The flow of water from a faucet can fill a
3-gallon container in 18 seconds. Give the ratio of gallons to seconds as a rate in gallons per second and as a reduced fraction.

Answers

Answer 1

Answer:

3/18 gallons/seconds, or 1/6 gallons/seconds

Step-by-step explanation:

We know that for every 3 gallons, the faucet fills that amount up in 18 seconds. Another way we can write that is "3 gallons for 18 seconds", or 3 gallons / 18 seconds.

Therefore, in terms of gallons to seconds, we can write this as 3 gallons/18 seconds.

One cool thing we can do with fractions is that if we multiply/divide the numerator by the same thing, the fraction is still the same amount, like if we divided by one. For example, if we multiply 1/10 by 10/10 = 1, we would get 10/100 = 1/10, changing the numbers but still keeping the fraction intact. We can apply this concept here to reduce the fraction.

Reducing the fraction means that we want to make the numerator and denominator as small as possible while still keeping them as integers. This means that, if possible, we should divide both the numerator and denominator by their greatest common factor (if it is greater than 1).

To find the greatest common factor, we can list factors and find the greatest one among them.

We have two numbers, 3 and 18.

The factors of 3 are 1 and 3 while the factors of 18 are 1, 2, 3, 6, 9, and 18. The greatest common number among these two is 3. Therefore, we can divide both these numbers by 3 to get

3/18 = 1/6 gallons/seconds as our answer


Related Questions

I need help I don't understand it.

Answers

These angles are corresponding angles, and we know that corresponding angles are equal when a transversal intersects two parallel lines.

So,

8x - 12 = 6x + 8

=> 8x - 6x = 8 + 12

=> 2x = 20

=> x = 20/2

=> x = 10

So, the value of x is 10.

8x-12=6x+88x-6x=8+122x=20x=20÷2x=10

please mark this answer as brainlist

How many integers $n$ satisfy $-4n\ge 12$ and $n+5>2$??

Answers

-4n ≥ 12   ==>   n ≤ -3

n + 5 > 2   ==>   n > -3

But n cannot be both less than/equal to -3 AND greater than -3, so there are no integers n that satisfy these inequalities.

Answer: 0

Step-by-step explanation:

what is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

Answers

Answer:

this looks complicated

Step-by-step explanation:

2×+16=12(..........+...........)​

Answers

Answer:

The answer is 2x+16=12(1/6x +1/192 )

Step-by-step explanation:

HELLLPPPPPPPPP!!!!!!

Answers

ANSWER:

9) If the season is summer, then it also does not snow.

10) If you live in Salem, then you also live in Oregon.

(I’m not sure if I formatted these correctly in sentences, but hopefully you can see the pattern!)

Geometry, please answer question ASAP

Answers

9514 1404 393

Answer:

  D.  5.4

Step-by-step explanation:

The point U divides segment SP into the ratio 1 : 2. So, segment SU is 1/2 the length of segment UP.

  SU = UP/2 = 3.6/2 = 1.8

The length of PS is ...

  PS = PU +US = 3.6 +1.8

  PS = 5.4

__

Additional comment

If you were asked to find the value of x, you would discover x=1. That is not what you're asked here.

a trader is given 15% discount on goods bought from a factory. If the original price of an item in the factory is 45000. Calculate the amount the trader paid for them​

Answers

Answer:

38,250

Step-by-step explanation:

Its a 15% discount so youre only paying 85% of the original 45,000. You then multiply 45,000 by .85 to find what youre paying because the decimal version of 85% is .85. You can find the decimal version of a percentage by dividing the percentage by 100; 85/100=.85. Once you multiply 45,000 by .85 you get 38,250.

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

A. 11.7
B. 11.9
C. 11.4
D. 14.4

Answers

Answer:

Option A, 11.7

Step-by-step explanation:

To find height,

tan 68 = 26/h

h = 26/tan(68)

to find x

tan(42) = h/x

x = h/tan(42)

x = 11.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

Pls help in this maths problem

Answers

Answer:

SORRY I don't know second number . I did only first .

Question Two please help

Answers

Answer:

The similarity statement is RTS and ACB. Other options are correct

can anyone help me please ?

Answers

3 Answers: Choice B, C, and D

Basically, everything except choice A.

=========================================================

Explanation:

All exponential functions can be written into the form y = a*b^x

The b term determines if we have growth or decay.

If 0 < b < 1, then we have decay. If b > 1, then we have growth.

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

For choice A, we have b = 1.7 which satisfies b > 1. This represents growth. So we cross choice A off the list.

Choice B looks almost identical since it appears b = 1.7 here as well, but note the negative exponent. It might help to rewrite choice B into y = 3( 1.7^(-2) )^x and note how b = (1.7)^(-2) = 0.346 approximately. This represents decay.

Choice C has b = 1/3 = 0.33 approximately which is also decay.

Finally, choice D has b = 2^(-1) = 1/(2^1) = 1/2 = 0.5 which is also decay.

Choices B through D have b values such that 0 < b < 1.

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

Check out the graph below. It visually confirms the answers mentioned earlier. A growth function goes uphill as we move to the right, while a decay function moves downhill while moving to the right.

I used GeoGebra to make the graph.

how much cost Rs 1136 when it is 10% discount and 13% vat is added then find out the discount and Vat amount

Answers

Answer:

Rs 1155.3

Step-by-step explanation:

1136 * .1 = 113.6

1136 - 113.6 = 1022.4

1022.4 * 1.13 = 1155.3

Math nation section 2

Answers

Send the question?

Must click thanks and mark brainliest

A consumer report counted 72 low-quality, 112 medium-quality, and 711 high-quality computers based on a random sample. The report went on to say that all computers, regardless of quality, are packaged identically and sold at the same price.


Use the observed frequencies to create a probability model for the quality of the next computer purchased.


Input your answers as fractions or as decimals rounded to the nearest hundredth.


Quality Estimated Probability (in %)
___________________________________
-Low- :
-Med- :
-High- :

Answers

Answer:

Low = 72/895

Medium = 112/895

High = 711/895

Step-by-step explanation:

Low = number of low quality products over the total number of products

72 / 72 + 112 + 711

Medium = number of medium quality products over the total number of products

112 / 72 + 112 + 711

High = number of high quality products over the total number of products

711 / 72 + 112 + 711

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Low

72/895

Medium

112/895

High

711/895

Step-by-step explanation:

HELP RIGHT AWAY!!!PLEASE EXPLAIN HOW TO SOLVE THE PROBLEM

Answers

Answer:

264

Step-by-step explanation:

Volume = Area of cross section x height

Area of cross section = 1/2 bh

1/2 (8x6) = 24

24 x 11 = 264 yd^3

Which of the following numbers is between 0.08 and 0.4?
(A) 0.019
(B) 0.009
(C) 0.109
(D) 0.91
(E) 0.409

Answers

Answer:

C

Step-by-step explanation:

the numbers between 0.08 and 0.4 are:

0.09, 0.10, 0.11, 0.12, 0.13, 0.14, 0.15, .16, 0.17, 0.18, 0.19, 0.20, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.30, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39

I bolded the number closest to your answer choices, hope this helps!

What is the area of trapezoid DEFG?
PLEASE SO THIS ASAP!!!
MUST SHOW WORK

Answers

Answer:

Area = 35 cm^ 2

Step-by-step explanation:

Area = 1/2(a+b) x h

1/2 (5+9) x 5

= 35 cm^ 2

Answered by G a u t h m a t h

Answer:

A = 35  cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the perpendicular height between the bases and b₁, b₂ are the bases.

Here h = 5 , b₁ = 9 and b₂ = 5 , then

A = [tex]\frac{1}{2}[/tex] × 5 × (9 + 5) = 2.5 × 14 = 35 cm²

how to change mixed fraction into improper fraction and improper to proper fraction easy way

Answers

To convert a mixed fraction to an improper fraction, follow these steps:

Step-by-step explanation:

Multiply the whole number part by the fraction's denominator.Add that to the numerator.Then write the result on top of the denominator

Hope this helps you ❤️

MaRk mE aS braiNliest ❤️

Answer with Step-by-step explanation:

To change the mixed fraction into improper fraction you multiply the denominator with the whole and add to numerator.

For example:  4 1/5 = (5*4)+1/5=21/5

To change improper into proper mixed fraction,

Divide the numerator by denominator and write the remainder on numerator

For example: 7/2= 3 1/2

HELPP!!

What is the approximate sum of this series?

Answers

Answer:

The answer of this question is 134.83

Someone plz round 6.675 to the nearest hundredth

Answers

Answer:

6.68

Step-by-step explanation:

To round 6.675 to the nearest hundredth consider the thousandths’ value of 6.675, which is 5. Therefore, the hundredths value of 6.675 increases by 1 to 8.

6.675 rounded to the nearest hundredth = 6.68

Brainliest if you help me ….

Answers

-15 is the answer your welcome

need help with this!!!

Answers

Answer:

I say the fourth one just because

A washing machine was marked 60% above its cost price . the shopkeeper allows a discount of 25% . calculate his gain%.​

Answers

Answer:

20%

Step-by-step explanation:

I looked it up and that's what I got

11) MZHGF = 16x + 4, m EGF = 110°,
and MZHGE = 3x + 11. Find x.
G
H
F
E

Answers

Answer:  x = 9

=======================================================

Explanation:

The smaller angles HGE and EGF combine to form the largest angle HGF.

This is an example of the angle addition postulate.

(angle HGE) + (angle EGF) = angle HGF

(3x+11) + (110) = 16x+4

3x+121 = 16x+4

121-4 = 16x-3x

117 = 13x

13x = 117

x = 117/13

x = 9 which is the final answer

We can stop here.

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

Extra info (optional section)

Use this x value to find each angle shown below

angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degreesangle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees

Then notice how,

(angle HGE)+(angle EGF) = 38+110 = 148

which is exactly the measure of angle HGF

This confirms that the equation

(angle HGE) + (angle EGF) = angle HGF

is true for that x value of x = 9. Therefore, the answer is confirmed.

9514 1404 393

Answer:

  11) x = 9°

  13) x = -12°

Step-by-step explanation:

11) ∠HGE +∠EGF = ∠HGF

  (3x +11) +(110°) = (16x +4)

  117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms

  9° = x . . . . . . . . . . . . divide by 13

__

13) ∠BCF +∠FCD = ∠BCD

  (x +78) +(x +41) = 95°

  2x = -24°

  x = -12°

2 cm = 7.5 m in the drawing the mall is 8.6 cm tall how tall is the actual mall

Answers

Step-by-step explanation:

here's the answer to your question

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

D

Step-by-step explanation:

we take the base as a right angled triangle with sides 6mi , 8 mi and hypotenuse 10 mi.

area of base=1/2×6×8=24 mi²

volume=base area ×height

=24×8

=192 mi³

Answer:

D

Step-by-step explanation:

Find slopes of the given points .


[tex]\Large\star\tt {(5,6)\atop (3,-2)}[/tex]
[tex]\Large\star\tt {(-3,4)\atop (4,-7)}[/tex]


Spam free answers required .

Well explained answer will be marked as brainliest .​

Answers

Answer:

Use the slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

The first one:

m = (-2 - 6)/(3 - 5) = -8/-2 = 4

The second one:

m = (-7 - 4)/(4 - (-3)) = -11/7

Answer:

Step-by-step explanation:

1)  (x₁,y₁) = (5 , 6)   &  (x₂,y₂) = (3 , -2)

[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-2-6}{3-5}\\\\=\dfrac{-8}{-2}\\\\=4[/tex]

2) (x₁,y₁) = (-3, 4)   &  (x₂,y₂) = (4 , -7)

[tex]Slope= \dfrac{-7-4}{4-[-3]}\\[/tex]

           [tex]= \dfrac{-11}{4+3}\\\\=\dfrac{-11}{7}[/tex]

What is the equation of the following graph in vertex form?
Y=(X-3)^2-1
Y=(X+3)^2-1
Y=(X-4)^2-2
Y=(X-4)^2+8

Answers

Answer:

Hello,

answer B

Step-by-step explanation:

Vertex is (-3,-1)

The equation of the parabola should be:

y=k*(x+3)²-1

(0,8) is a point of the parabola:

8=k*(0+3)²-1

8+1=9k

k=1

Equation is y=(x+3)²-1

Answer B



I need help ASAP please

Answers

Answer:

it's the third one.

Step-by-step explanation:

It should be a bold/filled circle on the line instead of an empty one.

If A=(prime number less than 10)list the element of set A and find n(A)​

Answers

A=(2 3 5 7)
N(A) =4


( sorry I need the points)
Other Questions
A carbon resistor has a resistance of 976 ohms at 0 degrees C. Determine its resistance at 89 degrees C (2/3)^x-1=27/8, find x. Please add a step-by-step explanation.[tex]( \frac{2}{3} ) {x - 1 = \frac{27}{8} }^{?} [/tex] write an inspirational story of robyn rihanna fenty two example of viruses rectangle a is dilated to form rectangle b. what is the scale factor used . Put yourself in a leadership position and prepare a staff meeting using this quote from your textbook: 'provide creative materials and activities that the children can work on and complete by themselves. Focus on the child's sense of self-assurance and confidence and share your 'notes' on the staff meeting along with one creative activity you might share with the staff to make your point! Find the interval in which f(x) = 3x2 - 2x is decreasing. While planning a hiking trip, you examine a map of the trail you are going on hike. The scale on the map shows that 2 inches represents 5 miles.If the trail measures 12 inches on the map, how long is the trail? (5,4) (3,7) find the equation for A+b=C Although the earth is a spherical object, it is not a full sphere . Write two reasons for that? If AABC is reflected across the y-axis, what are the coordinates of A'? Need help on this please!!! 10 points!!! derive expression for pressure exerted by gas A car driving down a road runs of gas and will eventually stop because of:A. FrictionB. ThrustC. It will remain in motion foreverOD. Gravity Explain the pro's and Con's about using and or having social media ? Rex buries 6 bones in the backyard on Monday then he buries more on Tuesday he buried a total of 10 bones how many did he bury Tuesday? please help me with my question I will mark as brainliest for the first correct answer A piece of calcium metal was reacted with excess dilute acid to produce hydrogen gas. The gas was collected at SLC. If 4.58g of calcium reacted, what volume of hydrogen gas will be collected? Two astronomy students travel to South Dakota. One stands on Earths surface and enjoys some sunshine. At the same time, the other descends into a gold mine where neutrinos are detected, arriving in time to detect the creation of a new radioactive argon nucleus. Although the photon at the surface and the neutrinos in the mine arrive at the same time, they have had very different histories. Describe the differences. Find the slope of the line passing through the points (-2, -8) and (9,-8).slope: