MATHEMATICS HIGH SCHOOL

If 115% of a number is 460, what is 75% of the number?Please explain the work behind the solution

Answers

Answer 1
Answer:

In linear equation, 300 is  75% of the number.

What are instances of linear equations?

  • Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.
  • Finding both intercepts of an equation in this form is rather simple (x and y).
  • When resolving systems of two linear equations, this form is also incredibly helpful.

115% of a number is 460,

let number is x .

x = 460/115 * 100

46000 / 115 = x

x = 400

400 * 75/100  = 300

Learn more about linear equation

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Answer 2
Answer: 460 / 1.15 = x 

x * 0.75 = your answer 

x = 400 

400 * 0.75 = 300

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Which linear inequality is represented by the graph?

Answers

Linear inequality represented by the graph is

\displaystyle y\leq (1)/(3)x-4

Further explanation

Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates

General formula

\large{\boxed{\bold{y-y1=m(x-x1)}}

or

y = mx + c

Where

m = straight-line gradient which is the slope of the line

x1, y1 = the Cartesian coordinate that is crossed by the line

c = constant

The formula for a gradient (m) between 2 points  

\large{\boxed{\bold{m= (y2-y1)/(x2-x1)}}

If the intersection of the x-axis (b, 0) and the y-axis (0, a) then the equation of the line:

ax + by = ab

It says inequality if there are symbol forms like <,>,≤ or ≥

  • Whereas linear inequality can have forms:  ax + by> cax + by ≥ cax + by <cax + by ≤ c

In graphical form, line inequality can be

  • dashed line because y does not include equals to
  • a solid line because y includes equal to

For line inequality (positive coefficient y)

ax + by ≥ c then the solution is shaded upwards

ax + by ≤ c then the solution is shaded down

Or we input the values ​​x, y from the point in the shaded area and put in the inequality line

From the picture we can determine the equation of the line

Line through 2 points (0, -4) and (-3, -5)

the gradient: \displaystyle =(-5+4)/(-3-0)\n\n=(1)/(3)

the equation of the line:

\displaystyle y-y1=m(x-x1)\n\ny+4=(1)/(3)(x-0)\n\n=(1)/(3)x-4

We check the point in the area of ​​shading, for example (0, -6)

we input in the equation :

\displaystyle -6=(1)/(3).0-4\n\n-6=-4

Because -6 < -4 and the graph is solid line so the inequality line will be

\displaystyle y\leq (1)/(3)x-4

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Keywords: linear inequality,graph

In the given graph the line is having the y intercept as -4.

The slope of line = (Rise)/(Run) =(1)/(3)

The equation of the line is y=(1)/(3)x-4

The line is a dark line so inequality will be either ≤ or ≥.

Consider point (0,-5)which lie in the shaded region.

Plug x=0 and y=0 in the equation of line,

-5=(1)/(3)(0)-4=-4

-5≤ -4 .

The inequality equation for the given graph is

y≤(1)/(3)x-4

How old do you have to be in order to be in a relationship?
no reason at all.....

Answers

Answer:

to me 18

Step-by-step explanation:

coz ur an adult and plus if u fall in love at the age of 2 that would be strange

In the U.S., from 2004−2015, the correlation coefficient for the relationship between the size of a cell phone data plan, x, and the number of text messages sent, y, is R=+0.97. Describe the relationship between the data plan size and the number of text messages sent in the U.S.

Answers

Answer: As the data plan increases, the text messages also increases. It's Perfectly straight line and positive correlation.

Step-by-step explanation:

From the question, we are told that the correlation coefficient for the relationship that exists between the size of cell phone data plan, x, and number of text messages sent, y, is R=+0.97.

This shows that a positive correlation exist between both variables. A positive correlation is a relationship that exist between two variables whereby both variables move in tandem, that is, they move in the same direction. In this equation, a positive correlation exists as one variable increases, the other increases. As data plan increases, the text messages also increases.

A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on a show, how much total profit was there from ticket sales?

Answers

. A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on a showQuestion: how much total profit was there from ticket sales?=> 200 dollars = the flat charge rate of the theater technician=> 400 000 dollars = the theater's profit from the ticket sale=> 5% the percentage a technician is askingSolutions=> 5% = 5% / 100% = 0.05=> 400 000 dollars * 0.05 = 20 000 dollars.Let's total=> 200 + 20 000 = 20 200 dollars.

the amount of a persons paycheck p varies directly with the numbers of hours worked t. for 16 hours of work, the paycheck is $124.00 write a equation for the relationship between hours of work and pay

Answers

Answer:

p=7.75t

Step-by-step explanation:

We have been given that the amount of a persons paycheck p varies directly with the numbers of hours worked t.

Since we know that the equation for direct variation is in form: y=kx, where, k represents the constant of variation.

We are also told that for 16 hours of work, the paycheck is $124.00. We can represent our given information as:

p=k*t

Upon substituting p=124 and t=16 in directly proportional equation we will get,

124=k*16

Let us divide both sides of our equation by 16 to solve for k.

(124)/(16)=(k*16)/(16)

7.75=k

Upon substituting the value of constant of variation in our equation we will get,

p=7.75t

Therefore, the equation p=7.75t represents the relationship between hours of work and pay.
Given: 

Let t = number of hours worked
Let p = money in the paycheck

And the relationship between the two variables varies DIRECTLY, thus they are equated with one another. 

Well anyway, you can write this simple equation for their relationship:

16t=124p

Then you derive if you want to get the number of hours or the amount paid:

1) 16t/16= 124p
t = 124p/16
t=7.75p

or 

2) 124p=16t
124p/124= 16t/124
p = 0.129t

Which equation is quadratic in form?6(x + 2)2 + 8x + 2 + 1 = 0
6x4 + 7x2 – 3 = 0
5x6 + x4 + 12 = 0
x9 + x3 – 10 = 0

Answers

Answer:

Option A is correct

Step-by-step explanation:

We have been given four equations and we need to tell which one of them is quadratic

Case1:

6(x+2)^2+8(x+2)+1

In this we will use the formula (a+b)^2=a^2+b^2+2ab

Here, a=x and b=2

The equation will become 6(x^2+2^2+4x)+8x+16+1

Hence, after simplification equation will become

6x^2+24+24x+8x+16+1

6x^2+32x+41 which is a quadratic equation because quadratic equation is the equation is the equation which has degree 2.

In this equation degree is 2 hence, quadratic

Case2:

6x^4+7x^2-3  is not quadratic since, degree in this equation is 4 not 2

Hence, biquadratic not quadratic

Case3:

5x^6+x^4+12 is not a quadratic equation since, degree in this equation is 6.

Hence, not quadratic

Case4:

x^9+x^3-10 is not quadratic since, degree in this equation is 9

Hence, not quadratic

Therefore, Option A is correct
A quadratic equation is a polynomial with an order of two. Its general form is ax² + bx + c = 0. From the choices given, the first option seems to be the quadratic equation. Simplifying the equation gives 6x² + 18x + 27 = 0. 
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