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soldier1979 [14.2K]
2 years ago
14

Nicola used 25% of the milk she collected from her goats this morning to make cheese. If she has 8. 4 quarts of milk left over,

how many quarts of milk did she collect this morning?.
SAT
1 answer:
gregori [183]2 years ago
8 0

The amount of milk she got in the morning to make cheese is; 11.2 quarts

<h3>Understanding Fraction word problems</h3>

Let the amount of milk that she collected from her goats in the morning be x quarts

She used 25%. Thus, amount used = 25% * x = x/4 quarts

She now has 8.4 quarts left.

Thus, we can have the expression;

x - (x/4) = 8.4

3x/4 = 8.4

x = (4 * 8.4)/3

x = 11.2 quarts

In conclusion, amount of milk she got in the morning to make cheese = 11.2 quarts

Read more about Fraction Word Problems at; brainly.com/question/13818690

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At an ocean depth of 20 meters, a buoy bobs up and then down 2 meters from the ocean's depth. Four seconds pass from the time th
stiv31 [10]

The first and second coordinate points of the sine graph are;

(0, 20) and (2, 22)

<h3>Sine Graph expression</h3>

The general formula we will use to plot the graph is;

y = [Asin (2πx/t)] + ∅      (Note that sin is in radians)

where;

A is amplitude

t is period

∅ is phase shift

We are told that the buoy bobs up and then down 2 meters from the ocean's depth. This means that;

Amplitude; A = 2

Now, Four seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Thus;

Period = 2 * 4 = 8 seconds

Assume at x = 0, the buoy is at normal ocean depth. Thus;

Phase shift; ∅ = 20

Thus, we have;

y = [2sin((2πx/8)] + 20  

At x = 0, we have;

y = [2sin((2π*0/8)] + 20  

y = 0 + 20

y = 20

Thus, first point is; (0, 20)

Since the second point must be a maximum or minimum value on the graph closest to the first point, then we put 2 for x to get the coordinate of the second point;

y = [2sin((2π*2/8)] + 20  

y = [2sin((2π*2/8)] + 20  

y = [2sin(π/2)] + 20  

In radians, sin(π/2) = 1. Thus;

y = (2 * 1) + 20

y = 22

Second point is (2, 22)

Using the first and second point coordinates, we will use sine tool to graph the function as attached below.

Read more about sine graph at; brainly.com/question/18055768

3 0
2 years ago
one part of paint thinner is used to create 5 parts of paint mixture a painter has 12 ounces of paint how many ounces of thinner
Law Incorporation [45]

Answer:

In order to use all the paint in a paint mixture in the same ratio of 1:5, the painter needs 2.4 ounces of paint thinner

Explanation:

The given parameters are;

The number of parts of thinner used to create 5 parts of paint mixture = 1 part

The amount of paint the painter has = 12 ounces

The amount of thinner is given by the relation;

Ratio of thinner to paint mixture = 1:5

Which gives, 1 part of thinner is required for 5 parts of paint mixture

1/5 parts of thinner is required for 1 part of paint mixture

Therefore, 12/5 or 2.4 parts of thinner will be required for 12 parts of paint mixture

Which gives;

2.4 ounces of thinner will be required for 12 ounces of paint mixture

Therefore, in order to use all the paint in a paint mixture in the same ratio of 1:5, the painter needs 2.4 ounces of thinner.

6 0
3 years ago
Why were factories more profitable than the cottage industry approach to textile production?.
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Answer:

Homemade items took longer to create and were not always equal in quality.

Explanation:

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2 years ago
A population of values has a normal distribution with μ = 21.9 μ = 21.9 and σ = 47.4 σ = 47.4 . You intend to draw a random samp
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Answer:

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Explanation:

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2 years ago
Which of these correctly identifies the way materials are transported in a plant? Select one: Phloem carries water from the flow
astra-53 [7]

Answer: Xylem carries water from the roots to the leaves.

Explanation:

The above option is a missing option to your question and the correct one.

The Xylem is a kind of vascular tissue that plants have which helps in the transportation of water. It gets water from the roots and transports it to the leaves. It also transports dissolved minerals in the water to those leaves as well.

Phloem tissue transports food from the leaves where it is made to the roots.

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3 years ago
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