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Valentin [98]
3 years ago
5

1/3 + 1/4 and the the sinplest form

Mathematics
1 answer:
Verizon [17]3 years ago
8 0
The least common multiple between 3 and 4 is 12, so we can use this fact to rewrite both 1/3 and 1/4 in 12ths:

\big( \frac{1}{3}\times \frac{4}{4}\big) + \big(\frac{1}{4}\times \frac{3}{3}\big)=\\ = \frac{4}{12}+ \frac{3}{12}\\\\ = \frac{7}{12}

We're left with an answer of 7/12, which can't be reduced.
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Marni writes this system to determine how much of each ingredient Alyssa plans to buy. She uses x to represent
liubo4ka [24]

Answer:

Alyssa buys 4 cups of frozen fruit puree and  2 cups of yogurt.

Step-by-step explanation:

Here, x =  Represent  cups of frozen fruit puree

         y =   Represent cups of yogurt.

The given system of equations by Marni  are:

x + y = 6,

2x + 3y = 14

After first step of elimination,the equations are:

-2x - 2y = -12

2x + 3y = 14

Now, ADD BOTH THE EQUATIONS to eliminate the variable x:

-2x - 2y +  (2x + 3y)   =  -12   + 14

or, y = 2

Now, put y =2 in x + y =6, we get

x = 6 - y = 6 -2 = 4

So, x = 4 and y = 2 is the solution of the given system.

Hence,  Alyssa buys 4 cups of frozen fruit puree and She  buys  2 cups of yogurt.

5 0
3 years ago
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Write the value of f(-3).<br> f(x) = -x2 + 3x - 11
Novay_Z [31]

Answer:

The exact value is -3f

Step-by-step explanation:

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Which of the following is the same as 8.4 × 10 to the 2nd power
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Vedmedyk [2.9K]

Answer:

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Step-by-step explanation:

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nydimaria [60]

Answer:

25x² - 16

Step-by-step explanation:

Given

(5x + 4)(5x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

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= 25x² - 16

6 0
3 years ago
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