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sergey [27]
3 years ago
11

4/x - 3/y = 1 ; 6/x + 15/y = 8 solve this equation​

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0

Answer:

x=2

y=3

Solution:

First we find common denominators. It is "xy". Then we multiply numerators by common denominator. We get followings:

(4y-3x)/xy=1; (6y+15x)/xy=8

Then

4y-3x=xy;

6y+15=8xy

Multiply first equasion by 5

20y-15x=5xy

Now we add two equasions to get one

20y-15x=5xy

6y+15x=8xy

We get

26y=13xy

Cut "y" and we will find "x"

26=13x

x=2

Put x value into the first equasion(4y-3x=xy) to find out "y"

4y-6=2y

2y=6

y=3

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Kim eats 1/3 of an apple in 1/6 minute.How many minutes will it take
klio [65]

Answer:

0.5 or 3/6 min

Step-by-step explanation:

so

1/3= 1/6min or 10 sec

to finish the whole apple 3/3 is required

1 part is 10 sec, 3 parts will be 30 secs which is 0.5 /3/6 min.

hope this helps

3 0
3 years ago
An observation deck extends 202 feet out above the valley. The deck sits 152 feet above the valley floor. If an object is droppe
OleMash [197]

Answer:

<h3>3 secs</h3>

Step-by-step explanation:

Given the height of the object as it drops from the observation deck expressed as;

h= -16t^2+152

To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;

8 = -16t^2+152

subtract 8 from both sides

8-8 = -16t^2+152-8

0 =  -16t^2+144

0-144 =  -16t^2

-144 = -16t^2

16t^2 = 144

Divide both sides by 16;

16t^2/16 = 144/16

t^2 = 9

t = √9

t = 3seconds

Hence it will take 3 seconds for the object to be 8 feet above the valley floor

6 0
3 years ago
3 is added to five times number, and the result is multiplied by 4. the final result is 72. what is the number​
Dima020 [189]

Answer:

The number is 3

Step-by-step explanation:

Hi,

4 ( 3 + 5x) = 72

12 + 20x = 72

20x = 60

x = 3

Hope this helps :)

7 0
2 years ago
Read 2 more answers
If r=20.5 and s=34.2 find S Round to the nearest tenth
astraxan [27]

Answer: option d

Step-by-step explanation:

Remember the identity:

tan\alpha=\frac{opposite}{adjacent}

The inverse of the tangent function is arctangent. You need to use this to calculate the angle "S":

 \alpha =arctan(\frac{opposite}{adjacent})

Knowing that: you need to find the measure of the angle "S" , r=20.5 (which is the adjacent side) and s=34.2 (which is the opposite side), you can sustitute values into \alpha =arctan(\frac{opposite}{adjacent})

Then, you get that the measure of "S" rounded to the nearest tenth is:

S=arctan(\frac{34.2}{20.5})\\\\S=59.1\°

7 0
3 years ago
Read 2 more answers
SLOVE THIS QUETION IF UR GOOD AT MATH
Dmitry [639]

-\frac{15}{20}, 3.24, 3\frac{8}{32}

6 0
3 years ago
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