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3 years ago

Solve the inequality for x: -3(2x+5) < -45

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

x>5

Step-by-step explanation:

-3(2x+5)<-45

2x+5<-45/-3

2x+5<15

2x<15-5

2x<10

x<10/2

x<5

x>5

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Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

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3 years ago

A bag contains six red marbles three blue marbles and five green marble the three marbles are drawn out of the bag what is the p

tia_tia [17]

Answer:

Step-by-step explanation:

Red = 6

Blue = 3

Green = 5

Total = 14

First marble = 6/14 = 3/7 You now have 5 reds and 13 total

Second Marble = 5 * 13 which brings you down to 4 red and 12 total.

Third Marble = 4/12 = 1/3

Result

P(3 Red) = 3/7 * 5/13 * 1/3 cancel the 3s

P(3 Red) = 1/7 * 5/13

P(3 Red) = 5/91

P(3 Red) = 0.0549 . Rounding to the nearest 1/100 depends on what you have been told about rounding. I would say the answer is 0.05 but your teacher may say something different.

8 0

2 years ago

What is the probability of flipping a coin and it lands on heads

charle [14.2K]

1/2 or 50%
cuz there’s only two probable outcomes

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2 years ago

Read 2 more answers

Jess observed that 60% of the people at a mall on a particular day shopped for clothes. If 2500 people at the mall did not shop

GalinKa [24]

2500 is 40% of the 100%
so, from the 40%, figure out 10%
2500/4=600
600 x 6=3,600
so, 3,600 is the answer

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