Jaron paid $13.80 for 5 tickets to the game. At the same rate, how much would 3 tickets cost? *

If a train traveld from station A at 60 mph in direction of station B, which is 60 miles away, how long would it take the train

kirill [66]

Answer:

b

Step-by-step explanation:because

5 0

2 years ago

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Select True or False for each statement.

mote1985 [20]

<h2>Answer:</h2>

For a real number a, a + 0 = a. TRUE

For a real number a, a + (-a) = 1. FALSE

For a real numbers a and b, | a - b | = | b - a |. TRUE

For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE

For rational numbers a and b when b ≠ 0, is always a rational number. TRUE

<h2>Explanation:</h2>

<u>For a real number a, a + 0 = a. </u><u>TRUE</u>

This comes from the identity property for addition that tells us that<em> zero added to any number is the number itself. </em>So the number in this case is $a$ , so it is true that:

$a+0=a$

For a real number a, a + (-a) = 1. FALSE

This is false, because:

$a+(-a)=a-a=0$

For any number $a$ there exists a number $-a$ such that $a+(-a)=0$

For a real numbers a and b, | a - b | = | b - a |. TRUE

This is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:

$\mid a-b \mid= \mid b-a \mid$

For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE

This is false. By using distributive property we get that:

$(a + b)(a + c)=a^2+ac+ab+bc \\ \\ a^2+ab+ac+bc \neq a+(b.c)$

For rational numbers a and b when b ≠ 0, is always a rational number. TRUE

A rational number is a number made by two integers and written in the form:

$\frac{u}{v} \\ \\ v \neq 0$

Given that $a \ and \ b$ are rational, then the result of dividing them is also a rational number.

7 0

2 years ago

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Students at Dessau Middle School can have fun with math at their first Olympic Math Game Night. It is scheduled for 6 to 8 p.m.

galina1969 [7]

Answer:

great essay lol

Step-by-step explanation:

4 0

3 years ago

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Solve the quadratic equation by completing the square.<br> x²–2x-12=0

inn [45]

Answer:

$(x-1)^2-13=0$

$x = \sqrt{13}+1$

Step-by-step explanation:

Completing the square is a method of rewriting a quadratic equation in the standard form such that it is in vertex form. The first step is to group the linear and quadratic terms, then factor out the coefficient of the quadratic term. After doing so, complete the square, add a value such that the linear and quadratic terms form a perfect square trinomial. Do not forget to balance the equation. The final step is to simplify.

$x^2-2x-12=0$