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olga2289 [7]
2 years ago
10

Tell whether the ordered pair (1,1) is a solution of the system of inequalities.

Mathematics
1 answer:
Dmitry [639]2 years ago
8 0

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

<h3>A solution to the system of inequality</h3>

Given the following inequality expression

y>0

y< 2.5x - 1

Wee are to check if (1, 1) is a solution to the systen of equation

If x = 1

y < 2.5(1) - 1

Y < 2.5 - 1

y < 1.5

Since 0 < y < 1.5, hence the coordinate (1,1) is a solution

Learn more on inequality here: brainly.com/question/24372553

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Students in a world geography class want to determine the distances between cities in Europe. The map gives all
galina1969 [7]

Using a proportional relationship, we have that:

  • a) The constant of proportionality is of 0.625, hence the equation is: y = 0.625x.
  • b) The distance of two cities that are 5 miles apart is of 8 kilometers.
  • c) When they are 200 kilometers apart, we have that the distance in miles is of y = 0.625(200) = 125.

<h3>What is a proportional relationship?</h3>
  • A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.

y = kx

  • In which k is the constant of proportionality.

Item a:

From the graph, when x = 8, y = 5, hence:

y = kx

5 = 8k

k = \frac{5}{8}

k = 0.625

The constant of proportionality is of 0.625, hence the equation is: y = 0.625x.

Item b:

From the graph, when y = 5, x = 8, hence:

  • The distance of two cities that are 5 miles apart is of 8 kilometers.

Item c:

When they are 200 kilometers apart, we have that the distance in miles is of y = 0.625(200) = 125.

You can learn more about proportional relationship at brainly.com/question/13550871

4 0
2 years ago
The sum of two numbers is 82. The larger number is eight less then five times the smaller number. What are the numbers?
bonufazy [111]

Answer:

The smaller Number = 15

The larger number = 67

Step-by-step explanation:

Let

The smaller number = x

The larger number = 5x - 8

The sum = 82

(5x - 8) + x = 82

5x - 8 + x = 82

6x - 8 = 82

Add eight to both sides

6x - 8 + 8 = 82 + 8

6x = 90

Divide both sides by 6

x = 90/6

= 15

Therefore,

The smaller number = x = 15

The larger number = 5x - 8

= 5(15) - 8

= 75 - 8

= 67

6 0
2 years ago
Medal and Fan! Estimate an 18% tip for a $63.50 meal.
kherson [118]
The answer is <span>$11.43

you type 63.50 into your calculator
then divide it by 100
the times it by 18
and you get 11.43
that is the answer</span>
7 0
2 years ago
Read 2 more answers
What is the value of n in the equation 1/2 (n-4) -3 = 3 - (2n+3)
Doss [256]

Answer:

n = 2

Step-by-step explanation:

Expand the brackets.

1/2n - 2 - 3 = 3 - 2n - 3

Add or subtract terms.

1/2n - 5 = -2n

Add 5 and 2n on both sides.

1/2n + 2n = 5

5/2n = 5

Multiply both sides by 2/5.

n = 5 × 2/5

n = 10/5

n = 2

4 0
3 years ago
The diameter of a sphere us 4 centimeters. which represents the volume of the sphere
Veronika [31]
Greetings and Happy Holidays!

The Formula for the Volume of a Sphere is: V=\frac{4}{3}\pi r^3

Input 
the value of the radius (\frac{d}{2}):
V=\frac{4}{3}\pi (2)^3

Solve using the Order of Operations:
V=\frac{4}{3}\pi (8)

V=\frac{4}{3}\pi \frac{8}{1}

V=\frac{32}{3}\pi

The Answer Is:
\boxed{V=33.510322}

I hope this helped!
-Benjamin

5 0
3 years ago
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