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brilliants [131]
3 years ago
12

How many 1 1/2 liter bottles of water does it take to fill a 16 liter jug? show work​

Mathematics
1 answer:
Ghella [55]3 years ago
7 0

Answer: 11 bottles approximately.

Step-by-step explanation:

The first step you can  apply in order to solve this exercise, is to convert the mixed  number to a decimal number. The procedure to this is:

1. Divide the numerator 1 by the denominator 2.

2. Add the quotient obtained to the whole number part.

Then, this is:

1\frac{1}{2} =1+\frac{1}{2}=1+0.5=1.5

According to the information provided in the exercise,  a jug of 16 liters must be filled using  bottles of 1.5 liters of water.

So, let be "x" the amount of 1.5 liters bottles of water that takes the fill the jug of 16 liters.

To find the value of "x", you need to divide 16 liters by 1.5 liters. Then:

\frac{16\ liters}{1.5}=10.6\approx11

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X+3y = 2
nalin [4]

Answer:

The value of "x" is 5.

Step-by-step explanation:

In order to solve this system of equations, we first have to take the first equation and use it to represent "y" in terms of "x". We do that in the following way...

x + 3y = 2\\3y = 2 - x\\y = \frac{2}{3} - \frac{x}{3}

Now, we need to take the second equation and substitute "y" for the equivalent value in terms of "x". After doing this we will get the following equation, which we can solve to get the value of "x".

4x - 3y = 23\\4x-3(\frac{2}{3} - \frac{x}{3}) = 23\\4x - 2 + x = 23\\5x - 2= 23\\5x = 25\\x = 5

Therefore, the value of "x" is 5.

8 0
2 years ago
Bobby is buying ribs for his 4th of July cookout. The ribs are on sale for $3.50 per pound. If Bobby buys 5.5 pounds of ribs, ho
Rama09 [41]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
When using the binomial formula, which of the following is a correct step in the expansion of (x+y)^4 ?
avanturin [10]
Here is the expansion of <span>(x + y)n </span><span>for </span><span>n = 0, 1,…, 5</span><span> :</span>

<span>(x + y)0 = 1</span> 
<span>(x + y)1 = x + y </span>
<span>(x + y)2 = x 2 +2xy + y 2 </span>
<span>(x + y)3 = x 3 +3x 2 y + 3xy 2 + y 3 </span>
<span>(x + y)4 = x 4 +4x 3 y + 6x 2 y 2 +4xy 3 + y 4 </span>
<span>(x + y)5 = x 5 +5x 4 y + 10x 3 y 2 +10x 2 y 3 +5xy 4 + y 5 
</span>
hopefuly this helps you understand


7 0
3 years ago
Round to 2 decimal places *
EleoNora [17]

Answer: The circumference of the dome is therefore 149.15 feet or 47.5π feet

Step-by-step explanation:

A scale is basically referred to as the ratio of the dimensions of an object as represented in a draft to the real or true dimensions of the object being drafted.

The figure(s) on the left of the ratio sign represents the size and dimensions of the model with respect to the actual size or dimensions of the object. On the other hand, the figure on the right hand size represents the actual dimensions and size of the real object.

So, if an object is being drawn with the ratio, 1cm : 5cm it means that the size of the object is being reduced because every 5cm of the actual object will always be represented by 1cm in the drawing. If the object is being drawn with a scale of 5cm : 1cm then the actual size of the object will be increased in the drawing. That is, for every 1cm in the actual dimensions of the object, there will be a 5cm representation in the drawing.

Now, the architect draws with a scale of 0.25 inches : 1 foot. If the diameter of the hemispherical dome is 23.75 inches in the scale model, then the actual diameter of the dome is:

0.25 inches ------- 1 foot

23.75 inches ------- ? feet

= 23.75/0.25 × 1

= 95 feet

Therefore, the actual diameter of the dome is 95 feet. We are now required to find the circumference of this dome.

The dome is a hemisphere which literally means half of a sphere. So, if the formula for finding the circumference of a sphere is πd, that of a hemisphere will then be πd/2. Since the diameter is already known to be 95 feet, the circumference of the hemisphere =

(π × 95)/2

=47.5π feet

Or

If π = 3.14, then the circumference = (3.14 × 95)/2 = 149.15 feet

The circumference of the dome is 149.15 feet or 47.5π feet

5 0
3 years ago
Bir sayinin 3 fazlasinin 2 katı ile ayni sayinin 2 katinin 3 fazlasinin toplami 23 e eşittir. buna gore assagidakilerden hangisi
sesenic [268]

Answer:

English plz

Step-by-step explanation:

3 0
3 years ago
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