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gregori [183]
3 years ago
5

Ed is 7 years older than Ted.Ed's age is also 3/2 times Ted's age.How old is Ed and Ted

Mathematics
2 answers:
My name is Ann [436]3 years ago
3 0
x-Ted's\ age\\x+7-Ed's\ age\\\\x+7=\dfrac{3}{2}x\ \ \ |subtrac\ 7\ from\ both\ sides\\\\x=\dfrac{3}{2}x-7\ \ \ |subtract\ \frac{3}{2}x\ from\ both\ sides\\\\-\dfrac{1}{2}x=-7\ \ \ |multiply\ both\ sides\ by\ (-2)\\\\\boxed{x=14}\leftarrow\ Ted's\ age\\\\14+7=\boxed{21}\leftarrow Ed's\ age
pochemuha3 years ago
3 0

Answer:

Ted is 14 years old, and Ed is 21 years old.

Step-by-step explanation:

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Shtirlitz [24]
There are .3 decimeters in 3 centimeters
7 0
3 years ago
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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

================================================

Explanation:

We have a triangle with these side lengths:

  • a = 10
  • b = 16
  • c = x = unknown

Let's assume that b = 16 is the largest side of this triangle.

By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

So,

b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

6 0
2 years ago
5) HELP I don't know what I got incorrect can you please give me the answer and the step by step, THANK YOU SO MUCH TYSM!!!
MariettaO [177]
Same as moren.. sorry
6 0
3 years ago
Read 2 more answers
PERSON WHO GETS IT RIGHT GETS BRAINLIEST
saul85 [17]

Step-by-step explanation:

Let x = number of games that Alex played

The total money that he spent C is given by

C = 2x + 15

If he spent $45, then we can write

45 = 2x + 15

Solving for x, we get

2x = 45 - 15 = 30 \Rightarrow x = 15

This means that Alex played 15 games.

4 0
2 years ago
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8-2x=5-4x<br> 4+3x=2-2x<br> 2(x-1)+2(3x-1)=0
vodka [1.7K]

Answer:

See the below part

Step-by-step explanation:

1)

8 - 2x = 5 - 4x

=> 8 - 5 = -4x + 2x

=> 3 = -2x

=> 3/-2 = x

=> -3/2 = x

2)

4 + 3x = 2 - 2x

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=> -2 = -5x

=> 2 = 5x

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3)

2(x - 1) + 2(3x - 1) = 0

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=> 8x - 4 = 0

=> 8x = 4

=> x = 4/8

=> x = 1/2

8 0
2 years ago
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