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3 years ago

How do you know that the systems of equations are consistent? How do you know that they are independent?

Mathematics

1 answer:

Shalnov [3]3 years ago

3 0

Answer:

If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent.

Step-by-step explanation:

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The perimeter of two triangles are 15 and 25. The area of the smaller triangle is 36. If the triangles are similar, what is the

DanielleElmas [232]

Answer:

Step-by-step explanation:

Set up a ratio problem

15/25 = 36/x

15x = 900

x = 60

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2 years ago

every tenth visitor to an ice cream shop gets free sprinkler. every twelvth visitor gets free hot fudge. which visitor each day

DENIUS [597]

person number 60

10 20 30 40 50 60

12 14 36 48 60

It id in both of their times tables.

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3 years ago

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The sale price of an item is $180 after a 25% discount is applied. What is the original price of the item?

torisob [31]

original price is $240

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2 years ago

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Determine whether the underlined value is a parameter or a statistic. A study of 6 ,076 adults in public rest rooms found that M

Ludmilka [50]

Answer:

The correct answer is: C. The value is a statistic because the 6076 adults in public restrooms are a sample.

Step-by-step explanation:

A sample statistic is a piece of statistical information you get from a part of a population. In this case, 6076 adults in public restrooms.

Now you have recognized the sample, and you infer some measure from this sample. In this case, 23% did not wash their hands before exiting.

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2 years ago

Allie has two cars- a truck and a sedan. Last week, she used 3 gallons of gas in the truck and 5 gallons of gas in the sedan and

gavmur [86]

Answer:

sedan = 26 miles/gallon

truck = 17 miles/gallon

Step-by-step explanation:

try to write the text in mathematical format as a system of equations

t=truck s=sedan

$\left \{ {{3t+5s=181} \atop {7t+6s=275}} \right.$

first equation can be written as

t= (181-5s)/3

we can use it in the second equation and rewrite it as

7[(181-5s)/3]+6s = 275

7(181/3 -5/3s) + 6s = 275

1267/3 - 35/3s + 6s = 275

-35/3s + 18/3s = 275-1267/3

-35/3s + 18/3s = 825/3 - 1267/3

-35s + 18s = 825 -1267

-17s = -442 s = 442/17 = 26 sedan has an average of 26 miles/gallon

we use this value of s in the first equation

3t + 5*26=181 3t=181-130 t= 51/3 = 17 truck has an average of 17 miles/gallon

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2 years ago