Why is 1/6 greater than 1/8 but less than 1/3

Answers

Answer 1
Answer: I would show it in decimals. Seeing it to show how close it is to one would make it a lot easier- 1/6= .16. 1/8=.125 and 1/3=.33 So looking at the decimals you can see how one would be bigger than the other

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Please answer please please answer need the answer
Diego runs for 32 seconds at -8.1 meters per second. What is his finish point?
Solving equations 4x-2=18
Which of the following is another way to express the equation 16 = -9 + z?
Iola has $75. She buys a pair of shoes on sale for one-half off and a pair of socks for $6. She has $32 left. Which equation can be used to find x, the regular price of the shoes?a. x + 6 + 32 = 75 b. x + 6 = 32 c. 1/2x +6+ 32 =75 d. 1/2x +32 =75

Solve |x + 3| = 7.
A. x= -4
B. x= 10
C. x= 4
D. x= -10

Answers

Answer:

C. x= 4

Step-by-step explanation:

|x + 3| = 7

x + 3 = 7

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

|x + 3| = 7

=> x + 3 = 7

=> x = 7 - 3

=> x = 4

A bowling alley charges $3.50 per game plus $5 to rent shoes. A second bowling alley charges $5 per game plus $2 to rent shoes. Howmany games would a person have to play for the two bowling alleys to cost the same amount?

Answers

Answer:

2 games for both bowling alleys to cost the same amount

What is the expanded expression form that is equivalent to 3(x + 3y)?

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Answer:

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3(x + 3y) \n  = 3x + 9y

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What is the expanded expression form that is equivalent to 3(x+3y) ?

It is = 3x+9y

Determine whether the sequence is arithmetic or geometric.sequence 1: 32, 16, 0, –16, ...
sequence 2: 32, 16, 8, 4, ...
which of the following statements are true regarding sequence 1 and sequence 2.

sequence 1 is arithmetic and sequence 2 is geometric.
both sequences are arithmetic.
both sequences are geometric.
sequence 2 is arithmetic and sequence 1 is geometric.

Answers

S1.
32, 16, 0, -16, ...
It's an arithmetic sequence:
a_1=32;\ d=16-32=-16\n\na_n=a_1+(n-1)d\n\na_n=32+(n-1)\cdot(-16)=32-16n+16=48-16n

S2.
32, 16, 8, 4, ...
It's a geometric sequence:
a_1=32;\ r=16:32=(1)/(2)\n\na_n=a_1r^(n-1)\n\na_n=32\cdot\left((1)/(2)\right)^(n-1)

Answer: sequence 1 is arithmetic and sequence 2 is geometric.

13.
For which of the following equations are x = 5 and x = –5 both solutions?

Answers

10 on both sides then reduce which is negative 21

Given the function f(x)=0.5(3)^x, what is the value of f^-1(7)?

Answers

f\left( x \right) =\frac { 1 }{ 2 } \cdot { 3 }^( x )\n \n \frac { 1 }{ 2 } \cdot { 3 }^( x )=y

\n \n 2\cdot \frac { 1 }{ 2 } \cdot { 3 }^( x )=2\cdot y\n \n { 3 }^( x )=2y\n \n \log _( 3 ){ \left( 2y \right)  } =x

\n \n \therefore \quad { f }^( -1 )\left( x \right) =\log _( 3 ){ \left( 2x \right)  }

\n \n \therefore \quad { f }^( -1 )\left( 7 \right) =\log _( 3 ){ \left( 2\cdot 7 \right)  } =\log _( 3 ){ 14 }