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rjkz [21]
3 years ago
10

A woman has twice as many dimes as quarters in her purse. If the dimes were quarters and the quarters were dimes, she would have

$1.20 more than she now has. How many of each does she have now?
Mathematics
2 answers:
Fudgin [204]3 years ago
6 0

Answer:

8 Quarters and 16 Dimes

Digiron [165]3 years ago
4 0
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:

z = 0.25x + 0.10(2x)

Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:

1.2 + z  = 0.25(2x) + 0.10(x)

Plug in the values you know:

1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)

Solve for x:

1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8

This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:

She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.

If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
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Step-by-step explanation:

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SCORPION-xisa [38]

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3 years ago
Birth weights in the United States are normally distributed with a mean of 3420 g and a standard deviation of 495 g. The Newport
s344n2d4d5 [400]

Answer:

P(2450

And we can find this probability with this difference:

P(-1.96

If we use the normal standard table or excel we got:

P(-1.96

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

Step-by-step explanation:

Let X the random variable that represent the birth weights of a population, and for this case we know the distribution for X is given by:

X \sim N(3420,495)  

Where \mu=3420 and \sigma=495

We are interested on this probability

P(2450

And we can use the z score formula given byÑ

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(2450

And we can find this probability with this difference:

P(-1.96

If we use the normal standard table or excel we got:

P(-1.96

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

6 0
3 years ago
Please help ASAP!!!??
Mazyrski [523]

Answer:

\{-2,-1,1,2,4\}

Step-by-step explanation:

Given

The attached graph

Required

Determine the range of the graph

First, we list out the coordinate of each point on the graph:

The points are:

\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}

A function has the form: (x,y)

Where

y = range:

From the coordinate points above,

y = \{-1,-2,2,1,4\}

Order from least to greatest"

y = \{-2,-1,1,2,4\}

Hence, the range are: \{-2,-1,1,2,4\}

4 0
3 years ago
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
Brut [27]

Answer:

Yes, because when the values are substituted in, the equation becomes a true statement

Step-by-step explanation:

plug in the values for x and y and see if the equation makes sense

x=3

y=11

1/3(3)+11=12

1+11=12

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Since the above equation is true, the point is a solution for the linear equation.

7 0
3 years ago
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