazorg [7]

-9x-6y=15

9x-10y=145

Find y first by eliminating the x.

Add the two equations together.

-9x+9x-6y+-10y=15+145

-6y+-10y=15+145

-6y-10y=160

-16y=160

divide both sides by -16 to get +y

-16y/-16=160/-16

y=-10

Use the substitution method to find x

-9x-6y=15

-9x-6(-10)=15

Do the bracket first

-9x+60=15

Move +60 to the other side. Sign changes from +60 to -60.

-9x+60-60=15-60

-9x=-45

Divide both sides by -9

-9x/-9=-45/-9

x=5

Answer:

( 5,-10)

3 0
3 years ago
What is 8.05x10^-5 in standard notation
Marina CMI [18]

Answer: 0.0000805

Step-by-step explanation:

You move the decimal 5 places to the left of 8.05.

6 0
3 years ago
Jim wishes to buy 3 gifts that cost 15 dollars, 9 dollars, and 12 dollars. he has 1/4 of the money he needs, how much more money
Archy [21]
In order to solve this, you have to plug in all of the costs of the gifts and add them, which in all equals $36. since jim only has 1/4 of the money he needs to buy the gifts, you need to divide 36 by 4. this gives you 9, so now you know he has 9 dollars.
and to find out how much more money he needs, you can subtract 9 from 36 which represents a fourth of the required money. the answer is 27, that's how much jim needs in order to buy his gifts.
7 0
3 years ago
WILL MARK BRAINLIEST!!! Find the fifth roots of 243(cos 240° + i sin 240°).
Snowcat [4.5K]

Answer:

<h2>3(cos 336 + i sin 336)</h2>

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336)

6 0
3 years ago
Given the conversion factor 12 in/ 1 ft, which has the larger volume?
dsp73

Answer:

A. Cube A

Given:

Cube A volume = 5832 in³

For Cube B dimension in inches:

  • 1.2 feet = 14.4 in
  • 1 feet = 12 in
  • 1 feet = 12 in

So Volume of Cube B:

L × B × H = 14.4 × 12 × 12 = 2073.6 in³

Cube A has a larger volume that Cube B.

5 0
1 year ago
Read 2 more answers
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