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3 years ago

Consider this equation: –2x – 4 + 5x = 8 Generate a plan to solve for the variable. Describe the steps that will be used.

2 answers:

8 0

Sample Response: The goal is to get x all alone. First combine like terms. Apply the addition property of equality to add 4 to both sides. Apply the division property of equality to divide both sides by 3. The result will be x = 4. Finally, check the solution by substituting 4 into the original equation.

horrorfan [7]3 years ago

6 0

We are given the function –2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:

-2x + 5x =8+4
Then, do the necessary operations.

3x = 12
x = 4.
The variable x has a value of 4.

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How would you solve this problem.

Jet001 [13]

We can find h by calculating the area S of the parallelogram in two ways. We can write: $S=18\cdot10$ . On the other hand, $S=12\cdot h$ . Then:

$18\cdot10=12\cdot h\\\\ 12h=180\\\\h=\dfrac{180}{12}\\\\\boxed{h=15}$

7 0

2 years ago

Mikaela purchased a paddleboard originally priced at $699. If all merchandise was on sale for 40% off and the state tax rate is

vitfil [10]

Answer:

299.87

Step-by-step explanation:

$699*0.40=279.60\\279.60*0.0725= 20.271 (round)\\279.60+20.27=299.87$

6 0

1 year ago

Read 2 more answers

a line that includes the point (3,4) has a slope of 2. what is the equation in the slope-intercept form?

Andreas93 [3]

Answer:

y=2x-2

Step-by-step explanation:

the slope is y/x

the slope is 2 or 2/1

subtract 2 from the y value and 1 from the x value

(3-1,4-2) = (2,2)

keep doing this until you get a 0 in the x value

(2-1,2-2) = (1,0)

1 is your x-intercept

(1-1,0-2) = (0,-2)

-2 is your y intercept.

So now you know your y-intercept and your slope so you can now write your equation.

y=mx+b

m=slope, b=y-intercept

m=2, b=-2

substitute into the equation

y=2x-2

8 0

2 years ago

This morning I went to Larry's for breakfast.

Olin [163]

Answer:

9 dollars and 18 cents

Step-by-step explanation:

6 0

2 years ago

A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng

tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, $xy \leq 8000$

So, $x(220-x) \leq 8000$

$220x-x^2 \leq 8000$

So, $220x-x^2 = 8000\\-x^2+220x-8000=0$

General quadratic equation : $ax^2+bx+c=0$

Formula : $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031$

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0

3 years ago