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3 years ago

Ron has 25 coins with a total value of $ 4.30 . the coins are dimes and quarters. how many of each coin does he have?

Mathematics

1 answer:

Gwar [14]3 years ago

4 0

25=d+q
4.30= .1d + .25q

25=d+q
-17.20=-.4d+-q

7.80= .6d
d=13...... 13 DIMES

25= 13+q
12=q....... 12 QUARTERS

You might be interested in

Dhaulagiri is the 7th highest mountain in the world. Ms. Fink is walking through

11111nata11111 [884]

Answer:

4833 m

Step-by-step explanation:

Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m

We use Pythagoras Theorem to get this done

We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top

Using the sine angle rule, we have

Sine 47.3 = 4900 / h

h = 4900 / sin 47.3

h = 4900 / 0.7349

h = 6668 m

This means that she was 6668 m away from the top of the mountain

She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000

Using the same sine angle rule, we have

Sine 58.5 = o / 5668

o = 5668 * sine 58.5

o = 5668 * 0.8526

o = 4833 m

She is 4833 m above the sea level

5 0

3 years ago

ABCD is a parallelogram. Find the values of x and y.

Komok [63]

Answer:

x = 8; y = 29

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.

8x = 7x + 8

x = 8

4y = y + 87

3y = 87

y = 29

6 0

3 years ago

Read 2 more answers

Which option will result in the most exercise per day?

Ilya [14]

60 minutes is an hour , you haven't given out what the 15, 30 and 60 are , and the 1 , 2 and 4 are(minutes or hours?)

8 0

2 years ago

Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb

Maksim231197 [3]

Answer:

$n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689$

So the answer for this case would be n=689 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: "Suppose that the minimum and maximum ages for typical textbooks currently used in college courses are 0 and 8 years. Use the range rule of thumb to estimate the standard deviation.

Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb to estimate the standard deviation. Next, find the size of the sample required to estimate the mean age (in years) of textbooks currently used in college courses. Use a 90% confidence level and assume that the sample mean will be in error by no more than 0.25 year."

Solution for the problem

First we need ti find the estimation for the standard deviation using the Rule of thumb, with the following formula:

$s \approx \frac{R}{4}$

Where R is the range defined as :

$R = Max - Min = 8-0 = 8$

So then the deviation would be approximately:

$s \approx 4$

Important concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error (ME) is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that $ME =\pm 0.25$ and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (2)

We can assume that the estimator for the population deviation from the rule of thumb is $\hat \sigma = s= 4$

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got $z_{\alpha/2}=1.64$ , replacing into formula (2) we got:

$n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689$

So the answer for this case would be n=689 rounded up to the nearest integer

6 0

3 years ago

The sum of 3 consecutive integers is 201. What are the integers?

seraphim [82]

Answer:

Step-by-step explanation:

the consecutive numbers can be represented by (n-1), n, and (n+1), where n is an integer.

(n-1) + n + (n+1) = 201

3n = 201

n = 67

66, 67, 68

8 0

2 years ago