If X1 = 440, Y1 = 220, and X2 = 360, what’s the value of Y2

Bernita and Derek each plot a number on a number line. The numbers are unique but have the same absolute value. The sum of the a

Contact [7]

Answer:

Hence, the two numbers chosen or plotted by them are:

-75 and 75

Step-by-step explanation:

It is given that Bernita and Derek each plot a number on a number line with the properties:

The two numbers they have plotted are unique or different.

Also there absolute value is same.

The sum of the absolute values of the numbers is 150.

We know that Absolute value of a positive number is a number itself and absolute value of a negative number is it's inverse.

Hence, the two numbers that satisfy the above three properties are:

-75 and 75.

Since,

|-75|=75

and |75|=75.

Hence, |-75|=|75|

Also |-75|+|75|=75+75=150

8 0

2 years ago

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Which expression shows a way to find 20% of 950? 950 20 20 What is it

Komok [63]

To find 20% of 950 you would set it up as a proportion. When doing percentages the prevent is always out of 100 so the first step would be 20/100. You are trying to find a number out of 950 so the second part would be ?/950. Now you want to cross multiply and divide. 20*950=19,000 then you divide it by 100 (your other number) 19,000/100=190. So 20% of 950 is 190.

3 0

1 year ago

Here is a scenario that came up in the nationally syndicated column called "Ask Marilyn" in Parade Magazine. Suppose a certain d

goldenfox [79]

Answer:

Drug User Not a drug user Totals

Test positive 475 475 950

Test negative 25 9025 9050

Totals 500 9500 10,000

Step-by-step explanation:

Drug User Not a drug user Totals

Test positive 475 475 950

Test negative 25 9025 9050

Totals 500 9500 10,000

As we know that 5% of all people are drug users

Total drug users=5% of 10,000=0.05(10,000)=500

Total non drug users= Total people - drug users= 10,000-500=9500

or total non drug users=95% of 10,000=0.95(10,000)=9500

Test is correct for 95% of times means that 95% times drug users test results is positive and non drug users test results is negative.

Test positive for drug user= 95% of 500=0.95(500)=475

Test negative for non drug user= 95% of 500 = 0.95(9500)=9025

Test is correct for 95% of times and it means that 5% of times test is not correct. It means that 5% of times drug users test results is negative and non drug users test results is positive.

Test negative for drug user= 5% of 500=0.05(500)=25

Test positive for non drug user= 5% of 9500 = 0.05(9500)=475

4 0

1 year ago

On a certain route, an airline carries 7000 passengers per month, each paying $30. A market survey indicates that for each $

KengaRu [80]

Answer:

The ticket price that maximizes revenue is $50.

The maximum monthly revenue is $250,000.

Step-by-step explanation:

We have to write a function that describes the revenue of the airline.

We know one point of this function: when the price is $30, the amount of passengers is 7000.

We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.

Then, we can write the revenue as the multiplication of price and passengers:

$R=p\cdot N=(30+x)(7000-x)$

where x is the variation in the price of the ticket.

Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.

$R(x)=(30+x)(7000-100x)=30\cdot7000-30\cdot100x+7000x-100x^2\\\\R(x)=-100x^2+(7000-3000)x+210000\\\\R(x)=-100x^2+4000x+210000\\\\\\\dfrac{dR}{dx}=100(-2x)+4000=0\\\\\\200x=4000\\\\x=4000/200=20$