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frozen [14]
3 years ago
11

4. (2)

Mathematics
1 answer:
pickupchik [31]3 years ago
4 0

Answer:

the first part is $2700

the second part is $8100

the third part is $16200

Step-by-step explanation:

Call the first part a (a>= 0)

=> the second part 3a

=> the third part 2.3a = 6a

Because the total of three parts is 27000 so we have:

a + 3a + 10a = 27000

<=> 10a = 27000

<=> a = 2700 (satisfied)

so

the first part is: a = $2700

the second part is: 3a = 3 . 2700 = $8100

the third part is: 6a = 6 . 2700 = $16200

p/s: actually there are some word I don't know how to express them in English. So please notice to correct them

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natulia [17]

Answer:

x = \frac{4\pi }{9},\frac{10\pi }{9}

Step-by-step explanation:

Given equation is,

\sqrt{3}\text{tan}(\frac{2x}{3})+1=0

By solving this equation,

\text{tan}(\frac{2x}{3})=-\frac{1}{\sqrt{3}}

x=\frac{2}{3}\times \text{tan}^{-1}(-\frac{1}{\sqrt{3}}) [tangent of any angle is negative in IInd and IVth quadrants]

x = \frac{2}{3}\times (\frac{2\pi }{3}), \frac{2}{3}\times (\frac{5\pi}{3})

x = \frac{4\pi }{9},\frac{10\pi }{9}

Therefore, value of x in the interval of [0, 2π] are \frac{4\pi }{9},\frac{10\pi }{9}.

6 0
2 years ago
A line passes through the point (8. -8) and has a slope of
VLD [36.1K]

Answer:

y = 5/4x - 18

Step-by-step explanation:

The slope, intercept form of a straight line is;

y = bx + c

Where, y = slope, given as 5/4

(x, y) is given as ; (8, - 8)

Hence, we need to obtain the value of c, which is the intercept.

x = 8 ; y = - 8

-8 = 5/4x + c

-8 = 5/4(8) + c

-8 = 10 + c

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8 0
3 years ago
Please help me, because they ask for so many characters in Brainly lol
Andrej [43]

Answer:

y=3x+5

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

Given that the slope is 3, we can plug this into y=mx+b as <em>m</em>:

y=3x+b

Now, to solve for <em>b</em>, simply plug in the given point:

-7=3(-4)+b\\-7=-12+b\\b=5

Therefore, the y-intercept is 5. Plug this back into the equation:

y=3x+5

I hope this helps!

4 0
2 years ago
Nine times the sum of a number and 4 is 2
Anna11 [10]

Answer(s):

If you are asking for the equation, it's 9(x+4)=2

However, if you're asking for the value of x as well, it's -34/9

Step by Step:

1) First we must find the equation. In your question, the unknown number is x. Therefore we can know that "the sum of a number and 4" is (x+4). Since we are multiplying this sum by 9, we can put the 9 in front of this expression to multiply it--getting 9(x+4). And since we know it "is 2" we can say that 9(x+4)=2.

2) Now, we have to solve the equation, 9(x+4) = 2

3) We can start by distributing, 9x+36 = 2

4) Now let's move 36 to the right by subtracting from both sides, 9x = -34

5) To isolate x, let's divide both sides by 9, x = -34/9

6) Our fraction answer can't be simplified, so we get x = -34/9

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Convert 0.6 to a fraction to a percent and show a example how​
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Answer:

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0.6 is the same as 6/10 because it is six-tenths.

6/10 is the percentage 60% because you can multiply the top and bottom by ten to get 100 on the bottom.

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