Amelia wants to put wood shavings in her ferret​'s cage. The floor of the cage measures 1 yard wide by 9 feet long. One bag of shavings covers 5 square feet. How many bags will Amelia have to buy to cover the floor of the​ cage?

Answer:

Using the combination formula, the number of different committees with 4 members that can be formed from a group of 9 students and order is not important, would be: 9C4 = 126

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Answer:

X = -2

Y = 5

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius.

The circumference of a circle can be found using the formula C = 2πr, where C represents the circumference and r is the radius of the circle.

For example, if the radius of the circle is 5cm, the circumference would be C = 2π(5) = 10π cm. It is important to note that the circumference is always given in terms of π, which represents the mathematical constant.

Therefore, the circumference of a circle can be calculated by multiplying the radius by 2π.

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Answer:

1,2,5

Step-by-step explanation:

Answer:

1,2,5

Step-by-step explanation:

Answer:

The sandcastle B has the greatest volume

Step-by-step explanation:

The volume of a pyramid is given by the following formula:

V = (1/3) * A * h

Where A is the base area and h is the height.

Now we can calculate the volume of both pyramids:

V1 = (1/3) * 30 * 6 = 60 in3

V2 = (1/3) * 24 * 8 = 64 in3

So the volume of the pyramid B is bigger than the volume of the pyramid A.

Answer:

2,400 cm3

Step-by-step explanation:

If the dimensions of the rectangular prism are 25 cubes, 6 cubes and 16 cubes, and each cube has 1 centimeters, the dimensions in centimeters are:

25 cm, 6 cm and 16 cm.

Then, to find the volume of the rectangular prism, we just need to multiply all three dimensions:

Volume = 25 * 6 * 16 = 2,400 cm3.

Answer:

-3 and 12 are the answer

Step-by-step explanation:

-3 times 12 is - 36 and

-3 plus 12 is 9

Hope this helps ;)

The two unknown numbers are x=-3 and y=12.

Let the two unknown numbers be x and y.

Two numbers that multiply to -36 and add to 9.

xy=-36 -------(i)

x+y=9 -------(ii)

x=9-y -------(iii)

Substitute x=9-y in equation (i), we get

(9-y)y=-36

9y-y²=-36

y²-9y-36=0

y²-12y+3y-36=0

y(y-12)+3(y-12)=0

(y-12)(y+3)=0

y-12=0

y=12

Substitute y=12 in equation (ii), we get

x=-3

Therefore, the two unknown numbers are x=-3 and y=12.

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Answer:

x = (y - b)/m

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First subtract b from both sides:

y = mx + b

y (-b) = mx + b (-b)

y - b = mx

Next, divide m from both sides:

(y - b)/m = (mx)/m

x = (y - b)/m

x = (y - b)/m is your answer.

~

Step-by-step explanation:

X + x + x + x = 4x

4x = 4x

It is true

Answer:

1% of 800 is 8, while 2% of 800 is 16

Step-by-step explanation:

Please mark brainliest :)

Answer:

1% of 800 is 8

2% of 800 is 16

Step-by-step explanation:

Area of a rectangle is length x width.

Let the width = x

The length would be x +7. ( 7 inches longer than the width)

Area = 20

Set up the formula:

20 = x * x+7

Simplify the right side:

20 = x^2 + 7x

Subtract 29 from both sides:

X^2 + 7x -20 = 0

Solve using the quadratic equation

X = -b + sqrt(b^2 -4ac) / 2a

X = -7 + sqrt(7^2-4(1)(-20) / 2(1) (exact answer)

X = 2.178908 ( as a decimal)

The width is 2.178907 inches (round as needed)

The length would be 9.178907 inches ( round as needed.)

Depending on how you round, when you multiply them together you get approximately 20 square inches.

Step-by-step explanation:

Step 1:  Find the dimensions

l = 7 + w

Area = 20

Find width

[tex]A = l * w[/tex]

[tex]20 = (7 + w)(w)[/tex]

[tex]20 - 20 = 7w + w^2 - 20[/tex]

[tex]w^2 + 7w - 20 = 0[/tex]

[tex]w=\frac{-(7)\pm\sqrt{(7)^2-5(1)(-20)}}{2(1)}[/tex]

[tex]w = 2.17890...[/tex]

Find length

[tex]l = 7 + w[/tex]

[tex]l = 7 + 2.17890...[/tex]

[tex]l = 9.17890...[/tex]

Answer: [tex]Width = 2.17890..., Length = 9.17890...[/tex]

Answer:

32.5% off

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

-6*5=-30

The value of the x is -30 or the value of the number expression is -30 after performing the arithmetic operation the answer is -30.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that;

The number expression is:

= 5(-6)

Let x  be the value of the expression;

x = 5(-6)

After performing the arithmetic operation:

x = -30

Thus, the value of the x is -30 or the value of the number expression is -30 after performing the arithmetic operation the answer is -30.

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-2x means -2*x or "-2 times x" where x is a placeholder for any number you want.

To graph y = -2x, you just need two points. Each point is of the form (x,y)

Let's plug in zero as it is often the easiest to work with.

If x = 0, then -2*x = -2*0 = 0. Notice how I replaced x with 0 and simplified.

Therefore, if x = 0, then y = 0. We have (x,y) = (0,0) as one point on this line. I have marked it as point A in the graph.

Point B is (1, -2) and it is found by plugging x = 1 into the equation to get...

y = -2x

y = -2*1

y = -2

You could find other points, but two points is enough to draw a straight line through them. The slope of this line is -2 = -2/1. The y intercept is 0.

Answer:

The volume of the sphere is [tex]0.415\ \text{inch}^3[/tex].

Step-by-step explanation:

The diameter of a sphere is 0.926 inch. It is required to find the volume of the sphere. The formula used to find the volume of sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Since, r is radius, r = d/2 = 0.463 inch

So,

[tex]V=\dfrac{4}{3}\times 3.14\times (0.463)^3\\\\V=0.415\ \text{inch}^3[/tex]

So, the volume of the sphere is [tex]0.415\ \text{inch}^3[/tex].

Answer:

a=8

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 +15^2 = 17^2

a^2 +225 = 289

Subtract 225 from each side

a^2 +225-225=289-225

a^2 = 64

Take the square root of each side

sqrt(a^2) = sqrt(64)

a = 8

Answer:

8

Step-by-step explanation:

Using the Pythagorean theorem, you can find that the missing side length is [tex]\sqrt{17^2-15^2}=8[/tex] units. Hope this helps!

Answer:

The box has a total volume of 36 cubic inches.

Step-by-step explanation:

The total volume of the box is given by the volume that is filled with books plus the volume that doesn't have any books in it. Therefore, in order to solve this problem we must sum the two volumes. We have:

total volume = volume with books + volume without books

total volume = 24 + 12

total volume = 36 cubic inches

The box has a total volume of 36 cubic inches.

Answer: $7.19

Step-by-step explanation:

28.76/4=7.19

Answer:

[tex]v=3[/tex]

Step-by-step explanation:

[tex]-2v+2=-7v+17[/tex]

[tex]-2v+2-2=-7v+17-2\\-2v=-7v+15\\-2v+7v=-7v+15+7v\\5v=15\\v=3[/tex]

Answer:

x^3  <-- exponent, x to the power of three

Explanation:

x(x+2)(x+4)

=(x(x+2))(x+4)

=(x(x+2))(x)+(x(x+2))(4)

=x^3+2x^2+4x^2+8x

=x^3+6x^2+8x

Step-by-step explanation:

x(x+2)(x+4)

first get rid of the bracket

x square +2x+x+4

x^2 + 3x + 4

Answer:

1.79 radians to the nearest hundredth.

Step-by-step explanation:

To covert, we multiply degrees by π/180

so radians = 102.48 * π/180

= 1.7886 radians.

9514 1404 393

Answer:

  P = 8

Step-by-step explanation:

The "varies inversely" relation can be expressed by the equation ...

  P = k/x

For the given values, we can find k to be ...

  k = Px = (7)(8) = 56

Then for the new value of x, we have ...

  P = 56/x = 56/7

  P = 8

Final answer:

P varies inversely with x and given P=7 when x=8, the constant of variation k is determined to be 56. Using this constant, the value of P when x=7 is calculated to be 8.

Explanation:

The student's question relates to the concept of inverse variation in mathematics. The relationship between two variables is described as inversely proportional if their product is constant. In the given scenario, P varies inversely with x and the student provided a specific condition where P = 7 when x = 8. Therefore, using the constant of variation k, the equation can be written as P = k/x. To find the constant of variation, we use the provided values:

Now with the constant k found, to calculate the value of P when x = 7, we set up the equation:

Therefore, the value of P when x = 7 is 8.

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To find slope of two points we will need to use this equation:   [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

 [tex]x^1[/tex]     [tex]x^2[/tex]     [tex]y^1[/tex]    [tex]y^2[/tex]  

( 6 , -12 ) ( 15 , -3 )

Now let's replace the equation with the numbers. (it will be a fraction).

[tex]\frac{-3-(-12)}{15-12}[/tex]         =         [tex]\frac{9}{9}[/tex]

The equation equals 9 over 9, which also equals 1.

The slope of the line is 1.

9514 1404 393

Answer:

  83.5π ft² ≈ 262.3 square feet

Step-by-step explanation:

Fido's area is 3/4 of a 10' radius circle plus 1/4 each of a 3' radius and 5' radius circle.

  A = (3/4)(π(10 ft)²) +(1/4)(π)((3 ft)² +(5 ft)²)

  = (75π +34/4π) ft² = 83.5π ft² ≈ 262.3 square feet

Answer:

approximately 262.3 square feet

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

12x8=96

Answer:

15 people

Step-by-step explanation:

if each person eats 8 pieces of pizza, 12 people can be served because 8 slices are in 1 pizza and he ordered 12 pizzas.

Answer:

x= 71, y= 19.

Step-by-step explanation:

To solve this, we will need to set up an algebraic equation. Since y is the smaller number, we can think of x in terms of y:

x= 3y+14

We can substitute this in the equation to get:

90= y+3y+14.

Simplifying this will give us:

76= 4y.

When solved, we get the value of y (the smaller number) to be 19.

To solve for x, we must plug this into the equation giving us:

x= 3(19)+14

x= 71.

Answer: x+y=90;x=14+3y

71, 19

Step-by-step explanation:

Answer:

  9 3/4 . . . . (for the numbers shown)

Step-by-step explanation:

Each number in the table is the product of the number in the left margin and the number in the top margin:

  9 = 3·3

  3/4 = 3·1/4

The total of these numbers in the table is the Area value being asked for.

  9 + 3/4 = 9 3/4

_____

If there is more to the question that isn't shown, you will need to add those partial products to the total, too. We presume you know how to add fractions and mixed numbers.

Answer:

Part A: 32 square yards per gallon

Part B: 13 square feet per gallon difference

Step-by-step explanation:

Part A:

To find how many square yards each gallon covers, you have to divide 42 2/3 by 1 1/3, which equals 32. That means each gallon of paint covers 32 square yards.

Part B:

First, you have to convert how much Angela covered in square yards to square feet. Since one square yard is equal to 9 square feet, we have to multiply 32 by 9, which equals 288. To find the difference, you have to subtract 288 - 275, which equals 13.

Final answer:

Angela's rate of paint coverage in square yards per gallon is 32, and the difference in square feet per gallon between Angela’s rate and the average rate on the paint label is 13 square feet per gallon.

Explanation:

Part A: Calculating Paint Coverage

To find Angela’s rate of paint coverage in square yards per gallon, we would divide the total area painted by the amount of paint used. We have 42 2/3 square yards painted using 1 1/3 gallons of paint. First, it's easier to work with improper fractions, so we convert 42 2/3 to (126/3 + 2/3) = 128/3 square yards, and 1 1/3 to (3/3 + 1/3) = 4/3 gallons. Now, we calculate the rate by dividing the square yards by the gallons:

Rate = ​(128/3) / (4/3) = (128/3) × (3/4) = 128/4 = 32 square yards per gallon.

Part B: Difference in Square Feet per Gallon

To find the difference in square feet per gallon, we need to compare Angela's rate to the average rate given on the label. Angela's rate is 32 square yards per gallon, and there are 9 square feet in a square yard. So, Angela's rate in square feet would be 32 × 9 = 288 square feet per gallon. The label states an average coverage rate of 275 square feet per gallon. Thus, the difference is:

Difference = Angela’s rate - Label’s rate = 288 - 275 = 13 square feet per gallon difference.

Answer:

what is it over?

Step-by-step explanation:

you have to be more specific

Answer:

Point D

Step-by-step explanation: