Write the equation of a line parallel to the line shown that has a y-intercept of (0, -6):

Solving Linear equation  4x-2y= -40 : x = 10 + 0.5y

What is Linear Equation?

A linear equation is a mathematical expression that may be written as x 1+ldots +a n+x n+b=0, where x 1, ldots, and x n are the variables and displaystyle b, a 1, ldots, and a n are the coefficients, which are frequently real integers.

Simplifying

4x + -2y to 40

Solving

4x + -2y = 40

fixing the 'x' variable.

x should be moved to the left of all terms, and the right of all other terms.

To each side of the equation, add "2y."

4x + -2y + 2y = 40 + 2y

combining similar terms

-2y + 2y = 0

4x + 0 = 40 + 2y

4x = 40 + 2y

Multiply each side by "4".

x = 10 + 0.5y

Simplifying

x = 10 + 0.5y

Hence, solving for x the value of x = 10 + 0.5y

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Using the process of induction we can prove that the sum of all angles of a polygon is  (n −2) ×180°

In geometry, a polygon is a planar shape characterized by a finite number of segmented straight lines linked to form a network of closed polygons (or polygonal circuit). A polygon is defined as either a bounded plane region or a bounding circuit.

Sum of all angles of a triangle is 180°

Sum of all angles of a quadrilateral is 360°

We know that a triangle has 3 sides.

Hence (n −2) ×180 for n=3 given 180

and (n −2) ×180 for n=4 gives 360.

So we can say that the formula holds by the properties of induction.

The portions of a polygonal circuit are known as its margins or sides. A polygon's vertices or corners are the points where two edges meet. The inside of a solid polygon is sometimes referred to as its body. An n-gon appears to be a polygon with n sides, similar to a triangle, which is a 3-gon.

Hence the formula (n −2) ×180◦ holds for induction.

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A cylinder tank has a radius of 7.5 feet and an altitude of 14 feet. If a gallon of paint will cover 130 ft.² of surface how much paint is needed to put two coats of paint on the entire surface of the tank?

Remember that

The surface area of a cylinder is equal to

where

B is the area of the circular nase

P is the circumference of the circular base

h is the height of the cylinder

so

Find out B

we have

r=7.5 ft

pi=3.14

substitute

Find out the circumference

the value of h=14 ft

therefore

SA=2(176.625)+47.1(14)

SA=1,012.65 ft2

Remember that s needed to put two coats of paint

Multiply the surface area by 2

1,012.65*2=2,025.3 ft2

1 gallon -------> 130 ft2

applying proportion

1/130=x/2,025.3

solve for x

x=2,025.3/130

x=15.6 gal

therefore

The unit rate in metric tons per hour is 1 metric ton per hour.

The unit rate will be calculated by simply performing the division of amount of dirt by amount of time.

Keep the values in formula to find the value of the unit rate in metric tons per hour.

Unit rate = 1/4÷1/4

Performing division on Right Hand Side of the equation to find the value of the unit rate in metric tons per hour.

Unit rate = 1 metric ton per hour

Thus, the unit rate to remove dirt from construction site is 1 metric ton per hour.

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The equation can be modelled by 23 = 12 + x

The given parameters are

Cost of book = $12

Total purchase = $23

The total purchase can be calculated by adding the cost of the book and the cost of the T-shirt

This is represented as

Total purchase =  Cost of book + Cost of T-Shirt

So, we have

23 = 12 + x

Where x represent the unknown information.

Hence, the addition equation is 23 = 12 + x

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Stefan spent originally to buy a bike $95 and $15 to buy a helmet and he made $17.27 by selling the bicycle and $1.73 by selling the helmet to Jin.

The selling cost for Stefan bicycle = $113 and

the selling cost of a helmet = $19.

The total cost for Jin is 110% of the money spent by Stefan

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a helmet = $y.

For bicycle

110% of x is $113

=>  1.10 × x = 113

Dividing both sides by 1.10, we get

x=$102.72.

Stefan spent for his bicycle = 102.72

For helmet.

110% of y is $19.

=> 1.10 × y = 19.

Dividing both sides by 1.10, we get

y = $17.27

Stefan spent for his helmet = 17.27

money made by selling the bicycle is $113 - 102.72 = $10.72

money made by selling the helmet is $19 - 17.27 = $1.73.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet and he made $17.27 by selling the bicycle and $1.73 by selling the helmet to Jin.

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The total surface area of the can is 61.23 square inches

The total surface area of can S = 2πr(r+h)

where:

h is the height

r is the radius

A cylinder's surface area is the area that its surface takes up in three dimensions. A three-dimensional structure known as a cylinder has circular bases that are parallel to one another. There are no vertices on it. Area of three-dimensional shapes often refers to surface area. Square units are used to denote the surface area. Examples include cm2, m2, and so forth.

Given

h = 5in

r = 1.5in

S = 2(3.14)(1.5)(1.5 + 5)

S = 6.28(1.5)(6.5)

S = 61.23 square inches

Hence the total surface area of the can is 61.23 square inches

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Given:

Total shipping cost = $1.15

Weight of package = 5 ounces

The equation to determine the hipping cost per ounce is:

Shipping cost per ounce = $0.23

ANSWER:

when x = -3

f(-3) = 5 5 is the result

The Telus Plaza South in Edmonton is approximately 134 m tall. Stacy is lying down near the building. The angle formed by the ground and her line of sight from the ground to the top of the building is 67°. Stacy is 316m from the building's foundation to the nearest meter.

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Geometric art or geometric abstraction is a form of art based on geometric figures and polygons, like lines, angles, squares, trapezoids, etc.

Answer:  By convention, the volume of liquids and gases is often expressed in units of liters or milliliters, measured with glassware. The dimensions of regularly shaped solids can be measured directly with rulers or calipers, which have linear units, giving volumes in units such as cubic centimeters.

Step-by-step explanation:

1) Let's solve this Linear System, using the method of Elimination/Addition

-x+y=-7 Multi

4x+4y = 20

The equation will be 2d = 14 and the number of days d she can feed pickles from the bag is 7 days.

Pickles eat 2 cups of hungry hound dog food each day.

brittany wants to know how many days she can feed pickles from a 14-cup bag of hungry hounds.

We need to find the number of days d she can feed pickles from the bag.

Number of days = d,

So, Every day, Pickles consumes 2 cups of Hungry Hound dog chow.

Pickles then consume cups of Hungry Hound dog chow every day for a few days.

Then,

2*d = 14

[tex]d=\frac{14}{2} = 7[/tex]

Thus, the number of days d she can feed pickles from the bag is 7 days.

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Answer: 81

Step-by-step explanation: If we divide the numbers given to use, (2 factors of compost), you get 9, (do 18 divided by 2). 9 times 9 is 81.

Answer:

x 1/3

Step-by-step explanation:

Answer: B the lines are neither parallel nor perpendicular.

Step-by-step explanation:

To make this easier we can make both equations into y-intercept statements.

y = 5x - 7

-8y = -x - 6

y = 1/8x + 6/8

By looking at the slopes of both equations (5 and 1/8) we can see that they are neither the same nor opposite reciprocals.

Answer: no solution

Step-by-step explanation:

2× (7-2)>9+6

Calculate the sum or difference

2×5>9+6

Calculate the sum or difference

2 × 5 > 15

2×5>15

Calculate the product or quotient

10 > 15

10 > 15

The solution of the inequality

no solution

Answer:

x= 12

Step-by-step explanation:

12÷6=2

Answer:

Formula given : Area = πr²

where r is the radius

the given radius is 5 inches

and pi is 3.14

so 3.14x 5²

3.14 x 25

the area is 78.5 in²

hope it helps, mark as brainliest :D

Answer:

A = 78.54 in²

Step-by-step explanation:

A = πr²

A = π(5²)

A = 25π

A = 78.54 in²

Rhian scored more in the Math test than in the English test because she had a higher percentage

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

Given that: In the Maths test, Rhian scored 14 out of 17, hence:

Mark percentage = (14 / 17) * 100% = 82.35%

In the English test, Rhian scored 31 out of 39, hence:

Mark percentage = (31 / 39) * 100% = 79.49%

Rhian scored more in the Math test.

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Answer:

radius = 5.196 ins. to nearest thousandth.

Step-by-step explanation:

Volume of the cylinder = π (3)^2 7

= 63π in^3.

Volume of the cone = 1/3 π r^2 7   where r is the new radius of the cone

So, 63π = 7/3 π r^2

r^2 = 63 / 7/3

     = (63*3)/7

     = 27

r = 5.196 in.

It is given that a = 30°. It is also shown that C is a right angle, thus c = 90°. The interior angles of a triangle always add up to 180°. So:

a + b + c = 180
30 + 90 + b = 180
b + 120 = 180
b + 120 - 120 = 180 - 120
b = 60°

The value of the car is decreased by 3.5%.

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

The value of the car two years ago was $24,000.

The value of the car this year is $23,160.

The decreased value of the car after two years will be:

= $24,000 - $23,160

= $840

Let y be the percentage by which the value of the car decreased,

y = 840/24000

y = 0.035

y = 3.5/100

y = 3.5%

The value of the car decreased by 3.5 percent in two years.

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Answer:

They are parallel because they both have the same gradient of 5.

Step-by-step explanation:

For lines to be parallel they need to contain the same gradient.

1. therefore we rearrange the second equation to get y the subject so it's in the format of y=mx+c

2.       2y-10x+3=0

- we +10x and -3 on both sides to get y on its own

         2y=10x-3

- we divide each side by 2 as we want y not 2y

          y=5x-[tex]\frac{3}{2}[/tex]

3. From this we can see that both the equation contains the same gradient (5)

therefore, they are parallel.

Answer:

It's 5

Step-by-step explanation:

Answer:  Your image is too blurry to read, but the third graph from the left is correct for y=-2x+5

Step-by-step explanation:  This equation is already in the slope-intercept form: y=mx+b. In the slope-intercept form, m=slope of the line and b=intercept. For your equation, the slope is -2 and the y-intercept is where y=5. To graph the line, the -2 slope is down 2 on the y-axis for every +1 on the x-axis. Please see my attached image for the graph.