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malfutka [58]
3 years ago
10

Six people take part in a one hundred-metre sprint. In how many different ways is it possible for the first three prizes to be a

warded assuming there is not a
draw?
Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

120

Step-by-step explanation:

6P3

6!/(6-3)!

120

or:

6 choices for first spot × 5 choices for the second spot × 4 choices for the third spot

6x5x4 =120

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if joelle multiplied 792 by a positive integer and came up with a perfect square, what is the smallest integer she could have mu
antoniya [11.8K]
The positive integer is 22.
7 0
3 years ago
To increase an amount by 3% what single multiplier would you use?<br> thanks :)
KATRIN_1 [288]
X - an amount

x+3\%x=x+0.03x=1.03x

To increase an amount by 3% you can multiply the amount by 1.03.
4 0
2 years ago
100 POINTS
dusya [7]

Answer:

  • x = 28
  • 132°

Step-by-step explanation:

<u>The two marked angles must have same value as corresponding angles:</u>

  • 3x + 48 = 6x - 36
  • 6x - 3x = 48 + 36
  • 3x = 84
  • x = 28

<u>The angle measure:</u>

  • 3*28 + 48 = 132°
5 0
2 years ago
Read 2 more answers
Which is the following points is NOT a solution to the inequality y &gt; - x + 3? —a. ( -2,6)b. (5,-1)c. (2,0)d. (0,3)
CaHeK987 [17]

Given -

y > - x + 3

To Find -

The points which is NOT a solution to the inequality

Step-by-Step Explanation -

We will put the value of each in inequality and then see if it satisfies the given condition or not.

a. ( -2,6)

So, x = -2 and y = 6 in y > - x + 3

= 6 > - (-2) + 3

= 6 > 5 (Correct Solution)

b. (5,-1)

So, x = 5 and y = -1 in y > - x + 3

= -1 > -5 + 3

= -1 > -2 (Correct Solution)

c. (2,0)

So, x = 2 and y = 0 in y > - x + 3

= 0 > -2 + 3

= 0 > 1 (Incorrect Solution)

d. (0,3)

So, x = 0 and y = 3 in y > - x + 3

= 3 > -0 + 3

= 3 > 3 (Incorrect Solution)

Final Answer -

The points which is NOT a solution to the inequality =

c. (2,0)

d. (0,3)

3 0
9 months ago
Trapezoid A'B'C'D' is the image of trapezoid ABCD under a rigid transformation.
lana [24]

Answer:

Step-by-step explanation:

a). Trapezoid ABCD has one acute angle, one obtuse angle and two right    angles.

   Since, angle B is an acute angle, mark the vertex A' having acute angle.

   Similarly, Obtuse angle A' for A and other vertices.

b). Rigid transformation doesn't change the size and shape of the image.

    Therefore, all angles and measure of sides of ABCD will remain unchanged.

   Measure of angle A' = 130°, m∠B' = 50°

   m(A'D') = m(AD) = 6 units

   m(C'D') = m(CD) = 4 units

3 0
2 years ago
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