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3 years ago

What is the solution to the equation 3/5x-4-3/7x+8?

Mathematics

1 answer:

4vir4ik [10]3 years ago

8 0

<u>Answer:</u>

The solution to the equation 3/5x-4-3/7x+8 is x = -6

<u>Solution:</u>

Given that equation is $\frac{3}{5x-4} - \frac{3}{7x+8}$

We are asked to find the solution of the equation

So to find the solution of the equation put it equal to 0

$\frac{3}{5x - 4} - \frac{3}{7x + 8} = 0$

On cross multiplication we get,

$\frac{3(7 x+8)-3(5 x-4)}{(5 x-4)(7 x+8)} = 0$

On solving we get,

$\frac{21 x+24-15 x+12}{(5 x-4)(7 x+8)}=0$

6x+36=0

6x = -36

x = -6

Hence the solution to the equation is x = -6

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Which of the following represents fifth root of x to the fourth power in exponential form? (6 points) a 4x5 b 5x4 c x to the fiv

sleet_krkn [62]

Answer:

B) 5x4

one its not A nor its C

its either B or D but i would go with B because D doesn't make sense all because D is saying x4^5 but its 5x^4

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3 years ago

Read 2 more answers

Dawn has to pay 10,990 for her college dorm room and tuition each year. About how much money does dawn spend the first 2 years o

IceJOKER [234]

Dawn has to pay 10,990 for her college dorm room and tuition each year. About how much money does dawn spend the first 2 years of college

Answer: The amount of money Dawn has to pay for 1 year $= 10,990$

Therefore, the amount of money Dawn has to pay for first 2 years of college is:

$2 \times 10,990 = 21,980$

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4 years ago

If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?

svetlana [45]

Answer:

I'm assuming where you wrote x2, you meant 2x.

Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3

At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.

sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2

cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2

tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3

To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.

Step-by-step explanation:

BRAIN LY FAST

MARK A BRAINLESS

5 0

2 years ago

Mrs.Chang spent $44 for a movie ticket and a snack for each of her 4 children. Each snack cost $3.50. Each movie ticket cost the

jeka57 [31]

Each snack cost 3.50 and she bought four, one for each child. The child who wrote it only took one snack into account.
The equation should be 14+4x=44
14 being all four snacks

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3 years ago

. If her allowance had stayed the same, $9.00 a month, how many carnival tickets could she bu

jarptica [38.1K]

Answer:

a) number of tickets she could buy in a month with her allowance in 2008 = 4 tickets

b) number of tickets she could buy in a month with the same allowance in 2012 = 2 tickets

c) $5, an increase of 55.56%

d) $2, a 100% increase.

e) Hallie was able to buy more tickets in 2008 than in 2012.

f) $16

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

a) Halie's allowance monthly = $9

Price of a ticket in 2008 = $2

number of tickets she could buy in a month with her allowance = (9/2) = 4.5 = 4 tickets (since there are no half tickets)

b) Halie's allowance monthly = $9

Price of a ticket in 2012 = $4

number of tickets she could buy in a month with her allowance = (9/4) = 2.25 = 2 tickets (since there are no quarter tickets)

c) In 2012, Hallie's allowance was $14.00 per month. How much did her monthly allowance increase between 2008 and 2012?

Her monthly allowance in 2008 = $9

Her monthly allowance in 2012 = $14

The increase = new allowance - old allowance = 14 - 9 = $5

In percentage terms,

% increase = 100% × (new - old)/(old)

% increase = 100% × (14 - 9)/9 = 55.56%

d) How much more did a carnival ticket cost in 2012 than it did in 2008?

Price of a ticket on 2008 = $2

Price of a ticket in 2012 = $4

Increase in price = 4 - 2 = $2

% increase = 100% × (4 - 2)/2 = 100%

e) Was Hallie able to buy more carnival tickets in 2008 or in 2012 with one month's allowance?

Hallie was able to buy more tickets in 2008 than in 2012.

f) What would Hallie's allowance need to be in 2012 in order for her to be able to buy as many carnival tickets as she could in 2008?

Hallie could buy 4 tickets in 2008.

Price of a ticket in 2012 = $4.

Price of 4 tickets in 2012 = 4 × $4 = $16

Hope this Helps!!!!

3 0

3 years ago