What is a rate in math?

Answers

Answer 1

Answer:

Answer:

A rate is a ratio between two related quantities.

Step-by-step explanation:

Often, the rate has associated units. Often, the word "per" is used to separate the quantities of the ratio, as in "miles per hour" or "dollars per gallon". In this context, "per" means "divided by."

If the units of the quantities are the same, they cancel, and the rate is a "pure number" (a number with no units). A tax rate, for example, is some number of dollars per dollar, a pure number, often expressed as a percentage.

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Unit rates

A "unit rate" is a rate in which one of the quantities is 1 unit. Usually, that is the denominator quantity. A rate that is not a unit rate can be made to be a unit rate by carrying out the division of the numbers.

For example, 3 dollars for 2 pounds ($3/(2#)) is expressed as the unit rate $1.50 per pound.

Some years ago, grocery stores began putting unit rates on price tags so that prices could be compared more easily (at least some of the time). Sometimes the comparison is complicated by different units being used for similar products.

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Percentages

A percentage is the ratio of similar measurements, expressed with a denominator of 100. ("Cent" means "hundred" in "per cent.") The "/100" in the ratio is generally abbreviated as the symbol "%". Since the ratio is of quantities with similar units, it is a pure number.

Occasionally, you will find the idea of "percent" used to relate quantities that are measured differently. For example, a drug that has a concentration of x mg/(100 mL) may be specified as an x% solution.

The proportion of items of significantly different density may be specified either by weight or by volume. That is a mixture that is x% "by weight" may be y% "by volume" (x≠y). The choice of weight or volume will generally depend on the typical way an amount of the mixture is measured.

Answer 2

Answer:

Step-by-step explanation:

La tasa es un coeficiente que expresa la relación entre la cantidad y la frecuencia de un fenómeno o un grupo de números. Se utiliza para indicar la presencia de una situación que no puede ser medida en forma directa.

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A water lily is floating in a murky pond rooted on the bottom of the pond by a stem of unknown length. The lily can be lifted 2 feet over the water and moved 6 feet to the side. What is the depth of the pond?

Answers

The depth of the pond is 8 feet and this can be determined by using the Pythagorean theorem.

Given :

A water lily is floating in a murky pond rooted on the bottom of the pond by a stem of unknown length.
The lily can be lifted 2 feet over the water and moved 6 feet to the side.

The Pythagorean theorem can be used to determine the depth of the pound. The Pythagorean theorem according to the attached diagram is given by:

$\rm (BD)^2 = (BC)^2+(CD)^2$

Now, put the value of the given lengths according to the attached diagram in the above equation.

$(x+2)^2= 6^2+x^2$

$x^2+4+4x = 36+x^2$

4x = 32

x = 8

Therefore, the depth of the pond is 8 feet.

For more information, refer to the link given below:

brainly.com/question/15190643

12 Feet is the depth of the pond. I am just guessing but i think that is it.

Anyone know this? that box is just when I get the answr

Answers

$\huge\textsf{Hey there!}$

$\mathsf{(1)/(5)*(1)/(2)}$

$= \mathsf{(1*1)/(5*2)}$

$\mathsf{1 * 1 = \boxed{\bold{1}} \leftarrow NUMERATOR\ (TOP\ number)}$

$\mathsf{5*2 = \boxed{\bold{10}} \leftarrow DENOMINATOR\ (BOTTOM \ number) }$

$\mathsf{= (1)/(10)}$

$\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf (1)/(10)}}}\huge\checkmark$

$\large\textsf{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

Answer:

1/10

Step-by-step explanation:

1/5 x 1/2

1/10

Bye , hope this helps!

Give brainliest !

An oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 25 barrels per day. Required:
How many additional wells should be drilled to obtain the maximum amount of oil per day?

Answers

Answer:

The additional wells for maximum amount of oil per day is 3 wells.

Step-by-step explanation:

Given;

initial number of wells, n = 6

total production, T = 1800

average production per well, = 1800/6 = 300 barrels per day

Let the additional well = y

total number of wells after optimization = 6 + y

new production per well = 300 - 25y

new total production = (6+y)(300-25y)

t = 1800 - 150y + 300y - 25y²

t = 1800 + 150y - 25y²

dt / dy = 150 -50y

for maximum value, dt/dy = 0

150 - 50y = 0

50y = 150

y = 150 / 50

y = 3

Therefore, the additional wells for maximum amount of oil per day is 3 wells.

Final answer:

By setting up the equation of the total daily oil production and finding its maximum, we learn that approximately 13 additional wells should be drilled to maximize the daily oil production.

Explanation:

To find out how many additional wells should be drilled to obtain the maximum

amount of oil

per day, we must firstly set up an equation to represent the situation. The total daily oil production is equal to the number of wells multiplied by the daily production per well. Given the conditions in the question, we can express this as:

Total daily oil production = (6 + x) * (1800 - 25x)

where x represents the number of additional wells that should be drilled. In order to find the maximum of this function, we would have to differentiate this equation and set the derivative equal to 0 then solve for x. This would be up to the individual's level of mathematical experience. However, one can use a financial calculator or a graphic calculator to find the maximum and get approximately 13 additional wells.

Learn more about Maximizing oil production here:

brainly.com/question/29428711

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In ∆ABC, c=5.4, a= 3.3 and M less than A =20. What are the possible approximate length of b? Use the laws of sines to find answer 2.0 units and 4.6 units
2.1 units and 8.7 units
2.3 units and 7.8 units
2.6 units and 6.6 units

Answers

The Law of Sines tells you

... sin(C)/c = sin(A)/a

... sin(C) = c·sin(A)/a . . . . multiply by c

... C = arcsin(c·sin(A)/a) . . take the inverse sine

Then

... sin(B)/b = sin(A)/a . . . . law of sines again

... b = a·sin(B)/sin(A) . . . . multiply by a·b/sin(A)

where B = 180° - A - C = 160° - C . . . . . . sum of angles in a triangle is 180°

Filling in the given values, we get

... C = arcsin(5.4·sin(20°)/3.3) ≈ 34.033° or 145.967°

Then

... B = 125.967° or 14.033°

and

... b = 3.3/sin(20°)·sin(125.967°) or 3.3/sin(20°)·sin(14.033°)

... b = 7.8 or 2.3 . . . units

The appropriate choice is

... 2.3 units and 7.8 units

Answer:

C)2.3 units and 7.8 units

Step-by-step explanation:

If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be hired in their first 6 months out of college is 59%, what is the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will not get hired in the first 6 months out of college?

Answers

Answer: The required probability is 41%.

Step-by-step explanation:

Since we have given that

Probability that he will be hired in their first 6 month out of college = 59% = 0.59

So, we know that

total probability = 100% = 1

Probability that he will not get hired in the first 6 months out of college would be

$P(H')=1-P(H)=1-0.59=0.41=41\%$

Hence, the required probability is 41%.

Your grandmother always has a jar of cookies on her counter. One day while you are visiting you eat 5 cookies from the jar. In the equation below, c is the number of cookies remaining in the jar and b is the number of cookies in the jar before your visit. The relationship between these two variables can be expressed by the following equation: c=b-5

Answers

Answer:

So, As You Could See In The Equation C=B-5. C, Which Is The Number Of Cookies Left In The Jar. Is What They Are Trying To Solve For.

Always Remeber Dependant Variable Is What Were Observing, And Independant Variable Is What Were Changing.

So, In This Case C Is The Dependant Variable, And B Is The Independant Variable.

I Hoped This Helped!

Answer:

C is dependent, B is independent

Step-by-step explanation:

The dependent variable is the number that is affected when you change the independent variable—it depends on the independent variable.

Does the number of cookies remaining in the jar depend on the number of cookies in the jar before your visit, or does the number of cookies in the jar before your visit depend on the number of cookies remaining in the jar.

The number of cookies remaining in the jar depends on the number of cookies in the jar before your visit. Therefore, the number of cookies remaining in the jar is the dependent variable, and the number of cookies in the jar before your visit is the independent variable.

Therefore, C is the dependant variable, and B is the independant variable.

Hope this helps! <3

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