PLEASE HALPPP

Jason left a bin outside in his garden to collect rainwater. He notices that 1/5 gallon of water fills 2/3 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.

(I need sleep and will give brainiest or whatever TvT)​

Answers

Answer 1

Step-by-step explanation:

[tex]\huge\mathfrak\red{Answer}[/tex]

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

If the city bus through Austin travels at 40 miles per hour, how many miles
will it travel in 4.5 hours.

Answers

It will travel 180 miles

4.5 • 40= 180

find the value of a and b if [tex]5+√3/7+2√3=a-b√3[/tex]

Answers

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.

Step-by-step explanation:

There are mistakes in the statement, correct form is presented below:

[tex]5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}[/tex].

By direct comparison we have the following system of equations:

[tex]a = 5[/tex] (1)

[tex]\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}[/tex] (2)

In (2) we solve for [tex]b[/tex]:

[tex]\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}[/tex]

[tex]b = -\frac{15}{7}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.

SOMEONE HELP ME PLEASE

Answers

Answer:

1/4 * 2/3 = 2/12 = 1/6 = .1666 = 16.6%

Step-by-step explanation:

find f(x)•g(x)
f(x) = 3x - 1
g(x) = x^2 + 4

Answers

1. the question is asking you to multiply the two function expressions together

2. so all we do is (3x - 1)(x² + 4) which gives you 3x³ + 12x - x² - 4

The answer in photo
Don't forget put heart ♥️

Express 3x-2/(x-1)(x-2) ​

Answers

Answer:

3x-2/x²-3x+2

Step-by-step explanation:

you have to expand the bottom equations

(x-1)(x-2)

x(x-2)-1(x-2)

x²-2x-x+2

x²-3x+2

now from this you can't divide it into the top equation because not all the terms are like so it's better to bring it down as it is.

3x-2/x²-3x+2

I hope this helps

Find the measures of

Answers

Answer:

Step-by-step explanation:

Measure of an inscribed angle intercepted by an arc is half of the measure of the arc.

From the picture attached,

m(∠A) = [tex]\frac{1}{2}m(\text{arc BD})[/tex]

           = [tex]\frac{1}{2}[m(\text{BC})+m(\text{CD}][/tex]

           = [tex]\frac{1}{2}[55^{\circ}+145^{\circ}][/tex]

           = 100°

m(∠C) = [tex]\frac{1}{2}[(360^{\circ})-m(\text{arc BCD})][/tex]

           = [tex]\frac{1}{2}(360^{\circ}-200^{\circ})[/tex]

           = 80°

m(∠B) + m(∠D) = 180° [ABCD is cyclic quadrilateral]

115° + m(∠D) = 180°

m(∠D) = 65°

m(arc AC) = 2[m(∠D)]

m(arc AB) + m(arc BC) = 2(65°) [Since, m(arc AC) = m(arc AB) + m(arc BC)]

m(arc AB) + 55° = 130°

m(arc AB) = 75°

m(arc ADC) = 2(m∠B)

m(arc AD) + m(arc DC) = 2(115°)

m(arc AD) + 145° = 230°

m(arc AD) = 85°


Find x if AC = 7x - 15 and BD = 4x + 15

Answers

Answer:

x = 10

Step-by-step explanation:

7x - 15 = 4x + 15

7x - 4x = 15 + 15

3x = 30

x = 10

Answer:

x = 10

Step-by-step explanation:

Given that AC and BD are congruent , then

7x - 15 = 4x + 15 ( subtract 4x from both sides )

3x - 15 = 15 ( add 15 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Charlotte needs at least 60 signatures from students in school so that she can run for student government president. She already has 12 signatures. She and her three friends plan to get the remaining signatures during gym.
If each person gets the same number of signatures, which inequality can Charlotte use to determine the minimum number of signatures each person should get so he/she can run for student government president?

Answers

If she already has 12 signatures: 60 - 12 = 48

48/3 = 16

so, she and her friends need at least 16 signatures each.

p being person;

p [tex]\geq[/tex] 16 (p has to be greater or equal than 16)

pls I'll mark u BRAINLIEST
(B−A)∪C=(B∪C)−(A−C)

Answers

Answer:

(I don't have the complement sign of sets, so I've used "©" to denote compliment)

L.H.S.

(B-A)∪C

= (B∩A©)∪C

= (B∪C)∩(A©∪C)

= (B∪C)∩(A-C)©

= (B∪C)-(A-C) = R.H.S.

(Proved)

Solve the triangle. Round your answers to the nearest tenth.
HELP PLEASE !!!!
A. m B.m C.m D.m

Answers

Answer:

Angle A = 42°

Side b (Opposite side of angle B) = 13

Side c (Opposite side of angle C) = 29

Answered by GAUTHMATH

Please answer this!!!!!!

Answers

Answer: 39°

Step-by-step explanation:

Angle of depression must be less than 90° but greater than 0°

Give the equation for a circle with the given center and radius.
Center at (2, -9), radius = 3

A. (x+2)^2+(y−9)^2=9
B. (x+9)^2+(y−2)^2=3
C. (x−9)^2+(y+2)^2=3
D. (x−2)^2+(y+9)^2=9

Answers

Answer:

(x-2)^2 + (y+9)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-2)^2 + (y--9)^2 = 3^2

(x-2)^2 + (y+9)^2 = 9

Answer:

D.) (x−2)2+(y+9)2=9

Step-by-step explanation:

I got it correct on founders edtell

[ANSWER ASAP PLEASE] Which point is a reflection of across the x-axis? A. point A B. point B C. point C D. point D E. point E​

Answers

Answer:

Point C

Step-by-step explanation:

We want to reflect across the x axis

That means the y coordinate changes sign

Z = ( 5 1/2 , 3)

Z' = ( 5 1/2 , -3)

That is point C

Tina's book bag contains 12 fiction books and 4 non-fiction books. What percentage of the
books is non-fiction?

Help! Homework due at 6:30 help ASAP! Thank you!

Answers

25%

Step-by-step explanation:

# of non-fiction books ÷ # of total books = percentage of non-fiction books

4 non-fiction books + 12 fiction books = 16 total books

4 non-fiction books divided by 16 total books = percentage of non-fiction books

4÷16= 0.25

0.25 x 100 = 25%

Answer: 0.48 percent

Step-by-step explanation:

When an object falls freely, the formula for the distance it falls is d= 4.9t^2 where d is
the distance, in metres, and t is time, in seconds.

a) After 5 seconds, how far does an object fall, in metres?

b) How many seconds does it take to fall 490 m?

Answers

Answer:

a) 122.5 m ; b) 10 s

Step-by-step explanation:

Just use the given equation and plug in what you know.

a)

d = 4.9t^2

d = 4.9(5^2)

d = 4.9 * 25

d = 122.5 m

b)

d = 4.9t^2

490 = 4.9t^2

100 = t^2

t = 10 s

Answer:

a) 122.5 meters

b) 10 seconds

Step-by-step explanation:

If the lines 5x + 3my – 2 = 0 and 3x + 7y + 1 = 0 are parallel, then what is the value of m?

(a)9/35

(b)35/9

(c)9/5

(d)5/9

Please give full explanation!!!
ASAP!!​

Answers

Answer:

35/9

Step-by-step explanation:

7y=-3x-1

y=-3/7x-1/7

m=-3/7

Now,

3my=-5x+2

y=-5/3mx+2/3

So

-3/7=-5/3m

-9m=-35

m=35/9

Answer:

35/9

Step-by-step explanation:

What we need to know:

Parallel lines have the same slope

slope intercept form: y = mx + b

m = slope

The first thing we will want to do is put both equations in slope intercept form.

We must do this so we can identify the slope.

First equation:

3x + 7y + 1 = 0

Solve for y

Subtract 1 from both sides

3x + 7y + 1 - 1 = 0 - 1.

3x + 7y = -1

Subtract 3x from both sides

3x - 3x + 7y = -1 - 3x

7y = -3x - 1

Divide both sides by 7

7y/7 = (-3x - 1)/7

y = -3/7x - 1/7

So the equation of the first line is y = -3/7x - 1/7

Second equation:

5x + 3my – 2 = 0

Solve for y

Subtract 5x from both sides

5x - 5x + 3my - 2 = 0 - 5x

3my - 2 = -5x

Add 2 to both sides

3my - 2 + 2 = -5x + 2

3my = -5x + 2

Divide both sides by 3m

3my/3m = (-5x + 2)/3m

y = -5x/3m + 2/3m

So the equation of the second line is y = -5x/3m + 2/3m

So we have the two equations:

y = -3/7x - 1/7 and y = -5x/3m + 2/3m and we want to find the value of m if the two lines are parallel

Lines that are parallel have similar slopes

So the slope of the first equation should be the same as the slope of the second equation

The slope of y = -3/7x - 1/7 is -3/7 as it takes the spot of "m" in y = mx + b.

The slope of y = -5x/3m + 2/3m is -5/3m as it takes the spot of "m"

If the slopes of parallel lines must be similar than -3/7 = -5/3m

(Note that we've just created an equation that we can use to solve for m)

We now solve for m

-3/7 = -5/3m

Cross multiply

3*-3m = -9m

7*-5=-35

we acquire -35 = -9m

Divide both sides by -9

-35/-9 = 35/9

-9m/-9=

We're left with m = 35/9

So we can conclude that the value of m would be 35/9 if the two lines are parallel

Is it True or false ?? Explain .

Answers

Answer:

False

Step-by-step explanation:

The (a+b)^2 = a^2+2ab+b^2 formula isn't in this expression.

Answer:

False

Step-by-step explanation:

(X+y)^2 = x^2 + 2xy + y^2

First you expand and then distribute

The rule is:

(a+b) ^2 = a^2 + 2ab + b^2

Answered by Gauthmath

Determining a Local Maximum and Minimum

Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval __
A local minimum occurs over the interval ___

Answers

Answer:

x=-1x=-3

Step-by-step explanation:

Algebra level

How do you solve this problem?

Answers

Answer: Choice B)  4pi

Explanation:

The square has perimeter P = 16, so each side of the square is P/4 = 16/4 = 4 cm.

This makes side KJ = 4 cm, and this is the diameter of the circle. Multiply the diameter with pi to get the circumference (aka the perimeter of the circle).

Therefore, the perimeter is pi*d = pi*4 = 4pi which points us to choice B

) If a 480 pupils in a school are boys representing 80% of the school's enrolment . Find the total number of pupils in the school

Answers

Answer:

Total student= 600

Step-by-step explanation:

Let x be the number of students

[tex]x \times \frac{80}{100} = 480 \\ = 480 \times \frac{10}{8} \\ x = 600[/tex]

Brainliest please~

Answer:600

Step-by-step explanation:

by taking total number of pupils x

80/100×x=480

48000/80=600

x=600

if the rate store is constant which statement correctly compares the cost of a package 20 cd's

Answers

Answer:

rufvkslvUtepgsohch. h,kh jblfc.

How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer

Answers

Answer:

43,200 minutes in 1months or 30 days

There are 43200 minutes in one month.

What is multiplication?

The basic explanation of multiplication is adding a number, with respect to another number, repeatedly.

Given that, How many minutes are in a 30-day month,

We have, 60 minutes in 1 hour

And, 24 hours in 1 day,

Then, number of minutes in 1 day = 60 × 24 = 1440 minutes

Therefore, in 1 month = 1440 × 30 = 43200 minutes

Hence, there are 43200 minutes in one month.

Learn more about multiplication, click;

https://brainly.com/question/5992872

#SPJ2

A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate
1.the coordinate of M and N
2./AB/, correct to one decimal place
3.The eqation PQ​
I need answers urgently.
pls

Answers

Could you show us a picture of the question

Calculate the value of 3√216
by using prime

factors

Answers

Answer:  43,2

Step-by-step explanation:

[tex]\bf 3\sqrt{216 }=3\cdot 6\sqrt{6}=18\sqrt{6} \approx43.2 \\\\ \sqrt{216} =\sqrt{ 2^{3}\cdot 3^3}=\sqrt{2^2\cdot 3^2\cdot 3\cdot 2}=3\cdot 2\sqrt{3\cdot 2} =6\sqrt{6}[/tex]

can i get some help please

Answers

Hi there!

[tex]\large\boxed{102^o}[/tex]

Using the triangle exterior angle theorem, we know that:

∠4 = the other two angles of the triangle combined (both are given)

Thus:

∠4 = 51 + 51 = 102°

Angle 4 is an outside angle.

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

The two opposite inside angles to angle 4 are shown as 51 and 51

Angle 4 = 51 + 51

Angle 4 = 102 degrees.

Attempt 1 of
For the following system, use the second equation to make a substitution for y in the first equation.
3x + y = 1
y+4= 5x
What is the resulting equation?
3x + 5x + 4 = 1
3x + 4 - 5x=1
3x + 5x - 4 = 1
NEXT QUESTION
TURN ITIN
ASK FOR HELP
https://cabarruscsd.owschools.com/owsoo/student Assignment/index?eh-795134676
ka
O

Answers

Answer:

3x + 5x - 4 = 1

Step-by-step explanation:

rewrite equations (i'm using the substitution method)

3x + y = 1

y = 5x − 4

plug in the second equation into the first

3x + (5x − 4) = 1

Which term describes the red curve in the figure bellow?

Answers

Answer:

Letter B. Hyperbole is your answer

Can someone please help me with my maths question​

Answers

Answer:

a) log 2 (48 ×3 ×9 )

log 2 1296

10.3

b) log 4 24 - log 4 3/4 log 4 2

log 4 36

2.58

write down the first 3 term of each sequence described by the sequence with first term 8 and difference -7​

Answers

Answer:

8,1,-6

Step-by-step explanation:

8 + (-7)

= 8-7 = 1

1 + (-7) = 1 - 7 = -6

The first three terms are 8, 1,-6

Answered by Gauthmath

Can someone plz help me ?

Answers

The O represents opposite
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