A number is divided into two parts, such that one part is 10 more than the other, if the two parts are in the ratio 5:3, find the number and the two parts.
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Answer:

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

Step-by-step explanation:

Given

Shape: Cylinder

[tex]Radius = 3h - 2[/tex]

[tex]Height = h[/tex]

[tex]Base\ Area = \pi (3h - 2)^2[/tex]

Required

Simplify the volume

The volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

Substitute values for Base Area and Height

[tex]V= \pi(3h-2)^2*h[/tex]

Expand the bracket

[tex]V= \pi(3h-2)(3h-2)*h[/tex]

Open brackets

[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]

[tex]V= \pi (9h^2 -12h + 4) *h[/tex]

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

Answer:

Step-by-step explanation:

Let the monthly rent be x.

Then we have:

Monthly rent is $2000

Answer:

the answer to your question is $2000

Answer:

No, no puedo ayudarte aunque te deseo buena suerte

Answer:

the price !!

Step-by-step explanation:

the price of donut holes depends on the number of them!! you cant tell the price without the donuts !!

a way to think of it could be "the price can't exist without the product (the donuts) so, the price dependent on the donuts. its the dependent!"

i really hope this helps!

Answer:

Uncertain if the second term is 30 and not 3o. IF 30, then the coefficients are

-1, 30 and 6.

Step-by-step explanation:

Coefficients are numbers ahead of the variables (letters).

The number 4 is called a constant. A constant is not a coefficient.

The coefficient (number ahead of the letters)  of -xyz is -1.

Hope this helps.

3(3y-12)=0 divide both sides by 3

3y-12=0 add 12 to both sides

3y=12 divide both sides by 3

y=4

Answer:

no

Step-by-step explanation:

64/16 = 4

60/14 = 4.28...

Answer:

750 is the answer. Hope it helps!

Answer:

Step-by-step explanation:

S, S, E.

Come on, do I have to spell it out for you?  :)

After plotting the above equation on the coordinate plane, we can see the graph of the function.

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have two parametric equations:

x = 1 – t² and

y = 2t

t = y/2  and

0 ≤ t² ≤ 5

1 ≤ 1 - t²≤ 4

1 ≤ x≤ 4

Plug the above value in x = 1 – t²

x = 1- (y/2)²

x = 1 - y²/4

4x = 4 - y²

y² = 4(1 - x)

Thus, after plotting the above equation on the coordinate plane, we can see the graph of the function.

Learn more about the parametric function here:

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Answer:

See inside.

Step-by-step explanation:

Just think of 1000 divided by 4. Like that. Choose a rounded number close to the number you are trying to estimate, and solve the rounded number.

Answer:

300 sqft

Step-by-step explanation:

30 times ten is 300 and the measure is feet squared

Answer:

9000 ft 3

Step-by-step explanation:

Answer:

85.8

Step-by-step explains

4596.96-4200=396.96

4511.16--4200=

396.96-311.16=85.8

so 85.8 and b

Answer:

56

Step-by-step explanation: Use the values of a, b, and c to find the discriminant.

Answer:

[tex]\Delta =56[/tex]

Step-by-step explanation:

We are given:

[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]

So, a = 1, b = -8, and c = 2.

The discriminant (symbolized by Δ) is given by:

[tex]\Delta =b^2-4ac[/tex]

So, our discriminant in this case will be:

[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]

Since our discriminant is a positive value, our equation has two real roots.

Answer:

L= 15

W= 25

Step-by-step explanation:

w(w-10) =375

w^2-10w-375=0

w=25 or -15

Length=25-10 =15

The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let L and W be the length and width of the rectangle.

The area of the rectangular field is 375 square yards

W = 10 + L

As we know,

Area = LW

375 = L(10 + L)

375 = 10L + L²

L²+ 10L - 375 = 0

After solving the above quadratic equation:

L = 15 yards

L = -25 (length cannot be negative)

Plug L in the equation W = 10 + L to get the width of the rectangular field

W = 10 + 15

W = 25 yards

Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

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Answer:

v = 2.25 ft/s

Step-by-step explanation:

Given that,

A person is walking at a rate of 9 feet every 4 seconds.

We need to find their speed. We know that, the speed of total distance divided by time taken. So,

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s[/tex]

So, the speed is 2.25 ft/s.

Answer:

Step-by-step explanation:

9 : 16 :: M : 32

Means of extremes = means of means

= 9 x 32 = 16 x M

= 288 = 16M

288/16 = M

18 = M

Answer:

the answer is 3 miles

Step-by-step explanation:

1 +2 = 3 so 3

Answer:

55/8

Step-by-step explanation:

here u gooo good luck

Answer:

Algebra (from Arabic: الجبر‎ al-jabr, meaning "reunion of broken parts"[1] and "bonesetting"[2]) is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols;[3] it is a unifying thread of almost all of mathematics.[4] It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.

Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.[5] For example, in {\displaystyle x+2=5}x+2=5 the letter {\displaystyle x}x is an unknown, but applying additive inverses can reveal its value: {\displaystyle x=3}x=3. In E = mc2, the letters {\displaystyle E}E and {\displaystyle m}m are variables, and the letter {\displaystyle c}c is a constant, the speed of light in a vacuum. Algebra gives methods for writing formulas and solving equations that are much clearer and easier than the older method of writing everything out in words.

The word algebra is also used in certain specialized ways. A special kind of mathematical object in abstract algebra is called an "algebra", and the word is used, for example, in the phrases linear algebra and algebraic topology.

A mathematician who does research in algebra is called an algebraist.

Answer:

m= - 4/13

Step-by-step explanation:

Answer:

-4/13

Step-by-step explanation:

Hopefully this helps :)

Answer:

Table C

Step-by-step explanation:

Given

Table A to D

Required

Which shows a proportional relationship

To do this, we make use of:

[tex]k = \frac{y}{x}[/tex]

Where k is the constant of proportionality.

In table (A)

x = 2, y = 4

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{4}{2}[/tex]

[tex]k = 2[/tex]

x = 4, y = 9

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{9}{4}[/tex]

[tex]k = 2.25[/tex]

Both values of k are different. Hence, no proportional relationship

In table (B)

x = 3, y = 4

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{4}{3}[/tex]

[tex]k = 1.33[/tex]

x = 9, y = 16

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{16}{9}[/tex]

[tex]k = 1.78[/tex]

Both values of k are different. Hence, no proportional relationship

In table (C):

x = 4, y = 12

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{12}{4}[/tex]

[tex]k = 3[/tex]

x = 5, y = 15

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{15}{5}[/tex]

[tex]k = 3[/tex]

x = 6, y = 18

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{18}{6}[/tex]

[tex]k = 3[/tex]

This shows a proportional relationship because all values of k are the same for this table

Answer:

B

Step-by-step explanation:

If you look at 3 on the X-axis and go down 4 then you will get point B as your answer.

Answer:

E is the correct answer because A is (-4,-3), B is (-4,3), C is (5,1), D is (4,-3), E is (3,-4), and F is (-2,-4)

Answer:

x = -5

Step-by-step explanation:

2x = -10

x = -10/2

x = -5

Answer:

=[tex](x-1)(x+6)[/tex]

Step-by-step explanation:

Answer:

[tex]x^{2} +5x-6=(x-1)(x+6)[/tex]

Step-by-step explanation:

Answer:

1. 1/8 ÷ 3/4 = 1/6

2. 3/5 ÷ 3/2 = 2/5

3. 4/1 ÷ 2/3 = 6

4.9/4 ÷ 6/5 = 15/8

5.22/4 ÷ 2/5 = 261/80

Step-by-step explanation:

Hope this Helped

Answer:

5 yellow apples

Step-by-step explanation:

Pears = p ; apples = a

p = 8 ; let Number of apples = x

All fruits are either green or yellow

Total green fruits = x - 3

Number of yellow pears = 6

Green pears = total pears - yellow pears

Green pears = 8 - 6

Green pears = 2

Green fruits = green pears + green apples

x - 3 = 2 + green apples

Green apples = x - 3 - 2

Green apples = x - 5

Apples = green apples + yellow apples

Yellow apples = apples - green apples

Yellow apples = x - (x - 5)

Yellow apples = x - x + 5

Yellow apples = 5

Hence, there are 5 yellow apples

There are 5 yellow apples in the basket.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent green apples, b represent yellow apples, c represent green pears and d represent yellow pears, hence:

There are some apples and 8 pears in a basket:

c + d = 8

There are three more apples than the total number of green fruit:

a + b = a + c + 3

b = c + 3

c = b - 3

There are 6 yellow pears, d = 6. Since:

c + d = 8, hence:

b - 3 + 6 = 8

b = 5

There are 5 yellow apples in the basket.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

Here,

150+10=180

162-180=18

Answer is 18°

Step-by-step explanation:

So the round of nearest tenth is 18°

Hope it will help have a great day at school. ^_^

Answer:

Your answer is A

Step-by-step explanation:

Answer:

x = -5/2

Step-by-step explanation:

y= 0

I dont know but i believe this is it.

Answer:

2x-y=-5

Step-by-step explanation:

y=2x+5

-2x+y=5

-(-2x+y=5)

answer: 2x-y=-5