A collection of dimes and quarters worth $9.25. There are 46 coins in all. Find how many of each there are. How many dimes are there?

Answers

Answer 1

If all were quarters, the value would be 46*$0.25 = $11.50. The actual value is $2.25 less than that. Replacing a quarter with a dime reduces the value by $0.15, so there must be $2.25/$0.15 = 15 dimes

There are 15 dimes.

Related Questions

A metal rod is 38 meters long. It will be cut into pieces that are each 148
meters long. How many pieces will be made from the rod?

Answers

How many pieces will the rod be it is 5,624.

what is the factored form of the expression? 4x^2-81y^2

Answers

[tex]4x^2-81y^2 [/tex]

[tex](2x)^2-(9y)^2 [/tex]

[tex](2x+9y)(2x-9y)[/tex]

[tex]4x {}^{2} - 81y {}^{2} [/tex]
Write the expressions 4 & 81 in exponential form with an exponent of 2.

[tex] = 2 {}^{2} x {}^{2} - 9 {}^{2} y {}^{2} [/tex]
Multiply the terms with equal exponents by multiplying their bases.

[tex] = (2x) {}^{2} - (9y) {}^{2} [/tex]
Using
[tex]a {}^{2} - b {}^{2} = (a - b)(a + b)[/tex]
Factor the expression.

[tex] = (2x - 9y) \times (2x + 9y)[/tex]

Sandra is traveling 19 mph on her bicycle. After 2 hours, how far will she have traveled?

Answers

she is riding at 19 mph ( mph = miles per hour) so in one hour she will travel 19 miles.

to find total distance, multiply speed by time:

total distance = 19 mph x 2 hours = 38 total miles

Find the length of the arc shown in red. Leave your answer in terms of x.

Answers

The arc length by definition is given by:
S = r * theta
Where:
R: radius
Theta: central angle
For this case we have that the arc length is:
S = (30/180) * 9 * pi
S = (3/2) pi
Answer:
The length of the arc shown in red is:
S = (3/2) pi

What is the domain of the function?

Answers

The domain is the set of allowed input x values for the function. In this case, the domain is the inequality x > -8 (note the vertical asymptote at x = -8 in which the function never touches)

If you want to write the domain in interval notation, then you would write [tex](-8, \infty) [/tex] which is the interval from -8 to positive infinity (excluding both endpoints)

The domain of the function is (-∞, ∞).

Definition of function

A function is an expression that shows the relationship between variables as well as numbers.

The domain of a function is the set of all possible inputs for the function.

From the graph, the domain is the set of all x values, hence:

Domain = (-∞, ∞)

The domain of the function is (-∞, ∞).

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Cameroon corp. manufactures and sells electric staplers for $15.90 each. if 10,000 units were sold in december, and management forecasts 5% growth in sales each month, the dollar amount of electric stapler sales budgeted for february should be:

Answers

Sales in December = 10,000*15.90 = $159,000

For 5% forecast growth each month;

Sales in January = (1+0.05)*Sales in December = 1.05*159,000 = $166,950
Sales in February = (1+0.05)*Sales in January = 1.05*166,950 = $175,297.50

The company should budget for $175,297.50 sales in February.

Create a box and whisker plot for the average daily temperatures in Tucson, Arizona, in December: 67, 57, 52, 51, 64, 58, 67, 58, 55, 59, 66, 50, 57, 62, 58, 50, 58, 50, 60, 63

Answers

A box and whisker plot creates a five-point summary from the given numbers.

First, we'll arrange the number sequence from lowest to highest - 0,50,50,51,52,55,57,57,58,58,58,58,59,60,62,63,64,66,67,67.
Second, we'll find the median Q2 - (58+58) / 2 = 58
Third, we'll take the middle numbers before the median as our lower quartile Q1 - (52+55) / 2 = 53.5
Fourth, we'll take the middle numbers after the median as our upper quartile Q3 - (62+63) / 2 = 62.5

Then we graph (see attached picture)

Normal Distributions

I couldn't see the whole graph in the answer above, but using the quartiles, I chose graph A and that was right.

1. b. mean=75.8, median=76.5, mode=63

2. a. dots at 50, 53.5, 58, 62.5, and 67

3. c. 30th percentile=105, 90th percentile=176.

This is a controversial question because some of the numbers repeat, but as of 5/19, answer c is right.

4. d. mean=8, variance=18.3, standard deviation=4.3

5. a. 2

6. b. 22%

7. d. a^6-30d^5+375d^4-2,500d^3+9,375d^2-18,750d+15,625

8. a. 93%

9. b. 16%

10. c. 84%

What is the following product of sqrt 10 times sqrt 10

Answers

[tex] \sqrt{10} \times \sqrt{10} = ( \sqrt{10}) ^2 = 10 [/tex]

Whenever we have been given to find the product of two square roots, the two roots cancel out each other. This is because [tex] (\sqrt{number} )^2 = number [/tex]

The power of two and the square root cancel out each other

In the given problem we have to multiply the square root 10 by itself, we have

[tex] \sqrt{10} * \sqrt{10} [/tex]

Now, the next step will be

[tex] (\sqrt{10})^2 [/tex]

Now the square root and the power of 2 cancel each other an d the result will be 10

Answer : 10

how do u simplify this?
4r-3+6s-8r-(4s-6)

Answers

Hey there!:

4r -3 + 6s - 8r - (4s - 6)

*distribute parentheses :

= - ( 4s ) - ( - 6 )

Apply minus - plus rules

- ( - a ) = a ; - ( a ) = - a

= - 4s + 6

4r -3+ 6 s - 8r -4s + 6 =

Group like terms :

=4r - 8r + 6s - 4s -3+6

Add similar elements: 4r - 8r= - 4r

-4r + 6s - 4s- 3+6

6s - 4s = 2s

-4r + 2s - 3 + 6

Add/Subtract the numbers :

-3 + 6 = 3

Therefore:

= 2s +3 - 4r

hope this helps!

can someone help me 3y-20=8y

Answers

Objective: Solve 3y - 20 = 8y for y.

Step 1: Collect the y-terms.
To collect the y-terms, you'll need to subtract 3y from both sides.

3y - 20 - 3y = 8y - 3y
-20 = 5y

Step 2: Isolate y.
Now that there is only one variable term, you must isolate the variable by dividing the term by the coefficient of the variable.

-20 ÷ 5 = 5y ÷ 5
-4 = y

Answer:
y = -4

3+4(z+5)=31 please show the correct step by step and correct answer

Answers

3 + 4(z + 5) = 31

Distribute 4:
3 + 4z + 20 = 31

Combine like terms:
4z + 23 = 31

Take away 23 from both sides:
4z = 8

Divide by 4:
z = 2

Answer: z = 2

Hello!
z = 2
3+4(z+5)=31
3+4(z+5)-3=31 - 3
4(z+5)=28
z+5=7
z+5-5=7-5
z=2
Sorry if this is confusing! <3
Hope this helps!

How can 52/9 be expressed as a decimal?

Answers

The answer would be about 5.8

For 52/9 to be expressed as a decimal, you need to divide the fraction.

52/9 = 5.78 (rounded by the 1hundreds in the decimals place).

what is the minimum value that the graph of y=sin x assumes?

Answers

The minimum y-value for the function y = sin x is -1.

The minimum value is -1.

5% of all widgets are defective. there is a 30% chance that a widget was produced at the foo factory. if a widget was produced at the foo factory, then there is a 4% chance that the widget is defective.

a.) what is the probability that a widget was produced at the foo factory AND is defective?

b.) are "produced at the foo factory" and "defective" independent events? justify.

Answers

a.) P(defective | foo) = P(defective & foo)/P(foo)
4% = P(defective & foo)/30% . . . . . . . . . plug in the given data
0.04*0.30 = P(defective & foo) = 0.012 = 1.2%

The probability that a widget was produced at the foo factory and is defective is 1.2%.

b.) P(defective | foo) ≠ P(defective) (4% ≠ 5%), so the events P(defective) and P(foo) are NOT independent.

c.) P(foo | defective) = P(defective & foo)/P(defective)
P(foo | defective) = 1.2%/5% = 24%

The probability that a widget was produced at the foo factory given it is defective is 24%.

I really really need help with this please.

Answers

The number of ancestors going back through the 5th generation, including Tle-nle and counting Tle-nle as the 1st generation is:

= 1 + 3 + 3^2 + 3^3 + 3^4
= (3^5 - 1) / (3 - 1)
= 242 / 2
= 121

Since we included Tle-nle as the 1st generation, we will only compute up to the 4th power. If it is until the 6th generation, add 3^5 to the equation.

Tripp and Rico are two dogs. Tripp weighs exactly 35 pounds more than Rico. Together, they weigh exactly 49 pounds. How much does each dog weigh? Please use Two-step equations!!!! plz, help!

Answers

Call the weights of the two dogs [tex]t[/tex] and [tex]r[/tex].

We know that Tripp weights 35lbs more than Rico, or:
[tex]t=r+35[/tex]

We also know that the total weight of both dogs is 49lbs.:
[tex]t+r=49[/tex]

Now, by substitution:
[tex](r+35)+r=49[/tex]
[tex]2r+35=49[/tex]
[tex]2r+35-35=49-35[/tex]
[tex]2r=14[/tex]
[tex]r=\frac{14}{2}[/tex]
[tex]r=7[/tex]
Rico weighs 7lbs.

Then:
[tex]t=r+35[/tex]
[tex]t=7+35[/tex]
[tex]t=42[/tex]
Tripp weighs 42lbs.

To check our work:
[tex]t+r=49[/tex]
[tex]42+7=49[/tex]
[tex]49=49[/tex] CHECK!

Using a system of equations, it is found that Tripp weighs 42 pounds and Rico weighs 7 pounds.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: Tripp's weight.Variable y: Rico's weight.

Tripp weighs exactly 35 pounds more than Rico, hence:

x = 35 + y.

Together, they weigh exactly 49 pounds, hence:

x + y = 49

35 + y + y = 49

2y = 14 -> y = 7

x = 35 + y -> x = 42

Hence, Tripp weighs 42 pounds and Rico weighs 7 pounds.

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What is value of M in the figure below?

Answers

The right triangles are all similar, so the hypotenuse is proportional to the short side in each case.
m/5 = (14 +5)/m
m^2 = 5*19 = 95

The best choice is ...
C. √95

Based on the right-angled triangle, the value of m is equal to: C. [tex]\sqrt{95}[/tex].

What is the geometric mean (leg) theorem?

According to the geometric mean (leg) theorem, the length of the leg of a right-angled triangle is the geometric mean between its hypotenuse and the segment of the hypotenuse which is adjacent to that leg.

Mathematically, the geometric mean (leg) theorem can be modeled by the following formula;

Hypotenuse/leg = leg/part

where;

hypotenuse = 14 + 5 = 19

leg = m

part = 5

By applying geometric mean (leg) theorem, the length of the part (x) can be calculated as follows;

19/m = m/5

By cross-multiplying, we have the following:

[tex]m^2=19 \times 5\\\\m^2=95\\\\m=\sqrt{95}[/tex]

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What is the greatest possible error when measuring to the nearest quarter of an inch? 1/8 in. 1/4 in. 1/2 in.

Answers

The farthest away you can be from the appropriate 1/4 inch mark is
1/8 in.

The greatest possible error when measuring to the nearest quarter of an inch is:

1/8 in.

What is the greatest possible error when measuring to the nearest quarter of an inch?

Error in measurement is the difference between the measured value of a quantity and its true value. It is an inevitable part of any measurement, and there are many different sources of error.

The greatest possible error when measuring to the nearest quarter of an inch is 1/8 of an inch.

This is because the smallest measurement interval is 1/4 of an inch, and the greatest possible error is half of the smallest measurement interval.

Therefore, the greatest possible error when measuring to the nearest quarter of an inch is 1/8 in.

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Two corresponding side of similar pentagons are 12 cm and 28 cm.

what is the ratio of the areas of the pentagons?

A. 12/28

B. 27/343

C. 9/49

Answers

The ratio of the areas of the polygon will be evaluated as follows:
area scale factor=(linear scale factor)²
linear scale factor=(length of pentagon A)/(length of polygon B)=12/28=3/7
thus:
area ratio=(3/7)²=9/49

Answer: C. 9/49

A six-sided die is thrown 50 times. the numbers of occurrences of each face are shown below. face 1 2 3 4 5 6 count 12 5 9 11 6 7 can you conclude that the die is not fair?

Answers

Well it's not a living thing so you cant

he walks 200m west and 125m north how far away is he from his starting point

Answers

If you draw a horizontal line then vertical line and then connect starting point to final point then you would get a right triangle.

So for this triangle, base is 200 m and height is 125 m. Our goal is to find the length of hypotenuse. We can use Pythagorean theorem.

(200)² + (125)² = c²

√( (200)² + (125)² ) = c

√( 55625 ) = c

235.850 ≈ c

Final answer: 235.850 m

Hope this helps.

The gpa at the super university has a normal distribution with a mean 2.29 and standard deviation 1.29 to be an honors student at this university your GPA has to be in the top 20% what is the smallest gpa you need to have to be an honors student?

Answers

The smallest GPA needed to fall in the top 20% is [tex]g[/tex], where

[tex]\mathbb P(G\ge g)=0.20[/tex]

where [tex]G[/tex] is a random variable denoting GPA scores. Transform [tex]G[/tex] to the standard normal random variable [tex]Z[/tex] using

[tex]Z=\dfrac{G-\mu_G}{\sigma_G}\iff G=\mu_G+\sigma_GZ[/tex]

where [tex]\mu_G[/tex] and [tex]\sigma_G[/tex] are the mean and standard deviation of [tex]G[/tex], respectively. Now

[tex]\mathbb P(G\ge g)=\mathbb P\left(Z\ge\dfrac{g-2.29}{1.29}\right)=0.20[/tex]

Using the inverse CDF for the standard normal distribution, we find that the corresponding critical value is about 0.8416, which means

[tex]\implies\dfrac{g-2.29}{1.29}\approx0.8416\implies g\approx3.3757[/tex]

A tennis player lands 25 out of 40 first serves in bounds for a success rate of 62.5%. How many more consecutive first serves must she land in bounds to increase her success rate to 70%.

Answers

She will need to make 10 more consecutive first serves until the number of serves in out of the total number of serves is equal to 70%.

Start with 25/40, then 26/41, 27/42, 28/43, 29/44, 30/45, 31/46, 32/47, 33/48, 34/49, 35/50 (70%).

The tennis player must consecutively land 10 more first serves in bounds to raise their success rate from 62.5% to 70%.

First, let's define the variables:

x = number of additional successful serves needed

40 + x = total number of serves after additional successful serves

25 + x = total number of successful serves after additional successful serves

We set up the equation with the desired success rate of 70%:

(25 + x) / (40 + x) = 0.70

To solve this equation, follow these steps:

Multiply both sides by (40 + x):

25 + x = 0.70 * (40 + x)

Distribute 0.70 on the right side:

25 + x = 28 + 0.70x

Isolate the variable x by subtracting 0.70x from both sides:

25 + x - 0.70x = 28

Combine like terms:

0.30x = 3

Solve for x by dividing both sides by 0.30:

x = 10

Thus, the tennis player must land 10 more consecutive first serves in bounds to increase her success rate to 70%.

9=7x-13x-21 show step by step

Answers

First step is to combine like terms.

9 = 7x - 13x - 21 becomes 9 = - 6x - 21

Now add 21 to both sides to isolate our coefficient and variable.

- 6x -21 + 21 = 9 + 21

The 21s on the left cancel out.

- 6x = 30

Now divide both sides by - 6 to isolate the variable.
x = 30 / - 6
x = - 5

do the scatter plot .........................

Answers

For this case we have the following table:
1 190
2 220
3 200
4 330
5 300
6 410
7 450
8 410
9 530
10 650
11 570
12 650
13 750
14 720
15 700
16 800
The scatter diagram shows that as the weeks increase, sales increase.
Answer:
See attached image.

2 blue shirts
1 white shirt
1 red shirt
2 black slacks
1 white pair of pants
1 pair of jeans
1 pair of sandals
2 pairs of running shoes

Alex is on vacation and has the clothes listed above with her. She is trying to pick out an outfit. What is the probability she chooses a red shirt and a pair of jeans?
A) 0.01 B) 0.06 C) 0.08 D) 0.5

Answers

The correct answer is b

if a 9 inch pizza serves 4 people, how many people will a 12 inch pizza serve?

Answers

4 * (12/9)^2 ~ 7 people

An executive invests $22,000, some at 8% and the rest at 6% annual interest. If he receives an annual return of $1,660, how much is invested at each rate?

Answers

Here's the equation I'm using:
0.08n + 0.06(22000-n) = 1660
Multiply both sides by 100:
8n + 132000-6n = 166000
Simplify:
2n + 132000 = 166000
Isolate n:
2n = 34000
n = 17000
8% invested: 17000
6% invested: 5000

housing prices in a certain neighborhood average at 97.86 per square foot. If one house in this neighborhood is 1400 square feet, what should it be priced at?

Answers

The average price of such a house is
(97.86/ft²)×(1400 ft²) = 97.86×1400 = 137,004

The average price is 137004$ for 1400 square feet

The function f(x)=2^x and g(x)=f(x)+k.If k=-5,what can be concluded about the graph of g(x)?
the graph of g(x) is shifted horizontally
a.5 units to the left of the graph of f(x)
b. 5 units to the right of the graph of f(x)
c.the graph is not shifted horizontally from the graph of f(x)

Answers

The graph of g(x) will be the same as the graph of f(x) shifted vertically downwards by 5 units because k=-5 represents a vertical shift, not a horizontal one. There is no horizontal shift involved.

When considering the functions [tex]f(x)=2^x[/tex]and g(x)=f(x)+k, with k=-5, we look at how the graph of g(x) compares to the graph of f(x).

Since the value of k is negative, it implies that a constant is being subtracted from the function f(x). This means that the graph of g(x) will not be shifted horizontally, but rather vertically downwards by 5 units.

Therefore, option c is the correct answer: the graph is not shifted horizontally from the graph of f(x).

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