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4 years ago

What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?

Mathematics

2 answers:

sergeinik [125]4 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

Nata [24]4 years ago

3 0

Answer:

x=4

Step-by-step explanation:

1.5(x + 4) - 3 = 4.5(x - 2)

Distribute

1.5x + 6 -3 = 4.5x - 9

Combine like terms

1.5x +3 = 4.5x -9

Subtract 1.5x from each side

1.5x -1.5x +3 = 4.5x -1.5x-9

3 = 3x-9

Add 9 to each side

3+9 = 3x-9+9

12 =3x

Divide each side by 3

12/3 = 3x/3

4=x

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P^3×q^2(p^4×q^n×r^3/r^-4)=p^7q^5r^7 <br><br> What does n=

Juli2301 [7.4K]

Answer:

$n = 3$

Step-by-step explanation:

Given:

The equation given is:

$p^3q^2(p^4q^n\times \frac{r^3}{r^{-4}})=p^7q^5r^7$

We simplify the given equation using the following law of indices:

$a^m\times a^n=a^{m+n}\\\frac{a^m}{a^n}=a^{m-n}$

Therefore,

$p^{3+4}q^{n+2}\times r^{3-(-4)})=p^7q^5r^7\\p^7q^{n+2}r^7=p^7q^5r^7\\q^{n+2}=q^5$

Since the base on both the sides is same, therefore, their exponents must also be same. This gives,

$n+2=5\\n=5-2\\n=3$

Therefore, the value of 'n' is 3.

5 0

3 years ago

What is the LCM of the numbers 4, 5, and 10? 40 30 20 10

makkiz [27]

It is 20

Prime factorisation

2/4,5,10

2/2,5,5

5/1,1,1

2×2×5=20

4 0

3 years ago

GUYS I NEED HELP ASAP

vovangra [49]

Answer:

$A=2400ft$

Step-by-step explanation:

A rectangle is a closed planer quadrilateral with four right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:

$Perimeter=w+h+w+h=2w+2h\\\\Where:\\\\w=Width\\h=Height$