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hjlf
3 years ago
11

A rectangle's length is 6 units greater than its width. write an equation expressing the rectangle's area, a, as a function of w

usatestprep
Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0
Let the width be w

Width = w
Length = w + 6
Area = a

a = w(w + 6)
a = w² + 6w

Answer: a = w² + 6w
andrew-mc [135]3 years ago
6 0
Width: w
length: w+6
Area: L x W

w(w+6)
A: w^2+6w
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Step-by-step explanation:

6 0
3 years ago
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6. Find the sum or difference<br> 1/3(9 - 6m) + 1/4 (12m-8)
romanna [79]

Answer:

m+1

Step-by-step explanation:

1/3(9 - 6m) + 1/4 (12m-8)

Distribute

1/3 *9  - 1/3 *6m  + 1/4 * 12m - 1/4 *8

3 -2m + 3m -2

Combine like terms

-2m+3m +3-2

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6 0
3 years ago
Find the number of four-digit numbers which are not divisible by 4?
SOVA2 [1]

Answer:

6750

Step-by-step explanation:

4 digit numbers are 1000,1001,1002,...,9999

let numbers=n

d=1001-1000=1

9999=1000+(n-1)1

9999-1000=n-1

8999+1=n

n=9000

now let us find the 4 digit numbers divisible by 4

4| 1000

______

| 250

4 |9999

  _____

  | 2499-3

9999-3=9996

so numbers are 1000,1004,1008,...,9996

a=1000

d=1004-1000=4

let N be number of terms

9996=1000+(N-1)4

9996-1000=(N-1)4

8996=(N-1)4

N-1=8996/4=2249

N=2249+1=2250

so number of 4 digit numbers not divisible by 4=9000-2250=6750

3 0
3 years ago
John is gliding along on his scooter at a speed of 2.8 m/s when
user100 [1]

Answer:

18.67 m/s²

Step-by-step explanation:

a = ∆v/ t

a= v - u/t

a = 2.8 - 0 / 0.15

a = 2.8 / 0.15

a = 18.67 m/s²

3 0
3 years ago
Bobby wants to go on a school trip that will cost him $250. He comes up with an equation that represents how much he needs to sa
monitta
Yes, Bobby will have enough money if he saves for 9 weeks. You can find this through either substituting w for 9 in the equation, or solving the equation itself. 

Substituting:

25(9)+30
Substitute w for 9. 

225+30
Simplify. 

225+30=255
Solve. 

255 is greater than 250, so yes, he will have enough money saved. 


Solving the equation:

25w+30=250
Original Equation

25w=220
Subtract 30 from both sides. 

w=8.8
Divide both sides by 25. 

The number of weeks he needs is 8.8. When rounding it up, you get 9. 


4 0
3 years ago
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