The container that holds the water for the football team is 1/6 full. After pouring in 11 gallons of water, it is 2/3 full. How many gallons can the container hold?

Answers

Answer 1

Answer:

The container can hold 22 gallons of water.

Step-by-step explanation:

Let 'g' be the number of gallons a container can hold

Given the initial amount of water = 1/6 g

Given that 11 gallons of water have been added to the container.

so the final quantity will become = 2/3 g

Thus, the equation becomes

[tex]\frac{2}{3}g-\frac{1}{6}g=11[/tex]

Multiply by LCM 6

[tex]\frac{2}{3}g\cdot \:6-\frac{1}{6}g\cdot \:6=11\cdot \:6[/tex]

[tex]4g-g=66[/tex]

[tex]3g=66[/tex]

Divide both sides by 3

[tex]\frac{3g}{3}=\frac{66}{3}[/tex]

[tex]g=22[/tex]

Therefore, the container can hold 22 gallons of water.


Related Questions

Triangle ABC is graphed below with vertices at A (-4,5), B (-6, -4) and C (4,-4). Use the following rule to produce
triangle A'B'C' using ABC as the original image.
F(x,y) — (x+2, -y)
Show Your Work
Someone help me to solve this problem asap! Please


Answers

Step-by-step explanation:

A(-4, 5) => A'(-4+2, -5) = A'(-2, -5)

B(-6, -4) => B'(-6+2, -(-4)) = B'(-4, 4)

C(4, -4) => C'(4+2, -(-4)) = C'(6, 4)

Hence the new coordinates are A'(-2, -5), B'(-4, 4) and C'(6, 4).

What are the slope and the y-intercept of Brenda's graph?
A. Slope =1 /3; y-intercept = 7

B. Slope = -3; y-intercept = 21

c. Slope = - 1/3 ; y-intercept =21

D. Slope- 1/3 ; y-intercept = 7

Answers

Answer:

The answer is letter D.

Step-by-step explanation:

hope this helps

plz help mezzzzzaZzZzZzZzZzZ

Answers

Answer:

1/33

Step-by-step explanation:

Typically you would want to solve this equation by dividing both sides by 3 but we need to find an equivalent equation that gives the same answer. 3 divided by 3 is the same as 3 times 1/3. Thus;

3x * 1/3 = 9 * 1/3

x = 3

Best of Luck!

Answer:

3

Step-by-step explanation:

3x = 9

= 3x/3 = 9/3

= 3

HURRY UP WILL GIVE BRAINLYEST AND 20 POINTS What is the value of
O -4
O -2
O 2
O 4

Answers

Answer:

4

Step-by-step explanation:

you multiply -2 and 7 which makes a negative then you subtract from 15 and get 1 so then you divide 1 by 4 which gives you 4

Answer:

u do edg2020 just like me

 4 is corrrrect answerrrrr

Kevin walked a total of 14.98 miles last week. He walked the same distance each of the 7 days. How many miles did Kevin walk each day?

Answers

Answer:

2.14?

Step-by-step explanation:

(I'm not good at explaining, but I THINK its 2.14)

2×2 dvkjsdnvkjdbvjdbvj

Answers

Answer:

4

Step-by-step explanation:

its 4 lol

Answer:

4

Step-by-step explanation:

pls Help. If you do I will give the first person who answers 100 points

Answers

Answer:

2%

Step-by-step explanation:

so the point [tex](\sqrt{3},\sqrt{7})[/tex] is in the circumference so the distance from (0,0) to this point will be the radius of the bullseye

[tex]x=\sqrt{(\sqrt{3}-0)^2+(\sqrt{7}-0)^2}\\\\x=\sqrt{3+7}\\\\x=\sqrt{10}[/tex]

so that's the radius

so the area will be

[tex]A=\pi x^2\\\\A=\pi (\sqrt{10})^2\\\\A=10\pi[/tex]

so the percentage is

[tex]P=\frac{A}{1600}\\\\=\frac{10\pi}{1600}\\\\=\frac{\pi}{160}\\\\P\approx 0.02[/tex]

so it's 2%

HELP ME THIS MY LAST QUESTION PLEASE!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: c

Step-by-step explanation:

Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.

.




The polynomial simplifies to an expression that is a____
A.quadratic
B.liner
C.constany
______
A.trinomial
B.binomial
C.monomial
with a degree of____
A.1
B.2
C.0

Answers

Since the leading degree of the resulting expression is 2, hence the  polynomial simplifies to an expression that is a quadratic

Simplifying polynomial expressions

Polynomial expressions are expressions that has a leading degree of 3 and above.

Given the expression

(-5x² - 2x + 4) + (8x² - x - 1) - (x+2)(x-5)

Expand the polynomial

(-5x² - 2x + 4) + (8x² - x - 1) - (x² -3x - 10)

Collect the like terms

-5x² + 8x² - x² - 2x - x + 3x + 4 - 1 + 10

2x²  + 13

Since the leading degree of the resulting expression is 2, hence the  polynomial simplifies to an expression that is a quadratic

Learn more on polynomial here: https://brainly.com/question/2833285

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Sophia was out at a restaurant for dinner when the bill came. Her dinner came to $22. She wanted to leave a 21% tip. How much was her meal plus the tip, before tax, in dollars and cents?​

Answers

Answer:

Her meal was $26 and 62 cents

Step-by-step explanation:

Find the unit prices to the nearest tenth of one cent 12 oz for $2.10

Answers

Answer:

Concept: Unit Price & Algebraic Representation

You have 12 oz You have a total price of 2.10 Hence you divide 2.10/12 Your result to the nearest tenth is 0.2 Rate positively and give brainlist

Tara bought 30 books at a yard sale. She now has 220 books. Which equation can be solved to find b, the number of books Tara had before the yard sale?

Answers

Answer:

220 = B + 30

Step-by-step explanation:

This can be rearranged many ways

B= 190

B= 220 - 30

ETC...

explanation please?!?!

Answers

Answer:

third option

Step-by-step explanation:

[tex]first\:one:\\\\2x+10=-2x+10 \rightarrow\leftarrow\\\\second:\\\\-2(x+5)=2x-10\\\\-2x-10=2x-10\rightarrow\leftarrow\\\\third:\\\\-2x-10=-2(x+5)\\\\-2x-10=-2x-10 \\\\fourth:\\\\-2(x-5)=-2x-10\\\\-2x+10=-2x-10\rightarrow\leftarrow[/tex]

Note: this symbol [tex]\rightarrow\leftarrow[/tex] means contradiction, you can take it as doesn't work

I hope that i explained enough

Complete the table shown to the right for the half life of a certain radioactive substance.
Decay rate:1.5% per year=-0.015

The half life is ___ years

Answers

Given:

Decay rate: 1.5% per year = -0.015

To find:

The half life.

Solution:

The continuous exponential decay function is

[tex]A(t)=Ae^{-kt}[/tex]

where, a is initial value, -k is decay rate and t is time period.

For half life, [tex]A(t)=\dfrac{A}{2}[/tex],

[tex]\dfrac{A}{2}=Ae^{-0.015t}[/tex]

Dividing both sides by A.

[tex]\dfrac{1}{2}=e^{-0.015t}[/tex]

Taking natural log on both sides.

[tex]\ln \dfrac{1}{2}=\ln e^{-0.015t}[/tex]

[tex]-0.69314718=-0.015t[/tex]

Divide both sides by -0.015.

[tex]\dfrac{-0.69314718}{-0.015}=t[/tex]

[tex]46.209812 =t[/tex]

[tex]t\approx 46[/tex]

Therefore, the half life is 46 years.

Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?

Answers

Answer:

Rita had a 28-mile head start.

Step-by-step explanation:

Answer:

the answer is A my lil' dudes

Step-by-step explanation:

Evaluate each expression. 9. ⎪31⎥ + ⎪–5⎥10. ⎪–16⎥ – ⎪4⎥ 11. ⎪–28⎥ – ⎪–1⎥12. ⎪11–2⎥ 13. ⎪44⎥ + ⎪–34⎥14. ⎪–101⎥ – ⎪–1⎥

Answers

Answer:

Step-by-step explanation:

9. 31 + 5 = 36

10. 16 - 4 = 12

11. 28 - 1 = 27

12. 9

13. 34 + 44 = 78

14. 101 - 1 = 100

Describe some possible combinations (at least 2) of 4-seat tables and 6-seat tables that will seat 160 customers. Explain how you found them. Write an equation to represent the situation. What do the variables represent?

Answers

Answer:

You could do 50 2 seat tables and 5 4 seat tables

You could do you could do 40 2 seat tables and 10 4 seat tables

Step-by-step explanation:

brainliest plz

Multiply 35 x 2/15 plsssssssssssssss

Answers

Answer:

75/25

Step-by-step explanation:

Can y’all please help me

Answers

The y-intercept is 1

What is 4π=w−6π
PLEASE HELP

Answers

Answer:

w = 10π

w ≈ 31.4159

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

4π = w - 6π

Step 2: Solve for w

Add 6π on both sides:                    10π = wRewrite:                                            w = 10πEvaluate:                                          w ≈ 31.4159

Answer and Step-by-step explanation:

4[tex]\pi[/tex] = w -6[tex]\pi[/tex]

Add 6[tex]\pi[/tex] to both sides.

10[tex]\pi[/tex] = w

(10 pi equals variable w)

This is your answer.

#teamtrees #WAP (Water And Plant)

A group of eight people are attending the movies together.

a. Two of the eight insist on sitting side by side. In how many ways can the eight be seated together in a row?
b. Two of the people do not like each other and do not want to sit side-by-side. Now how many ways can the eight be seated together in a row?

Answers

Answer:

I think A

Step-by-step explanation:

Hannah is working two summer jobs, making $18 per hour lifeguarding and $9 per hour clearing tables. Last week Hannah worked twice as many hours clearing tables as she worked hours lifeguarding hours and earned a total of $144. Graphically solve a system of equations in order to determine the number of hours Hannah worked lifeguarding last week, x,x, and the number of hours Hannah worked clearing tables last week, yy.

Answers

Step-by-step explanation:

18/hour life guarding and 9/hour clearing tables. so 9 divided by 144 gives you ur hours then u just divide by 2 to get life guarding hours pls tell me if u need help

WILL GIVE BRAINLISEST

Answers

Answer:

No solution

Step-by-step explanation:

Answer:

Zero

Step-by-step explanation:

A car was moving at 14 m/s. After 3 seconds, its speed increased to 20 m/s. What was the acceleration during this time?

Answers

Answer:

6 mph

Step-by-step explanation:

the cars acceleration was

6mph

Find the 15th term of the geometric sequence 1, -4, 16, ...1,−4,16,

Answers

Answer:

Doesn't look like a geometric sequence.

Step-by-step explanation:

If 1, -4, 16 keeps repeating then the answer is 16.

26+5 i am in kinder pls help

Answers

31 you kinder ok bud
Answer:
31
you could just use a calculator yk

If the drawing length is 7 cm. and the real length is 28 metres , then drawing scale is what​

Answers

Answer:

1cm =4 cm

Step-by-step explanation:

28/7=4

so Scale is 4

Have a nice Day , I would appreciate it if you could mark my answer brainliest

The drawing should have a scale of 400:1.

What is scale?

A scale is a group of levels or numbers that are applied to a certain system of measurement or comparison.

Given, the drawing length is 7cm and the real length is 28 meters.

real length in cm = 2800. hence,

Scale of drawing = 2800: 7 = 400 : 7

Therefore, 400: 1 would be the scale of the given drawing.

Learn more about scale here:

https://brainly.com/question/28465126

#SPJ2

WILL GIVE BRAINLIEST PLEASE QUICK
Yosef is trying to determine whether or not he drinks enough water each day. Today, on average, he drank Two-fifths of a glass of water every hour for 10 hours. To determine how much water he had, he set up the equation, Two-fifths times 10 ?. What is the total amount of water Yosef drank? StartFraction 1 Over 25 EndFraction of a glass One-fourth of a glass 4 glasses 25 glasses

Answers

Answer:

4 glasses

Step-by-step explanation:

im sorry if im wrong

Answer:

4 glasses

Step-by-step explanation:

ur welcome

If angle 4 is x + 15 and angle 2 is 3x - 5, what is the
value of x?

Answers

Answer:

I cant tell what u mean but if the angles are equal the answer is 10

Step-by-step explanation:

Based on the calculations, the value of x is equal to 42.5.

Given the following data:

Angle 4 = x + 15.Angle 2 = 3x - 5.

To determine the value of x:

What is a supplementary angle?

A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.

Mathematically, a supplementary angle is calculated as follows:

[tex]Angle\;2+Angle\;4 =180\\\\3x-5 +x+15=180\\\\4x+10=180\\\\4x=180-10\\\\4x=170\\\\x=\frac{170}{4}[/tex]

x = 42.5.

Read more on supplementary angle here: brainly.com/question/10335289

PLEASE HELP ME!!!
On a road trip a family drives 350 miles per day how many days D must they travel to reach the distance of at least 1400. Solve the inequality what does the solution represent in this situation?
(Just in case you wanted to see the question I put a picture)

Answers

Answer:

[tex]350 * D \geq 1400[/tex]

[tex]D\ge 4[/tex]

This means that the family must travel for at least 4 days.

Step-by-step explanation:

Given

[tex]Rate = 350\ miles\ daily[/tex]

[tex]Distance = 1400\ miles\ (atleast)[/tex]

Required

Determine and solve the inequality

The number of days is represented with D

So:

On any D number of days, the family would have covered a distance of 350 * D miles

If the total distance is at least 1400, then the inequality is:

[tex]350 * D \geq 1400[/tex]

[The term "At least" is used to represent greater than or equal to]

[tex]350 * D \geq 1400[/tex]

Divide through by 350

[tex]\frac{350 * D}{350} \ge \frac{1400}{350}[/tex]

[tex]D \ge \frac{1400}{350}[/tex]

[tex]D\ge 4[/tex]

This means that the family must travel for at least 4 days.

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