Two barrels contain equal quantities of honey. From one barrel, 37 gallons of honey are drawn. From the other barrel, 7 gallons of honey are drawn. The quantity remaining in one barrel is now seven times that remaining in the other barrel. How much did each barrel contain at first?

Answers

Answer 1

At the start, each barrel has the same amount of honey, so:

Barrel 1 has X gallons

Barrel 2 has X gallons.

from 1, they extract 37 gallos, and from 2 they extract 7 gallons, so now:

Barrel 1 has X - 37

Barrel 2 has X- 7

and now, the quantity in the Barrel 2 is seven times the quantity in the barrel 1, so:

X- 7 = 7*(X - 37)

we need to find X.

X - 7 = 7*X - 37*7 = 7*X - 259

X - 7*X = 7 - 259

-6*X = -252

X = 252/6 = 42

So at the start, each barrel has 42 gallons of honey.


Related Questions

From 10:00 am to noon, the rise in temperature is 4 degrees C, and from 3:00 pm to 5:00 pm, the fall in temperature is 6 degrees C. What is the average rate of: a) The rise in temperature per hour? b) The fall in temperature per hour?

Answers

Answer:

(a) 2 degree celsius per hour

(b) 3 degree celsius per hour.

Step-by-step explanation:

From the question,

(a) Avearge rate of rise in temperature per hour(T') = Rise in temperature(T)/Time required for the rise(t).

T' = T/t.................... Euqation 1

Rise in temperature (T) = 4 degree celsius, t = 10.00 am to noon = 2 hours.

Substitute into equation 1

T' = 4/2

T' = 2 degree celsius per hour.

(b) Also,

Average rate of fall in temperature per hour (T') = Fall in temperature (T)/Time(t)

T' = T/t

Given: T = 6 degree celsius, t = 3:00 pm to 5:00 pm = 2 hours

T' = 6/2

T' = 3 degree celsius per hour

There is a bag filled with 3 blue and 4 red marbles a marble is taken at random from the bag the colour is noted and then it's replaced another marble is taken at random what is the probability of getting at least 1 red?

Answers

Answer:

A marble is taken at random from the bag, the colour is noted and then it is not replaced.

I need help quickly and fast

Answers

i might be wrong about this one

Answer:

The answer would be 24

find the measure of angle b87?? please help:)

Answers

Angle b = 87 (vertically opposite angles)

Answer:

<b = 87

Step-by-step explanation:

<b = 87 because of vertical angle thm

Find

B

C

BCB, C.

Round to the nearest tenth.



6

0



60




9

9

7

7

A

A

B

B

C

C


Show Calculator

Answers

Answer:

60 to nearest 10th is 60.

Step-by-step explanation:

i hope that is right if it is can b e marked brainest?

Find the value of x .

Answers

Answer:

x = 73

Step-by-step explanation:

The sum of both angles is 158

85+x = 158

Subtract 85 from each side

85+x-85 = 158-85

x = 73

Answer:

65

Step-by-step explanation:

150 - 85=65

write as y=mx+b
passes through (-3,7) with a slope of [tex]\frac{3}{2}[/tex]
passes through (7,0) and 0,-5)

Answers

Answer:

yrheyetegegetehegehehdhdbdhehehehrhrhthrjfucchffjjd ftfju

If you have 3/8 of one pie, what does the denominator tell you

Answers

Ans: that there are 8 pieces total

EXPLANATION:

Since this scenarios fraction is a part to whole relationship, ( 3 out of 8 pieces).

That means the numerator(top number)
is the part

And the denominator(bottom number)
is the whole.

So the denominator tells us how many pieces there are total

Answer:

there are 8 pieces total

If Sam bakes cookies at a rate of 35 per hour, at a constant rate, how many cookies can she bake in 12 hours?

Answers

Answer:

420

Step-by-step explanation:

(Have a great day)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1!!!

f(x) = x2. What is g(x)?

Answers

Answer:

Answer: g(x)=. Step-by-step explanation: We are given that: f(x)=x². We have to find g(x). Since, we are given that g(3)=1. Hence, we will ...  ·  g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4

Step-by-step explanation:

People use water to cook, clean, and drink every day. An estimate of 15.5% of the water used each
day is for cooking. If a family uses 68.2 gallons of water a day for cooking, how many gallons do they use every day?

Answers

Answer:

260 gallons

Step-by-step explanation:

An estimate of 26.5​% of the water used each day is for cleaning and a family uses 68.9 gallons of water a day for cleaning​,

Percentage of water used for cleaning= 26.5%

Gallons of water used for cleaning= 68.9

Let the number of gallons used everyday be represented by g. This will give:

26.5% of g = 68.9

26.5/100 × g = 68.9

0.265 × g = 68.9

0.265g = 68.9

Divide both side by 0.265

0.265g/0.265 = 68.9/0.265

g= 260

260 gallons of water are used everyday

Chris tosses two number cubes labeled 1 to 6. What is the probability of rolling
double 4s?

Answers

Answer:

1/36

Step-by-step explananation:

The probability of rolling a 4 on one cube is 1/6.  Any following throws are completely independent, so if we want the probability of rolling

double 4s, we multiply 1/6 by 1/6, obtaining 1/36.

The probability of rolling  double 4s is 1/36.

Cindy bakes 7 cookies, which is 20% of the total amount of cookies. How many total cookies are there in all?

Answers

Answer:

35

Step-by-step explanation:

OMG PLEASE HELP AHHH LIKE PLEASE HELP

Answers

Answer:

the ratio used was 1:19

Step-by-step explanation:

let a be the action figure version

let r be the real iron man

let's list out the important things.

a = 4''

r = 6'4''

one foot has 12 inches

convert r into inches:

6 × 12 = 72           (6 feet in r)

       r = 76''          (72 + 4)

r = 76''

a = 4''

ratio is 4:76

simplify

4:76

2:38

1:19

the ratio they used is 1:19

good luck,

-cheesetoasty

look at the expression below
6x
which value for x will make the value of the expression greater than 6?
A 4/3
B 2/3
C 1/3
D 3/3

Answers

Answer:

4/3

Step-by-step explanation:

6 times 4/3 is 8 which is greater than 6

Answer:

A

Step-by-step explanation:

4/3 ×6=8

8 is greater than 6.

Please help- will give brainlist. I would appreciate if you told me how you got the answer but you don’t have to

Answers

Answer:

66

Step-by-step explanation:

18+15+18+15

Answer: The answer is 66 18+15+18+15.

The ________ makes geometry easier to understand from a description of their properties and provides the foundation from which geometry is built.

Answers

Answer:

The make geometry easier to understand from a description of their properties and they provide the foundation from which geometry is built. provide clear meaning by identifying classifications and specific characteristics of those figure, process or idea that need to be distinguished and defined.

There are a lot of works in math. The undefined terms makes geometry easier to understand from a description of their properties and provides the foundation from which geometry is built.

What is a geometry axiom?

Axioms are known to be statements made about a set of  real numbers. Note that real numbers are a vital part of geometry when it comes to taking figures, axioms are very important.

Geometric Mathematical Structures  is known to be a Greek words “geo” that connote  “earth” and “metria” meaning “measurement”.

Learn more about geometry from

https://brainly.com/question/24375372

Determine the common ratio and find the next three terms of the geometric sequence. 8, -20, 50, ... a. -2.5; -125, 312.5, -781.25 c. 2.5; -125, 312.5, -781.25 b. -2.5; -70, 240.6, -642.85 d. 2.5; -70, 240.6, -642.85

Answers

Answer:

The common ratio is -2.5

The next three terms are;

-125, 312.5 and -781.25

Step-by-step explanation:

Here, firstly we want to determine the common ratio

To

do this, we have to divide the succeeding term by the preceding term

We have this as;

50/-20 = -20/8 = -2.5

Now, to get the next terms,

we multiply the given last term by the common ratio

That will be;

50 * -2.5 = -125

next is to multiply this by the common ratio

That will be;

-125 * -2.5 = 312.5

And lastly, we have

312.5 * -2.5 = -781.25

Answer:

The Answer Is A.

Step-by-step explanation:

Suppose you invest $8,600 into a savings account with a 7.25% annual interest rate
that compounds interest weekly. Use the TVM solver on your calculator to find the future
value of the account after nine years,

Answers

Answer:

16,507.38

Step-by-step explanation:

The equation for this would be 8600(1 + 0725/52)^52*9

9 is the years, 52 is the compounded weekly, and 8600 is the initial amount.

Solving the equation, we get:

16,507.38

Lightning strikes the earth more than 60 times per second. How many times would it strike in 3 minutes 15 seconds

Answers

Answer: 11,700 times

Step-by-step explanation:

First find the number of seconds in 3 minutes 15 seconds.

Each minute is 60 seconds so 3 minutes would be:

= 3 * 60

= 180

Add the 15:

= 195 seconds

Lightning strikes more than 60 times per second so we shall use 60 times

= 60 * 195

= 11,700 times

please show your work

Answers

Answer:

m(h+p) - p÷h + m

h = -1, m = 3, and p = 4

3(-1+4) - 4÷(-1) + 3

= 3(3) - (-4) + 3

= 9 + 4 + 3

= 16

D. 16

Answer:

3(-1+4)-4/-1+3

-3+12+4+3

12+4

16

Find the value of AB.

Answers

Answer:

AB = 24

Step-by-step explanation:

AB = EB x 2 = 24

Answer:

AB equals 24.

Step-by-step explanation:

Fill in the blank would be 24

Which function is best represented by this graph?
2
4
A.
y =
= {x-4
C. y = 3x +4
Need H
B.
y= kx +4
D.y=- £x +4

Answers

Answer:

answer is B

Step-by-step explanation:

hope it helped!!!

A plant is already 44 centimeterstall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after m months is given by the
following function
What is the plant's height after 23 months?

Answers

Answer:

67 centimetres

Step-by-step explanation:

44+23=67

44cm= already

1cm= every month

In ΔQRS, q = 960 cm, r = 420 cm and ∠S=31°. Find the area of ΔQRS, to the nearest square centimeter.

Answers

Answer: 103832

Step-by-step explanation:

PLEASE HELP I NEED TO TURN THIS IN TODAY!!!!!!!!!

Answers

Answer:

ez

Step-by-step explanation:

and dont give brainliest

lel

HELPPP MEE QUICK PLEASEE I NEED IT NOWW :’) NO LINKS NO BOTS I WILL REPORT !! Which of the following are point-slope equations of the line going through
(-3,-5) and (2,4)? Check all that apply.

Answers

I think its options b c and e

Please answer this ( 8th grade math )

Answers

It is C because
31-71=102
And then 180=triangle
180-102=78

Answer:

The correct answer is C

Step-by-step explanation:

Helpful fact- All triangles are 180 degrees

Angle 1 = 31 degrees

Angle 2= 71 degrees

X= Angle 3

Y = Angle 1&2 Sum

So by adding Angles 1 & 2 we get a sum  to subtract from 180 and get a difference. That difference will be Angle 3.

Angle 1 + Angle 2 = Y

180 - Y= X

31 + 71 = 102 degrees   Y= 102 degrees

180 - 102 = 78 degrees  X= 78 degrees

PLS GIVE BRAINLIST IF HELPFUL

HELP PLEASE 10 POINTS

Answers

Since it is not being dilated, the answer would be 3. Hope this helps:)

Which technique(s) are appropriate to completely factor the
expression?
A)
Factor as a difference of squares.
B)
Factor out the greatest common factor.
C)
Factor out the greatest common factor; then factor
the difference of squares.
D)
Factor out the greatest common factor; then factor
the perfect square trinomial

Answers

Answer: C

Step-by-step explanation:

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