Which of the following is true?
Which of the following is true? - 1

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

A=45


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A candy distributor needs to mix a 30% fat-content chocolate with a 50% fat-content chocolate to create 200 kilograms of a 46% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Answers

Step-by-step explanation:

If x is the kilograms of 30% chocolate, and y is the kilograms of 50% chocolate, then:

x + y = 200

0.30x + 0.50y = 0.46(200)

Solving the system of equations with substitution:

0.30x + 0.50(200 − x) = 0.46(200)

0.30x + 100 − 0.50x = 92

8 = 0.20x

x = 40

y = 200 − x

y = 160

The distributor needs 40 kg of 30% chocolate and 160 kg of 50% chocolate.

Final answer:

To obtain 200 kilograms of a 46% fat-content chocolate, the candy distributor needs to mix 40 kilograms of a 30% fat-content chocolate and 160 kilograms of a 50% fat-content chocolate.

Explanation:

This problem can be solved using a basic mixture problem method. Let's name the amount of the 30% fat-content chocolate as 'x' and the amount of the 50% fat-content chocolate as 'y'. The total weight of the resulting chocolate is provided in the problem, 200 kilograms, therefore we know that x + y = 200.

The total fat in the chocolates should be 46% of 200kg, or 92kg. This gives us another equation based on the fat content, 0.3x + 0.5y = 92.

Solving these two equations linearly, we find the values of x and y. The amount of 30% fat content chocolate (x) is 40 kilograms and the amount of 50% fat-content chocolate (y) is 160 kilograms.

Learn more about Mixture Problem here:

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Given that a point of measure is 3m away from a tree, and the top of the tree is at a 60 degree angle from the ground,find the height of the tree.

Answers

So there is a right triangle.

The tree hight over the distance from the tree is equal to the tangent of the angle.

h / 3 = tan(60)

h / 3 = √(3)

h = 3√(3)

Final answer:

To find the height of the tree, we can use trigonometry and the tangent function. The height of the tree is approximately 5.2 meters.

Explanation:

To find the height of the tree, we can use trigonometry. We have a right triangle formed by the tree, the point of measure, and the ground. The distance from the point of measure to the tree is the adjacent side, and the height of the tree is the opposite side. We can use the tangent function to find the height:

tan(60°) = height/3m

height = 3m * tan(60°) = 3m * √3 ≈ 5.2m

Therefore, the height of the tree is approximately 5.2 meters.

Learn more about Finding the height of a tree using trigonometry here:

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Freddie is as half as tall as his mother .Freddie is one meter shorter than his father.
How tall is Freddie's mother?

Answers

Hi there! Freddie's mom is 1/2 a meter tall.

Answer:

0.25 1/2 of 1/2 is 0.25 sorry i just can't. studie peps. i want u to be this not this^﹏^

Step-by-step explanation:

-_--_--_--_--_-

A restaurant has 33,500 gallon aquarium and a 500 gallon aquarium. How many times greater is the capacity of the larger aquarium than the smaller aquarium?

Answers

Answer:

67

Step-by-step explanation:

33,500/500 = 67

To check our work:

67 x 500 = 33,500

Answer:

67 percentStep-by-step explanation:

What is the most accurate measurement of 1 mile

Answers

Answer:

there are 5280  feet in a mile

Step-by-step explanation:

Find the slope (m) and the y-intercept (b) of the given line on the graph. pls show work/explanation!

Answers

Answer:

m= 1/2

b= (0,6)

Step-by-step explanation:

Slope is rise over run

The y intercept is when x=o or just look at the vertical line