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3 years ago

70% of the 60 coffee mugs at Zeke's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?

Mathematics

2 answers:

spin [16.1K]3 years ago

7 0

The answer is 42
60*0.7= 42

iogann1982 [59]3 years ago

4 0

Answer:

Step-by-step explanation:

Since 70% is just 70/100 or 0.70, you would multiply it by the 60 coffee mugs to find out how many of the coffee mugs are dirty.

Work:

60 * 0.70 = 42

This means that 42 of the coffee mugs are dirty out of the 60 coffee mugs.

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The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the l

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Answer:

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

${x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9$

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A= [2, 3; 2, 1], B=[3; 5]. Find AB & BA if possible

oksano4ka [1.4K]

Answer:

The value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$ and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

$A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right]$ , $B=\left[\begin{array}{ccc}3\\5\end{array}\right]$

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

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Matrix A has order 2 × 2 and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

$AB=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right] \left[\begin{array}{ccc}3\\5\end{array}\right]$

$AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]$

$AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]$

$AB=\left[\begin{array}{ccc}21\\11\end{array}\right]$

Hence, the value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$

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