A pail holds 5 1/2 gallons of water. How much is this in cups? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer 1

1 gallon = 16 cups

so 5 1/2 gallons =
5 1/2 * 16 =
11/2 * 16 =
176/2 =
88 cups <==

Answer 2

Final answer:

5 1/2 gallons of water is equivalent to 88 cups of water. This is calculated by understanding that one gallon equals 16 cups, and therefore multiplying 5.5 (5 1/2 in decimal form) by 16.

Explanation:

The subject of this question is a simple conversion in mathematics. To make this conversion, we need to understand the basic relationship between gallons and cups. In U.S. standard measurements, one gallon is equivalent to 16 cups. So, if we have 5 1/2 gallons, we would multiply this by 16 to get the equivalent number of cups. Hence, 5.5 (which is 5 1/2 in decimal form) multiplied by 16 equals 88. So, 5 1/2 gallons of water is equivalent to 88 cups of water.

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Related Questions

What is 0.68 written as a slimplifed fraction

Answers

0.68 = 68/100

68/100 simplest form is 17/25

hope this helps

.68 into a fraction would be 68/100.
To simplify, for starters, divide both sides by 2.
You get 34/50.
Divide by 2 again, because it can still go further.
You get 18/25
You can look at this different ways, try to factor in different numbers, but this is its lowest form.
Your answer is 18/25

A bucket of nails contains 4.20 × 102 nails. how many dozens of nails does the bucket contain? 1 dozen=12 objects

Answers

First, you must multiply 4.20 x 102 to get the total number of nails in the bucket. 4.20 x 102= 504 nails. Then, to get the amount of nails in dozens, you must divide the number by 12 because there are 12 objects in 1 dozen. 504 nails/12= 42. Therefore, there are 42 dozen nails in the bucket.

My car averages 35 miles to a gallon. when the price of gasoline is $3.09per gallon, what was the cost per mile

Answers

3.09/35 hope that helps !

You have 120 pieces of fabric to make a blanket. Each piece is a square with a side length of 6 inches. You can use as many pieces as possible to create a square blanket.
What is the area of the blanket?
How many pieces of fabric are left over?
How many more pieces of Gabriel would you need to increase the size of the blanket?

Answers

3600 inches squared, 20 and 1

Use the scale factor to find the area of the enlarged figure. Explain your steps.

Answers

well if you divide 25.6 by 8 and then multiply four by that answer then you have the answer for a, so 4 times 3.2=12.8 , and then you would multiply 25.6 and 12.8 which is 327.68

The area of the enlarged figure will be 327.68 square units

The scale factor will be the ratio of the similar sides of a rectangle.

For the given triangles, the required scale factors will be expressed as:

[tex]\frac{4}{8} =\frac{a}{25.6}\\\frac{1}{2} =\frac{a}{25.6}\\2a = 25.6\\a=\frac{25.6}{2} \\a=12.8[/tex]

Next is to get the area of the bigger rectangle:

[tex]Area = Length \times Width\\Area=a\times 25.6\\Area=12.8\times 25.6\\Area=327.68 units^2[/tex]

Hence the area of the enlarged figure will be 327.68 square units

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Mario ordered a pizza for dinner when it arrived Mario quickly ate 1/8 of the pizza or Mario's getting napkins his pet poodle ate 1/3 of the pizza B. Write a numerical expression to show the fraction of the pizza that's left

Answers

Sent a picture of the solution to the problem (s).

What are the 3 numbers in Marlene's puzzle if the quotient of a & c is 8, the quotient of a & b is -16, the quotient of b & c is -0.5, the product of a & c is 2, the product of a & b is -1,?

Answers

a = 4, b = -0.25, c = 0.5

or a = -4, b = 0.25, c = -0.5

Write down what you know in the form of equations:

a / c = 8

a / b = -16

b / c = -0.5

a * c = 2

a * b = -1

Now see if you can express one variable in terms of another. The a * c = 2 expression looks like a nice place to begin.

a * c = 2

Divide both sides by c

a = 2/c

Now look for another expression that uses a and c. The expression a/c = 8 looks like a good possibility.

a/c = 8

Substitute the expression defining a in terms of c into the expression

(2/c)/c = 8

Multiply both sides by c

2/c = 8c

Multiply both sides by c again

2 = 8c^2

divide both sides by 8

2/8 = c^2

1/4 = c^2

Take the square root of both sides

1/2 = c

0.5 = c

Now that we know the value for c, Calculate a using the a = 2/c expression we made.

a = 2/c = 2/.5 = 4

So we now know that a = 4, and c = 0.5

Look for an expression using b that we can solve. a / b = -16 looks like a good place to try

a / b = -16

Substitute the known value of a

4 / b = -16

Multiply both sides by b

4 = -16 b

Divide both sides by -16

-4/16 = b

Simplify

-0.25 = b

So a = 4, b = -0.25, c = 0.5

Verify using the equations given

a / c = 8: 4 / 0.5 = 8 Correct.

a / b = -16: 4 / (-0.25) = -16 Correct

b / c = -0.5: -0.25 / 0.5 = -0.5 Correct

a * c = 2: 4 * 0.5 = 2 Correct

a * b = -1: 4 * -0.25 = -1 Correct

All of the quotients and products come out as they should, so the values determined for a,b,c are correct.

Note: Since the square root was taken for the equation

0.25 = c^2

0.5 = c

The value of either 0.5, or -0.5 is correct for c. So this problem actually has 2 solutions.

They are a = 4, b = -0.25, c = 0.5

or a = -4, b = 0.25, c = -0.5

A vacant lot is being converted into a community garden. The garden and the walkway around its perimeter have an area of 238 ft2. Find the width of the walkway if the garden is 12 ft wide by 15 ft long. ft

Answers

Let us say that:

x = width of walkway

So the area is:

(12 + 2x) (15 + 2x) = 238

2x because we must add x on both sides of length and width

Expanding:

180 + 24x + 30x + 4x^2 = 238

4x^2 + 54x = 58

By completing the square:

x^2 + 13.5x + 45.5625 = 60.0625

(x + 6.75)^2 = 60.0625

x + 6.75 = ±7.75

x = -14.5, 1

Since dimension cannot be negative, therefore:

width = 1 ft

Final answer:

The width of the walkway around the garden is 3.87 ft.

Explanation:

The width of the walkway around the garden can be found by subtracting the area of the garden from the total area of the garden with the walkway.

Calculate the total area of the garden with the walkway by multiplying the length and width: 12 ft * 15 ft = 180 ft2.Subtract the area of the garden from the total area (238 ft2 - 180 ft2) to find the area of the walkway: 58 ft2.Since the walkway surrounds the garden, divide the walkway's area by the length or width of the garden to find the width of the walkway: 58 ft / 15 ft = 3.87 ft.

please
work out -7--9

Answers

-7--9
= -7 + 9
therefore = 2

21.12 is 25.6% of what?

Answers

25.6% of the number 82.5 is 21.12.

25.6% as a decimal 0.256 (divide the number 100 or move the decimal to the left 2 times)

21.12/0.256= 82.5

The answer is 82.5.

Hope this helps!

Which expression represents the phrase, "one third the sum of 12 and a number"?

Answers

let any number to be added to 12 be x, Then "one third the sum of 12 and a number" would be represented by the following expression: {(12 + x) /3}

30000 is blank times as much as 30

Answers

1000 is the answer !

30000 is exactly 1000 as much as 30

(15-6)-3 = 15 - (6 -3) dose this make sense or nonsense?

Answers

No it does not make sense. You misused the parenthesis and the "-" multiplied the variables within the parenthesis and as a result one of them subtracted (15 - 6) by 3 and the other added, which is why the final values are 6 apart. This is not how you use properties in math.
(15 - 6) - 3 = 9 - 3 = 6
15 - (6 - 3) = 15 - 3 = 12

(15 - 6) - 3 = 15 - (6 - 3)

First, let's simplify everything on the left side.

9 - 3 = 15 - (6 - 3)

Now, let's simplify everything on the right side.

9 - 3 = 15 - 3

Then, simplify both sides.

6 = 12

Is 6 = 12?

NO! 6 ≠ 12

Therefore, this equation is not true :)

~Hope I helped!~

how do you Factor this problem 2x^3+4x^2-4x

Answers

Factor out the gcf
2x(x^2+2x-2)

The inner binomial can no longer be factored.
Final answer: 2x(x^2+2x-2)

hello :
2x^3+4x^2-4x = 2x (x²+2x - 2)

Solve the formula for the specified variable
V=BMU for B

Answers

The answer is V / MU = B.

Iris charges a fee for her consulting services plus an hourly rate that is 1 1/5 times her fee. On a 7-hour, Iris charged $470. What is her fee and her hourly rate?

Answers

let's say she charges "x" for her consulting services.

so. she charges then for every hour 1 1/5x. First let's convert that mixed fraction to "improper" and check what is "x". Bearing in mind that, the 470 is for 7 hours of work, but the hourly rate only applies to the 1 1/5x, NOT the fixed consulting fee rate.

[tex]\bf x+7\left( 1\frac{1}{5}x \right)=470\implies x+7\left( \cfrac{1\cdot 5+1}{5}x \right)=470 \\\\\\ x+7\left( \cfrac{6}{5}x \right)=470\implies x+\cfrac{42x}{5}=470\implies \cfrac{5x+42x}{5}=470 \\\\\\ 5x+42x=2350\implies 47x=2350\implies x=\cfrac{2350}{47}\implies \boxed{x=50}[/tex]

what's her hourly rate? well (6/5)x

F = Fee
F + 7(11/5)F = 470
5F + 77F = 2350
F = $28.66
Hourly rate is $63.05
I've rounded up so this may not be exact.

A drivers uses 2.7 gallons of gasoline to drive her car 72.9 miles. what was her cars mileage?

Answers

divide 72.9 by 2.7

72.9 / 2.7 = 27 miles per gallon

Answer:

27 mi/gal

Step-by-step explanation:

The car mileage refers to the number of miles that a vehicle can run per gallon of fuel. A higher car mileage is desirable because it means that the vehicle has a better performance (travels more distance per gallon of fuel.) A driver uses 2.7 gallons of gasoline to drive her car 72.9 miles. The car mileage is:

72.9 miles / 2.7 gallon = 27 miles/gallon

The car can travel 27 miles per gallon of gasoline.

Please help with the 4 questions.

Answers

The best way to do this problem is to write the equations across from each other to equal each other. For example in question 1, 13x+9= 15x-1. From that you can get x=5.

please help me solve the problem 3 \sqrt[5] 3\sqrt[100]

Answers

3 X squareroot (10 X 100) = 3X (10) X squareroot (10) = [ where the squareroot of 100 is 10] 30 X squareroot (10) = 30 X squareroot (2 X 5) = [where the squareroot of 2 is 1.414] 30 X (1.414) X squareroot (5) = 94.85

find every fraction with a whole number denominator less than 50 that is equivalent to 10/15.

Answers

10/15
2/3
20/30
30/45

Hope this helps!

Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the probability set function assigns 1/52 to each of the 52 outcomes. let a = {x: x is a jack, queen, or king}, b = {x: x is a 9, 10, or jack and x is red}, c = {x: x is a club}, d = {x: x is a diamond, a heart, or a spade}.

Answers

In probability problems, look out for the word OR and AND.

OR means adding the probability
AND means multiplying the probability

P(a) = P(jack) + P(queen) + P(king) = (4/52) + (4/52) + (4/52) = 12/52 = 3/13

P(b) = [P(9) + P(10) + P(jack)] × P(red) = [(4/52) + (4/52) + (4/52)] × (26/52)
P(b) = (12/52) × (26/52) = 3/26

P(c) = 13/52 = 1/4

P(d) = P(a diamond) + P(a heart) + P(a spade) = (13/52) + (13/52) + (13/52) = 3/4

the top of an auto piston is a circle with a diameter measuring 8.4 centimeters . what is the area of the top piston ?

Answers

Radius = Diameter /2

So, Radius = 8.4/2 or 4.2

4.2^2 = 17.64.

17.64 x pi = 55.39 sq cm.

cm because we are being consistent with the units of measurement already in use.

area of a circle = PI x r^2

r = 8.4/2 = 4.2

using 3.14 for PI

area = 3.14 x 4.2^2 = 55.3896 square cm

round answer as needed

Productive use of machinery on a farm made it possible to decrease the number of tractors by 12 how many tractors does the farm have now if it used to have 1.5 times more

Answers

So first off, the answer to this is 24 now think of x as the real or original sum or amount, also y as the new sum or amount.
y * 1.5 is x, and y+12 is x. Now flip that to figure out what is y, also which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to minus 12, which can help you get the answer which is 24.

I need help. Suppose angle ABC equals 110. What is angle DBC? Would it be 70?

Answers

now, notice the "tickmarks" on the angles, that means those two angles are equal, now if ∡ABC is 110, then the remaining is 70, 180 - 110, and if you subtract the 70 from 110, what's left is ∡DBC.

Solve:5(a-2)-15=6(12-7)

Answers

The answer to this problem is 11. Hope I helped!

a rectangle has a perimeter,p, length,l, and width,w. which of the following represents l in terms of p and w?

Answers

P = 2 (l + w)
l = length
w = width

so
l + w = P/2
l = P/2 - w

Final answer:

To find the length (l) of a rectangle in terms of the perimeter (p) and width (w), use the formula l = (p - 2w) / 2.

Explanation:

To find the length (l) of a rectangle in terms of the perimeter (p) and width (w), we can use the formula for the perimeter of a rectangle, which is given by:

p = 2l + 2w

Now, solve the equation for l by subtracting 2w from both sides:

p - 2w = 2l

Finally, divide both sides by 2:

l = (p - 2w) / 2

I need help with this problem I'm not that good in math

Answers

1/5(15x-20) = 1/3(12x-9)

multiply the 15 and 20 on the left by 1/5 to get

3x-4

now multiply 12 and 9 by 1/3 to get

4x-3

now you have 3x-4 =4x-3

now solve for x

3x-4 =4x-3

subtract 3 x from each side:

-4 = x-3

add 3 to each side

-1 = x

x = -1

Three carnival tickets cost c cents. What is the cost of one?

Answers

3c I think. Not for sure though.

The probability that a given computer chip will fail is 0.02. find the probability that of 5 delivered chips, exactly 2 will fail.

Answers

Since the chip either passes or fails, this problem is one in binomial probability, with p(fail)=0.02 and n=5.

If your calculator features probability functions such as binompdf(n, p), use it.
Mine is a TI-83 Plus.

The probability that exactly two chips will fail is

binompdf(5,0.02,2) = 0.0038. This is quite a small probability.

Probability of an event is the measure of its chance of occurrence. The probability that of 5 delivered chips, exactly 2 will fail is 0.003764768 or approx 0.0004

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

For the given case, as failing or working of chips usually doesn't depend on other chips' working condition, so they're independent(assuming). There are two cases for each chip's working(random experiment) that it is either working or failed.

If we take Success of the considered binomial experiment(working status of chip) = Chip working fine

Then, as per given data, we have

P(chip working fine ) = 1 - P(chip not working) = 1 - 0.02 = 0.98 = Probability of success in Bernoulli experiment (chip's working status).

There are n = 5 chips, p = probability of success = 0.98, q = 1-p = 0.02

If we take X = number of chips of of 5 chips working, then:

[tex]X \sim B(n = 5, p = 0.98)[/tex]

Then, the needed probability is P(Exactly two chips fail) = P(Exactly 5-2 = 3 chips work) = P(X = 3)

And thus, the needed probability is calculated as:

[tex]P(X = 3) = \: ^5C_3(0.98)^3(0.02)^2 = \dfrac{5.4.3}{3.2.1} \times 0.941192 \times 0.0004 = 0.003764768[/tex]

(using the probability mass function of binomial distribution).

Thus, the probability that of 5 delivered chips, exactly 2 will fail is 0.003764768 or approx 0.0004

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What is the value of x in the equation 2x + 3y = 36, when y = 6?

Answers

x is equal to the value of 9

the answer is x=9

i'm not good at showing my work, but I'm positive in my answer I'm an honors student.

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