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3 years ago

Which ordered pair is a solution to the system of linear equations 1/2x - 3/4y = 11/60 and 2/5x + 1/6y =3/10 ?

Mathematics

1 answer:

vladimir2022 [97]3 years ago

3 0

Answer:

Step-by-step explanation:

i multiplied the first equation by 60 to eliminate the fractions: 30x - 45y = 11

i multiplied the second equation by 30 to eliminate the fractions: 12x + 5y = 9

I graphed them and (2/3, 1/5) is the intersection of both lines

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The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2

romanna [79]

Answer:

Perimeter is irrational

Step-by-step explanation:

The attachment is missing but the question is still answerable

Given

$Area = 24200 yd^2$

Required

Determine if the Perimeter is rational or not

First, we need to determine the sides of the square;

$Area = Length * Length$

Substitute $Area = 24200 yd^2$

$24200 = Length * Length$

$24200 = Length^2$

Take Square root of both sides

$\sqrt{24200} = Length$

$Length = 155.563492$

The perimeter of a square is calculated as:

$Perimeter = 4 * Length$

$Perimeter = 4 * 155.563492$

$Perimeter = 622.253968$

Because the value of perimeter can't be gotten by dividing two integers, then perimeter is irrational

4 0

3 years ago

Which two numbers have a mean of 10 and a range of 4

Elden [556K]

Answer:

12 and 8

Step-by-step explanation:

set two numbers as x and y

mean of 10 → x+y/2=10

range of 4 → x-y=4

x+y=20

+ x-y=4

____________

2x=24, x=12

12-y=4, y=8

6 0

3 years ago

Approximately ___% of a district’s students that are eligible for free and reduced meals are homeless at any given time.

Ludmilka [50]

Percentages are used to show the fraction of a thing. For example, if 5 students out of 20 like math, the percentage is 5/20 x 100= 25%

<h3>What is a Percentage?</h3>

This refers to the number of ratios that is described as a fraction of 100 and is denoted by the sign %.

Hence, we can see that although your question is incomplete, I gave you a general overview of percentages for a better understanding of the concept.