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Svetllana [295]
3 years ago
15

Given -16 = m over 5 -18; prove m=10

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

- 16 =  \frac{m}{5}  - 18 \\  =  >  - 16 =  \frac{m - 18 \times 5}{5}  \\  =  >  -16 \times 5 = m - 90 \\  =  >  - 80 = m - 90 \\  =  >  - 80 + 90 = m \\  =  > 10 = m \\  =  > m = 10
Hence provided
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6 times the sum of a number and 5 is 16
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Which of the following systems of inequalities represents the graph?
mixer [17]

Answer:

Option D.

Step-by-step explanation:

Consider the below figure attached with this question.

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is

y-0=\frac{4-0}{0-(-2)}(x-(-2))

y=2(x+2)

y=2x+4

-2x+y=4

All area above the solid line is shaded. It means the sign of inequality is ≥.

-2x+y\geq 4

From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is

y-0=\frac{2-0}{0-(2)}(x-(2))

y=-1(x-2)

y=-x+2

x+y=2

All area below the dashed line is shaded. It means the sign of inequality is <.

x+y

System of inequality is

-2x+y\geq 4

x+y

Therefore, the correct option is D.

5 0
3 years ago
You have $55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. how much buying power in
lianna [129]
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<span>Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring) </span>

<span>Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100 </span>

<span>How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise, prices are going up faster than you're saving. </span>

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<span>How much buying power did you lose? The difference between your required interest and your actual interest. </span>
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6 0
3 years ago
Read 2 more answers
ZB is 3x-5 BA is x+3
Akimi4 [234]
If B is the midpoint of ZA, then ZB = <span>BA
</span>3x-5 = <span>x+3
3x - x = 3 + 5
2x = 8
x = 8/2
x = 4

</span>ZA = ZB + BA
      =  3x-5 + x+3
      = 3*4 - 5 + 4 + 3
      = 12 - 5 + 7 
      = 14

Answer: <span>D. 14</span>
3 0
3 years ago
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