MATHEMATICS HIGH SCHOOL

19 of the 23 participants in a triathlon are men and the rest are women. What is the ratio of the number of women participating to the total number of participants?

Answers

Answer 1
Answer:

Answer:

3:23

Step-by-step explanation:

If 19 of the 23 participants in a triathlon are men then that means there are 4 participants that are women

so the ration would be 4 women for the 23 participants
Answer 2
Answer:

Final Answer:

The ratio of the number of women participating to the total number of participants in the triathlon is 4:23.

Explanation:

In a triathlon, there are 23 participants in total, with 19 of them being men. To find the ratio of women to the total number of participants, we first need to determine the number of women participating.

To do this, subtract the number of men (19) from the total number of participants (23):

23 (total participants) - 19 (men) = 4 women

Now that we know there are 4 women participating, we can calculate the ratio:

Number of women : Total number of participants

4 : 23

So, the ratio of the number of women participating to the total number of participants is 4:23.

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A triangle has sides with lengths of 72 miles, 85 miles, and 36 miles. Is it a right triangle?

Answers

Answer:

Your answer is: No, it is not a right triangle

Step-by-step explanation:

We can use the Pythagorean theorem to determine if a triangle is a right triangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's label the sides of the triangle:

Side A = 72 miles

Side B = 85 miles

Side C = 36 miles

To check if it's a right triangle, we can compare the lengths of the sides using the Pythagorean theorem:

1. Calculate the squares of the lengths of Side A and Side B:

- A^2 = 72^2 = 5184

- B^2 = 85^2 = 7225

2. Calculate the square of the length of Side C:

- C^2 = 36^2 = 1296

3. Check if the sum of the squares of the two shorter sides (A^2 + B^2) is equal to the square of the longest side (C^2):

- A^2 + B^2 = 5184 + 7225 = 12409

- C^2 = 1296

Since A^2 + B^2 is not equal to C^2 (12409 ≠ 1296), we can conclude that the given triangle is not a right triangle.

A yogurt shop offers 3 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?A. 144

B. 36

C. 9

D. 1,320

Answers

3*12=36.  the answer is b

Answer: B. 36

Step-by-step explanation:

Tyler also wants to paint the walls of his home. He buys 6 packages of paint rollers, each of which contains 6 paint rollers. How many paint rollers are there in all? Write your answer as an exponential expression.

Answers

In the given statement, there are 6 packages of paint rollers wherein there are 6 paint rollers in each of the packages. This could be best express in exponential expression as 6 squared. This will then give us 36 paint rollers.

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(if you guys solve that I will put you brainlist and u will be my best number 1 math solving)

Answers

You x all the sides together and add the 2 numbers you get 

What is the solution to this system of equations x-3y=-2 x+3y=16

Answers

The solution to the system of equations x - 3y = -2 and x + 3y = 16 is x = 7 and y = 3.

Here, we have,

To solve the system of equations:

Equation 1: x - 3y = -2

Equation 2: x + 3y = 16

There are multiple methods to solve this system, such as substitution or elimination.

Here, we'll use the elimination method to eliminate the variable "x":

Add the two equations together:

(x - 3y) + (x + 3y) = -2 + 16

Simplifying, we get:

2x = 14

Divide both sides of the equation by 2:

2x/2 = 14/2

Simplifying further, we have:

x = 7

Now, substitute the value of x into either of the original equations (let's use Equation 1):

x - 3y = -2

Substituting x = 7, we get:

7 - 3y = -2

Solve for y:

Subtract 7 from both sides:

-3y = -2 - 7

-3y = -9

Divide both sides by -3:

y = -9 / -3

y = 3

Therefore, the solution to the system of equations x - 3y = -2 and x + 3y = 16 is x = 7 and y = 3.

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x- 3y = -2
x + 3y = 16
----------------add
2x = 14
x = 14/2
x = 7

x + 3y = 16
7 + 3y = 16
3y = 16 - 7
3y = 9
y = 9/3
y = 3

solution is : (7,3)

Solve the system by using a table.{-0.2x-0.3y=0.2{0.4x-0.3y=1.4a.)(2,2)b.) (2,-2)c.)(2,1)D.)(-2,2)

Answers

2, -2, 0.2, 1.4 <<<----- answer (2,-2) 
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