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Irina-Kira [14]
3 years ago
8

Solve the equation below showing all steps. 3/4 (x + 3) = 9

Mathematics
2 answers:
saul85 [17]3 years ago
7 0

Answer:

x=9

Step-by-step explanation:

3/4(x+3)=9

3/4x+2 1/4=9

3/4x=6 3/4

x=9

Hope this helped :)

Arturiano [62]3 years ago
3 0

Answer:

9

Step-by-step explanation:

3(x+3) =9/4

3(x+3)=9×4

3(x+3)=36

x+3= 3/36

x+3=12

x=12−3

x=9

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If there are 52 cards in a deck with four suits (hearts, clubs, diamonds, and spades), how many ways can you select 5 diamonds a
Luba_88 [7]

Answer:

12C5 *(12C3) = 792*220 =174240 ways

Step-by-step explanation:

For this case we know that we have 12 cards of each denomination (hearts, diamonds, clubs and spades) because 12*4= 52

First let's find the number of ways in order to select 5 diamonds. We can use the combinatory formula since the order for this case no matter. The general formula for combinatory is given by:

nCx = \frac{n!}{x! (n-x)!}

So then 12 C5 would be equal to:

12C5 = \frac{12!}{5! (12-5)!}=\frac{12!}{5! 7!} = \frac{12*11*10*9*8*7!}{5! 7!}= \frac{12*11*10*9*8}{5*4*3*2*1}=792

So we have 792 was in order to select 5 diamonds from the total of 12

Now in order to select 3 clubs from the total of 12 we have the following number of ways:

12C3 = \frac{12!}{3! 9!}=\frac{12*11*10*9!}{3! 9!} =\frac{12*11*10}{3*2*1}=220

So then the numbers of ways in order to select 5 diamonds and 3 clubs are:

(12C5)*(12C3) = 792*220 =174240 ways

3 0
3 years ago
Consider the baggage check-in process of a small airline. Check-in data indicate that from 9 a.m. to 10 a.m., 220 passengers che
lakkis [162]

Answer:

The passengers have an average of 8.15 minutes to wait in line

Step-by-step explanation:

Using Little's law

Average Inventory = Average Flow Time * Average Flow Rate

Average Inventory = 220 passengers

Average Flow Rate = 27

Average Flow time =?

So,

220 = Average Flow Time * 27

Average Flow Time = 220/27

Average Flow Time = 8.14814814814

Average Flow Time = 8.15 --------- Approximated

So the average wait time for a passenger is 8.15 minutes

6 0
4 years ago
I need help please ????!!!!
allsm [11]

Answer:

x= -13

Step-by-step explanation:

because 2 squared is 4 and -13 + 4= -9

3 0
3 years ago
Could someone please help me & explain?
atroni [7]

Answer:

No.

Step-by-step explanation:

Let's substitute the given coordinate pair into each inequality:

y > 2x+6\\-4 > 2(-5)+6\\-4 > -10+6\\-4 > -4\rightarrow\text{Not true!}

Since this coordinate pair does not satisfy the inequality (note the coordinate pair must satisfy BOTH inequalities), therefore (-5, -4) is not a solution to this system of inequalities.

8 0
3 years ago
Write the number 1, 256 in expanded form.
FrozenT [24]

Answer:

1,000 + 200 + 50 + 6

4 0
3 years ago
Read 2 more answers
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