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Roman55 [17]
3 years ago
12

The difference between two numbers is 78. Five times the smaller is equal to 6 more than the larger. What are the numbers?

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0
The larger number is 99. The smaller number is 21.

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Find the slope of the line that passes through (10,3) and (3,12).
Gnoma [55]

Answer:

-9/7

Step-by-step explanation:

slope \: of \: line  \\  \\ =  \frac{12 - 3}{3 - 10}  \\  \\  =  \frac{9}{ - 7}  \\  \\  =   - \frac{9}{7}

5 0
3 years ago
Help me plsssssssszzzzzzzzzzzzzzzzz
katen-ka-za [31]

Answer:

  750 < p < 1500

Step-by-step explanation:

The total cost of the affair for p attendees is ...

  750 +2.25p

The average cost is that number divided by p. The answer choices suggest that "between" means that the cost per person cannot be 2.75 or 3.25. Applying the limits to the average cost, we get ...

  2.75 < (750 +2.25p)/p < 3.25

  2.75 < 750/p + 2.25 < 3.25 . . . . . . . . separating the fraction parts

  0.50 < 750/p < 1.00 . . . . . . . . . . . . . . subtract 2.25

  2 > p/750 > 1 . . . . . . . . . . . . . . . . . . . . . take the reciprocal*

  1500 > p > 750 . . . . . . . . matches choice 4

_____

* Taking the reciprocals of numbers with the same sign reverses their order:

  2 < 3   but   1/2 > 1/3

__

An alternate approach to the solution would be to multiply by p:

  0.50p < 750 < 1.00p

To solve this requires it be made into two inequalities:

  0.50p < 750   ⇒   p < 1500

and

  750 < 1.00p   ⇒   750 < p

Then these would need to be recombined to form the answer:

  750 < p < 1500

8 0
3 years ago
Cos(0.5)+cos(0.5+2(3.14159265))+cos(0.5+4(3.14159265))
aleksandr82 [10.1K]

Answer:

2.63274768567

Step-by-step explanation:

First, note that 3.1415... is p, so 2(3.1415...) is 2pi and 4(3.1415...) is 4pi.

2pi and 4pi are full rotations, which will lead to the same cosine (i.e. cos(x) = cos (x+2pi) = cos(x+4pi) = ... = cos (x+2k*pi)).

So, the expression equals cos0.5 + cos 0.5 + cos0.5 = 3cos0.5 = 3(0.87758256189) = 2.63274768567

I hope this helps! :)

7 0
3 years ago
Solve the system of inequalities. (Note: you may need to adjust your scale on the coordinate plane.) Show work
Mars2501 [29]

Answer:

Step-by-step explanation:

8 0
2 years ago
5. Which graph shows a line with the same y-intercept as the graph of 10x-16y=-40?
Aleksandr-060686 [28]

Answer: B

Step-by-step explanation:

8 0
2 years ago
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