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Evgen [1.6K]
3 years ago
8

If Jo is supposed to read one-half of a 100-page book for an English assignment and she has finished 38 pages, what percent of t

he assignment does she have left to do? Please answer and explain
Mathematics
1 answer:
musickatia [10]3 years ago
8 0
\frac{1}{2}\cdot100=50\ (pages)\\\\50-38=12\ (pages)\\\\\frac{12}{50}\cdot100\%=(12\cdot2)\%=24\%\leftarrow answer
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He length of a rectangle is 1 inch less than twice it's width. If the width is w inches,which expression gives the length?
Gnesinka [82]
L= 2w-1 Is your answer
6 0
3 years ago
Each day for 12 consecutive days, Ricardo jogged for 1 2/3 hours at an average rate of 6 1/4 miles per hour. Find the total dist
kirill115 [55]

Answer:

Your answer is 125 miles

Step-by-step explanation:

1 \frac{2}{3} ×6 \frac{1}{4} = 10 \frac{5}{12}

10 \frac{5}{12} × 12 = 125

8 0
2 years ago
LaSanda bought 20 shares of stock for $175. She sold the stock for a total profit of $25. What was the selling price of each sha
podryga [215]
So if she bought 20 share of stock for $175 that means that she paid $8.75 for each stock so if she made $25 you add then you divide

175÷20 = $8.75
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4 0
2 years ago
Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0
3 years ago
Whats the factor of. <img src="https://tex.z-dn.net/?f=3mx%5E%7B2%7D%20-19mn%2B6nx%5E%7B2%7D" id="TexFormula1" title="3mx^{2} -1
Sindrei [870]
The answer is 122222
8 0
3 years ago
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