Susan's penny bank is 1/4 full. After she adds 360 pennies, it is 5/8 full. How many pennies can Susan's bank hold?

Answers

Answer 1

576 is the answer, I think!!! Is it multiple choice?

Answer 2

Since 360 pennies are added to Susan's penny bank and it ends up as being 5/8 full, we need to find out how many pennies is equivalent to 8/8 (1, or full).

We already know that 360 equals 5/8 of Susan's penny bank, so divide 360 by 8.

360 / 8 = 45

Then, multiply 45 by 3 in order to find how many pennies is equivalent to 3/8 of the penny bank.

45 x 3 = 135

After that, add 360 to 135, which is theoretically the same as 5/8 + 3/8.

360 + 135 = 495

5/8 + 3/8 = 8/8 or 1

Therefore, Susan's penny bank can hold 495 pennies in total.

P.S. This may not be your preferred method of solving this problem, but this is certainly one of the ways of understanding them. -AM

Related Questions

Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula mc024-1.jpg, mc024-2.jpg with d being the distance they can see in miles and h being their eye-level height in feet.

Answers

The formula is:

d = √ [ 3h / 2], for h > 0

where d is the distance they can see in miles, and h is their eye-level height in feet.

In the case of Wyatt, h = 120 ft

=> d = √ [ 3(120) ] / 2 = √180 = 13.42 miles

In the case of Shawn, h = 270 ft

=> d = √ [ 3 (270) / 2 ] = √ 405 = 20.12 miles

Given that the question is how much farther Shawn can see to the horizon, you must find the difference:

20.12 miles - 13.42 miles = 6.7 miles

Answer: 6.7 miles

Answer:

3 sqrt5

Step-by-step explanation:

Investigators at the scene of a crime strongly suspect that a handwritten promissory note for $10,000.00 has been altered to read $40,000.00. how might this be proven?

Answers

To prove that there is altering made on the promissory note, the investigators should test the ink on a piece of TLC. This would tell them when the ink was used and how long ago it was used so they can compare.

Which graph represents the solution set of the system of inequalities?

{−2x+y≤4
y>x+2

Answers

I would say that it is b

Answer:

The correct graph is:

First graph

Step-by-step explanation:

The first inequality is:

[tex]-2x+y\leq 4[/tex]

The graph of this inequality is a straight solid line ( since the inequality is a inequality with a equality sign i.e. not strict ) which passes through (-2,0) and (0,4) and the shaded region is towards the origin as it passes the zero point test.

The second inequality is:

[tex]y>x+2[/tex]

is a dotted straight line (since the inequality is strict) which passes through (-2,0) and (0,2) and the shaded region is away from the origin as it fails the zero point test.

Hence, the correct graph is the first graph.

Talia is packing a moving box. She has a square-framed poster with an area of 9 square feet. The cube-shaped box has a volume of 30 cubic feet. Will the posture lie flat in the box?

Answers

We calculate for the dimensions (the length of the sides) of both the poster and the cube. If the length of the side of the poster is shorter compared to that of the box then, the poster will lie flat in the cube. However, if the poster has a length that is longer than that of the cube then, it will not lie flat in the cube.

length of the poster = sqrt (9 ft^2) = 3 ft
length of the cube = cbrt (30 ft^3) = 3.11 ft

Since, the length of the cube is longer compared to the length of the poster then, the poster will lie flat on the cube.

Answer: Yes, the posture will be lie flat in the box.

Step-by-step explanation:

since we have given that

Area of square framed poster = 9 sq. feet

Volume of cube shaped box = 30 cubic feet.

As we know the formula for "volume of cube":

[tex]Volume=30\\\\a^3=30\\\\a=\sqrt[3]{30}=3.10\ feet[/tex]

So, Area of cube shaped box would be

[tex]6a^2=6\times (3.1)^2=57.9\ ft^2[/tex]

Since the cube box is large enough so that the posture will lie flat in the box.

The probability that concert tickets are available by telephone is 0.91. for the same event, the probability that tickets are available through a web site is 0.96. assume that these two ways to buy tickets are independent. what is the probability that someone who tries to buy tickets both through the internet and by the telephone will obtain at least one ticket? round your answer to four decimal places (e.g. 98.7654).

Answers

Final answer:

The probability of obtaining at least one concert ticket through both the internet and by telephone is 0.9984.

Explanation:

The probability that someone who tries to buy tickets both through the internet and by telephone will obtain at least one ticket is 0.9984.

To calculate this, we first find the probability of not getting any tickets through either method: P(no tickets) = P(no tickets by phone) * P(no tickets online). Then, subtract this probability from 1 to get the probability of obtaining at least one ticket: P(at least one ticket) = 1 - P(no tickets).

The perimeter of a rectangle is 900 yards. what are the dimensions of the rectangle if the length is 70 yards more than the width?

Answers

First, it would be best to divide each side of the rectangle (4 sides) equally first that is:

900:4= 225

So, now we know each side is 225 Yards first..
Now, since the length is 70 yards longer than the width, we know that:

Length: 225+70= 295

Respectively, we also know that the width is 70 yards shorter since the length is already 70 yards longer:

Width: 225-70=155

Checking answer: (295*2) + (155*2) = 900 Yards

As our final answer, the dimension of the rectangle is 295 yards (Length) by 155 yards (Width)

Hope this help with your studies.

Devin brought his snail collection to school.He has 10 snails.How could he put them into 2 tanks so two classes could see them?Write equation for all the possible ways.One of the way is given. Explain how you have found all the ways.

Answers

10×2 and 10+10 because you're doing multiplication

Which expression is the best estimate of the product of 7/8 and 1/10

Answers

multiply across 7/80

A hose fills a tank at a rate of 20 gallons per minute.

What is the rate in liters per hour?

(1 gallon ≈ 3.79 liters)

Answers

First, you need to know how many gallons will be in the tank after 1 hour. So:

Answer:

[tex]\frac{4548}{1}[/tex] liters per hour.

Step-by-step explanation:

Given : A hose fills a tank at a rate of 20 gallons per minute.

To find : What is the rate in liters per hour?

Solution : We have given

A tank can fill hose in 1 minute = 20 gallon .

1 gallon = 3.79 liters.

20 gallon = 20 * 3.79 = 75.8 liters.

20 gallon = 75 .8 liters.

So,

A tank can fill hose in 1 minute = 75.8 liters.

A tank can fill hose in 60 minute = 75.8 * 60 liters = 4548 liters.

A tank can fill hose in 1 hour = 4548 liters.

Rate = [tex]\frac{4548}{1}[/tex] liters per hour.

Therefore, [tex]\frac{4548}{1}[/tex] liters per hour.

Can someone please help me with #2 and 4 please thanks

Answers

2. x(2x^2+x+3)

4. 2x^4+11x^2+12= (2x+3)(x+4)

I need help to figure this problem out

Answers

check the picture below.

keeping in mind that, "x" is just a length unit, and thus it cannot be negative.

Julie owns a video store. Her monthly expenses, including rent, average $1,168. This year she made $34,416 in revenue. What is the difference between her average monthly revenue and her average monthly expenses?

Answers

Since there are 12 months in a year, we can divide her yearly revenue over 12 to get 34416/12=2868 as her average monthly revenue. Since her expenses are 1168 and difference means subtraction, we subtract 1168 from 2868 (due to that revenue came first in the last sentence of the question) to get
2868-1168=1700

help help help please

Answers

Answers:
The length of XY is 4
The length of ZW is 6

Because we don't get the same length (for XY and ZW), this means that the segments are not congruent.

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

To find the length of segment XY, you can count the number of spaces between -7 and -3 to get 4 units. Or you can subtract and use the absolute value notation to ensure the result is positive

|-7-(-3)| = |-7+3| = |-4| = 4

Do the same for segment ZW.
|2-8| = |-6| = 6

if f(x) = 2x-5, which expression represents f(x+1)

Answers

F(x)=2x-5
Insert the value of x which is x+1 ->
F(x+1)= 2(x+1)-5
Distribute ->
F(x+1)=2x+2-5
Then, add like terms->
F(x+1)=2x-3

Answer: The required expression for f(x+1) is 2x-3.

Step-by-step explanation: We are given the following function :

[tex]f(x)=2x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We are to find the expression for f(x+1).

To find the expression for f(x+1), we need to substitute x+1 in place of x in (i).

So, we get from expression (i) that

[tex]f(x+1)\\\\=2(x+1)-5\\\\=2x+2-5\\\\=2x-3.[/tex]

Thus, the required expression for f(x+1) is 2x-3.

The following is Michael Jordan’s baseball stats. Year Avg Gm AB R H TB 2B 3B HR 1994 0.202 127 436 46 88 116 17 1 3 Research baseball statistics online to determine what each label represent in the baseball world. How can you use the given information to determine how many singles Jordan hit during his baseball career?

Answers

Using mathematical operations, the total no. of singles Jordan hit during his baseball career = 67.

What are mathematical operations?

Understanding the distinction between Operators and Operands will be made easier if we are aware of the differences between and purposes for Numbers/Values, Symbols, and Functions.

Understanding mathematical operations will be aided by being aware of the distinction between Operators and Operands as well as their function.

In the given statistics,

The number of Home Runs = 3

The number of Doubles = 17

The number of Triples = 1

The total no. of hits = 88

Now, to calculate the total no. of singles hit = 88 - (3+17+1)

= 67

Therefore, the total no. of singles Jordan hit during his baseball career = 67.

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You buy a bookshelf. The label on the box says the bookshelf is 5151 inches tall. How tall is it in feet?

Answers

It would be 429.25 feet tall

1 foot = 12 inches

so 5151 inches divided by 12 = 429.25 feet tall

that is too tall for a normal house so hopefully you meant 51 inches

51 / 12 = 4.25 (4 1/4) feet tall

By default, the normal style places ____ points of blank space after each paragraph. 8 10 12 14

Answers

The Correct answer from given options is 10.
The normal style places 10 points of blank space after each paragraph.
In Microsoft word when we want to start a new paragraph we press enter from the keyboard and the new paragraph will start. We can also use a dialog box to write, show or highlight the paragraph.

What is the side length of the smallest square plate on which a 30-cm chopstick can fit along a diagonal without any overhang?

Answers

Answer:

21.2

Step-by-step explanation:

math xl said so

The side length of the smallest square plate is 21.2 units.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, length of diagonal on the square is 30 cm.

Let the side of a square be x.

Now, x²+x²=30²

2x²=900

x²=450

x=√450

x=21.2 units

Therefore, the side length of the smallest square plate is 21.2 units.

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are relations always functions

Answers

No. Just because something is related to something, doesn't mean it functions the same way.

No, if a relation fails the vertical line test it's not a function

Angela lives in the United States. She went on a trip, flying first to London, then to Paris, then back to the United States. Assume that currency rates remained constant during her trip.a. If the currency rate was $1.67 per English pound, about how many pounds did she receive in exchange for $500 cash? Show your work or explain your reasoning.

Answers

[tex]\bf \begin{array}{ccll} dollar&po und\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1.67& 1\\ 500& p \end{array}\implies \cfrac{1.67}{500}=\cfrac{1}{p}\implies p=\cfrac{500\cdot 1}{1.67}[/tex]

The number of pounds that she received in exchange for $500 cash will be 299.40 pounds.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Angela lives in the United States. She went on a trip, flying first to London, then to Paris, then back to the United States. Assume that currency rates remained constant during her trip. If the currency rate was $1.67 per English pound.

The dollar is directly proportional to the pound.

Let p be the number of the pound.

p / 500 = 1 / 1.67

p = 500 / 1.67

p = 299.40 pounds.

The number of pounds that she received in exchange for $500 cash will be 299.40 pounds.

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a food store makes a 11-pound mixture of peanuts, almonds, and raisians. The cost of peanuts is $1.50 per pounds, almonds cost $3.00 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as many peanuts as almounds. The total cost of the mixture is $21.00. How much of each ingredient did the store use.

Answers

6 bags of peanuts, 3 bags of almonds, and 2 bags of raisins

Please calculate −0.5(7b−12a)−(8.4a−14b) if a=−10; b=−6.

Answers

The answer to your question would be -39.

To mail a first class letter, the U.S Postal Service charges $.34 for the first ounce and $.21 for each additional ounce. It cost $1.18 to mail your letter. How many ounces does your letter weigh?

Answers

Correct answer is 5 ounces

Write and English phrase that would translate into the following mathematical expression. 5z-8.

Which of the following is equivalent to the expression 5z-8?

Answers

5z - 8

8 less then the product of 5 and a number z <== this is equivalent

do I still have to write an English phrase ?....if so,
the product of 5 and a number z, decreased by 8

Answers

I just took the test, and the answer is A 504.24

Cindy's new annual premium including the discount would be given by: Option A: $504.24

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

The table given is:

Type of Insurance Coverage= {Coverage Limits} and {Annual Premiums}

Bodily Injury $50/100,000 $31. 75

Property Damage $25,000 $120. 50

Collision $500 deductible $275. 75

Comprehensive $100 deductible $100. 00

Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528

Discount offered to her = 4.5% of $528 = (in dollars)

The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24

Therefore, Cindy's new annual premium including the discount would be given by: Option A: $504.24

To learn more about the percentage;

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The complete question is ;

After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4. 5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $50/100,000 $31. 75 Property Damage $25,000 $120. 50 Collision $500 deductible $275. 75 Comprehensive $100 deductible $100. 00 a. $504. 24 b. $523. 50 c. $528. 00 d. $551. 76.

PLEASE HELP:::
Louise used this figure to model the expression 20/4.

Answers

did you figure out the answer cause i need it

The answer is C because if it doesn't start at zero, then it wouldn't make 5 groups.

1. Clara grew 2 1/8 inches from her ninth birthday to her tenth birthday. If she was 53 2/3 inches when she turned nine. How tall was she when she turned ten?

Answers

53 2/3 + 2 1/8

53 + 2 = 55
2/3 + 1/8 = 16/24 + 3/24 = 19/24
55 + 19/24 = 55 19/24 inches <==

Rotating a polygon in Quadrant II 270° clockwise is the same as
A) rotating it 90° clockwise.
B) rotating it 180° clockwise.
C) rotating it 90° counterclockwise.
D) rotating it 270° counterclockwise.

Answers

Hi! A and B are definitely not the right answers, because that’s basically rotating it forward even more. Rotating a polygon in Quadrant II 370 degrees clockwise is like rotating it 99 degrees counterclockwise, because the next 90 degrees you were to rotate it, it would be in it’s original position. The answer is C.

Answer:

90°

Step-by-step explanation:

You want to make five-letter codes that use the letters a, f, e, r, and m without repeating any letter. what is the probability that a randomly chosen code starts with a?0.100.150.200.25

Answers

0.2 is the probability that a randomly chosen code starts with a

Answer:

Option C is the right answer

Step-by-step explanation:

The probability that a randomly chosen code starts with A is 0.20

there are 40 girls on a softball team. 3 out of every 5 prefer chocolate over vanilla milkshakes .

how many girls prefer chocolate milkshakes

Answers

24 girls prefer chocolate over vanilla.

24 girls prefer chocolate milkshakes out of 40 girls.

Ratio and proportions

From the given information, you can see that we have a total of 40 girls

If 3 out of every 5 prefer chocolate over vanilla milkshakes, hen;

3girls = every 5 prefer chocolate

x = 40 girls

Cross multiply

5x = 3 * 40

5x = 120

x = 24

Hence 24 girls prefer chocolate milkshakes

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