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2 years ago

Giuliana has 22 quarters and dollar coins worth a total of $10.75.

Mathematics

2 answers:

deff fn [24]2 years ago

7 0

Answer:

Step-by-step explanation:

Maslowich2 years ago

6 0

Answer:

C. $0.25(22-d)+d=10.75$

Step-by-step explanation:

Let d represent the number of dollar coins.

We have been given that Giuliana has 22 quarters and dollar coins. So number of quarter coins would be $22-d$ .

We know that value of a quarter is $0.25. So all quarter coins will be worth $0.25(22-d)$

We are also told that these coins worth a total of $10.75. This means that d dollar coins and $0.25(22-d)$ worth 10.75. We can represent this information in an equation as:

$0.25(22-d)+d=10.75$

Therefore, option C is the correct choice.

Upon solving our equation we will get,

$5.5-0.25d+d=10.75$

$5.5+0.75d=10.75$ \

$5.5-5.5+0.75d=10.75-5.5$

$0.75d=5.25$

$\frac{0.75d}{0.75}=\frac{5.25}{0.75}$

$d=7$

Therefore, Guiliana had 7 dollar coins.

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2 years ago

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Answer:

See Below

Step-by-step explanation:

The function is a piecewise function defined as:

$N(t)=\left \{ {{25t+150} \ 0 \leq t \leq 6 \atop {\frac{200+80t}{2+0.05t} \ t \geq 8}} \right.$

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We will take the 2nd part of the equation since t falls into that range, t is infinity, which is definitely greater than 8.

$\lim_{t \to \infty} \frac{200+80t}{2+0.05t} \\\lim_{n \to \infty} \frac{80t}{0.05t}\\ \lim_{n \to \infty} \frac{80}{0.05} =1600$

This means the maximum number of fish at this pond is 1600, no matter how long it goes on.

A function is continuous at a point if we have the limit and the functional value at that point same.

Functional value at t = 8 is (we use 2nd part of equation):

$\frac{200+80t}{2+0.05t}\\\frac{200+80(8)}{2+0.05(8)}\\=350$

We do have a value and limit also goes to this as t approaches 8.

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2 years ago

Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide (I made this up). What is the rate of cha

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50 years ... 2.5 degrees
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50 * x = 2.5 * 1
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x = 2.5 / 50
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Result: The rate of change is 0.05 degrees per year.

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2 years ago

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2 years ago

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Answer:

Step-by-step explanation:

Given is an algebraic polynomial of degree 5.

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Hence any polynomial of this type would have the same possible rational roots.

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2 years ago