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Serjik [45]
3 years ago
5

How to round 42429 to the nearest hundred thousand

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0
42300 you go down because the 2 is less than 5
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The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p
Stolb23 [73]

Answer:

First type of fruit drinks: 48 pints

Second type of fruit drinks: 32 pints

Step-by-step explanation:

Let's call A the amount of first type of fruit drinks. 55% pure fruit juice

Let's call B the amount of second type of fruit drinks. 80% pure fruit juice

The resulting mixture should have 65% pure fruit juice and 80 pints.

Then we know that the total amount of mixture will be:

A + B = 80

Then the total amount of pure fruit juice in the mixture will be:

0.55A + 0.8B = 0.65 * 80

0.55A + 0.8B = 52

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:

-0.8A -0.8B = -0.8*80

-0.8A -0.8B = -64

-0.8A -0.8B = -64

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0.55A + 0.8B = 52

--------------------------------------

-0.25A = -12

A = \frac{-12}{-0.25}

A = 48\ pints

We substitute the value of A into one of the two equations and solve for B.

48 + B = 80

B = 32\ pints

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3 years ago
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used
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Answer:

Step-by-step explanation:

If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.

Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.

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Answer:

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Step-by-step explanation:

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Five more than three times the number is one-third more than the sum of the number and itself.
disa [49]

The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Five more than three times the number is one-third more than the sum of the number and itself.

Let the number be n.

Then convert the sentence into a mathematical equation. Then the equation will be

3n + 5 = n + n + 1/3

The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.

The complete question is attached below.

More about the Algebra link is given below.

brainly.com/question/953809

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