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Mamont248 [21]
3 years ago
15

A recipe calls for 3/4 cup of butter. Angie wants to triple the recipe, but she has only 1 5/8.

Mathematics
1 answer:
Lyrx [107]3 years ago
7 0
Let's start out by tripling the original recipe to see how much butter Angie needs.

\frac{3}{4} * 3 = total
\frac{3* 3}{4} = total
\frac{9}{4} = total
2 \frac{1}{4} = total

So we need 2 \frac{1}{4} cups of butter, but Angie only has 1 \frac{5}{8}. Let's subtract what Angie has from the total to see how much more she needs.

2 \frac{1}{4}  -  1\frac{5}{8} = n
\frac{9}{4} - \frac{13}{8} = n
we will need the least common denominator for both fractions
\frac{2}{2} *(\frac{9}{4}) - \frac{13}{8} = n
\frac{18}{8} - \frac{13}{8} = n
\frac{5}{8} = n

So Angie need \frac{5}{8} cups more of butter for the recipe.

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Please help!!!! 30 pts
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5/6 x -2 = -2/3 x +1.

Note: when we have fracions in an equation, we always try to get rid fractions by removing denominator parts.

In the given equation we have 6 and 3 in denominator. So, we need to find the common denominator (lowest common denomiantor) of 6 and 3.

The lowest common denomiantor of 6 and 3 is 6.

So, equation is being multiplied by 6 on both sides.

Therefore,

Step 1) Multiply each side by LCD of fractions.

6 ( 5/6 x -2 ) = 6 (-2/3 x +1)

Step 2) Use distributive property to simplify above step, we get

6* 5/6 x = 5x

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6 * -2/3 x = -4x and

6 * 1 = 6.

Therefore, we get

5x - 12 = -4x + 6 on simplifying second step.

Step 3) We use Addition property of Equality in third step.

Because we have -4x on right side, and the reverse operation of subtraction is addition.

5x - 12 = -4x + 6

+4x        +4x    Step 4) Here we just did simplification of above step.

____________________

9x -12  = 6

  +12   +12     Step 5) Again applied Addition property of Equality to get rid -12 from left side.  

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9x  = 18         Step 6) Here we just did simplification of above step.

Step 7) Because 9 is being multiplied with x on left side. To get rid 9 from left side we need to apply reverse operation of multiplication.

Therefore, Division property of equality is used there by dividing 9 on both sides.

9x/9 = 18/9  

Step 8) Again did simplification of above step.

x=2 Final answer.

3 0
3 years ago
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Nasser invested $550 at 6% simple interest for 5 years. What was his investment worth after 5
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Answer:

B. $715

Step-by-step explanation:

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Answer:

see below

Step-by-step explanation:

(3x + 8) units by (6x + 5) units.

A = l*w

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Answer:

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