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serious [3.7K]
2 years ago
7

If there are 32 boys and 16 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Mathematics
2 answers:
scZoUnD [109]2 years ago
7 0
Im guessing it’s 1:2 im sorry if it’s wrong !!
Flauer [41]2 years ago
4 0

Answer:

1)   1:2

 

2)   2:4  

3)   4:8  

4)   8:16  

5)   16:32

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I don’t understand the question and I can’t find anything in my notes to help
lara [203]

Step-by-step explanation:

The problem states that you have a linear function so expect your equation to have this form:

y = mx + b

where m is the slope and b is the y-intercept. You are also given two points: P1(5, 6) and P2(14, 60). Use these points to solve for the slope m.

m = (y2 - y1) / (x2 - x1) = (60 - 6)/(14 - 5)

= 54/9 = 6

So our equation now becomes

y = 6m + b

To solve for b, plug in the values of P1:

6 = 6(5) + b ---> b = -24

Therefore, our equation is

y = 6m - 24

The rest of the points are

(8, 24)

(11, 42)

7 0
2 years ago
The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Fantom [35]

Answer:

  (4)  5 m

Step-by-step explanation:

You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.

<h3>Volume</h3>

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the base:

  B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle

Using these formulas together, we have ...

  V = 1/2(2.5 m)(2 m)x

  12.5 m³ = 2.5x m²

Dividing by 2.5 m², we find x to be ...

  (12.5 m³)/(2.5 m²) = x = 5 m

The dimension labeled x has length 5 meters.

6 0
11 months ago
Find the length of side AB in the right triangle shown.
Bogdan [553]
Side AB is 72 cm long.



Explanation:

To find the length of side AB you have to use this formula:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

*Remember there are two legs (a and b) and a hypotenuse (c) on a triangle. The longest side will be the hypotenuse and the other two will be the legs. For this triangle the hypotenuse is side BC while the legs are sides CA and side AB.

Plug in the numbers into the equation.


{65}^{2}  +  {b}^{2}  =  {97}^{2}
For this triangle, you were given the hypotenuse (c) and one leg (a). To find the last length solve the equation and balance it so only b is left, like this:

4225 +  {b}^{2}  = 9409

9409 - 4225 = 5184

Soo...

{b}^{2}  = 5184

Then to get the side length, square root 5184.

\sqrt{5184}  = 72

So the length of the last side is 72 cm.
5 0
3 years ago
You are given 3 to 1 odds against tossing three tails with three​ coins, meaning you win ​$3 if you succeed and you lose ​$1 if
valentina_108 [34]

Step-by-step explanation:

  • To find the E(X) expected value, you come up with the different probabilities for each outcome
  • your set of outcomes after 3 tosses would be = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H is heads and T is tails
  • Each element has a probability of 1/8 so let x represent number of tails
  • Probability(x)=P(x)\\P(0)=\frac{1}{8} \\P(1)=\frac{3}{8} \\P(2)=\frac{3}{8} \\P(3)=\frac{1}{8}
  • The E(x)=Summation (x times P(x))
  • E(X)=(0)(0.125)+(1)(0.375)+(2)(0.375)+(3)(0.125)=1.5
  • Now which probability is 1.5 tails? None, so it is either 2 tails or 1 tails
  • So you can expect to lose money in 1 game
  • But as you play more games the probability of getting 3 tails becomes more and more likely, so you can expect to win in a 100 games
8 0
3 years ago
Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach h
Lyrx [107]
20 weeks long all you have to do is to 180\9
3 0
3 years ago
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