Ryan will drive his car in spain. the speedometer in the car shows the speed in miles per hour only. he will be driving on a road with a speed limit of 100 kilometres per hour. ryan uses this rule to find this speed in miles per hour.

Answer:

-4

Step-by-step explanation:

If the points are collinear, then all the points are on the same line. Any two points will have the same slope.

x and y, x and z, y and z, all have the same slope, -4.

The solution of simultaneous equations is x=4 and y = -1.

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations.

We can solve simultaneous equations by various methods. here we will solve it by elimination method.

Here we have two simultaneous equations

      3x -2y = 14 --- (i)

and 4x + 3y = 13---(ii)

Now multiplying (i) by 3 and (ii) by 2 we get

 9x -6y = 42 and 8x + 6y = 26.

Now adding both we get

17x = 68 ⇒ x = 68/17 ⇒ x = 4.

Substituting the value of x in (i), we get

3*4 - 2y = 14 ⇒ -2y = 14-12 = 2 = -2/2 ⇒ y = -1.

Therefore, the values of x and y are 4 and -1 respectively .

To know more about simultaneous equations, visit

https://brainly.com/question/16863577

#SPJ4

NOTE : The question given here is not complete. The complete question is given below.

Question: What is the solution of the simultaneous equations 3x- 2y= 14 and 4x+ 3y= 13?.

The total amount owed by Erica after 5 years is $10865

From the question, we have the following parameters:

Also from the question, the formula to determine the compound interest formula to be represented as:

A = P(1 + r/n)^nt

Where the values of the variables have been stated above

Solving further, we replace the variables with their values in the above equation

So, we have the following representation

A = 5300 * (1 + (8%/12))^(6*12)

Evaluate the expression

A = 10865

Hence, the value of the amount after 6 years is $10865

Read more about compound interest at:

https://brainly.com/question/2455673

#SPJ1

Answer:

18/7

Step-by-step explanation:

check this might work as I simply

Answer:

5/4

Step-by-step explanation:

Count up from the first point to the line where the second point lies, then write that number and count to the side till you reach the second point which would give you 5/4.

The length of the side chosen in order to make the cardboard box is 7cm in the square.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

We are given that rajiv wishes to make a cube without lid with cardboard.

5a² = 245 sq.cm

a² = 245/5 = 49

a = 7 cm

Hence the length of the side chosen in order to make the cardboard box is 7 cm.

Learn more about square, by the following link.

https://brainly.com/question/25092270

#SPJ4

Answer:  Total distance 2√10

Step-by-step explanation:

Answer: nothing it’s a variable

Answer:

3-1/2 - (-1 3/10)

Convert the number

3- 1/6 - (-13/10)

Determine the sign

3- 1/6 + 13/10

Transform the expression

90-5+39

_______

30

Calculate

124/30

Simplify

62/15

Answer

62/15

The standard form of the given equation is 5x - 4y = -3.

What is a standard form of an equation?

The standard form for linear equations in two variables is Ax+By=C.

What is a slope intercept form?

The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.

Here, we have

y = 5/4x+3/4

we have to convert this equation into standard form

y - 5/4x = 3/4

y - 5/4x - 3/4 = 0

4y - 5x - 3 = 0

4y - 5x = 3

5x - 4y = -3

Hence, the standard form of the given equation is 5x - 4y = -3.

To learn more about the standard form from the given link

https://brainly.com/question/19174417

#SPJ13

Answer:

  (b)  h = 37.3

Step-by-step explanation:

You want the value of h if an angle of a regular 16-gon is given as (5h-29)°.

The interior angle measure of a regular n-gon is given by ...

  θ = 180° -360°/n

For n=16, the interior angle measure is ...

 θ = 180° -360°/16 = 157.5°

The value of h can be found by solving the equation ...

  5h -29 = 157.5

  5h = 186.5 . . . . . . add 29

  h = 37.3 . . . . . . . divide by 5

<95141404393>

The linear inequality is y≥ 245 and x ≥ 2y/25.

Linear Inequality:

Linear inequalities are defined as mathematical expressions in which two expressions are compared using the inequality symbol. The expression can be an algebraic expression or numerical expression or a combination of both.

Here it is given that x represents the teacher y represents the student.

It is given that no fewer than 2 teachers per 25 students.

x/y > 2/25

It is given that at least 245 students enrolled in the school.

As per the given condition,

The linear inequality for the students:

y≥ 245

Now the possible number of teachers (x).

As per the condition the required inequality for teachers will be:

x ≥ 2(y/25)

x≥ 2y /25.

Therefore the linear inequalities are y≥ 245 and x ≥ 2y /25.

To know more about linear inequality refer to the link given below:

https://brainly.com/question/15269537

#SPJ4

The value of the inequality u - 9.7 < -8.8 is u < 0.9.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Here, the inequality is given as:

u - 9.7 < -8.8

Collect like terms

u < -8.8 + 9.7

u < 0.9

The value is u < 0.9.

Learn more about inequalities on:

brainly.com/question/25275758

#SPJ1

The percent of decrease in screen time this week is 40%. correct option is (C).

given that

lora's screen time last week is 840 minutes

lora's screen time this week is 504 minutes

let's calculate the percentage decrease

decrease = 504-840

decrease = -336

percentage decrease = (-336/840) * 100

                                    = -0.4*100

                                    =-40

percentage of decrease is 40%

learn more about percentage here:

https://brainly.com/question/24120406

#SPJ4

The question was incomplete. Check below the complete question.

Lora' phone record data for creen time each week. Lat week, he ued 840 minute. Thi week, Lora ued 504 creen time minute on the phone. Calculate the percent decreae in creen time thi week.

a. 17%

b. 34%

c. 40%

d. 67%

Answer: x = 57

Step-by-step explanation:

Since CD = AC, triangle ACD is isosceles, therefore

ADC = DAC

ADC + DAC + 112 = 180

ADC + DAC = 180 -112 = 68

ADC + DAC = 68/2 = 34

DEB = 180 - 34 - 23 = 123 (sum of interior angles of a triangle = 180)

Therefore, x = 180 - 123 = 57  (DEB and x are supplementary angles)

The maximum amount of time Jay can add water without causing the tank to overflow is 5 minutes.

Given:

Jay has a 50 gallon water tank. He fills the tank with a garden hose at a rate of 8. 2 gallons per minute.

There are 9 gallons of water in the tank.

water tank to fill = water tank capacity - water in the tank.

= 50 - 9

= 41 gallons.

Time = 41 / 8.2

= 41 / 82/10

= 41*10 / 82

= 10/2

= 5 minutes.

Therefore the maximum amount of time Jay can add water without causing the tank to overflow is 5 minutes.

Learn more about the water tank and time here:

https://brainly.com/question/27890958

#SPJ4

Answer:

-0.37 or -37/100

Step-by-step explanation:

On a calculator, take the fraction, and divide the 1 by the 3:

1 divided by 3 = 0.33.

So, we have -3.33 divided by 9.

Let's use the calculator to find the final answer:

-0.37

To convert this to a fraction, we have to convert -0.37 to -37 and find the common 10. So, 1 is less than 37 in this term. Same with 10. But, 100 will work:

37/100

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 12 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

-10/27

Step-by-step explanation:

so to divide fractions first we turn them into improper fractioms

-3 1/3 ÷9

-10/3÷9/1

now we use skip flip mutliply to find the answer where we keep the first term the same then flip the second fraction and then mutliply

-10/3÷9/1

-10/3 × 1/9

-10/27

hopes this helps please mark brainliest

Answer:

a. Draw two lines which intersect each other somewhere on the graph.

b. Draw two parallel lines.

The minimum sample size need for the given condition is 14

What is Confidence Level in Statistics?

The proportion of likelihood, or certainty, that the confidence interval will include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.

Solution:

The minimum sample sixe required when,

Confidence Level = 99%

Variance = 50%

Generally going through the table

Minimum sample size is

X = 14

To learn more about Confidence Level from the given link

https://brainly.com/question/24260117

#SPJ4

The difference between the depth at 3 minute ago and the depth now is 12 feet.

What is difference in mathematics?

Difference in mathematics is produced by one of the most important mathematical operations, which is obtained by deleting two numbers. It displays the difference between two numbers. The objective of finding the difference in math is to ascertain how many numbers there are between the two specified numbers. In terms of notation, there is a negative difference (-).

The depth 3 minute ago was -3 feet,

The depth now is -15 feet.

subtracting the depth now from the depth 3 minute ago,

-3 -(-15)

= 12 feet

Therefore, the difference is 12 feet.

To know more about difference, go to link

https://brainly.com/question/148825

#SPJ1

If the minimum 30 chairs were sold , then the minimum number of Tables sold is 10.

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 40

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 40        .......1

200 C + 600 T = 12000         .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 40 × 200

i.e 200 C + 200 T = 8000

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 8000

Or, 400 T =  4000

i.e T = 10

Put The value of T in eq 2

So, 200 C + 600 × 10 = 12000

or , 200 C + 6000 = 12,000

Or, 200 C = 12000 - 6000

Or, 200 C = 6000

i.e C = 30

The number of chair sold is 30

If the number of chair sold is 10 ,

Then the min number of table sold = 200 × 30 + 600 T = 12000

i.e 600 T = 12000 - 6000

or, 600 T = 6000

∴   T = 10

I.e T = 10

Hence, if the minimum 30 chairs were sold , then the minimum number of Tables sold is 10 .

To know more about inequalities check below link:

https://brainly.com/question/24372553

#SPJ9

The solution to the questions are

The function is given as

y = (x + 3)/(x - 2)

The numerator of the function is

x + 3

The above expression is a linear expression

So, the degree is 1

The function is given as

y = (x + 3)/(x - 2)

The denominator of the function is

x - 2

The above expression is a linear expression

So, the degree is 1

The function is given as

y = (x + 3)/(x - 2)

Set the numerator to 0

x +3 = 0

Evaluate

x = -3

The degree of the numerator is 1

So, the horizontal asymptote is y = 1

Read more about function asymptote at

https://brainly.com/question/1851758

#SPJ1

The average age of the two classes is 12.73 yrs.

Total age of 25 students =25×10=250years.

Total age of 30  students =30×15=450years

∴ Total age of 55 students =250+450=700years

∴ Required For 55 students   =  700/55 = 12.73 yerars

∴ The average age of the two classes is 12.73 yrs.

To learn more about arithmetic mean  refer,

https://brainly.com/question/20118982

#SPJ1

The volume of the balloon after the addition of the extra gas is 11.87 liters

The initial volume of the balloon = 5.29 liters

Initial quantity of argon in the balloon = 2.51 mole

Here we have to use the unitary method

The volume of the 1 mole of argon = The initial weight  of the balloon / Initial quantity of argon in the balloon

Substitute the values in the equation

The volume of the 1 mole of argon = 5.29 / 2.51

= 2.11 liters

Additional argon added = 2.51 mole

Total quantity of argon = 2.51 + 3.13

= 5.64 mole

The volume of the 5.64 mole of argon = 5.64 × 2.11

= 11.87 liters

Hence, the volume of the balloon after the addition of the extra gas is 11.87 liters

Learn more about unitary method here

brainly.com/question/22056199

#SPJ1

If Sarah only works in 23 of those schools then Sarah worked with 9,351 students.

Given, There are a total of 58 schools and 23,581 students attend those schools. Sarah only works in 23 of those schools

now, as 58 schools = 23581 students

1 school = 23581/58 students

now,

23 schools = 23× 23581/58 students

23 schools = 9,351 students

So, Sarah worked with 9,351 students.

Hence, Sarah worked with 9,351 students.

Learn more about Unitary Method here https://brainly.com/question/28627316

#SPJ4

The amount that would be Senja's taxable income would be = $38,700

This is the total income of an individual after the removal of discounts and exemptions from which such is expected to pay a certain percentage of tax.

The amount she earns a year = $46,200

Lat years total deductions = $2,900.

Deductions for business expenses = $5,000

Deductions for medical expenses = $2,500.

The total deductions for this year = $7,500

Therefore, the amount this year that is taxable income for Senja = $46,200 - $7,500 = $38,700

Learn more about income here:

https://brainly.com/question/25745683

#SPJ1

Answer:

Please give a question to answer. Nothing has been included to answer.

Step-by-step explanation:

The scale factor that was used to enlarge the triangle uvw to klm is 4/3

The triangles that complete the question are added as an attachment

From the attached triangles, we have the following side lengths:

Triangle UVW

UV = 9 units

VW = 15 units

Also, we have

Triangle KLM

KL = 12 units

LM = 20 units

Because the triangle was enlarged from triangle UWV, it is expected that the side length of KLM will be greater than the corresponding side length of UVW

The scale factor of dilation is then calculated using the following scale factor formula

Scale factor = Side length of KLM divided by Side length of UWV

Mathematically, we have

Scale factor = KLM/UVW

Substitute the known values in the above equation, so, we have the following representation

Scale factor =20/15

Evaluate the quotient

Scale factor = 4/3

Hence, the scale factor is 4/3

Read more about dilation at

https://brainly.com/question/3457976

#SPJ1