3. Which ordered pair is a solution of the equation y=x-3?

-2x + 8 = 18 please help. What does x equal

kakasveta [241]

Answer:

x = -5

Step-by-step explanation:

Step 1: Write equation

-2x + 8 = 18

Step 2: Solve for x

Subtract 8 on both sides: -2x = 10
Divide both sides by -2: x = -5

Step 3: Check

Plug in x to verify it's a solution.

-2(-5) + 8 = 18

10 + 8 = 18

18 = 18

6 0

3 years ago

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Calculate the actual sales since the sales and sales tax were rung up together. Assume sales tax of 6% and total sales of $33,00

marta [7]

Answer:

the actual sales be $31,132

Step-by-step explanation:

The computation of the actual sales is as follows:

Let us suppose the actual sales be x

Now the sales tax be 0.06x

Now the total sales would be

x + 0.06x = $33,000

1.06x = $33,000

x = $33,000 ÷ 1.06

= $31,132

hence, the actual sales be $31,132

The same is to be considered by applying the above equation

8 0

3 years ago

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andrew-mc [135]

For the reaction,

$CO(g) + H_2 O(g) = CO_2(g) + H_2(g)$

Initial concentration:

0.1M , 0.1M , 0 , 0

Let 'x' mole per litre of each of theproduct be formed.

At equilibrium:

(0.1 – x)M , (0.1 – x)M , xM , xM

where x is the amount of Carbon dioxide and Hydrogen, at equilibrium.

Hence, equilibrium constant can be written as,

$K_c = \frac{x²}{(0.1 – x)²} = 4.24$

→ x² = 4.24 (0.01 + x² – 0.2x)

→ x² = 0.0424 + 4.24 x² - 0.848x

→ 3.24x² - 0.848x + 0.0424 = 0

a = 3.24, b = -0.848, c = 0.0424

(for quadratic equation ax² + bx+c=0)

$x = \frac{( - b \: ± \: \sqrt{ {b}^{2} - 4ac) } }{2a}$

$= > x = \frac{ - ( - 0.848 \: ± \: \sqrt{( - 0.848)^{2} - 4(3.24)(0.0424) } }{2 \times 3.24}$

$= > x = \frac{ - 0.848±0.4118}{6.48}$

$x_1 = \frac{0.848 - 0.4118}{6.48} = 0.067$

$x_2 = \frac{0.848 + 0.4118}{6.48} = 0.194$

Here, the value 0.194 should be neglected because it will give concentration of the reactant which is more than initial concentration.

∴ The equilibrium concentrations are :-

$[CO_2] [H_2] = x = 0.067M$

$[CO] [H_2 O] = 0.1 - 0.067 = 0.033M$

7 0

3 years ago

The average price for gasoline rose from $2.85 to $3.24 in one day. Find the percent increase.

Ymorist [56]

%increase = (increase / original number ) x100
increase = 3,24 - 2?85 = 0,39
the rate is 39%

6 0

4 years ago

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F(x)=-9x+8 then f(-2)=?

Flura [38]

Answer:

26

Step-by-step explanation:

the function is f(x), and we need to find f(-2). the only difference between the two terms i gave is the -2 replacing the x. this means that you must replace every x in the first equation with -2. this makes the new function f(-2)=-9(-2)+8. after multiplying the -9 and -2 and adding that product to 8, you come up with your answer: 26.

8 0

3 years ago

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