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3 years ago

8

owen has a collection of nickels and quarters worth $8.10. If the nickels were quarters and the quarters were nickels, the value

would be $17.70. Find the number of each coin.

1 answer:

prisoha [69]3 years ago

4 0

There are 67 nickels and 19 quarters.Im pretty sure

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Y = x2 + 4<br> y = x + 6

Nataliya [291]

Answer:

X=2

Y=8

Step-by-step explanation:

Since both equations are equal to y we can equal both equations

2x+4=x+6

x=2

y=2(2)+4

y=8

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3 years ago

How much will I get if I get a 8 percent of $108000

iren [92.7K]

Answer:

8,640

Step-by-step explanation:

EASY PERIOD

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3 years ago

Use the graph to find the solution of the system of equations {y = x^2 + 6x + 8 {y = x + 4

Phantasy [73]

Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.

One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:

x^2 + 6x + 8 = x + 4

We can then combine like terms, or move everything to one side. So we get:

x^2 + 5x + 4 = 0.

Then we can use the quadratic formula to solve for x.

x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)

This simplifies into:

(-5 +/- 3)/2

Finally we add and subtract:

(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4

And our solution is x = -1, x = -4

8 0

3 years ago

Whoever answers right I’ll give you Brinley

Aleks [24]

Answer:

correct answer B.

Step-by-step explanation:

hoped i helped :) can u mark brainiest pls!!

5 0

3 years ago

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}$

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

$S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875$

8 0

4 years ago