Yes, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.
<h3>What is inequality?</h3>
Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
For 35 long haired and 40 short haired member.
Put this values in the given equation.
For water 70L+60S < 5600
70 x 35 + 60 x 40
2450+2400
4850 <5600
inequality holds
For shampoo 0.02L+0.01S ≤ 1.50
0.02 x 35 + 0.01 x 40
0.7 + 0.4
1.1 < 1.50
inequality holds
Thus, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.
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4:15 to 5:00 is 45 minutes; 5:00 to 5:50 is 50 minutes. 50+45=95 minutes = 1 hour and 35 minutes.
Answer:
<u>2 : 4 : 1</u>
Step-by-step explanation:
First take common factors by factorization.
56 = 14 x 4 = 28 x 2
112 = 14 x 8 = 28 x 4
28 = 14 x 2 = 28 x 1
Remove the 28 common factor.
Therefore,
56 : 112 : 28
= <u>2 : 4 : 1</u>
Answer:
Books:Dollars = For each book it is $13. (1:13)
Minutes:Beats = For each minute there are 63 beats (1:63)
Step-by-step explanation:
Books and Dollars
- 2:26 can be reduced by 2
- 1:13
Minutes and Beats
- 3:195 can be reduced by 3
- 1:63
Answer: a) AB = ![\left[\begin{array}{ccc}-14&26\\-11&22\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-14%2626%5C%5C-11%2622%5Cend%7Barray%7D%5Cright%5D)
; b) ![\left[\begin{array}{ccc}5&-5\\13&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-5%5C%5C13%269%5Cend%7Barray%7D%5Cright%5D)
; c) No, they are different; d) No, they are never the same;
Step-by-step explanation:
a) A = ![\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%264%5C%5C1%263%5Cend%7Barray%7D%5Cright%5D)
, B = ![\left[\begin{array}{ccc}-2&1\\-3&7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%261%5C%5C-3%267%5Cend%7Barray%7D%5Cright%5D)
. This multiplication is possible, because matrix A has 2 columns and matrix B has 2 rows. When those value are equal, the multiplication is possible.
AB = . =
b) BA = . =
c) As, we can see, parts a and b are differents.
d) With matrices, multiplication is not commutative, which means AB≠BA
