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garri49 [273]
3 years ago
7

1/6(x-5)=1/2(x+6) what is the solution to this equation

Mathematics
2 answers:
Alisiya [41]3 years ago
5 0

Step-by-step explanation:

1/6×-5/6=1/2×+3

cross multiply

6(×+3)=2(×-5)

6x+18=2×-10

group like terms

6x-2×=-10-18

4×=-28

×=7

Alexandra [31]3 years ago
3 0

Answer:

Exact Form:

x= -23/2

Decimal:

x= -11.5

Mixed Number:

x= -11/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

You might be interested in
Please help, thank you!!
Alexxx [7]

Answer:

\sf \dfrac{Area\:of\: \triangle\: AEG}{Area \: of \: quadrilateral\:EGBH}=\dfrac{1}{7}

Step-by-step explanation:

If G is the midpoint of CD, and AC is parallel to DB, then AC = DH.

Therefore, G is the midpoint of AH and ΔACE is similar to ΔDBE.

As AC : DB = 1 : 3

⇒ Area of ΔACE : Area of ΔDBE = 1² : 3² = 1 : 9

We are told that Area ΔACE = Area ΔAEG.

⇒ Area ΔACG = 2 × Area ΔACE

As AC = DH, and G is the midpoint of CD:

⇒ ΔACG ≅ ΔHDG

⇒ Area ΔHDG = 2 × Area ΔACE

Area of quadrilateral EGHB = Area of ΔDBE - Area ΔHDG

                                              = Area of ΔDBE - 2 × Area of ΔACE

Therefore:

\sf \implies \dfrac{Area\:of\: \triangle\: AEG}{Area \: of \: quadrilateral\:EGBH}

\sf \implies \dfrac{Area\:of\: \triangle\: ACE}{Area \: of \: \triangle\:DBE - 2 \times Area\:of\: \triangle ACE}

Using the ratio of Area ΔACE : Area ΔDBE =  1 : 9

\implies \sf \dfrac{1}{9-2}

\implies \sf \dfrac{1}{7}

3 0
2 years ago
Read 2 more answers
Betty turned 71 this year but in three more years she will be twice as old as her daughter. How old is her daughter now
Liono4ka [1.6K]

Answer: Betty's daughter is 34 years old now.

Step-by-step explanation:

So Betty is currently 71. In three years, she will be 74. So she will be twice as old as her daughter at the age of 74. To find out how old Betty's daughter is in 3 years, I will divide 74 by 2, which is 37 (74/2). Finally, I will subtract the original 3 years from the 37 years of age of Betty's daughter, and I will get my answer for how old Betty's daughter is, which is 34 years old.

4 0
2 years ago
Answer??????????????
enot [183]

Inconsistant is the answer!


4 0
3 years ago
The quadratic formula gives which roots for the equation 2x^2+7x=-2
Maurinko [17]

answer: x= -(7+√33)/4 , x=-(7-√33)/4

7 0
3 years ago
A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective
melomori [17]

Answer:

Total probability = 0.9278

Step-by-step explanation:

Probability one of the bulbs is defective = 0.1

Probability of one bulb being defective = 0.1*0.9^1^4^9  * Number of possible arrangements

Probability of one bulb being defective = 0.1*0.9^1^4^9 * 150

Probability of one bulb being defective = 0.00000228

Similarly, the probability of 2 to 20 bulbs being defective can be found. We simply need to find the probability of the event happening and multiply it with the number of ways we can arrange the bulbs.

Let X be the number of defective bulbs. we then get the following equations:

Probability of event happening = 0.1 ^ (X) * 0.9 (150-X)

Arrangement (number of ways it could happen) = 150! / [ X! * (150-X)! ]

The total probability will then be the above equations multiplied. Given below are the answers for each type of event:

2 defective bulbs = 0.00001885

3 defective bulbs = 0.0001035

4 defective bulbs = 0.0004227

5 defective bulbs = 0.001371

6 defective bulbs = 0.003682

7 defective bulbs = 0.008417

8 defective bulbs = 0.01672

9 defective bulbs = 0.02931

10 defective bulbs = 0.04591

11 defective bulbs = 0.06493

12 defective bulbs = 0.08357

13 defective bulbs = 0.09857

14 defective bulbs = 0.10717

15 defective bulbs = 0.1079

16 defective bulbs = 0.1012

17 defective bulbs = 0.08865

18 defective bulbs = 0.07278

19 defective bulbs = 0.05618

20 defective bulbs = 0.04088

Adding up all the above probabilities we get the answer = 0.9278

5 0
2 years ago
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