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bogdanovich [222]
3 years ago
9

solve the linear equation 29 - 3x = 5x + 5 state the property that justifies your step and why you chose it

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Answer:

x=3

Step-by-step explanation:

29-3x=5x+5

29=5x+5+3x

29=8x+5

29-5=8x

24÷8=x

3=x

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Sam earns $54 275 in a year.
weqwewe [10]

Answer:

he would pay $8,293.5 in income tax.

b:

Step-by-step explanation: he pays  15.280515891294% of his pay in tax. if the income rate was increased to 21% then he would pay 9,675.75‬ in taxes.  Which is 1,382.25 more than 18% tax.

5 0
3 years ago
Can someone help me with this
elena-s [515]

Answer:

3^14

Step-by-step explanation:

Taking a look at the question, try to break it down into these general steps:

1. Identify the base number. Are they the same? In this case, the base number is 3 so they are the same.

2. Recall the rules when multiplying exponents. In this case, multiplying exponents across will end up being 9+5.

3. Rewrite the equation as 3^(9+5). This should give you 3^14

3 0
2 years ago
The population of a city increases by 5% every year. If it’s population today is 300,000 what will it’s population be in 2 years
disa [49]

Answer:

Population after n years = Present Population =(1+

100

r

​

)

n

Population after 2 years =50000(1+

100

5

​

)

2

=50000(

100

105

​

)

2

=50000×

100

105

​

×

100

105

​

=5×105×105=55125

Step-by-step explanation:

6 0
2 years ago
The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun
polet [3.4K]

9514 1404 393

Answer:

  • base: 2.18 m
  • height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

  h = 3 +2b

and the area is ...

  A = 1/2bh

  8 = 1/2(b)(3 +2b)

  16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

  2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

  2(b +3/4)^2 = 17.125

  (b +3/4)^2 = 8.5625 . . . . . divide by 2

  b + 0.75 = √8.5625 ≈ 2.9262

  b = -0.75 +2.9262 = 2.1762

  h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

3 0
3 years ago
A fair die with sides numbered 1, 2, 3, 4, 5, and 6 is to be rolled until a number greater than 4 first appears. what is the pro
AnnyKZ [126]
First two rolls have to be 1-4 that is 2/3 chance twice and the third can be 4or 5
2/3*2/3*1/3 + the chance that the fourth is the 5 or 6. 
2/3*2/3*2/3*1/3

So the solution is : P=2/3*2/3*1/3 + 2/3*2/3*2/3*1/3
7 0
3 years ago
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