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Xelga [282]
3 years ago
12

Solve the equation (x/x+2) - (4/x-2) = 1

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

<h2>            \bold{x=-\dfrac23}</h2>

Step-by-step explanation:

\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23

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Easiest question in the world no joke this time
Volgvan

Question #25:

One way to solve this is by multiplying the number of packages per serving by the number of guests.

1/4 * 16 = 4 packages to serve 16 guests. This means he doesn't have enough.

A second way to solve this is by diving the number of packages by the number of packages it takes to make on serving.

3 1/2 ÷ 1/4 = 14 guests he can serve. This means he doesn't have enough.

Question #26:

First, find common denominators.

2/3 = 8/12

1/4 = 3/12

Second, subtract.

8/12 - 3/12 = 5/12

Therefore, the tank is 5/12 full at the end of the trip.

Question #27:

1/2 is cut off then 1/3 is cut off. This means 3/6 was cut off to bundle newspapers, then 1/6 was cut off to make parcel. In all, 4/6 was cut off the original string. Afterwards, 2/6 was left over. So, just multiply; 2 * 3 = 6.

Therefore, the original string was as a total of 6 meters.

Best of Luck!

3 0
3 years ago
I think i had thw correct answers for thr last two but the keep coming up as incorrect​
Oksana_A [137]

Answer:

B. 40

C. 8

Step-by-step explanation:

7 0
3 years ago
Carla is arranging square patches of grass on her rectangular lawn her lawn is 10 yards wide and 3 and 1/2 yards long how many s
Paraphin [41]

Answer:

I don't know if this is correct but wouldn't it be 560?

Step-by-step explanation:

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8 0
3 years ago
75 girls at a summer camp were asked to complete a survey about their favorite outdoor activity. 27 girls chose swimming and 32
Oduvanchick [21]

ANSWER

Find out the expression gives the percent of survey participants who chose swimming.

To proof

As given

75 girls at a summer camp were asked to complete a survey about their favorite outdoor activity.

27 girls chose swimming

32 girls chose hiking.

FORMULA

Percentage = \frac{Part\times100}{whole}

total girls  = 75

girls chose swimming = 27

put in the formula

= \frac{27\times100}{75}

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Hence proved

3 0
3 years ago
Read 2 more answers
-2 divided by 1/4 please show your work
Aneli [31]
-2 / 1/4
If you are dividing you have to switch 1/4 to 4/1

-2/1  / 4/1
= -8
Hope this helped
6 0
3 years ago
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