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Aliun [14]
1 year ago
10

A small batch of trail mix contains 2 cups of raisins, 2 cups of peanuts, 1 cup of sunflower seeds, and 1 cup of chocolate coate

d candies. A large batch has the same ratio of ingredients as a small batch. If the large batch has 8 cups of peanuts, how many cups of sunflower seeds are in the large batch?
Mathematics
1 answer:
Serhud [2]1 year ago
8 0

Answer:

4 CUPS OF SUNFLOWER SEEDS for the larger batch

Step-by-step explanation:

From the small batch:

2 cups of peanuts= 1 cup of sunflower seeds

Since the ratios are thesame, it therefore means that the proportion will be thesame.

For the large batch:

8 cups of peanuts = X cups of sunflower seeds.

Mathematically, let's express it as:

Let p = cups of peanuts

S= cups of sunflower seeds

X = unknown number of sunflower seeds

Therefore, connecting equation is:

2P = 1S

8P = X's

Cross Multiply to solve for X

X's * 2P = 1S * 8P

2PX = 8P

X = 8P / 2P

It therefore means that there'll be a need of:

4 CUPS OF SUNFLOWER SEEDS for the larger batch

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David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P)(P)left parenthesis, P
Mars2501 [29]

Answer:

The hourly charge is $4 per hour for the first 3 hours.

The rate then drops to $2 per hour until the end of the 6th hour.  

The hourly rate drops further to $1 per hour between the 6th and 10th  hours.

The maximum price of the bike rental is $30.

Step-by-step explanation:

The slope of the graph corresponds to the hourly rate for the bike rental.

During the first three hours of the bike rental, the price increases by $4 each hour.

Between the 3rd  and 6 th hours, the slope of the graph is 2, which means the hourly rate of the bike rental is $2 per hour.

Between the 6th and 10th hours, the rate is $1 per hour.

After the 10th  hour, the price, P, stops increasing. The maximum price of the bike rental is $30.

6 0
2 years ago
Order from least to greatest 2.8%, 7/40, 1/50, 0.044
lord [1]

Answer:

1/50 < 2.8% < 0.044 < 7/40

Step-by-step explanation:

2.8%, 7/40, 1/50, 0.044

  • 2.8% = 0.028 = 28/1000
  • 7/40 = 0.175 = 175/1000
  • 1/50 = 0.020 = 20/1000
  • 0.044 =  44/1000

<u>Ordering in ascending order</u>

  • 20/1000 < 28/1000 < 44/1000 < 175/1000

<u>Same order in original numbers</u>

  • 1/50 < 2.8% < 0.044 < 7/40
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2 years ago
Find a ⋅ b. a = 6i - 6j, b = 4i + 2j
Marat540 [252]

You multiply the two vectors to get an answer of 12.

7 0
2 years ago
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The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

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Is 0.15893 rational or irrational?
Ganezh [65]
It would be irrational
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2 years ago
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