There are to photocopy machines in office. The first machine produces five copies in eight seconds. The second machine produces 16 copies and 24 minutes. Are the two machines making copies at the same rate?

Answer:

15.49 inches

Step-by-step explanation:

Volume of a cylinder is given by

[tex]V=\pi r^{2}h[/tex]

Making h the subject of the formula then

[tex]h=\frac {V}{\pi r^{2}}[/tex]

Where h is the height, V is volume and r is radius. Substituting 24.6 inches for r and 29468 cubic inches for V then

[tex]h=\frac {29468}{\pi 24.6^{2}}=15.493723673378\ in\approx 15.49\ in[/tex]

Therefore, the height is approximately 15.49 inches

The correct height of the cylinder that produces a volume of 29,468 in3 is 15 inches (Choice B).

To find the height of a cylinder with a volume of 29,468 cubic inches (in3) and a radius of 24.6 inches, we use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height.

Plugging in the known values, we get:
29,468 in3 = π(24.6 in)2h

Solving for h, the height of the cylinder, we perform the following steps:

Calculate the base area: Base Area = π(24.6 in)2

Divide the volume by the base area to find the height: h = Volume / Base Area

Calculate the height: h = 29,468 in3 / (π(24.6 in)2)

After performing the calculation, we conclude that the correct height of the cylinder that produces a volume of 29,468 in3 is 15 inches (Choice B).

Answer:

5.2 times 10^1

Step-by-step explanation:

the first number should be less than ten.

Answer: [tex]5.4[/tex] [tex]x[/tex] [tex]10^{1}[/tex]

Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.

So here, we have 5.4 and notice that there

is only one digit to the left of the decimal point.

Next, we count the number of places the decimal point would

need to move to get back to the original number, 54.

Since we would need to move the decimal point 1 place to the right,

we have an exponent of positive 1.

Now, scientific notation is always expressed as a number between 1 and 10 including 1 but not 10 and it is multiplied by 10 to a certain power that must be an integer.

So we have [tex]5.4[/tex] [tex]x[/tex] [tex]10^{1}[/tex]

Notice that the exponent is positive.

This is because we would need to move the decimal point to the right in order to get back to the original number.

So 54 can be written in

scientific notation as [tex]5.4[/tex] [tex]x[/tex] [tex]10^{1}[/tex].

Answer:

11y^2-26y

Step-by-step explanation:

8y(y - 4) + 3y(y+2)

8y^2-32y+3y^2+6y

11y^2-26y

Answer:

11y^2 -26y

Step-by-step explanation:

8y(y - 4) + 3y(y+2)

Distribute

8y^2 -32y +3y^2 +6y

Combine like terms

8y^2 +3y^2   -32y +6y

11y^2 -26y

The value of c is 3 units and TR is 29 units. Therefore, option D is the correct answer.

Given that, △STR≅△XYZ, TR=14c−13, and YZ=10c−1.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

We know that, corresponding parts of congruent triangles are equal.

Here, TR=YZ

⇒ 14c-13=10c-1

⇒ 14c-10c=-1+13

⇒ 4c=12

⇒ c=3 units

So, TR=14c-13

= 29 units

The value of c is 3 units and TR is 29 units. Therefore, option D is the correct answer.

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Answer:

should be $410.81 for living room

Step-by-step explanation:

13 x 15.5 x 12 = area

area x 2 = two coats of paint on area

two coats of paint on area divided by 400

multiply that by 33.98

Answer:

$135.92

Step-by-step explanation:

Just chose Bedroom 3 because it has whole numbers, none of the other rubbish.

The interior surface area of the bedroom can be calculated by the formula:

2lw + 2wh + 2lh

The surface area is 816 feet squared.

Since we are painting the room twice, we can just double this value for the sake of the next step.

The cost per gallon of paint is $33.98.

Each gallon covers 400 ft^2.

The number of gallons required is (816*2)/400, which is 4.08 gallons. If we approximate that we require 4 gallons, then the total cost will be $33.98*4 = $135.92.

Answer:

B. x

Step-by-step explanation:

-3x+8y=-6

3x-2y=-12

if we add these

-3x+3x+8y-2y=-6-12

6y=-12      so x will be eliminated

Final answer:

When solving a system by elimination, the variable eliminated is the one with coefficients that add up to zero when equations are combined.

Explanation:

When solving the following system by elimination, which variable would be eliminated after adding the 2 equations together?

When adding the two equations together in a system, the variable that will be eliminated will be the one that has coefficients with additive inverse values. For example, if one equation has x and the other has -x, adding them would result in the elimination of the x variable.

After adding the two equations together, look for a pair of variables that will cancel each other out, resulting in the elimination of one variable.

The area of the regular hexagon is 585 square centimeters.

A regular hexagon is a polygon with six equal sides and six equal angles. To find the area of a regular hexagon, you can use the formula:

[tex]\[ \text{Area} = \frac{3 \sqrt{3}}{2} \times \text{side length}^2 \][/tex]

However, in this case, the apothem (the distance from the center to the midpoint of a side) is given instead of the side length. The relationship between the apothem (\(a\)) and the side length (\(s\)) of a regular hexagon is given by:

[tex]\[ a = \frac{s}{2} \times \sqrt{3} \][/tex]

Rearranging this formula to solve for \(s\), we get:

[tex]\[ s = \frac{2 \times a}{\sqrt{3}} \][/tex]

Substituting this expression for \(s\) into the area formula, we get:

[tex]\[ \text{Area} = \frac{3 \sqrt{3}}{2} \times \left(\frac{2 \times a}{\sqrt{3}}\right)^2 \][/tex]

Simplifying further:

[tex]\[ \text{Area} = \frac{3 \sqrt{3}}{2} \times \frac{4 \times a^2}{3} \][/tex]

Canceling out common factors:

[tex]\[ \text{Area} = 2 \sqrt{3} \times a^2 \][/tex]

Now, substituting the given apothem ((a = 15) cm), we find:

[tex]\[ \text{Area} = 2 \times \sqrt{3} \times (15 \, \text{cm})^2 = 585 \, \text{cm}^2 \][/tex]

Therefore, the area of the regular hexagon is 585 square centimeters.

Answer:

(-6, -4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-5x + y = 26

2x - 7y = 16

Step 2: Rewrite Systems

-5x + y = 26

Step 3: Redefine Systems

y = 5x + 26

2x - 7y = 16

Step 4: Solve for x

Substitution

Step 5: Solve for y

Answer:

11.9

Step-by-step explanation:

just took the test :D

Answer:

The initial value is 300 bunnies

Step-by-step explanation:

we know that

The equation of a exponention growth function is given by

[tex]y=a(1+r)^x[/tex]

where

y is population of a bunnies

x is the number of years

a is the initial value

r is the rate of change

we have

[tex]a=300\\r=20\%=20/100=0.20[/tex]

substitute

[tex]y=300(1+0.20)^x[/tex]

[tex]y=300(1.20)^x[/tex]

therefore

The initial value is 300 bunnies

Answer: 8

Step-by-step explanation:

As per the given volume and radius of the cylinder, the height of the cylinder in the diagram is approximately 8 cm.

In order to determine the height of the cylinder in the given diagram, we first need to understand the formula for calculating the volume of a cylinder. The formula for the volume of a cylinder is

=> V = π * r² * h,

where V represents the volume, π is a constant (approximately equal to 3.14159), r is the radius, and h is the height of the cylinder.

In the provided information, we are given that the radius of the cylinder is 6 cm (radius = 6 cm) and the volume of the cylinder is 904.78 cm³ (V = 904.78 cm³).

Now, we can rearrange the volume formula to solve for the height (h) of the cylinder. Divide both sides of the formula by (π * r²):

h = V / (π * r²)

Substitute the known values:

h = 904.78 cm³ / (3.14159 * 6²)

h = 904.78 cm³ / (3.14159 * 36)

h = 904.78 cm³ / 113.09724

h ≈ 7.99998 cm

Rounding the answer to the nearest whole number, the height of the cylinder is approximately 8 cm.

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Answer:i think its 1,3,4

Step-by-step explanation:

Answer:

6 coins

Step-by-step explanation:

3 dimes

1 nickel

2 pennies

Answer: 6 coins

Step-by-step explanation:

Pennies = 1c

Nickels = 5c

Dimes = 10c

10 * 3 dimes = 30c

30c + 5c (a nickle) = 35c

35c + 2 pennies = 34

Therefore, the lowest amount of coins is 6 (3 dimes, 1 nickle, and 2 pennies)

Answer:

1. 4t^3, 9y, 1

2.11gh, 6t, 4

3.z, mn, 4v^2

Step-by-step explanation:

Each term is separated by + or -

Answer: 317.39

Step-by-step explanation:

The price of the guitar decreased by15%

Original price is 275.99

To get the reduced amount

It will be 15% of the exact amount and add to the exact to get the original

15/100×275.99

=41.3985

To get exact,

reduced amount + sold price

=41.3985+275.99

=317.3885

=317.39

Answer:

The perimeter of the figure is 86.53 meters

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the circumference of a semicircle, plus the sum of the legs of the right triangle

step 1

Find the circumference of a semicircle

The circumference of a semicircle is given by the formula

[tex]C=\pi r[/tex]

we have

[tex]r=29/2=14.5\ m[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

substitute

[tex]C=(3.14)(14.5)=45.53\ m[/tex]

step 2

The sum of the legs of the right triangle is equal to

[tex]20+21=41\ m[/tex]

step 3

Perimeter of the figure

[tex]45.53+41=86.53\ m[/tex]

To find the area of a circle with a diameter of 6, divide the diameter by 2 to get the radius, then use the formula Area = πr² with the calculated radius, resulting in an area of 28.26.

Using either the exact value of π (pi) or its approximation 3.14, we substitute the radius into the formula to calculate the area.

Using π, the area is:

A = π(3)² = 9π

Using the approximation of 3.14 for π, the area is:

A = 3.14(3)² = 3.14(9) = 28.26

So, the area of the circle is either 9π square units or approximately 28.26 square units if you use 3.14 for π.

Answer:

A. x - 3 + 7x - 9/x^2 - 2

did test on edge, got 100%

The height of the prism is x-3+ (7x-9)/([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3).

The formula for the volume of a rectangular prism is V = Ah, where A is the area of the base and h is the height. Since we are given the volume and the area of the base, we can solve for the height. We have V = ([tex]x^{2}[/tex]-2) * h and V = ([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3), so we can set these two equations equal to each other and solve for h.

([tex]x^{2}[/tex]-2) * h = ([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3)

Expanding both sides, we get:

[tex]x^{2}[/tex]h - 2h = [tex]x^{3}[/tex]h - 3[tex]x^{2}[/tex]h + 5xh - 3h

Combining like terms, we get:

([tex]x^{3}[/tex] - 3[tex]x^{2}[/tex] + 5x - 3 - [tex]x^{2}[/tex] + 2 - 5x + 3) * h = 0

Simplifying, we get:

([tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2) * h = 0

Since [tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2 cannot equal 0 (since it's a cubic polynomial), we can divide both sides by ([tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2) to solve for h:

h = 0 / ([tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2)

So the height of the prism is x-3+ (7x-9)/([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3).

Answer:

6.75 round to 7

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

6.75 is closer to 7, because it is 0.25 from 7 and 0.75 from 6. Since 0.75>0.25, 6.75 rounds up to 7 hours a day. Hope this helps!

Step-by-step explanation:

you are such a b

Answer:

z=100

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

180-80=100

Answer:

c.

Step-by-step explanation:

You could use a regression calculator to help you. You should try it its very helpful :)

Hope this will help u...

Answer:

C. three sides measuring 5 in, 12 in, and 14 in.

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

when you dived -14 by 4 you will get -3.5

Answer:

Step-by-step explanation:

hello :

2x+5 11-3x x²+4x

x=3 : 2(3)+5+11-3(2)+(3²)+4(3) ...continu

Answer:

11

2

21

Step-by-step explanation:

Since the value of x is given we will have to substitute into each of the equation

So let's start

2x+5

And x is given to be 3

2(3)+5

6+5

11

11-3x

11-3(3)

11-9

2

X^2+4x

(3)^2+4(3)

9+12

21

Answer:

The answer is D

Step-by-step explanation:

I know because I take pre- algebra.