A football player caught the ball and made a gain of 8 yards on the first play. On the next play the team lost 12 yards. How many yards do they need to gain on the next play to get back to their original position?

Answers

Answer 1

Answer: Draw a number line with 10 positives and 10 negatives. Count from 0 to 8. Now, from 8, count back 12 spots. From that spot, go back to 0, which is their original position. The number you counted there is your answer.

Answer 2

Answer: The answer would be 4 yards.The expression would be n+8-12 n could be any number so if it was 1 then it would be 1+8-12 which would be -3 you then should know that you would need to add 4 to -3 to make it to the original number which was 1.This works for any other number that you put for n

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Freda paid 6.5% sales tax on an item that costed $38 how much did she pay in tax

Answers

6.5%= 6.5/100= 65/1000

$38*(6.5)/(100)=38*(65)/(1000)=(38)/(1)*(65)/(1000)=(2470)/(1000)=2.47$

The correct answer is:
C. 2.47$

Greetings,
n00nst00p :)

Explain how you know 21/30 is greater than 2/3

Answers

Simple.

to figure out if they are either: equal, greater, or smaller...

First, find a common denominator...

$(21)/(30)$

and

$(2)/(3) * (10)/(10) = (20)/(30)$

Now, we can obviously make the assumption that $(21)/(30)$ is greater than $(20)/(30)$ .

Thus, your answer.

if you do 2 X 10, it's 20.
if you do 3 X 10, it's 30.

so, the fraction would be 20/30, and with the denominators the same, now you can see that 21 is greater than 20.

hopes this helps (:

PLEASE FACTOR these POLYNOMIALS and EXPLAIN HOW
1. 12x - 3x^2
2. 20 - 240x^2

Answers

Answer:

1. 3x(4-x)

2. 20(1-12x^2)

Step-by-step explanation:

1. Both of the monomials have an x and can be divided by 3. You can factor out 3x, getting the equation I wrote out on the answer part.

2. Both of the monomials can be divided by 20, so you can once again factor out 20, getting the equation I wrote out on the answer part.

the speed a car travels is inversely proportional to the time it takes to complete a 100 mile trip. which of the following graphs best represents this situation

Answers

Answer:

Inversely proportion states that a relationship between two variables in which the product is a constant.

If one of the variable increases, then the other decreases in proportion so that the product is unchanged.

If y is inversely proportional to x, then the equation is of the form

$y = (k)/(x)$ ; where k is the constant proportionality.

As per the given condition: Speed of a car is inversely proportional to the time it takes to complete a 100 mile trip,

Let x represents the speed of car and y represents the time taken.

From the given condition:

$x \propto (1)/(y)$

Then by definition of inversely proportional;

$x = (k)/(y)$ [Since, $speed = (Distance)/(Time)$ ]

Here, k represents the distance(i.e constant) = 100 miles.

therefore, the equation becomes now;

$x = (100)/(y)$ or

xy = 100

The following graph for the above equation as shown below :

Meghan counted the candies she had in a jar. She discovered that half of the candies were red. If she had 50 red candies, in which equation does x represent the total number candies in the jar?

Answers

50x2=x

50 represents the red candies.

2 represents the other half of candies.

x represents the total amount of candies.

Hope this helps!

Mikhail has a savings portfolio containing $12,000, of which $3,000 is invested in CDs. His friend, Ivan, has $2,000 invested in CDs, and this investment is proportional to Mikhail's. How much money is in Ivan's savings portfolio?

Answers

Mikhail has $3.000 of his $12.000 invested in cd's, which is 3.000/12.000 = 1/4 of his total savings portofolio. Ivan too has 1/4 of his total savings portofolio invested in cd's, which is $2.000. So Ivan's total savings portofolio is 4 x $2.000 = $8.000

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