Answer:
0.9
Step-by-step explanation:
14/15 = 0.933333333 <u>IF:</u>
<u></u>
<u>1.</u><em> You first change it into a decimal by dividing the numerator by the denominator.</em>
<em> </em>14 ÷ 15
<u>2.</u> <em>You will get a recurring decimal.</em>
<em> </em>0.933333333
<u>3.</u><em> The first digit after the decimal is in the position of the '</em><u><em>tenths'</em></u>
0.<u>9</u>
<u>4.</u><em> You should use only two digits after the decimal to calculate </em>
<em> 0.93</em>
<u>5.</u><em> Since the number 3 is less than five, it will change into a zero and get eliminated.</em>
<em> ∴ The answer will be = 0.9</em>
Answer:
3:7
Step-by-step explanation:
So to solve this problem, you have to understand what the ratio 1:4 and 2:3 means. The 1:4 ratio in the first equation means that for "each unit of alcohol" there is 4 of those units of water. So let's say I had 2 gallons of alcohol and mixed it with 8 gallons of water. This means for each gallon of alcohol, there is 4 gallons of water, or in other words a 1:4 ratio. This can be described as a percentage as well. For each 5 gallons there are 4 gallons of water, and 1 gallon of alcohol or <em>20%</em> is alcohol. So let's just say that x=alcohol and y=water, this means that:
where c is the total amount in the glass. This means that: 
Let's do the same thing to the second equation. the ratio means that for every 2 units of alcohol there are 3 units of water. This means for every 5 gallons of the mixture there is 2 units of alcohol which is 40%. In this case let's also say that j=alcohol and k=water. This means that:
and that:
.
So if we're going to add the two glasses, we simply add the two sides, and get:
. Now remember how can can express j and x in terms of c, since it's a certain percentage of c (the entire thing). This means that we get:
Now we can add like terms to get the equation:
. We can find how much 0.6c is to 2c by dividing the 2, in doing so we get that 0.6c/2c = 0.3, or in other words the 0.6c is only 30% of the final mixture, and since the 0.6c represents the alcohol in this mixture, that means that's the percentage of alcohol. To write this as a ratio, this means for every 3 units of alcohol, there is 7 units of water, because 3/10 = 30%.
The equivalent expressions of 22c + 33d are (a), (c) and (e)
<h3>How to determine the equivalent expressions?</h3>
The expression is given as:
22c + 33d
Factor out 11 from the expression
11(2c + 3d)
Multiply by 1
1 * 11(2c + 3d)
Express 1 as -1 * -1
-1 * -1 * 11(2c + 3d)
Evaluate the product
(-11) * (-2c - 3d)
Also, we have:
22c + 33d
Multiply by 1
(22c + 33d) * 1
Express 1 as 3/3
(22c + 33d) * 3/3
Evaluate the product
(66c + 99d) * 1/3
Hence, the equivalent expressions are (a), (c) and (e)
Read more about equivalent expressions at:
brainly.com/question/27911936
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Answer:
4k
Step-by-step explanation: