in Shirley's class,•2/5 of the students are wearwearing purple shirts.•3/10 of the students are wearing gold shirts.the rest are wearing blue shirts what fraction of the students are wearing blue shirts?

They are complemntary

Using law of detachment:

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer: 30

Step-by-step explanation:

Since this is a right triangle, the pythagorean theorem says

\(x^2 + 16^2 = 34^2\)

So if you rearrange for \(x\) you get

\(x = \sqrt{34^2 - 16^2} = \boxed{30}\).

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

Answer:

The answer is a.

Step-by-step explanation:

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Answer:

y + 3x = 3

Step-by-step explanation:

Standard Form of the Equation of a Line

The equation of a line in standard form is:

Ax + By = C

Where A, B, and C are constants.

The equation of a line can also be expressed in slope-intercept form, where m is the slope, and b the y-intercept:

y = mx + b

Two lines are parallel if they have the same slope, that is if m1 is the slope of a given line, and m2 is the slope of a parallel line, then m2=m1.

We are given the line:

9x + 3y = 6

Dividing by 3:

3x + y = 2

Solving for y:

y = -3x + 2

The slope of this line is m1=-3, thus the slope of the required line is also m2=-3.

The equation of that required line is:

y = -3x + b

We still don't have the value of b. To find it, we substitute the coordinates of the given point (0,3):

3 = -3(0) + b

Thus, b = 3.

The required equation of the line is:

y = -3x + 3

To write it in standard form, we add 3x:

y + 3x = 3

Answer:number 1 and 4

Step-by-step explanation:

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

Answer:x=13

Step-by-step explanation:13, because you subtract A and C to get B which is 65, B and D are congruent so that means B is also 65, E is asking for 5x, to find x we would divide 65 divided by 5, which is 13. (Hope that helped)

Answer:

if  ∆ACB=∆DCE =>  

<CDE = < BAC =2X

< BAC = 180 -61 -57=62=2X

=> X= 31

Step-by-step explanation:

Answer:

HL

Step-by-step explanation:

The equation that models the relationship between the number of guests, x, and the total charge, y is A. y = 450 + 125x. The base charge for a single guest is $450, and for each additional guest, the charge increases by $125. So, we add 125 times the number of additional guests to the base charge of $450.

Answer:

60

Step-by-step explanation:

Formula = Number x 100

Percent = 39 x 100

65 = 60

Following shows the steps on how to derive this formula and find out 65% of what number is 39.

Step 1: If 65% of a number is 39, then what is 100% of that number? Setup the equation.

39

65% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

65Y = 39 x 100

65Y = 3900

Y = 3900

100 = 60

hope this helps

Answer:

Step-by-step explanation:

A. 10

just look at the highest exponent.

Answer:

view the photo

Step-by-step explanation:

The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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Answer:

563.55

Step-by-step explanation:

85/100*663=563.55

Answer:

A and B

Step-by-step explanation:

Answer:

2^6 * 3^3

Step-by-step explanation:

1. 6^3 = (2^3) * (3^3)

2. 2^6 = (2^3)^2

3.  ((2^3) * (3^3) * (2^3)^2) / 2^3

4. (3^3) * (2^3)^3 / 2^3

5. (3^3) * (2^3)^2 = (3^3) * (2^6)

Answer:

............................... is not a school related question

The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.

We have,

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

As we know in the parallelogram, the diagonals bisect each other.

Then,

432 = 3x²

x² = 144

x = √144

x = 12

In the parallelogram, the adjacent opposite angles are the same.

∠C+∠B = 240°

= 360 - 240

∠A + ∠D = 120°

∠A = ∠D = 120°/2 = 60

∠D/2 = 60/2 = 3y + 60

3y + 60 = 30

3y = -30

y = -10

From the definition of the parallelogram, the provided figure is a parallelogram.

Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.

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complete question:

1. i dentify if the following figure is an examle of a parallelogram. show your solution.

2. is this given figure on the side a parallelogram of Not?(prove using the properties of parallelogram)​

Answer: A. FALSE

Step-by-step explanation: The interval scale presents a measurement level for representing numerical variables in an ordered and fixed manner. Measurement are represented on the scale at equal intervals with each difference between consecutive intervals being the same. With this attribute, data represented on an interval scale gives meaningful difference between the data entries also allowing the US to know the size of the interval. Interval scales allows us to make subtraction and addition on data it's data. Examples of data represented on interval scale include, Temperature, ph and other numeric data with arbitrary zero levels

Answer:

The weight for an object with a velocity of 12 meters per second is 600 kilograms

Step-by-step explanation:

Formula of linear momentum : p = mv

where p is the momentum

m = mass

v = velocity

If the velocity is 16 meters per second  and the object weighs 450 kilograms

Substitute the values

\(p = 16 \times 450\)

We are supposed to find the weight for an object with a velocity of 12 meters per second

So, p = 12m

We are given that The linear momentum is a constant when the mass varies inversely of the velocity.

So,\(16 \times 450 = 12 m\)

\(\frac{16 \times 450}{12}=m\)

600 = m

So,the weight for an object with a velocity of 12 meters per second is 600 kilograms

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

Answer:

The Prime Factorization is:

2 x 5 x 11

Step-by-step explanation:

Answer:

x=107

Step-by-step explanation:

The equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The given function is:

h(x) = (x^2 - 2x - 4) / (x - 4)

To rewrite this function in an equivalent form showing the remainder as a fraction, we can use polynomial division.

Let's divide x^2 - 2x - 4 by x - 4:

           x - 6

   --------------------

x - 4 | x^2 - 2x - 4

      - (x^2 - 4x)

      -------------

            2x - 4

            - (2x - 8)

            ---------

                   4

Therefore, we can write:

h(x) = (x^2 - 2x - 4) / (x - 4) = (x - 6) + 4 / (x - 4)

Therefore,  the equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)

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Answer:

$3.20/gallon

Step-by-step explanation:

to fill up your tank at $3.20/gallon only costs $38.40

Answer:

1. yes

2. $31.5

3. $6

4. 45.36

I had problems with this one too hope this helps

The transformation of f(x) to g(x) is :

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

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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