Round 2.56×0.03 to the nearest hundredth

Answers

Answer 1
Answer: 2.56 times 0.03 is 0.0768 then round to hundredth is 0.08 i think 

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A car rental agency charges $120 per week plus $.12 per mile driven. How many miles did you drive if the total charge is $162?

Answers

\boxed{y=120+0.12x}\n \n y=162\n \n 120+0.12x=162\n \n 0.12x=162-120\n \n 0.12x=42\n \n x=(42)/(0.12)\n \n \boxed{\boxed{x=350 \ miles}}

F (x) = cx + 3In the function above, c is a constant. If f (1) = 1, what is the value of f (-4) ?

Answers

If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1

So the constant c is -2 and that means the value of f(-4) is

f(-4)=-2(-4)+3=8+3=11

Thus, the value of f(-4) is 11.

About why does "c" have to be -2, here's the proof.

 Given y = f(x), therefore.

y=cx+3

Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3

1 - 3 = c and therefore, -2 = c #

So this is the proof that c = -2

PLEASE HELPCompare -3 and 9. Which of the following is true
A. -3 < 9 and -3 < 9

B. -3 = 9 and -3 < 9

C. -3 > 9 and -3 < 9

D. -3 > 9 and -3 > 9

Answers

Answer:

A

Step-by-step explanation:

Because A option has two correct pairs like 9 is bigger than -3 the two options are same

F(x)=-2x+3 how do you find x if f(x) = 11

Answers

since we know f(x)=11 all we need to do is substitute and solve. so
11=-2x+3 subtract 3 from both sides
8=-2x divide both sides by -2
-4=x
sub back in to check

-2(-4)+3=8+3=11 looks good

On Friday, Kelsey went to a local carnival. She bought a pretzel for $5 and played three games. On Saturday, Kelsey went back to the carnival and bought an ear of corn for $3 and played five games. If all the games cost the same amount to play, and Kelsey spent the same amount of money each day, how much does each game cost to play?A $1.00
B $1.25
C $1.50
D $2.00

Answers

set the question up as an equation, where x is equal to the cost of a game
FRIDAY: 5+3x
SATURDAY: 3+5x

∴ 5+3x=3+5x
   2=2x
   x=1
Therefore the cost of 1 game is $1

The best answer is A since each game cost the same amount and she spent the same amount both days, u can just add the number of games for the first day which is 3 with $5 and get $8.and for the second day just add  $3 with $5 and u get $8 again.

WHAT IS 1/3 TO THE TENTH POWER IN FRACTION FORM?AND WHAT IS (1/3)^10 x 9^4(( (1)/(3)) ^(10)) 9^4

1/3 to the tenth power times 9 to the 4th power

Answers

Well, 1/3 to the 10th power. Since the numerator is 1, just ignore that.

Find the tenth power of 3.
3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 59049
So, 1/3 to the 10th power is equal to 1/59049.
(1)/(3) ^(10) = (1)/(59049)

Okay, for the second equation we know that 1/3 to the tenth power is already 1/59049.

Now find the 4th power for 9.

9 x 9 x 9 x 9 = 6561
9*9*9*9=6561

Convert 6561 into a fraction, which is 6561/1.


Now multiply.

1/59049 x 6561/1 = 6561/59049

That fraction reduces into 1/9.

Answer #1: 1/59049
Answer #2: 1/9
1/3 ^ 10 = 1/3 * itself ten times.
1/59049 x 9 ^ 4
1/59049 x 6561 = 6561/59049
1/9