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Julli [10]
3 years ago
11

Teresa is making iced tea. She has a container that has a volume of 3.95 gallons to store the iced tea.

Mathematics
1 answer:
TEA [102]3 years ago
8 0
Is that the whole question?-
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The graph of y = 1 x is vertically stretched by a factor of 3, reflected across the y-axis and shifted to the left by 2 units. Wh
galben [10]

y = 3(-x - 2)

Any horizontal transformations or reflections you make to y = x must be within the parentheses.

8 0
3 years ago
Write the polynomials in standard form:<br><br> (15–7xy^2)–(y^3–y^2x–15)
stepan [7]
<h3>Answer:</h3>

-y³ -6y²x +30

<h3>Step-by-step explanation:</h3>

When parentheses are eliminated and the y variable placed first in each term, the expression simplifies to ...

... 15 -7y²x -y³ +y²x +15

Arranging like terms together, we have ...

... -y³ +y²x(-7 +1) +(15 +15)

... -y³ -6y²x +30

_____

The two different 3rd-degree terms can be expressed in either order. I have chosen to list the term with the largest exponent first. The expression could also be written with the same-degree terms in "lexicographical order", meaning the expression would be written ...

... -6xy² -y³ +30

7 0
3 years ago
Write 2/15 as a decimal.
Cloud [144]
If you need to write a number as a decimal, it means that you need to write is a an x divided by a power of 10.
you can use this formula:
\frac{2}{15} = \frac{x}{10}

now let's multiply both sides by 10:
\frac{20}{15} = x
and simplyfy:
(by dividing the first fraction's elements by 5)
\frac{4}{3} = x

change improper fraction into a mixed number
1\frac{1}{3} = x

and 1 over 3 is 0.33333...

so the  answer is 1.333333 - we can also write it as 1.(3)
5 0
3 years ago
What is the expression in radical form? (4x^3y^2)3/10
stiv31 [10]

4x^3y^2(3) /10

Answer: 6/5 X^3 y^2

4 0
3 years ago
Read 2 more answers
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%.

3 0
2 years ago
Read 2 more answers
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