All categories

3 years ago

6( 5-8x) +12= -54

2 answers:

5 0

<span>6( 5-8x) +12= -54
30-48x+12=-54 this comes from distributing(multiplying) 6x5 and 6 times -8x
30+12-48x=-54 you have to add the coefficients 30+12
42-48x=-54
-42 -42
-----------------------
-48x=-96 divide by -48
x=2</span>

natita [175]3 years ago

4 0

You use the distributive property by distributing the 6 to 5 and -8x which gives you 30-48x+12=-54 then you subtract 30 and 12 from both sides to get -96 then divide by -48 to solve for x which gives you 2

You might be interested in

A group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250. The wholesale

stepladder [879]

Answer:

The required equilibrium point is (356.538,58.769)

Step-by-step explanation:

The two points on your demand equation are : (300,104) and (250,144)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the demand equation for the given problem, find slope using the above two points :

$\implies Slope=\frac{144-104}{250-300}\\\\\implies Slope = -\frac{4}{5}=-0.8$

And the y - intercept is : y = -0.8x + b

Find the value of b using any point. Let us take (250,144)

144 = -0.8 × 250 + b

⇒ b = 144 + 200

⇒ b = 344

So, the y-intercept is : y = -0.8x + 344

The two points on your supply equation are : (225,88) and (315,68)

Take the number of televisions on y-axis and the price of the television on x-axis

Now, to find the supply equation for the given problem, find slope using the above two points :

$\implies Slope=\frac{68-88}{315-225}\\\\\implies Slope = -\frac{2}{9}$

And the y - intercept is :

$y = -\frac{2}{9}x + b$

Find the value of b using any point. Let us take (225,88)

$88 = -\frac{2}{9}\times 225 + b\\\\\implies b = 88 + 50\\\\\implies b = 138$

So, the y-intercept is :

$y = -\frac{2}{9}x + 138$

To find the equilibrium point, solve both the y-intercepts of the demand equation and the supply equation :

⇒ x = 356.538 and y = 58.769

Hence, the required equilibrium point is (356.538,58.769)

8 0

3 years ago

List three ways o express 3 to the 5 power as a product of powers

tia_tia [17]

3 ways to express 3 to the 5th power as the product of powers First expression => 3 x 3 x 3 x 3 x 3 - In this expression, we multiplied 3 5 times and the product is 243 Second expression => 3 ^ 5, in where ^ read as raised to the power, the product is also 243 Third expression => 3^2 x 3^3 => (3 x 3) x (3 x 3 x 3) => 9 x 27, the product also equals to 243.

3 0

3 years ago

What is the value of 6 in 70,681? Explain how you know.

Dafna11 [192]

Answer:

it's 100

Step-by-step explanation:

70000

0000

600

I don't know if you understand

6 0

2 years ago

Write in exponential notation of 4x1000+9x100+0x10+7x1

Llana [10]

Answer

4000

900

Step-by-step explanation:

Not so sure about the answer though

5 0

3 years ago

Read 2 more answers

Plz show your work. Thx!! <br> 9m=6

grandymaker [24]

So first you would divide the 9 on both sides then 6 divided by 9 would be .6 repeating so m=.6 repeating.

5 0

3 years ago