Homer Simpson weighs 400 pounds. He is on a diet to lose 5 pounds each week Barney weighs 322 pounds. he is on a diet to lose 3 pounds each week. How long will it take for them to weigh the same? write an equation and solve.

Answers

Answer 1
Answer: 400 + (n-1) (-5) = 322 + (n-1) (-3)
-5n + 5 = 322 
-3n + 3    | 405 - 5n
               =325 - 3n
80=2n
n=40            n - 1 = 39    

 Answer = 39 , 39 weeks until they weigh the same

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0.99 divided by 0.0033
Pls answer thi for me tyty
matt has answered 20 of 25 of the questions on a test. what percentage of the test questions has matt answered
Write 65300 in scientific notation.

I an confused need help on number 6

Answers

I think the easiest way to answer all of these is to just go ahead and find the equation of the line first. 

I'm pretty sure that by the time you reach this problem, you've learned to find
theequation of a line that passes through two given points.  You have twopoints:  (2, 100) and (5, 205).  The equation of the line through themis [ y = 35x + 30 ].

6).  The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30.  (Also the y-intercept.)

7).  The cost per month is $35.  (The slope of the line.)

8).  We already did that, up above.  [  y = 35x + 30 ].

9).  'x' in the equation is the number of months.
There are 12 months in one year.

y = 35(12) + 30 = $450

Decompose 8/10 in 2 ways

Answers

The decomposition of the fraction A = 8/10 is solved and

a) A = 2/5 + 2/5

b) B = 5/10 + 3/10

What is decomposition of fraction?

A fraction can be expressed as the product of a whole number and a unit fraction. Decomposition of fraction means break down a fraction into smaller parts. The denominator which is the bottom number gives the total number of pieces

Given data ,

To decompose 8/10 in two ways, we need to find two pairs of fractions that add up to 8/10

First way:

We can write 8/10 as 4/5, and then decompose 4/5 into two fractions with a common denominator. One way to do this is to split 4/5 into two equal fractions:

8/10 = 4/5 = 2/5 + 2/5

Another way to decompose 8/10 is to split it into a sum of a whole number and a fraction that is less than 1. We can write 8/10 as 0.8, and then decompose it into 0.5 and 0.3:

8/10 = 0.8 = 0.5 + 0.3

Second way:

We can also decompose 8/10 in a different way. We can write 8/10 as the sum of two fractions with a common denominator, where one of the fractions is a unit fraction (a fraction with a numerator of 1):

B = 5/10 + 3/10

Hence , the decomposition of the fraction A = 8/10 is solved

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4/5  or   16/20   Hope this helps!

The elevation of your plot of land is 2 feet below sea level. You add 7 feet of dirt to your land. What is the new elevation of your land?

Answers

Answer: 5

Step-by-step explanation: -2+7=5

when the signs are different you subtract and when the signs are the same you add. Then you keep the sign of the bigger number.

The answer would be nine because you start at 2 and add 7

What is the slope of 4x+5y= -10

Answers

Answer:

-(4)/(5)

Step-by-step explanation:

To find the slope, rearrange the equation to y=mx+b or y=mx+c.

4x+5y=-10

Subtract 4x from both sides:

5y=-10-4x

Divide 5 on both sides:

y=(-10-4x)/(5)

y=-(4)/(5) x-2

In the equation of y=mx+b/y=mx+c, m will be the slope.

Therefore, the slope is -(4)/(5)

A square tabletop is 5 feet long on each side. Kevin wants to tile the tabletop. how much tile does he need to cover the tabletop.

Answers

5 feet multiplied my 5 feet equals 25 feet
Sorry if my answer might be incorrect
25 square feet if u need steps how i did please tell me =) hope this helps

Solve the Equation.

x^2= 150

Urgent!

Answers

So to "unpack" this equation remember the inverse of exponential functions is square root. 

x^2 = 150 

to simply just use a radical, √(150) = 12.24744... 

Final answer:

The solutions to the mathematical equation x^2 = 150 are x = 12.25 and x = -12.25.

Explanation:

To solve the equation x^2 = 150, we have to find the value of x. The first step is to take the square root of both sides. The square root of x^2 is x, and the square root of 150 equals approximately ±12.25. So, the answer is:

x = ±√150

x = ±12.25

Thus, the solutions for the equation x^2 = 150 are x = 12.25 and x = -12.25.

Learn more about Square root here:

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