All categories

3 years ago

Write and solve an equation based off the verbal phrase. The sum of x and 9 is divided by 2. That quantity is equal to 3x.

1 answer:

6 0

Start with the sum of x and 9, giving the expression
$x + 9$
This is divided by 2 so
$\frac{x + 9}{2}$
This equals 3x so the equation is
$\frac{x + 9}{2} = 3x$
This can the be solved.
Multiply both sides by 2 to get
$x + 9 = 6x$
Then take x from both sides
$9 = 5x$
Divide by 5 to get the value for x
$1.8 = x$

You might be interested in

A van and a bicycle move towards each other. The speed of the van is 80 km per hour, and the speed of the bike is 20 km per hour

otez555 [7]

-- :

Bike > ________300km_________< Van

20km/h 80km/h

In one hour, the bike will have moved 20km and the van would have moved 80km.

The distance between them was 300km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

300km-(20km+80km) = 200km

So now the distance between them is 200km.

Now another hour passes. The distance between them was 200km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

200km-(20km+80km) = 100km

So now the distance between them is 100km

Now another hour passes. The distance between them was 100km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

100km-(20km+80km) = 0km

So now the distance between them is 0km, which means they have met. If we count, it took them 3 hours.

Step 1)

Add both speeds. 20km+80km=100km

Step 2)

Total distance between them = 300km

So do 300km/100km = 3hours.

______

The solution is: .

————

Hope this helped!

4 0

3 years ago

Z to the power of 2 =1

stiv31 [10]

That would be written as:

$z^{2} = 1$

And the step-by-step equation would be:

$z^{2} = 1$ → we take the 2 to the right side of the equation and do the IO*

$z = \sqrt{1}$ →we solve for $\sqrt{1}$

$z = 1$ → final answer

*Ps - IO is not an existing term and stands for inverse operation. In this case, because when we take to 2 to the right side of the equation (the 2 is a power) it'll have to turn into a square root (because exponents and roots are inverse operations)

Hope it helped,

BioTeacher101

3 0

3 years ago

What is the value of a=20?

schepotkina [342]

Answer:

is there a pic

Step-by-step explanation:

i will edit when there is a picture or prolem

4 0

3 years ago