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Makovka662 [10]
3 years ago
10

You have a piggy bank made of only dimes and quarters. There are 42 coins and their value is $6.75. How many dimes and quarters

are there in the piggy bank?
Mathematics
1 answer:
babunello [35]3 years ago
7 0
There are 23 quarters and 19 dimes
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Which system of equations can be used to find the roots of the equation 4x^2=x^3+2x?
irina [24]
Next time, please share the answer choices.
Starting from scratch, it's possible to find the roots:

<span>4x^2=x^3+2x should be rearranged in descending order by powers of x:

x^3 - 4x^2 + 2x = 0.  Factoring out x:  </span>x(x^2 - 4x + 2) = 0

Clearly, one root is 0.  We must now find the roots of (x^2 - 4x + 2):

Here we could learn a lot by graphing.  The graph of y = x^2 - 4x + 2 never touches the x-axis, which tells us that (x^2 - 4x + 2) = 0 has no real roots other than x=0.  You could also apply the quadratic formula here; if you do, you'll find that the discriminant is negative, meaning that you have two complex, unequal roots.
5 0
2 years ago
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What is 50% of 64?
Dmitriy789 [7]

Answer:

50% = 50/100 = 0.5

20% = 20/100 = 0.2

25% = 25/100 = 0.25

10% = 10/100 = 0.1

Now let's begin our calculation

50% of 64=(0.5*64)=32

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25% of 16 = (0.25*16) =4

10% of 200=(0.1*200)=20

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Step-by-step explanation:

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Which of the following functions has a period of 8 π ?
KengaRu [80]
<h3>Answer: Choice B</h3>

Explanation:

The general template of a sine function is

y = Asin(B(x-C))+D

The value of B is the only thing that determines the period T. We ignore every other term.

It turns out that T = 2pi/B which can be solved to B = 2pi/T

Plug in the given period of T = 8pi and compute to get

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B = (2pi)/(8pi)

B = 2/8

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This means that the term out front of the x is 1/4 and the equation must be y = \sin\left(\frac{1}{4}x\right) which matches with answer choice B.

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PilotLPTM [1.2K]
First find the amount of tax by multiplying 21 × 8.5%.

.085 × 21 = 1.785 = 1.79 (rounded)

Now add the tax back into the price...

21 + 1.79 = $22.79
5 0
3 years ago
Help me quick please
Juliette [100K]

Answer:

a

Step-by-step explanation:

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