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Lana71 [14]
3 years ago
12

There are two numbers which sum to 16. If one number is eight less than three times the other, find the numbers.

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Answer: the two numbers are 6 and 10

Step-by-step explanation:

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Graph the solution set of this inequality: 5x − 4y > 20.
Yanka [14]

Answer:

Step-by-step explanation:

Solve the inequality 5x − 4y > 20 for y, as follows:  Subtract 5x from both sides, obtaining:

-4y > 20 - 5x;

Then divide all terms by -4:

y    < -5 +(5/4)x, where the direction of the inequality sign has been reversed because of division by a negative quantity.

Temporarily replace the < symbol with =     obtaining    y = -5 +(5/4)x.  Now choose at least three x values and find the corresponding y values.  For example:

 x      y = -5 +(5/4)x  

 0          -5

 4            0

 -8         -15

Now plot these three points (0, -5), (4, 0) and (-8, -15).  Draw a dashed line through them.  Because of the < symbol in y    < -5 +(5/4)x, shade the area underneath the dashed line.

3 0
3 years ago
Evaluate the expression 5x-3x for x = 2
Fantom [35]
-------------------------------------
Expression 
-------------------------------------
5x - 3x

-------------------------------------
Substitute x = 2
-------------------------------------
5 (2) - 3(2)
= 10 - 6
 = 4

-------------------------------------
Answer: 4
-------------------------------------
6 0
3 years ago
Read 2 more answers
A newspaper article states that 90% of drivers in Iowa wear their seatbelt. Suppose we are interested in estimating the proporti
konstantin123 [22]

Answer:

The sample size is  n  = 3457

Step-by-step explanation:

From the we are told that

  The population proportion is  p =  0.90

  The margin of error is  E =  0.01  

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally the sample size is mathematically represented as

       n  =[  \frac{ Z_{\frac{\alpha }{2} }  }{E} ]^2 * p(1-p)

=>  n  =[  \frac{ 1.96  }{0.01} ]^2 * 0.90(1-0.90)

=>   n  = 3457

8 0
3 years ago
These triangles
Naily [24]

Answer:

Is this a complete question?

5 0
3 years ago
I really need help right now someone help pls!!!
Ray Of Light [21]
The answer would be 120 degrees
5 0
3 years ago
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