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Delicious77 [7]
2 years ago
9

Directions: Follow the instructions for the following inequalities. 1. 4<7 Multiply both sides by 7 , then by 6, then by 3, t

hen by 10 2. 11>-2 Add 5 to both sides, then add 3, then add (-4) 3. -4<-2 Subtract 6 from both sides, then 8, and then 2 4. -8<8 Divide both sides by -4, then by -2 5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Mathematics
1 answer:
worty [1.4K]2 years ago
4 0

In the given question, we have to perform this experiment and test if the inequality is true or not.

Adding the same value to both sides of the inequality will not change the inequality sign

<h3>Inequality</h3>

data;

  • 4 < 7
  • 11 > - 2
  • -4 < - 2
  • -8 < 8

In the first case, we would do follow the process

6 * 7 * 4 < 7 * 7 * 6\\168 < 294

In the second case;

11 > - 2\\\\5 + 11 > -2 + 5\\3 + 16 > 3 + 3\\4+ 19 > 6 + 4\\23 > 10

In all the scenarios, the operations did not affect the inequality sign because we are doing it equally to all side and at the end of the day nullifies each other.

Learn more on inequality here;

brainly.com/question/24372553

#SPJ1

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Friday's meeting needs 12 more sandwiches than Tuesday which needs 6 fewer than Monday which needs 20 more than wednesday which
Alina [70]

He will need 315 sandwiches to make each day next week

Step-by-step explanation:

The given:

  • Friday's meeting needs 12 more sandwiches than Tuesday
  • Tuesday needs 6 fewer than Monday
  • Monday needs 20 more than Wednesday
  • Wednesday needs 5 fewer than Thursday
  • The number of sandwiches ordered for the meeting that calls for the fewest is 50

We need to find how many sandwiches he will need to make each day next week

Assume that Tuesday needs x sandwiches

∵ Friday's meeting needs 12 more sandwiches than Tuesday

∵ Tuesday needs x sandwiches

- Add x by 12 to find Friday's need

∴ Friday needs = x + 12

∵ Tuesday needs 6 fewer than Monday

- That means Monday needs 6 more than Tuesday, add 6 to x

   to find Monday needs

∴ Monday needs = x + 6

∵ Monday needs 20 more than Wednesday

- That means Wednesday needs 20 less than Monday, subtract

   20 from Monday needs to find Wednesday needs

∴ Wednesday needs = x + 6 - 20 = x - 14

∵ Wednesday needs 5 fewer than Thursday

- That means Thursday needs 5 more than Wednesday, add 5 to

    Wednesday needs to find Thursday needs

∴ Thursday needs = x - 14 + 5 = x - 9

∵ The number of sandwiches ordered for the meeting that calls

   for the fewest is 50

- From the days needs above the fewest one is Wednesday, then

   equate Wednesday needs by 50

∵ Wednesday needs is x - 14

∴ x - 14 = 50

- Add 14 to both sides

∴ x = 64

Substitute x in each day needs to find the number of sandwiches

∵ Tuesday needs is x

∴ Tuesday needs = 64

∵ Friday needs is x + 12

∴ Friday needs = 64 + 12 = 76

∵ Monday needs is x + 6

∴ Monday needs = 64 + 6 = 70

∵ Wednesday needs = 50

∵ Thursday needs is x - 9

∴ Thursday needs = 64 - 9 = 55

Add the numbers of sandwiches of all day to find the number of sandwiches he will need to make each day next week

∵ The number of sandwiches = 76 + 64 + 70 + 50 + 55

∴ The number of sandwiches = 315

He will need 315 sandwiches to make each day next week

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

4 0
3 years ago
For a class trip, 114 students are put on buses. At this rate, how many students would be on eight buses? Show your work.
vredina [299]

Answer:

Not really sure but 14.25 students seem to be the correct answer.

Step-by-step explanation:

114:8 = 14.25

3 0
1 year ago
Convert 40g into degrees​
Lera25 [3.4K]

Answer:

40g=  36 in degrees (decimal), and 36 degrees 0' 0" in degrees (Minutes&Seconds)

Step-by-step explanation:

8 0
3 years ago
The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr
faltersainse [42]

Answer:

c. binomial distribution with n = 5 and p = 1/33.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability of a birth resulting in a defect is independent of other births. So we use the binomial probability distrbution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that the probability of a birth resulting in a defect is p = \frac{1}{33}

A local hospital randomly selects five births.

This means that n = 5

So the correct answer is:

c. binomial distribution with n = 5 and p = 1/33.

8 0
3 years ago
What is the simplified form of the following expression? (y8)(y2)
kaheart [24]
It's y10, use your distributive property and you'll be good to go
7 0
3 years ago
Read 2 more answers
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