MATHEMATICS MIDDLE SCHOOL

Solve for x. 4x−4<8 AND9x+5>23

Answers

Answer 1

Answer:

The solution for 4x - 4 < 8 is x < 3

The solution for 9x + 5 > 23 is x > 2

The given inequality is:

4x - 4 < 8

Add 4 to both sides

4x - 4 + 4 < 8 + 4

4x < 12

Divide both sides by 4

$(4x)/(4) < (12)/(4) \nx < 3$

The second inequality is:

9x + 5 > 23

Subtract 5 from both sides of the inequality

9x + 5 - 5 > 23 - 5

9x > 18

Divide both sides by 9

$(9x)/(9) > (18)/(9)\nx > 2$

The solution for 4x - 4 < 8 is x < 3

The solution for 9x + 5 > 23 is x > 2

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At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.

Answers

Answer:

250 students

Step-by-step explanation:

Another way of saying this is:

40% of all six-grade students are 100 of them.

So,

40% of total is equal to 100

We can translate this into an algebraic equation and solve for the total number of students.

Let total number of students be "t"

Also, note "of" means "multiplication" and "is" means "equal"

Lets translate word equation to algebraic:

"40% of total is equal to 100"

40% * t = 100

Converting percentage to decimal by dividing by 100, we have:

40% = 40/100 = 0.4

Now, we have:

0.4 * t = 100

We can now solve for t:

$0.4 * t = 100\nt=(100)/(0.4)\nt=250$

Hence,

the total number of students is 250

Answer:

250 students

Step-by-step explanation:

A map has a scale of 1 cm : 9 km. If two cities are 10 cm apart on the map, what is the actual distance between the cities, to the nearest tenth of a kilometer?

Answers

We can solve this problem by the rule of three:
1 cm-----------------9 Km
10 cm---------------- x

x=(10 cm * 9 km) / 1 cm=90.0 Km.

answer: 90.0 Km

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Answers

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Answers

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Answers

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Answers

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