an aquarium tank is 3 feet long, 1 foot wide, and 2 feet high. how many gallons of water would it take to fill the tank two-thirds full?

Answer:

n = -9

Step-by-step explanation:

4(0.5n -3) = n-0.25 (12 - 8n)

First use the Distributive Law to expand the parentheses:-

2n - 12 = n - 3 + 2n

2n - 12 = 3n - 3

Subtract 2n from both sides:-

-12 = n - 3

Add 3 to both sides:-

-9 = n

Answer:

1600 items should not be defective

Step-by-step explanation:

To determine the number of items that are not defective, we multiply the number of items we have by the probability that they are not defective.

Not defective items = items * probability

                                 = 2000 * 4/5

                                    1600

Answer:1600

Step-by-step explanation:

Answer:

see below  please give brainliest

Step-by-step explanation:

X times cost = Y

If he doesn't sell any books than he doesn't make any money.  Each time he sells a book his pay will go up the cost of the book.

Answer:

All you have to do is subtract 1500-785 in order to find the number of minutes left for him.

1500-785=715 more minutes left

The liquid height in the new cylinder will be 4 cm after the volume of liquid from the original cylinder is transferred.

In the context of this problem, we are dealing with the concept of the volume of a cylinder. The volume of a cylinder is given by the formula V=πr²h, where r is the radius of the base and h is the height of the cylinder. The given volume in the problem is 36π cm³ and the radius of the second cylinder is 3 cm. We will use the volume formula to find the height.

We know that V=36π cm³ and r=3 cm. Substituting these values into the volume formula, we get 36π=π(3)²h. Simplifying the equation gives us 36π=9πh. Dividing both sides by 9π, we arrive at the solution, h=4 cm. Therefore, the height of the liquid in the new cylinder will be 4 cm.

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Answer:

A

Step-by-step explanation:

74,000 x .48 = 35520. 35520 is the amount of property you have to pay for.

35520 x 0.031 = 1,101.12.  1.101.12 is the amount you owe in property tax.

The amount owed in property tax to the nearest dollar is $1,101

In real estate management, the market price is the price at which a buyer is willing to pay and which the seller is as agreed to receive at the present time.

From the parameters given:

From the property, the required amount of property to be paid for is:

= $74000 × 0.48

= $35520

If the state property tax rate is 0.31, the amount owe in property tax is:

= $35520 × 0.031

= $1,101

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Answer:

Solution for (a)

Earlier Copper pennies are 22.

After 1983 pennies are 28.

Step-by-step explanation:

Pennies minted after 1983 weigh 2.50g

Earlier copper pennies weigh 3.11g

A roll of pennies contains 50 pennies.

A particular roll of pennies weighs 138.42g

Let the number of pennies minted after 1983 be x and;

Earlier copper pennies be 50 - x

2.50x + 3.11(50 - x) = 138.42

Opening the brackets gives;

2.5x + 155.5 - 3.11x = 138.42

Solving like terms together gives;

-0.61x = -17.08

Dividing through gives;

x = 28

So there are 28 after 1983 pennies and;

50 - 28 = 22 earlier pennies.

The percentage of its capacity is the large container​ filled will be 87.5%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

A large container has a maximum capacity of 64 ounces.

And, The container is filled with 8 ounces less than its maximum capacity.

Now,

Calculate the percent of its capacity is the large container​ filled as;

Percent = (64 - 8) / 64  x 100

            = 56/64 x 100

            = 87.5%

Thus, The percentage of its capacity is the large container​ filled will be 87.5%.

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The complete question is this;

A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. To what percent of its capacity is the large container​ filled?

Answer:

x=56 and the exterior angle is 116

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +4) form a straight line so they make 180 degrees.

y + 2x+4 =180

Solve for y by subtracting 2x+4 from each side.

y + 2x+4 - (2x+4) =180 - (2x+4)

y = 180-2x-4

y = 176-2x

The three angles of a triangle add to 180 degrees

x+ y+ 60 = 180

x+ (176-2x)+60 = 180

Combine like terms

-x +236=180

Subtract 236 from each side

-x+236-236 = 180-236

-x = -56

Multiply each side by -1

-1*-x = -56*-1

x=56

The exterior angle is 2x+4.  Substitute x=56 into the equation.

2(56)+4

112+4

116

Answer:

B) 2

Step-by-step explanation:

Given expression,

48 ÷ ((2 + 6) × 2) − 1

In simplification we follows the following order,

B = Bracket

O = Of

D = Division

M = Multiplication

A = Addition,

S = Subtraction,

Thus, steps of solving the given expression by following BODMAS are as follow,

[tex]\frac{48}{(2 + 6) \times 2}-1[/tex]

[tex]=\frac{48}{8\times 2}-1[/tex]

[tex]=\frac{48}{16}-1[/tex]

[tex]=3-1[/tex]

[tex]=2[/tex]

Hence, OPTION B is correct.

The value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is B) 2.

To solve this problem, we need to follow the order of operations (also known as PEMDAS or BODMAS).

First, we calculate the expression inside the parentheses: 2 + 6 = 8.

Next, we multiply the result by 2: 8 × 2 = 16.

Finally, we divide 48 by the result: 48 ÷ 16 = 3.

After that, we subtract 1: 3 - 1 = 2.

Therefore, the value equivalent to 48 ÷ ((2 + 6) × 2) - 1 is 2.

Answer:

C. 12  

Step-by-step explanation:    

We have been given a scatter plot and trend line equation for the length of name plates (y) in inches for number of letters (x).

The given equation is: [tex]y=1.75x+0.5[/tex]

To find number of letters in a number plate that is 22 inches long we will substitute y=22 in our given equation.

[tex]22=1.75x+0.5[/tex]

[tex]22-0.5=1.75x+0.5-0.5[/tex]

[tex]21.5=1.75x[/tex]

[tex]x=\frac{21.5}{1.75}[/tex]

[tex]x=12.2857142857142857\approx 12[/tex]    

Therefore, the company can have 12 letters on 22 inches long name plate and option C is the correct choice.

Answer:

C.  12

Step-by-step explanation:

If a point is on the graph of the exponential equation then it should be true when you solve.

g(x) = (1/5)^x

y = (1/5)^x

1/125 = (1/5)^3

cbrt(1/125) = 1/5

.2 = 1/5

.2 = .2 YES

5 = (1/5)^-1

5 = 5 YES

1/25 = (1/5)^-2

-2root(1/25) = 1/5

5 = 1/5 NO

0 = (1/5)^1

0 = .2 NO

The correct answers are A and B.

This is about understanding input and output of a graph.

Correct Points are;

Option B; (-1, 5) and Option A; (3, 1/125)

x is the input value which is on the x-axis

g(x) is the output value which is on the y-axis

This will follow a coordinate writing system of (x, y)

Let us put 3 for x in the function;

y = (1/5)³

y = 1/125

y = 1/125 corresponds to y = 1/125 and so it is correct.

Option B; (-1, 5) means that when x = -1, y = 5

Let us put -1 for x in the function;

y = (1/5)⁻¹

y = 5

y = 5 corresponds to y = 5 and so it is correct.

Let us put 3 for x in the function;

y = (1/5)⁻²

y = 25

y = 1/25 doesn't correspond to y = 25 and so it is not correct.

Let us put 1 for x in the function;

y = (1/5)¹

y = 1/5

y = 0 doesn't correspond to y = 1/5 and so it is not correct.

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First, by using the distance formula for just one side, we can find the length of all sides (a square has 4 equal sides.) Then, we can apply the area of a square formula, which is a^2.

Distance formula:

[tex]\sqrt{(x.2 - x.1)^{2} + (y.2 - y.1)^{2}}[/tex]

√((-2 + 5)^2 + (-8 + 4)^2)

√((3)^2 + (4)^2)

√9 + 16

√25

5

The side lengths of the square are each equal to 5, and by applying the formula for area, we can find the area of the square.

5^2 = 25

Solution:

Considering  room to be in the shape of Cuboid as well as the Bed to be in the shape of Cuboid.

Dimensions of Room

Let Length of cuboid which is in the shape of room = L

Breadth of cuboid which is in the shape of  room = B

Height of cuboid which is in the shape of room = H

Considering, L>B>H

Dimension of Bed

Length=[tex]\frac{L}{6}[/tex] units

Breadth=[tex]\frac{B}{4}[/tex] units

Height=[tex]\frac{H}{6}[/tex] units

Taking one corner at origin i.e (0,0,0)

You can keep your bed at any place inside the room, but you want your bed to be at that place inside the room where the window is located so that proper ventilation and sunlight can enter your room.

Taking bed to be in the middle of room near the window and considering it's upper face

Distance from one corner i.e from length= B- [tex]\frac{B}{4}[/tex]=[tex]\frac{3B}{4}[/tex] Units

Distance from other corner=  0 Units

Distance from Breadth of one side of wall= [tex]\frac{L}{3}[/tex] units

Distance from one corner i.e from Breadth =L - [tex]\frac{L}{3}[/tex]-[tex]\frac{L}{6}[/tex]= [tex]\frac{L}{2}[/tex]

Distance from floor i.e surface=[tex]\frac{H}{6}[/tex] units

Distance from Ceiling= H -[tex]\frac{H}{6}[/tex] = [tex]\frac{5 H}{6}[/tex] units

To find the distance each bed edge should be from the corner in a scale drawing, determine the scale used (such as 1 inch = 6 feet), convert actual bed dimensions using the scale, and ensure measurements on the drawing are precise and noted with the correct line types.

To determine how far each edge of the bed should be from its own corner of the wall in a scale drawing, first establish the scale being used for the model. For example, if the scale is 1 inch = 6 feet, convert the actual dimensions of the bed into the scale size by using ratios that compare the scale distance to the actual distance. If the actual bed is 6 feet long, then the length on the scale model would be 1 inch. When recording measurements, both the actual size and the scale size should be clearly marked to prevent confusion. It is important to use correct line types and to make all the drawings to exact measurements within the constraints of the paper size.

For consistent and accurate representation, the edges of the bed should be measured from the corner of the walls based on the determined scale. This involves calculating the distance of the bed from the wall in actual size, then converting that distance to the scale model size. Pay attention to significant figures and the choice of units (inches, feet, centimeters, meters) to maintain precision in your scale drawing.

Answer:

60

Step-by-step explanation:

We can first define the variables as hh for the number of Harry's toys on Monday and tt for the number of Teddy's toys on Monday.

We know that on Monday, Harry had 75\%75% as many toys as Teddy, so we can write the following equation:

\qquad h=0.75th=0.75t

Hint #2

When we add 3232 toys to Harry's collection, we get h+32h+32. We can also make an adjustment to Teddy's collection, as he acquired 15\%15% more. We can represent that as 1.15t1.15t, as we should add 15\%15% to 100\%100% to get a percent increase.

Now let's make an equation for Tuesday:

\qquad h+32=1.15th+32=1.15t

Hint #3

We also know that h=0.75th=0.75t from the first equation, so we can substitute that in.

\qquad 0.75t + 32 = 1.15t0.75t+32=1.15t

Let's solve by first subtracting 0.75t0.75t from both sides.

\qquad 32 = 0.4t32=0.4t

We can then divide by 0.40.4 to solve for tt, and when we do that, we find that t=80t=80.

Hint #4

Since t=80t=80, we must substitute it into another equation to find hh (the number of toys Harry had on Monday). Let's pick the first equation.

\qquad h=0.75th=0.75t

\qquad h=0.75(80) = 60h=0.75(80)=60

Hint #5

Harry had 60 toys on Monday.

Answer:

b+9

Step-by-step explanation:

(b + 3) + 6 = b + (3 + 6) = b + 9

Answer:

(0, - 4)

Step-by-step explanation:

What you are looking for is the y value when x = 0. So make x = 0 in the original equation.

3x - 4y = 16

3(0) - 4y = 16

- 4y = 16                 Divide by -4 on both sides.

-4y/- 4 = 16/-4        Do the division.

y = - 4

The number that divided by 70 results in a quotient of 5 with a remainder of 14 is 364. This can be calculated using the division algorithm formula 'Dividend = Divisor* Quotient + Remainder'.

The division mentioned in the question can be represented using the division algorithm formula:  Dividend = Divisor* Quotient + Remainder.

In your problem, the divisor is 70, the quotient is 5, and the remainder is 14. To find the dividend (which is the number you are trying to find), you simply substitute these values into the formula:

Dividend = 70*5 + 14

So, Dividend = 350 + 14 = 364.

Therefore, the number that when divided by 70, gives a quotient of 5 with the remainder of 14 is 364.

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I hope this helps.

Y - 4 = 4 ( X-0)

So the main equation is

Y - y1 = m ( X - x1 )

Y1 = 6

M (slope) = 4

X1 = 0

Answer: 47 (choice B)

x+43 = 90

x = 90 - 43

x = 47

This works because triangle PQR is a right triangle (with angle Q as the 90 degree angle). We say that that P and R are complementary angles. I added point R to be located where the angle x is written.

Answer:

47

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

linear is a straight line

Answer:

i dont understand but this is what i got from it

I think it b because p and q haves 4 T and 4 F and when formated with -q and -p it makes T(times 3) F(1)

Answer:

B.  

p   q   ~q   p ∧ ~q  

T T F F

T F T T

F T F F

F F T T

Step-by-step explanation:

Answer:

Its Option C

Step-by-step explanation:

The difference is 180 - 135 = $45

So  it is 45 * 100 / 135  

= 33.33% greater

Answer: Its Option C

Step-by-step explanation:

Answer:

Triangles are congruent because all the corresponding sides and interior angles are congruent.

Step-by-step explanation:

In ΔWXY  and ΔBCD

Given Sides are congruent:

[tex]WX \cong BC[/tex]  

[tex]XY \cong CD[/tex]

[tex]YW \cong DB[/tex]

Also,

Angles are congruent i,e:

[tex]\angle W \cong \angle B[/tex]

[tex]\angle X \cong \angle C[/tex]

[tex]\angle Y \cong \angle D[/tex]

By congruence statement: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then those triangles are congruent.

[tex]\triangle WXY \cong \triangle CBD[/tex]

Therefore, we can say the two triangles WXY and BCD are congruent because every corresponding side are of equal length and every corresponding angle has the same measure.

The given triangles WYX and BDC are congruent as all the sides as well as the angles are equal.

From the given figures,

[tex]WY=BD\\WX=BC\\YX=DC[/tex]

Also,

[tex]\angle{W}=\angle{B}\\\angle{Y}=\angle{D}\\\angle{X}=\angle{C}[/tex]

Hence, the triangles WYX and BDC are congruent to each other.

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Answer:

17.4076456756

Step-by-step explanation: