The sum of three consecutive even integers is 50 more than the third integer.find the integers

Answer:

See explanation

Step-by-step explanation:

If A, B, C, and D are collinear points then the length of BC = 6x +443 is 59.

A group of three or more points that are located along the same straight line is called collinear points. On separate planes, collinear points may exist, but not on different lines. Collinearity is the quality of two points being parallel to one another. Any three or more points are only considered to be collinear if they are situated along the same straight line. There is only one line that can pass through three locations that are collinear.

Given that A, B, C, and D are collinear points and position in that order.

AC = 149

BD = 3x + 307

BC = 6x + 443

AD = 8x + 717

We can determine the length of AB

AB + BD = AD

AB + 3x + 307 = 8x + 717

AB = 8x - 3x + 717 - 307

AB = 5x + 410

Now, we know that

AB + BC = AC

5x + 410 + 6x + 443 = 149

11x + 853 = 149

11x = -704

x = - 64

Put x= -64 in BC

BC = 6(-64) + 443

BC = - 384 + 443

BC = 59

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The value of x is option (B) 7° for the parallel lines that is being cut by a transversal.

We are given a pair of parallel lines that is cut by a transversal.

Also, we are given that

m ∠ A = (6 x - 3)°

m ∠ B = (9 x - 24)°

Also, we know that in parallel lines cut by a transversal, the alternate exterior angles are equal.

So, we get that:

∠ A = ∠ B

(6 x - 3)° = (9 x - 24)°

6 x - 3 = 9 x - 24

9 x - 6 x = 24 - 3

3 x = 21

x = 21 / 3

x = 7°

Therefore, the value of x is option (B) 7° for the parallel lines that is being cut by a transversal.

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Answer: [tex]0\leq x\leq 2[/tex]

Step-by-step explanation:

[tex]460-270.71-3.09*4-33.71=143.22[/tex]

After all his purchases, he has $143.22 left. Outfits cost $68.20 each.

[tex]143.22/68.20=2.1[/tex]

He has enough to buy at most, 2 outfits.

So, your inequality would be

[tex]0\leq x\leq 2[/tex]

Answer:

v

Step-by-step explanation:

v

We solely used prime integers to find the prime factorization, giving us the least common denominator for 2/3 and 3/4. Final answer is 12.

What is prime integers?

A prime number is any natural number greater than one that is not the sum of two lesser natural numbers. Any natural number greater than one that is not prime is referred to as a composite number. For instance, the product 1 5 and 5 1 are the only two ways to write the number 5, making it a prime.

If a positive integer's sole factors are one and itself, then it is a prime number if it is greater than or equal to 2.

One approach is to determine the denominators' prime factorization, which are 3 and 4. Three would be prime factorized as 1 x 3 and four as 2 x 2, respectively. We would have 2 x 2 x 3 = 12 if we solely used prime integers to find the prime factorization, giving us the least common denominator for 2/3 and 3/4. Final answer is 12.

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Answer:

Option C: 6(7 * 7)

Step-by-step explanation:

There are six faces of the cube. Since each face is 7 by 7 units, there are 6(7 *7) units total.

The expression for y in terms of x is √x^2 + 16

The figure represents the given parameter

On the figure, we can see that the triangle is a right triangle, where the side  HG is the hypotenuse

By the Pythagoras theorem, we have the following equation

HG^2 = HF^2 + FG^2

This gives

y^2 = x^2 + 4^2

Evaluate the exponents

y^2 = x^2 + 16

Take the exponent of both sides

y = √x^2 + 16

Hence, the expression for y in terms of x is √x^2 + 16

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Answer:

  (d)  7/25 -(24/25)i

Step-by-step explanation:

You want the value of 4-3i divided by its conjugate.

The conjugate of a sum is the same sum with the sign changed.

  conjugate of 4-3i is 4+3i

  conjugate of 4+√2 is 4-√2

In algebra, a conjugate is often used when squaring one of the terms will make it "rational" or real (or both). That is because the product of a number and its conjugate is the difference of the squares of the parts of the sum.

  (a -b)(a +b) = a² -b²

You want the value of (4-3i) divided by its conjugate. Simplifying that expression will also make use of the conjugate.

  [tex]\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{4^2+2(4)(-3i)+(3i)^2}{4^2-(3i)^2}=\dfrac{(16-9)-24i}{16+9}\\\\=\boxed{\dfrac{7}{25}-\dfrac{24}{25}i}[/tex]

The mark up percent on the retail price is 150%.

Since the Sports Brand Company is making a new shoe that has a wholesale price of $60,

and it wishes to advertise a retail price of $150,the markup will be:

= $150 - $60

= $90

Therefore the markup percentage will be:

= Mark up/ Original price × 100

= 90/60 × 100

= 3/2 × 100

= 150%

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Answer:

I think 0

Step-by-step explanation:

Answer:

ab=12

Step-by-step explanation:

p=perimeter

ab=cd ==> they're opposite sides of the rectangle, so they're equal

bc=da ==> they're opposite sides of the rectangle, so they're equal

p=ab+bc+cd+da

p=ab+cb+dc+da

p=ab+dc+2*cb

44=3z-3+3z-3+2*2z

44=3z+3z-3-3+4z

44=6z+4z-6

44=10z-6

10z=50

z=5

ab=cd=dc=3z-3

ab=3(5)-3

ab=15-3

ab=12

Answer:

-14

Step-by-step explanation:

When you're subtracting from a negative number you're just adding 2 negative numbers making it go farther from 0.

The surface area of the cylinder is 6764π mm².

Given the radius of the cylinder is 38 mm and

the height of the cylinder is 51 mm.

we are asked to determine the surface area = ?

we know that surface area of a cylinder = 2πrh + 2πr²

given, r = 38 mm

h = 51 mm

substitute the above values to get the surface area.

A = 2πrh + 2πr²

A = 2π(38)(51) + 2π(38)²

A = 2π(1938) + 2π(1444) mm²

A = 3876π + 2888π mm²

A = 6764π mm²

Hence the surface area of the cylinder is 6764 mm² in terms of π.

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Answer:

2

Step-by-step explanation:

[tex]13^{2}[/tex] = [tex]\frac{1}{13^{-2} }[/tex]

There are 14 fewer bulldozers were built than garbage trucks and motorcycles combined.

The bar chart is one of the means that we can use to show data. The bar chart is used to show categorical variables, discrete variables or continuous variables grouped variables.

The bar chart has two axes, the vertical axes and the horizontal axes. The vertical axes is used to show the number while the horizontal axis shows the type of the object.

We can see that the number of garbage trucks and motorcycles combined = 4 + 20 = 24

Number of bulldozers  = 10

We now have; 24 - 10 = 14

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Answer: 11

Step-by-step explanation:

Answer:

11+3=14  x=11

Step-by-step explanation:

What was asked:

What is the solution of this equation?

Step 0 x + 3 = 14

Step 1 14-3=11

Step 2 x=11

Therefore 11+3=14

Answer:

9/20

Step-by-step explanation:

0.45 is really 45/100 if you simplify it can only simplify to 9/20 because 9 and 20 don't have a common denominator that will end in two whole numbers

Answer:

So what are the questions?

Step-by-step explanation:

Answer:

POINTS

Step-by-step explanation:

Answer: Its C I just took the test

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

It literally shows u how to do it on the chart step by step just add subract then divide lol.

Answer:

Josh spent $29.87

Step-by-step explanation:

$12.99 + 3.75×4.5 = $29.865 ≈ $29.87

Answer:

Okay, so what you first want to do is is find out what 3.75 times 4 1/2 is. First you can start by transitioning 4 1/2 into decimal form like so:

And then multiply 3.75 times 4.5

Then add you quotient to the amount of money that he paid for the flat rate:

Answer = $26.86

Step-by-step explanation:

From the calculations; the  minimum area is 14.25 cm^2 and the maximum area is 15.75 cm^2

We define the area as the  product of length of the rectangle and width of the rectangle. We can give the unit of the area as square units. The area is the measure of the plane that has been covered by an object.

We have;

size of rectangular plate = 5 cm by 3cm.

Range of length = 0.25 of 5 cm  

The minimum and maximum area are;

We can now formulate the following to solve the problem;

5 - 0.25 ≤ L ≤ 5 + 0.25

4.75 ≤ L ≤ 5.25

Area of rectangle =  Length × Width.

Width = 3

minimum length = 4.75

maximum length = 5.25

minimum length

= 4.75 * 3

= 14.25 cm^2

maximum length

= 5.25 * 3

= 15.75 cm^2

We now obtain the  minimum area as 14.25 cm^2 and the maximum area as 15.75 cm^2

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The 130-pound Earthling will weigh 227.5 pounds on Planet Y.

We are given that:

a piece of stone weights 7 pounds on a Planet Y.

and the same stone weights 4 pounds on the planet earth.

We need to find that how much 130 pound Earthling weigh on the planet Y.

We know that:

7 is 175% of 4

As, 175 / 100 × 4 = 175 / 25 = 7

We will use percentage here:

So now, we will calculate 175 % of 130 pounds.

175% of 130 = 175 / 100 × 100

175% of 130 = 227.5

Therefore, the 130-pound Earthling will weigh 227.5 pounds on Planet Y.

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Answer: 350

Step-by-step explanation:

times 10 by 7 so do 7 times 10 then u get 70 then do 70 times 5 and youll get 350

0.9375 limes are required to make 0.75 cups servings of limeade.

Unitary method is a concept in which the value of a single unit is first found out and then multiplied by the necessary value to get the required answer.

Here, we are given that a recipe for limeade calls for 10 limes and gives us eight cups of servings of limeade.

⇒ 10 limes make up 8 cups

Number of limes required for 1 cup of limeade = 10/8

= 1.25 limes

Thus, limes required for making 0.75 cups of limeade = 1.25 × 0.75

= 0.9375 limes

Thus, 0.9375 limes are required to make 0.75 cups servings of limeade.

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Answer:

Are m< 4 and m< 7 supplementary angles?

In that case the answer is m< 7=50 degrees.

Step-by-step explanation:

In that case...

m< 4+m< 7=180

130+m< 7=180

130-130+m< 7=180-130

m< 7=50 degrees

Answer:89

Step-by-step explanation:

The cost of the semi-circular transom stained glass window is $107.702.

A semicircle is formed when a circle is divided in half along its diameter. The two halves are equal in size.

Now, for the for given question;

The width of the door is given as 34 inch which is same as the diameter of the semicircle of window.

The radius of the window becomes 34/2 = 17 inches.

Now, the formula for the area of the semicircle is;

A = πr²/2

Where, r is the radius and π = 3.14.

Substitute the values;

A = (3.14)(17)²/2

On simplification

A = 76.93 square inch.

Now, the cost of window glass is $1.40 per square inch.

Thus, for 76.93 square inch.

Rate = 76.93×1.40

Rate = $107.702

Therefore, the cost of the semi-circular transom stained glass window is found to be $107.702.

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