MATHEMATICS HIGH SCHOOL

What is 2x+10=3x-50 on vertical opp angles

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

2x+10 = 3x - 50
2x-3x = -60
- x = -60

x =60 degree
130 degree are the vertical opp angles

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Answers

Step-by-step explanation:

everything can be found in the picture

I dont know how to answer it

Answers

y: (0, 275)
x: (125, 0)

The graph shows the cost of parking, y , per hour, x , at a parking garage. The graph is titled Parking Rates. The X-axis is labeled Number of Hours and goes from zero to four by a scale of one. The y-axis is labeled Cost in dollars and goes from zero to eighteen by a scale of two. Five points are shown on the graph. Zero hours, zero dollars. One hour, four dollars. Two hours, eight dollars. Three hours, twelve dollars. Four hours, sixteen dollars. Which equation represents the relationship shown in the graph?

Answers

The relationship shown in the graph represents a linear equation because the cost of parking increases at a constant rate per hour. To find the equation that represents this relationship, we can use the slope-intercept form of a linear equation:

\[y = mx + b\]

Where:
- \(y\) is the cost in dollars (the dependent variable).
- \(x\) is the number of hours (the independent variable).
- \(m\) is the slope, which represents the rate of change.
- \(b\) is the y-intercept, which represents the initial cost when \(x\) is zero.

Based on the points provided in the graph:

Point 1: (0 hours, 0 dollars) gives us the y-intercept, so \(b = 0\).

Point 2: (1 hour, 4 dollars) allows us to find the slope (\(m\)) as follows:

So, the equation that represents the relationship shown in the graph is:

\[y = 4x\]

This equation represents a linear relationship where the cost (\(y\)) is directly proportional to the number of hours (\(x\)) at a rate of $4 per hour.

Show how to solve 6/15=2/?

Answers

There are two way sof doing this question: 
 1st solution  is : 
 6/15 = 2/5
because 6/15 is divisible by 3 and it is done by this form : 
     3 X 2 = 6
       and
    3 X 5 = 15
2nd solution is:
6/15 = 2/?
here we suppose that the missing value is x:
 6/15 = 2/x 
 you shift the denominators and then  multiply them by the their numerators:
 6 * x = 15 * 2
      6x = 30
 now you divide 6 on both sides:
 6x/6 = 30/6
      x = 5


6 / 15 = 2 / x

6x = 30

x = 30 / 6 = 5

Bety compró 16 pares de calcetas, entre blancas y negras, y pagó $339. Los pares de calcetas blancas cuestan $24 y las negras $19. Plantea el sistema de ecuaciones y resuelve por el método que creas conveniente. Después toma foto y súbela en donde se indica.

Answers

Answer:

Sistema de ecuaciones:

x+y= 16

24x+19y=339

Respuesta:

x=7, y=9

Step-by-step explanation:

Con la información del enunciado puedes plantear las siguientes ecuaciones:

x= cantidad de calcetas blancas

y= cantidad de calcetas negras

x+y= 16 (1)

24x+19y=339 (2)

Para resolver las ecuaciones, debes iniciar despejando x en 1:

y=16-x (3)

Después, debes reemplazar (3) en (2) y despejar x para encontrar su valor:

24x+19(16-x)=339

24x+304-19x=339

5x=339-304

x=35/5

x=7

Luego, puedes reemplazar el valor de x en (3) para encontrar y:

y=16-x

y=16-7

y=9

De acuerdo a esto, x= 7, y=9.

Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 mi apart in 5 h. How fast is each car traveling?

Answers

The speed of one car is 'S'.  The speed of the other car is (S + 10).

In 5 hours, the first car travels (5S) miles, and the other car travels  5(S + 10) miles.

Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.

500 = (5S) + 5(S + 10)

500 = 5S  +  5S + 50

500 = 10S + 50

Subtract 50 from each side:

450 = 10S

Divide each side by 10

S = 45

S + 10 = 55

Let one car travel at x mph

The other car travels at x+10 mph

Their combined speed is 2x+10 mph.

Distance = 500

time = 500 /2x+10 =5

10x+50=500

10x= 450

x=45 speed of one car

The other car travels at 45+10 = 55 mph
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