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zhannawk [14.2K]
3 years ago
7

3(2x + 1 ) = 2(x + 1) + 1

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0

3(2x+1)=2(x+1)+1

Step 1:Simplify both sides of the equation

(3)(2x)+(3)(1)=(2)(x)+(2)(1)+ -(distribute)

6x+3=2x+2+1

6x+3=(2x)+(2+1) -(Combine Like Terms)

6x+3=2x+3

Step 2: Subtract 2x from both sides

6x+3-2x=2x+3-2x

4x+3-3=3-3

4x÷4=0÷4

x=0

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HELPP PLEASE AND GET POINTS
MArishka [77]

Answer:

112

Step-by-step explanation:

cause if you calculated it it will be 112.2222 so the closest thing is 112

3 0
2 years ago
What’s the probability of getting each card out of a deck?
VMariaS [17]

Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen​​​​​​​​​​​ is:

P(5 or Q) = P(5) + P(Q)

= 4/52 + 4/52

= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

= 30/52

P(R or J) = 15/26

f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

= 13/52 + 4/52

P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

= 26/52

P(D or S) = 1/2

6 0
3 years ago
A line segment has endpoints (-5, 10) and (a,b) . If the midpoint of the segment is (13, -2), what is the absolute difference be
AlexFokin [52]
If the line segment point is D(-5, 10) and E(a,b) and the  midpoint of the segment is F(13, -2) that mean 
DE= 2*DF

You can directly find the distance of AC 
Xdf= Xf-Xd= 13 - (-5)= 18
Ydf= Yf - Yd= -2 - 10= -12

Then add the distance of AB( which is 2*AC) to point D
Xe= a = Xd + 2*Xdf 
a= -5 +2*18= 31

Ye= b = Yd + 2Yf
b= 10+ 2*-12= -14

<span>absolute difference between a and b:
|b-a|= </span>|-14-31|= 45
7 0
2 years ago
Find the volume of the cylinder in terms of pi<br> H=6 r=3
Len [333]
Area of Base x Height

Area of a circle is PI x R squared

Radius is 3

Area of Base is 9Pi

9Pi x Height

Height is 6

9pi x 6 =

54 pi.
3 0
2 years ago
I need help with this question!
trasher [3.6K]
It isn't that hard to choose an answer corresponding to an area of 63 ft^2.

A: 35 ft^2

B: 63 ft^2 . . . . . perhaps this one is the correct choice, eh?

C: 99 ft^2

D: 143 ft^2
6 0
3 years ago
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