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3 years ago

How many different ways can 3 singers be selected from 5 who came to an audition

Mathematics

1 answer:

abruzzese [7]3 years ago

5 0

This is known as "5 take 3", where ordering is not important.

$\binom{5}{3} = \frac{5!}{3!(5-3)!} = \frac{120}{6\cdot2} = 10$

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4(x+9)=8x-7<br> Solve for x

valentina_108 [34]

Answer:

x = 10.75

Step-by-step explanation:

4(x+9)=8x-7

Step 1: Distribute the 4 to the x and 9

4 * x = 4x

4 * 9 = 36

We now have 4x + 36 = 8x - 7

Step 2: add 7 to both sides

36 + 7 = 43

-7 + 7 cancels out

We now have 4x + 43 = 8x

Step 3 subtract 4x from both sides

4x - 4x cancels out

8x - 4x = 4x

We now have 4x = 43

step 4 divide both sides by 4

4x / 4 ( the 4s cancel out and we're left with x )

43/4 = 10.75

We're left with x = 10.75

3 0

2 years ago

The answers to this question cousin

podryga [215]

If R is between Q and S then QR+RS=QS

given
QR=x+4
RS=3x-1
and QS=27

x+4+3x-1=27
combine like terms
4x+3=27
minus 3 both sides
4x=24
divide both sides by 4
x=6

sub back
QR=x+4
QR=6+4
QR=10

RS=3x-1
RS=3(6)-1
RS=18-1
RS=17

x=6
QR=10
RS=17

3 0

3 years ago

Rita owed her brother $15. After her birthday, she was able to pay him back and still have $45. How much money did Rita receive

kipiarov [429]

I’m stuck in the same one!!

Step-by-step explanation:

6 0

3 years ago

What is the quotient of 525 divided by 15

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Answer this please, thank you !

vesna_86 [32]

Answer:

m∠ADC=55°

Step-by-step explanation:

step 1

Find the value of x

we know that

m∠CDE+m∠EDF=180° ----> by supplementary angles (form a linear pair)

substitute the given values

$(2x+1)\°+(x-7)\°=180\°$

solve for x

$2x+x=180+6$

$3x=186$

$x=62$

step 2

Find the measure of angle ∠ADC

we know that

m∠ADC=m∠EDF ----> by vertical angles

m∠EDF=(x-7)°

substitute the value of x

m∠EDF=(62-7)°=55°

therefore

m∠ADC=55°

8 0

3 years ago