MATHEMATICS HIGH SCHOOL

John has two open packs of paper. One pack has 31 pieces of paper. The second pack has 45 pieces of paper. How many pieces of paper does John have all together?

Answers

Answer 1

Answer: Hey, Taelyr123!
Pack 1=31
Pack 2=45
31+45=76 pieces of paper!
I hope this helps:)

Answer 2

Answer:

Answer:

Step-by-step explanation:

76 is correct. "All together" indicates addition.

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How do I go about solving (27x^3/8y^9)^5/3? And what is the role of the numerator and denominator?

Answers

$\left( (27x^3)/(8y^9)\right)^ (5)/(3) \n\n\n =\left( ((3x)^3)/((2y^3)^3)\right)^ (5)/(3) \n\n\n = \frac{(3x)^{3 * (5)/(3) }}{(2y^3)^{3 * (5)/(3) }} \n\n\n =((3x)^5)/((2y^3)^(5 )) \n\n\n =(243x^5)/(32y^(15))$

Now, If the exponent was negative like you asked....

$\left( (27x^3)/(8y^9)\right)^ {-(5)/(3)} \n\n\n =\left( (8y^9)/(27x^3)\right)^ {(5)/(3)}\n\n\n =\left( ((2y^3)^3)/((3x)^3)\right)^ (5)/(3) \n\n\n = \frac{(2y^3)^{3 * (5)/(3) }}{(3x)^{3 * (5)/(3) }} \n\n\n =((2y^3)^(5 ))/((3x)^5) \n\n\n =(32y^(15))/(243x^5)$

What is the solution of 3x + y = 9 and 3x − 5y = 15?

Answers

The answer is (10/3, -1)

What are the zeros of (x-2)(x^2-9)

Answers

$(x-2)(x^2-9)=0\iff x-2=0\ or\ x^2-9=0\n\nx-2=0\ \ \ \ |add\ 2\ to\ both\ sides\n\n\boxed{x=2}\n\nx^2-9=0\ \ \ \ |add\ 9\ to\ both\ sides\n\nx^2=9\iff x=\pm\sqrt9\to \boxed{x=-3\ or\ x=3}\n\nAnswer:\boxed{x=-3\ or\ x=2\ or\ x=3}$

If f(x)=x^2-11 for what values of x is f(x) < 25

Answers

The range of values for which f(x) < 25 are -6 < x < 6. The correct answer choice is e).

To find the values of x for which f(x) < 25, we substitute the expression for f(x) into the inequality and solve for x.

Given f(x) = x² - 11, we need to find the values of x that make f(x) less than 25.

x² - 11 < 25

Adding 11 to both sides, we have:

x² < 36

To determine the values of x that satisfy this inequality, we take the square root of both sides. Since the squareroot of a number can be positive or negative, we consider both positive and negative solutions.

x < √36

x > -√36

Simplifying, we get:

x < 6

x > -6

Therefore, the correct answer choice is e) -6 < x < 6, as it represents the range of values for which f(x) < 25. This means that x can take any value between -6 and 6 (excluding -6 and 6) for the inequality to hold true.

To learn more about function click on,

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Answer: D

Step-by-step explanation:

5²-11=14

6^2-11= 25

14>25

as the question asks for something lower than 25 not lower/equal to the answer is D.

Write y= -3/4 x-6 in standard form using integers.