The sum of two numbers is 140. The difference between the numbers is 32. Which system of equations can be used to find the larger number, x, and the smaller number, y.
Group of answer choices

x + y = 140
y – x = 32

y – x = 140
x + y = 32

x + y = 140
x – y = 32

x – y = 140
x + y = 32

The equation with solution zero are : b. 2 (x + 6) = 3 (x + 4) and  d. 3x + 8 = 2x+8.

Here in this problem, we are dealing with linear equations which is a condition of one variable regularly composed within the form ax+b=0 where a and b are real numbers and x is an unknown variable. Solutions to linear equations is refer to a linear equation that can have zero, one, or infinitely numerous solutions. A linear equation with no solutions simplifies to an untrue statement such as 1=0. A linear equation with one solution simplifies to a solution of the form x=n where n may be a real number. A linear equation with infinitely numerous solutions simplifies to a true statement without a variable such as 1=1.

So in the above-given equations

a. 4x + 1 = 4x - 1 => 4x-4x =1-1 =>0=0

b. 2 (x + 6) = 3 (x + 4)

=> 2x+12=3x+12

=>3x-2x= 12-12

=>x=0

c. 2x + 5 = 11

=>2x= 11-5

=>x=3

d. 3x + 8 = 2x + 8

=>3x-2x =8-8

=>x=0

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50 pound in yen is 7200 yen

Algebra is a branch of mathematics that helps translate real-world situations or problems into mathematical truths. Mathematical operations like addition, subtraction, multiplication, and division are needed in addition to variables like x, y, and z to construct a meaningful mathematical expression. All branches of mathematics, such as calculus, trigonometry, and coordinate geometry, employ algebra. A fundamental algebraic equation is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are done on variables and constants. Let's imagine that while playing with matchsticks, James and Natalie came up with the idea to arrange the sticks into designs that represented numbers.

Given that : 1 euro is 120 yen and 1 pound is 1.2 euro

1 euro = 120 yen

1 pound = 1.2 euro

1 pound = 1.2 × 120 yen

1 pound = 144 yen

50 pound = 144 ×50

= 7200 yen

50 pound in yen is 7200 yen

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Answer:

the answer would be 9 tickets left

Step-by-step explanation:

8x6=48

15x6=90

12x3 + 15x3=81

90-81=9

9 tickets left

Answer:

the answer is

297.6551724138

The options that have equivalent expression(s) are:

The expressions that are equivalent be determined by checking the given options one after the other to determine the ones that will have the same value if properly expressed.

The second option is (4)^3x^2 , and it can as well be expressed as 1/4^3x2 because 1/4 is the same expression as 4^-1

The third option (1/4)3x^2  is equivalent with the expression we got at the first option.

Therefore, the expression that is equivalent to each other from the given expression are the second option and the third option.

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Answer:

its c and d

Step-by-step explanation:

Answer:

-10x²+4x-8

Step-by-step explanation:

-4x²+4x-6x²-8

-4x²-6x²+4x-8

-10x²+4x-8

Answer:

5, 15

Step-by-step explanation:

The solution to the system is where the lines intersect. If they intersect once, then there is one solution. If the lines intersect twice, there are two solutions. You probably get the picture. So yes, your answer should be correct.

Hope this helps! :)

Answer:

yes it is

Step-by-step explanation:

yeah it is correct

Answer: f(0)= 4

Step-by-step explanation:

First you need to plug 0 in for x

f (x)=-x+4 -> f(0)= -(0)+4

next solve:

f(0)= -(0)+4

0*-1 = 0

f(0)= 4

The correct answer is  f(0)= 4.

Hope this helps!

40, 3600/90 =40, is the  complete problem  where 40, 36, and 9 are the, missing numbers.

The problem we dealing with here is related to Algebra which is meant as the department of mathematics that makes a difference in the representation of problems or circumstances within the frame of numerical expressions. It includes factors like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to create an important numerical expression.

Here we are  asked to  use the digits 9, 6, and 3 in order to solve the problem. Since we know  that we  get 40 when 3600 is divided by 90,

3,600 / 90 = 40

So the number 40 means the result and followed by 3600 and 90.

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Answer:

x=5

Step-by-step explanation:

4x-5=x+10

-x -x

________

3x-5=10

+5 +5

________

3x=15

__ __ the 2 small lines mean divided

3 3

x=5

:)

Every second, the water level increases by 10 mm and this value also represents the slope

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The graph represents the given parameter

From the graph, we have the following points

(x, y) = (0, 0) and (1, 10)

The increase in height each second is then calculated as

Increase = (y2 - y1)/(x2 - x1)

This gives

Increase = (10 - 1)/(1 - 0)

Evaluate

Increase = 10

Hence. the increase in height each second is 10 mm

In (a), we have

The increase in height each second is 10 mm

The increase in height each second is also the slope of the graph

Hence, the slope of the graph is 10 mm

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the sum of the interior angles of a parallelogram is 360°,

we have the next angles equals

m

m

With this in mind, we can have the next equation

51+51+28x-11+28x-11=360

we sum similar terms

80+56x=360

we isolate the x

56x=360-80

56x=280

x=280/56

x=5

Answer:

360

Step-by-step explanation:

Answer: 360

Step-by-step explanation:

The measure of angle 3 is 45°.

What is an angle?

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are located in the plane containing them. Angles are also generated when two planes meet. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction.

Angle 6 = 45° (vertically opposite angles)

angle 3 = angle 6 = 45° (alternate angles)

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Answer: (5,10)

Step-by-step explanation: We are given that a factory's production is modeled by function  f(x).

Where f(x)=Number of parts produced per hour

x=Number of people working during production

We have to choose an ordered pair that represents a possible domain and range of the function.

x is the number of people working during production. It is always positive because time can not be negative.

f(x) is the number of parts produced per hour .It is always positive because quantity of any number cannot be negative. It is always positive.

In first option (-1,15)

x=-1,f(x)=15

x is negative which is not possible.

So, it is false.

In option b(5,-50)

x=5,f(x)=-50

Range is negative which is not possible.

So , it is false.

In option C( -10,-100)

x=-10, f(x)=-100

x and f(x) are both negative  therefore, it is false.

In option D (5,10)

x=5 , f(x)=10

x and f(x) are both positive.

So, it is possible ordered pair.

Hence, ordered pair (5,10) in which 5  represent  a possible domain and 10 represent the possible range.

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:  $10000 + $1500 = $11500

a) the derive equation is 50000 + 10000 + x

jack has maximum amount of wealth = $50,000

When he participated in a jujitsu competition  then the prize amount = 10,000

Then we will take a variable x for derive the equation which will depend on that he will win and loose :

Here,

the equation is = 50000 + 10000 + x

b) His consumption after not purchasing medical insurance is $15000.

if, he does not purchase medical insurance  then he has no coverage of insurance and

He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000

So, his consumption after not purchasing medical insurance is:

$10000 + $5000 = $15000

c) when he will purchase medical insurance then his total consumption is $3500

his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,

When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:

0.3 * 5000 = $1500

Now, subtracting the amount of medical insurance which he’ll have to pay:

$5000 - $1500 = $3500

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:

 $10000 + $1500 = $11500

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Answer:

range of the function f(x) = 23/1082 {x| all real numbers}; {yly >0} O {x| all real numbers}; {yl y 2 0} O {x|x>0}; {yl all ...

The domain and range of the function f ( x ) is {x all real numbers}; {yl y >0}

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2( ∛108 )²ˣ

The domain of the function is all real numbers because there are no restrictions on the variable x.

To find the range, we can simplify the function as follows:

f(x) = 2(∛108)²ˣ

f(x) = 2(6)²ˣ

f(x) = 2(36)ˣ

f(x) = 72ˣ

Since 72ˣ is always positive, the range of the function is {y: y > 0}.

Hence , the domain and range is solved and = {x ∈ R : x ∈ R }, {y ∈ R: y > 0}

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The complete question is attached below :

Determine the domain and range of the function f(x) = 2( ∛108 )²ˣ

O {x all real numbers}; {yl y >0}

O x all real numbers}; {yl y ≥ 0}

O {xx>0}: {yl all real numbers}

O x x ≥ 0}; {yl all real numbers}

Answer:

9 yd²

Step-by-step explanation:

If it's a square the sides will be equal length...

[tex]\sqrt{81}[/tex] = 9

Hope this helps, have a great day! :)

Answer:

Answer down below!

Step-by-step explanation:

Since we do have 4x +2, we know a few things:

So, your answer must be the third option down, because:

A. Just says 4x

B: Says 2(x*x*x*x)

D: 4x + 2x

So your answer must be C

Answer:

308 Calories are provided by the Powerbar.

Step-by-step explanation:

Use the typical amounts shown for each nutrient first to calculate how many calories each one provides:

Fat: 4 grams x 9 kcal/gram = 36 kcals.

Protein: 23 grams x 4 kcal/gram = 92 kcals.

45 grams x 4 kcal/gram of carbohydrates equals 180 kcal.

To determine the total calories, add up all the Calories from each nutrient as follows:

92 calories from protein and 36 calories from fat equal 308 calories.

The Powerbar contains 308 calories.

Answer:

Total Calories = (4*9) + (23*4) + (45*4)

                           36+92+180 = 308 Calories

To calculate total calories we first need to convert total fat, protein, and carbohydrates into calories

1 gram of protein = 4 calories

1 gram of fat = 9 calories

1 gram of carbohydrates = 4 calories

The area of the composite figure is 17 square in. Option B

From the image shown, we can see that the composite figure is made up of;

The formula for area of a rectangle is expressed as;

Area = lw

Where;

Now, substitute the values into the formula for area

Area = 3 × 4

Multiply through

Area = 12 square in

The formula for area of a triangle is expressed as;

Area = 1/ 2 × b × h

Where;

Substitute the values into the formula

Area = 1/ 2 × 2 × 5

Multiply the numerators

Area = 10/ 2

Find the ratio

Area = 5 square in

But area of the composite figure is given as;

Area of rectangle + area of triangle

12 + 5

17 square in

Hence, the area is 17 square in

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Answer:

a=75

Step-by-step explanation:

Answer:

f(- 7) = 16

Step-by-step explanation:

substitute x = - 7 into f(x) , that is

f(- 7) = (- 7)² + 3(- 7) - 12 = 49 - 21 - 12 = 28 - 12 = 16

An equation for a line that passes through (0, 0) and is parallel to a line that passes through (-5, 3) and (2, 1) is 0 = (-2/7)0 + 0

Two or more lines that never intersect are said to be parallel. We can see parallel lines all around us, such as in the bookcase's shelves and the two sides of this page.

There is a good chance that lines or structures that appear to run in the same direction, never cross one another, and always have the same spacing between them are parallel.

We will find the slope using the slope formula that is

⇒ m  = (y₂ - y₁)/(x₂ - x₁)

Given points are (-5, 3) and (2, 1), so

⇒ m  = (1 - 3)/(2 - (-5))        

⇒ m  = -2/7

We have asked to write an equation for a parallel line that passes through (-5, 3) and (2, 1).​

for a two lines to be parallel, m = m for both lines

so as the slope is (-2/7), lets put the value in (0,0)

y = mx + b

0 = (-2/7)0 + b

b = 0

And therefore the equation is 0 = (-2/7)0 + 0

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Answer: 2.32

Step-by-step explanation:

[tex]\frac{29}{100}(8)=2.32[/tex]

The equation of the new parallel line is  x = - 5

How is the new line equation calculated?

The old line = x = -2

The new line is parallel to x = -2 ---(1)

The new line is of the form x = k --- (2)

The  line x = k  will passes through the point ( -5 , 4)

So, x = k = - 5

=> -5 = K

=> x = -5

   The equation of the new parallel line is x = -5

What are parallel lines?

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The value of given expression is [tex]10^7[/tex] which can be said as 10 raised to the power 7.

We have to find the value of [tex]10^5*\frac{10^4}{10^2}[/tex]

It is a question of exponents and powers.

Exponents (Power)

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself. It is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power.

For example, the mass of Earth is 5,97,219,00,00,00,00,00,00,00,00,000 kg. This cannot be read in simple words. Thus, to pronounce these types of numbers we make use of exponents.

Hence, the weight of earth will be written as [tex]5.97219 * 10^{24}[/tex].

We know that:-

[tex]x^a*x^b = x^{a+b}[/tex] and,

[tex]x^a/x^b = x^{a-b}[/tex]

Hence, we can write,

[tex]\frac{10^4}{10^2} = 10^{4-2} = 10^2[/tex]

Now,

[tex]10^5*10^2=10^{(5+2)}=10^7[/tex]

Hence, the answer is [tex]10^7[/tex].

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The missing part of the statements are g(6) = 0, g(2) = 2, g(0) = 3, g(8) = -1 and g(4) = 1

The graph represents the given parameter

From the graph, we can see that the graph represents a linear function

Note that:

linear functions are functions that have constant average rates of change.

Having mentioned that, we have the following computations:

When x = 6 on the graph, g(x) = 0

This means that g(6) = 0

When x = 2 on the graph, g(x) = 2

This means that g(2) = 2

When x = 0 on the graph, g(x) = 3

This means that g(0) = 3

When g(x) = -1 on the graph, x = 8

This means that g(8) = -1

When g(x) = 1 on the graph, x = 4

This means that g(4) = 1

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Answer:

the answer is no solution

Step-by-step explanation: