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Scilla [17]
3 years ago
8

If 5/8 of the people in a water aerobics class are over age 65 and 1/4 of the people in the class are under age 40, what fractio

n of the people in the class are either over 65 or under 40?
Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

7/8

Step-by-step explanation:

You just need to add the two fractions together. Since no one can be both, no  other revision is needed.

5/8 + 1/4 = 5/8 + 2/8 = 7/8

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Find the general solution of (x+3)y’=2y
gregori [183]

Answer:

y=C(x+3)^2

Step-by-step explanation:

We are given:

\displaystyle (x+3)y^\prime=2y

Separation of Variables:

\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}

So:

\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx

Integrate:

\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx

Integrate:

\displaystyle \ln|y|=2\ln|x+3|+C

Raise both sides to e:

|y|=e^{2\ln|x+3|+C}

Simplify:

|y|=(e^{\ln|x+3|})^2\cdot e^C

So:

|y|=C|x+3|^2

Simplify:

y=\pm C(x+3)^2=C(x+3)^2

5 0
3 years ago
What is the General form of the parabola of (y-3)^2=6(x+8)
MatroZZZ [7]

Answer:

x = 1.5t^{2}  , y = 3 + 2at.

Step-by-step explanation:

For the parabola Y^{2} = 4aX ,

General form will be

(X = at^{2} , Y = 2at) ,

Thus , for the parabola (y-3)^{2} = 6(x +8)

Here , a = 1.5 and Y from the above equation should be substituted by y - 3 and X must be substituted by x + 8. After substitution of the same we can  use the general equation formula for this parabola also.

Thus , general equation comes out to be :-

x + 8 = 1.5t^{2} , y - 3 = 2at

x = 1.5t^{2}  , y = 3 + 2at.

4 0
3 years ago
3yd 4yd what is the length of the hypotenuse
hjlf

Answer:

5 yd

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² + altitude²

                      = 3² + 4²

                       = 9 + 16

                       = 25

Hypotenuse = √25 = √5*5 = 5 yd

6 0
3 years ago
If the graph of a quadratic does not intercept the x axis at any point, then it has:
katrin [286]

Answer:

No real roots

Step-by-step explanation:

Roots of a quadratic are the x-intercepts of the graph

3 0
3 years ago
Rewrite in radical form. If the number is rational, write it without using radical<br> (81)^(−1/4).
vesna_86 [32]

Answer:

1/3

Step-by-step explanation:

simplify

81^(-1/4)

= 1/81^(1/4)

= 1/[3×3×3×3]^(1/4). (factorize 81)

= 1/[3]^(4/4)

= 1/3

6 0
3 years ago
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