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katrin [286]
3 years ago
12

X - Y = 11 2x + Y = 19 where do the lines cross

Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0
Just solve the equations:
<span>A) X - Y = 11
B) 2x + Y = 19
Multiply A) by -2
</span>
<span>A) -2X  +2Y = -22 then add to B)
</span><span>B) 2x + Y = 19
3Y = -3
Y=-1
</span>
<span>A) X - -1 = 11
x = 10

</span>
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14 over 15 rounded to the nearest tenth
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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>

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<u>4.</u><em> You should use only two digits after the decimal to calculate </em>

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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%.

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Readme [11.4K]

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

#SPJ1

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Step-by-step explanation:

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