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adoni [48]
2 years ago
10

On Planet Galactica, common units of distance are alpha, beta, and gamma. 4 gammas equal 5 betas. 2 betas equal 3 alphas. How ma

ny alphas equal 1 gamma?
Mathematics
1 answer:
Ghella [55]2 years ago
3 0

Answer:

1 gamma = 15/8 alphas

Step-by-step explanation:

so we start by finding out what 1 gamma and 1 beta equals.

we know 4 gammas = 5 betas so if we divide by four on both sides we get:

1 gamma = 5/4 betas. we can apply that same procedure to 2 betas = 3 alphas and get 1 beta = 3/2 alphas

we know that 1 gamma = 5/4 betas and 1 beta = 3/2 alphas so how many alphas = 5/4 betas? using a proportion of ((3/2)/1) = ((x)/(5/4)) we can find that 5/4 betas = 15/8 alphas

therefore we know 1 gamma = 15/8 alphas or 1 and 7/8 alphas

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There are 42 citizens called for jury duty. Eleven are randomly chosen to for the interview phase. How many different ways can t
Sunny_sXe [5.5K]

The quick way to get the answer is just type "42 choose 11" into Google.

Or if you want to figure it out yourself, you have 42 choices for the first potential juror, 41 choices for the second potential juror, etc.

Now before you stop there, you only care about the combination of the 11 people chosen, not what order they are selected, so you need to divide by the ways to arrange 11 people.

Final expression:

C(42,11) = (42 * 41 * 40 * 39 * 38 * 37 * 36 * 35 * 34 * 33 * 32) / (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

Answers:

4,280,561,376 ways

4 0
3 years ago
Read 2 more answers
Write <br> 40<br> as a product of prime factors.
neonofarm [45]
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3 0
3 years ago
Read 2 more answers
Prove that 3:8 is equivalent to 12:32
Julli [10]
3 times 4 is equal to 12
8 times 4 is equal to 32
therefore 3:8 is equal to 12:32
hope this helps
3 0
3 years ago
Peter purchased 14 new baseball cards for his collection. This increased the size of his collection by 35%. How many baseball ca
Vlad [161]

Answer:

<em>Peter now has 54 baseball cards</em>

Step-by-step explanation:

<u>Percentages</u>

Assume Peter had x baseball cards in his collection. The 35% of his initial collection is

35 * x / 100= 0.35x

We know that those 14 new baseball cards represent a 35% of his previous collection, therefore we can set a simple equation

0.35x=14

When we solve for x, we'll know how many baseball cards Peter had before

x=14 / 0.35 = 40

Peter had 40 cards, he added 14 new baseball cards, so he now has 40+14=54

Peter now has 54 baseball cards

8 0
3 years ago
10 children equally share 40 almonds <br> How many almonds will 3 children get
pochemuha
The answer is 12

Explanation:

First for this you need to find out how much each child gets

(40 divided by 10)
Each child gets 4 almonds.

If 3 children put their almonds together they will have 12.

(3 times 4)

Brainliest my answer if it helps you out
3 0
2 years ago
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