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1 year ago

a pound of coffee beans yields 50 cups of coffee. How many millimeters of coffee can be obtained from 1.0 g of coffee beans?

Mathematics

1 answer:

shtirl [24]1 year ago

6 0

It is found that 260.55682 millimeters of coffee can be obtained from 1.0 g of coffee beans.

<h3>What is the unitary method?</h3>

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given :

(1 lb =454 g, 1 L= 1.0567 qt, 4 cups=1 qt, 1 L=1000 mL)

One pounds of coffee beans = 50 cups of coffee

The Number of mL of coffee that can be obtained from 10 g of coffee beans.

1 pound = 454g

10 * 50 cups = 500 cups / 454 = 1.1013215 cups

1.1013215 / 4 = 0.2753303 qt

0.2753303 qt / 1.0567 qt = 0.2605568 L

0.2605568 L * 1000 = 260.55682 mL

Learn more about the unitary method;

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John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the n

musickatia [10]

Answer:

(D) 36%

Step-by-step explanation:

Actual cost of truck = $4500

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Money left to be paid = 4500-1500 = $3000

A = Monthly payments = 350

n = 10

Principal value (P) = 3000

Using formula,

A= $\frac{Pr(1+r)^{n}}{(1+r)^{n}-1}$

350 = $\frac{3000r(1+r)^{10}}{(1+r)^{10}-1}$

= 36% (approx)

Hence (D) is correct.

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3 years ago

Which expression is not equivalent to –3x + 24? Select all that apply.

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Answer:

Step-by-step explanation:

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2 years ago

A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.

k0ka [10]

The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.

Let x be the number of hours for the doctor's office and y be the number of hours for the tutor.

The student cannot work more than 20 hours each week.

x + y < 20 ...1

15x + 25y > 375 ...2

The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.

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2 years ago

To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.

galina1969 [7]

Answer:

Step-by-step explanation:

We want to solve the equation:

$5\sin(2x)=3\cos(x)$

To do so, we can rewrite the equation.

Recall the double-angle for sine:

$\sin(2x)=2\sin(x)\cos(x)$

By substitution:

$5\left(2\sin(x)\cos(x)\right)=3\cos(x)$

Distribute:

$10\sin(x)\cos(x)=3\cos(x)$

We can subtract 3cos(x) from both sides:

$10\sin(x)\cos(x)-3\cos(x)=0$

And factor:

$\cos(x)\left(10\sin(x)-3\right)=0$

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

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2 years ago

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Please help find the value of x<br> find value angle of WAY <br> find value angle of XAY

stealth61 [152]

Answer:

(x-10)° + (x + 14)° = 180°

=> x° - 10° + x° + 14 ° = 180°

=> 2x° + 4° = 180°

=> 2x° = 176°

=> x° = 176°/ 2

=> x° = 88°

Therefore the magnitude of x° = 88° (ans)

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3 years ago