When adding to integers with different signs, how do you find the sign?

Mathematics

1 answer:

navik [9.2K]4 years ago

4 0

Answer:

the largest number would be the sign that that number has

Step-by-step explanation:

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DochEvi [55]

Answer:

4 quarters

10 tenths

Step-by-step explanation:

<h3>Tenths</h3>

$\frac{1}{10}$

<h3>Quarter</h3>

$\frac{1}{4}$

<h3>Whole</h3>

$1$

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$1 = \frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$

∴ There are <u>4</u><u> </u><u>quarters</u> to make a whole

$1 = \frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}$

∴ There are <u>10</u><u> </u><u>tenths</u><u> </u>to make a whole

5 0

3 years ago

Help!!!!!!<br> Please and thank you

fenix001 [56]

Answer:

1. A

2. B

3. A

Step-by-step explanation:

Hope this helps!

5 0

3 years ago

A glass contains alcohol and water in the ratio 1:4. A second glass contains the same quantity of liquid, but this time the rati

AnnyKZ [126]

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: $x+y=c$ where c is the total amount in the glass. This means that: $x=0.20c$

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: $j+k=c$ and that: $j=0.40c$ .

So if we're going to add the two glasses, we simply add the two sides, and get: $j+x+k+y=2c$ . 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: $(0.4c+0.2c)+x+k=2c$ Now we can add like terms to get the equation: $0.6c+y+k=2c$ . 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%.