a large water tank measures 6 feet across and 4 feet high. it is being filled with water at a rate of 10 gallons per minute. about how many hours will it take to fill the pool if 1 cubic feet of water is about 7.5 gallons? round to the nearest tenth.

The solution set for the equation 25x = 40 is {1.6}, obtained by dividing both sides by 25 and verifying the solution by substitution.

To find the solution set of the equation 25x = 40, we need to isolate the variable x by performing algebraic operations. The goal is to get x by itself on one side of the equation. This involves dividing both sides of the equation by the coefficient of x, which in this case is 25. Following this step, we arrive at the equation x = 40 / 25.

By simplifying 40 / 25, we find that x = 1.6. Therefore, the solution set for the equation 25x = 40 is {1.6}. It’s important to check the solution by substituting it back into the original equation to ensure that it satisfies the equation:

25(1.6) = 40

40 = 40

This indeed confirms that x = 1.6 is the correct solution. In mathematics, solving linear equations such as this one is a fundamental skill that involves understanding algebraic manipulation and the properties of equality.

The solution set for the equation 25x = 40 is x = 8/5. In other words, the only value for x that satisfies the equation is 8/5.

The solution set for the equation 25x = 40, we can isolate the variable x by dividing both sides of the equation by 25:

x = 40/25

Simplifying the right side gives:

x = 8/5

So, the solution set for this equation is {8/5}. In other words, the only value for x that satisfies the equation is 8/5. To understand this, you can substitute this value back into the original equation:

25 * (8/5) = 40

Simplifying the left side:

200/5 = 40

Indeed, the equation holds true.

In summary, the only choice in the solution set for the equation 25x = 40 is x = 8/5. This means that when you substitute 8/5 for x in the equation, both sides will be equal.

Answer:

x=285

Step-by-step explanation:

34 more than ( +34)

quotient of number and 15 (x/15)

is 53 (=53)

(-34)x/15+34=53(-34)

(15)x/15=19(15)

x=285

Answer is B, sodium acetate, because it is the solute .

Answer:

The student has to translate the points A, B and C 7 units down to create points A', B' and C', and then connect these points

Step-by-step explanation:

The slope of the lines is the same (3). The difference between the lines is their y-intercept (from the first line is 2 and for the second one is -5). This means that the lines are parallel and separated by 2 - (-5) = 7 units

Answer:

3 hours.

Step-by-step explanation:

Trust me...

Answer:

13.5 in²

Step-by-step explanation:

We can use the area formula for a trapezoid.

Area = [tex]\frac{1}{2}(b_{1}+b_{2} )h[/tex]

To solve, we find and plug in the variables. According to the trapezoid, we know

h (height) = 3 in

[tex]b_{1}[/tex] (base 1) = 4in

[tex]b_{2}[/tex] (base 2) = 5in

1/2(4 + 5) ·3 = 13.5 in²

The area of a trapezium is 13.5 in².

Option B is the correct answer.

We have,

The area of a trapezium.

= 1/2 x (sum of the parallel sides) x height

Now,

height = 3 in

Parallel sides = 5 in and 4 in

Now,

Substituting the values.

The area of a trapezium.

= 1/2 x (sum of the parallel sides) x height

= 1/2 x (5 + 4) x 3

= 1/2 x 9 x 3

= 27/2

= 13.5 in²

Thus,

The area of a trapezium is 13.5 in².

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The expression sin^-1(3/8) can be used to determine the angle between the board and the ground in this scenario. This utilizes the sine function in trigonometry, which involves the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right-angle triangle.

The subject of this question is Mathematics, specifically trigonometry. In such a problem, we can utilize the concept of trigonometric functions, in this case is the sine function. The sine of an angle in a right-angled triangle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse. In this scenario, the board acts as the hypotenuse, the height of the truck is the side opposite the angle, and the angle we're trying to determine is between the ground (which we can consider as the adjacent side) and the board.

So, to determine the angle, we would use the expression: sin^-1(opposite/hypotenuse) = sin^-1(3/8).

The sine inverse or 'sin^-1' is used to find the angle when we know the sine value. Also, note that the answer will be in radians and can be converted into degrees by multiplying by 180/pi if necessary.

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Answer:

C) △ABC is moved onto △A'B'C' after translating −16 units horizontally and 6 units vertically, and then reflecting across the x-axis.

Explanation: I did USA Test Prep.

Answer:

the last one

Step-by-step explanation:

Answer:

It is

Step-by-step explanation:

The reason being is both times you imputed -3 you got an output of 5.

Answer:

The boulder's maximum height is:

a. Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The easiest way to solve the unknown is to replace the time in the given equation, with the values ​​given in the answer, look for the highest value and check if the height value decreases as the time increases or decreases.

First the equation provided is taken:

The time values ​​in the options are 3.75 seconds and 7.5 seconds, therefore we proceed to replace this formula with those values:

Since a higher height value is obtained with 3.75 seconds (235 feet), this time will be taken as appropriate, however, it is best to check that by using more time and less time, the height decreases from that value, so we will take two very close times: 3.74 seconds and 3.76 seconds:

As you can see, if slightly higher or lower time values ​​are taken, the height of the rock still decreases from 235 feet, so we can be sure that the time in which it reaches its maximum height is 3.75 seconds.

Answer: A) 4

Step-by-step explanation:

Hi, to answer this, first, we have to calculate the volume of each can:

Volume of a cylinder: π x radius^2 x height

Since:

Diameter: 2 radius

2 = 2r

2/2 =r

r=1

Back with the volume formula:

V = 3.14 ( 1)² 4 =12.54 cubic inches

Now, we have to divide the total volume of soda by the volume of each can:

50.24/12.54= 4 soda cans

Feel free to ask for more if needed or if you did not understand something.

Answer: 6.25

Step-by-step explanation:

Answer:

C. 2a

Step-by-step explanation:

i did this because I love you- angelo (junior 11th grade) CCHS 2021

The expression that is equivalent to (4a + 4)/2a × a²/(a + 1) is: 2a.

Equivalent expressions are expressions that have the same value when simplified.

Thus:

(4a + 4)/2a × a²/(a + 1)

Multiply

[(4a + 4)(a²)] / [(2a)(a + 1)]

(4a³ + 4a²) / (2a² + 2a)

2a(2a² + 2a) / 2a(a + 1)

(2a² + 2a) / (a + 1)

2a(a + 1) / (a + 1)

= 2a

Therefore, the expression that is equivalent to (4a + 4)/2a × a²/(a + 1) is: 2a.

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Answer:

x = -2

Step-by-step explanation:

Solve for x:

(2 (3 x - 4))/5 = -4

Multiply both sides of (2 (3 x - 4))/5 = -4 by 5/2:

(5×2 (3 x - 4))/(2×5) = -4×5/2

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) (3 x - 4) = -4×5/2

5/2 (-4) = (5 (-4))/2:

(5×2 (3 x - 4))/(2×5) = (-4×5)/2

(5×2 (3 x - 4))/(2×5) = (2×5)/(2×5)×(3 x - 4) = 3 x - 4:

3 x - 4 = (-4×5)/2

(-4)/2 = (2 (-2))/2 = -2:

3 x - 4 = 5×-2

5 (-2) = -10:

3 x - 4 = -10

Add 4 to both sides:

3 x + (4 - 4) = 4 - 10

4 - 4 = 0:

3 x = 4 - 10

4 - 10 = -6:

3 x = -6

Divide both sides of 3 x = -6 by 3:

(3 x)/3 = (-6)/3

3/3 = 1:

x = (-6)/3

The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

Answer:  x = -2

Step-by-step explanation:

HERE IS HOW YOU COULD SOLVE IT !!

Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.

WHICH THE ANSWER WOULD BE x= -2

Answer:

[tex]37.5^{\circ}\,,\,60^{\circ}\,,\,82.5^{\circ}[/tex]

Step-by-step explanation:

Given: measures of the angles in a triangle are [tex]1.5x,2.4x,3.3x[/tex]

To find: equation to determine the measure of each angle in the triangle and exact measure of each angle in the triangle

Solution:

According to angle sum property, sum of angles of a triangle is [tex]180^{\circ}[/tex]

So, equation to determine the measure of each angle in the triangle is [tex]1.5x+2.4x+3.3x=180^{\circ}[/tex]

[tex]1.5x+2.4x+3.3x=180^{\circ}\\7.2x=180^{\circ}\\x=\frac{180^{\circ}}{7.2}=25^{\circ}[/tex]

So,

[tex]1.5x=1.5(25^{\circ})=37.5^{\circ}\\2.4x=2.4(25^{\circ})=60^{\circ}\\3.3x=3.3(25^{\circ})=82.5^{\circ}[/tex]

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Approximate the value of [tex]\sqrt{11}[/tex] to the nearest tenths place. Plot the approximation on the number line.

(Please have a look at the attached photo)

My answer:

The value nearest tenths place of [tex]\sqrt{11}[/tex] is: 3.3

Hope it will find you well.

Answer:

zero

Step-by-step explanation:

because it hasn't taken off. It is its starting position

Answer:

what is the question

Step-by-step explanation:

Answer:

r ≈ 6.71

Step-by-step explanation:

The distance from the centre of the circle to a point on it is the radius.

Calculate the radius r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (8, 2) and (x₂, y₂ ) = (14, - 1)

r = [tex]\sqrt{(14-8)^2+(-1-2)^2}[/tex]

  = [tex]\sqrt{6^2+(-3)^2}[/tex]

  = [tex]\sqrt{36+9}[/tex]

  = [tex]\sqrt{45}[/tex] ≈ 6.71 ( to 2 dec. places )

Final answer:

The radius of the circle with the center at (8, 2) and a point on the circle at (14, -1) is 6.71 units, after rounding to two decimal places.

Explanation:

To find the radius of a circle with a given center and point on the circle, we need to calculate the distance between these two points. This distance represents the radius. The center of the circle is at (8, 2) and the point on the circle is at (14, -1).

Using the distance formula, which is d = √((x_2 - x_1)^2 + (y_2 - y_1)^2), where (x_1, y_1) is the first point and (x_2, y_2) is the second point:

[tex]d = √((14 - 8)^2 + (-1 - 2)^2) = √((6)^2 + (-3)^2) = √(36 + 9) = √45[/tex]

When using a calculator that has an eight-digit output, √45 is approximately 6.70820393. However, if we are to report the answer with only two decimal places, we get the radius as 6.71 units.

It's important to note that significant figures play a role in determining the precision of our result. Even though the calculator can give us many decimal places, we often round the number to either preserve significant figures or because the extra precision is not materially important for estimation purposes. In this case, the radius to two decimal places is 6.71, despite the calculator's eight-digit output.

Answer: 1/2

Step-by-step explanation:12 is divided by 2

fraction that shows the number of hours Amy's dog sleeps is 1/2.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator and the bottom part is numerator.

Given is Amy's dog who sleeps for every 2 hours in the day.

Since Amy's dog sleep for 2 hours a day, then in a complete day he would sleep for 12 hours out of 24 hours. So, we can write the fraction as-

12/24 = 1/2

Therefore, fraction that shows the number of hours Amy's dog sleeps is 1/2.

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Answer:

this is the best way i could explain

Step-by-step explanation:

remember that the equation of a line is y = mx +b, where m is the slope and b is the y-intercept.

Start with your first point on the y-axis at -2.  Your slope is 1/2 (rise/run), so go up 1 and over 2 for your next point.  Keep going with this and you'll find your points.

Another way to find your y-values is to plug in the x's you have.  y = 1/2(2) - 2 = 1 - 2 = -1, so your first point is (2,-1). This should show up on your graph, as well.

What do you get when you plug in the 0?  Your answer should be your first point on your graph, since along the y-axis, x = 0.

The graph of the equation given is attached to the solution.

Given that, an equation y = 1/2 x - 2, we need to graph it,

So, for the same, we will first find the coordinates points,

Therefore,

y = 1/2 x - 2

Put y = 0,

1/2 x - 2 = 0

x = 4

The point = (4, 0)

Put x = 0,

y = -2

The point = (-2, 0)

Put the coordinates in the graph and join the points, we will have a straight line, this straight is the graph of the linear equation given,

That mean the equation is a linear equation.

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Answer:

-41.5, -36.3, -15, 36.1, 41.4, 42

Step-by-step explanation:

Final answer:

To order temperatures from coldest to warmest, place negative values first from smallest to largest, followed by positive values from smallest to largest. The correct order is -41.5, -36.3, -15, 36.1, 41.4, 42.

Explanation:

When comparing temperatures and ordering them from coldest to warmest, we need to recognize that negative temperatures are colder than positive temperatures. In °C or °F, lower negative values represent colder temperatures, and higher positive values represent warmer temperatures. Thus, to order the given temperatures from coldest to warmest: -41.5, -36.3, -15, 36.1, 41.4, 42.

Answer:

20.58 inches

Step-by-step explanation:

As the variable x represents the number of times the figure is enlarged, to find the length of the image after it has been enlarged 3 times, we just need to use the function f(x) with the value of x = 3:

f(x) = 3 * (1.9)^x

f(3) = 3 * (1.9)^3

f(3) = 3 * 6.859

f(3) = 20.577 inches

Rounding to nearest hundredth, we have f(3) = 20.58 inches

So the length of the image after being enlarged 3 times is 20.58 inches

Answer:

4x9=36

Step-by-step explanation:

36

Answer:

36 sq ft.

Step-by-step explanation:

To solve for the area of a rectangle, all you need to do is multiply the length by the width which gives you:

4×9= 36 sq ft.

Answer:

see below

Step-by-step explanation:

4d>16

Divide each side by 4

4d/4 >16/4

d >4