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

Help me please I’ll give extra points

Answers

THE NEW COODINATES
U( -4,-6)
Now( 6,-4)
S( -8,-10)
Now (10,-8)
T(-3,-10)
Now(10,-3)

If a van traveled 175 miles in 5 hours, how far could the van travel in 8 hours?

Answers

280 because if you divide 175 by 5 you get 35 which is the amount of miles the van travels in 1 hour and then you multiple 35 by 8 and you have your answer 280

Can someone please help with my math real quick?

Answers

Answer:

5.0003 x 10^-5

I believe this is the answer!

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive. Hope this helps!

Substitute t = 3 and t = 6 to determine if the two expressions are equivalent.

3 (2 t + 5) 6 t + 15

Which statements are true? Select the three correct answers.
A. The value of both expressions when t = 3 is 33.
B. The value of both expressions when t = 3 is 23.
C. The value of both expressions when t = 6 is 41.
D. The value of both expressions when t = 6 is 51.
E. The two expressions are equivalent.
F. The two expressions are not equivalent.

Answers

Answer:

A.The value of both expressions when t=3 is 33.

D.The value of both expressions when t=6 is 51.

E.The two expressions are equivalent.

Step-by-step explanation:

We are given two expressions.

3(2t + 5)

6t + 15

Now let's find the value of these two expressions when t =3 and t = 6

When t =3, the value of the expressions:

3(2*3 + 5) = 3(6 + 5) = 3(11) = 33

6*3 + 15 = 18 + 15 = 33

So the value of both the expressions is 33 when t = 33.

When t = 6, the value of the expressions:

3(2*6 + 5) = 3(12 + 5) = 3(17) = 51

6*6 + 15 = 36 + 15 = 51

The value of both the expressions is 51 when t = 51.

So the following statements are true:

A.The value of both expressions when t=3 is 33.

D.The value of both expressions when t=6 is 51.

E.The two expressions are equivalent.

The display below shows the number of home runs hit by six of the players on the Cardinals baseball team.
Cardinals Home Runs
Home Runs Hit
Player
Andrew
Braden
Chester
Dylan
Evan
Freddy
Legend:
represents 4 home runs
Plzzz hurry

Answers

Answer:

8

Step-by-step explanation:

If each baseball= 4 homeruns, and Chester has 5 baseballs next to his name (20 homeruns), then Evan hit 12 home runs because 4*3= 12 and he has 3 baseballs next to his name.

20-12=8

PLS HELP, DUE TODAY

What does the value of the mean absolute deviation tell you about the spread of the data?

Answers

Answer:

So there you go- oh can't make a HERO out of a SHOTOOOOOOOO

Explanation:

I NEED HELP WITH B PLEASE!! WILL GIVE BRAINLY

Answers

Answer:

AB = 30 & BD = 16

Step-by-step explanation:

Multiply all sides by two

PLSSS HELP MEEEE OH NOOOOOOO

Answers

it’s the 3rd option bc it’s increasing

Graph the
equation.
y = 3x+4

Answers

Answer:

Plot the following points:

(-2,-2)

(-1,1)

(0,4)

(1,7)

(2,10)

Step-by-step explanation:

Just plug any random number in for x to solve for y.

The following data points represent the number of chicken nuggets on each family member's plate.
1,3,0, 6, ?
If the mean of the data set is 3 chicken nuggets, find the missing number of chicken nuggets.
nuggets

Answers

Answer:

The missing number of chicken nuggets is 5.

Step-by-step explanation:

To find the mean of this data set, we must add every number together, then divide the sum by how many numbers are present.

Like this,

1 + 3 + 0 + 6 = 10

10 / 4 = 2.5

There are 4 present numbers in this data set, and one is missing.

Since the only number divided by 5 that would give you a quotient of 3 is 15, the missing number is 5.

Because,

1 + 3 + 0 + 6 + 5 = 15

15 / 5 = 3

Therefore, 5 is the missing number of the data set.

The answer of the missing chicken nuggets is 5

Solve for x ????????????

Answers

Answer:

x = 8°

Step-by-step explanation:

since the angles are vertical angles, they are equal

3 + 14x = 115

14x = 112

x = 8

How can i calculate the high of a triangle of 14cm each side??

Answers

By drawing the height and then use Pythagorean theorem to find height...

7^2+ height ^2=14


Hope it helps!

A 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.

Answers

Answer:

27.89feet

Step-by-step explanation:

Given the following

Length of the ladder = 32foot = hypotenuse

Angle of elevation = 29.37°

Required

Distance of the building from the base of the ladder (adjacent)

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos 29.37° = d/32

d = 32cos29.37°

d = 32(0.8715)

d = 27.89 feet

Hence the required distance is 27.89feet

Answer:

27.89 feet

Step-by-step explanation:

Hope this helps :)

giving 25 points + brainliest if its correct

pic is attached
no links or fake answers pls

Answers

Answer:

Step-by-step explanation:

1 : 2 = 3 : 6

6 parts vinegar

Social Studies is 90

Language Arts is 94

Social Studies : Language Arts

4.5 × 50 = 225 miles

3. (5 points) A company wishes to estimate the mean monthly electric bill. If the standard

deviation is $400, how large a sample is required to estimate the mean electric bill to within $100

with 98% confidence?

Answers

Answer:

9.304

Step-by-step explanation:

company wishes to estimate the mean monthly electric bill. If the standard

deviation is $400, how large a sample is required to estimate the mean electric bill to within $100

with 98% confidence?

Sample size, n = (Zcritical * σ) ÷ ME

σ = standard deviation ;

ME ≥ margin of error

α = 98% ; At 98% confidence level ;Zcritical = 2.326

n ≥ (2.326 * 400) / 100

n ≥ 930.4 / 100

n ≥ 9.304

n = 10

Rachel's car has a 12 gallon gas tank and
she uses about 0.5 gallons per day driving to
school. Write an equation describing the
number of gallons of gas, g, Rachel has in
her car and the number of days, d, she has
driven to school.


please help meeee

Answers

Answer:

g=dx

Or, if you'r wanting the solved equation..

12 = 0.5 x 24

Step-by-step explanation:

If she has 12 gallons in her tank and you look at what it's asking us to do, "..number of gallons of gas, g" pairs up with the 12 gallons while the 0.5 gallons used per day pairs with "...the number of days, d, she has driven to school."

Hope this helped!

Two magnets will attract one another if

Answers

Answer:

the rule to remember is that opposites attract. every magnet has both a north and a South pole. when you place the North Pole of one magnet near the South Pole of another magnet, they are attracted to one another.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!

Answer:

The magnets have different poles facing each other ( N/S > < S/N )

HELP
8.
Which ordered pair is the solution of the following
system of equations?
3x + 2y = 4
–2x + 2y = 24
A. (2, -1)
B. (2,-5)
C. (-4,8)
D. (-4,-8)

Answers

Answer:

C

Step-by-step explanation:

Given the 2 equations

3x + 2y = 4 → (1)

- 2x + 2y = 24 → (2)

Multiplying (2) by - 1 and adding to (1) will eliminate the y- term

2x - 2y = - 24 → (3)

Add (1) and (3) term by term to eliminate y

5x + 0 = - 20

5x = - 20 ( divide both sides by 5 )

x = - 4

Substitute x = - 4 into either of the 2 equations and solve for y

Substituting into (1)

3(- 4) + 2y = 4

- 12 + 2y = 4 ( add 12 to both sides )

2y = 16 ( divide both sides by 2 )

y = 8

solution is (- 4, 8 ) → C

PLZZ HELP EVERYTHING IS IN THE PICTURE!

Answers

A

Plz give brainliest

The mean is 80, the standard deviation is 5. What number is 2.5 standard deviations above the mean? It is a normal distribtion.

Answers

Answer:

So the final answers would be (90 > z)-P(80<z) = .47725 or 47.725%

Step-by-step explanation:

7. A boy on ice skates has a momentum of 200 kg m/s to the left at a velocity of 20

m/s. How fast is the boy going?

Answers

Answer: 10 m/s

Step-by-step explanation:

Given

Momentum of boy [tex]P=200\ kg.m/s[/tex]

Mass of boy is [tex]m=20\ kg[/tex]

Momentum is the product of mass and velocity

[tex]P=mv[/tex]

Substitute value

[tex]\Rightarrow 200=20\times v\\\Rightarrow v=10\ m/s[/tex]

Thus, the boy is moving with a velocity of 10 m/s

A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (–4, 0) and (6, 0). The y-intercept of the first parabola is (0, –12). The y-intercept of the second parabola is (0, –24). What is the positive difference between the a values for the two functions that describe the parabolas? Write your answer as a decimal rounded to the nearest tenth.

Answers

Answer:

.5

Step-by-step explanation:

Edge 2021

Answer:

It is indeed 0.5

Step-by-step explanation:

If you have this on edge, then it is correct.

2.

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]

applying the law of sines to find the unknown sides:

[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]

[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]

so,

[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]

Ms. Wilmeth bought 4 bags of candies. Each bag contained 8 candies. She put an equal number of these candies into each of 9 gift boxes.

How many candies were left over?

ASAP PLEASASEE

Answers

Answer:

5

Step-by-step explanation:

Please help!!!!!!!!!!!!!!!

Answers

Answer:

4 if not im SUPER sorry!!!!!!!!

Step-by-step explanation:

Which number below is irrational?
A. 3 √ 8
B. 3√ 125
C. √ 49
D. √ 52

Answers

Answer:

D. √ 52 = 2 * √ 13 irrational

Step-by-step explanation:

A. 3 √ 8 = 2 rational

B. 3√ 125 = 5 rational

C. √ 49 = 7 rational  

D. √ 52 = 2 * √ 13 irrational

Answer:

The irrational number is [tex]\sqrt{52}[/tex].

Step-by-step explanation:

An irrational number is a non-terminating decimal number that does not follow any specific pattern (example: 0.333.... and 16.111... are all repeating with 3s and 1s, making them rational. While [tex]\sqrt{3}[/tex] or [tex]\sqrt{5}[/tex] are continuing decimals without a pattern, making them irrational). [tex]\sqrt[3]{8}[/tex], [tex]\sqrt[3]{125}[/tex], and [tex]\sqrt{49}[/tex] are all rational numbers, as they are equivalent to 2, 5, and 7 respectively. [tex]\sqrt{52}[/tex] can be written as [tex]\sqrt{4*13}[/tex] or [tex]2\sqrt{13}[/tex], since [tex]\sqrt{13}[/tex] is not a complete square root, which means that [tex]2\sqrt{13}[/tex] is an irrational number.

Determine is the point (9,5) is the solution to the system of inequalities below.

Answers

Answer:

9>5

Step-by-step explanation:

9 comes further in counting than 5

=9=nine=greater than five=5=five

What is the value of the expression 6 +5. (8 + 2)²?​

Answers

The value of the expression 6 +5. (8 + 2)² is 506 after solving with BODMAS rule.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have an epression:

= 6 +5. (8 + 2)²

We can solve the above expression by BODMAS:

= 6 + 5(10)²

= 6 + 5(100)

= 6 + 500

= 506

Thus, the value of the expression 6 +5. (8 + 2)² is 506 after solving with BODMAS rule.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

When using substitution method to solve the following system of equations, what is the result of the first step ? x +2y=5 y=6x+3

Answers

Answer:

x=3

Step-by-step explanation:

Sub y=x-1 into 2x+y=8.

You will get 2x+x-1=8.

Simplify 3x-1=8

Solve 3x=9

x=3

ANSWER The answer is x = 3

Tamir bought 2 1/2 pounds of fish at $5.50 per pound, and two bananas at the price shown.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2.5 x 5.5 = 13.75

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

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