​
start fraction, 3, divided by, 5, end fraction of an hour. Jessica waxes the floor at a constant rate.
At this rate, how many square meters can she wax per hour?

The number of turns gear B will make is 8.25 turns

Given data

Gear A turns clockwise and has 54 teeth

Gear B turns counterclockwise and has 36 teeth

gear A makes 5.5 rotations

One of the gears is driving the other hence the distance covered by each of the gears is constant.

The distance is the product of the number of rotations and the number of teeth and this should be a constant

Therefore, let the number of rotations of gear B be x

54 teeth * 5.5 rotations = 36 teeth * x rotations

x rotations = ( 54 teeth * 5.5 rotations ) / 36 teeth

x rotations = 54/36 * 5.5

x rotations = 1.5 * 5.5

x rotations = 8.25

We can therefore say that gear B will make 8.25 rotations

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Answer:

=================

This is a linear relationship, with initial value being the y-intercept and depreciation rate being the slope of the line:

Since y = 3000, plug it in and find the value of x:

The rotation of the triangle is shown with the new coordinates N' = (3, -7), O' = (-4,-5) and W' = (-1, -1).

So, a point (x, y) becomes (-y, x) if it is rotated 90° anticlockwise with respect to the origin.

(Refer to the image attached below)

Therefore, the rotation of the triangle is shown with the new coordinates N' = (3, -7), O' = (-4,-5) and W' = (-1, -1).

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(a) The lengths of RE, EC, CT, and TR are 8, 13, 8, and 13, respectively.

(b) The slopes of RE, EC, CT, and TR are 0, not defined, 0, and not defined, respectively.

(c) The lengths of RC and ET are √233 and √233, respectively.

(d) The slopes of RC and ET are -13/8 and 13/8, respectively.

The quadrilateral RECT is a rectangle.

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The image of triangle ABC△ABC triangle, A, B, C under a dilation whose center is CCC and scale factor is 222. The dimensions of the new triangle are 8.2, 12.8, and 10.2 units. The graph of the Δ is given below.

A spatial transformation is each mapping of the feature space to itself and it maintains some spatial correlation between figures.

The △ABC is given below.

The dimensions of triangle are approximately 4.1, 6.4, and 5.1.

And scale factor of the dilation is 2.

If △ABC is dilated by the scale factor of 2 as a center of C.

Then dimensions of the new △A'B'C will be

A'C = AC × 2

A'C = 4.1× 2

A'C = 8.2 units

B'C = BC × 2

B'C = 6.4 × 2

B'C = 12.8 units

B'A' = BA × 2

B'A' = 5.1 × 2

B'A' = 10.2 units

Then the dimensions of new triangle are 8.2, 12.8, and 10.2 units.

The graph of triangle is given below:

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The answer is 876. Hope this helps.

Answer:

Option 2: 876

Step-by-step explanation:

[tex]\frac{13,140}{15} = 876[/tex]

Answer:

x/2 + 1/8

Step-by-step explanation:

3/2(x+3/4) - (x+1)

3/2x + 9/8 - x -1

x/2 + 1/8

Answer: ¼ or 25% or 0.25

Step-by-step explanation:

5 boys = 25% of the class

5/20

¼ or 25% or 0.25

Answer:

$369.60

Step-by-step explanation:

65% = 0.65

1.00 + 0.65 = 1.65

$224 * 1.65 = $369.60

the original price was $369.60

Answer:

The original price was 640

Step-by-step explanation:

Let the price be x

100%-65%=35%

35%/100%*x=224

35x=22400

x=640

Answer: There are 7 coffee shops per square mile

Step-by-step explanation:

1,400,000/100,000=14

14x17=238

238/34=7

Angles of ∠y is 45° and ∠x is 135°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given Data

SRQ = 130°

∠R = 130°

As PR is the same line

So. angles of the line is 180°.

∠Y + ∠R = 180

∠y = 180 - 135

∠y = 45°

Now, PQ is the straight line

∠y +∠x = 180

∠x = 180-45

∠x = 135°

Angles of ∠y is 45° and ∠x is 135°.

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The result of the function f(x)=x+6 when x= -2,0 and 5 is

f(-2)= 4

f(0)= 6

f(5) = 11

The function  is f(x) = x+6

The function is an expression that shows the relationship between one variable and another variable.  One variable will be independent variable and another variable will be dependent variable.

The given function f(x) = x+6 when x =-2, 0 and 5. Here we have to substitute the values of x in the given function

f(x)  = x+6

f(-2) = -2+6

= 4

f(0) = 0+6

= 6

f(5) = 5+6

= 11

Hence, the result of the function f(x)=x+6 when x= -2,0 and 5 is

f(-2)= 4

f(0)= 6

f(5) = 11

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In relation to the division of a whole number by a decimal, Sarah made an incorrect claim.

A number without fractions or decimals is said to be entire. Whole numbers include 1, 10, and 1000 as examples.

A decimal number is one that is made up of both integers and non-integers. Decimal numbers include 1.1, 2.2, and 100.234. A number with two digits following the decimal point is said to have two decimal places. Examples include 10.23 and 1.23

Assume that 2 is the entire number and that 2.23 is the decimal. The final value would be 4.46.

Assume that 100 is the entire number and that 2.23 is the decimal. The item is 223.

This demonstrates that having two decimal places on a product is not always necessary.

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By using algebraic handling, the factored form of the polynomial is (x + i 5) · (x - i 5).

In this question we have the case of a quadratic equation of the form y = x² + b², the factored form of this polynomial consists in a equivalent form consisting in a product of simpler terms. There is a similar expression whose formula is:

x² - a² = (x + a) · (x - a)

Now we proceed to modify the expression into a factored form:

The factored form of the polynomial x² + 25 is (x + i 5) · (x - i 5).

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The number of gigabytes Salma can use while staying in her budget is less than 4.

In mathematics, an inequality is a connection between two expressions and values that aren't equal to each other.

As per the given question;

The total budget of Salma is $75.

The flat cost is $55.

The cost per gigabytes is $5.

Let the number of gigabytes used be 'x'.

Then, the inequality becomes.

55 + 5x < 75

Subtracting 55 from both sides.

55 + 5x - 55 < 75  - 55

5x < 20

Divide both sides by the 5

x < 4

Thus, the number of  gigabytes Salma can use while staying in her budget is less than 4.

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The equation of line is (y-2) = 1/[tex]\sqrt{3}[/tex](x-2)

What is Equation of line?

The equation of a line is the algebraic representation of a line using cartesian coordinates.

The general form of the equation of a straight line is written as y = mx + cy=mx+c.

Where m is the gradient of the straight line

and c is the y-intercept of the straight line.

And

The equation of line passing through point ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) is

(y-[tex]y_{1}[/tex]) = m (x-[tex]x_{1}[/tex])

Given line in the graph passes through (2,2).

We have to find the equation of the line.

Given, angle of inclination is 30.

m = tan (angle of inclination)

m = tan 30

m = 1/[tex]\sqrt{3}[/tex]

Therefore after substituting, equation of line

(y-2) = 1/[tex]\sqrt{3}[/tex](x-2)

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When  3.68086257145 divided by 6.533 * 4,085,0811 we get 1.379228624370833401829E-8

The methods of division are of three types according to the difficulty level. These are the chunking method or division by repeated subtraction, short division method or bus stop method and long division method.

The division of two numbers can be calculated using the following formula:

Dividend / Divisor = Quotient + Remainder.

The number that is being divided in this case is known as the dividend. The number that divides the number (dividend) into equal parts is known as the divisor.

The quotient is the result of the division operation.

The remainder is the leftover number in the division operation.

We have been given that

3.68086257145 divided by 6.533× 4,085,0811

First we simplify multiplication part

6.533× 4,085,0811  = 266878348.263

Now

3.68086257145 divided by 266878348.263

3.68086257145 ÷ 266878348.263

= 1.379228624370833401829E-8

Hence , 1.379228624370833401829E-8 is the result of the 3.68086257145 divided by 6.533× 4,085,0811 .

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By applying the section formula between three points A, C and B we find that the coordinate of m is ( -4, 0)

Let's suppose we have a line on which we have 3 linear dots A, C, and B respectively, in this we have to use the section formula,

Where A = x1, y1

           B = x2, y2

           C = m:n

According to the section formula

C = (mx2 = nx1) / m+n * (my2 + ny1) / m+n

Sm/ Me = 1/2

Using section formula :

the coordinates of m = (2-14)/1+2 , (-6+6) / 1+2

the coordinates of m = ( -12/3 , 0/3)    

the coordinates of m = ( - 4 , 0 )

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Answer: -p - 30

Step-by-step explanation:

         We will simplify the expression.

   Given:

4p - 5(p + 6)

   Distirubte the negative 5:

4p - 5p - 30

   Combine like terms:

-p - 30

The two come separately, and the p(wed.) value for each one is 0.0841. It is founded on likelihood on probability.

Probability is a way to gauge how likely something is to happen. Many things are hard to predict with complete certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur.

The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. Probability of an event P(E) = (Number of favourable outcomes) is how it is stated (Sample space).

based on the facts provided;

p(0) = p(w,w)

= 0.29² = 0.0841

p(1) = p(t, w+t) + p(w, t)

= 2p(w,t) +p(t,t) = 2·.29·.37 + .37² = 0.3515

p(2) = p(f, w+t+f) +p(w+t, f)

= 0.16(2(.29+.37)+.16) = 0.2368

p(3) = p(s, w+t+f+s) +p(w+t+f, s)

= 0.18(2(.29+.37+.16) +.18) = 0.3276

In summary, your pmf is ...

y : p(y)

0 : 0.0841

1 : 0.3515

2 : 0.2368

3 : 0.3276

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The function f(17) represent your friend paid for 17 rides and had $42.75 left over.

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

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let f(x) represent the amount that the rider has left over after x rides.

f(x) = -1.25x + 64

f(17) = -1.25(17) + 64 = 42.75

f(17) = $42.75

f(17) represent the money left

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The sequence that contains all the given terms is:

aₙ = -18 + 6*n

Then the correct option is C.

Here we have the elements:

a₃ = 0

a₄ = 6

a₅ = 12

a₆ = 18

a₇ = 24

So each term adds 6 to the previous one, so trivially the relation is of the form:

aₙ = aₙ₋₁ + 6

Now we need to find the first term.

We can rewrite the above equation as:

aₙ₋₁ = aₙ - 6

Then we willget:

a₂ = a₃ - 6 = 0 - 6 = -6

a₁ = a₂ - 6 = -6 - 6 = -12

a₀ = a₁ - 6 = -18

Then the sequence is:

aₙ = -18 + 6*n

Then the correct option is C.

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In the illustration above, a circle with a few lines intersecting at various locations is shown. So, if we split the circle in half, the resulting semicircle has a vertical angle of 180 degrees. Since ∠ROP = 125°, ∠POS = 55° is obtained by taking 180° away from 125°. ∠POS and ∠QOR are equivalent terms. Also, ∠ROP = ∠QOS.

What is lines intersecting?

In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the crossing lines share a common point.

the characteristics of intersecting lines

The intersecting lines (two or more) never cross over at more than one location.

Any angle may be used to intersect the lines in any direction. Always larger than 0° and less than 180°, this angle is generated.

A pair of vertical angles are created by two intersecting lines. The vertical angles have the same vertex and are opposing angles (which is the point of intersection).

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A graph of the given ordered pairs has been plotted as shown in the image attached below.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.

In conclusion, a graph which represents the given ordered pairs shows a discrete function.

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The amount of money Wally and Drake have left to save is equal to $29.96 if each one of them wanted to buy a telescope.

The amount of money left to be saved can be calculated by using an algebraic expression.

First, we determine the cost of two telescopes if each one of them wanted to buy a telescope to see the moons of Jupiter.

As the cost of one telescope is $62.48, the cost of two telescopes will be;

62.48 + 62.48 = 124.96

An algebraic expression can be given as;

95 + x = 124.96

where x is the money left to be saved.

Solving for x;

x = 124.96 - 95

x = 29.96

Hence, $29.96 is the amount left to be saved for each one of them to buy a microscope.

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Answer:

The music service one

[tex]3x+4y=12\implies 4y=-3x+12\implies y=\cfrac{-3x+12}{4} \\\\\\ y = \cfrac{-3x}{4}+\cfrac{12}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+\stackrel{\stackrel{b}{\downarrow }}{3}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer: 17/100, which would be 17%

Step-by-step explanation: