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OverLord2011 [107]
3 years ago
10

Solve. 4 x + 6 < − 6 Thankyou In advance :>

Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

x < -3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

  • 4x + 6 - 6 < -6 - 6
  • 4x < -12

Step 2: Divide both sides by 4.

  • \frac{4x}{4} < \frac{-12}{4}
  • x < -3

Therefore, the answer is x < -3.

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Among two supplementary angles, the measure of the larger angle is 44°
zhuklara [117]

Answer:

68° and 112°

Step-by-step explanation:

Supplementary angles sum to 180°

let the smaller angle be x then the larger angle is x + 44 , then

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x = 68

Smaller angle = 68° and

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What is the value of x in the equation below?<br><br> 1/3(12x-24)=16
agasfer [191]
1/3(12x-24)=16
*3                  *3
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5 0
3 years ago
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In calculating the present value of $1,000 to be received 5 years from today, the discount factor has been calculated to be .700
Trava [24]
To calculate the present value we shall proceed as follows:
from the present value table, the percentage corresponding to discount factor of 0.7008 in 5 years is 7%
therefore using the formula:
FV=PV(1+r/100)^n
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PV=?
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hence:
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6 0
3 years ago
A car company is going to issue new ID codes to its employees. Each code will have one digit followed by four letters. The lette
scoray [572]

2734375 employee ID codes can be generated

<em><u>Solution:</u></em>

Given that Each code will have one digit followed by four letters

The letter V and the digits 3, 4, and 5 will not be used

So, there are 25 letters and 7 digits that will be used

Assume that the letters can be repeated

Each code = 1 digit + four letters

digits 3 , 4 , 5 cannot be used

Therefore, the remaining digits are 1, 2, 6, 7, 8 , 9, 0

7 digits that will be used

One digit can be chosen from 7 digits in 7 ways

The first letter can be chosen from 25 letters in 25 ways

Since given that letters can be repeated

The second letter can be chosen from 25 letters in 25 ways

Similarly, the third letter can be chosen from 25 letters in 25 ways

Similarly, the fourth letter can be chosen from 25 letters in 25 ways

<u><em>Therefore, the total number of ways are:</em></u>

\rightarrow 7 \times 25 \times 25 \times 25 \times 25 = 7 \times 25^4\\\\ \rightarrow 2734375

Thus 2734375 employee ID codes can be generated

3 0
3 years ago
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