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vaieri [72.5K]
2 years ago
6

mr. knox's rent during the past year amounted to $2700 per year. His rent was 20% of his income. find his income fo the last yea

r.
Mathematics
2 answers:
NARA [144]2 years ago
8 0

Answer:

$13,500

Step-by-step explanation:

20% is 1/5, so to figure out his income we multiply 2700*5=13500

Brut [27]2 years ago
4 0

Answer:

$13,500

Step-by-step explanation:

Fraction: 20/100 = 2700/x

Find <em>x</em>

<em />

20x=270000

Divide 20 by both sides

X=13,500

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If m(x)=x 5/x-1 and n(x) = x – 3, which function has the same domain as (m*n)(x)
Tatiana [17]
<span><u><em>Answer:</em></u>
m(x) has the same domain as (m*n)(x)

<u><em>Explanation:</em></u>
<u>1- For m(x):</u>
m(x) is a fraction. This means that the <u>denominator cannot be zero</u>, otherwise, the fraction would be undefined.
The denominator of m(x) would be zero at x = 1.
This means that the <u>domain of m(x) can be any real number except 1</u>

<u>2- For n(x):</u>
The value of x in n(x) can be any number. This is because there is no value that would make n(x) undefined.
This means that the <u>domain of n(x) is all real numbers</u>

<u>3- For (m*n)(x):</u>
(m*n)(x) = m(x) * n(x) = </span>\frac{x-5}{x-1} *(x-3) =  \frac{(x-5)(x-3)}{(x-1)}
<span>
We can note that the product is also a fraction. This means that the <u>denominator cannot be zero</u>.
The denominator here will be zero at x = 1.
This means that the <u>domain of (m*n)(x) is all real numbers except 1</u>.
<u>This is the same as the domain of m(x)</u>

Hope this helps :)</span>
8 0
3 years ago
Kyle gave 2/7 of his money to his wife and spent 4/5 of the remainder. If he had $300 left, how much money did he have at first?
densk [106]

Answer:

$5,250

Step-by-step explanation:

2/7x - [4/5(2/7x)] = 300

2/7x - 8/35x = 300

10/35x = 8/35x = 300

2/35x = 300

2x = 10500

x = 5250

6 0
3 years ago
Complete the statement, and find the value of x in the diagram. A trapezium with two opposite angles is labeled as 101 degrees.
geniusboy [140]

The complete statement about the quadrilateral is, the quadrilateral shown is a kite and the value of x is 3

<h3>What are quadrilaterals?</h3>

Quadrilaterals are shapes that have four sides and four angles.

The four sides may or may not be congruent, and at the same time the four angles may or may not be congruent

<h3>How to determine the value of x?</h3>

The image that completes the question is added at the end of this solution as an attachment

From the attached figure, we have the following highlights

  • Opposite angles of the quadrilateral are congruent
  • Adjacent sides of the quadrilateral are congruent

This means that:

AD = DC

AB = BC

The quadrilateral shown is a kite

So, we have the following congruent angles:

ADB = CDB

Substitute the measure of both angles

11x = 9x + 6

Subtract 9x from  both sides

3x = 6

Divide both sides by 2

x = 2

Hence, the complete statement about the quadrilateral is, the quadrilateral shown is a kite and the value of x is 3

Read more about quadrilaterals at:

brainly.com/question/23935806

#SPJ1

5 0
1 year ago
If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
exis [7]

Answer:

Answer of this is... D... 2x-3

4 0
3 years ago
What is the minimum value of the cube root parent function on -8≤x≤8?
podryga [215]

Minimum means smallest, so what is the smallest number possible for this set?

-8

---

hope it helps

6 0
3 years ago
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