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zlopas [31]
3 years ago
7

A teacher has two students, one two times as old as the other. The teacher is five times as old as the older student, and in 5 y

ears she will be five times as old as her younger student. Find the teacher’s present age.
Mathematics
2 answers:
yuradex [85]3 years ago
8 0

Answer:

40 years

Step-by-step explanation:

kramer3 years ago
6 0
Let's call the younger student's age A and the older student's age B. The teacher's age will be T.

B = 2A
T = 5B
T+5 = 5(A+5)

Simplify the last equation.

T+5 = 5A+25
T = 5A+20

Now we have two equations solved for T, so we can set them equal to each other.

5B = 5A + 20

We can plug 2A in for B

5(2A) = 5A + 20

10A = 5A + 20

5A = 20

A = 4

To find T, we plug 4 in for A in T = 5A + 20

T = 5(4) + 20

T = 40

The answer is 40 years old.


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Nadusha1986 [10]

Answer:

218

Step-by-step explanation:

first find the area of the circle-

A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314

to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).

a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12

Now I know the height is 12. Find the area of the triangle

A=\frac{1}{2} bh\\A=\frac{1}{2} (16)(20)\\A=96

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Evaluate the expression(-3.8)+0+y for the given values of y.
11111nata11111 [884]

Answer:

y = -3.3 then  -7.1

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Step-by-step explanation:

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y = 1 then -3.8 + 1 = -2.8

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