MATHEMATICS MIDDLE SCHOOL

hiroshi found anti-virus program on his personal computer scans 182 megabytes of data in 7 seconds/ an update to the program advertises a new rate of 35 megabytes per second. how much faster is the anti-virus program after the update?

Answers

Answer 1

Answer:

182 divided by 7= 26

the old virus program scanned at 26 megabytes per second

35-26= 9

the new anti-virus program is 9megabytes per second faster than the old program

(if looking for percentage increase/decrease read on)

formula=new subtract old divided by old times 100

((35-26) divided by 26)(100)

(9 divided by 26)(100)

0.34615(100)

34.62% increase

the new virus program is 34.62% faster than the old one

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Help what is x^2-2x-24=0 I know you can use quadratic formula I just forgot how examples always help :)

Answers

There are another way to solve a quadratic equation we call, Sum and product.

Let's see how we can do this...

$x^2-2x-24=0$

$Sum=-(b)/(a)$

$Product=(c)/(a)$

therefore

$Sum=-((-2))/(1)=2$

$Product=(-24)/(1)=-24$

now we have to pick up 2 numbers that the sum should be 2 and the product should be -24, we just have to think a little.

Let's try -3 and 8, for example.

$8+(-3)=5$

$8*(-3)=-24$

Doesn't work.

Let's try now 4 and -6.

$4+(-6)=-2$

$4*(-6)=-24$

Can you see here, that we have to change the signal?!

therefore

Let's try -4 and 6

$6+(-4)=2$

$6*(-4)=-24$

$Sum=2$

and

$Product=-24$

Them it works.

$\boxed{\boxed{x_1=-4~~and~~x_2=6}}$

$x^2-2x-24=0\n\na=1;\ b=-2;\ c=-24\n\n\Delta=b^2-4ac\n\n\Delta=(-2)^2-4\cdot1\cdot(-24)=4+96=100\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\nx_1=(2-√(100))/(2\cdot1)=(2-10)/(2)=(-8)/(2)=-4\n\nx_2=(2+√(100))/(2\cdot1)=(2+10)/(2)=(12)/(2)=6$

What is the LCM of the numbers 3, 6, and 9?

Answers

18 will be the LCM !!!

the answer is B 18

memes

The neighborhood ice cream truck driver has to pay $650.00 a week to rent his truck. Each ice cream cone costs $0.75 to make and sells for $1.60. Set up an equation to figure out how many ice cream cones must be sold to make a profit of $100.00 for the week.

Answers

Answer: $0.85x – $650 = $100

Step by step explanation:

Ice cream truck rent $650.00 a week

Each ice cream cone costs $0.75

Sells Ice cream cone for $1.60

How many ice cream cones must be sold to make a profit of $100.00 for the week = x

Capital amount per week = $650 + $0.75 (per cone)

Profit per cone: $1.60 – $0.75 = $0.85

In order to make $100 profit, the expression would be:

$0.85x – $650 = $100

it would be 1.60x-.75x-650=100 i believe bc you would need to subtract the cost of everything that’s due and find what x is to make it equal 100$ profit

Explain why it does not matter what letter or symbol is used to find an unknown number

Answers

A variable represents an unknown quantity. No matter which variable you use, it will represent the same unknown quantity, and the same process will be used to solve the problem. Which variable you use is irrelevant.

It's because the letter represents a number, so it doesn't matter what letter.

The amounts of industrial waste generated in a region during two years were 31,900,000 tons and 53,400,000 tons. What was the total industrial waste generated over theses two years in the region,expressed in scientific notation

Answers

85,300,000 that's the answer you can put
31,900,000+53,400,000=85,300,000 tons

This a prime factorization question this is the question. Determine the prime factorization of each number? 38

Answers

ok first try 2,3 those normally work

38 divide 2=19
19 is prime alreay

38 prime factorization is 2*19

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