17. A tub can drain 24 gallons of water in 5 minutes. What is this rate in cups per second? Use conversion factors to determine the answer. Show your work.

Answers

Answer 1

The tub is said to drain 24 gallons of water in 5 minutes.

The rate at which water is drained is;

\(\text{Rate r}=\frac{volume}{time}\)

The volume is given as 24 gallons.

Recall that 1 US gallon is equivalent to 16 US cups.

\(\begin{gathered} \text{Volume = 24 gallons }\times16\text{ cups/gallon} \\ \text{Volume}=384\text{ cups} \end{gathered}\)

Time taken is given as 5 minutes.

since the rate is in cups per second, we need the convert the time to seconds;

\(\begin{gathered} \text{Time}=5\text{ minutes}\times60\text{ seconds/minute} \\ \text{Time}=300\text{ seconds} \end{gathered}\)

Using the rate formula, The rate in cups per second is;

\(\text{Rate r}=\frac{384}{300}=1.28\text{ cups/second}\)

The rate in cups per second is 1.28 cups per second


Related Questions

the speed limit in front of swayzee elementary school is 25 miles per hour. this is half the speed of a major street one mile away. what is the speed limit of the major street?

Answers

Question:

the speed limit in front of swayzee elementary school is 25 miles per hour. this is half the speed of a major street one mile away. what is the speed limit of the major street?

Answer:

The speed limit of the major street is 50 miles per hour.

Cómo se hace y cómo es el proceso ayuda porfaaaaa


Cmo se hace y cmo es el proceso ayuda porfaaaaa

Answers

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

1. The current population of a certain bacteria is 6336 organism. It is believed that bacteria's population is tripling every 10minutes. Approximate the population of the bacteria 5 minutes from now.
organisms (round to nearest whole number)
2. The current population of a small town is 1823 people. It is believed that town's population is tripling every 12 years. Approximate the population of the town 3 years from now.
residents (round to nearest whole number)
3. Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days. The current population of the colony is known to be 580 mosquitos; that is, P(0)=580. If P′(0)=72 mosquitos per day, estimate the size of the population in 12 days.
Mosquitos (round to nearest whole number)

Answers

Answer:

a) 28395

b) 3859

c) 980

Step-by-step explanation:

The formula to determine the population is as follows -

\(P = P_0 * e^{rt}\)

a) P0 = 6336

r = 3/10

t = 5

Substituting the given values, we get

\(P = 6336 * e ^{\frac{3}{10} *5}\)

P = 28395

b) Substituting the given values

\(P = 1823 * e^{\frac{3}{12} *3}\\P = 3859\)

c) Substituting the given values

\(P = 580 * e^{72*12}\\P = 3859\\P = 580 *1.69\\P = 980\)

EXAMPLE 1 Find a Unit Rate Invol Sergio is training for a triathlon. His target speed is 25 miles per hour. Did he achieve his target speed for the first 7 miles of his ride? Reasoning You can use a unit rate to describe Sergio's cycling speed.​

Answers

Answer:

m

Step-by-step explanation:

mmm

I got this answer wrong,, please help mewhat is the volume of the pentagonal pyramid if apothem = 10round to the nearest tenth.

I got this answer wrong,, please help mewhat is the volume of the pentagonal pyramid if apothem = 10round

Answers

Remember that the volume of a pyramid is:

\(V=\frac{1}{3}A_{}h\)

Where A is the area of the base.

Now, we have a pentagon as a base. let's calculate the area by dividing it into 5 triangles, as following:

This way, the area is:

\(5\cdot\frac{14\cdot10}{2}=350\)

Using this in the formula, we get:

\(V=\frac{1}{3}\cdot350\cdot35=4083.33\)

Thereby, the volume of the pentagonal pyramid is 4083.33 cubic milimeters.

I got this answer wrong,, please help mewhat is the volume of the pentagonal pyramid if apothem = 10round

Please help me!!!
If a girl is in 6th grade and has 3 A's 1 B, 1 C and 1 D in grades what is her grade point average.


please help this could determine whether i go to the next grade or not

Answers

Answer:

Her GPA is 3

Step-by-step explanation:

an A is 4 points

B is 3 points

C is 2 points

D is 1 point

She has A, A, A, B, C, D for her grades. (6 grades total)

That equals

4 + 4 + 4 + 3 + 2 + 1 = 18 points

Then we divide the points by the number of grades we're looking at.

18/6 = 3

Her grade point average is 3.

Answer:

Grading Chart

A = 4.0 A- = 3.67  B+ = 3.33  B = 3.0 B- = 2.67

C+ = 2.33 C = 2.0 C- = 1.67  D = 1.0 F = 0.0

So your semester GPA is: 3.44

Also your semester Credit Total is: 18

n= 9c-80 solve for c. if n= 19 what is the value of c?

Answers

Answer:

Step-by-step explanation:

n = 9c - 80

n = 19

19 = 9c - 80

-9c = -80 - 19

-9c = -99

c = 99 / 9

c = 11

Hope this helps

plz mark as brainliest!!!!!!

Can someone please help me? I’ll give brainliest to the first person who gets it right

Can someone please help me? Ill give brainliest to the first person who gets it right

Answers

Answer:

128 degrees

Step-by-step explanation:

B = D

B = 128

Therefore, D = 128

This shape has these characteristics:

 ⇒ there are two sets of parallel sides

      ⇒ This shape is a parallelogram

Since this shape is a parallelogram:

  ⇒ meaning that angles opposite to each other

       ⇒ equal in measure

Since ∠B and ∠D are opposite each other

  ⇒ ∠D = 125°

Answer: ∠D = 125°

Hope that helps!

how many fourths in 1/4

Answers

Answer:

1

Step-by-step explanation:

a fourth is 1/4 meaning Fourth = 1/4

PLEASE HELP!! 25 POINTS!! WILL MARK BRAINLIEST!!
The directrix of a parabola is the liney=5. The focus of the parabola is (2,1)

.

What is the equation of the parabola?


y=18(x−2)2−3

y=18(x−2)2+3
y=−18(x−2)2+3
y=−18(x−2)2−3

Answers

Answer:The equation of the parabola is y=18(x−2)2−3

Q6 : "Social media has become a ubiquitous part of modern life, allowing people to connect with friends, family, and strangers from all around the world. However, social media use has been linked to a number of negative mental health outcomes, including increased rates of depression, anxiety, and stress. This is due in part to the constant pressure to present a perfect image of oneself, leading to feelings of inadequacy and self-doubt. Additionally, the endless stream of news and information on social media can be overwhelming and lead to feelings of information overload and burnout. However, not all social media use is negative. Research has also shown that social media can be a valuable tool for promoting social support and connection, particularly among marginalized communities. It can also be a source of education and awareness, allowing people to learn about important issues and engage with social and political causes." What is one negative mental health outcome associated with social media use?"

Increased social support and connection

Greater awareness of social and political issues

Higher rates of depression and anxiety

Improved self-esteem and self-worth

Answers

Higher rates of depression and anxiety are one negative mental health outcome associated with social media use

Social media and modern life:

The paragraph discusses the role of social media in modern life and its impact on mental health. It notes that social media has become a ubiquitous part of life that allows people to connect with others from around the world, including friends, family, and strangers.

However, the paragraph goes on to mention that social media use has been linked to negative mental health outcomes such as depression, anxiety, and stress.

These negative outcomes may be due to the pressure individuals feel to present a perfect image of themselves online, leading to feelings of inadequacy and self-doubt.

Despite these negative outcomes, the paragraph notes that social media can also be valuable for promoting social support and connection, especially among marginalized communities.

Furthermore, it can be a source of education and awareness, allowing people to learn about important social and political issues and engage with them.

Hence,

Higher rates of depression and anxiety are one negative mental health outcome associated with social media use

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first to reply i will give brainliest btw there is no qusetion

Answers

Answer: Hii!

Step-by-step explanation:

The data show your strokes for 18 holes of miniature golf.Find the mean, median, ndmode(s) of the data. Which measure best represents the data? Explain your reasoning.4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6, 2

Answers

We have to calculate the mean, median and mode (or modes) of the data.

The size of the sample is n = 18.

We can start by sorting the data:

[1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8]

We can calculate the mean as:

\(\begin{gathered} Mean=\frac{1}{n}\sum_{i\mathop{=}1}^nx_i \\ Mean=\frac{1}{18}(1+2*5+3*4+4*4+5*2+6+8) \\ Mean=\frac{1}{18}(1+10+12+16+10+6+8) \\ Mean=\frac{1}{18}(63) \\ Mean=3.5 \end{gathered}\)

NOTE: we use the frequency of each value to save space, but we could have just add each value individually and get the same result.

We now will identify the median.

As we have an even sample size, the median will be the average between the 9th value and the 10th value.

Both values are 3, so the median is also 3.

The mode is the most frequent value in the dataset. In this case, the mode is 2, with a frequency of 5.

Both the mean and the median represent the data correctly as central measures. As the median is more robust than the mean, we can select the median as the best representation of the data.

Answer:

Mean = 3.5

Median = 3

Mode = 2

The median is a robust representation of the data.

Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?

Answers

Answer:

The cost of the meal should be multiplied by 1.19.

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

Let the cost of the meal be x.

Adding a tip of 19%:

x + 19% = x + 0.19x = x (1 + 0.19) = 1.19x

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

I need help with this question please and thank you

I need help with this question please and thank you

Answers

Answer:

\(x(x+3)\)

Step-by-step explanation:

The least common denominator of a and b is the smallest multiplier that is divisible by both a and b. In this case, for:

\(\begin{gathered} \frac{x+4}{x}+\frac{x}{x+3}=\frac{(x+3)(x+4)+x\cdot x}{x(x+3)} \\ \end{gathered}\)

HELP PLS will give brainliest-

please provide how to do it aswell

HELP PLS will give brainliest-please provide how to do it aswell

Answers

Answer:

I'm not exactly sure yet but i believe the 3rd choice is best!

Comment!

(Soon i will give reasoning and answer or change it unless i am right)

Tell me stuff in comments i'll see what i can do.

Step-by-step explanation:

Hope i helped!

Thanks,

Your helper :)

Friend me!

Answer: D

Step-by-step explanation:

You just have to test pi/6

\(\dfrac{30}{cos(6*\dfrac{Pi}{6})} =\dfrac{30}{cos(\Pi)} =-30\)

HELP PLS will give brainliest-please provide how to do it aswell

Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square​

Answers

There is no whole number by which you can multiply or divide 16087 to make it a perfect square.

To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.

In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.

To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.

A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.

Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.

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Find the equation for the line that passes through the (4,8) and intercepts with the X axis at -12.Make a sketch of its graph and label it “Line L”.Be sure to label the increments on the x and y axis of your graph.Create and write down an equation for the line parallel to Line L.Graph this perpendicular line.

Answers

The following diagram shows the graph of the line:

The line passes througt (4,8) and (-12,0) so the slope must be:

\(m=\frac{8-0}{4-(-12)}=\frac{8}{16}=\frac{1}{2}=0.5\)

And the y-intercept of the graph is at (0,6) so the equation must be:

\(y=\frac{1}{2}x+6\)

Any line with the same slope will be parallel to line L, for example:

\(y=\frac{1}{2}x+2\)

As shown in the graph:

Find the equation for the line that passes through the (4,8) and intercepts with the X axis at -12.Make
Find the equation for the line that passes through the (4,8) and intercepts with the X axis at -12.Make
Find the equation for the line that passes through the (4,8) and intercepts with the X axis at -12.Make

Share your own multi-step combination problem

Answers

My own multi-step combination problem is given below:

Amanda  was planning a dinner party for 10 people, and she want to choose a menu of 3 fruit , 2 meat pie, and 2 desserts. Amanda  have a total of 5 fruit , 4 meat pie, and 3 desserts to choose from. How many different dinner menus can Amanda  create?

How do you solve the multi-step combination?

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

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Roll a pair of fair six-sided dice. Let D denote the absolute value of the difference between the dice. For example, if a 3 and a 5 are rolled, then D = 2. Find the expected value of the random vari- able D, E[D]. 1. E[D]= 2. E[D]= 3. E[D] = 4. E[D]= 76 36 36 70 36 72 36

Answers

The expected value of the random variable D is 6.. This gives us the following equation :E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6)

The expected value of the random variable D, E[D], can be calculated using the following formula :E[D] = ΣD P(D) Where ΣD is the sum of all possible values of D and P(D) is the probability of each of those values. In this case, the possible values of D are 0, 1, 2, 3, 4, 5. The probability of each of these values is the same, since each has an equal chance of being rolled on the dice. To calculate the expected value, we must multiply each value of D with its probability, and then sum all of these products. This gives us the following equation:E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) .E[D] = 36/6 = 6.Therefore, the expected value of the random variable D is 6.

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Select the values that make the inequality -q> -7 true. Then write an equivalent inequality, in terms of q. (Numbers written in order from least to greatest going across.) ​

Select the values that make the inequality -q> -7 true. Then write an equivalent inequality, in terms

Answers

The inequality relation  -q > -7  can be represented in the form of q as q < 7

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be A

The value of A is - q > - 7

Now , multiplying by (-1) on both sides of the equation , we get

( -1 ) ( -q ) > ( -1 ) ( - 7 )

The inequality relation will change the sign from > to < and ,

q < 7

So , the value of the inequality relation A is q < 7

Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

Hence , The inequality relation  -q > -7  can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

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There is one way that 100005 can be written as a sum of two prime numbers. Which two prime numbers add up to 100005?

Answers

The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.

How to find the prime numbers ?

To find the two prime numbers, the relevant relationship would be  the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.

So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.

The other number would therefore be:

= 100005 - 2

= 100003

100003 is a prime number so the two prime numbers are 2 and 100003.

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In item 16, how many bacteria will there
be after 5 splittings?
(1) 2
(2) 4
(3) 8
(4) 16
(5) 32

Answers

Answer: 32 i think

Step-by-step explanation:

assuming there was one original bacteria, then multiplying it by two, or splitting it in two five times means 32

5 is going to be your answer for this question. Have a great day my dude.

What is the formula forfinding the area of a circle using its radius or diameter.

Answers

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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From a roll of No. 12 wire, an electrician cut the following lengths: 6, 8, 20, and 9 ft. How many feet of wire did he use?

Answers

Using the addition, it is found that Total length of wire used by the electrician is 76 feet.

What does addition serve as?

From One of the four fundamental operations of mathematics is addition, which is denoted by the plus sign (+). The another three are subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.

We have been given that roll of No. 12 wire, an electrician cut the following lengths: 6, 8, 20, and 9 ft.

We will use simple addition the Total length used by electrician is

(9 + 13 + 42 + 12) feet.

= 76 feet

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can someone please help me find the valu of x?

can someone please help me find the valu of x?

Answers

The addition of the interior angles in a pentagon is equal to 540°, then:

85 + 115 + 100 + x + 107 = 540

x = 540 - 85 - 115 - 100 - 107

x = 133°

PLEASE HELP! GIVING 20 POINTS


do to the problem

find the surface area of this prism

PLEASE HELP! GIVING 20 POINTSdo to the problemfind the surface area of this prism

Answers

Answer:

The surface area is 23

Step-by-step explanation:

Good Luck!

Answer:

A=2(wl+hl+hw)=2·(8·10+5·10+5·8)=340

Step-by-step explanation:

The sum of the measures of the exterior angles of a 25-gon is

Answers

The sum of the measures of the exterior angles of a 25-gon is 4140 degrees

How to determine the sum of the exterior angles

From the question, we have the following parameters that can be used in our computation:

Polygon = 25-gon

This means that

n = 25

The sum of the exterior angles of a polygon is calculated as

Sum = 180(n - 2)

Substitute the known values in the above equation, so, we have the following representation

Sum = 180 * (25 - 2)

Evaluate

Sum = 4140

Hence, the sum is 4140 degrees

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Look at the chart showing a clothing stores daily stock data for the past month . Which statement is a fair conclusion based on the chart

Look at the chart showing a clothing stores daily stock data for the past month . Which statement is

Answers

Answer: c

Step-by-step explanation:

I NEED THIS TODAY PLEASE
To play a board game, a player
spins the pointer of a spinner with
four equal sections numbered 1-4,
and then flips a fair coin. Use a tree
diagram to represent the sample
space. What is the probability of
spinning either a 3 or a 4 AND flipping
a head?

Answers

Answer:

15%

Step-by-step explanation: maybe

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