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Alchen [17]
3 years ago
10

15/4 - 7x = 9 pls answer step by step fast

Mathematics
2 answers:
patriot [66]3 years ago
4 0

15/4-7x= 9

Move 15/4 to the other side. Sign changes from +15/4 to -15/4

15/4-15/4-7x= 9-15/4

-7x=9-15/4

Find the common denominator for 9 which is 4. Multiply by 4 .

9(4)= 36

36/4-15/4= 21/4

-7x= 21/4

Multiply by -1/7x on both sides

-7(-1/7)x= 21/4(-1/7)

Cross out 21 and -7 , divide by 7

21/7=3

-7/7=-1

3/4*-1/1= -3/4

Answer: -3/4

Ad libitum [116K]3 years ago
3 0

Answer:

x = - \frac{3}{4}

Step-by-step explanation:

Multiply through by 4 to clear the fraction

15 - 28x = 36 ( subtract 15 from both sides )

- 28x = 21 ( divide both sides by - 28 )

x = \frac{21}{-28} = - \frac{3}{4}

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Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a play. For this problem, assume 9
sweet-ann [11.9K]

Answer: 1) 6300 ways

2) 2520 ways

3) 0.067

Step-by-step explanation:

For this problem, assume 9 males audition, one of them being Winston, 5 females audition, one of them being Julia, and 6 children audition. The casting director has 3 male roles available, 1 female role available, and 2 child roles available.

How many different ways can these roles be filled from these auditioners?

Available: 9M and  5F and 6C

Cast: 3M and 1F and  2C

As it is not ordered: C₉,₃ * C₅,₁ * C₆,₂

C₉,₃ = 9!/3!.6! = 84

C₅,₁ = 5!/1!.4! = 5

C₆,₂ = 6!/2!.4! = 15

C₉,₃ * C₅,₁ * C₆,₂ = 84.5.15 = 6300

How many different ways can these roles be filled if exactly one of Winston and Julia gets a part?

2 options Winston gets or Julia gets it:

1) Winston gets it but Julia no:

8 male for 2 spots

4 females for 1 spot

6 children for 2 spots

C₈,₂ * C₄,₁ * C₆,₂

C₈,₂ = = 8!/2!.6! = 28

C₄,₁ = 4!/1!.3! = 4

C₆,₂ = 6!/2!.4! = 15

C₈,₂ * C₄,₁ * C₆,₂ = 28.4.15 = 1680

2) Julia gets it but Winston does not

8 male for 3 spots

1 female for 1 spot

6 children for 2 spots

C₈,₃ * C₆,₂

C₈,₃ = 8!/3!.5! = 56

C₆,₂ = 6!/2!.4! = 15

C₉,₃ * C₆,₂ = 56.15 = 840

1) or 2) = 1) + 2) = 1680 + 840 = 2520

What is the probability (if the roles are filled at random) of both Winston and Julia getting a part?

8 male for 2 spots

1 female for 1 spot

6 children for 2 spots

C₈,₂ * C₆,₂

C₈,₂ = = 8!/2!.6! = 28

C₆,₂ = 6!/2!.4! = 15

C₈,₂ * C₆,₂ = 28.15 = 420

p = 420/6300 = 0.067

6 0
3 years ago
The regular price of a stainless steel iron is $30.00. Today it is on sale for 40% off. What is the sale price?
vagabundo [1.1K]
The answer is $18.00 dollars. Have a nice day!
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3 years ago
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3 0
3 years ago
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patriot [66]
X + 60 = 100 (because they are vertical angles, which means that because they are directly opposite of each other, they are of the same measurements).

Solve for x. Isolate the x, subtract 60 from both sides

x + 60 = 100

x + 60 (-60) = 100 (-60)

x = 100 (-60)

x = 40

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Answer:

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It took 18 days for the plant to grow to 10 times its original height.

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