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3 years ago

The amount of water in a bottle is reduced by 85% to 120 ml. How much water was originally in the bottle?

1 answer:

4 0

At first it was 100%. When it was reduced by 85%, it became 25%. The 25% represents 120 ml. So 100% would be (120/25) × 100 = 480 ml.

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Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9

balu736 [363]

Given:

The function is

$f(x)=\left(\dfrac{1}{3}\right)^x$

To find:

The missing values for a, b, and c in the given table.

Solution:

We have,

$f(x)=\left(\dfrac{1}{3}\right)^x$

At x=-2,

$f(-2)=\left(\dfrac{1}{3}\right)^{-2}$

$a=\left(3\right)^{2}$ $\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]$

$a=9$

At x=-1,

$f(-1)=\left(\dfrac{1}{3}\right)^{-1}$

$b=\left(3\right)^{1}$ $\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]$

$b=3$

At x=0,

$f(0)=\left(\dfrac{1}{3}\right)^{0}$

$c=1$ $\left[\because a^0=1, a\neq 0\right]$

Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.

8 0

3 years ago

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The prime factorization of 324 can be written as 2^a x 3^b, where a = and b=

Nezavi [6.7K]

A=2 and B=4...... because 2^2 and 3•4

3 0

3 years ago

How do you write 158% as a fraction, mixed number, or whole number in simplest form?

blagie [28]

1 29/50 is the simplest form of 158%

5 0

3 years ago

Read 2 more answers

Thanks a lot... Plz answer with steps

scoundrel [369]

24 and 16

Step-by-step explanation:

let's assume two part be x and (40 - x)

According to Question,

$x\dfrac{1}{4} = (40 - x) \dfrac{3}{8}$

$x= \dfrac{3(40 - x)}{2}$

$2 \times x = 120 - 3x$

$2x + 3x = 120$

$5x = 120$

$\cancel{5}x= \cancel{120}$

$x = 24$

Hence one part is 24 and other is (40 - 24) = 16 .

3 0

4 years ago

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Round 258,494 to the nearest ten-thousand.

Lorico [155]

Answer:

260,000

Step-by-step explanation:

the 5 turns to a 6 because the 8 is bigger than 5

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4 years ago