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2 years ago

Solve the equation. -1/6x - 5 = 2/3x Please type step-by-step explanation.

Mathematics

2 answers:

Debora [2.8K]2 years ago

8 0

Answer: Solution

−

Step-by-step explanation:

Nataly_w [17]2 years ago

8 0

Answer:

X = -6 plz brainliest

Step-by-step explanation:

-1/6x - 5 = 2/3x

Get rid of the smallest amount of x by adding 1/6x to both side

-5 = 5/6x

Divide both side by 5/6

-6 = x

X = -6

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The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server?

Leviafan [203]

Answer:

12.8$

Step-by-step explanation:

20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.

6 0

2 years ago

How can you rewrite the expression (8-5i)^2 in the form of a +bi

olchik [2.2K]

$\bf \textit{recall that }i^2=-1\\\\
-------------------------------\\\\
(8-5i)^2\implies (8-5i)(8-5i)\implies 64-40i-40i+(5i)^2
\\\\\\
64-80i+(5^2i^2)\implies 64-80i+(25\cdot -1)\implies 64-80i+(-25)
\\\\\\
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3 0

2 years ago

Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p

zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

Statement 1: "The pen is 3 feet wider than it is long"

$Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3$

------

Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"

$Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y$

------

Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."

$Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\$

------

Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."

$Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\$

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

$178=x^2+3x-y\\ \\ -6=4x-3y$

8 0

3 years ago

Read 2 more answers

Need help with this work sheet

Lesechka [4]

Answer:

its alot to explain but i will try to make it as simple as possible

Step-by-step explanation:

your first goal is to make each problem into the form ax^2+bx+c=0

number 1, 2, 7 and 8 is already done for you

now all you have to do is plug in each number in the standard form into the quadtratic formula.

basically at this point you can just use your calculator to do the rest of the work. dont forget parentheses so it doesnt get confused...

or you can perform the algebraic work.. its all just a matter of plugging in the right numbers into the quadratic formula...

cant really do the work for you since im on my phone. but yeah all you need to do step one is transform each problem into ax^2+bx+c=0 form

then step 2, plug in each number in to the quadtratic formula. from there calculate using basic algebraic rules

5 0

3 years ago

Help pls

konstantin123 [22]

Answer:

40 minutes

Step-by-step explanation:

We simply want to find the least common multiple (lcm) of the two times (5 and 8). Which is 40 minutes

For a more visual representation every 5 minutes Georgia will cross the starting line while it will take Susana 8 minutes to cross after starting at the same time.

So Georgia will cross at (5, 10, 15, 20, 25, 30, 35, 40) minutes

While Susana will cross at (8, 16, 24, 32, 40) minutes

4 0

2 years ago