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Vilka [71]
3 years ago
7

Three times the sum of a number and seven,all divided by four

Mathematics
1 answer:
ASHA 777 [7]3 years ago
7 0

Answer:

3(x+7)/4

Step-by-step explanation:

Three times the sum of a number and 7 will be 3(x+7) because it is triple the amount of that unknown number plus seven and then after that we divide what we get from 3(x+4) and divide that by 4 which makes the equation 3(x+7)/4.

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Binomial theorem Expand (5 - y)3
Snowcat [4.5K]

Answer:

(5 - y) ^3 = 125 - 75y + 15y^2 - y^3

Step-by-step explanation:

Binomial expression

1

1. 1

1. 2. 1

1. 3. 3. 1 --------power of 3

( 5 - y) ^3

( 5 - y) (5 - y) (5 - y)

( a + b) ^3 = a^3 + 3a^2b + 3ab^2 + b^3

a = 5

b = -y

( 5 - y) ^2 = ( 5 - y) (5 - y)

= 5( 5 - y) - y(5 - y)

= 25 - 5y - 5y + y^2

=(25-10y+y^2)

( 25 - 10y + y^2)( 5 - y)

= 5(25 - 10y + y^2) - y( 25 - 10y + y^2)

= 125 - 50y + 5y^2 - 25y + 10y^2 - y^3

Collect the like terms

= 125 - 50y - 25y + 5y^2 + 10y^2 - y^3

= 125 - 75y + 15y^2 - y^3

7 0
3 years ago
According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability
Andru [333]

Answer:0.001

x=the number of workers taking the bus to work

p= probability of success =(15/100) = 0.15

q= probability of failure =1- p = 0.85

P(X=6) = 10C6(0.15)^6(0.85)^4

            = 0.001

4 0
3 years ago
Read 2 more answers
Solve. 3(x-6)-2(2x+3)=14
coldgirl [10]

Answer:

x=-38

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)−2(2x+3)=14

(3)(x)+(3)(−6)+(−2)(2x)+(−2)(3)=14(Distribute)

3x+−18+−4x+−6=14

(3x+−4x)+(−18+−6)=14(Combine Like Terms)

−x+−24=14

−x−24=14

Step 2: Add 24 to both sides.

−x−24+24=14+24

−x=38

Step 3: Divide both sides by -1.

−x

−1

=

38

−1

x=−38

5 0
3 years ago
Read 2 more answers
The solution of this question
nata0808 [166]

9514 1404 393

Answer:

  30°, 150°

Step-by-step explanation:

You know the answer to this because you have memorized the short table of trig function values.

  sin(θ) = 1/2 for θ = 30° and θ = 150°

5 0
3 years ago
154×35= can you show work
DochEvi [55]
The way to solve it is to put the 154 on top of 35 and multiply it to get the answer, 154 times 35 = 5390
5 0
3 years ago
Read 2 more answers
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