Solve the following system of equations.
5 a-b=17
3 a+2 b=5

Answer:

17

Step-by-step explanation:

the absolute value function always gives a positive result , that is

| - a | = | a | = a

| - 5 | + | 12 |

= | 5 | + 12

= 5 + 12

= 17

Based on the information illustrated,

the relation r on s is reflexive. Therefore, it's true.

If every component of a set X is related to one another, then a relation R over that set is said to be reflexive.

If (a, a) R for all  A, that is, if every element of A is R-related to itself, or if aRa for every a A, then R is set to be reflexive.

In the example question, S is the set of all Park students, and R is a relation over S.

When a relationship is described as xRy, it signifies that x and y have the same biological mother.

This relation is obviously a reflexive relation. xRx means x and x has the same biological mother. In this case, the relation satisfies the requirement for all aR (a,a) R.

Therefore, it's true.

Learn more about reflexive on:

https://brainly.com/question/2416659

#SPJ4

Each sum using distributive property is given as follows:

1) 12+20= 3(4+5)

2) 36+15= 3(12+5)

3) 24+18= 6(4+3)

4) 20+50= 10(2+5)

5) 6+22= 2(3+11)

6) 60+25= 5(12+5)

Given, sum to be represented by distributive property.

1)

12+20= 3(4+5)

Factors of 12 = 2 × 2 × 3

Factors of 20 = 2 × 2 × 5

GCF of 12 and 20 = 4

Take 4 common from 12 and 20.

Representing in a(b+c) .

4(3+5)

2)

36+15= 3(12+5)

Factors of 36 = 2 × 2 × 3 × 3

Factors of 15 = 3 × 5

GCF of 36 and 15 = 3

Take 3 common from 36 and 15.

Representing in a(b+c) .

3(12+5)

3)

24+18= 6(4+3)

Factors of 24 = 2 × 2 × 2 × 3

Factors of 18 = 2 × 3 × 3

GCF of 24 and 18 = 4

Take 5 common from 24 and 18.

Representing in a(b+c) .

6(4+3)

4)

20+50= 10(2+5)

Factors of 50 = 2 × 5 × 5

Factors of 20 = 2 × 2 × 5

GCF of 50 and 20 = 10

Take 10 common from 50 and 20.

Representing in a(b+c) .

10(2+5)

5)

6+22= 2(3+11)

Factors of 22 = 2 × 11

Factors of 6 = 2 × 3

GCF of 22 and 6 = 2

Take 2 common from 22 and 6 .

Representing in a(b+c) .

2(3+11)

6)

60+25= 5(12+5)

Factors of 60 = 2 × 2 × 3 × 5

Factors of 25 = 5 × 5

GCF of 60 and 25 = 5

Take 5 common from 60 and 25.

Representing in a(b+c) .

5(12+5)

Know more about distributive property, here:

https://brainly.com/question/30321732

#SPJ7

The probability, P (yellow), that a yellow chip is drawn from the bag is 4/19.

Probability is a term used in mathematics to determine the likelihood that an incident will take place as in this case is the likelihood that a yellow chip is drawn from the bag.

Probability can be given by the formula:

probability= Number of favorable outcomes ÷ Total number of possible outcomes

Hence, in this problem, the formula for probability will be:

P (yellow) = Number of yellow chips / Total number of chips in the bag

The total number of chips in the bag will be equal to the sum of the chips of all colors.

That is, total number of chips = 3 blue chips + 7 red chips + 4 yellow chips + 5 green chips

Total number of chips = 19 chips

So the probability of a yellow chip being drawn out will be:

P ( yellow) = 4/19

To learn more about probability, click here:

https://brainly.com/question/13604758

#SPJ4

Hello,

[tex]If \: A = \frac{1}{2} bh \: we \: have \: b = \frac{2A}{h} [/tex]

The required percentage of US states having their names starting with W is 8 %. This is gained by using the concept of percentage.

What do you mean by percentage?

The percentage is usually denoted by the symbol '%'. It is defined as the quantity or ratio which is being expressed in a fraction of 100, where 100 is the denominator.

Calculation of the percentage of US states having their names starting with W

Given:

Total states in US = 50

US states that start with the letter W = 4

Fraction in favour of the names of states starting with the letter W is given by = 4 / 50

Therefore the percentage of US states having their names starting with the letter W is equal to the fraction in favour * 100 %

= 4 / 50 * 100 %

= 4 * 2 %

= 8 %

Hence, the percentage of US states having their first letter as W is 8 %.

To learn more about percentages, visit here:

https://brainly.com/question/24877689

#SPJ4:

Answer:

280t^2

Step-by-step explanation:

(7t) (5t x 8)

(7t) (5x8t)

(7t) (40t)

280t^2

Hope this helps u ; )

Ms Patel purchased 38 shares of stock a and 41 shares of stock b

Total amount invested in the two stocks = $825

Value of stock a = $12.41

Value of stock b = $8.62

Let the number of shares of stock a be x

Let the number of shares of stock b be y

Therefore, forming the equation we get:

x + y = 79------(1)

12.41x + 8.62y = 825

1241x + 862y = 82500 ------(2)

Multiplying equation (1) by 862 we get,

862x + 862y = 68098------(3)

Equating equations (2) and (3) we get

379x = 14402

x = 38

Putting x = 38 in (1) we get

y = 41

Hence, she purchased 38 shares of stock a and 41 shares of stock b

Learn more about algebra:

https://brainly.com/question/19245500

#SPJ4

504,327.001510512 will be written in words as Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.

We are given the number:

504,327.001510512

We have to write the given number in words.

We will do this by following the International Number System.

In mathematics, the international number system refers to a representation of numbers which are divided into periods and placed according to their place values. The periods in the international numeral system goes like ones, thousands, millions, billions, and so on.

So, we will write this number as:

Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.

Therefore, 504,327.001510512 will be written in words as Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.

Learn more about International Number System here:

https://brainly.com/question/17200227

#SPJ9

Answer:

441km

Step-by-step explanation:

hope this works :)

The area of parallelogram is Base(B) × Height(H).

The quantity of square units that make up a polygon determines its area. Similar to a carpet or area rug, area is two dimensional.

A parallelogram is a four-sided structure made up of two parallel line pairs. The length of opposing sides and the magnitude of opposing angles are both equal. Multiply the base by the height to determine the area. The equation is:

A = B × H,

where B stands for base

H for height

A parallelogram must have a perpendicular base and height. A parallelogram's lateral sides aren't parallel to the base, though. As a result, the height is represented by a dotted line. Let's examine a few instances when the area of a parallelogram is involved.

To learn more about area of parallelogram from given link

https://brainly.com/question/10744696

#SPJ9

Step-by-step explanation:

4n² + 5n - 636

splitting the middle term

4n² + 53n - 48n - 636 = 0

n(4n + 53) - 12(4n + 53) = 0

(n - 12) (4n + 53) = 0

n = 12 and n = -53/4

Answer:

1. The answer is 8  

20-3-1= $16

$16/2=8

meaning they've only been on 8 games or rides

2. The answer is 17 miles. Every mile = $1 so that means they travelled 17 miles

first u subtract 5 from 22 which will equal 17

3. $0.25

first u add up all the money from each item and then subtract it by 12 and u will get 0.25

Nvm I can  only do 1-3

Step-by-step explanation:

The weight average of the coordinates is 1

The given parameters are:

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

So, we have:

Weight average = (-2 * 1 + 0 * 1 + 3 * 2)/(1 + 1 + 2)

Evaluate the quotient

Weight average = 1

Hence, the weight average of the coordinates is 1

Read more about average at

brainly.com/question/20118982

#SPJ1

An expression to represents the Samuel wanted to rent a bike if rental fee cost $10 plus $5 for each hour is  x=10 + 5h, he can rent the bike for 4hours with $30 budget.

As given,

Let x represents total rental cost

h represents  number of hours

Rental fee=$10

Per hour fee=$5

Expression:

x=10 +5h

Budget x= $30

30=10 +5h

⇒ 5h=20

⇒h=4hours

Therefore, an expression to represents the Samuel wanted to rent a bike if rental fee cost $10 plus $5 for each hour is x=10 + 5h, he can rent the bike for 4hours with $30 budget.

Learn more about expression here

brainly.com/question/14083225

#SPJ1

The box with rhombus and rectangle are the two shapes that each have opposite sides of equal length.

In the options given, the first box has a rhombus and a rectangle.

We know that a rhombus has all four sides of equal length.

This means that opposite sides are of equal length.

We also know that a rectangle has opposite sides of equal length.

In this option, both of them have opposite sides of equal length.

So, this is the correct answer.

The second box has a quadrilateral and a trapezoid.

The trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.

A quadrilateral is a two-dimensional shape that has 4 sides.

In this option, both shapes do not have opposite sides of equal length. So, this is not the right answer to the given question.

The third box has a trapezoid and a parallelogram.

A trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.

We know that a parallelogram has opposite sides of equal length.

In this option, one shape has opposite sides equal but not the other.

So, this is not the right answer to the given question.

The fourth box has a rhombus and trapezoid.

We know that a rhombus has all four sides of equal length.

This means that opposite sides are of equal length.

A trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.

In this option, one shape has opposite sides equal but not the other.

So, this is not the right answer to the given question.

Learn more at:

https://brainly.com/question/8823615

#SPJ9

The number of bowls of clay that is left will be 8/5 lb.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

kai is using clay to make bowls. Each bowl uses 4/5 Ib of clay.

Kai has 2²/₅ Ib of clay.

Then the amount of clay that is left will be

⇒ 2²/₅ - 4/5

⇒ 12/5 - 4/5

⇒ (12 - 4) / 5

⇒ 8/5

The amount of clay that is left will be 8/5 lb.

More about the fraction number link is given below.

https://brainly.com/question/78672

#SPJ2

The translations for this problem are given, respectively, by:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For the first translation, the orientation remains the same, just the positions changes, hence it is translated 9 units to the right and 2 units down.

For the second translation, the rule applied to each vertex was:

(x,y) -> (x,-y).

Hence it was reflected across the x-axis.

For the third translation, the rule applied to each vertex was:

(x,y) -> (-x,y).

Hence it was reflected across the y-axis.

More can be learned about translations at https://brainly.com/question/4521517

#SPJ1

Answer:

D. −18.8b−12.8

Step-by-step explanation:

4(−3.7b − 3.1) − (4b + 0.4)

Use distributive property.

4(−3.7b − 3.1) − (4b + 0.4)=

=−14.8b−12.4−4b−0.4

Combine like terms.

14.8b−12.4−4b−0.4=

=−18.8b−12.8

Hope this helps!

Please mark as brainliest if correct!

Answer:

D

Step-by-step explanation:

i had this question and got it right

The  three segments  of Triangle is (1) 17 cm, 7 cm, 8 cm    

Here, 17 > 7 + 8 or 17 > 15

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

Therefore, the triangle is not possible.    

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.

To  learn more about triangles  from the given link:

brainly.com/question/2773823

#SPJ9

The equation formed for the expression "The difference of 3 times a number and 12 is -24", is 3x - 12 = - 24, which gives the number, x = -4.

In the question, we are asked to write and solve an equation to find the number, given that the difference between 3 times the number and 12 is -24.

We assume the number to be x.

The sentence given to us is the difference between 3 times the number and 12.

Three times the number is 3x.

The difference between 3 times the number and 12 can be shown as 3x - 12.

We are given that the difference between 3 times the number and 12 is -24.

This can be shown as 3x - 12 = - 24.

This is the required equation.

To solve this, we do the following steps:

3x - 12 = -24.

Adding 12 to both sides, we get:

3x - 12 + 12 = - 24 + 12,

or, 3x = -12.

Now, we divide both sides by 3, to get:

3x/3 = -12/3,

or, x = -4.

Thus, the equation formed for the expression "The difference of 3 times a number and 12 is -24", is 3x - 12 = - 24, which gives the number, x = -4.

Learn more about equations at

https://brainly.com/question/13106622

#SPJ9

The graph of  f (x) = |z|  is changed to g(x) = |(z −1)| means; The graph is stretched horizontally and shifted 1 unit to the right.

Transformations simply takes the basic function and transforms it to another function.

The rules of transformation are;

Now, we are told the the graph of  f (x) = |z|  is changed to g(x) = |(z −1)|. This denotes a transformation of moving 1 unit to the right

Read more about Graph Transformations at; https://brainly.com/question/4289712

#SPJ1

Answer:

5p^3q ( 8p^3 + 3p^2q^3 +7q)

Step-by-step explanation:

greatest common factor = GCF

40p^6q + 15p^5q^4 + 35p^3q^2

This expression has 3 terms: 40p^6q , 15p^5q^4 , and  35p^3q^2

Find the GCF for the 3 terms

The coefficient parts are 40, 15 and 35 their GCF is 5

The p part: p^6, p^5, and p^3 their GCF is p^3

The q part: q, q^4, and q^2 their GCF is q

The GCF for the 3 terms is 5p^3q

Factor the expression using the GCF

40p^6q + 15p^5q^4  + 35p^3q^2 =

5p^3q ( 8p^3 + 3p^2q^3 +7q)

The expression which represents a whole number which is the preceding number to a whole number x is; x-1.

Whole numbers are a class of numbers which are otherwise termed, Integers. Furthermore, Integers number values include, 1, 5 and -3 among a host of other numbers.

Hence, if the actual number is; x, then it follows that the number which precedes x is such that it is less than x by 1 unit.

Ultimately, the required preceding number is; x-1.

Read more on integers;

https://brainly.com/question/26478372

#SPJ1

Answer:

150 miles

Step-by-step explanation:

50x3=150

Answer:

The number that gets raised, or multiplied by itself, is called the base. The number of times it is multiplied is called the exponent. Together this is called power.

Answer:

3 + 3 = 6

8 + 8 + 8 = 24

24 + 6 = 30

31 - 30 = 1

1 inch of the board is left