write an equivalent expression for each of the following ​

To divide 530 by 34, divide the quotient and the remainder. The whole number part of the quotient is 14 and the remainder is 54.

To divide 530 by 34, we start by determining how many times 34 can fit into 530. We find that 34 can fit into 530 fourteen times. So, the whole number in the answer is 14. Now we calculate the remainder by subtracting 14 times 34 from 530. The remainder is 530 - (14 * 34) = 530 - 476 = 54.

Therefore, the answer to 530 divided by 34 is 14 with a remainder of 54.

Answer:

(-6, -2)

Step-by-step explanation:

When trying to find the solution to a system of equations on a graph, the solution is where the lines intersect.

The lines intersect at (-6, -2).  This is the solution.

The solution of the system of equations is,

⇒ (-6, -2)

We have to given that;

Graph of system of equations are shown in image.

Since, We know that;

In the graph the solution of system of equations is the intersection point of system of equations.

Hence, By definition, we get;

The solution of the system of equations is,

⇒ (-6, -2)

Therefore, Option 1 is true.

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Answer:

x=4     x = 3/2

Step-by-step explanation:

3(x – 4)(2x - 3) = 0

We can use the zero product property

x-4 =0   2x-3=0

Solve each equation

x-4 =0     2x-3=0

x=4         2x=3

              x =3/2

The number 2 is a factor of 4k, 18k and 12 since

4k = 2*2k

18k = 2*9k

12 = 2*6

It is also the largest common factor of all three expressions.

4 wouldn't work because 4 is not a factor of 18

2k doesn't work, and neither does 4k, since k is not present in 12.

Answer:

Quadrant 1

Step-by-step explanation:

The terminal side of the angle whose measure is 40° falls in quadrant I.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To determine the quadrant in which the terminal side of an angle falls, we need to look at the direction in which the terminal side moves from the origin.

If the terminal side moves to the right of the origin, it is in quadrant I or IV; if it moves to the left of the origin, it is in quadrant II or III.

The angle whose measure is 40° starts on the positive x-axis and moves in a counterclockwise direction.

Since 40° is less than 90° the angle will move less than 90° counterclockwise from the x-axis.

The terminal side of the angle will fall in quadrant I, which is the quadrant that lies to the right of the positive x-axis and above the positive y-axis.

Hence, the terminal side of the angle whose measure is 40° falls in quadrant I.

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second graph

Step-by-step explanation:

Doesn't really look like a negative correlation to me but the closest would be first one if there is a option for no correlation that'd be right too.

Answer

660

Step-by-step explanation:

to find the distance covered in one revolution, we need to find the circumference of the circle.

Radius of wheel is  

=  2.1 / 2

=  1.05 m

Distance traveled when 100 revolutions are completed :  

=  100 x circumference of the wheel

=  100 x 2 x (22/7) x (1.05)

=  100 x 2 x 22 x 0.15

=  660 m

Distance traveled when it completes 100 revolutions is 659.4 meter

Diameter of a cart wheel = 2.1 m

Distance traveled when it completes 100 revolutions

Radius of wheel = 2.1 / 2

Distance traveled when it completes 100 revolutions = [2πr]100

Distance traveled when it completes 100 revolutions = [2(3.14)(2.1 / 2)]100

Distance traveled when it completes 100 revolutions = [(3.14)(2.1)]100

Distance traveled when it completes 100 revolutions = 659.4 meter

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Answer:

Step-by-step explanation:

Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.

The vertex of a parabola is the point at the top or bottom of the parabola.

'h' is -6, the first coordinate in the vertex.

'k' is -4, the second coordinate in the vertex.

'x' is -2, the first coordinate in the other point.

Answer:

Choice:  O x> 1 or x<7

My solution is: x < 7 OR  x > 1

Step-by-step explanation:

| x - 4 | < 3

x - 4 < 3    OR   x - 4 > -3

x < 3 + 4   OR   x > -3 + 4

x < 7 OR  x > 1

Answer:

5:2 is the answer

Step-by-step explanation:

858 days

Step-by-step explanation:

take 33*1.3*20

Answer:

its not 858 just took test and only one i got wrong

Step-by-step explanation:

Answer:

the missing side is the same thing as the existing side. if you just take that triangle you see and flip it over, it will make a square. therefore, the length of the missing side is the same as the length of the existing side. sorry if this doesn't make sense haha

Step-by-step explanation:

Answer: 5/13

Do Keep Change Change (KCC)

Keep: 1/1

Change - into +

Change: 8/13 into -8/13

Remove

1/1 it becomes 13/13

Your new Problem: 13/13+-8/13

Add

13+-8/13=5/13

Answer:

the third one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Both the claims by the companies are not possible.

Step-by-step explanation:

Equations modeling number of employees 'y' after 'x' years of the start are,

For company R: y = 3x +24

For company T: y = 4x + 10

If Company R states that this year they have 42 employees,

42 = 3x + 24

3x = 42 - 24

x = [tex]\frac{18}{3}[/tex]

x = 6 years

So company has completed 6 years this year.

Now we put x = 6 years in the equation for company T.

y = (4×6) + 10

y = 24 + 10

y = 34

Which doesn't match with the number of employees of the company R.

Therefore, claim of company R is not possible.

Company T stated that after 15 years they will have the same number of employees as company R.

For company T : y = 4(15) + 10

                           y = 70 employees

For company R : y = 3(15) + 10

                           y = 45 + 10

                          y = 55 employees

Therefore, claim of the company T is also not possible.

Given the equations that model the number of employees y, at these companies x years after the companies began expressed as:

Company R: y = 3x + 24

Company T: y= 4x + 10

If both companies has the same number of employees, then;

3x + 24 = 4x + 10

3x - 4x = 10 - 24

-x = -14

x = 14

Since 14 ≠ 42 that company R claimed, hence the company does not have the same number of employees as company T has this year.

Functions and values

Given the equations that model the number of employees y, at these companies x years after the companies began expressed as:

Company R: y = 3x + 24

Company T: y= 4x + 10

If both companies has the same number of employees, then;

3x + 24 = 4x + 10

3x - 4x = 10 - 24

-x = -14

x = 14

Since 14 ≠ 42 that company R claimed, hence the company does not have the same number of employees as company T has this year.

Since 14 ≠ 15 that company T also claimed, hence the company does not have the same number of employees as company T has this year.

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Answer:

3sqrt(5)

Step-by-step explanation:

sqrt(45)

sqrt(9*5)

We know the sqrt(ab) = sqrt(a) sqrt(b)

sqrt(9) sqrt(5)

3sqrt(5)

Answer:

C. 3 and the square root of 5

Step-by-step explanation:

45/9=5

Square root of 9 is 3

Left over: rad 5

3 and the square root of 5

Answer:

she would need to pay 70 Nickles to get to $3.49 and she would get 1 penny back.

Answer:

where is part b? Part A is 4/13

Step-by-step explanation:

this is because in total there are 13 marbles. and when you pull out a marble. 4 of them can be red. you can simplify that fraction if need be.

Answer: y=0.074x+50.48

Step-by-step explanation:

The solution is : B. y = 0.097x + 11.142

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

In order to find the best equation to descibe the housing price, we have to calculate the slope of the line  first.

The equation of the line can be written as

y = mx + q

where m is the slope and q the y-intercept.

In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:

(1900, 196)

and

(2200, 225)

The slope of the line is calculated as:

m = y2-y1/x2-x2 = 0.097

So, the slope of the line is 0.097.

Therefore, the correct option is the only one having a slope of 0.097, which is:

B. y = 0.097x + 11.142

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complete question:

Based on housing data below which equation can be used to calculate fair housing prices?

Square feet

1900

2000

2200

house price (in the thousands 19)

196

205

225

A. y = 0.087x + 9.286

B. y = 0.097x + 11.142

C. y = 0.074x - 50.48

D. y = 0.087x - 9.286

Answer:

( -10, 5 )

Step-by-step explanation:

( i used Desmos, you should try it )

:)

Answer:

its c

Step-by-step explanation:

Final answer:

Cross sections of a square pyramid can include a trapezoid, a triangle, or a square. A circle or a pentagon are not possible shapes for these cross sections because they don't align with the pyramid's geometric structure.

Explanation:

The cross section of a square pyramid could be either a trapezoid, a triangle, or a square, depending on the plane's angle relative to the pyramid's base and sides. A circle or a pentagon cannot be cross sections of a square pyramid since they do not conform to the sides or base of a square pyramid.

A trapezoid cross-section can be obtained if the cutting plane is parallel to one base edge and intersects the other three edges of the pyramid. A triangle appears when the cutting plane passes through one vertex and cuts through the base, creating a cross section congruent to the faces of the pyramid. Lastly, a square section results when the cutting plane is parallel to the base and slices through the pyramid.

hi y'all I am new to this so can y'all help me

4*5-3*4

20-12

=8

Just plug in the numbers and solve. Remember that you multiply before you subtract.

Answer: 8

Step-by-step explanation: it was correct when I did it

The surface area of the cylinder is [tex]\( 904.32 \, \text{cm}^2 \)[/tex]

The surface area (A) of a cylinder is given by the formula:

[tex]\[ A = 2\pi r^2 + 2\pi rh \][/tex]

where:

- [tex]\( r \)[/tex] is the radius of the base,

- [tex]\( h \)[/tex] is the height,

- [tex]\( \pi \)[/tex] is a constant approximately equal to 3.14.

Given the values:

- Radius [tex](\( r \))[/tex] = 8 cm

- Height [tex](\( h \))[/tex] = 10 cm

- [tex]\( \pi \)[/tex] = 3.14

Plug these values into the formula:

[tex]\[ A = 2 \times 3.14 \times (8)^2 + 2 \times 3.14 \times 8 \times 10 \][/tex]

[tex]\[ A = 2 \times 3.14 \times 64 + 2 \times 3.14 \times 80 \][/tex]

[tex]\[ A = 401.92 + 502.4 \][/tex]

[tex]\[ A = 904.32 \, \text{cm}^2 \][/tex]

Therefore, the surface area of the cylinder is [tex]\( 904.32 \, \text{cm}^2 \)[/tex].

The surface area of a cylinder is calculated using the formula A = 2πr² + 2πrh, combining the areas of the top and bottom circles and the side surface.

To find the surface area of a cylinder, we need to add the areas of the two circular bases and the lateral surface area. The formula for the surface area of a cylinder is:

A = 2πr2 + 2πrh

where r is the radius of the circular base and h is the height of the cylinder. In this case, you can use a value of ~3.14 for π (pi) and round your answer to the nearest hundredth.

To calculate the surface area of a cylinder, you need to know the radius of the cylinder and its height. The formula for the surface area (A) of a cylinder is A = 2πr² + 2πrh, where r is the radius, and h is the height. This includes both the areas of the top and bottom circles (2πr²) and the area of the side surface (which is the circumference of the circle times the height, 2πrh). If the student provides the dimensions of the cylinder, use them to plug into this formula and calculate the surface area.

Answer:10

Step-by-step explanation:

The number of outcomes can vary based on whether the marbles are replaced or not after each draw.

The number of outcomes in the sample space when Maria draws a marble from the bag at random varies depending on the conditions:

The key factor affecting the number of outcomes is whether the marbles are replaced between draws.

Answer:

C

Step-by-step explanation:

It makes the most sense.

Answer:

honestly it seems as if c is a reasonable answer

Step-by-step explanation:

Answer:

(Shown Below)

Step-by-step explanation:

Based on the table shown, the answers are as follows:

1. -5, 30, 35

2. June

3. November

4. June

Hope I helped! Please give me brainliest!

Answer: The height is 12 inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume: area x height

Replacing with the values given:

972 cubic inches = 81 square inches x h

Solving for h (height)

972/81 = h

12 inches =h

The height is 12 inches.

Feel free to ask for more if needed or if you did not understand something.