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alexira [117]
3 years ago
5

3(4x+2)-6x=5x-5(2+x) please solve show your work do not solve for x​

Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

  • simplifies to 6x+6=-10
  • x = -8/3 = -2 2/3

Step-by-step explanation:

3(4x+2)-6x=5x-5(2+x)

12x +6 -6x = 5x -10 -5x . . . . . eliminate parentheses using the distributive property

6x +6 = -10 . . . . . . . . . . . . . . . collect terms

x +1 = -10/6 . . . . . . . . . . . . . . . divide by 6

x = -1 - 5/3 . . . . . . . . . . . . . . . add -1

x = -8/3 . . . . . . . . . . . . . . . . . simplify

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Lunna [17]
X=36 because 1/3 times 36 equals 12
8 0
3 years ago
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Tom knows that in his school 10 out of every 80 students are left-handed. There are 384 students in toms school. How many studen
Vika [28.1K]
Answer:

C (48)

explanation:

firstly, divide 384 by 80. This gives you 4.8. So, since 10 out of every 80 students are left handed we have to times 4.8 by 10 which gives you 48.
4 0
3 years ago
The volume of a cylinder is 1.54 litre. If the height is 20 cm ​
11111nata11111 [884]

Answer:

Radius = 4.95 cm

Step-by-step explanation:

I am assuming you need the radius of the base of the cylinder.

Volume = 1.54 * 1000 = 1540 cm^3

Volume = πr^2h so:

1540 =  π*r^2*20

r^2 = 1540/20 π = 24.510

r = 4.95 cm.

5 0
2 years ago
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A manufacturing company has two retail outlets. It is known that 30% of all potential customers buy
aleksandrvk [35]

Answer:

(a) A y P(A) = 0.4 (b) \bar{B} y P(\bar{B})=0.5 (c) \bar{A}∪\bar{B} y P(\bar{A}∪\bar{B}) = 0.9 (d) \bar{A}∩\bar{B} y P(\bar{A}∩\bar{B})=0.2

Step-by-step explanation:

A was defined as the event that a potential customer, randomly chosen, buys from outlet 1 in the original problem statement. We know that B denotes the event that a randomly chosen customer buys from outlet 2. So

P(A\cap \bar{B}) = 0.3, P(B\cap \bar{A}) = 0.4 and P(A\cap B) = 0.1

(a) P(A) = P(A\cap (B\cup\bar{B})) = P(A\cap B) + P(A\cap \bar{B}) = 0.1 + 0.3 = 0.4

(b)  P(B) = P(B\cap (A\cup\bar{A})) = P(B\cap A) + P(B\cap \bar{A}) = 0.1 + 0.4 = 0.5

P( \bar{B}) = 1-P(B) = 1-0.5 = 0.5

(c) The customer does not buy from outlet 1 is the complement of A, i.e.,  \bar{A}, and the customer does not buy from outlet 2 is the complement of B, i.e.,  \bar{B}, so, the customer does not buy from outlet 1 or does not buy from outlet 2 is  \bar{A}∪ \bar{B} and P(\bar{A}∪ \bar{B}) = P((A\cap B)^{c}) by De Morgan's laws

P((A\cap B)^{c})  = 1-P(A∩B)=1-0.1=0.9

(d) The customer does not buy from outlet 1 is the complement of A, and the customer does not buy from outlet 2 is the complement of B, so we have that the statement in (d) is equivalent to \bar{A}∩\bar{B} and P( \bar{A}∩\bar{B}) = P((AUB)^{c}) by De Morgan's laws, and

P((AUB)^{c}) = 1-P(A∪B)=1-[P(A)+P(B)-P(A∩B)]=1-[0.4+0.5-0.1]=1-0.8=0.2

8 0
2 years ago
The weight of a nickel is 5g. How many mg does a nickel weigh?
telo118 [61]
Grams measures mass not weight

1 g = 1000 mg
(5 g)(1000) = 5000 mg

A nickel's mass is equal to 5000 mg
3 0
3 years ago
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