Find the area. Round to the nearest tenth if necessary.
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An equation that combines with the given equation  x + 2y = 21 to form a system of equations with the solution x = 3 and y = 9 is 4x + y = 21.

The correct answer is an option (c)

As x = 3 and y = 9 are the solution of system of equations, the required equation must be true for x = 3 and y = 9.

Given equation is: x + 2y = 21

For x = 3 and y = 9 given equation is 3.

In order to find the required equation, we substitute the values of x and y in each equation and check whether the equation is true for x = 3 and y = 9.

a. For equation, 4x + 6y = 64

LHS = 4(3) + 6(9)

LHS = 12 + 54

LHS = 66

LHS ≠ RHS

So, this is not a required equation.

b. 2x + y = 36

LHS = 2(3) + 9

LHS = 6 + 9

LHS = 15

LHS ≠ RHS

So, this is not a required equation.

c. 4x + y = 21

LHS = 4(3) + 9

LHS = 12 + 9

LHS = 21

LHS = RHS

this is the required equation.

d. -3x + 4y = 33

LHS = -3(3) + 4(9)

LHS = -9 + 36

LHS = 27

LHS ≠ RHS

So, this is not a required equation.

e. 3x + 2y = 28

LHS = 3(3) + 2(9)

LHS = 9 + 18

LHS = 27

LHS ≠ RHS

So, this is not a required equation.

Therefore, the reuired equation is 4x + y = 21

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a) 7 examples are:

[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]

b) Fabric Larry will have left after using [tex]2\frac{2}{3}[/tex] yard out of [tex]5\frac{5}{6}[/tex] yard to make a bag for his computer is: [tex]3\frac{3}{6} yard[/tex]

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

7 examples of mathematical expression are:

[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]

For the second part of the question:

Larry had 5 3/6 yards of fabric. He used 2 2/3 yards to make a bag for his computer. Write an expression that will show how much of the fabric Larry will have left.

The mathematical expression that represents the amount of fabric Larry has left is:

5 3/6 - 2 2/3 = 2 7/18

You can simplify this further:

2 7/18 = 2 1/6

The amount of fabric Larry will have left is 2 1/6 yards.

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Answer:

A noun is most commonly taught a person, place, or thing and sometimes idea. In this sentence, it would be Magazine, Americans, and carbohydrates. And if smith is also part of the sentence, he is a person, so its also a noun. :) Happy learning friend

Answer:

1) 1: 107

  2: 73

  3: 107

  4: 73

  5: 107

  6: 73

  7: 107

  8: 73

3) 1: 128

  2: 52

  3: 128

  4: 52

  5: 128

  6: 52

  7: 128

  8: 52

Step-by-step explanation:

Answer:

The total volume of the glass is 300 cm^3.

Step-by-step explanation:

Let V represent the total glass volume.

Then (4/5)V - (2/3)V = 40 cm^3.  The LCD here is 15, so we rewrite this equation as

(12/15)V - (10/15)V = 40 cm^3, or

(2/15)V = 40 cm^3.

Solve for V by multiplying both sides of this equation by (15/2):

(15/2)(2/15)V = (15/2)(40  = 300 cm^3

The total volume of the glass is 300 cm^3.

Answer:

1/3 . Abase . height

Step-by-step explanation:

Please find attached the complete question

a square pyramid is a pyramid that has a square base.

total surface area measures the total area of the surfaces of an object

the formula 1/3 x Area of the base x height is used to calculate the volume of the pyramid and not the surface area

Answer:

77.4 inches

6 feet 4 inches

Step-by-step explanation:

what persent of 14 is 10.83 is 77.35

what persent of 84 is 77.3571428571 is 92.08

what is 92.08% of 84 is 77.34

77.34 inches to feet is 6 feet and 4 inches

Answer:

3n(n + 4) = 0

n = 0, -4

Step-by-step explanation:

3n(n + 4) = 0

3n = 0

n = 0

n + 4 = 0

n = -4

Answer:

Step-by-step explanation:

3n2 + 12n factors into (3n)(n + 4n).

Answer:

i believe it's (1, -3)

hope it helps!

Answer:

c = 8^5

d = 7^2

Step-by-step explanation:

Answer:

c) =8^5

d) =7^2

Step-by-step explanation:

i hope this helps :)

Answer:

uwu your answer is c because jake did not like lily during the performance.

Step-by-step explanation:

Answer:

The UWU answer UwU is UwU C UwU owa owa

Answer:

19%

Step-by-step explanation:

First, we have to find how much did he spend by taking

$575.00 - $465.75 = $109.25

Then we find the percentage decrease by taking

109.25 divided by 575, then times 100% = 19%

So,  the percentage decrease of the amount of available credit in Dylan's account is 19%

Answer:10

Step-by-step explanation: Because negative 40 equals -50 + x equals 10

No, the sine ratio of an acute angle cannot be greater than 1.

What is an acute angle?

Each angle in an acute triangle must be less than 90 degrees. A triangle is not an acute triangle even if one of its angles is 90 degrees. Because all angles (60°) are less than 90°, an equilateral triangle, for instance, is always sharp.

Here,

We have to determine whether the sine ratio of an acute angle can be greater than 1 or not.

We concluded that the value of the Sine ratio will always be between zero and one.

The Sine ratio is related to one of the acute angles of a right triangle such that the sine of the acute angle is the ratio of the side opposite the specific acute angle (the reference angle) to the hypotenuse.

Hence, the sine ratio of an acute angle cannot be greater than 1.

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The value of  Avogadro's number is 6.02214076 × 10²³. The ratio of the actual mass of an element to its atomic mass is always constant which is known as  Avogadro's number.

What is one mole?

One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.

The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.

The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of  6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.

It shows how many atoms or molecules make up one gram of an element's or compound's molecular weight. The value is "6.022 × 10²³" when the atomic mass of an element is divided by the actual mass of its atom.

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Answer:

23/4

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Answer:

37/100(4618.57)

170887.09/100

1708.9

The solution of the given expression is 1708.9.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The given expression is as below,

37% of 4618.57

It can be simplified as follows,

37% of 4618.57

= 37/100 × 4618.57

= 1708.87

It can be approximated as 1708.9.

Hence, the given expression can be worked out up to one decimal place as 1708.9.

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By setting up the equation and solving we get the positive number is 2/5.

A positive number is a number greater than zero. In mathematical terms, it is a number that is greater than zero on the number line. Positive numbers are often represented with a "+" sign in front of them, but this is not always necessary as the positive sign is the default and is usually omitted.

An equation is a mathematical statement that asserts the equality of two expressions. It is a statement that asserts that the two expressions on either side of the "=" sign are equal and have the same value. The expressions on either side of the "=" sign are called the left-hand side (LHS) and the right-hand side (RHS) of the equation.

For example:

2x + 3 = 7

x(2x+x/2)=x

2x^2+x^2/2=x

5x^2/2=x

5x^2=2x

5x=2

x=2/5

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Answer:

maybe c?... I'm sorry that's just my educated guess..

Answer:

i just found the link ill post it under your question hold up

Step-by-step explanation:

Answer:

Step-by-step explanation:

Original price = $840

Discount = 30%

Discounted price is:

Answer:

A right triangle equals to 90 degress, and has 2 equal angles.

Example: 20 degress, 20 degrees and 50 degress could make a right triangle.

I hope this helps you!

It will take 25 hours for Jenny to fill up the tank.

To solve this problem, we divide the capacity of the tank by the rate at which it is being filled:

500 gallons / 20 gallons/hour = <<500/20=25>>25 hours

The scale factor of the drawing of the neighborhood park would be = 2000.

The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).

The width of the neighborhood park. in real life = 8 meters

To convert 8 meters to millimetres is to multiply by 1000

= 8 × 1000 = 8000 mm

The scale factor = 4 × X = 8000

make X the subject of formula;

X = 8000/4

X = 2000.

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Answer:

$0.22 per bagel

Step-by-step explanation:

A dozen is 12:

2.64/12 = 0.22

The missing sides of the triangle can be found by applying the Pythagoras Theorem .

What is Pythagoras Theorem ?

The Pythagoras Theorem states that square of  hypotnuse (that is longest side) is equal to sum of the square of perpendicular and base .

that means : [tex]Hypotnuse^{2} = Perpendicular^{2} +Base^{2}[/tex]  ;

let missing side of the Right triangle be hypotnuse ;

So , missing side is written as : [tex]Hypotnuse = \sqrt{Perpendicular^{2} +Base^{2}}[/tex] .

For Example : Let a right triangle has sides lengths of perpendicular = 6 and hypotnuse = 10 .

let , the length of side "base" be unknown.

So ,  in order to find length of side b  (base) , we substitute the  known values into Pythagoras theorem:

[tex]10^{2} =6^{2} +Base^{2}[/tex] ;

[tex]Base = 100-36[/tex] ;

So , missing side "base" is = 8 ;

Therefore , the missing side can be found by using  the Pythagoras Theorem .

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Answer:

79%

Step-by-step explanation:

Most of today's student calculators have built-in statistical functions.  I will use my old TI-83 Plus here:

normalcdf(20, 30, 25, 4)

The calculator returns 0.789.

Approximately 79% of the trees are between 20 and 30 years old

Answer:

68%.

Step-by-step explanation:

The mean is 25 and the standard deviation is 5. So 20 is one standard deviation below the mean and 30 is one standard deviation above the mean.

According to the Empirical Rule, 68% of the normal curve is between ±1 standard deviations. So the answer is 68%.

The length UY of the triangle is 90 units

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

This means that

UY = 2 * VX

Substitute the known values in the above equation, so, we have the following representation

13p - 1 = 2 * (20p - 95)

Evaluate the products

13p - 1 = 40p - 190

So, we have

40p - 13p = 190 - 1

So, we have

27p = 189

Divide by 27

p = 7

Substitute p = 7 in UY = 13p - 1

UY = 13 * 7 - 1

So, we have

UY = 90

Hence, the length is 90 units

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Answer:

28 m,  112 m

Step-by-step explanation:

x = length of short piece

4x = length of long piece

x + 4x = 140

5x = 140

x = 140/5 = 28

4x = 4(28) = 112