Ashley has two buckets filled with water. The large bucket contains 36 gallons and is leaking at a rate of 0.12 gallons per hour. The small bucket contains 12 gallons and is leaking at a rate of 0.6 gallons per hour.



Which inequality can be used to find the number of hours, h, at which the larger bucket will have less water than the smaller bucket?

9514 1404 393

Answer:

  45

Step-by-step explanation:

Solving for d, we find ...

  3(d +1) = 4(d -2)

  3d +3 = 4d -8 . . . . . . eliminate parentheses

  11 = d  . . . . . . . . . . . .  subtract 3d-8

Then the value of 5(d-2) is ...

  5(11 -2) = 5(9) = 45

_____

The graphical solution gives both the value of "d" and the value of 4(d-2). To get 5(d-2), we only need to add d-2 to the value of 4(d-2).

  5(d-2) = (11 -2) +36 = 45

Answer:

∠ MDF = 39°

Step-by-step explanation:

∠ MDH = 90°, so

∠ MDF + ∠ FDH = 90 , substitute values

2r + 59 + 6r + 111 = 90 , that is

8r + 170 = 90 ( subtract 170 from both sides )

8r = - 80 ( divide both sides by 8 )

r = - 10

Thus

∠ MDF = 2r + 59 = 2(- 10) + 59 = - 20 + 59 = 39°

The equivalent expression for −12(8a − 7b) + 8(4x + 3y) is represented  as - 96a + 84b + 32x + 24y

Two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Therefore, the equivalent expression of  −12(8a − 7b) + 8(4x + 3y) can be solved as follows:

−12(8a − 7b) + 8(4x + 3y)

open the bracket

−12(8a − 7b) + 8(4x + 3y)

- 96a + 84b + 32x + 24y

Therefore, the equivalent expression of −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y

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Answer:

Hi there!

Your answer is:

-26/5 , -5.17 , √33 , 37/6

Step-by-step explanation:

-26/5 = -5.2

-5.17 = -5.17

✓33= 5.7

37/6 = 6.16

Answer:

u use speed triangle so 32/8=4

so he travelled 4 hours

MARK AS BRAINLIEST

MARK AS BRAINLIEST

Answer:

4 hours

Step-by-step explanation:

1hr=8 kilometers

2=16 kilometers

3=24 kilometers

4=32 kilometers

2a plus 6 equl eight i hink so

Answer:

Solve the given system first

Find b:

Find a:

Verify the options for correctness:

Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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1)

\(\longrightarrow (-\dfrac{1}{2} +2)\)

\(\longrightarrow (-\dfrac{1}{2} +\dfrac{4}{2} )\)

\(\longrightarrow \dfrac{-1+4}{2}\)

\(\longrightarrow \dfrac{3}{2}\)

\(\sf \bold{\longrightarrow 1\dfrac{1}{2}}\)         (final answer)

2)

\(\longrightarrow \sf 4(\dfrac{1}{2} +\dfrac{5}{4} ) + (-5)\)

\(\longrightarrow \sf 4(\dfrac{2}{4} +\dfrac{5}{4} ) + (-5)\)

\(\longrightarrow \sf 4(\dfrac{7}{4} ) + (-5)\)

\(\longrightarrow \sf 7-5\)

\(\longrightarrow \bold{\sf 2}\)        (final answer)

The mean height of the sunflowers is,

⇒ 112.5

We have to given that;

The table shows information about the heights, in cm, of 48 sunflowers in a garden center.

Here, Mean for height of sunflower are,

(90 + 100) / 2 = 95

(100 + 110) / 2 = 105

(110 + 120) / 2 = 115

(120 + 130) / 2 = 125

(130 + 140) / 2 = 135

Hence, WE can formulate;

The mean height of the sunflowers is,

⇒ (95 × 8 + 105 × 12 + 115 × 15 + 125 × 10 + 135 × 3) / 48

⇒ (760 + 1260 + 1725 + 1250 + 405)/ 48

⇒ 5400 / 48

⇒ 112.5

Therefore, The mean height of the sunflowers is,

⇒ 112.5

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Answer:

280 ≥ 20 + 40x

Step-by-step explanation:

$280 is the total they can spend. and since parking is $20 it is added to the amount of people that can go x 40. This is because 40 is the amount per person.

pls mark brainliest

Answer:

2.5

To get three numbers that add up to 7.5 and have the same value, we can use an equation that looks like this:

Fitting the numbers into the equation:

To check our work, we can add or multiply.

Therefore, the number that can be multiplied 3 times to equal 7.5 is 2.5.

The three equivalent number which sums up to 7.5 is 2.5.

To find the three equivalent number sum upto 7.5, consider the unknown number as x.

So, the sum of three equivalent number is 7.5.

x+ x + x = 7.5

3x = 7.5

Divide both side equation by 3 gives

3x /3 = 7.5/ 3

x = 2.5

So, 2.5+ 2.5 + 2.5 = 7.5

Therefore, the number is 7.5.

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Answer:

12 pieces of candy for $1.49

Answer:

Answer: x ≤ q - 17/6.

Step-by-step explanation:

Divide both sides of the inequality by the coefficient of variable

The correct answer is: OB. The power rule for derivatives was used instead of the power rule for integrals.

The power rule states that when differentiating a function of the form \(x^n\), where n is a constant, the derivative is given by\(nx^(^n^-^1^)\). However, when integrating a function, the power rule for integrals states that the integral of x^n dx, where n is a constant, is equal to \((1/(n+1))x^(^n^+^1^)\)+ C, where C is the constant of integration.

In the given question, the power rule was applied incorrectly. The expression "5 3 3" suggests that the integrand is \(5x^3^3\), where the superscript 3 is mistakenly applied to the numerator instead of the entire integrand. The power rule for derivatives was then applied, resulting in a derivative instead of an integral. This is incorrect because the power rule for derivatives and the power rule for integrals have different formulas and purposes.

To solve the integral correctly using the power rule for integrals, the exponent in the integrand should be reduced by 1 and then divided by the new exponent plus 1. Applying the power rule for integrals to the expression would yield \((1/4)x^4\)+ C, where C is the constant of integration.

In summary, the mistake in the given use of the power rule is that the power rule for derivatives was used instead of the power rule for integrals. The correct application of the power rule for integrals would lead to a different result.

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Answer:

4cm or 7 cm

Step-by-step explanation:

it can make 2 sides equal and make a isosceles triangle

Answer:

0

Step-by-step explanation:

Untuk menyelesaikan masalah ini, kita perlu menyelesaikan sistem persamaan linear dua variabel pertama dan sistem persamaan linear tiga variabel:

Sistem Persamaan Linear Dua Variabel:

2x + 3y = 8 ... (1)

-4x + 6y = 8 ... (2)

Untuk menyelesaikan sistem persamaan ini, kita dapat menggunakan metode eliminasi:

Langkah 1: Kalikan Persamaan (1) dengan 2 dan Persamaan (2) dengan 1. Kita memperoleh:

4x + 6y = 16 ... (3)

-4x + 6y = 8 ... (4)

Langkah 2: Tambahkan Persamaan (3) dan Persamaan (4). Kita memperoleh:

12y = 24

Langkah 3: Bagi kedua sisi dengan 12. Kita memperoleh:

y = 2

Langkah 4: Substitusikan y = 2 ke dalam Persamaan (1) atau (2). Kita memperoleh:

2x + 3(2) = 8

2x + 6 = 8

2x = 2

x = 1

Jadi, solusi dari sistem persamaan linear dua variabel adalah (x, y) = (1, 2).

Sistem Persamaan Linear Tiga Variabel:

x - z = -4 ... (5)

x + y + z = ?

2x + 3y = 8

Untuk menyelesaikan sistem persamaan ini, kita dapat menggunakan metode substitusi:

Langkah 1: Substitusikan x = 1 dan y = 2 dari sistem persamaan linear dua variabel ke dalam Persamaan (3). Kita memperoleh:

2(1) + 3(2) = 8

2 + 6 = 8

8 = 8

Langkah 2: Substitusikan x = 1 dari sistem persamaan linear dua variabel ke dalam Persamaan (5). Kita memperoleh:

1 - z = -4

z = 5

Langkah 3: Substitusikan x = 1 dan z = 5 ke dalam Persamaan (6). Kita memperoleh:

1 + y + 5 = ?

y = -6

Jadi, solusi dari sistem persamaan linear tiga variabel adalah (x, y, z) = (1, -6, 5).

Maka nilai x + y + z adalah:

x + y + z = 1 + (-6) + 5 = 0

Jadi, nilai x + y + z adalah 0

The electric field (E-field) associated with the given potential function V(x, z) = 4bx^2 + 4az^3 - 3cz^3 is E = -8bx i - (12az^2 - 9cz^2)j.

To find the electric field (E-field) associated with the given potential function, we need to calculate the negative gradient of the potential. The E-field is given by the following formula:

E = -∇V

Where ∇ is the gradient operator. In this case, the potential function V(x, z) is defined as:

V(x, z) = 4bx^2 + 4az^3 - 3cz^3

To calculate the E-field, we need to take the partial derivatives of V with respect to x and z and then apply the negative sign. Let's calculate each component separately:

Partial derivative with respect to x (dV/dx):

dV/dx = 8bx

Partial derivative with respect to z (dV/dz):

dV/dz = 12az^2 - 9cz^2

Now, we can write the E-field vector as:

E = -∇V = -(dV/dx)i - (dV/dz)j

Substituting the calculated partial derivatives, we have:

E = -8bx i - (12az^2 - 9cz^2)j

Therefore, the electric field (E-field) associated with the given potential function V(x, z) = 4bx^2 + 4az^3 - 3cz^3 is:

E = -8bx i - (12az^2 - 9cz^2)j

Note that the positive constants b and c are included in the E-field expression.

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Answer:

\(216cm^3\)

Step-by-step explanation:

Surface area of a cube is \(6 * s^2\)

\(6 * (s)^2 = 216cm^2\\s^2 = 36cm^2\\s = 6cm\)

Now we have a value of the side we can get the volume.

Volume = \(s^3\\\)

\(= (6cm) ^ 3\)

\(= 216cm^3\)

Hope this helps!

Brainliest and a like is much appreciated!

It's important to consider personal financial priorities and budget accordingly.

Location: The cost of living can vary greatly depending on where you live. Movie theaters located in cities or tourist areas may charge more for snacks compared to those located in suburban or rural areas.

Type of movie theater: The type of movie theater can also influence the cost of snacks. Luxury or premium movie theaters may charge more for snacks and offer a wider selection of premium snacks.

Time of day: The time of day can also influence snack prices. Movie theaters may offer discounts for snacks during matinee showings or other off-peak hours.

Personal preferences: The amount spent on snacks can vary depending on individual preferences. Some people may prefer to bring their own snacks from home, while others may prefer to purchase snacks at the movie theater.

Size of snacks: The size of snacks can also affect the cost. Larger sizes of popcorn, candy, or soda may cost more than smaller sizes.

Overall, the amount spent on snacks at the movie theater can vary greatly depending on a variety of factors. It's important to consider personal financial priorities and budget accordingly.

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Answer:

n = 2 + (60/2)

Step-by-step explanation:

Answer:

It's 90° degrees .

Explanation :

A right angle meseaures correct 90° degrees .

The base area of the rectangular prism is 63 square inches, the height is 15 inches, and the volume is 945 cubic inches.The volume of the solid with a trapezoid base is approximately 3128.3 cubic inches.The height of trapezoid is 20.3 inches.Base area of trapezoid is 5948.1cubic inches.

"Area" is a measurement of the amount of space inside a two-dimensional shape, such as a square or a circle. It is typically measured in square units, such as square inches or square meters.

A trapezoid is a four-sided, two-dimensional shape with one pair of parallel sides. The other two sides are usually not parallel, and the angles between them can vary. It is also known as a trapezium in some countries.

According to the given information:

shape = rectangle

The base area of the rectangle can be calculated by multiplying the length and width:

Base Area = length x width = 18 inches x 3.5 inches = 63 square inches

The height of the rectangular prism is given as 15 inches.

The volume of the rectangular prism can be calculated by multiplying the base area with the height:

Volume = base area x height = 63 square inches x 15 inches = 945 cubic inches.

Therefore, the base area of the rectangular prism is 63 square inches, the height is 15 inches, and the volume is 945 cubic inches.

Shape = trapezoid

To calculate the volume, we can use the formula:

Volume = (1/3) x base area x height

First, we need to calculate the base area of the trapezoid. We can do this by dividing the trapezoid into a rectangle and two right triangles.

The base of the trapezoid is the sum of the lengths of the parallel sides, which is:

base = 19 + 35 = 54 inches

The height of the trapezoid is the perpendicular distance between the parallel sides. To calculate it, we can use the Pythagorean theorem on the right triangle with legs of 17 and 22 inches:

height² = 22²- (19 - 17)²= 484 - 4 = 480

height = √(480) = 4√(30) ≈ 24.7 inches

Now we can calculate the base area:

base area = (19 + 35) x 24.7 / 2 = 938.5 square inches

Finally, we can calculate the volume of the solid:

Volume = (1/3) x base area x height = (1/3) x 938.5 x 10 = 3128.3 cubic inches

Therefore, the volume of the solid with a trapezoid base is approximately 3128.3 cubic inches.

The height of trapezoid is 20.3 inches.(Its already given in question)

Base area of trapezoid is calculated by the formula

A = a+b×h/2

A =19 + 35 × 20.3 /2

A = 5948.1 cubic inches

Therefore Base area of trapezoid is 5948.1cubic inches.

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The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Transportation has become an essential part of our daily lives. It has transformed over time and has improved access to transportation services, increased connectivity, and intermodal options.

To meet the various transportation needs, different modes of transportation have evolved, including water, air, rail, 3PL, cross-docking, truck, intermodal, and pipeline. Each mode of transportation has unique characteristics and advantages. In this regard, matching the following transportation characteristics with the appropriate mode of transportation is necessary.

The most capable mode of transportation is the water mode of transportation. It has the highest capacity and can transport a vast amount of goods over long distances. It can transport large, heavy, and bulky goods that are difficult to transport by other modes of transportation. The mode of transportation that provides the most accessibility is the truck mode of transportation. It can reach almost any location as it can travel on roads and highways. It offers door-to-door service, which means that it can pick up the goods from the sender and deliver them to the receiver. The most reliable mode of transportation is the rail mode of transportation. It is not affected by traffic or weather conditions, which means that it can transport goods on time. It also has a low risk of accidents or delays, which makes it a reliable mode of transportation.

The fastest mode of transportation over a long distance is the air mode of transportation. It is the quickest mode of transportation as it can travel at high speeds and can cover long distances in a short time. This makes it ideal for transporting goods that need to be delivered urgently. The mode of transportation that has the lowest per-unit cost is the water mode of transportation. It is the most cost-effective mode of transportation as it can transport a large number of goods at once, which reduces the cost per unit.

Match the following descriptions with the appropriate transportation intermediary. The transportation intermediary that consolidates LTL shipments into FTL shipments is cross-docking. It takes small shipments from multiple companies and consolidates them into larger shipments. The transportation intermediary that is a nonprofit cooperative that arranges for members' shipments is 3PL.The transportation intermediary that brings shippers and carriers together is the intermodal mode of transportation. It provides an intermodal network to connect different modes of transportation to transport goods efficiently.

The transportation intermediary that purchases blocks of rail capacity and sells it to shippers is rail transportation. It makes it easier for shippers to transport goods using the rail mode of transportation.

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Answer:

\(144 cm^{2}\)

Step-by-step explanation:

Step 1: Find the true length of each side

We know that the perimeter is 56cm and the ratio of AD:AB:DC:BC is 5:12:6:5. It is safe to assume that this ratio is the simplified version, which means that if we multiply each of these numbers by a scale factor of \(x\), then we get the true length of each side, so we would get \(5x, 12x, 6x, 5x\) for the sides. We also know that when we add these numbers, we get the perimeter, which is 56. So, we can create the equation \(5x + 12x + 6x + 5x = 56\). Then, solve the equation for x, which would be 2, and go back and multiply each number with 2 to get the following:

AD = 5*2 = 10cm, AB = 12*2 = 24cm, DC = 6*2 = 12cm, BC = 5*2 = 10cm  

Step 2: Calculate the Height

Now we know the lengths of each side, lets take a look at the formula for the area of a trapezium: \(\frac{base_{1} + base_2}{2}*height\). So, the next step would be to calculate the height. We can draw the height by drawing a line straight down from the vertex D and another straight down from the vertex C. These lines are both the height, and will be the exact same length. We can calculate that the height is 8 because AB is 24 cm, but the length from the height at vertex D to the height at vertex C is 12 cm, so that means that the base of each triangle is 12/2 = 6 cm. Then we can use Pythagorean theorem to figure out that the height is 8cm.

Step 3: Calculate the Area

Lastly, we can calculate the area. The formula is \(\frac{base_{1} + base_2}{2}*height\). In this case, the numbers would be \(\frac{12 + 24}{2} * 8 = 144cm^{2}\)

I know this is a lot, so let me know if you have any questions!