Jason left a bin outside in his garden to collect rainwater. He notices that 1 over 5 gallon of water fills 2 over 3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

Answers

Answer 1

Answer:

We can set this up as a proportion

(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply

1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons fills the entire bin

Look at it this way......each 1/10 of a gallon fills 1/3 of the bin......so 3(1/10) gallons fills 3(1/3)bins....or

3/10 galons fills a whole bin....


Related Questions

Sean's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 18 coffees in all, 9 of which were regular. What percentage of the coffees were regular?

Answers

Answer:

50% of the regular coffee's were regular

50%
Explanation:
multiply 9 • 100
the divide 900 into 18
it should give you 50

Point B (-5, 5) is reflected over the x-axis. Where is B'?

Answers

Answer:

(-5, -5)

Step-by-step explanation:

Answer: (-5,-5)
If it is over the x axis it will be negative

HELLLLLLP RNNN PLSSSSSSSSSSSS

Answers

Answer:

D

Step-by-step explanation:

5/6 times 13 is 10 5/6. No

4 times 13 is 52. Yes

3/4 times 13 is 9 3/4. No

10/10 times 13 is 13. Yes

The expressions greater or equal to 13 are B and D.

What is an expression?

An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.

Given are expressions we need to determine expressions having values equal to or greater than 13,

So,

5/6 and 3/4 are numbers less than 1 if we multiply any number with them it will decrease its value,

So, the expression 4 x 13 and 10/10 x 13 will be the expressions having values equal to or greater than 13.

Hence the expressions greater or equal to 13 are B and D.

Learn more about expression click;

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4x + 60 + 5x = 100
What is x?

Answers

Answer:

50 pointssssssssssssssssssssss

Answer:

x = 40/9

Step-by-step explanation:

4x + 60 + 5x = 100

=> 60 + 9x = 100

=> 9x = 40

=> x = 40/9

Hoped this helped.

help me please and thanks

Answers

Answer:

two

Step-by-step explanation:

on edge

Answer: 2
Step by step explanation:

There are 4 quarts in a gallon and 4 cups in a quart. How many cups are in one serving?


Show and explain your work/answer

Answers

Answer: 16 cups

one serving is a gallon.

4c = 1q

8c = 2q

12c = 3q

16c = 4q

-ㄚㄩ尺丨

help look at pic pls

Answers

Answer:

A) -68

Step-by-step explanation:

Nuha is 5 years older than her brother Cole. The sum of their ages is 37. How old is Nuha?

Answers

Cole age = x

Nuha age = x+5

 

x+x+5 =37

 

2x +5 =37

 

2x =32

 

x =16

 

Cole age = x  = 16 yrs

Nuha age = x+5 =16+5 =21 yrs

So, she is 21!

Answer:

Nuha is 16

Step-by-step explanation:

x+x+5 =37

2x +5 =37

2x =32

x =16

Select the locations on the number line to plot the points 8/3 and −11/3.

Answers

Answer:

put 8/3 a little bit below the dash that shows the number 3 and put -11/3 a little bit ahead of the -4 mark

Step-by-step explanation:

The Answer is where the green arrows are.

The height of a free falling object is represented by the expression -16t2 + v02 + h0 where v o is the initial velocity of 80 feet per second. And h o is the initial height of 25 feet what is the height of the object at t = 2 seconds ( pls no fake answers )

Answers

Answer:

The height of the object after 3 seconds is 45 feets.

Step-by-step explanation:

The height of an object thrown into the air with an initial upward velocity of 63 feet per second is given as

Where, h(t) is height of the object in feet and t is the time in seconds.

We have to find the height of the object after 3 seconds. So, substitute t=3.

Therefore height of the object after 3 seconds is 45 feets.

Answer: 45 feet

Explain: don’t really have one I do math in my head so I just knew

Simplify:

-30x^9/10x^17

Answers

Answer:

-3/x^8

Step-by-step explanation:

First, we simplify -30/10 which will be -3.

Next, we simplify x^9/x^17 which will be x^-8, since when dividing exponents, you subtract them. Sorry if this sounds confusing, but if this helps you better understand it, then here you go: I mean that y^n/y^z = y^(n-z).

x^-8 = 1/(x^8), and to find our answer, we multiply this by -3 to get an answer of:

-3/x^8

Simplify:

(2/d^2)^3

Please help :)

Answers

Changes made to your input should not affect the solution:

(1): "d2" was replaced by "d^2".

STEP
1
:
Equation at the end of step 1

(2d2 - 3d) - 2
STEP
2
:
Trying to factor by splitting the middle term

2.1 Factoring 2d2-3d-2

The first term is, 2d2 its coefficient is 2 .
The middle term is, -3d its coefficient is -3 .
The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
2d2 - 4d + 1d - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
2d • (d-2)
Add up the last 2 terms, pulling out common factors :
1 • (d-2)
Step-5 : Add up the four terms of step 4 :
(2d+1) • (d-2)
Which is the desired factorization

Final result :
(d - 2) • (2d + 1)
I searched it up :)
Your welcome

What is the y-intercept y = -6x - 5


1. (0, -5)


2. (5, 0)


3. (0, 5)


4. (-5, 0)

Answers

Answer:

(0,-5)

Step-by-step explanation:

Hope this helps :)

Hello. The y-intercept is (0,-5).

Diego measured the number of cups of water in 15 bottles of various sizes. He made this line plot to show how many of each size he has. Diego then took all the bottles of the most common size and poured the water into one container. How much water is in the container? (Line plot in image)

Answers

I got you!
Answer is 8 3/4 I got this one right
8 3/4 and that the answer

What is the y-intercept of a line that has a Slope of 3 and passes through point (-1, -7)

Answers;
A. -10
B. -4
C. 3
D. 7

Answers

Answer:

B)-4

Step-by-step explanation:

y=mx+c

sub in a point and gradient/slope to get c

-7=3(-1)+c

-7=-3+c

-7+3=c

c=-4

y=3x-4

if u looking for the y intercept make x=0

y=3(0)-4

y=-4

C is the answer because of the fact that they are doing a lot

I promise I will give you a crown if you do it right.
Q. Arrange the following integers in ascending order.
a. 3902, -3923, -3454, -3345, 3623, -3212.
b. 1005, -1090, -1420, -1230, 1302.
c. -100, -110, -99, 99, 101, 110.
d. 9990, 9011, 9909, -9099, -9990, 9099.

Answers

Answer:

A) -3923, -3454, -3345, -3212, 3623 and 3902.

B) -1420, -1230, -1090, 1005 and 1302.

C) -110, -100, -99, 99, 101 and 110

D) -9990, -9099, 9011, 9099, 9909, 9990

Step-by-step explanation:

Write the coordinates of two points that are the given distance from these points and horizontal/vertical:
6. 5 units from (–1, –2) ( , –2) and ( , –2) _______________________
7. 8 units from ( 2 , 4 ) ( 2 , ) and ( 2 , ) _______________________
8. 3 units from (–7, –5) (–7, ) and (–7, ) _______________________
9. 6 units from ( 4, –1) ( 4 , ) and ( 4 , ) _______________________
10. 10 units from (–1, 9) ( , 9 ) and ( , 9 ) ______________________
11. 7 units from (–3 , 2) ( , 2 ) and ( , 2 ) ____________________________

Answers

Answer:

7 units from (-3,2)(,2)and(,2)

Step-by-step explanation:

The purpose of this task is for students to solve a mathematical problem using points in the coordinate plane. This task also helps lay the foundation for understanding operations on signed numbers without formally introducing those notions, which are not expected until 7th grade (see 7.NS.1). Students will not have the full machinery needed to find distances between two arbitrary points in the plane until they have studied the Pythagorean Theorem in 8th grade. However, it is straightforward for them to find horizontal and vertical distances, which mirrors how one might represent sums and differences of signed numbers on a number line. The solution for the first part shows how these questions can be represented using absolute values (as described in standard 6.NS.C.8), although students are unlikely to make this connection without being asked to do so. If students are asked to solve this problem on their own first, it could be used to launch a discussion of the relationship between the the absolute value of coordinates of points in the plane and their distance to the respective axes.

Please note that students will have to assume that the points have integer coordinates, which is reasonable but worth mentioning.

Solution

The distance between points B and C is 5 units, as indicated below.

We can determine the distance between points B and C by counting the units between the two points since they are on the same vertical line which happens to be a grid line.

We can also note that the coordinates for B are (3,2) and so it is |2| units above the x-axis. Similarly, the coordinates for C are (3,−3), so it is |-3| units below the x-axis. Thus, the distance between B and C is

|2|+|−3|=5

units.

The distance between points D and B is 7 units, as indicated below.

The distance between points D and E is 4 units, as indicated below.

Point C is the only one of points A,…E that is both 4 units away from (−1,−3) and 2 units away from (3,−1). There is another point that satisfies these two criteria (which is the other intersection point of the circle of radius 4 and circle of radius 2 shown below), but it does not have integer coordinates and is not one of the points identified in the task

HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLS
The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a lake is −5.6 feet. This level is 1/2 times 1.7 feet more than the previous water level. What was the previous water level? Drag and drop a value to the box to correctly complete the statement.

choices:
-1.1
-4.5
-9.5
-12.9

Answers

Answer:

-4.5 :):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):):)

The previous water level of a lake will be negative 1.1 feet. Then the correct option is A.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

A water level is a number that demonstrates whether the level is above or below typical utilizing positive or negative qualities. After a weighty tempest, the water level of a lake is −5.6 feet. This level is 1/2 times 1.7 feet more than the past water level.

Then the expression is given as,

⇒ −5.6 / 2 + 1.7

Simplify the equation, then we have

⇒ −5.6 / 2 + 1.7

⇒ −2.8 + 1.7

⇒ −1.1

The past water level of a lake will be negative 1.1 feet. Then the right choice is A.

More about the Algebra link is given below.

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pls help me it due today

Answers

Answer:

[tex]3t - 8 = -5t\\\\6w / x + 9 = 6w / 9x\\ t^2 - 12w / x = t^2 - 12w\\5x - 2w + t = 5x - 2wt\\\\824 / 4 = 206\\360 / 9 - 22 = 16\\16.8 - 2.4 = 14.4\\9.85 * 4 = 39.4\\\frac{2}{3} / 12 = 0.055\\3 + 4 - 3 = 4[/tex]

Step-by-step explanation:

hope this helps.

Zani'yah wants to buy new shoes. The shoes cost $150 but are on sale for 10% off. How much will Zani'yah spend after the discount?

Answers

Answer:

135 Dollars

Step-by-step explanation:

Answer

$135

Step-by-step explanation:

10% of 150 is 15

150-15=135

$135

Which expression is equivalent to (x+3)+y?
A: x+(3+y)
B: x(3+y)
C: (x+3)+(x+y)
D: (x+3)+(3+y)

Answers

Answer:

b

Step-by-step explanation:

i dont know. i think rhis is my guess. just tell me the answer

It’s A
x+(3+y) i dont know I just guessed

please help me thank you

Answers

Answer:

90

Step-by-step explanation:

Multiply length times w times height

Also hi again

[tex]\huge \bf༆ Answer ༄[/tex]

Total surface Area of a cuboid is ~

[tex] \boxed{ \sf{2(lb + bh + lh)}}[/tex]

So, let's solve ~

[tex]2[(3 \times 5) +( 5 \times 6) + (6 \times 3)][/tex]

[tex] \sf2(15 + 30 + 18)[/tex]

[tex] \sf2 \times (63)[/tex]

[tex] \sf126 \: \: {ft}^{2} [/tex]

what is the constant of proportionality for this graph ​

Answers

Answer:

10:20

Step-by-step explanation:

The constant of proportionality for this graph is 10:20

(PLEASE HELP, BRAINLIEST IF CORRECT)

Answers

Answer:

Dylan's speed 30

Mike's 20

Step-by-step explanation:

hope this helps you!

Answer: Mikes is 20

Explanation just add 10 to how may times they went around the whole pool

what is 5\7 divided by 3\4=
wright the answer and show work.
thank you.

Answers

20/21 (WORK AND EXPLANATION PROVIDED)
the answer would be 20/21

you’d start off by multiplying the fractions but switch the 3/4 into 4/3
5 4
— x —
7 3

then multiply 5 x 4 = 20
and then multiply 7 x 3 = 21

which would be 20/21

Write a unit rate for the situation.

$12.50 for 5 ounces

$\$$
per ounce

Answers

It’s is 2.5 I have explained it as a picture

The camp has an elevation of 2700m. It is 1500m east of the origin. What are the camp's x and y coordinates?

Please help!! will give brainliest. Will be helpful

Answers

(1500,2700) hope this helps

what is 9/14 x 2 1/3!!!!

Answers

The answer is 11
Explaination:
9/14 multiple both numbers by 3=27/42
Break 2 1/3 into 2 and 1/3
1/3 multiple both numbers but 14=14/42
27/42 x 14/42 keep number on the bottom the same
27x14= 378
Divide 378/42=9
Add the 2 from 2 1/3 to the nine
2+9=11
1 1/2 is the answer I’m not sure what else to say but I have to have a limit

help look at the pic

Answers

Answer:

59

Step-by-step explanation:

i used a calculator

D

Answer:

D

Step-by-step explanation:

negative divide negative will be positive

What is 43434 x 21387128930523122222 and the first person to answer will get a brainliest from me!!!!!!!!!!!!!1

Answers

Answer:

9.2892856e+23

Step-by-step explanation:

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