Mathematics College

Celia bought a bag of 12 goldfish for $3. What is the cost of 1 goldfish?

Answers

Answer 1

we know that

Celia bought a bag of [tex]12[/tex] goldfish for [tex]\$3[/tex]

so

by proportion

Find the cost of [tex]1[/tex] goldfish

[tex]\frac{3}{12} \frac{\$}{goldfish} =\frac{x}{1} \frac{\$}{goldfish} \\ \\x=3/12 \\ \\x=\$0.25[/tex]

therefore

the answer is

The cost of one goldfish is [tex]\$0.25[/tex]

Answer 2

Celia will pay 0.25 dollars for 1 goldfish. The cost of 1 goldfish is $ 0.25

The Total number of goldfish purchased is 12.

Cost price for 12 goldfish is $ 3.

Let the price of 1 goldfish be x dollars.

Therefore,

[tex]\begin{aligned}x \times\$12&=\$3\\x&=\dfrac{3}{12}\\x&=0.25\end{aligned}[/tex]

Hence, the cost of 1 goldfish is 0.25 dollars.

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Related Questions

HELP ME PLEASE!!
-1.3 ≥ 2.9 -0.6r
Graph the solution

Answers

Final answer:

The solution to the inequality -1.3 ≥ 2.9 -0.6r, is r ≤ 7. This is represented on a graph by placing a closed circle on 7 and drawing a line to the left, to represent all numbers less than 7.

Explanation:

To solve this inequality, -1.3 ≥ 2.9 -0.6r, first, we isolate the variable r (which represents solving for 'r'). Start by subtracting 2.9 from both sides of the inequality.

This gives us -4.2 ≥ -0.6r. Then divide both sides by -0.6. However, remember when dividing or multiplying an inequality by a negative number, the direction of the inequality changes. So, it becomes r ≤ 7.

When graphing this inequality, you will place a closed circle at 7 (showing that point is included) and draw a line to the left from 7, extending to infinity (since all numbers less than 7 satisfy the inequality).

The graph represents the mathematical solution to the inequality.

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The time to fly between new york city and chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. what is the probability that a flight is less than 135 minutes

Answers

Do you have multiple choices?

During first semester, the ratio of the number of students in our class to the number of students in gym class was 2 to 7. However, the art classes were really small, and the gym classes with large, so the principal change the students classes for second semester. In second semester, the ratio of the number of students in our class to the number of students in gym class was 5 to 4. If 75 students were in our class second semester, how many were in our class in gym class first semester.

Answers

5/4 = 75/x....5 in art to 7 in gym = 75 in art to x in gym
cross multiply
5x = 300
x = 300/5
x = 60..... according to 2nd semester, there are 75 in art and 60 in gym....total of (75 + 60) = 135 total students in the two classes.

so in 1st semester, the ratio was 2:7....added = 9
2/9(135) = 270/9 = 30 in art class <==1st semester art
7/9(135) = 945/9 = 105 in gym class <== 1st semester gym

A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7 gallons of gas?

Answers

147 miles is how many miles the car can travel
63/3=21
21 mile per gallon 
7 gallons X 21 =147

3.4 divided by 0.16728

Answers

The answer is 20.32520325 but rounded that would be 20.33 depending on what your teacher wants you to round to
20.32520 but you put a line above the 32520

A rectangular box has length 14 inches, width 11 inches, and a height of 16 inches. find the angle between the diagonal of the box and the diagonal of its base. the angle should be measured in radians.

Answers

the answer is 22 b 12

Multiplication Property of Inequality -1/2x<-12 simplify it all the way through

Answers

Multiply both sides by -2. Doing this will flip the inequality sign. The flip always happens when you multiply both sides by a negative number. 

So we'll go from this
(-1/2)x < -12
to this
x > 24

which is the final answer

Note: If you need to graph x > 24, then plot 24 on the number line. Draw an open circle at 24 and shade to the right of this open circle. The open circle tells the reader "the endpoint 24 is not part of the solution set". 

Edit: the full steps are...

(-1/2)x < -12
-2*(-1/2)x > -2*(-12)
(-2*-1/2)x > 24
2/2x > 24
1x > 24
x > 24

Let me know if that helps or not. Thank you.

A PS4 uses 8.8 watts when on stand-by mode. How much carbon dioxide is emitted into the atmosphere by using this electricity?

Answers

a. total power usage PS4 in a week = 8.8 watts x 21 hrs/day x 7 days/week
                                                          = (1293.6 watt.hr/week) / (1 kW/1000w)
                                                          = 1.29 KW hr/ week
b. carbon emission = 2.1lb/KW
                               = 1.29 KW x 2.1lb/KW
                               = 2.71 lb
8.8 watts × 294 hours = 2587.2 Wh or 2.5872 kWh.

Answer:
-7(k+9)=9(k-5)-14k

Answers

-7(k+9)=9(k-5)-14k
-7k-63=(9k-45)-14k
-7k-63=-5k-45
-7k=-5k+18
-2k=18
k=-9

Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the sum of those same base numbers.
Help on this, please?

Answers

Final answer:

The two base numbers can be represented as x and y. Setting them equal in the equation x * y = 2(x + y) allows you to solve for them. One solution is x = 2 and y = 2.

Explanation:

This problem can be solved using basic algebra. Let's assume the two base numbers be x and y. Since the product of the two base numbers (x * y) is twice as large as the sum of those numbers (x + y), we can create the following equation: x * y = 2(x + y).

To solve for x and y, you may set x and y to different numbers and check if they satisfy the equation. One solution is x = 2 and y = 2, since 2*2 = 2(2+2). Similarly, other pairs of numbers may also satisfy this equation based on the specific constraints of Frederick's number puzzle.

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Final answer:

To solve the number puzzle, we need to find two base numbers whose product is exactly twice as large as their sum. By rearranging the terms and factoring, we can find the base numbers that satisfy the equation. An example solution is provided with a = 3 and b = 6.

Explanation:

To solve the number puzzle, we need to find two base numbers whose product is exactly twice as large as their sum. Let's represent the base numbers as 'a' and 'b'. According to the information given, we have the equation:

ab = 2(a + b).

We can simplify the equation by rearranging the terms and factoring: ab - 2a - 2b = 0. Using a technique called 'completing the square', we can rewrite the equation as (a - 2)(b - 2) = 4.

From here, we can choose different values for 'a' and 'b' that satisfy the equation, such as a = 3 and b = 6. Therefore, the base numbers for the number puzzle are 3 and 6.

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Tiffany Baldwin earns $800 every week. Her federal income tax is $25. Her state tax is $11. Her FICA is 7.65% of his gross salary. She contributes 2% of her gross earnings to a 401K. She has $20 per paycheck deducted post-tax to pay for her gym membership. What are her pre-tax deductions?

Answers

Tiffany Baldwin's pre-tax deductions are the parts of her salary that she does not have to pay income tax on. Those include the parts of her salary that already go to taxes, which are her federal income tax, state income tax, and her FICA (Social Security and Medicare) taxes. Those taxes are $25 + $11 + ($800 x .0765) = $97.20. Baldwin's other pre-tax deduction is her contribution to her 401K retirement account, which is $800 x .02 = $16. So, her total pre-tax deductions for a week are $97.20 + $16 = $113.20. The amount she has taken out for her gym membership is "post-tax", meaning she still has to pay income tax on that $20 every week, so this is not included.

A stack of one hundred fifty cards is placed next to a ruler, and the height of the stack is measured to be
3/4 inches.

How thick is one card?

Answers

.005 inches is the answer. you just divide 3/4 inches by 150

Answer: One card is 0.005 inches thick.

Step-by-step explanation:

Since we have given that

Number of cards in a stack = 150

Thickness of the stack = [tex]\dfrac{3}{4}\ inches[/tex]

So, Thickness of each card is calculated by "Unitary method":

Thickness of 150 cards  = [tex]\dfrac{3}{4}\ inches[/tex]

Thickness of 1 card is given by

[tex]\dfrac{3}{4\times 150}\\\\=\dfrac{1}{4\times 50}\\\\=\dfrac{1}{200}\\\\=0.005\ inches[/tex]

Hence, One card is 0.005 inches thick.

calculate each of the following by using scientific notation and product rule. write the answer in scientific notation. 2.3 x 10^4 times 4.2 x 10^6

Answers

remember the associative and commutative properties of multiplcation
ab=ba and (ab)c=a(bc)

also, the exponential rules
[tex](x^m)(x^n)=x^{m+n}[/tex]

also, scientific notation is [tex]a*10^m[/tex] where 1≤x<10 and m is an integer


therefor

[tex](2.3*10^4) \space\ times \space\ (4.2*10^6)=[/tex]
[tex](2.3)(10^4)(4.2)(10^6)=[/tex]
[tex](2.3)(4.2)(10^4)(10^6)=[/tex]
[tex](9.66)(10^{4+6})=[/tex]
[tex]9.66*10^{10}[/tex]

Sean lives about 15.5 miles from the airport. Which number rounds to 15.5 when rounded to the nearest tenth?

Answers

ANSWER(S):

15.51

EXPLANATION(S):

15.51 rounded to nearest tenth is 15

*more than one answer

What is the equivalent decimal for 67/100,1/100,81/1000,9 6/10, 3 21/100,5 3/100, 4 77/1000

Answers

To find the decimal equivalent, you would just divide the numerator by the denominator.

67/100: If you divide it, it would be 0.67, and so on.

1/100: 0.01

81/1000: 0.081

9 6/10: 9.6

3 21/100: 3.21

5 3/100: 5.03

4 77/1000: 4.077
1. (0.67)
2. (0.01)
3 (0.081)
4. (9.6)
5. (3.21)
6. (5.03)
7. (4.077)

Given the point and it''s image, determine the scale factor. A (3, 6) A'' (4.5, 9) G'' (3, 6) G (1.5, 3) B (2, 5) B'' (1, 2.5).

Answers

Put the value of the letters with " over the original
So for A we have 3 in the front and 4.5 for A"
4.5/3 = 1.5
We can check if this is actually the scale factor but using the other numbers
The second numbers for A and A" are 6 and 9
6 * 1.5 = 9
So for point A it is 1.5
Use the same thing for G. That gives you 2
For B, you get 0.5
So the scale factors are 1.5, 2, and 0.5

Final answer:

The scale factors for the points given are 1.5 for A to A', indicating an enlargement, and 0.5 for B to B', indicating a reduction. G to G' also indicates a reduction with a factor of 0.5.

Explanation:

To determine the scale factor given the point and its image, you can find the ratio between the coordinates of the image and the original coordinates. Let's analyze the pairs of points you've provided:

A (3, 6) and A' (4.5, 9)

G (1.5, 3) and G' (3, 6)

B (2, 5) and B' (1, 2.5)

We can find the scale factor by dividing the x-coordinates of the image by the original x-coordinate and doing the same for the y-coordinates. For point A:

Scale factor for x: 4.5 / 3 = 1.5

Scale factor for y: 9 / 6 = 1.5

For point G, we see that it's actually the reverse (original to image), but you can still calculate:

Scale factor for x: 3 / 1.5 = 2

Scale factor for y: 6 / 3 = 2

Lastly, for point B:

Scale factor for x: 1 / 2 = 0.5

Scale factor for y: 2.5 / 5 = 0.5

So, the scale factors for A to A' and for B to B' are 1.5 and 0.5, respectively, showing that A to A' is an enlargement while B to B' is a reduction. For G to G', the reverse is a reduction with a factor of 0.5.

Find, correct to the nearest degree, the three angles of the triangle with the vertices d(0,1,1), e( 2, 4,3) − , and f(1, 2, 1)

Answers

Well, here's one way to do it at least... 

For reference, let 'a' be the side opposite A (segment BC), 'b' be the side opposite B (segment AC) and 'c' be the side opposite C (segment AB). 

Let P=(4,0) be the projection of B onto the x-axis. 
Let Q=(-3,0) be the projection of C onto the x-axis. 

Look at the angle QAC. It has tangent = 5/4 (do you see why?), so angle A is atan(5/4). 

Likewise, angle PAB has tangent = 6/3 = 2, so angle PAB is atan(2). 

Angle A, then, is 180 - atan(5/4) - atan(2) = 65.225. One down, two to go. 

||b|| = sqrt(41) (use Pythagorian Theorum on triangle AQC) 
||c|| = sqrt(45) (use Pythagorian Theorum on triangle APB) 

Using the Law of Cosines... 
||a||^2 = ||b||^2 + ||c||^2 - 2(||b||)(||c||)cos(A) 
||a||^2 = 41 + 45 - 2(sqrt(41))(sqrt(45))(.4191) 
||a||^2 = 86 - 36 
||a||^2 = 50 
||a|| = sqrt(50) 

Now apply the Law of Sines to find the other two angles. 

||b|| / sin(B) = ||a|| / sin(A) 
sqrt(41) / sin(B) = sqrt(50) / .9080 
(.9080)sqrt(41) / sqrt(50) = sin(B) 
.8222 = sin(B) 
asin(.8222) = B 
55.305 = B 

Two down, one to go... 

||c|| / sin(C) = ||a|| / sin(A) 
sqrt(45) / sin(C) = sqrt(50) / .9080 
(.9080)sqrt(45) / sqrt(50) = sin(C) 
.8614 = sin(C) 
asin(.8614) = C 
59.470 = C 

So your three angles are: 

A = 65.225 
B = 55.305 
C = 59.470 

there are some numbers that can be made into only one array. Find all of these numbers up to 50.

Answers

Numbers that can be made into only one array are called prime numbers.

The prime numbers up to 50 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47

find the intercept of the line 15.579x +23.354y=13.997. please round your answer

Answers

[tex]\bf \stackrel{x-intercept}{15.579x+23.354(0)=13.997}\implies 15.579x+0=13.997 \\\\\\ x=\cfrac{13.997}{15.579}\implies x\approx 0.89845304576673727454\implies x\approx \stackrel{rounded~up}{1}[/tex]

In the citation, davis v. baugh industrial contractors, inc. 159 wash.2d 413, 150 p.3d 545 (2007) what does the "2d." represent

Answers

The "2d" represents the second series of the edition of the publication reporting on the case. In this reporter, the 413 after the "2d" would show that this is the 1,413th edition of the publication, since most reporters will reset their numbering schemes once 999 has been passed.

x/21 = 3/63 solve the proportion

Answers

x/21 = 3/63
63x = 21 * 3
63x = 63
x = 63/63
x = 1
x/21 = 3/63
x = 3*21/63 = 63/63 = 1

Your car gets about 30 miles per gallon. You are planning to drive to see your friends who live about 930 miles away. How many gallons of gas will you need to purchase to make the trip to see your friends and return home? State your anwser to the nearest gallon?

Answers

(930 divided by 30= 31) 31 multiplied by 2 is 62. So 62 is the answer

For the round trip of 930 miles each way, you will need to purchase about 62 gallons of gas, given a car's gas mileage of 30 miles per gallon.

To calculate the gallons of gas needed for the round trip, follow these steps:

Calculate the total distance for the round trip.

The round trip distance is twice the one-way distance.

Round trip distance = 2 * 930 miles = 1860 miles.

Find the number of gallons required for the round trip.

Divide the total distance by the car's gas mileage (miles per gallon).

Gallons required = Round trip distance / Gas mileage

Gallons required = 1860 miles / 30 miles per gallon

Perform the division.

Gallons required = 62 gallons.

Round the answer.

Since you cannot purchase a fraction of a gallon, round the answer to the nearest gallon.

You will need to purchase approximately 62 gallons of gas for the round trip.

So, to make the trip to see your friends and return home, you will need to purchase about 62 gallons of gas.

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what is 63.75 minus 13.25 please really need help.

Answers

63.75 - 13.25 = x

.75 - .27 = .50

63 - 13 = 60

x = 60.50

hope this helps
The correct answer is 50.5! Good luck :)

A mountain climber climbed down a cliff 50 feet at a time . He did this 5 times in one day . What is the overall change in his elevation ?

Answers

-150 if im correct, it goes down 5 times and thats what i got

the moon is 250,000 miles away. how many feet is it from earth

Answers

225,623 miles. Hope this helps.

To convert the distance from the Earth to the Moon from miles to feet, multiply 250,000 miles by the number of feet in a mile, which is 5,280. This calculation yields a result of approximately 1.32 billion feet.

The distance from the Earth to the Moon is given as 250,000 miles. To convert this distance from miles to feet, we use the fact that there are 5,280 feet in a mile. Thus, we multiply the distance in miles by the number of feet per mile.

To find the distance in feet, perform the following calculation:

Multiply the distance in miles by the number of feet per mile: 250,000 miles × 5,280 feet/mile.

This equals 1,320,000,000 feet.

Therefore, the Moon is approximately 1.32 billion feet away from Earth.

Sue and jonah shose nummbers for a place value game.Sue chose the number one hundred.Jonah chose five million for his number.who chose the greater number

Answers

Jonah chose the greater number, since that number is farther to the left of the number line than Sue's number.

Is the product of an irrational number with a rational number always an irrational number??

Answers

Yes the product of any rational number with an irrational number is always irrational. For example, 2/3 times pi is going to be an irrational result. In this case simply (2/3)pi or (2pi)/3

So the template is
(rational)*(irrational) = irrational

-------------------------------------------------------------------------------------

Here's proof of the claim. Let's make p, q, r, s to be integers. Let's also make m be some irrational number

For now let's assume that multiplying a rational number with an irrational number leads to a rational result. The aim is to use contradiction to prove the opposite.

p/q is rational by definition (make q nonzero)
so is r/s
m is irrational

So the claim so far is
(p/q)*m = r/s

Now multiply both sides by the reciprocal of p/q. That would be q/p
(p/q)*m = r/s
(q/p)*(p/q)*m = (q/p)*(r/s)
m = (q*r)/(p*s)
The right side of the last equation is a rational number since q*r and p*s are integers (p and s are nonzero)

But m was originally irrational. So this is where the contradiction kicks in. This invalidates the initial claim "the product of a rational and irrational number is rational" proving the claim made by your textbook. 

So this completes the proof. 

you have a secret that you to one person every hour each of the people that know the secret tells one person. The number of people who know when is N and T is the number of hours since you told the first person. Is an a linear function s of t?

Answers

Let's examine the function:
Before you tell anybody, only one person knows the secret (that is you), therefore: N(0) = 1
When the first person know, now two people know, therefore: N(1) = 2
After an hour, each of you would have told another person. So now, four people know, therefore, N(2) = 4

This pattern continues with the same manner where it doubles every hour.
As you can see, this is NOT a linear function. It is an exponential function where N(t) = 2^t

What is the next number in the sequence: 4, 11, 25, 53...?

Answers

Answer:

109

Step-by-step explanation:

Given that there is a sequence of numbers as

4,11,25,53,...

We have to find the next number.

To find the next number, let us see the pattern from the given four numbers

We have

I number = 4

II number = 4+7

III number = II number + 2(7)

Iv number = III number +4(7)

So if we guess this pattern continues the next number namely v number would be

V number = IV number +8(7)

=53+56

109

i.e. I number is added by 7, II number by 2(7), III number by 2^2(7)

hence next number 2^3(7)

Answer is 109

The next number in the sequence is:

109

Obtaining the sequence

As can be seen, the first number is a selected number, which in this case is four, to which seven are added to obtain:

4 + 7 = 11

Then double 7 is added to that number, that is 14, with which you get:

11 + 14 = 25

The double of 14 is added to that number, which is 28, so the next number is:

25 + 28 = 53

And to get the next number, double 28 must be added, which is 56, therefore:

53 + 56 = 109

By this reason, the next number in the sequence is 109.

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Nissan Appliances bought two dozen camcorders at a total cost of $3,864. The markup on the camcorders is 30% of the selling price. What was the original selling price of each camcorder?

Answers

well, they bought 12 at 3,864, so each unit is 3864/12 or 322 bucks.

now, we know that those 322 are including a 30% markup, so, the orignal price have been bumped up by 30%, now, if we take say "x" to be the original price, or 100%, then 322 is he 100% + 30%, or 130%, what's "x" anyway?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 322&130 \end{array}\implies \cfrac{x}{322}=\cfrac{100}{130}\implies x=\cfrac{322\cdot 100}{130}[/tex]
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