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Ludmilka [50]
3 years ago
13

The ratio of Rogers age to his sons is 7:3. If the sum of their ages are 60 how old is Rogers son

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

Answer:24

Step-by-step explanation:

Sum of their ages is 60 yr. As such

7x + 3x = 60

10x = 60

x = 60 / 10

x = 6

The rationale is 6, therefore

Father's age is 7x = 7 × 6= 42 years

Son's age is 3x = 3 × 6 = 18 years

Difference in their ages

42 - 18 = 24 years

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What is the midline equation of y = -4sin (2x - 7) + 3?
Georgia [21]

Answer:

y = 3.

Step-by-step explanation:

The minimum and maximum value of \sin(2\, x - 7) over all real x are (-1) and 1, respectively. Hence, the maximum and minimum value of y = -4\, \sin(2\, x - 7) + 3 would be:

  • Maximum: y = (-4)\, (-1) + 3 = 7.
  • Minimum: y = (-4)\, (1)\ + 3 = (-1).

The midline equation of a sine wave is a horizontal line that is right in the middle of maximum and minimum y-values of that sine wave. In the sine wave in this question, the average of the maximum and minimum y\!-values is (1/2) \, (7 + (-1)) = 3. Hence, the midline equation of this sine wave would be y = 3.

4 0
2 years ago
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Why should you diversify your investment portfolio?
professor190 [17]

The reason for diversification of one's investment portfolio is: C .It reduces the overall risk of your portfolio.

<h3>What Does Diversification of  Investment Portfolio Mean?</h3>

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5 0
2 years ago
South of the White House in Washington, D.C., is the President’s Park South, or the Ellipse, which hosts events such as the Whit
kari74 [83]
To answer this, we need to start with the standard equation for an ellipse:
(x^2/a^2)+(y^2/b^2)=1
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The problem states that one axis is 1057 ft, and the other is 880 ft, so divide these values by 2 and square them. This results in:
(x^2/279,312.25)+(y^2/193,600)=1
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4 years ago
Diego is solving the inequality 100 − 3x ≥ -50. He solves the equation 100 − 3x = -50 and gets x = 50. What is the solution to t
andre [41]

Answer:

x≤50

Step-by-step explanation:

100-3x≥-50

subtracting 100 at both side on inequality

-100+100-3x≥--50-100

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-3x/3≥-150/3

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Adding 50 on both sides

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