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Kamila [148]
3 years ago
13

Arthur baked 1 7/12 dozen muffins. Nina baked 1 1/12 dozen muffins. How many dozen muffins did they bake in all?

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0
2 8/12 or 2.7 dozen muffins
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Use Cramer’s Rule to solve system of equation.
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\left\{\begin{array}{ccc}5x+2y=4\\3x+4y+2z=6\\7x+3y+4z=29\end{array}\right\\\\A=\left[\begin{array}{ccc}5&2&0\\3&4&2\\7&3&4\end{array}\right]\\\\\det A=5\cdot4\cdot4+3\cdot3\cdot0+2\cdot2\cdot7-7\cdot4\cdot0-3\cdot2\cdot5-3\cdot2\cdot4=54\\W_x=\left[\begin{array}{ccc}4&2&0\\6&4&2\\29&3&4\end{array}\right]\\\det W_x=4\cdot4\cdot4+2\cdot2\cdot29+6\cdot3\cdot0-29\cdot4\cdot0-3\cdot2\cdot4-6\cdot2\cdot4=108

W_y=\left[\begin{array}{ccc}5&4&0\\3&6&2\\7&29&4\end{array}\right]\\\det W_y=5\cdot6\cdot4+3\cdot29\cdot0+4\cdot2\cdot7-7\cdot6\cdot0-29\cdot2\cdot5-3\cdot4\cdot4=-162\\W_z=\left[\begin{array}{ccc}5&2&4\\3&4&6\\7&3&29\end{array}\right]\\\det W_z=5\cdot4\cdot29+3\cdot3\cdot4+6\cdot2\cdot7-7\cdot4\cdot4-3\cdot6\cdot5-3\cdot2\cdot29=324\\\\x=\dfrac{\det W_x}{\det A}=\dfrac{108}{54}=2\\\\y=\dfrac{\det W_y}{\det A}=\dfrac{-62}{54}=-3\\\\z=\dfrac{\det W_z}{\det A}=\dfrac{324}{54}=6

5 0
3 years ago
mary has g+24.50 in her bank account. bobby has 7g- 52.34 in his bank account. How much do they have in all?
Gnoma [55]
A=850×(1+0.08)^(8)
A=1,573.29

Interest 1573.29-850=723.29
6 0
3 years ago
WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!!
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Answer:

B

Step-by-step explanation:

When flipping, the y-levels of E' and F' do not change, meaning that as they are transferred across the y-axis, they keep their parallel to the original points.

6 0
3 years ago
(3a) You spend $72 on tapes and CDs. Each tape costs $8 and each CD costs $12.
Makovka662 [10]

Answer:

3a. 8t + 12c = 72

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Step-by-step explanation:

number of tapes is t

number of Cds is c

so 8t + 12c = 72

and t + c = 7

so t = 7 - c

replace t = 7 - c in to the first equation

8(7 - c) + 12c = 72

56 - 8c + 12c = 72

4c = 72 - 56 = 16

c = 4

if c = 4, then t = 7 - c = 7 - 4 = 3

6 0
2 years ago
What dose this sign mean in math ( )
polet [3.4K]

Answer:

< Less Than and > Greater Than

This symbol < means less than, for example 2 < 4 means that 2 is less than 4. This symbol > means greater than, for example 4 > 2. ≤ ≥ These symbols mean 'less than or equal to' and 'greater than or equal to' and are commonly used in algebra. In computer applications <= and >= are used.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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