A CD which usually sells for $15.78 has a 15% discount. Estimate the amount of the discount.

Answers

Answer 1

if we take 15.78 to be the 100%, what is the 15%?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 15.78&100\\ a&15 \end{array}\implies \cfrac{15.78}{a}=\cfrac{100}{15}\implies \cfrac{15.78\cdot 15}{100}=a[/tex]

Answer 2

You need to round 15.78 to get 16. You then multiply 16 to 15 and divide by 100 to get your answer :

2.4

Which would also be $2.40

Related Questions

The formula for the volume of a sphere is V=4/3 3.14r^3. What is the formula solved for r?

Answers

[tex]V = \frac{4\pi r^{3} }{3} \\ \\ \\ \frac{3V}{4 \pi } = r^{3} \\ \\ \sqrt[3]{ \frac{3V}{4 \pi } } = r [/tex]

Is the quotient of 5 and 1 / 2 greater than or less than 5? Explain your answer.

Answers

the qoutient of 5 and 1/2 is 2.5 so it is less than

The quotient of 5 divided by 1/2 is greater than 5 because dividing by a number less than 1 results in a larger number. In this case, it is equivalent to multiplying 5 by 2, yielding 10.

To determine if the quotient of 5 and 1/2 is greater than or less than 5, we consider the operation of division. Dividing by a number less than 1 will result in a larger number, while dividing by a number greater than 1 will result in a smaller number. The number 1/2 is less than 1, so when 5 is divided by 1/2, the quotient is greater than 5. It is equivalent to multiplying 5 by 2 (since dividing by a fraction is the same as multiplying by its reciprocal), which is 10. Therefore, 5 divided by 1/2 equals 10, which is greater than 5.

One number is 33 more than another number. The quotient of the larger number and smaller number is 5 and the remainder is 1. Find the numbers.

Answers

The two numbers are 41 and 8. You can set up the problem as two equations. First, x = 33 + y for "one number (x) is (=) 33 more (33 +) than another number (y)." You can set up the other equation as (x-1)/5y or (x-1) = 5y. You can substitute 33 + y for every x in the second equation and solve for y. You would get y = 8, then you can use the y value in the first equation to solve for x to get x = 41.

Final answer:

The two numbers in question are 8 and 41.

Explanation:

Step-by-Step Solution to Find the Two Numbers

Let the smaller number be x. Thus, the larger number would be x + 33. According to the problem, the larger number divided by the smaller number gives a quotient of 5 and a remainder of 1. We can represent this information using the following equation:

(x + 33) = 5x + 1

This equation states that when the larger number is divided by the smaller number, we obtain a quotient of 5 and a remainder of 1.

Now, let's solve the equation for x:

Subtract 5x from both sides of the equation: (x + 33) - 5x = 1Simplify the equation: -4x + 33 = 1Subtract 33 from both sides: -4x = -32Divide both sides by -4: x = 8

Since we have found the smaller number to be 8, the larger number is:

8 + 33 = 41

Therefore, the two numbers are 8 and 41.

The modulus operator would confirm our solution since 41 % 8 does indeed yield a remainder of 1, as stated in the problem.

The human population doubles approximately every 50 years. If there were 2.5 million people in 1950, how many people are forecasted to populate the earth in 2050?

Answers

From 1950 to 2050 is 100 years, so that would make the population doubling twice in that amount of time. So in 2000 the population would go from 2.5 million to 5 million. And in 2050 the forecast for population would be 10 million.
2.5 x 2 = 5
5 x 2 = 10

a sheep breeding farm counted a total of 40 sheep on their grounds after one year the number of sheep doubled then in the next year the number of sheep doubled again if this trend continues which of the following options represents the number of sheep on the farm by then end of each year

Answers

Answer:
graph (b)

Explanation:
The farm started with 40 sheep and the number doubled each year.
So, the equation modeling this situation would be:
N(x) = 40*(2)^2
By getting the equation, we can notice that we already excluded the third and fourth choices as they have the wrong equations.

Now, we will need to select the right graph which is either graph a or graph b.
To do this, we will get the value of N(x) for different values of x as follows:
At x = 0: N(0) = 40*(2)^0 = 40
At x = 1: N(1) = 40*(2)^1 = 80
At x = 1: N(2) = 40*(2)^2 = 160

Now, taking a look at graph a, we will find that:
N(1) = 120
N(2) = 360
These numbers are not the same as the numbers we calculated, therefore, this graph is wrong

Taking a look at graph b, we will find that:
N(1) = 80
N(2) = 160
These numbers are exactly the same as the ones calculated, therefore, this graph is the correct one.

Hope this helps :)

Alice has 1/5 as many miniature cars as Sylvester has Sylvester has 35 miniature cars how many miniature cars does alic have?

Answers

The answer is 7. Since Alice has 1/5 as many cars as Sylvester. You multiply 1/5 by how many cars Sylvester has. Sylvester has 35 cars, so you would do 35 times 1/5 or 35 divided by 5 (multiply by 1/5 and divided by 5 are the same thing) and you would get your answer of 7.

Final answer:

Alice has 1/5 as many miniature cars as Sylvester, who owns 35. By multiplying 35 cars by 1/5, we find that Alice has 7 miniature cars.

Explanation:

The student's question is about finding the number of miniature cars Alice has if she has 1/5 as many as Sylvester, who has 35 miniature cars. To solve this, we use the following mathematical operation:

Alice's miniature cars = 1/5 of Sylvester's miniature cars

Sylvester's miniature cars = 35 cars

To find out how many miniature cars Alice has, multiply the number of Sylvester's miniature cars by 1/5:

35 cars x 1/5 = 7 cars

Therefore, Alice has 7 miniature cars.

HELP ME PLEASEEEEEEEEEEEEEEEEEE

Answers

For this case we have the following solution.
First, let's give the variable a name:
Let
x = gallons of water to be added
For the 10% solution we have:
0.1 * 8 = 0.8
Then, for 5% we have:
(0.8 / x + 8) = 0.05
Rewriting:
(0.8 / x + 8) = (5/100)
Answer:
An equation can be used to find x, the humber of gallons of water he should add is:
(0.8 / x + 8) = (5/100) (option 2).

tim has 30 grapes. he keeps 9 grapes for himself. then he gives 7 grapes each to some of his friends. to how many friends does tim give grapes?

Answers

30 - 9 is 21 grapes shared. 21 divided by 7 is 3 friends.

He hands out grapes to 3 friends
30-9 he kept = 21
21÷7 he gives out per friend =3

Can you please help me ?

Answers

What you can do for this case is to use the following trigonometric definition.
Tan (x) = a / b
Where,
a: opposite side of the triangle.
h: adjacent side of the triangle.
Clearing x:
x = Atan (a / b)
Substituting:
x = Atan (a / b)
x = Atan (5.74 / 4)
x = 55.12874356
Whole degree
x = 55
Answer:
x = 55 (option 3)

£850 is invested for 2 years at 6% per annum compound interest. a) Work out the total interest earned over the first 2 years.

Answers

The correct answer to 850 for 2 years at 6% interest is 955

Answer:

6% annum for 850 would be 955

What is the correct solution for the arithmetic expression (2+8)/2*9/3 using the order of operations employed by oracle 12c when solving equations??

Answers

Hmm. Maybe You should go to @OoooohSmartttHannahhh

The order of operations is the steps used to simplify any mathematical expression. Order of operations refers to which operations should be performed in what order and it is denoted by PEMDAS, This means that you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right). If parentheses are enclosed within other parentheses, work from the inside out.

[tex] (2+8)/2*9/3\\ Performing \; the \; operation\; in\; Parenthesis\; first\\ \\ 10/2 *9/3\\ Dividing \; 10/2\; from\; left\; to\; right\\ \\ 5*9/3\\ Multiply\; from\; left\; to\; right\\ \\ 45/3\\ Divide \; to\; get\; final\; answer\\ \\ 15 [/tex]

Conclusion:

The correct solution for the arithmetic expression (2+8)/2*9/3 using the order of operations is 15

Which is the graph of g(x) = 2x – 1 + 3?

Answers

Answer:

The graph given can be further simplified as follows:

[tex]g(x)=2x+2[/tex]

I have drawn and attached the graph with the answer.

Step-by-step explanation:

The graph given can be further simplified as follows:

[tex]g(x)=2x-1+3[/tex]

[tex]g(x)=2x+2[/tex]

Slope of the graph is 2 as x has a coefficient of 2 and intercept is 2.

To graph the above substitute several values to x and calculate the corresponding g(x) values.

[tex]g(1)=2*1+2\\g(1)=4[/tex]

So when x=1, g=4

[tex]g(3)=2*3+2\\g(3)=8[/tex]

So when, x=3, g=8

Calculate several values in the same way and then plot the values is a Cartesian plane, x values in x axis and take g(x) values as y axis.

Then you will get a few dots in a straight line, join those dots with a line and that is the graph.

I have drawn and attached the graph with the answer.

Answer:

The graph is shown below.

Step-by-step explanation:

The given function is

[tex]g(x)=2^{x-1}+3[/tex]

It is an exponential function.

The given exponential function is defined for all real numbers. So, the domain of given function is all real numbers.

Domain = { x | x ∈ R }

Domain = (-∞,∞)

We know that

[tex]2^{x-1}>0[/tex]

Add 3 on both sides.

[tex]2^{x-1}+3>0+3[/tex]

[tex]g(x)>3[/tex]

Range of the function is

Range = (3,∞)

Table of values is

x y

0 3.5

1 4

2 5

Plot these point on a coordinate plane.

The graph of given function is shown below.

Dante Michael's charge account statement showed a previous balance of $277.45 a finance charge of $3.22 new purchases of $299.33 and a payment of $316.00. what is the new balance?

Answers

Add up the finance charge and new purchases to the old balance. Then subtract off the payment to lower the balance

277.45+3.22+299.33-316.00 = 264

The new balance is $264.

Find a ⋅ b.

a = 7i - 4j, b = 4i + 3j

A) <28, -12>
B) 16
C) -40
D) <11, -1>

Answers

Answer:

B) 16

Step-by-step explanation:

The dot product of a pair of vectors is the sum of the products of their corresponding parts. It is a scalar.

... a · b = (7i -4j) · (4i +3j) = 7·4 + (-4)·3

... = 28 -12 = 16

Tell what each of the residual plots below indicates about the appropriateness of the linear model

Answers

The closer the points are/more uniform they are to the residual line, the better the fit. The more skewed and scattered they are, the model is a worse fit.

Final answer:

Residual plots can indicate the appropriateness of a linear model by examining patterns and deviations of the residuals.

Explanation:

A residual plot is a graph that shows the difference between the observed and predicted values in a linear regression model. It helps to assess the appropriateness of the linear model by examining the patterns and deviations of the residuals. In the first graph, there seems to be a systematic pattern and non-randomness in the residuals, indicating that the linear model may not be appropriate. However, in the second graph, the residuals are randomly scattered around zero with no evident pattern, suggesting that the linear model is more appropriate.

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When constructing an inscribed equilateral triangle, how many arcs will be drawn on the circle?

a. 3

b. 4

c. 5

d. 6

Answers

The answer is A(3). 3 arcs will be drawn

It can be done with 2 arcs. In the attached, I started with diameter AD, then drew arcs at B and C of the same radius as the circle from a center at A. Triangle BCD is the inscribed equilateral triangle.

Perhaps a more usual method would be to start at D, draw an arc at E, then from there at B. Resetting the compass to have radius, DB, a third arc can be drawn at C using either B or D as the center. This method would give you
.. selection A: 3 arcs

If you didn't want to reset the compass, you could draw two more arcs, say from B to A, then from A to C. This method would give you
.. selection B: 4 arcs.

On the map of a town, 1 cm represents 6 miles. Find the distance represented by 4.5 cm. A) 4.5 miles B) 6 miles C) 17 miles D) 27 miles

Answers

The answer is D) 27 miles because 4.5 * 6 = 27

I hope this helps you out!! <3

if 1 cm ...................................................6 miles
4.5 cm.................................................? miles

(6*4.5)/1=27 miles
the choice is D

Maritza is buying a multipack of 3 pairs of socks for $25.98. She will save $6.24 by buying the multipack instead of buying 3 individual pairs of the same socks.

If each pair of socks costs the same amount, how much does each pair of socks cost when bought individually?

Answers

Each pair of the sock will cost $6.58

25.98-6.24=19.74
19.74/3=6.58

Measure the length of the top of your desk in centimeters.describe how you found the length

Answers

Simply take a ruler with centimeters on it and measure your desk.Tell the teacher you counted how many centimeters.

write the integer 9 as m/n in simplest form where m and n are integers

Answers

18/2,27/3,36/4,45/5,54/6,63/7,72/8, and 81/9 can be some.

What are the zeros of the function f(x)=3x^2-3x-6

Answers

Start by pulling out a three
y = 3(x^2 - x - 2) Now it is much easier.
y = 3(x - 2)(x + 1)

rebekah's baby brother wights 7.71 pounds. Her newborn kitten weights 0.24 pound. How much more does tebekah's baby brother weight that her kitten?

Answers

Rebekah's baby weighs 7.47 more than her kitten

7.71 - .24 = 7.47. The answer is 7.47 pounds.

f=11gh solve the formula for the variable h.

Answers

Divide both side by 11g and h should equal h=f over 11g

Final answer:

The formula f=11gh can be solved for h by dividing both sides of the equation by 11g. This will give h = f / (11g), where h is isolated on one side of the equation.

Explanation:

To solve the formula f=11gh for the variable h, we need to isolate h on one side of the formula. The current formula tells us that the value of f is equal to the result of 11 times g times h.

As our goal is to solve for h, we can do this by dividing both sides of the equation by 11g. In doing so, the 11g on the right side of the equation will cancel out, leaving us with just h on one side.

So the formula solved for h will look like this:
h = f / (11g).

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What is the exact value of 400,000x200

Answers

400,000*200=80,000,000.

Answer:

80,000,000

Step-by-step explanation:

We can rewrite this expression as:

(4 x 10⁵) x (2 x 10²)

To solve this, we multiply first 4 x 2 = 8 and then we multiply the powers of ten using law of exponents:

10⁵x10²= 10₇.

Therefore, the answer is: 8 x 10⁷. If we write it in decimal form we would have:

80,000,000

Which list of decimals is ordered from least to greatest? A) 0.11, 0.101, 0.21 B) 0.27, 0.35, 0.41 C) 0.35, 0.056, 4.2 D) 1.09, 0.91, 1.90. I need it quick

Answers

I think B would be your answer. Hope this helps. :)

The answer is B) 0.27, 0.35, 0.41

The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?

Answers

Since the height of the pyramid is 3 times the radius of the cone we can express height of the pyramid as a function of radius of the cone.

Let radius of cone = r
Then, height of the pyramid = 3r

Area of the base of the cone = pi x r^2 = area of the pyramid.

If the base dimensions of the pyramid are l and b, then area of the pyramid, l x b = pi x r^2.

The volume of the pyramid = 1/3 x l x b x h

We know, l x b = pi x r^2 and h = 3r.

Thus, volume of pyramid is = 1/3 x pi x r^2 x 3 r = pi x r^3

The volume of the pyramid is πr³ cubic units. Then the correct option is A.

What is the volume of the pyramid?

Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.

Then the volume of the pyramid will be

V = (A × H) / 3

V = (L × B × H) / 3

Where, A is the base area of the pyramid.

Let r be the radius of base circle of the cone.

The height of the pyramid in the diagram is three times the radius of the cone.

Then the height of the pyramid will be 3r.

The base area of the pyramid is the same as the base area of the cone.

Base area of pyramid = Base area of cone

Base area of pyramid = πr²

Then the volume of the pyramid will be

Volume of pyramid = (1/3) x πr² x (3r)

Volume of pyramid = πr² x r

Volume of pyramid = πr³ cubic units

The volume of the pyramid is πr³ cubic units.

Then the correct option is A.

Complete question is attached below.

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it rained 3/8 of a inch each day for 3 days straight how much rain fell altogether

Answers

Total of 1 and 1/8 inches total.

Hello!

It rained the same amount on each of the 3 days, so the denominator will remain the same. Multiply the fraction by the amount of days:

3/8 × 3 = 1 1/8

ANSWER:

1 1/8 (or 9/8) inches of rain fell altogether on the 3 days.

if the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?

Answers

the circumference equation is 2pi r and the circumference for this problem is 3pi so that would mean that the radius is 1.5

with that info, we can find out the area of the circle which is pi r squared.
1.5*1.5=2.25

AREA=2.25pi

The area of the given circle, in terms of pi, is:

A = (9/4)pi cm^2

How to find the area of the circle?

We know that for a circle of radius R, the circumference is:

C = 2*pi*R

And the area is:

A = pi*R^2

In this case, we know that:

C = 3pi cm = 2pi*R

Then we must have:

3cm = 2R

(3/2)cm = R

Now we can replace this on the area equation:

A = pi*((3/2)cm)^2 = pi*(9/4) cm^2

If you want to learn more about circles, you can read:

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[x÷(y–1)](−4)–[xy+(−3)]÷(−1) if x=−5, y=−2

Answers

The result is 1/3.

_____
The first attempt in the attached picture has parentheses in the wrong place for the second term. This simplifies to
.. (-5/-3)*(-4) +(10 -3)
.. = -20/3 +7
.. = -(6 2/3) +7
.. = 1/3

Answer:

Step-by-step explanation:

1 89

2321

214

Solve the system of equations using the substitution method.

{y=−3x+7
x=−2y−16

Enter your answers in the boxes.

x=

y=

Answers

ANSWER

[tex]x = 6[/tex]

[tex]y = - 11[/tex]

EXPLANATION

The given system of equations is

[tex]y = - 3x + 7...(1)[/tex]

and

[tex]x = - 2y - 16...(2)[/tex]

We substitute equation (1) into equation (2) to get;

[tex]x = - 2( - 3x + 7) - 16[/tex]

[tex]x = 6x - 14- 16[/tex]

We group similar terms

[tex]x - 6x = - 14 - 16[/tex]

[tex] - 5x = - 30[/tex]

Divide both sides by -5.

[tex]x =6[/tex]

Put x=6 into equation (1).

[tex]y = - 3(6) + 7[/tex]

[tex]y = - 18 + 7[/tex]

[tex]y = - 11[/tex]

Answer:

x = 6 and y = -11

Step-by-step explanation:

Given : System of linear equation

y=−3x+7

x=−2y−16

We have to solve the system of equations using the substitution method.

In substitution method, we substitute the value of one variable in term of other and solve for it.

Consider the given system of linear equation

y = −3x + 7 ...(1)

x = −2y − 16 .....(2)

Substitute, (2) in (1), we get,

y = -3(-2y - 16) + 7

Simplify , we get,

y = 6y + 48 + 7

6y - y = - 55

5y = -55

y = -11

Substitute y = -11 in (2), we get,

x = −2(-11) − 16 = 22 - 16 = 6

thus, x = 6

Thus , x = 6 and y = -11

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