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stich3 [128]
3 years ago
7

The ratio of girls to boys competing at a gymnastics competition was 2 to 1 there were 75 kids participating in the competition.

How many boys were in this competition?
Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

  25 boys

Step-by-step explanation:

1 of 3 kids was a boy, so (1/3)·75 = 25 were boys.

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Artyom0805 [142]

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Factor the expression completely. 1/4x + 19/4
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Answer: i think it is... x = -19

8 0
3 years ago
The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines
miv72 [106K]

Answer:

  ∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

  ∠RSU +∠UST = ∠RST

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  78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

  54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

  108 = 6x . . . . . . . . . . . multiply by 2

  120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

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<em>Additional comment</em>

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.

7 0
2 years ago
Please help properties of exponents
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Answer:

Step-by-step explanation:

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3 0
3 years ago
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Triangular Number Sequence

This is the Triangular Number Sequence:

<span>1, 3, 6, 10, 15, 21, 28, 36, 45, ...</span>

This sequence comes from a pattern of dots that form a triangle:

By adding another row of dots and counting all the dots we can 
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A Rule

We can make a "Rule" so we can calculate any triangular number.

First, rearrange the dots (and give each pattern a number n), like this:

Then double the number of dots, and form them into a rectangle:

<span><span>The rectangles are n high and n+1 wide</span><span>and <span>xn</span> is how many dots in the triangle (the value of the Triangular Number n)</span></span>

And we get (remembering we doubled the dots):

<span>2xn = n(n+1)</span><span>xn = n(n+1)/2</span>

<span>Rule: xn = n(n+1)/2</span>

Example: the 5th Triangular Number is

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Example: the 60th is

x60 = 60(60+1)/2 = 1830

Wasn't it much easier to use the formula than to add up all those dots?

5 0
3 years ago
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