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3 years ago

1. For each problem, use the properties of inequalities to write a true inequality statement.

Mathematics

1 answer:

vlabodo [156]3 years ago

8 0

Part a) The true inequality statement is: $-2>-5$

Part b) The true inequality statement is: $-4>-7$

Part c) The true inequality is $6$

Step-by-step explanation:

We are given the two integers are -2 and -5.

Part a)

Write a true inequality statement.

The true inequality statement is: $-2>-5$

Part b)

Subtract-2 from each side of the inequality. Write a true inequality statement.

Subtracting -2 from each side we get:

$-2>-5\\-2-2>-5-2\\-4>-7$

The true inequality statement is: $-4>-7$

Part c)

Multiply each number by-3. Write a true inequality statement.

Multiplying -3 on both sides:

$-2>-5\\-2*-3>-5*-3\\Multiplying\,\,-3\,\,will\,\,change\,\,the\,\,inequality\,\,sign\\6$

The true inequality is $6$

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

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Greatest common divisor of 60 and 792 using the prime factorization method

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Answer:

Step-by-step explanation:

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3 years ago

Which of the following could be used to calculate the area of a sector in the circle shown below

lara [203]

Answer:

Therefore the Last option is correct

$\textrm{Area of Sector ACD}=\pi (8\ in)^{2}\times (\frac{42}{360})$

Step-by-step explanation:

Given:

Radius = r = 8 in

θ = 42°

To Find:

Area of Sector = ?

Solution:

We know that

$\textrm{Area of Sector}=\pi (Radius)^{2}\times \frac{\theta}{360}$

Substituting the given values in the formula we get

$\textrm{Area of Sector ACD}=\pi (8\ in)^{2}\times (\frac{42}{360})$

Which is the required Answer.

Therefore the Last option is correct

$\textrm{Area of Sector ACD}=\pi (8\ in)^{2}\times (\frac{42}{360})$

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2 years ago

When multiplying numbers in scientific notation you blank the coefficients and substract the exponents?

34kurt

For the sake of example, let's multiply the two numbers $2.3 \times 10^5$ and $3.5 \times 10^7$ together. Altogether, we have:

$2.3\times10^5\times3.5\times10^7$

Rearranging the expression, we can group the exponents and coefficients together:

$2.3\times3.5\times10^5\times10^7$

Multiplying each out, we notice that since $10^5$ and $10^7$ have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:

$2.3\times3.5\times10^{5+7}=8.05\times10^{12}$

The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and adding its exponents.

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3 years ago

Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each r

Margarita [4]

Hey there! I am on the same one. :) I will help you out a little.

Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each roll?
• 1: 1/6
• 2: 2/6
• 3: 3/6
• 4: 4/6
• 5: 5/6
• 6: 6/6

Using the uniform probability model you developed, what is the probability of rolling an even number?
1/6 Roll a number cube 25 times. Record your results here.

 1st toss=6 2nd toss=4 3rd toss=6 4th toss=6 5th toss=3 6th toss=3 7th toss=4 8th toss=2 9th toss=6 10th toss=5 11th toss=1 12th toss=4 13th toss = 5 14th toss =1 15th toss=4 16th toss=2 17th toss=2 18th toss=2 19th toss=6 20th toss=5 21st toss=3 22nd toss=4 23rd toss=3 24th toss=3 25 toss=5
How many results of 1 did you have? __2____________ How many results of 2 did you have? ____4__________ How many results of 3 did you have? ____5__________ How many results of 4 did you have? ______5________ How many results of 5 did you have? ______4________ How many results of 6 did you have? ______5________
Based on your data, what is the experimental probability of each roll? 1. 2/25 or 0.08

2. 4/25 or 0.16

3. 5/25 or 0.24

4. 5/25 or 0.2

5.4/25 or 0.16

6. 5/25 or 0.2Using the probability model based on observed frequencies, what is the probability of rolling an even number? 3/6 = ½ or 0.5
Was your experimental probability different than your theoretical probability? Why or why not? It somewhat is! The denominator is 25 for the experimental probability, and 6 for the theoretical probability.
Have a lovely day! Cheerio. :)

8 0

3 years ago

Read 2 more answers

A girl can run 6 2/3 metres in one second. How long will it take her to run 100 metres?

Crank

Answer:

15 seconds

Step-by-step explanation:

How did i get this answer? It is apparent that the girl is capable of running 6 2/3 metres per one second and she must run 100 metres.

First, let's convert 2/3 into a decimal so that it is easier to calculate later. 2/3=0.667 (you can also just do 2 divide by 3 and will end up with the same number)

Now our numbers are 6.667 and 100. Let's divide 100 by 6.667 which estimates to 15

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2 years ago

Read 2 more answers