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scoundrel [369]
3 years ago
14

Of 48 orchestra members 30 are girls what ratio compares the number of boy to girls

Mathematics
1 answer:
ololo11 [35]3 years ago
3 0
You just simplify it down until to the point where you can't and it should be 3:5
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Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost
defon

Answer:

The cost of 1 gallon is $2.5

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Step-by-step explanation:

Given

Cost of 14 gallons = $35

Required

Determine the cost of 1 gallon

From the given parameters, we have:

14\ gallons = \$35

Divide both sides by 14

\frac{14\ gallons}{14} = \frac{\$35}{14}

1\ gallon = \frac{\$35}{14}

1\ gallon = \$2.5

Hence,

<em>The cost of 1 gallon is $2.5</em>

4 0
3 years ago
Sorry to waste time, but could you help? 5/3(4/3a+9b+2/3a) simplified, take your time! I’m not the best at math so :p
mixas84 [53]

Answer:

sorry I'm not that good at math either it's complicated

Step-by-step explanation:

5

3

(

4

3

⋅

5 0
3 years ago
HELP!!!! Which system of Linear inequalities is graphed?
wariber [46]
It is the tyhird one 
5 0
3 years ago
Read 2 more answers
Please I’ve attached the question can you help me
Andreyy89

Answer:

1. <em>n</em>[(A U B) - C] = {23, 24, 27, 29, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 61, 63}

2. <em>n</em>[(A - B) U C] = <em>n</em>[A U C] = {6, 10, 12, 15, 20, 23, 29, 30, 31, 37, 41, 43, 47, 53, 59, 60, 61}

3. D. I, II and III.

Step-by-step explanation:

U = {21, 22, 23, ..., 64}

A prime number is a number that can be divided only by 1 and itself.

A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

B = {24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63}

C = {6, 10, 12, 15, 20, 30, 60}

1. Find <em>n</em>[(A U B) - C]

<em>n</em>(A U B) = {23, 24, 27, 29, 30, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 60, 61, 63}

<em>n</em>[(A U B) - C] = {23, 24, 27, 29, 30, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 60, 61, 63} - {6, 10, 12, 15, 20, 30, 60}

Since only 30 and 60 are common to <em>n</em>(A U B) and C, we therefore remove them it and have:

<em>n</em>[(A U B) - C] = {23, 24, 27, 29, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 61, 63}

2. Find <em>n</em>[(A - B) U C]

To get <em>n</em>(A - B) we remove all the elements of B in A. Since there are no common elements between A and B, we therefore have:

A - B = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

C = {6, 10, 12, 15, 20, 30, 60}

Therefore, we have:

<em>n</em>[(A - B) U C] = <em>n</em>[A U C] = {6, 10, 12, 15, 20, 23, 29, 30, 31, 37, 41, 43, 47, 53, 59, 60, 61}

3. Which of the following is/are true?

I. A ∩ B = A ∩ C

A ∩ B = ∅

A ∩ C = ∅

Therefore, A ∩ B = A ∩ C is true.

II. A - B = A - C

A - B = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

A - C = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

Therefore, A - B = A - C is true.

III. A ∩ (B ∪ C) = ∅

A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

B U C = {6, 10, 12, 15, 20, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63}

Therefore, A ∩ (B ∪ C) = ∅ is true.

Therefore, the correct option is D i.e. I, II and III are true.

4 0
3 years ago
p varies directly as q and inversely as r. One set of values is p = 5, q = 1, and r = 2. Find p when q = 10 and r = 50.
Alexeev081 [22]
P = kq/r

5 = k*1/2
k = 2*5 = 10

p = 5*10/50 = 1
P is 1.

Hope it helps!
7 0
3 years ago
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