Liang went to the bookstore. he spent 1/3 of his ,money on a pen and 4/7 of it on books. what fraction of his money did he have left?

Answers

Answer 1
Answer: Convert into like fractions --> 
1/3 = 7/21 4/7 = 12/21
7+12 = 19
19/21 is spent therefore he has 2/21 left
Answer 2
Answer:

The fraction of the amount Liang has left is (2)/(21)

  • Let X = Amount spent on a pen; X = (1)/(3)
  • Let Y = Amount spent on books; Y = (4)/(7)
  • Let M = Amount of money Liang has got; M =?
  • Let L = Amount of money Liang will have left; L = ?

Further Explanation

To derive L (amount of money Liang will have left), add X (amount spent on a pen) and Y (amount spent on books) together, then the derived value be subtracted from M (fraction of total amount Liang has got) i.e.: M – (X + Y)

Therefore, L = M – (X + Y)

Deriving (X + Y)

= X + Y

= (1)/(3) + (4)/(7)

= (1 x 7) + (3 x 4) / 21

= (7) + (12) / 21

= 7 + 12 / 21

= (19)/(21)

X + Y = (19)/(21)

Since the lowest common denominator of the fraction of X and Y = 21, then the fraction of M = (21)/(21)

Thus, M = (21)/(21)

Recall, L = M – (X + Y)

Thus,

L = (21)/(21)(19)/(21)

L = (1 x 21) – (1 x 19) / 21

L = (21) – (19) /21

L = 21 – 19 /21

L = (2)/(21)

Hence, the amount Liang will have left is (2)/(21)

LEARN MORE:

KEYWORDS:

  • denominator
  • numerator
  • numbers
  • fraction
  • liang

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2z-18-4z=-8 what is the value of z

Answers

\bold{Hey\ there!} \n \bold{Simply\ both\ sides\ of\ your\ equation\downarrow} \n \bold{2z+(-4z)+(-18)=-8} \n \bold{Now, \ you \ have\ to \underline{Combine\ your\ like\ terms}\downarrow} \n \bold{\bullet \ 2z\ \& \ -4z}\n \n \bold{2z+(-4z)=-2z}\n \bold{-2z-18=-8}\n \bold{Nextly,\ you\ have\ to\ \underline{add}\ by\ 18\ on\ your\ sides\downarrow} \n \bold{-2z-18+18=-8+18} \n \bold{Cancel:-18+18} \n \bold{Keep:-8+18} \n \bold{\underline{Divide}\ by\ -2\ on\ your\ sides\downarrow}\n \bold{(-2z)/(-2)}\bold{= (10)/(-2)} \n \bold{Cancel: (-2z)/(-2)} \n \bold{Keep:(10)/(-2)} \n \n \boxed{\boxed{\bold{Answer: z=-5}}}\checkmark \n \n \n \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}\n \n \frak{LoveYourselfFirst:)}

Answer- z is equal to -5

la suma de nataly y nicole es 18 años si nicole es mayor q nataly por 2 años ¿cual es la edad de nicole?

Answers

Nicole seria 16
Nicole would be 16

Martine puts numbers in the order shown 518,673, ,729. which number can Martine put on the empty card...659, 821, 722, or 854

Answers

Martin can put the number 722 on the empty card

Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows?How many minutes did it take?

Answers

For 10 rows, she takes = 12 min.
So, for 1 row, she'll take = 12/10 

Now, for 15 rows, it would be: 12/10 * 25 = 12/2 * 5 = 60/2 = 30

So, Your Final Answer would be 30 minutes

Hope this helps!

Answer:

30 Minutes

Step-by-step explanation:

I took the test online in K12 and when I reviewed it said that 30 is the correct answer.

a wooden board is 100 centimeters long is cut into two pieces one is 16 centimeters longer than the other what are the lengths of the two pieces

Answers

(100 - 16)÷2 = 42 is the short one's length and 42 + 16 = 58 is the long one's length
Problema Solution a wooden board 100 centimeters long is cut into two pieces. One piece is 16 inches longer than the other. What are the lengths of the two pieces x = the length of one piece y = the length of the other piece the total length is 100 cm this means x + y = 100 one piece is 16 inches longer than the other first we need to convert inches to cm: 1 in = 2.54 cm 16 in = 2.54*16 = 40.64 now we can write x = y + 40.64 by solving the system of equations x + y = 100 x = y + 40.64 we find x = 70.32 cm y = 29.68 cm the lengths of the two pieces are 70.32 cm and 29.68 cm.

The number on Mr. Mott's door is after 100. If you count by 20s four times, you will get the number. What number is it?

Answers

180. Because your counting 4 times by 20 and that equals 180.
 the answer is 180 because 4*20=80 100+80 = 180