simplify the expression
xy + 4x – 3xy – x

Answer:

Step-by-step explanation:

$5

Step-by-step explanation:

The opposite of multiplication is division.

$15/Raking = 3 times more pay than mowing the lawn.

Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.

15/3 = 5

Answer:

Kayla gets $5 paid to mow the lawn.

Step-by-step explanation:

if she get 3 times to rake the lawn.

then she get 15/3 = $5

A sky wheel is a mechanical device that has a shape of a circle divided into a given number of equal sectors. Thus, the measure of each central angle required in the question is \(8.6^{o}\).

A sky wheel is a mechanical device that has a shape of a circle divided into a given number of equal sectors. Thus each sector has an equal central angle. Since the sum of the internal angles of a circle is \(360^{o}\).

From the given question, it has been stated that the sky wheel has 42 glass-enclosed gondolas. This implies that the sky wheel has been divided into 42 equal sectors.

Therefore,

the measure of each central angle = \(\frac{360^{o} }{n}\)

where n represents the number of gondolas (42).

Thus,

the measure of each central angle between gondolas cars= \(\frac{360}{42}\)

                                        = 8.5714

The measure of each central angle between gondolas cars is approximate \(8.6^{o}\).

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Answer:

h = -9

Step-by-step explanation:

Open the parentheses:

2(h+3.5) = -11

2h+7 = -11

Subtract 7 both sides

2h = -11 - 7

2h = -18

h = -9

The outcome of this question is determined by the number of alternative possibilities and their probability.

If there are only two conceivable outcomes, one of which is success and one of which is a failure, the theoretical chance of success is 50%. The theoretical probability of success is the sum of the probabilities of the two successful outcomes if there are three alternative outcomes.

If you know anything about probability, you're undoubtedly aware that the theoretical likelihood of any given result occurring in a given circumstance is always the same. Finally, the theoretical likelihood that any of the outcomes will be successful if a circumstance is repeated is the sum of the probabilities of each successful outcome divided by the entire number of alternatives.

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The correct question is-

What is the theoretical probability that any one of the outcomes will be a success if a situation is repeated again and again?

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Answer:

-1(x - 5)x

Step-by-step explanation:

7x2 - 5x + 10x -8x2

7x2 + 5x -8x2

7x2 + 5x - 8x2

-1x2 + 5x

-1x2 + 5x

-x2 + 5x

7x2 - 5x + 10x - 8x2

-1 (x2 - 5x)

-1 (x2 - 5x)

-1(x - 5)x

-1(x - 5)x

Answer:

26000000

Step-by-step explanation:

sorry if its wrong

Answer:

x<5

Step-by-step explanation:

x/2-7/6<4/3

x/2<4/3+7/6

x/2<8/6+7/6

x/2<15/6

x<15/6*2

x<30/6

x<5

The width of the round cake needs to be approximately 2 times the radius, or about 15.6 inches, to have the same volume as the rectangular prism cake.

A three-dimensional structure with six rectangular faces that are parallel and congruent together is called a rectangular prism. It has a length, width, and height. By multiplying the length, width, and height together, one may get the volume. Contrarily, a cylinder is a three-dimensional shape with two congruent and parallel circular bases. It has a height and a radius, and you can determine its volume by dividing the base's surface area by the object's height. A cylinder has curved edges and no corners while a rectangular prism has straight edges and corners.

The volume of the rectangular cake is given as:

V = length * width * height

Substituting the values we have:

16 * 12 * 3 = 576 cubic inches

Now, for the cylindrical cake to be of the same volume we have:

V = π * radius² * height

π * radius² * 3 = 576

(3.14) * radius² * 3 = 576

radius = 15.6 inches

Hence, the width of the round cake needs to be approximately 2 times the radius, or about 15.6 inches, to have the same volume as the rectangular prism cake.

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Answer:

true

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A pE x

If you are solving the system of equations...

Point Form is \((12, 16)\).

Equation Form is \(x=12,y=16\)

Hope this helps!

Answer:

(12,16)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(12, 16)

Equation Form:

x = 12, y = 16

hi <3

expand the brackets

12z + 12 = 36

subtract 12 from both sides:

12z = 24

divide both sides by 12:

z = 2

hope this helps :)

Answer:

z = 2

Step-by-step explanation:

\(3(4z + 4) = 36\)

\(4z + 4 = 12\)

\(4z = 12 - 4\)

\(4z = 8 \div 4\)

\(\boxed{\green{z = 2}}\)

Answer:

4x+10y=-24

-2x+y=-24

2x+11y=-48

48+2x=0

48+11y =0

48=2x

48=11y

48/2 =2x/2

48/11=11y/11

x=24

y= 48/11

Answer:

It is the same as subtracting 6.

Step-by-step explanation:

1 + (-6) = 5

1 - 6 = 5

if BD is both the altitude and median of \(\triangle ABC\) then \(\triangle ABC\) is a right-angled isosceles triangle with the right angle at vertex \(\angle B\).

what is altitude ?

In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). The length of the altitude is the distance between the base and the vertex.


If \($BD$\) is both the altitude and median of \($\triangle ABC$\), then \($\triangle ABC$\)must be a right-angled triangle with the right angle at vertex \($B$\).

To see why this is true, we can use the following properties of altitudes and medians in a triangle:

The area of a triangle is given by:

\($A = \frac{1}{2}bh$\)

where \($b$\) is the length of the base and \($h$\) is the length of the altitude. In this case, \($b = AB = BC$\) and \($h = BD$\). Therefore, we have:

\($\frac{1}{2}(AB)(BD) = \frac{1}{2}(BC)(BD)$\)

Simplifying, we get:

\($AB = BC$\)

So, \($\triangle ABC$\) is an isosceles triangle with \($AB = BC$\). Furthermore, since \($BD$\) is the altitude of \($\triangle ABC$\), it meets \($AC$\) at its midpoint\($M$\). Therefore, \($\triangle ABC$\) is a right-angled triangle with the right angle at vertex \($B$\).


Q) If BD is both the altitude and median of Δ ABC then what kind of Δ is ABC?

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Answer:

False

Step-by-step explanation:

Protons have positive charge.

Answer:

Protons have a positive charge.

Step-by-step explanation:

Answer:

Carlo paid 2500 dollars and his brother paid 1000 dollars

Step-by-step explanation:

Given -

The ratio of cost shared by Carlo and his brother is 5:2

Which means Carlo paid 5/7th part of the total cost of bicycle

5/7 * 3500 = 2500 dollars

The amount paid by  his brother is 3500 - 2500 = 1000 dollars

(a) The boundary of Mr​x is given by ∂(Mr​x)={y∈Rn;d(y,x)=r}, where d(y,x) represents the distance between y and x.

(b) In a discrete metric space, the boundary of Mr​p is not equal to the sphere of radius r at p, demonstrating a case where they differ.

(a) To show that the boundary of Mr​x is ∂(Mr​x)={y∈Rn;d(y,x)=r}, we need to prove two inclusions: ∂(Mr​x)⊆{y∈Rn;d(y,x)=r} and {y∈Rn;d(y,x)=r}⊆∂(Mr​x).

For the first inclusion, let y be an element of ∂(Mr​x), which means that y is a boundary point of Mr​x. This implies that every open ball centered at y contains points both inside and outside of Mr​x. Since the radius r is fixed, any point z in Mr​x must satisfy d(z,x)<r, while any point w outside of Mr​x must satisfy d(w,x)>r. Therefore, we have d(y,x)≤r and d(y,x)≥r, which implies d(y,x)=r. Hence, y∈{y∈Rn;d(y,x)=r}.

For the second inclusion, let y be an element of {y∈Rn;d(y,x)=r}, which means that d(y,x)=r. We want to show that y is a boundary point of Mr​x. Suppose there exists an open ball centered at y, denoted as B(y,ε), where ε>0. We need to show that B(y,ε) contains points both inside and outside of Mr​x. Since d(y,x)=r, there exists a point z in Mr​x such that d(z,x)<r. Now, consider the point w on the line connecting x and z such that d(w,x)=r. This point w is outside of Mr​x since it is on the sphere of radius r centered at x. However, w is also in B(y,ε) since d(w,y)<ε. Thus, B(y,ε) contains points inside (z) and outside (w) of Mr​x, making y a boundary point. Hence, y∈∂(Mr​x).

Therefore, we have shown both inclusions, which implies that ∂(Mr​x)={y∈Rn;d(y,x)=r}.

(b) An example of a metric space where the boundary of Mr​p is not equal to the sphere of radius r at p is the discrete metric space. In the discrete metric space, the distance between any two distinct points is always 1. Let M be the discrete metric space with elements M={p,q,r} and the metric d defined as:

d(p,p) = 0

d(p,q) = 1

d(p,r) = 1

d(q,q) = 0

d(q,p) = 1

d(q,r) = 1

d(r,r) = 0

d(r,p) = 1

d(r,q) = 1

Now, consider the point p as the center of Mr​p with radius r. The sphere of radius r at p would include only the point p since the distance from p to any other point q or r is 1, which is greater than r. However, the boundary of Mr​p would include all points q and r since the distance from p to q or r is equal to r. Therefore, in this case, the boundary of Mr​p is not equal to the sphere of radius r at p.

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Answer:

-2

Step-by-step explanation:

it's the lowest point

To show the given two triangles are similar, choose option D.

If in two triangles the ratio of corresponding sides are equal, and all corresponding angles are equal then they are considered as similar triangles.

Given that, two triangles are similar Δ STW ~ Δ XYZ,

According to definition of similar triangles,

The ratio of corresponding sides are equal, and all corresponding angles are equal,

Therefore, we have,

ST/XY = TW/YZ = SW/XZ

And,

Angles A, B and C are equal to Angles X, Y and Z respectively.

From the above discussion we can conclude, the correct options are;

To show the given two triangles are similar, we should have all the given sides in equal proportion.

As we are already given that, ST = 27 and XY = 9

The scale factor is 1/3

So, we should consider the option D, SW = 15 and TW = 24

By this we can get, SW/XZ = 3 and TW/YZ = 3

Hence, the correct option is D

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Answer:

(-4,-2)

Step-by-step explanation:

Since this is substitution, replace the y in the first equation with the one from the bottom.

x+4y=-12

-3x-14=y

x+4(-3x-14)=-12

Now you will solve the problem.

x+4(-3x-14)=-12

Distribute the 4

x-12x-56=-12

put the x's together

-11x-56=-12

add 56 to each side

-11x-56=-12

     +56  +56

-11x=44

divide by -11

-11x=44

/-11  /-11

x=-4

Now, plug that x into one of the equations.I will do the top one because it is easy.

x+4y=-12

substitute x

(-4)+4y=-12

Now, solve the equation

-4+4y=-12

Add 4 to both sides

-4+4y=-12

+4       +4

4y=-8

Divide by 4 to both sides

4y=-8

/4   /4

y=-2

Your answer is a ordered pair, so use the format (x,y) to answer

(-4, -2)

Answer:

222 okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:

138°.

Step-by-step explanation:

Extend one of the lines that forms the angle. You should get a triangle. Because the topmost and bottoms lines are straight, one of the angles has to equal 180-111, which is 69°(nice). The opposite angle to that has to also be that size. Since the topmost and bottomost lines are parallel the alternate interior angle to the 111° outside of the triangle would also equal 111°. So, because it's a straight line, the angle next to it, which is inside the triangle, is once again 69°(nice). Then, since you have 2 angles of the triangle you can add them together and subtract their sum from 180°, that should be 42°. One of the lines that 42° is on is also one x is on, so 42°+x=180°. Using this, you can find that x should be about 138°, I think.

Answer:

perimeter = 7x² + 7y² + 4y - 3x

Step-by-step explanation:

the perimeter (P) is the sum of the 3 sides of the triangle , that is

P = 3x² - y² + 4x² - 7xy + 4y - 3x + 7xy + 8y² ← collect like terms

  = (3x² + 4x²) + (- y² + 8y²) + (- 7xy + 7xy) + 4y - 3x

 = 7x² + 7y² +0 + 4y - 3x

 = 7x² + 7y² + 4y - 3x

It will be parallel to the JK line segment.

What are Parallel Sides ?

If two sides of a geometric shape are not touching or crossing each other and their separation is constant, they are said to be parallel. A shape's parallel sides are opposed, or across from one another, and if they were stretched infinitely beyond the boundaries of the shape, they would not intersect.

According to the given information

Now if a line segment \($3 K$\) is dilated by factor \($0.5$\) about \($p$.\)

The image 3'G' will be of half length as JK and every point on JK at P will be of at half distance.

Therefore,

It will be parallel to the JK line segment.

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Answer:

9. the first one ( 12 + 4 = 4 + 12 )

Step-by-step explanation:

the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.

The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The four options

Now,

The commutative property of addition states that changing the order of the addends does not change the sum.

This is the only option that shows the same sum with different orders of addends.

Therefore, by algebra the answer will be 12 + 4 = 4 + 12.

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The land has a 1,560 ares area.

The area of a rectangular plot can be found using the formula: area = length × width. In this case, the length is 650 meters and the width is 240 meters.

To find the area in ares (1 are = 100 square meters), first calculate the area in square meters: area = 650 × 240 = 156,000 square meters. Then, convert square meters to ares: 156,000 ÷ 100 = 1,560 ares.

So, the area of the plot is 1,560 ares.

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