In 2016, a school started its own aquarium with x fish. In 2019, there were x3 fish in the same aquarium. There were 512 fish in 2019. How many fish were there in 2016? Show your work.

Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Answer:

16.5 m/s

Step-by-step explanation:

Answer: $94.50

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To check if (2,3) is a solution to the system of equations, we simply have to plug the coordinate points into the two equations and see if it is valid.

\(2*2+5*3=\\4+15=\\19\\\\19=19\)

(2,3) belongs in the first equation.

\(2+16*3=\\2+48=\\50\\\\50\neq 5\)

(2,3) does not belong in the second equation.

Therefore, (2,3) is not a solution to this system of equations.

I hope this helps! Let me know if you have any questions :)

Answer:

10.5 percents

Step-by-step explanation:

1)100+30=130 percents;

2) 130/100*15=19.5percents of discount from the first price

3) 130-19.5=110.5 percents- new price from the initial price

4)110.5-100=10.5 percents - the percentage of profit

Answer:

\(x=12\)

Step-by-step explanation:

By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for \(x\):

\(10x+60=180,\\10x=120,\\x=\boxed{12}\)

Answer:

x=12

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

10x+60=180

Subtract 60 from both sides:

10x=120

Divide 10 to both sides:

x=12

Step-by-step explanation:

we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem

the length of the side opposite the 30 angle is 17/2

talking about exercise on the photo the answer is

8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.

Now lets use pythagorean theorem

x^2+y^2=z^2

z is hypotenuse

8^2+y^2=16^2

64+y^2=256

y^2=256-64

y^2=192

y=8√3

Answer:

44,650

Step-by-step explanation:

To calculate the 19% down payment on a house priced at $235,000, you can use the formula:

Down Payment = Purchase Price x Down Payment Percentage

where Down Payment Percentage is the percentage of the purchase price that you will be paying as a down payment.

In this case, the down payment percentage is 19%, or 0.19 as a decimal. So:

Down Payment = $235,000 x 0.19

Down Payment = $44,650

The algebraic expression for "three more than twice a number" is translated as: 2n + 3.

An algebraic expression is a mathematical statement that is written to represent a phrase, using alphabets as variables of the algebraic expression, operation signs and numbers.

Given the phrase "three more than twice a number", we can represent the number using the variable, x.

Therefore:

Twice the number, n, would be: 2n

3 more than 2n would be translated as: 2n + 3.

The whole phrase, translated into algebraic expression is expressed as: 2n + 3.

Conclusively, the algebraic expression for "three more than twice a number" is translated as: 2n + 3.

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Answer:

\(\frac{3}{5}\)

Step-by-step explanation:

To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly

so \(\frac{12}{20}\) ÷ \(\frac{4}{4}\)=\(\frac{3}{5}\) ( Divide Across)

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer:

b=6

\(a^{2} + b^{2} = c^{2} \\ {8}^{2} + {b}^{2} = {10}^{2} \\ 64 + {b}^{2} = 100 \\ 100 - 64 = {b}^{2} \\ 36 = {b}^{2} \\ \sqrt{36} = \sqrt{ {b}^{2} } \\ 6 = b\)

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Next all three balls toll after 60 minutes, that is 12:00 PM.

Given that, Three balls toll at an intervals of 10 minutes, 15 minutes and 20 minutes.

They toll together all 11:00 am.

Take LCM of three different intervals. That is,

10= 2×5

15=3×5

20=2×2×5

So, the LCM is 2×2×3×5= 60

Means all three balls toll after 60 minutes, which is 12:00 PM.

Therefore, next all three balls toll after 60 minutes, that is 12:00 PM.

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Answer:

80

Step-by-step explanation:

The total of 80 items were stocked for that week.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solve equation for x to find the total number of sale items stocked on the shelves of a toy store for a certain week:

x = 0.7x + 24

We need to find How many total items were stocked for that week

Solving;

x = 0.7x + 24

x - 0.7x = 24

0.3x = 24

x = 80

Therefore, the total of 80 items were stocked for that week.

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Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

Answer:

−13x+18

Step-by-step explanation:

=−4x+(−9)(x)+(−9)(−2)

=−4x+−9x+18

Combine Like Terms:

=−4x+−9x+18

=(−4x+−9x)+(18)

=−13x+18

Answer:

\( = - 4x - 9(x - 2) \\ = - 4x - 9x + 18 \\ = - 13x + 18\)

Answer:

37.592 cm

Step-by-step explanation:

Answer:

you just did

Step-by-step explanation:

Expanding the function expression f(x) = x^2 - 1, we get f(x) = (x - 1)(x + 1)

From the question, we have the following parameters that can be used in our computation:

f(x) = x^2 - 1

The above expression can be expanded using the difference of two squares

When this theorem is applied, we have

f(x) = (x - 1)(x + 1)

Hence, the function expression f(x) = x^2 - 1 when expanded is f(x) = (x - 1)(x + 1)

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Expanding the function expression f(x) = x^2 - 1, we get f(x) = (x - 1)(x + 1)

From the question, we have the following parameters that can be used in our computation:

f(x) = x^2 - 1

The above expression can be expanded using the difference of two squares

When this theorem is applied, we have

f(x) = (x - 1)(x + 1)

Hence, the function expression f(x) = x^2 - 1 when expanded is f(x) = (x - 1)(x + 1)

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If water flows into the container at a constant rate of 6 cubic feet per minute, the rate at which the water level rising when the height of the water is 5 feet is; 0.688 ft/min

When we are given an equation that gives the relationship between two or more variables, then by differentiating the equation with respect to time would give us a new equation that involves the rate of change of each of the given variables.

We are given the dimensions of the tank as;

Radius; r = 4 feet

Height; h = 12 feet.

The water in the tank will also have a conical shape.

By similar triangles, we know that;

r/h = 4/12

r = h/3

Now the volume of the water is;

V = ¹/₃πr²h

Put h/3 for r in this volume equation to get;

V = ¹/₃π(h/3)²h

V = (1/27)πh³

Differentiating with respect to time gives;

dV/dt = (3/27)πh²(dh/dt)

We are given;

dV/dt = 6 cubic feet per minute

h = 5

Thus;

6 = (3/27)π(5²)(dh/dt)

dh/dt = 0.688 ft/min

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Answer:

C. x=2 ± √13

Explanation:

=========================================================

Explanation:

Along the top row, label the two triangles A and B.

In the bottom row, label the figures as C, D, E. We have C and E as the two surrounding triangles and D as the rectangle.

To find the area of triangle A, we need to find the horizontal side first. Use the pythagorean theorem to get 3 inches across the horizontal portion. We have a 3-4-5 right triangle. The area of triangle A is base*height/2 = 3*4/2 = 6 square inches. Triangle B is a reflected copy of triangle A, so it has the same area.

Triangle C has an area of base*height/2 = 1*5/2 = 2.5 square inches, so does triangle E because it is a mirrored congruent copy.

The rectangle D has an area of base*height = 4*5 = 20 square inches.

-----------------------

We have these areas:

To wrap things up, add up those areas

A+B+C+D+E = 6+6+2.5+20+2.5 = 37 square inches

Step-by-step explanation:

There are 8 possible spins  1- 8

  TWO of them are a 1 or an 8      2/8 = 1/4

Answer:

14.29%

Step-by-step explanation:

72/84 = 6/7

7/7-6/7 = 1/7

1/7 = approximately 14.29%

Answer:

114°

Step-by-step explanation:

The measure of an arc is double the measure of the angle between the chord and the tangent line.

Answer: 1

Step-by-step explanation:

2000 + (2000-2000)(2000) / 2000

2000 + (0)(2000) / 2000

2000 + 0 / 2000

2000 / 2000

1

Answer:

3 and one third %

3.3333%

Step-by-step explanation: