A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the
water and the container, W. in pounds and the amount of water, A, in gallons? (1 point)
W

Answers

Answer 1

Answer:

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

Step-by-step explanation:

From Physics we understand that conversions are represented by the following linear equation:

[tex]u' = r\cdot u[/tex] (1)

Where:

[tex]u[/tex] - Original value, measured in original unit. (pounds)

[tex]r[/tex] - Conversion value, measured in final unit per original unit. (gallons per pound)

[tex]u'[/tex] - Final value, measured in final unit. (gallons)

If we know that [tex]u' = A[/tex], [tex]u = W[/tex] and [tex]r = \frac{1}{8.34} \,\frac{gal}{lbm}[/tex], then the equation is:

[tex]A = \frac{W}{8.34}[/tex]

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].


Related Questions

Multiply: 1/ 3 × 2 /5 To find the product, the numerators and the denominators. The product is . Divide: 2/ 5 ÷ 3/ 5 To divide, multiply by the . The quotient is .

Answers

Multiply:  1

3

 ×  2

5

To find the product,

✔ multiply

the numerators and

✔ multiply

the denominators.

The product is

✔ 2/15

.

Divide:  2

5

 ÷  3

5

To divide, multiply by the

✔ reciprocal

.

The quotient is

✔ 2/3

.

Edg 2020 :)))))))

The multiplication result to 2/15 and division result to 2/3.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

1/ 3 × 2 /5

Now, to multiply we have multiply numerator and denominator.

1/ 3 × 2 /5

=(1  x 2)/ ( 3 x 5)

= 2 /15

Now, 2/ 5 ÷ 3/ 5

We have to divide the fraction.

Fraction does not support division.

So,2/ 5 ÷ 3/ 5

= 2/5 x 5/3

= 2/3.

Learn more about fraction here:

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A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be five times the amount of vinegar. How much of each ingredient is needed in order to make 15 oz of furniture​ polish?

Answers

Answer:

Missing Information.

Helpppppp pleaseeeee
Save me from this questionnnnn

Answers

y = 33
x = -3
Hoped I help

I NEED HELP ASAP PLZ!!!!
A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3.

There are eight more large marbles than small marbles. How many total marbles are in the bag? [Type your answer as a number.]

Answers

Answer:

There would be four small marbles and twelve large marbles so your answer should be sixteen marbles in total

Step-by-step explanation:

The sum of half of a number and 49 is 2 whole 1/4 0f the number. Find the number. *

3 points

a) 28

c) 24

b) 26


choose the correct answer from the given choices​

Answers

Answer:

28

Step-by-step explanation:

let the missing number be x

x÷2+49=2¼x

49=9/4x-x/2

lcm=4

9x-2x/4

49=7x/4

49×4=7x

196=7x

divide both sides by 7

196/7=x

therefore 28=x

Step 1:Choose the lowest common denominator

Find the sum of 1/5 and 7/10

The expression written in equation from with common denominator is______

The sum is___​

Answers

Answer:

-6/8 +5/8 and -1/8

Step-by-step explanation:

just got done doing it.

△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has length 217−−√ units, find the length of AC¯¯¯¯¯¯¯¯.

Answers

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

[tex]Hypotenuse=2\sqrt{17}[/tex]

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

[tex]Hypotenuse^2=Base^2+Perpendicualar^2[/tex]

△ABC is a right angle triangle and AC is hypotenuse, so

[tex](2\sqrt{17})^2=(x)^2+(x+6)^2[/tex]

[tex]68=x^2+x^2+12x+36[/tex]            [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Subtract 68 from both sides.

[tex]0=2x^2+12x+36-68[/tex]

[tex]0=2x^2+12x-32[/tex]

[tex]0=2(x^2+6x-16)[/tex]

Divide both sides by 2.

[tex]x^2+6x-16=0[/tex]

Splitting the middle term, we get

[tex]x^2+8x-2x-16=0[/tex]

[tex]x(x+8)-2(x+8)=0[/tex]

[tex](x+8)(x-2)=0[/tex]

[tex]x=-8,2[/tex]

Side cannot be negative, so x=2 only.

Now,

[tex]AC=x+6[/tex]

[tex]AC=2+6[/tex]

[tex]AC=8[/tex]

Therefore, the length of AC is 8 units.

help please I’m struggling badly because Im sooo bad at math

Answers

Answer:

40˚ degrees

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

PLEASE ITS EASY I FOGOT HOW TO DO IT

Answers

Answer:

x> -1

Step-by-step explanation:

Open circle means > or <

I'll brainlist!!

Plant A is 18 inches tall after one week, 36 inches tall after two weeks, 56 inches tall after three weeks. Plant B is 18 inches tall after one week, 36 inches tall after two weeks, 54 inches tall after three weeks. Which situation represents a proportional relationship between the plants?
Height and number of weeks?

Answers

Answer:

There are 2 given situations:

Plant A and Plant B growing in 3 weeks. Find which plant grows proportional

Plant A

=> 1st week = 18 inches

=> 2nd week = 36 inches

=> 3rd week = 56 inches

=> 18 + 18 = 36 + 20 = 56

Thus, this is not proportional

Plant B

=> 1st week = 18 inches

=> 2nd week = 36 inches

=> 3rd week  = 54 inches

=> 18 + 18 = 36 + 18 = 54 inches

thus, the growth of this plant is proportional

Which equation represents Which equation represents the vertical line passing through (1,-9)?
A.
x = -9
B.
x= 1
C.
y=-9
D. y=1

Answers

The answer is B. x=1

Equation x = 1 represents the vertical line passing through (1 ,-9).

What is equation of line ?

" Equation of a line is defined as an algebraic expression which is represented by linear equation in two variables with highest degree 1. Minimum two coordinates required to draw a line."

According to the question,

Coordinates in the plane represented by (x, y)

We have

Line passing through the point  = (1 ,-9)

x = 1 for different values of y represents a line perpendicular to x-axis.

Therefore,

Vertical line passing through (1, -9) is equals x = 1.

Hence, Option(B) is the correct answer.

Learn more about equation of line  here

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y = 3x. How do you graph it???

Answers

Answer:

If you go to desmos.com, select the graphing calculator, and enter in y = 3x you should be able to see how it's graphed! Hope this helps!

Answer:

(0, 0) and (1, 3)

happy to help!

Identify the like terms in the expression below: 6w2+11w+8w2−15w

Answers

Answer:

14w 2 − 4w

Step-by-step explanation:

fill in the blanks thanks

Answers

Answer:

Um threre is no blanks or there is no question.

Step-by-step explanation:

Father to his first biological son true or false?

Answers

Answer:

True

Step-by-step explanation:

have a great day!

A football team loses 2 yards every 5 minutes. How many yards did the team lose after 15 minutes?

Answers

After 15 minutes the football team lost 6 yards
After 15 mins the team loses 6 yards

6 3/4 plus 2 1/4 divided by 7/8

Answers

Answer: 72 over 7

Step-by-step explanation: Hoped this helped you

Answer:

[tex]6 \frac{3}{4} + 2 \frac{1}{4}[/tex] × [tex]\frac{8}{7}[/tex]

Decimal Form: 9.32

Step-by-step explanation

HURRY PLEASE!! I NEED TO TURN THIS IN TODAY!!
I WILL GIVE YOU BRAINLIEST!
i need the equation you solved it with too.

Answers

Answer:

I cant tell you the answer but multiply 3x1 then 137 by 2 then add the 3x1 and the 137 x 2 all together and you get the answer

Please help its important!!
Triangle ABC in the figure above represents the area serviced by a shipping company that plans to build a distribution center at the incenter of the triangle located at point E. A circle is constructed to represent the location of the center. The diameter of the circle is 28 miles. The existing road is perpendicular to the incenter and the company is looking to build 2 more perpendicular roads but connecting the other 2 sides of the triangle. How many more miles of road will be needed?

Select one:
A. 28
B. 34
C. 43
D. 56

Answers

Answer:

A. 28

Step-by-step explanation:

A. 28

step 1.

We know that the diameter of the circle inscribed within the triangle is 28 miles, and we know that E is the incenter of triangle ABC.

step 2.

Next, we learned that the perpendicular legs from the incenter to the sides of the triangle are congruent, and we know that the radius of a circle is 1/2 of the diameter of the circle.

step 3.

Since the diameter of the circle is 28, we know the distance of segment DE is 14. Next, we know the perpendicular legs are equal to segment DE. Thus, we can solve for the amount of additional miles of road by writing 14 + 14 = 28.

1. Determine whether line KM and line ST are Parallel, Pers
Line KM has a slope of 5/8
Line ST has a slope of -8/5

Answers

Answer:

Since the slope of KM and ST are different, they are not parallel

Step-by-step explanation:

Slope of line KM = [tex]\frac{5}{8}[/tex]

 Slope of ST = [tex]-\frac{8}{5}[/tex]

Determine whether the lines are perpendicular;

Solution:

We can use the slope of a line to determine whether they are perpendicular or parallel to one another.

Parallel lines do not meet one another

Perpendicular lines cross one another at an angle of 90°

Two lines are parallel if their slopes are the same;

  Since the slope of KM and ST are different, they are not parallel

HONORS INLY:
5. Find the measurements of the angles
marked with x, y and z.

(Isosceles triangle theorem

Answers

Answer:

x = 55°

y = 70°

z = 125°

Step-by-step explanation:

Based on the Isosceles triangle theorem, since two sides of the triangle are congruent, therefore, the angles opposite to each of the equal sides are congruent.

Thus:

x = 180° - 125° (angles on a straight line/linear pair)

x = 55°

If x = 55°, the other base angle will also be 55°.

Therefore,

y = 180° - (55° + 55°) (sum of ∆)

y = 70°.

z = x + y (exterior angle of a ∆ theorem)

z = 55° + 70° (substitution)

z = 125°

The manufacturer of a certain brand of lightbulbs claims that the variance of the lives of these bulbs is 4100 square hours. A consumer agency took a random sample of 26 such bulbs and tested them. The variance of the lives of these bulbs was found to be 5900 square hours. Assume that the lives of all such bulbs are (approximately) normally distributed. Test at the 20% significance level whether the variance of such bulbs is different from 4100 square hours. a)The value of the test statistic x is 15.743; we fail to reject the null hypothesis. b)The value of the test statistic x is 32.859; we fail to reject the null hypothesis. c)The value of the test statistic y is 32.859; we reject the null hypothesis. d)The value of the test statistic is 35.976; we fail to reject the null hypothesis. e)The value of the test statistic is 15.743; we reject the null hypothesis. f)The value of the test statistic x is 35.976; we reject the null hypothesis.

Answers

Answer:

124345

Step-by-step explanation:

Here is a list of numbers 5 -17 -3 17 -6 -17 19 -14 -20 state the median.

Answers

Answer:

the answer is -6

Step-by-step explanation:

the median is the number that is directly in the middle of a sequence of numbers

Every triangle must have an acute angle. True or false?

Answers

Answer:

This is true every triangle has to have 1 acute angle.

Step-by-step explanation:

18 divided by 4
Please help

Answers

Answer:

Step-by-step explanation: 4.5

Answer:

4.5

Step-by-step explanation:

18/4=4.5

hope this helps :3

if it did pls mark brainliest

Use Newton's method to approximate the given number correct to eight decimal places. 4√73

Answers

Answer:34.17601498.

Step-by-step explanation:

Newton's method of approximation is used to approximate values.

The value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498

Let the number be x.

So, we have:

[tex]\mathbf{x = 4\sqrt{73}}[/tex]

Square both sides

[tex]\mathbf{x^2 = 1168}[/tex]

Subtract 1168 from both sides

[tex]\mathbf{x^2 - 1168 = 0}[/tex]

Express as a function

[tex]\mathbf{f(x) = x^2 - 1168 }[/tex]

Set x1 to 73/2.

So, we have:

[tex]\mathbf{x_1 = \frac{73}{2} = 36.5}[/tex]

Where:

[tex]\mathbf{x_{n+1} = x_n- \frac{x_n^2-1168}{2x_n}}[/tex]

So, we have:

[tex]\mathbf{x_{1+1} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]

[tex]\mathbf{x_{2} = x_1- \frac{x_1^2-1168}{2x_1}}[/tex]

This gives

[tex]\mathbf{x_{2} = 36.5- \frac{36.5^2-1168}{2 \times 36.5}}[/tex]

[tex]\mathbf{x_{2} = 34.25}[/tex]

[tex]\mathbf{x_{3} = x_2- \frac{x_2^2-1168}{2x_2}}[/tex]

[tex]\mathbf{x_{3} = 34.25- \frac{34.25^2-1168}{2 \times 34.25}}[/tex]

[tex]\mathbf{x_{3} = 34.1760948905}[/tex]

[tex]\mathbf{x_{4} = x_3- \frac{x_3^2-1168}{2x_3}}[/tex]

[tex]\mathbf{x_{4} = 34.1760948905- \frac{34.1760948905^2-1168}{2\times 34.1760948905}}[/tex]

[tex]\mathbf{x_{4} = 34.1760149814}[/tex]

[tex]\mathbf{x_{5} = x_4- \frac{x_4^2-1168}{2x_4}}[/tex]

[tex]\mathbf{x_{5} = 34.1760149814- \frac{34.1760149814^2-1168}{2\times 34.1760149814}}[/tex]

[tex]\mathbf{x_{5} = 34.1760149813}[/tex]

The values of x4 and x5 are the same up till the 8th decimal place.

Hence, the value of [tex]\mathbf{4\sqrt{73}}[/tex] is 34.17601498

Read more about Newton's method of approximation at:

https://brainly.com/question/14279052

Suppose that the amount of snowfall per storm in Lincoln is normally distributed with µ = 4.2 inches and standard deviation µ = 2.3 inches (totally made up data). If the mayor decides that only the top 5% of storms should have school cancelled, what is the cutoff snowfall for school to be cancelled?

Answers

Answer:

7.9835

Step-by-step explanation:

Given that :

Mean snowfall per storm (µ) = 4.2 inches standard deviation (s) = 2.3 inches

Only the top 5% of storm should result in school being canceled :

Cut off snowfall for school to be canceled '

P(Z ≥ 5%) ; p(Z ≥ 0.05) = 1.645

Using the z relation :

Z = (x - m) / s

1.645 = (x - 4.2) /2.3

x - 4.2 = 2.3 * 1.645

x - 4.2 = 3.7835

x = 3.7835 + 4.2

x = 7.9835

Cut off snowfall for school to be canceled 7.9835

Answer:

hopes this photo helps

Multiply 8674 x 678 is what

Answers

Answer:

5880972

hope it helps..

Why is it important for mathematicians to graph functions? Select all that apply.
A. For them to determine if a function can be inverted.
B. For them to visualize the function.
C. For them to extrapolate beyond the known data.
D. For them to determine if the function can be graphed.
E. For them to determine characteristics of the function.

Answers

Answer:

e

Step-by-step explanation:

s

Chloe is remodeling her living room and wants to put down new wood floors. The wood floors cost $8.50 per square foot to buy and install. If her living room has an area of 156.5 square feet, how much will the new floors cost?

Answers

Answer:

1 330,25

Step-by-step explanation:

8.50x156,6=1330,25

Just divide it 156.5 dived by 8.50=?
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