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Oksanka [162]
3 years ago
12

Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the c

ost of a bottle of water?
Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

Answer:

$0.25

Step-by-step explanation:

From the above question:

1 bottle = 1/8 gallon

Hence

1 gallon of water = $1.98

1/8 gallon of water = x

Cross Multiply

x = 1/8 × $1.98

x = $0.2475

Approximately ≈ $0.25

Therefore, the cost of a bottle of water = $0.25

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Select the simplification that accurately explains the following statement.
lutik1710 [3]

Answer:

Option (b) is correct.

(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2

Step-by-step explanation:

Given: (2^\frac{1}{4} )^4

We have too choose the correct simplification for the given statement.

Consider (2^\frac{1}{4} )^4

Using property of exponents, (a^m)^n=a^m\times a^m\times a^m\times ....\times (n\ times)

We have,

(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}

Again applying property of exponents  a^m\times a^m=a^{n+m}

We have,

(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}

Simplify, we have,

(2^\frac{1}{4} )^4=2^{\frac{4}{4}}

we get,

(2^\frac{1}{4} )^4=2^{1}=2

Thus, (2^\frac{1}{4} )^4=2

Option (b) is correct.

   

8 0
3 years ago
Read 2 more answers
What is the answer to: -2x-y=-9
Nitella [24]
Y=9-2x, 9-2x=0, 2x=9, x=9/2, if you were asked to put it in standard form put down the first thing I said, if you were asked for solution then everything I said
3 0
3 years ago
Does anyone know how to answer this problem?<br>Here's the picture.​
horsena [70]

Answer:

3 \frac{46}{81}

Step-by-step explanation:

change 1 \frac{8}{9} to an improper fraction

1 \frac{8}{9} = \frac{17}{9} , thus

\frac{17}{9} × \frac{17}{9} = \frac{289}{81} = 3 \frac{46}{81} or 3.57 ( to 2 dec. places )

5 0
4 years ago
Read 2 more answers
4. Angles A and B are supplementary. If mA = 67, find mB
qaws [65]

Answer:

113 degrees

Step-by-step explanation:

Two angles are called supplementary when they add up to 180 degrees

180 = x + y \\  180 = 67 + y \\ y = 180 - 67 \\  y = 113 \\ therefore \: mB \:  = 113

5 0
2 years ago
Help!
cricket20 [7]

Answer:

70% = \frac{70}{100} = \frac{7}{10} = 0.7

20% = \frac{20}{100} = \frac{1}{5} = 0.2

Step-by-step explanation:

We know that x% is represented by the fraction \frac{x}{100}.

Now, in the first part, we are given two percentages 75% and 70%.

Now, 75% = \frac{75}{100} = 0.75

and 70% = \frac{70}{100} = \frac{7}{10} = 0.7

Therefore, the second option is correct.

Again, in the second part, we are given two percentages 20% and 25%.

Now, 20% = \frac{20}{100} = \frac{1}{5} = 0.2

and 25% = \frac{25}{100} = \frac{1}{14} = 0.25

Therefore, the third option is correct. (Answer)

4 0
4 years ago
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