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goldenfox [79]
4 years ago
6

What is the solution to the rational equation 1/5+3/x-5=9/20

Mathematics
1 answer:
yarga [219]4 years ago
5 0
Solve for x over the real numbers:
-5 + 1/5 + 3/x = 9/20

-5 + 1/5 + 3/x = 3/x - 24/5:
3/x - 24/5 = 9/20

Bring 3/x - 24/5 together using the common denominator 5 x:
-(3 (8 x - 5))/(5 x) = 9/20

Cross multiply:
-60 (8 x - 5) = 45 x

Expand out terms of the left hand side:
300 - 480 x = 45 x

Subtract 45 x + 300 from both sides:
-525 x = -300

Divide both sides by -525:
Answer: x = 4/7
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a two digit number is 6 more than 3 times its unit digits.find the number if the sum of its digits is 9
Murrr4er [49]

Answer:

Step-by-step explanation:

We can start as expressing the number as 10x+y, where x is the 10's digit and y is the 1's digit. From here, you can set up the following equations:

10x+y=3y+6

x+y=9

You can subtract x from both sides of the second equation, and substitute the y value into the upper equation like so:

10x+(9-x)=3(9-x)+6

10x+9-x=27-3x+6

Combining like terms:

12x=24

x=2

y=7

The number is 27.

Hope this helps!

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4 years ago
Pablo wants to pour 82.69 grams of salt into a container. So far, he has poured 38.4 grams. How much more salt should Pablo pour
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Answer:

so far he has poured 38.4 grams

Step-by-step explanation:

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3 years ago
Volume of a cube is 343 cm cube . find the edge​
Charra [1.4K]

Answer:

d

Step-by-step explanation:

d

6 0
3 years ago
Read 2 more answers
LAY
marta [7]

Answer:

A

Step-by-step explanation:

how long is the ball in the air ?

that is the same as asking : after how many seconds will the ball hit the ground (= reach the height of 0) ?

so, that means we need to find the zero solution of h(t).

at what t is h(t) = 0 ?

when at least one of the factors is 0 :

2(-2 - 4t)(2t - 5)

we have 3 factors

2 : can never be 0.

(-2 -4t) : can only be 0 for negative t, which does not make sense in our scenario (we cannot go back in time, only forward).

(2t - 5) : is 0 when 2t = 5 or t = 2.5

so, A is the right answer.

FYI : the starting height (on the hill) is given by t = 0 :

2(-2 - 0)(0 - 5) = 2×-2×-5 = 20 ft

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