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Evgesh-ka [11]
3 years ago
5

2.A radio station gave away 126 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. How m

any tickets did they give away to employees?
Mathematics
1 answer:
zhenek [66]3 years ago
5 0
They Gave The Employees 21 Tickets
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The sum of two consecutive odd intergers is 32. Find the intergers.
elena-14-01-66 [18.8K]
So let the smaller integer be 2x+1 and the larger one be 2x+3. So 2x+1+2x+3 is 32. Simplifying, we get 4x+4=32. So subtracting 2 from both sides we get 4x+2=30. So dividing by 2 we get 2x+1=15. So 2x+3 is 17. So the numbers are 15 and 17
4 0
3 years ago
What is the conjugate of the product (2 - i)(1+2i)?
ivann1987 [24]

Answer:

4-3i is the answer.......

Explanation

<u>Product</u>

(2-i)(1+2i) = 2+4i-i-2i²

= 2+4i-i+2

= 4+3i

conjugate of 4+3i is 4-3i

8 0
3 years ago
2.1.43 A particular hybrid car travels approximately 235 mi on 5 gal of gas. Find the amount of gas required for a 705-mi trip.
o-na [289]

Answer: 15 gallons of gas is required for a 705 miles trip.

Step-by-step explanation:

Since we have given that

Number of miles in a trip = 235 miles

Number of gallon of gas is needed = 5

We need to find the amount of gas required for 750 miles trip.

Since there is direct variation, as for increase in number of miles, amount of gas must be increased.

According to question, it becomes,

\dfrac{235}{5}=\dfrac{705}x}\\\\47=\dfrac{705}{x}\\\\47x=705\\\\x=\dfrac{705}{47}\\\\x=15\ gallons

Hence, 15 gallons of gas is required for a 705 miles trip.

7 0
3 years ago
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
3 years ago
Read 2 more answers
75 POINTS HELP PLEASE
Lady bird [3.3K]
The correct answer is C) (5×10⁴)(1×10²)

Explanation:
The number of trees can be calculated by the formula:
trees = density × area

Consider that the problem says that the researcher makes an approximation, and the answers have numbers written in scientific notation.

The density is 86 trees/km², 
which can be rounded to 100 trees/km² 
and written as <span>1×10².
Therefore, density = </span>1×10² trees/km²

The area of a square can be calculated by the formula:
A = s²
   = 220² 
   = 48400 km²
which can be roundend to 50000
and written as <span>5×10⁴
Therefore, area = </span>5×10⁴ km²

Now, we can substitute in the original formula:
trees = (1×10²)(5×10⁴)
3 0
2 years ago
Read 2 more answers
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