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nevsk [136]
3 years ago
11

Solve the equation using the distributive property and properties ofequally 1/2 (x+6)=18 what is the value of X

Mathematics
1 answer:
Natali [406]3 years ago
7 0

x = 30

The distributive property says that we need to multiply what's in the brackets by 1/2 (so 1/2*x and 1/2*6) to get the equation 1/2x + 3 = 18.

Then we need to subtract our constant, 3, from boths sides to get 1/2x = 15.

Multiply both sides by two to isolate x and you get x = 30.

Hope this helps! :)

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The answer to this question is:

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4 0
3 years ago
When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a ra
Sergeu [11.5K]

Answer:

r=\sqrt{10}\text{ m}

Step-by-step explanation:

We have been given that when a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. We are asked to find the approximate radius of tank in meters.

We will use volume of cylinder formula to solve our given problem as:

V=\pi r^2h, where,

r = Radius,

h = Height of cylinder.

Since the level of water in the tank rises at a rate of 0.7 meters per hour, so height of cylinder would be h = 0.7 meters at V=22\text{ m}^3.

Upon substituting these values in above formula, we will get:

22\text{ m}^3=\frac{22}{7}\cdot r^2(0.7\text{ m})

22\text{ m}^3=\frac{22}{10}\cdot r^2\text{ m}

\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}=r^2

r^2=\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}

r^2=10\text{ m}^2

Now, we will take positive square root of both sides as radius cannot be negative.

\sqrt{r^2}=\sqrt{10\text{ m}^2}

r=\sqrt{10}\text{ m}

Therefore, radius of tank would be approximately square root of 10 m.

5 0
3 years ago
How does the exponential function f(x) = 2 · 3^x + 4 appear as a graph?
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13

Step-by-step explanation:

Distance between two points =  

√ ( 1 − 6 ) 2 + ( 14 − 2 ) 2  =

√ ( − 5 ) 2 + 12 2 =  

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√ 169

= 13

6 0
3 years ago
If money in a savings account earned 8% interest per annum, how much nterest would be earned on $150.00 over three years?
Pani-rosa [81]

Answer:

$36

Step-by-step explanation:

Given :

Interest rate, r = 8% = 0.08

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Time, t = 3 years

Simple interest = (principal * rate * time)

Simple interest = (150 * 0.08 * 3)

Simple interest = $36

7 0
3 years ago
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