How do variables help you model real-world situations? Give an example of a model that uses variables and explain how it helps people make predictions.

Answers

Answer 1

Variables are an integral part of the equations.
With equations, you can simulate almost any process. For example, you can take the formula for payroll. (P)Payment=(T)the number of hours multiplied by the (R)rate per hour.P=T*R.In this formula, rate per hour (R) is constant (sometimes revised, of course).And the Number of hours worked is variable. Every month the number of hours changes. So, to calculate the payroll helps modeling with the use of a formula.

Related Questions

Paul has grades of 63 and 81 on his first two tests. What must he score on his third test in order to have an average of at least 70

Answers

To get an average of at least a 70, Paul would have to get at least a 66 on his third test.

(60+81+s)/3≥70 multiply both sides by 3

60+81+s≥210 combine like terms on left side

141+s≥210 subtract 141 from both sides

s≥69

So Paul will have to score 69 or more on his next test in order to have an average of at least 70.

Ali needs 4/10 yard of red ribbon and 5/10 yard of blue ribbon to make a tail for her kite. how much ribbon does Ali need in all?

Answers

The answer is 9/10 . So 9 yards of ribbon

4/10 + 5/10 = 9/10. After "kite" the "how" is supposed to be capitalized.

Which class has 32% girls?

Answers

a is the answer i belive

the answer to this question is beginning soap

write an integer for the situation below : 13 feet below the sea level

Answers

It is -13. It is below so negitive

At sea level we would be at 0 feet above the sea. If we are 13 feet below the sea level then we are 0 - 13 or -13 feet below the sea.

So, -13 feet is the answer.

1. Solve -2n + 5 > 7.
2. Kia experimental probability of striking out at baseball is 13%. Out of 30 times at bat about how many times will she strike out?

Answers

1. -2n + 5 > 7
Subtract 5 from both sides
-2n > 2
Divide both sides by -2
n < -1 (change inequality sign when dividing by a negative)

2. 13% of 30 =
.13 * 30 = 3.9
Approximately 4 times

What is a proportion?

Answers

a proportion is an amount of something compared to another, for example:

1 : 2

or

3 : 6

hope this helps

What are the solutions to the equation (2x-5)(3x-1)=0?

Answers

(2x-5)(3x-1)=0

2x-5 = 0 or 3x-1= 0
2x = 5 3x = 1
x = 5/2 x = 1/3

Answer: x=5/2; x=1/3

The answer is C. x = [tex]\frac{5}{2}[/tex] 0r x = [tex]\frac{1}{3}[/tex]

Find the length of the missing side. If necessary, round to the nearest tenth. side A = 38 side b =b side c = 34
A. 51
B. 36
C. 72
D. 17

Answers

A) 51, assuming this is a *right* triangle:

38^2+34^2 = 50.99^2, rounding 51!!

The length of the missing side = side B = 17 (D) or 51(A)

Further explanation

Triangles are flat fields bounded by 3 intersecting sides and 3 angles

This side can be the same length or different.

If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle

There is a hypotenuse in this triangle which is the sum of the two sides

[tex]\large{\boxed{\bold{C^2=A^2+B^2}}[/tex]

where c = hypotenuse

a and b = side/leg

This formula is known as the Pythagorean theorem which states that:

the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.

the sum of the squares of the length of the two sides equals the square of the length of the hypotenuse

While the angle formulas used are

sin a = opposite / hypotenuse cos a = adjacent / hypotenuse tan a = opposite / adjacent

From the problem it is known that side A = 38 ,side b = b, side c = 34

There are 2 possible solutions to this problem because the image does not exist:

1. side A as the hypotenuse side (the longest side) 2. side B as hypotenuse side

Possible Solution no 1

A² = C²+B²(A=hypetenuse)

B² = A²-C²

B² = 38² - 34²

B² = 288

B = √288

B = 16.97, round to the nearest tenth ⇒ 17 (answer D)

Possible Solution no 2

B² = A²+C²(B=hypotenuse)

B² = 38² + 34²

B² = 2600

B = √2600

B = 50.99, round to the nearest tenth ⇒ 51 (answer A)

Learn more

the Sin rule

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trigonometric ratio

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the triangle angle

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Prove the converse of the Pythagorean Theorem

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Use Pythagoras' theorem

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Keywords: Pythagoras' theorem, the trigonometric, hypotenuse

If the divisor is 40 what is the least three digit dividend that would give a reminder four

Answers

The "division algorithm" states that:

Dividend = Divisor × Quotient + Remainder, where R<D

for example:

115 = 7*16+3, tells us that we can fit 7 into 115 at most 16 times,

Back to our problem, the Dividend is a 3 digit number, say abc, the divisor is 40 and the remainder is 4, so we have:

Dividend = Divisor × Quotient + Remainder

abc = 40 × Quotient + 4

we can try some values for the Quotient, but it almost immediately clear that the smallest Quotient that will produce the smallest dividend is 3:

40*2+4=80+4=84 (not 3 digit)
40 * 3 + 4=120+4=124 (the smallest 3 digit dividend)

Answer: 124

99PTS (08.06)The data set shows the number of cars parked in the restaurant parking lot during the lunch hour each day for two weeks: 8 7 14 10 13 27 11 10 14 7 12 9 14 9 Which of the following statements is true based on the data set?

Answers

The outliner is 27, the answer is C

the answer is C hopes it helps

Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements? 0 1 2 infinitely many

Answers

Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.

By calculation, the length of the 3rd side is calculated using cosine law:

c^2 = a^2 + b^2 – 2abcosθ

c^2 = 10^2 + 8^2 – 2(10)(8)cos40

c = 6.44 cm

ANSWER:

1 triangle

A pyramid and prism have the same base area and height. The prism's base area is 8 square units and its height is 16 units. What is the volume of the pyramid? The volume of the pyramid is __________ cubic units. Enter the number that correctly fills in the blank in the previous sentence.

Answers

Prism dimensions:
8 units² (base area)
16 units (height)

Because the dimensions are the same...

Pyramid dimensions:
8 units² (base area)
16 units (height)

The volume for a pyramid = 1/3 ba * h

Substitute and solve.

1/3 8 * 16
= 1/3 (128)
= 42.66...

Therefore the volume is approximately 42.67cm³

The volume of the pyramid with a base area of 8 square units and a height of 16 units is 42.67 cubic units.

The volume of a pyramid is calculated as one-third of the base area times the height. The base area of the given pyramid is 8 square units and the height is 16 units. Using the formula for volume V = rac{1}{3}Ah, where A is the base area and h is the height, the volume of the pyramid can be found as follows:

V = rac{1}{3} imes 8 imes 16

V = rac{1}{3} imes 128

V = 42.67 cubic units (rounded to two decimal places).

Therefore, the volume of the pyramid is 42.67 cubic units.

HELPPP PLEASEEEEEE!?!?!

Answers

a straight line is 180 degrees so we can find C by subtracting 140 from 180

180-140 = 40 degrees

all 3 inside angles need to equal 180 so now we have

180 = 40 + (2x) + (x+2)

180 = 40 +3x +2

180=42+3x

138=3x

x= 138/3 = 46

check : 2x= 2*46 = 92

x+2 = 46+2 = 48

92 +48 +40 = 180

so x = 46 degrees

so angle B = 2x46 = 92 degrees

The triangle above is changed so that the exterior angle shown measures 128 how does this affect angles b and c

Answers

Answer:

the sum of the measures of angle B and angle C will also be 128 degrees meaning that the sum will decrease by 24 degrees.

The value of 4 in 3,492 is how many times the value of 4 in 704?

Answers

100, because in 3,492, it is in the hundreds place. In 704, it is in the one's place. 100/1 is 100. So 100 times greater.

Tony is making small bags of bird sees from a larger bag that weighs 11.16 pounds. If he puts the same amount of seed in each of 6 bags, how much will each bag weigh?

Answers

Tony is dividing the larger bag of bird seeds into 6 smaller bags equally. So, we will divide by 6.

11.16 / 6 = 1.86

So, each smaller bag of bird seeds will weigh 1.86.

5 divided 1 squared plus 1

Answers

6 because 5 divided by 0ne squared is 5 and + 1 is 6

Answer: 6

Step-by-step explanation: Use a calculated bro

The diagonal of a square unit is x units. What is the Area of the square in terms of x

Answers

The diagonal of a square is:

d^2=s^2+s^2

d^2=2s^2 we are told that d=x so

x^2=2s^2

s^2=(x^2)/2

And since the area of a square is s^2, the area of this square is:

(x^2)/2

Or as it is shown in your answer choices...

(1/2)x^2 square units (the top answer :P)

The area of a square with a diagonal x is (1/2)x² unit²

Square

A square is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. All the sides of a square have the same length and each angle measure 90 degrees.

let l represent the length of the side of the square and x be the length of the diagonal. Using Pythagoras theorem:

l² + l² = x²x² = 2l²l = x√(1/2)

Area of square = l * l = x√(1/2) * x√(1/2) = x² * 1/2 = (1/2)x² unit²

The area of a square with a diagonal x is (1/2)x² unit²

Find out more on square at: https://brainly.com/question/8429946

Regroup hundreds as Tens:

8 hundreds 9 tens =

Answers

89 tens because 8 x10 is 80 add the 9
89

Write y less than 21

Answers

I'm assuming you want us to translate the phrase into a mathematical inequality.

"y less than..." means the y variable is less than something. "... 12" Which is 12.

In mathematics we use the < symbol to indicate "less than"

So, y < 12 is the answer.

Answer:

21-y

Step-by-step explanation:

In mathematics the signs used for more than is + and for less than is -.

The question is asking us to write y less than 21 in mathematical statement form.

y less than 21 means 21-y,

Hence the mathematical statement for y less than 21 is 21-y.

Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

Answers

x+y= 27 (we do not know how much of each) {First Equation}
4x+1y = 45 {Second Equation}

subtract x+y=27 from 4x+1y=45 if doing elimination.
(You could do it by either elimination or substitution to get )-----
x=6 that is the number of vanilla wafers.
and y =21 that is the number of Chocolate wafers.
If you need further help, please let me know.....

Answer with explanation:Let x denotes the number of packets of vanilla wafers.and y denotes the number of packets of chocolate wafers.

Vanilla wafers cost $4 per packet

and chocolate wafers for $1 per packet

They spent a total of $45 .

This means that the equation that can be formed using this information is:

4x+y=45

and they buy a total of 27 packets of wafers.

i.e. the equation formed with the help of this information is:

x+y=27

PART A:

The system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival is:

4x+y=45-------------------(1)

and x+y=27----------------(2)

PART B:

We will use the method of substitution because with the help of this method we could easily substitute the value of one variable in terms of the other variable and obtain the answer.

Using equation (2) we have:

y=27-x-------------------(3)

On putting this value of y in equation (1) we have:

4x+27-x=45

i.e.

4x-x+27=45

i.e.

3x+27=45

i.e.

3x=45-27

i.e.

3x=18

i.e.

x=6

and on putting the value of x in equation (3) we have:

y=27-6

i.e. y=21

Hence, number of vanilla wafers purchased = 6

and number of chocolates wafers purchased = 21

DOES ANYONE KNOW THE ANSWER???

Answers

First one is the answer

Consider the following pair of equations: −x − y = −5 y = x + 1 If the two equations are graphed, at what point do the lines representing the two equations intersect? (−2, 3) (3, −2) (2, 3) (3, 2)

Answers

-x - y = -5
y = x + 1

-x -(x + 1) = -5
-x - x - 1 = -5
-2x = -5 + 1
-2x = -4
x = -4/-2
x = 2

y = x + 1
y = 2 + 1
y = 3

solution is : (2,3)

What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?

Answers

(2,-1)(5,-10)
slope = (-10 - (-1) / (5 - 2) = -9/3 = -3

y = mx + b
slope(m) = -3
use either of ur points....(2,-1)...x = 2 and y = -1
now we sub and find b, the y int
-1 = -3(2) + b
-1 = -6 + b
-1 + 6 = b
5 = b

so ur equation is : y = -3x + 5 <==

One side of the triangle is 8 in, and the other two sides are equal to a positive whole number of inches. What is the smallest possible perimeter of the triangle?

F. 9 in
G. 10 in
H. 11 in
J. 15 in
K. 17 in

Answers

In a triangle the sum of two sides is always greater than the third side.

If one side = 8 in and other two sides are equal to a positive whole number, then the smallest possible sum of the other two sides = 9 in ⇒
Smallest possible perimeter = 8 + 9 = 17 in

{ y=x^2-2x-6
y=4x+10

Answers

hello :
here is a solution

draw a diagram of eli's walking pattern

Answers

a. The diagram of the path taken by Eli would look something like this
|
|
|
|
|
|
|
v----------------------------->
---------------<

He travelled down 12 feet towards the door, out of the door towards the yard in 32 feet, and back towards the house in 14 ft.

b. He walked a total of 12 + 32 + 14 = 58 ft

c.
32 - 14 = 18 ft
He is 18 ft from the house (door)

Simplify open parentheses x to the 5 eighths power close parentheses to the 2 thirds power.

Answers

If we are to express the word problem to its mathematical expression,

(x^5/8)^2/3

The concept to be used in order to answer this item is the product of the exponents. If,

(x^m)^n

The final answer would be,

x^mn

If we apply the same principle to the equation above,

(x^5/8)^(2/3)
x^(5/8)(2/3)
x^5/12
Thus, the most simplified form is equal to x^5/12.

Answer:

[tex]x^{\frac{5}{12}}[/tex]

Step-by-step explanation:

[tex](x^{\frac{5}{8}})^{\frac{2}{3}}[/tex]

To simplify it we multiply the exponents inside with exponent outside

[tex](a^m)^n = a^{mn}[/tex]

[tex]\frac{5}{8} *\frac{2}{3}[/tex]

Cancel out 8 and 2

[tex]\frac{5}{4} *\frac{1}{3}[/tex]

[tex]\frac{5}{12}[/tex]

tex](x^{\frac{5}{8}})^{\frac{2}{3}}=\frac{5}{12}[/tex]

Bernard counted 8 posts along the side of the road. If the posts were 20meters apart how far is the first post from the last

Answers

There will be seven spaces between the 1st and the 8th post.
The distance between posts is 20 meters
The distance between the 1st and the 8th post is 20×7 = 140 metres

0, 7, 26, 63, _ , 215.
What is the missing number in the given sequence?
What is the pattern?

Answers

124 easy! :) (need 20 characters lol)

ur pattern is : a(n) = n^3 - 1
1^3 - 1 = 0
2^3 - 1 = 7
3^3 - 1 = 26
4^3 - 1 = 63
5^3 - 1 = 124 <== ur missing number
6^3 - 1 = 215

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