How do variables help you model real-world situations? Give an example

Answers

Answer 1

Variables help you model real-world situations by allowing you to assign certain symbols to a variable or factor. You can easily identify what are the dependent variables and independent variables. Also, you can easily know what to vary to know how much will change to an independent variable. You can predict what most likely happen in the real world.

Related Questions

please help! I have a deadline tonight!!!!

Answers

so the y-intercept means you can put a point at the coordinates (0,-2). the slope is 3/2 so from there you can go up 3 and over 2 to the point (2,1) and so on. you can also continue the line the other direction by going down 3 and to the left 2 to get the point (-2,-5)

The equation would be:

y = 3/2x - 2
or
y = 1.5x - 2

To graph it, make a point at (0, -2) (the y-intercept).
Each unit to the right, increase the y axis by 1.5
Each unit to the left, decrease the y axis by 1.5

Stuart is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%,what is the sale price of the jeans including tax?

Answers

The sale price of the jeans including tax is going to add up to be $34.56.

Simplify six to the -3rd power over six to the fifth power

Answers

1/6^8 or 1/1679616. The negative 3 becomes a positive 3 in the denominator

Solve 2a 2 - 3a - 2 = 0

{-1/2, 2}
{1/2, -2}
{}

Answers

Apply slip and slide
a^2-3a-4
(a-4)(a+1)
(a-2)(2a+1)

Find zeros
a-2=0
a=2

2a+1=0
2a=-1
a=-1/2

Final answer: {-1/2, 2}

The answer is {-1/2, 2}

Solve the system of equations.
11x+4y=-46
7x-4y=10

Answers

11x+4y=-46
7x-4y=10
---------------add
18x = -36
x = -2

7x-4y=10
7(-2)-4y=10
-4x = 24
y = - 6

answer
(-2,-6)

The solution is x = -2 and y = -6.

What are linear equations?

First-order equations are linear equations. The coordinate system defines the linear equations for lines. A linear equation in one variable is one in which there is only one variable and the equation has a homogeneous variable of degree 1. There can be more than one variable in a linear equation. When there are two variables in a linear equation, it is referred to as a "linear equation with two variables" and so on.

Given equations 11x + 4y = -46

and 7x - 4y = 10

add both equations

11x + 4y + 7x - 4y = -46 + 10

18x = -36

x = -36/18

x = -2

substitute the value of x in equation

11x + 4y = -46

11(-2) + 4y = -46

4y = -46 + 22

4y = -24

y = -6

Hence the solution for given equations is x = -2 and y = -6.

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What is the value of x/3y , when x = 18 and y = 3?

3/18

2

3

6

Answers

x = 18

y = 3

x/3y becomes 18/3(3) = 18/9 = 2

Answer is 18/(3*3)=18/9=2

Suppose you roll two standard number cubes once. Find the probability. P(7 or even)

Answers

To roll a seven you could have (1,6) (6,1) (2,5) (5,2) (3,4) (4,3)

6 different ways so 6/36 reduces to 1/6 way of getting a 7

For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 ways, probability is 18/36 reduces to ½

So for either one you now have 1/6 + 1/2 = 6+2/12 = 8/12 reduced to 2/3

25/150 in simplest form

Answers

The answer i came up with was 1/6

The GCF between 25 and 150 is 25.
Divide bothe the numerator and denominator by 25 to get the simplest form.
25/25=1
150/25=6
Final answer: 1/6

how do you reduce the fraction of 28/49

Answers

28/49

reduce by 7

28/7 4

---- = ----

49/7 7

your answer will be: 4/7

hope this helps :D

reduce by 7

28/7 4

---- = ----

49/7 7

your answer will be: 4/7

If f(x)=6x and g(x) = 4x+1, find ( f o g)(x)

Answers

(f○g)(x)=f(g(x))

(f○g)(x)=6(4x+1)

(f○g)(x)=24x+6

The answer would be 24x+6

What type of stock receives an equal part of the profits on each share to be distributed after all other obligations of a company have been satisfied?

Answers

the type of stock you are refering to is common stock

Find the area of the composite figure.Use 3.14 for pi.

Answers

area for the triangle section is 1/2 x b x h: 1/2 x 16 x 10 = 80 square m

area for half circle = 1/2 x 3.14 x 8^2 = 100.48 square m

100.48 + 80 = 180.48 square meters

Please help!! I attached an image, will give most brainliest

Answers

F because 0 | 2 means 02

Using the key, we know that the values are 02,02,02,07,11,13,17,17,18,20,20,27,34,34,35, and 35.
The stem is the value in the left and the leaf is the values listed on the right side of the table. In this case, it represents the tens and ones place.
The smallest of those values are 2 which is answer choice F.

A bicycle wheel makes 5 revolutions. Determine how far the bicycle travels in feet. The diameter of the wheel is 32in.

Answers

Circumference - 2(pi)r. r=1/2(diameter). 1/2*32=16. 2(pi)16=100.53in. Due to the 5 rotations, you then multiply 100.53*5=502.65. 12 inches = 1 foot, so divide 502.65/12=41.8875ft

In a casino, the chance of winning a certain game is 14.5%. If you play the game 20 times, what’s your best estimate for the number of times you would win? Round off your answer to the nearest whole number.

Answers

expected number of wins=number of plays times the probability of winning

w=20(14.5/100)

w=20(0.145)

w=2.9

w≈3

So you would expect to win 3 times out of 20 attempts (rounded to the nearest whole number of wins)

Daniel and Sofia both solve this system of equations: y = -1.5x + 5.7 y = 0.5x + 0.3 Daniel's solution is (1.1, 2.4). Sofia's solution is (2.7, 1.65). They graph the equations to check their work. Based on the graph, whose solution is more likely to be correct?Daniel is more likely to be correct. The x-coordinate of the intersection is between 1 and 2 and the y-coordinate of the intersection is between 2 and 3. Sofia is more likely to be correct. The x-coordinate of the intersection is between 2 and 3 and the y-coordinate of the intersection is between 1 and 2. or niether

Answers

y = -1.5x + 5.7
y = 0.5x + 0.3

-1.5x + 5.7 = 0.5x + 0.3
-1.5x - 0.5x = 0.3 - 5.7
-2x = - 5.4
x = -5.4/-2
x = 2.7

y = 0.5x + 0.3
y = 0.5(2.7) + 0.3
y = 1.35 + 0.3
y = 1.65

solution is (2.7, 1.65)

Sophia is more likely to be correct because the x coordinate is between 2 and 3 and the y coordinate is in between 1 and 2

Answer:

Sofia is more likely to be correct

Step-by-step explanation:

A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?

Answers

it is A hope i helped

A sphere has a radius of 3 and a hemisphere has a radius of 6. Compare the ratio of the volume of the sphere to the volume of the hemisphere.

Answers

S=(4πr^3)/3, H=(4πr^3)/6

S/H=2rs^3/rh^3

S/H=(2*3^3)/6^3

S/H=54/216

S/H=1/4

So the volume of the hemisphere is 4 time the volume of the sphere.

Volume of a sphere:
V=4/3 π r³

V=4/3 π 3³ = 113.097335529

Volume of a Hemisphere:
V=½(4/3 π r³)

V=½(4/3 π 6³) = 452.389342117

113.097335529 to 452.389342117

Pretty much 1/4 right on the nuts (0.24999999999944737866981989309472)

Sarah received $55 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.
How much money does Sarah have left?
Write your answer as an expression.

Answers

There is not enough information so this equation is an unsolvable.
You could figure out the equation if the 3 were M and M had a number but this is unsolvable. SORRY

55-3m = 22

m=11

each shirt is $11

A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone is what shape?

Answers

Answer:

The answer is a triangle.

Step-by-step explanation:

A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone - The shape will be a triangle.

A cone has one circular base with two slant heights that are attached at the vertex. When it is cut in such a way that the cross-section is perpendicular to the base and it passes through the vertex or apex, then a triangle is formed.

For better visualization, you can also see the attached image.

A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone - The shape will be a triangle.

The answer is a triangle.

A cross-section of a cone taken perpendicular to the base and intersecting the apex of the cone is a triangle.

When you cut a cone perpendicular to its base and through its apex, the resulting cross-section will be a triangle. The shape of the cross-section depends on the angle at which you make the cut. If the cut is parallel to one of the sides of the cone, the cross-section will be a right-angled triangle.

If the cut is made at an angle to the sides of the cone, the cross-section will be an isosceles or scalene triangle.

In any case, the cross-section will always be a triangular shape with its vertices at the apex of the cone and the points where the cut intersects the base of the cone.

A cone has one circular base with two slant heights that are attached at the vertex. When it is cut in such a way that the cross-section is perpendicular to the base and it passes through the vertex or apex, then a triangle is formed.

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Of the 240 shirts on a rack, 40 percent are size medium. How many shirts on the rack are size medium?

Answers

First, let’s check for the given:

Shirts on the rack = 240

Medium size shirts = 40% of 240

With the following given, we can now solve for the total number of shirts on the rack that are size medium.

So, in order to solve for the problem, we multiply 40% to 240:

The decimal equivalent of 40% is 0.4.

240 shirts * .4 = 96 shirts

Therefore, out of 240 shirts on the rack, there are 96 shirts on the rack that are size medium.

To add, the number or ratio that represents a fraction of 100 is called a percentage.

Pls solve 7x-4(6-x)+12 and show steps pls.

Answers

7x - 24 - -4x +12
7× - 24 + 4x + 12
Combine like terms
7x + 4x -24 + 12
11x - 12

Evaluate the expression : (0.4)^3=

Answers

.064 is the evaluation for (0.4)^3

The expression when evaluated, can be found to be 0. 064.

How to evaluate the expression ?

( 0 . 4 ) ³ means raising the number 0. 4 to the power of 3 , which is the same as multiplying 0. 4 by itself three times. This is how the expression is evaluated.

Start with:

0 . 4 * 0 . 4 * 0 . 4

Calculate each multiplication step:

1st multiplication: 0 . 4 * 0 . 4 = 0 . 16

2nd multiplication: 0 . 16 * 0 . 4 = 0 . 064

So, when you multiply 0. 4 by itself three times ( 0 . 4 * 0 . 4 * 0 . 4), you get the result of 0 . 064.

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Which is the general form of the equation of the circle shown? x2 + y2 + 4x – 2y – 4 = 0 x2 + y2 + 4x – 2y + 2 = 0 x2 + y² – 4x + 2y – 4 = 0 x2 + y² – 4x + 2y + 2 = 0

Answers

For the first picture, the center is (-2,1) and the radius is 3.
For the second picture, the center is (-2,1) and the radius is square root of 3.
For the third picture, the center is (2,-1) and the radius is 3.
For the last picture, the center is (2,-1) and the radius is square root of 3.

Answer:

THE ANSWER IS A

Step-by-step explanation:

if a polynomial has one root in the form a+√b , it has a second root in the form of a_√b

Answers

When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.

The first factor is x - (a + √b).
The second factor is x - (a - √b).

The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b

This is a quadratic polynomial, as expected.

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.

Answer:

a - √b

Step-by-step explanation:

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.x = (1/2) [ 2a +/- √(4a² - 4(a² - b)] = a +/- (1/2)*√(4b) = a +/- √bx = a + √b, or x = a - √b, as expected.

True or false, the product of two rational numbers is never equal to 1.

Answers

The answer is true the product of two rational numbers is never equal to 1

Final answer:

The product of two rational numbers can indeed be equal to 1. For example, 2/3 (two-thirds) and 3/2 (three-halves) are both rational numbers, and their product is 1.

Explanation:

The product of two rational numbers can indeed equal to 1. This is a False statement. For example, if we take 2/3 (two-thirds) and 3/2 (three-halves), both are rational numbers because they can be expressed as fractions, i.e., ratios of two integers. In this case, if we multiply these two numbers together, i.e., (2/3)*(3/2), we get 6/6, which equals 1. Therefore, it's possible that the product of two rational numbers can equal 1, hence proving the provided statement to be false.

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PLease Answer!

The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610.
Let x represent any year. Write an inequality in terms of x and 1610 that is true only for values of x that represent years after the year the Mali Empire fell.

Answers

The years that represent the year the Mali Empire fell starts from 1611 onwards. These numbers will be larger than 1610, hence the inequality is x > 1610

The year 1610 is not inclusive as this is the year when the Empire fell

the answer is x>1610

-cz+6z=tz+83 solve for z

Answers

-cz+6z=tz+83 solve for z

6z - cz - tz = 83
z (6 - c - t) = 83
z = 83 / (6 - c - t)

hope that helps

Answer:

The value of the equation for z is [tex]z=\frac{83}{6-c-t}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]-cz+6z=tz+83[/tex]

Subtract tz from both the sides.

[tex]-cz+6z-tz=tz-tz+83[/tex]

[tex]-cz+6z-tz=83[/tex]

Take z common.

[tex]z(-c+6-t)=83[/tex]

[tex]z(6-c-t)=83[/tex]

Divide 6-c-t from both the sides.

[tex]\frac{z(6-c-t)}{6-c-t}=\frac{83}{6-c-t}[/tex]

[tex]z=\frac{83}{6-c-t}[/tex]

Thus, the value of the equation for z is [tex]z=\frac{83}{6-c-t}[/tex].

517.21 km what is the nearest 10km?

Answers

To round to the nearest 10, we must look at the tens and ones place (1 and 7). Because the ones place has a value greater than or equal to five, it rounds up.
Final answer: 520 km

Write 2 expressions that represent the areas of 4 triangles

Answers

2-9x and 17x - 8x +2

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