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exis [7]
3 years ago
6

(2x/3)=x+2 With working out plzzz

Mathematics
1 answer:
MissTica3 years ago
5 0

Answer:

x= -6

Step-by-step explanation:

2x/3=x+2

multiply each side by 3

2x/3*3=x+2*3

calculate

2x=3x+6

move variable to the left and change the sign

2x-3x=6

collect like terms

-x=6

change the signs

x= -6

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An insurance company issues life insurance policies in three separate categories: standard,preferred,and ultra- preferred. Of th
slega [8]

Answer:

a) 0.0002

b) 0.0057

c) 0.0364

Step-by-step explanation:

Lets start by stating the probabilities of a person belonging to each policy:

Standard: 0.3

Preferred: 0.5

Ultra- Preferred: 0.2

The probability of person belonging to each policy AND dying in the next year:

Standard: 0.3 x 0.015 = 0.0045

Preferred: 0.5 x 0.002 = 0.001

Ultra- Preferred: 0.2 x 0.001 = 0.0002

a) The probability a ultra - preferred policy holder dies in the next year is 0.001. To find the probability of a person being both a ultra - preferred policy holder AND die in the next year is: 0.001 x 0.2= 0.0002

b)  The probability is given by adding the probabilities calculated before :

0.0045 + 0.001 + 0.0002 = 0.0057

c) We use the results above again. This is 0.0002 / (0.001 + 0.0045). The answer comes out to be 0.0364

6 0
3 years ago
An open box is formed from a rectangular piece of cardboard whose length is 8cm more than its width by cutting squares of 2cm fr
Serggg [28]
If the width of the cardboard = x cm then its length is given by x + 8 cm.
Then the length of the box will be x + 8 - 2(2) =  x + 4
and the width = x - 2(2) = x - 4 cm The height is 2 cm 

Volume = h*w*l = 2(x - 4)(x + 4) = 256
2(x^2 - 16) = 256
x^2 - 16 = 128
x^2  = 144 
x = 12 cm 

Dimensions of the box are:-

length =  12 + 4 =  16cm
width = 12 - 4 = 8 cm
height = 2 cm



















3 0
3 years ago
Q26. Meena bought a cake and left it on the table in the morning. When she came home in the evening, she saw that of the cake ha
Gwar [14]

The answer is; 24/75 of the entire cake remained

If 2/5 of the initial cake was eaten, the 3/5 is what remained

MInu ate 1/3 of the 3/5 = 3/15

3/5 – 3/15 = 6/15 remained

Her brother ate; 1/5 of 6/15 = 6/75

6/15 – 6/75 = 24/75 remained




4 0
3 years ago
Factor: (a+3)^2 -a(a+3)
lutik1710 [3]

Answer:

3(a +3)

Step-by-step explanation:

(a+3)^2 -a(a+3)

FOIL

a^2 +3a+3a+9 -a(a+3)

Distribute

a^2 +3a +3a +9 -a^2 -3a

Combine like terms

3a +9

FACTOR out a+3

(a+3)( a+3 -a)

(a+3) (3)

3(a+3)

6 0
3 years ago
Read 2 more answers
Solve: 51 ÷ [(-15) + (-2)
kari74 [83]
Dude at the top correct
3 0
3 years ago
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