a company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content. One of the two types of apple contains 10% real-juice content and the other contains 15% real juice content. how many bushels of each type of apple are needed?

Answers

Answer 1

Answer:

400 bushels of the 15%

600 bushels of the 10%

Step-by-step explanation:

x bushels of the 15%  plus the balance of 1000 bushels at 10% yield 1000 bushels at 12%

15x + 10(1000 - x) = 12(1000)

distribute

15x + 10000 - 10x = 12000

Combine like terms

5x = 2000

Divide both sides by 5

x = 400 bushels of the 15%

1000 - x = 600 bushels of the 10%

Answer 2

The number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A company blends 1000 bushels of two types of apples to make a beverage that contains 12% real-juice content.

Let x be the bushels.

One of the two types of an apple contains 10% real-juice content and the other contains 15% real juice content.

The linear equation can be framed:

15x + 10(1000 - x) = 12(1000)

By using the distributive property:

15x + 10000 - 10x = 12000

5x = 2000  (combine like terms)

x = 400 bushels of the 15%

= 1000 - x

= 1000 - 400

= 600 bushels of the 10%

Thus, the number of bushels of the 15% is 400, and the number of bushels of the 10% is 600.

Learn more about the linear equation here:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Perimeter of a trapezoid is 39a-7. Three sides have the following length 9a, 5a+1, and 17a-6 what is the length of the fourth side

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:

In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.

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Divide both sides by (r × t ) to isolate P :

[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]

[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]

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[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]

Therefore, the principal amount invested is $14,350.

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Answers

Answer:

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Step-by-step explanation:

for the 50th term 242

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Answers

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Step-by-step explanation:

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the same thing happens again,

1 x 3 +1=4

4/2=2

2/2=1

therefore the number is 1 when I first started

Answer: If this is a True or False Question the Answer is False

Step-by-step explanation:

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Check the picture below.

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Answers

Answer:

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Step-by-step explanation:

54 total

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(Please mark ask brainiest)

Thanks!

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Step-by-step explanation:

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Answer:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answer:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answer:

Step-by-step explanation:1

consider h(x)=x^2+8+15. identify its vertex and y-intercept.

Answers

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex].

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In the quadratic function, h(x) = x² + 8x + 15, where:

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Substitute the given values for a and b into the equation to solve for the x-coordinate of the vertex.

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The y-intercept is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

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Answers

1km is equivalent to 1000m,Accordingly,86 km is equivalent to 86000m

Answer:

86000 meters

remeber:   1km = 1000m

so.....

86 x 1000 = 86000 right?? ;-;

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Answers

Answer:

0.6 cm

Step-by-step explanation:

15/25=0.6

Answer:

0.6 Is the answer

Step-by-step explanation:

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