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lora16 [44]
3 years ago
7

Solve for x. 5x^2 – 45 = 0

Mathematics
2 answers:
mamaluj [8]3 years ago
3 0

5x^2-45=0

<em>*Add 45 to both sides*</em>

5x^2=45

<em>*Divide both sides by 5*</em>

x^2=9

<em>*Take the square root of both sides*</em>

x=+/-9

Hope this helps!!

tamaranim1 [39]3 years ago
3 0

Answer:

+-3

Step-by-step explanation:

1. Add 45 to each side: 5x^2=45

2. Divide 5 on each side: x^2=9

3. Square root both sides: x= +-3

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The difference of n and 7 is no more than 12. Find all possible values of n.
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Answer:

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7-12= -5

7+12= 29

-5 ≤ n ≤ 29 or -5 ≤ n < 30 or -6< n ≤ 29 or -6 < n < 30

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Step-by-step explanation:

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2 years ago
The Rossi family ate 1/3 of a cheese pizza and 2/3 of a vegetarian pizza. How much total pizza did the Rossi family eat?
kupik [55]
1/3 plus 2/3 = 1 whole
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Step-by-step explanation:

Let a=6m where m is any integer since a is divisible by 6. (a+12)/3=(6m+12)/3=2m+4 which is also an integer. The remainder is 0.

Since n is divisible by 3, n can be written as 3a, where a is any integer and m can be written as 2b, where b is any integer. n*m+12=6ab+12 which is divisible by 2.

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A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the
sveta [45]

Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100           ........A

<u>Again</u>

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600             .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴  b = \dfrac{600}{10}

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0
3 years ago
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