Lauren has a purse full of dimes and quarters. She has 25 less dimes than quarters. If she has a total of $10.45, which system of equations would she write to find the number of dimes, d and quarters, q?​

Answers

Answer 1

Answer:

D(0.10) + Q(0.25) = 10.45

Q = D + 25 (or Q - D = 25)

Step-by-step explanation:

D = number of dimes

Q = number of quarters

D(0.10) + Q(0.25) = 10.45

Q = D - 25 (or D - Q = 25)

We multiply the number of dimes she has by $0.10, because that is the worth of each dime, and we multiply the number of quarters she has by $0.25 because that is the worth of each quarter. We then set that equal to $10.45, the overall value of her coins.

Because she has 25 less dimes than quarters, the number of dimes she has should be 25 less than the number of quarters she has. So the number of quarters she has should be equal to the number of dimes she has plus 25.


Related Questions

please help giving lot of points

Answers

Answer:

They would need to sell 32 calendars to EXCEED their goal.

Explanation:

8 x 32= 256, which is more than the $250 needed!

Step-by-step explanation:

8x32=256 which is a lot more than needed

B
C
x
50°
A
D
ABCD is a rectangle.
AC and BD are straight lines.
The angle between AC and BD is 50°.
Work out the size of the angle marked x.

Answers

Answer:

The answer is : x = 130 degrees

order the following from least to greatest 5.392, 5.932, 0.593, 0.9

Answers

Answer:

0.593, 0.9, 5.392, 5.932

Step-by-step explanation:

hope this helps^-^

0.593, 5.392, 5.932, 0.9
Hope that helped

Simplify (4+y) + (8y - 5)

Answers

Answer:

it is 9y-1

Step-by-step explanation:

You have to simplify the expressions.

The breaking strengths of cables produced by a certain manufacturer have a mean, u, of 1750 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 100 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1754 pounds. Can we support, at the 0.1 level of significance, the claim that the mean breaking strength has increased

Answers

Answer:

We accept the null hypothesis that the  breaking strength mean is less and equal to 1750 pounds and has not increased.

Step-by-step explanation:

The null and alternative hypotheses are stated as

H0:  u ≥ 1750   i.e the mean is less and equal to 1750

against the claim

Ha: u > 1750  ( one tailed test)  the mean is greater than 1750

Sample mean = x`= 1754

Population mean = u = 1750

Population deviation= σ = 65 pounds

Sample size= n = 100

Applying the Z test

z= x`- u / σ/ √n

z= 1754- 1750 / 65/ √100

z= 4/6.5

z= 0.6154

The significance level alpha = 0.1

The z - value at 0.1 for one tailed test is ± 1.28

The critical value is z > z∝.

so

0.6154 is < 1.28

We accept the null hypothesis that the  breaking strength mean is less and equal to 1750 pounds and has not increased.

You want to cover a circular clock in fabric. If the radius of the clock is 6 inches. then how many square inches of fabric will you need?​

Answers

Answer:

18.84

Step-by-step explanation:

To find the diameter of an question, multiple the radius by 2, since the radius always covers half of the circular clock. Then multiple 12 x pi = 18.84.

(pi = 3.14)

What is 3.65 x 5
‍♀️

Answers

Answer:

18.25

Step-by-step explanation:

Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.

Answers

Answer:

0.01521

Step-by-step explanation:

The Margin of Error for Difference in Proportions is given as:

z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2

z = z score for 95% confidence interval

= 1.96

In 2018, out of 1542 respondents, 415 said it was the most important.

p1 = x1/n1

x1= 326 n1 = 1323

p1 = 326/1323

0.246409675

Approximately = 0.246

In 2012, out of 1323 respondents, 326 said it was the most important.

p2 = x2/n2

x2 = 415, n2 = 1542

p2= 415/1942

p2 = 0.2136972194

Approximately = 0.214

Margin of Error =

1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542

1.96 × √0.0005699169 - 0.0005097276

1.96 × √(0.0000601893)

1.96 × 0.0077581763

= 0.0152060256

Approximately = 0.01521

Therefore, Margin of Error = 0.01521

You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

How to calculate margin of error for difference in proportion to find the margin of error ?

Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are  [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:

[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]

where we have:

[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]

and

[tex]\alpha = \text{Level of significance}[/tex]

Using the given data to get the margin of error

[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]

For 95% confidence, we have Z score as 1.96

The proportions are calculated as:

[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]

Thus, margin of error is calculated as

[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

Learn more about margin of error here:

https://brainly.com/question/4757147

Please help I don't get this question

Answers

Answer:

D because 9 + 5 = 14 and one variable by itself is equal to 1 so 14 + 1 = 15 add the variable, 15x

What is 0.0000381 in scientific notation​

Answers

Answer:

Step-by-step explanation:

Move the decimal place to the right until you get 3.81, that is 5 places. When you move a decimal place to the right, you have to subtract from the power.

[tex]3.81*10^-^5[/tex]

Answer:

3.81x10^-5

Step-by-step explanation:

10.A noted psychic was tested for ESP. The psychic was presented with 200 cards face down and askedto determine if the card was one of five symbols: a star, cross, circle, square, or three wavy lines. Thepsychic was correct in 50 cases. To determine if he has ESP, we want to know if his success rate is betterthan someone who just guesses. That is, we test the hypotheses H0: p

Answers

Answer:

Step-by-step explanation:

The sample proportion [tex]\hat p = \dfrac{50}{200}[/tex]

[tex]\hat p = 0.25[/tex]

The null hypothesis and the alternative hypothesis:

[tex]H_o: p = 0.20 \\ \\ H_1 : p > 0.20[/tex]

Thus; the test statistics is:

[tex]Z = \dfrac{\hat p - p_o}{\dfrac{p_o(1-p_o)}{n} }[/tex]

[tex]Z = \dfrac{0.25 -0.20}{\sqrt{\dfrac{0.20(1-0.20)}{200} }}[/tex]

[tex]Z = \dfrac{0.05}{\sqrt{\dfrac{0.16}{200} }}[/tex]

[tex]Z = \dfrac{0.05}{\sqrt{0.0008 }}[/tex]

[tex]Z = 1.768[/tex]

P-value = 2 × P(Z< - 1.768)

From the z tables

P-value = 2 × 0.03853

P-value = 0.07706

Thus, the p-value is 0.05 < P-value < 0.10

Two expressions are shown below. Explain whether or not expressions P and Q are equivalent.
P: 2(3x –9)
Q: 6x –9

Answers

Answer:

Not equivalent

Step-by-step explanation:

So basically when it says 2(3x-9) to simplify you need to remove the parentheses so the 2 multiplies both like this; 2×3x + 2×-9= 6x-18

So, 6x-9 is not equal to 6x-18

Answer:

It wouldnt be equivalent

for P, you have to do distributive property.

2×3x equals 6 and then you times 2×-9 which is -18. P= 6x-18. Therefore, it is not equivalent.

(10p) An actuary has discovered that policyholders are three times as likely to le two claims as to le four claims. The number of claims led has a Poisson distribution. Compute the variance of the number of claims led. You can use, without a proof, that the variance of a Poisson distribution is equal to its mean.

Answers

Answer:

Hello your question is poorly written below is the complete question

An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If The number of claims filed has a Poisson distribution. Compute the variance of the number of claims filed. You can use, without a proof, what is the variance of a Poisson distribution is equal to its mean

answer : variance = 2

Step-by-step explanation:

compute the variance of the number of claims filed

x = number of claim filed

For Poisson distribution

mean = variance = Л

∴ Variance = 2

I really need help plzzz​

Answers

Answer:

The answer is y=40x because where the line hits a center point on you divide, for example in the picture the line is hitting (1.5,60) so you divide 60 by 1.5 and get 40 :)

What is the smallest unit of time? (Hint: its not a nanosecond or a microsecond or a second)

Answers

Pecosecond how about.

What is the quotient in simplest form?
12/7 divided by 3

Answers

Answer:

your answer would be 4/7.

Step-by-step explanation:

divide the 12 by 3 giving 4 ... 4/7

Can someone please help me.

Answers

Answer:

B.

Step-by-step explanation:

That's like the only answer that makes sense.

It’s most definitely C. B does not make sense

SOMEONE PLEASE PLEASE HELP ASAP

Answers

The second one? Sorry if you get it wrong I’m not really sure! :3

5.2-3 In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15, 000 Hz are sampled, quantized, and binary-coded into PCM signals. (a) If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.

Answers

Answer:

the minimum number of bits needed for quantization is 7

Step-by-step explanation:

Given the data in the question;

if quantization is Δv, then the maximum quantization Error is Δv/2

now if we split up the whole range  from -[tex]m_{p}[/tex] to [tex]m_{p}[/tex] evenly into L levels, so

Δv = [tex]2m_{p}[/tex] / L

Δv / 2 = [tex]m_{p}[/tex] / L

given that the error must be at most 1% of [tex]m_{p}[/tex],

1%[tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L

1/100 × [tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L

100 = L

now L must be a factor of 2 to be binary encoded,

so lets consider;

L = 128

2ⁿ = 128¹

2ⁿ = 2⁷

n = 7

Therefore, the minimum number of bits needed for quantization is 7

subtract 10x^2-10x+2 from -8x^2+7x-7

Answers

Answer:

-18x^2+17x-9

Step-by-step explanation:

solve each proportion algebraically. show your work. n/6 = 25/30​

Answers

i’m pretty sure the answer is n=5

I NEED HELP ASAP PLEASE PLEASE PLEASE.

Answers

Answer:

C

Step-by-step explanation:

7-7 is wrong

Nate has a bag containing 3 red, 2 blue, 4 yellow, and 3 green marbles. If he randomly chooses one marble from the bag, what is the probability that the marble will be blue?

Answers

The probability that the marble will be blue if he shakes the bag and when you puts his hand into the bag, to move it around and probably he'll get the blue marble.

Hopefully, it correct.... :)

What is an equation of the line that passes through the points (2, -6) and (1, -1)?
Put your answer in fully reduced form.
60 -

Answers

first find the gradient.

y2 - y1 / x2 - x1 = ((-1) - (-6)) / (1 - 2) = 5 / -1 = -5

Then find the equation of the line

y - y1 = m(x - x1)

y - (-2) = -5(x - 2)

y + 2 = -5x + 10

y = -5x + 10 - 2

y = -5x + 8

So the equation of the line is y = -5x + 8

Please help! 10 POINTS!
Please solve

2x^2+10+8=0

Answers

Answer:

x must be a negative i mean it has to how tfk do you get zero at an answer what kn the world

Find X please put how you got it

Answers

i think that’s right

Solve for x. Round measures to the nearest tenth

Answers

Hello,

*I will move straight to the math. If you have questions, ask away! :)
* All calculations are in “degree mode” for a TI calculator or other calculator.

I will apply Laws of Sines/Cosines and inverse functions for your math.

Which is the graph of the function f(x) = 1/2x^2 + 2x – 6?

Answers

it should be the first graph

. how many 1/2s are in 3​

Answers

Answer:

6

Step-by-step explanation:

Which size box of rice shown in the table has the lowest unit price?

Answers

I would say 8 oz is the answer

Answer:

12 oz

Step-by-step explanation:

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