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PilotLPTM [1.2K]
3 years ago
7

Part 1

Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

Answer:

a)  A n  (B' n C') =  {3, 9}.

b) (AUB) n (BUC) = {2,4,5,6,7,8}

Step-by-step explanation:

a)  Rewriting C ; C = {4,5,6,7,8}

B' = {3,5,7,9} and C' = {2, 3, 9}

so (B' n C') = {3, 9}

and A n  (B' n C') =  {3, 9}.

b)  {A U B} = { 2,3,4,5,6,7,8,9} and {B U C} = {2,4,5,6,7,8}

so (AUB) n (BUC) = {2,4,5,6,7,8}

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Which equations show the zero property of multiplication? Choose exactly two answers that are correct. A. –4.7 • 0 = 0 B. –8 + 8
tester [92]
The zero property is anything multiplied zero to equal zero

Answers: A and D

-4.7x0=0
0x3=0
6 0
3 years ago
Gerry's electric toothbrush rotates the brush 125 times per second.
makkiz [27]

Answer:

Her electric toothbrush makes 210,000 rotations in one week

Step-by-step explanation:

Note that:

  • 1 minute = 60 seconds
  • 1 week= 7 days

∵ Gerry brushes her teeth for two minutes, twice a day

→ Twice means times 2

∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day

∵ Gerry's electric toothbrush rotates the brush 125 times per second

∵ 1 minute = 60 seconds

→ Multiply 125 by 60 to find the number of rotating in 1 minute

∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute

∵ Gerry brushes her teeth for 4 minutes a day

→ Multiply it by 4 to find the number of rotation in 1 day

∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day

∵ 1 week = 7 days

→ Multiply the number of rotation in 1 day by 7 to find it in 1 week

∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week

∴ Her electric toothbrush makes 210,000 rotations in one week

3 0
3 years ago
What is the perimeter of the figure
Brums [2.3K]

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The perimeter, P, is: P=x+x+y+y.

3 0
3 years ago
Solve the inequality <br> 29-2(3-5w) 13
valentinak56 [21]

Answer:

29-2(2w)13

29-2(26w)

29-52w

w=52÷29

7 0
3 years ago
Which explains how to find the quotient of the division below? Negative 3 and one-third divided by StartFraction 4 over 9 EndFra
Ulleksa [173]

Answer:

(B) Write Negative 3 and one-third as Negative StartFraction 10 over 3 EndFraction, and find the reciprocal of StartFraction 4 over 9 EndFraction as StartFraction 9 over 4 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 10 over 3 EndFraction times StartFraction 9 over 4 EndFraction. The quotient is Negative 7 and StartFraction 6 over 12 EndFraction = Negative 7 and one-half.

Step-by-step explanation:

To find the quotient of the division:

-3\dfrac13 \div \dfrac49

Step 1: \text{Write}$ $ -3\dfrac13$ as $ -\dfrac{10}{3}

-3\dfrac13 \div \dfrac49 =  -\dfrac{10}{3} \div \dfrac49

Step 2: Find the reciprocal of  \dfrac94

-\dfrac{10}{3} \times \dfrac94\\=-7\dfrac12

4 0
3 years ago
Read 3 more answers
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