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notsponge [240]
2 years ago
7

3(-10n + 9) - 3(1 + 8n)= 24

Mathematics
1 answer:
Arlecino [84]2 years ago
8 0

Answer:

n=0

Step-by-step explanation:

Let's solve your equation step-by-step.

3(−10n+9)−3(1+8n)=24

Step 1: Simplify both sides of the equation.

3(−10n+9)−3(1+8n)=24

(3)(−10n)+(3)(9)+(−3)(1)+(−3)(8n)=24(Distribute)

−30n+27+−3+−24n=24

(−30n+−24n)+(27+−3)=24(Combine Like Terms)

−54n+24=24

−54n+24=24

Step 2: Subtract 24 from both sides.

−54n+24−24=24−24

−54n=0

Step 3: Divide both sides by -54.

−54n/-54=0/−54

n=0

Answer:

n=0

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The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine tha
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Step-by-step explanation:

The Jones family has saved a maximum of $750 for their family vacation to the beach. It means that whatever they would do during the vacation, they cannot spend more than $750.

The inequality can be used to determine the number of nights the Jones family could spend at the hotel is

750 ≥ 75 + 125h

This can also be written as

75 + 125h ≤ 750

We would solve the inequality for the value of h.

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For any value of h greater than 5.4 hours, the inequality will not be true.

4 0
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1- Caleb's family room has the dimensions shown. He needs to find the area of the room so that he knows how much carpet to buy.
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Answer: 20\frac{11}{32}\ sq\ yd


Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
What is "A number decreased by 4 is less than 14" written as an inequality?
navik [9.2K]

Answer:

"A number decreased by 4 is less than 14" written as an inequality is x - 4 < 14

Step-by-step explanation:

First: Figure out what a number decreased by 4 is.

Well, a number decreased by 4, how would that look like? To find out, we should look for some key words in the term. So, I will bold out the keywords in the term this time:

A number decreased by 4

That word 'decreased' gives us a hint. Out of the four basic operations (addition, subtraction, multiplication and division), 'decreased' fits into the subtraction category best. So we can replace 'decreased' with a minus sign. Since we don't know the specific value of 'A number', we will assign it a variable, the variable x. 4 is just 4 so we can leave that number alone. So the first term would look like this:

A number decreased by 4 = x - 4

Second: Since we know what the first term is, we need to find out what the second term is and the inequality sign.

This step is quite easy. Let's tackle the inequality sign first:

A number decreased by 4 is less than 14

The only words that would describe an inequality sign are the words: 'less than'. The less than sign looks like this: <

Fourteen [just like four] is just a number so we don't need to change that

So our final product is this: x - 4 < 14

Thank you for reading.

Topic: Inequalities

6 0
3 years ago
A rational number can be written as a fraction?​
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Answer:

Yes, a rational number can be written as a fraction.

Step-by-step explanation:

Because, A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). It can be written as a fraction in which the the top number (numerator) is divided by the bottom number (denominator).

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