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torisob [31]
2 years ago
11

Alice and malice are twins. they have a brother bob who is 8 years older. if the sum of their ages is 23, find the ages

Mathematics
1 answer:
steposvetlana [31]2 years ago
3 0

Answer:

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

Step-by-step explanation:

Let x be the age (in years of Alice and Malice (They have the same age because they are twins).

Age of Bob: x+8  (because he is 8 years older than the twins).

Then the sum of their three ages is 23:

x (Alice's age) + x (Malice's age) +(x+8 ) (Bob's age)= 23

2x + ( x+8) = 23

3x+8 = 23

3x = 15

(3x)/3 = 15/3

x = 5

So ...

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

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You are riding the swings at a fair. What are the coordinates of your location after a rotation of 180°?
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Answer:

(6, -3)

Step-by-step explanation:

The actual coordinates are x = -6 and y = 3

If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.

So the final x-coordinate is - (-6) = 6

And the final y-coordinate is - (3) = -3

So the coordinates will be (6, -3).

5 0
4 years ago
Which is another way to write 7 × 10 = 70? A. 70 = 2 × 7 × 5 B. 70 = 2 × 7 × 10 C. 70 = 3 × 5 × 5 D. 70 = 3 × 4 × 10
Art [367]
The answer is A it is right
6 0
3 years ago
Read 2 more answers
5. What is the solution of |3x-3|_<18?
Mrrafil [7]
Answer : D

WORK...
|3x-3| \leq 18


PART 1:
3x-3 \leq 18
 add 3 on both sides... 3x \leq 21 divide by 3 on both sides... x \leq 7

PART 2:
3x-3 \geq -18  add 3 on both sides... 3x \geq -15
 divide 3 on both sides... x \geq -5

plug both answers together..
-5 \leq x \leq 7
8 0
3 years ago
Solve the inequality<br> 3/10 ≥ k - 3/5
balandron [24]

Answer:

The answer to your question is    k \leq  \frac{9}{10}   or    (-∞ , 9/10]                                      

Step-by-step explanation:

To solve inequality is similar to solve and equation, we just need to find the values of "k" in order than the inequality be true.

                                         k - \frac{3}{5} \leq  \frac{3}{10}

Solve for "k"

                                        k \leq  \frac{3}{10} + \frac{3}{5}

                                        k \leq  \frac{3}{10} + \frac{6}{10}

                                        k \leq  \frac{9}{10}

Then the answer is

                               k \leq  \frac{9}{10}   or    (-∞ , 9/10]                                      

8 0
4 years ago
Part A Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x', y
mylen [45]

The list attached shows the coordinate of (x, y) after transformation when reflecting over x, y-axis, and lines y = x, y = -x

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have two lines of reflection:

y = x and

y = -x

The point is (x, y)

After reflecting over line y = x the coordinate (x, y) becomes:

(y, x)

After reflecting over the line y = -x the coordinate (x, y) becomes:

(-y, -x)

Thus, the list attached shows the coordinate of (x, y) after transformation when reflecting over x, y-axis, and lines y = x, y = -x

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

7 0
2 years ago
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