Which is a correct way to evaluate the expression 3(53+100)−12
3
(
53
+
100
)
-
12
?

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

To know more about collinear points, visit:

https://brainly.com/question/13573341

#SPJ9

Answer:

So what are the questions?

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:

Answer:

See explanation

Step-by-step explanation:

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.

Learn more about the unitary method here-

brainly.com/question/19359186

#SPJ9

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.

Learn more about parallel lines here:

https://brainly.com/question/24607467

#SPJ9

If a carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.

The interior angles are the same or equal in measure. On the other hand the sum of the interior angles have to  be 180°.

The two side  pieces on the right hand and left hand side are equal in measure. The sides can be parallel only if the sum of both side angles is equal to 180°

Let calculate the one side of the interior angle and both side of the interior angle

One side of the interior angle=40º+50º

One side of the interior angle=90°

Both side of the interior angle=90°+90°

Both side of the interior angle=180°

Hence,

The side are parallel because: 180°=180°

Therefore Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.

Learn more about parallel here: brainly.com/question/26961508

#SPJ1

The change in the temperature during these three hours will be -4.2° Celcius.

From the information, the air temperature at 9am is -5.8 degrees Celsius and the air temperature at noon is -1.6 degree.

Therefore, the change in the temperature during these three hours will be:

= -5.8 - (-1.6)

= -5.8 + 1.6

= -4.2° Celcius

Therefore, the change in the temperature during these three hours will be -4.2° Celcius.

Learn more about temperature on:

brainly.com/question/24746268

#SPJ1

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.

To know more about the semicircle, here

https://brainly.com/question/15937849

#SPJ9

Answer:

Step-by-step explanation:

70-6+21-5

64+16

=80

Answer:

total = $27.40, change = $12.60

Step-by-step explanation:

6.85 x 4  = 27.40

40.00 - 27.40 = 12.60

Answer:

i believe it is 27.

Step-by-step explanation:

since y = 5 and x = 7, what you would do is 5×4+7. which equals 27

Yes, it is a polynomial

The degree of the polynomial is 2

and it is a Quadratic polynomial

A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. It is made up of indeterminates (also known as variables) and coefficients.[tex]x^{2}[/tex]− 4x + 7. is an illustration of a polynomial with a single indeterminate x. Three-variable example: [tex]x^{3}[/tex]+ 2xy[tex]z^{2}[/tex] − yz + 1..

Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.

To learn more about  Polynomial  form the given link:

https://brainly.com/question/11536910

#SPJ9

Answer:

2

Step-by-step explanation:

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

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]

Answer:

Hello,
Answer: (x+4)²+(y-7)²=50

Step-by-step explanation:

center=((3+(-11) )/2,(8+6)/2)=(-4,7)

radius²=(3-(-4))²+(6-7)²=49+1=50

Equation:

(x+4)²+(y-7)²=50

Answer:

POINTS

Step-by-step explanation:

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

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.

To learn more about prime integers from the given link:

brainly.com/question/23481510

#SPJ9

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

Answer: Its C I just took the test

Step-by-step explanation:

The x coordinate will be -4 for the expression "a point 4 unit to the left of 0".

We are given an expression:

" a point 4 unit to the left of 0 "

We need to find the value of x coordinate for this expression.

In geometry, a coordinate system is a system that makes use of one or extra numbers, or coordinates, to uniquely decide the placement of the factors or different geometric factors on a manifold which include Euclidean space.

We can write the expression as:

4 unit to the left of 0 will be - 4

So the point becomes:

( - 4 , 0)

So, the x coordinate becomes,

x = - 4

Therefore, the x coordinate will be -4 for the expression "a point 4 unit to the left of 0".

Learn more about coordinate here:

https://brainly.com/question/11337174

#SPJ9

Answer:

-24 - 4x + 6= 16x + 22

-29 -22 = 16x +4x

-51 = 20x

x= -51/20

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 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%

Learn more about percentages on:

brainly.com/question/19247356

#SPJ1

Answer:

yo mom

Step-by-step explanation:

For any integer x, x²-x will always produce an even value is TRUE in all sense.

As per the question statement, we are given an expression [tex]x^{2} -x[/tex] and asked about the validation of the statement, "For any integer [tex]x[/tex],  [tex]x^{2} -x[/tex] will always produce an even value.

Lets first take a positive value say [tex]x=3[/tex], which is an integer also

[tex]x^{2} -x\\=3^{2} -3\\=9-3\\=6[/tex]

which is an even number.

Now lets take a negative value say [tex]x=-7[/tex],  which is an integer also

[tex]x^{2} -x\\=7^{2} -7\\=49-7\\=42[/tex]

which is an even number also.

Hence the statement "For any integer x, x²-x will always produce an even value" is TRUE in all sense.

To know more about integers, click on the link given below:

https://brainly.com/question/28351306

#SPJ9

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.

Learn more about Mensuration here:

brainly.com/question/76387

#SPJ9