What fraction of 300 gallons is 117 L? Give your answer in simplest form. 1 gallon = 4.5 L.

Answers

Answer 1

Answer:

Use proportions to find the gallon equivalent of 117 L:

[tex]\frac{1gal}{4.5L} =\frac{Xgal}{117L}[/tex]

Cross-multiply & solve:

[tex]4.5x=117\\x=26[/tex]

So 117 L = 26 gallons

Out of 300 gallons, it's

[tex]\frac{26}{300} =\frac{2(13)}{2(150)} =\frac{13}{150}[/tex]

I hope this is how you're suppose to solve it..


Related Questions

Hi pls help
Find the volume of this sphere.
Use 3 for T.
V ~ [?]in3
V =473
1 in

Answers

Answer:

volume of the sphere=4/3πr³

=4/3×3×1³ inch³

=4 inch³

Please answer the question on the screenshot.

Answers

Answer:

less than, less than, greater than (from top to bottom)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If f(x) = -3 3 and g(x)= 4x2 + 2x - 4, find (f +g)(x).

Answers

Answer:

A. 4x² + 9x/4 - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x/4 - 3

g(x) = 4x² + 2x - 4

(f + g)(x) is f(x) + g(x)

Step 2: Find

Substitute in functions:                                                                                     (f + g)(x) = x/4 - 3 + 4x² + 2x - 4Combine like terms:                                                                                         (f + g)(x) = 4x² + 9x/4 - 7

In which figure is DE BC

Answers

Answer:

Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.

DB

AD

=

AC

AE

[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.

7.2

AD

=

5.4

1.8

AD=

5.4

7.2×1.8

AD=

10

24

⟹AD=2.4cm

Someone help, I suck at math

Answers

option A.55°

Answer:

Solution given:

<x+<y=<z

exterior angle of a triangle is equal to the sum of two opposite interior angle

4n-18+n+8=133-6n

5n+6n=133+10

11n=143

n=143/11

n=13

exterior angle =133-6*13=55°

option A.55°

A body is projected from aa point such that the horizontal and vertical components of its velocity are [tex]640ms^-^1[/tex] and [tex]480 ms^-^1[/tex] respectively . (Take g = [tex]10ms^-^1[/tex] )
i. Calculate the greatest height attained above the point of projection
A.600m B.1215 m C.1521 m D. 11520m E. 20480m

Answers

D. 11520m

Answer:

Solution given:

initial velocity[u]=480m/s

g=10m/s²

maximum height=?

now

we have

maximum height=[tex]\frac{u²sin²\theta}{2g}[/tex]

where

[tex]\theta=90°[/tex]

=[tex]\frac{480²*sin90}{2*10}=11520m[/tex]

Ayudaaa!! Cortamos una cuerda de 60cm en 5 trozos. Hay 3 trozos cortos que miden lo mismo y los otros 2 trozos miden 5cm mas que los cortos. ¿Cuánto miden los trozos?

Answers

Answer:

The short pieces are 10  cm each and the long pieces are 15 cm each.

Step-by-step explanation:

We cut a 60cm rope into 5 pieces. There are 3 short pieces that measure the same and the other 2 pieces are 5cm longer than the short ones. How long are the pieces?

let the length of the short pieces is p.

Length of longer pieces = p + 5

So,

60 = 3 p + 2 (p+ 5)

60 = 3 p + 2p + 10

5 p =  50

p = 10 cm

So, the short pieces are 10  cm each and the long pieces are 15 cm each.

Find the value of t for a t-distribution with 12 degrees of freedom such that the area to the left of t equals 0.025. Round your answer to three decimal places, if necessary.

Answers

Answer:

-2.179

Step-by-step explanation:

Given :

Degree of freedom, df = 12

Area to the left = 0.025

The value of T can be obtained using either a t distribution table or a T value calculator :

t0.025, 12 (to the left) = t(1-0.025), 12 = t0.975,12 = - 2.1788

Therefor le, t value with 12 degree of freedom, with area to the left being 0.025 is - 2.179

if tanA=12/16,find sin 2A​

Answers

Solution:

First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)

Second, we need to determine the length of the unknown side.

In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is

[tex]c = \sqrt{16^{2} + 12^{2}}[/tex]

[tex]c = 20[/tex]

After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.

We know that,

sin 2A = 2 sin A cos A

Then, we need to determine the values of sin A and cos A.

Based on the figure (attached photo), the values of sin A and cos A are

sin A = opposite side / hypotenuse

sin A = 12/20

sin A = 3/5

cos A = adjacent side / hypotenuse

cos A = 16/20

cos A = 4/5

Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.

Therefore, the the value of sin 2A is

sin 2A = 2 sin A cos A

sin 2A = 2(3/5)(4/5)

sin 2A = 24/25

use the substitution method to find the value of y in the given system of equations y=2x+5 x+y=4

Answers

Answer:

y = 13/3

Step-by-step explanation:

substitute y=2x+5 in x+y = 4

x+2x+5 = 4

3x+5=4

3x= -1

x= -1/3

substitute x= 1-/3 in x+y = 4

-1/3 +y = 4

y = 13/3

Which is a simplified form of the expression -5(y – 2) – 7y?
A. -12y + 10
B. 2y - 10
C. -2y + 10
D. 12y - 10

Answers

Answer:

the answer is B

Step-by-step explanation:

-5(y-2)-7y

-5y-10-7y

+7y +7y

answer: 2y-10

Answer:

A. (-12y+10)

Step-by-step explanation:

-5(y-2) - 7y can be simplified to:

-5y + 10 - 7y when you factor the parenthesis.

If you add the y's together, the answer should be:

-12y + 10.

.

How many cubes with side 2cm are needed to make a cube with side 6cm​

Answers

Answer:

27 cubes

Step-by-step explanation:

Cube with side 2 has volume:

2³ = 8

Cube with side 6 has volume:

6³ = 2³*3³ = 8*27

Number of cubes:

8*27/8 = 27

What is the end behavior? 10 points!!

Answers

Given:

The given function is:

[tex]f_1(x)=-3\cdot 2^{x-5}-4[/tex]

The graph of the function is given.

To find:

The end behavior of the given function.

Solution:

We have,

[tex]f_1(x)=-3\cdot 2^{x-5}-4[/tex]

From the given graph it is clear that the function approaches to -4 at x approaches negative infinite and the function approaches to negative infinite at x approaches infinite.

[tex]f_1(x)\to -4[/tex] as [tex]x\to -\infty[/tex]

[tex]f_1(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]

Therefore, the end behaviors of the given function are:

[tex]f_1(x)\to -4[/tex] as [tex]x\to -\infty[/tex]

[tex]f_1(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]

pleasee help me,A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train

Answers

i think it may be that the train is going too fast zoom km 1600 km at the end

given the polynomial : (3x+4)^5. find the coefficient of x³ !​

Answers

Answer:

[tex] \displaystyle 4320 {x }^{3} [/tex]

Step-by-step explanation:

to solve binomials like this there's a way called binomial theorem given by

[tex] \displaystyle {(a + b)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

but for this question we need the following part

[tex] \displaystyle \boxed{ \binom{n}{k} {a}^{n - k} {b}^{k} }[/tex]

from the question we obtain that a,b and n is 3x,4 and 5 since we want to find the coefficient k should be (5-3) = 2 so we have determined the variables now just substitute

[tex] \displaystyle \binom{5}{2} {(3x)}^{5 - 2} \cdot {4}^{2} [/tex]

simplify which yields:

[tex] \displaystyle \boxed{ \bold{4320 {x }^{3}} }[/tex]

and we are done!

the red line below is perpendicular to which of the following

Answers

The red line is perpendicular to the y-axis.

The product of three different positive integers is equal to 7^3. What is the sum of the three integers?

Answers

Answer:

sum of three positive integer=57

Step-by-step explanation:

let x,y,z be three positive no.

given :-

xyz=7³

xyz=343

xyz=1×7×49

x+y+z=(1+7+49)

sum=57

Answer:

343

Step-by-step explanation:

7^3

change 7^3 to a natural number or enter 7^3 on a calculator

7×7×7

=343

factors of 343=1,7,49,343

1×7×49=343

1+7+49=57

If you answer this correctly you get a cookie

Answers

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Total waste = 22 000 in^3

If we use a proportion we have:

x : 100 = 2000 : 22 000

x = 200 000 / 22 000 = 9,09 % (option a is wrong

x : 100 = 7000 : 22 000

x = 700 000 / 22 000 = 31 % (ok)

which system of equations is satisfied by the solutions shown in the graph

Answers

There is no graph how could we answer

I need help with all of em please

Answers

Answer:5/4

Step-by-step explanation: i think this is the answer

Answer:

The area is 30 units squared, the perimeter is 17 units, and the answer to the question below is 9

Step-by-step explanation:

Can someone do my summer online school for me

Answers

Answer:

No. Try harder next year.

A daycare center operator wanted to survey her parents to determine if they were interested in the center providing once-a-month Saturday night care for their children. Rather than survey all 254 parents, the operator took the list of parents' names and, starting with the third parent's name, surveyed every twelfth parent. What type of sampling did the daycare operator use

Answers

Answer:

Systematic Sampling

Step-by-step explanation:

According to the Question,

systematic sampling is a statistical method involving the selection of elements from an ordered sampling frame. The most common form of systematic sampling is an equiprobability method. In this approach, progression through the list is treated circularly, with a return to the top once the end of the list is passed. The sampling starts by selecting an element from the list at random and then every Kth element in the frame is selected.

So, systematic sampling is right Answer.

Answer:

Systematic Sampling

Step-by-step explanation:

What type of sampling did the daycare operator use Systematic Sampling.

Pencils cost $0.30 each and pads of paper cost $1.25 each. You have $3.30 to spend and you need 6 pencils. How many pads of paper can you purchase?

Answers

Answer:

6 x 0,30 = $1,80

$3,30 - $1,80 = $1,50

$1,50 - $1,25 = $0,25 (not enough money)

you can buy 1 pad of paper

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Answer:

(1/3) r2 =(1/3) r +14

1/6 divided by 83 r + 14

97r

i think...

I hope this helps you!

XoXo Mashayla

Step-by-step explanation:

What is the solution to the system of equations below?

y = three-fourths x minus 12 and y = negative 4 x minus 31

Answers

Answer:

  x,y = -4, -15

Step-by-step explanation:

In general, what can you say about the difference when you subtract a larger integer from a smaller integer?

Answers

Answer:

To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value

Its about similar figures and scale drawing
No links

Answers

Answer:

5 in

Step-by-step explanation:

by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5

Answer: X = 5

Step-by-step explanation:

4 divided by 2 = 2

So 10 divided by 2 = 5

To the nearest penny, what is the price of 3.2 pounds of ham that costs $2.99 per pound?​

Answers

[tex]\begin{array}{ccll} Lbs&\$\\ \cline{1-2} 1&2.99\\ 3.2&x \end{array}\implies \cfrac{1}{3.2}=\cfrac{2.99}{x}\implies x = (3.2)(2.99)\implies \stackrel{\textit{rounded up}}{x = 9.57}[/tex]

A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice. How many cases of soya bean drink have the same volume as one cases of fruit juice.

Answers

Answer:

2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

Step-by-step explanation:

Let the case of soya beans drink be x and let the case of fruit juice be y

We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.

This means that;

10x + 8y = 4x + 11y

Rearranging, we have;

10x - 4x = 11y - 8y

6x = 3y

Thus;

y = 6x/3

y = 2x

This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

A man runs at the speed of 10 km/hr. How much time will he take to cover 2000 meters?

Answers

200 hours.

It’s 10km for every one hour
Divide 2000 by 10 and you will be left with the number of km for every one hour.
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