Compare the quantities in Column A and Column B Column A Column B The solutions of 4x - 30 2-3x + 12 The solutions (A) The quantity in Column A is greater. (B) The quantity is Column B is greater. (C) The quantities are equal. (D) The relationship cannot be determined from the inform

Answer:

Step-by-step explanation:

The scale factor here is 3 : 2.

The scale factor is defined as the difference between the new image's and the old image's sizes. A fixed point in the plane is the center of dilation. The definition of the dilation transformation depends on the scale factor and the center of dilation.

A stretched image results from a scale factor of higher than 1.

The image shrinks when the scale factor falls between 0 and 1.

The resulting image is consistent with the source image if the scale factor is 1.

As a result of the dilation modifications, the following characteristics of forms don't change:

The figure's angles are all identical.

The figure's midpoints on its sides and the midpoint of the dilated shape are both preserved.

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Answer: 4/35

Step-by-step explanation: First you need to make the fraction denominators the same so we are going to do multiply 7 x 5 which equals 35 if you don't know your multiplication you can always skip count by 5's so now since we changed the denominators the numerators need to be changes also so the new equation will be 25/35 - 21/35 that equals 4/35 and the fraction cannot be simplified because 1 is the only common divisor

Answer:

4/35

Step-by-step explanation:

Used a calculator and did the math problem in paper

5/7 - 3/5 = 4/35

It is important to note that 757 ÷ 104 using the placement of decimal point changes when divided by a power of 10 is not feasible. I believe you may be referring to 757  ÷ 10⁴ the answer therefore, is 0.0757. See explanation below.

Suppose, as earlier indicated, the question is 757 ÷ 10⁴; that is

757 ÷ (10 x 10 x 10 x 10)

= 757 ÷ 10,000

Using the placement of decimal, we now by the number of zeros that the decimal point will move leftwards of 757 four times.

Note, that the decimal point is moving left because this is a division. In the case of a multiplication, the decimal point of a real number will move to the right.

Hence,

757 ÷ 10000

= 0.0757

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1) Let's plot those points, keeping in mind the first coordinate is on the x-axis, and the second on y:

Then we have A= (2,3) , B = (-4,-1), C= (3,-2) and D=(-2,-1). Notice that the first coordinate refers to the x-axis, and the second one to the y-axis.

A trapezoid, also known as a trapezium, is a closed, flat shape with four straight sides and one pair of parallel sides

The trapezoid KLMN and PQRS are similar:

Then [tex]\frac{KN}{PS}[/tex] = [tex]\frac{NM}{RS}[/tex]

= > 6/12 = 5/RS

=> RS = 2* 5 = 10.

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We have to find the first step to solve the equality:

As the quotient is blocking us from substracting an adding to solve the equation, the first step is to remove the denominator by multiplying both sides by 2.

Then we would get:

And we can continue to solve the equality.

Answer: Option B. Multiply by 2 on both sides.

If a caterpillar eats 1400% percent of its birth mass in one day. The caterpillar's birth mass is 14m grams.

Given data:

Birth mass in one day = 1400%

Hence, we need to formulate an equation and then use the formulated equation to find or determine the caterpillar's birth mass in m grams

1400 / 100m

Now let find the birth mass in m grams using the equation

1400/100m

= 14m grams

Therefore we can conclude that 14m grams is the birth mass.

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Answer:  14m and 1400/100

Step-by-step explanation: just do it !!

The fraction of the students in the band that play either the flute or the clarinet is 4/5.

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The distance Rhea travelled is the perimeter around the triangle.

The first step in finding the perimeter is finding the side lengths and for that, the following distance formula is used.

where (x_1, y_1) and (x_2, y_2) are the coordinates of the two points.

The distance between L(-1,6) and M(-4,2) is

Similarly, the distance between L(-1,6) and K(2,2) is

And the distance between M(-4, 2) and L(2,2) is

Therefore, the perimeter of the triangle is

Hence, Rhea travelled 16 km.

Answer:

The height of the triangle is 3 inches.

Explanation:

Given:

We change the mixed fractions to improper fractions below:

We want to find the height of the triangle.

Recall that the area of a triangle is calculated using the formula below.

Substitute the given values:

Multiply the numerators and denominators on the right side of the equation.

Multiply both sides by 10.

To solve for the height, divide both sides by 17.

The height of the triangle is 3 inches.

We need to solve the system:

The first step is to isolate one of the variables and replace it at the other equation. We will isolate the "x" variable on the first equation:

Then we replace this value on the second equation:

We can use this value to determine x.

The solution to the system is (-6/11, 13/33)

Answer: The function Indicated is a piecewise function, and the price for the 2.01 ounces is as follows:

Solution

We want to complete the square of

Firstly, let us look at how to complete a square.

Consider the illustration below

Thus, we have

Answer:

slope = -1/2

Y-intercept = (0,2)

Step-by-step explanation:

The sum of three consecutive numbers is 111.

Consecutive Numbers: Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1, 2, 3, 4, 5, 6, and so on are consecutive numbers.

Let the three consecutive numbers are : x , x + 1, x +2

Since the sum of three consecutive number is 111

x + (x +1 ) + (x +2) = 111

Simplify :

x + x + 1 + x + 2 = 111

x + x + x + 1 + 2 = 111

3x + 3 = 111

3x = 111 - 3

3x = 108

x = 108/3

x = 36

So, the first number is x : x = 36

Second number is : x + 1= 36 + 1 = 37

Third Number is : x + 2 = 36 + 2 = 38

Numbers are : 36, 37, 38

Smallest number in 36, 37 & 38 is 36

Smallest number = 36

Answer : 36

Answer:

Step-by-step explanation:

Clues to recognize the graph:

-The graph will cross from the first quadrant into the third quadrant.

-The graphs of cubed equations are looking like an S shape.

-The graph must cross at y = 1 because when x is zero y is 1

If x=0 in our equation y= x^3 + x^2 + x + 1 will be y=1

-The graph must have a zero at x= -1 because if we rewrite the equation

y= x^3 + x^2 + x + 1 = (x+1)(x²+1) and here we see that one of the roots or zeros is (x+1) = 0, x= -1

Answer: D. on Edge 2023

Step-by-step explanation:

I took the test

Data

number of commuters = 7900

percent needed = 1%

Rule of three

7900 ------------------------ 100%

x

To get the number of sinks that would be needed to fill the bathtub, divide the total capacity of the bathtub by the capacity of one sink:

This way, 33 sinks would be needed to fill the bathtub.

Answer: Option C

Given the equation:

to write it in slope intercepept form, we have to solve for y the expression.

In this case, we have the following:

thus, the equation in slope intercept form i s y = 1/3x+6

Since all the points proportional to (2,5) follow the equation 2y = 5x, (x,y) is a solution to y=5/2x

Accordingly 2y= 5x is the same as y/x = 5/2 . Since the equation y = 5/2x is a line with y-intercept equal to 0 , there is a line which passes through points (x,y) and (2,5). The true statements are: first, third and fifth statements.

The meaning of the y-intercept in this situation is that: D. when the cab travels 0 miles, the total fee will be $10.00.

Mathematically, the slope of a straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

From the table, we have the following parameters:

Points (x, y) = (2, 5) and (13.00, 17.50)

Next, we would calculate the slope as follows:

Slope = (17.50 - 5)/(13.00 - 2)

Slope = 12.50/11.

Slope = 1.14.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

Where:

Substituting the given parameters into the standard equation, we have;

y - 13.00 = 1.14(x - 2)

y - 13.00 = 1.14x - 2.28

y = 1.14x - 2.28 + 13.00

y = 1.14x + 10.72

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Answer:

Thats nice

Step-by-step explanation:

Answer:

5 three hour classes and 27 four hour classes

Step-by-step explanation:

Convert these words into equations

Since one hour is 36, we can write two expressions for the 2 different classes: 108x and 144y (the amount of money from those classes)

x is the number of 3 hour classes, y is the number of 4 hour classes

Since the amount of money the studio makes is 4428, 108x+144y=4428

Since there are a total of 32 classes, x+y=32

So we now have the equations x+y=32 and 108x+144y=4428

Solve for x in the first equation (in order to substitute it into the second one)

we get x=32-y

plugging this into the second equation gives

108(32-y)+144y=4428

3456-108y+144y=4428

Combining like terms gives 36y=972

y=27

So there are 27 four hour classes, and 5 three hour classes( because 32-27=5)

Find x in the following expressions:

9^x = 3 in this case, x has to be 1/2 (square root) in order to render 3 as an answer, given that 3^2 = 9

Then x = 1/2 in this first case

Second case:

3^x = 1 In this case, we use the property of exponent zero, which always renders 1

Last case x^3 = 9

7.5 components yellow paint should be mixed with 5 parts violet paint.

Moss green is created by combining violet and yellow paint in a 2 to 3 ratio. You're interested in learning how many parts of yellow paint to combine with five parts of violet paint.

Proportion

There are various ways to express the proportion. The unknown value is often placed in the numerator. (x is the quantity of yellow paint in parts)

Yellow: violet equals 3: 2; x; and 5

The ratio, expressed as a fraction, is

3/5=x/5

5*3/2=X  multiply by 5

15/2=x=7.5 simplify

7.5 parts yellow paint to 5 parts violet paint.

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Ok, so

We have the next system of equations:

The first equation is a line, and the second one is a parable.

If we graph, we would get the following:

Then, we notice that there's two intersection points between both graphs.

These points are located at ( -1 , -3 ), and ( 2 , -6)

Therefore, there are two solutions for this problem.

x = -1 and y = -3,

x = 2, and y = -6

Now, how to graph each equation?

First one, take the line y = -x-4

Notice that this equation tells us that the line given has its intersection with y-axis at ( 0 , -4 )

We also know that a line is formed with two points, so we could replace by any "x" number and see which value "y" takes.

For example:

If x = 1,

y = -1-4, which is y = -5

So we got other point: ( 1, -5).

Now, we just join both points and we get the line, like this:

And that's how you can graph the line.

Now, how could we graph the parable?

We know that we have to take three points to join to graph a parable. So, first, we would find its intersections with x - axis, if we equal the equation to zero.

x² – 2x - 6 = 0

If we solve this equation, we obtain that x could take two different values.

To solve it, we use the next equation:

x = 1 - √7 or

x = 1 + √7.

Then, we actually have two points.

Now, finally, we could find its vertex.

If we find the vertex of the parable, we notice that it is located in (1,-7)

Now, we just join these three points as this:

And if we put these graphs together, we obtain the first graph I drew, and notice that the solution for the system is the intersection between both functions.