0.5,1/5,0.35,12/25,4/5 least to greatest

Mathematics

1 answer:

IceJOKER [234]3 years ago

5 0

The order is:
1/5, 0.35, 12/25, 0.5, and 4/5.

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Timothy is filling fish bowls with pebbles at his fish store. He wants to have $\frac{1}{6}$ of a pound of pebbles in each fish

Luba_88 [7]

Answer:

Step-by-step explanation:

Given that:

Each fish bowl to have pebbles of weight equivalent to = $\frac{1}{6}$

Total pounds of pebbles that Timothy can use = $2\frac{1}{3}$

To find:

The greatest value of Total number of fish bowls that Timothy can fill ?

Solution:

First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.

Formula:

$1. \ p\dfrac{q}{r} = \dfrac{p\times r+q}{r}\\2. \ \dfrac{\frac{a}{b}}{\frac{c}d}=\dfrac{a\times d}{b\times c}$

Now, the given mixed fraction can be converted to fractional number as:

$2\dfrac{1}{3} = \dfrac{2\times 3+1}{3} = \dfrac{7}{3}$

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.

So, the answer is:

$\dfrac{\frac{7}{3}}{\frac{1}{6}}\\\Rightarrow \dfrac{7\times 6}{3\times 1}\\\Rightarrow \dfrac{42}{3}\\\Rightarrow \bold{14}$

<em>14</em> number of fish bowls can be filled.

3 0

3 years ago

Can 171 19/32 be simplified

LenaWriter [7]

171 19/32=(171×32+19)/32=(odd number)/32.

But 32=2⁵

Thus, this ratio cannot be simplified, because the numerator is an odd number.

And the denominator is a power of 2.

7 0

3 years ago

Solve. (x + 3)^1/2– 1 = x

Natali [406]

Answer:

x=1

Step-by-step explanation:

$(x + 3) ^{ \frac{1}{2} } - 1 = x \\ \sqrt{x + 3} - 1 = x \\ \sqrt{x + 3} = x + 1 \\ square \: both \: sides \\ x + 3 = {x}^{2} + 2x + 1 \\ {x}^{2} + 2x - x + 1 - 3 = 0 \\ {x}^{2} + x - 2 = 0 \\ x ^{2} + 2x - x - 2 = 0 \\ (x^{2} + 2x) - (x + 2) = 0 \\ x(x + 2) - 1( x + 2) = 0 \\ (x - 1)(x + 2) = 0 \\ x - 1 = 0 \\ x = 1 \\ \\ \\ x + 2 = 0 \\ x = - 2$