MATHEMATICS MIDDLE SCHOOL

9.The expression x(x+4)-4(x+4) is equivalent to each of the following EXCEPT which choice?
(1) x²-16
(2) (x+4)(x-4)
(3) x(x-4) +4(x-4)
(4) x²-8

Answers

Answer 1
Answer: Process of elimination can easily help you here. The fact that choice 1 and four have the same beginning term but different ending term shows that one of these are the correct answer. Solve normally and the answer will be which is not the answer

You can distribute both to have a better visual. x^2+4x-4x-16. Next add like terms and you’ll end up with x^2-16, therefore choice one can be eliminated. Choice 4 is the correct answer.

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How to solve 11=3−4/3x.

6 tractors take 10 days to collect the harvest. How long would it take 12 tractors to do the same amount of work?

Answers

12 divided by 6 is 2 so 10 divided by 2 is 5. it would take 5 days

Ivan had saved some quarters. He spent 50 quarters, which was 2/5 of the quarters he started with. How many quarters did he start out with?

Answers

since 50 was 2/5 of the total, 25 must be 1/5. multiply 25*5 to get the total of 125 quarters ($31.25 in case you were wondering)

a retailer buys a shirt in bulk at a unit price of $18. the shirt is marked up 36%to sell in the store. what is the price of the shirt in the store

Answers

If the bulk price is 18, then 36% of 18 is 6.48, which makes the final price 18 + 6.48 = 24.48

Answer:

24.48 dollars

Step-by-step explanation:

Keiko bought 3 pounds of fruit how many ounces of fruit salad did Keiko buy

Answers

the answer is 48 ounces because you do 16×3

Electrons and protons are particles in an atom with equal but opposite charges. Electrons have a negative charge and protons have a positive charge. What is the charge amount of an atom with 2 more electrons than protons?

Answers

Answer:

-3.2\cdot 10^(-19)C

Step-by-step explanation:

- Protons are positively charged particles contained in the nucleus of the atom. They have a charge of q_p=+1.6\cdot 10^(-19)C

- Electrons are negatively charged particles orbiting around the nucleus of the atom. They have a charge of  q_e = -1.6\cdot 10^(-19)C

For a neutral atom, the number of protons is equal to the number of electrons, so the total charge of a neutral atom is:

Q=Nq_p + Nq_e = N(q_p+q_e)=N(+1.6\cdot 10^(-19)-1.6\cdot 10^(-19))=0

In this problem, we have an atom having an excess of 2 electrons, i.e. it has 2 more electrons than protons.

Therefore, the charge of this atom will be:

Q=0+2q_e

and substittuing, we find

Q=2(-1.6\cdot 10^(-19))=-3.2\cdot 10^(-19)C

What is the probability that the product of the two numbers Drake rolls is less than 13?

Answers

ok so 2 dice
the probability means (desired outcomes)/(total possible outcomes)


one way is to list all outcomes and find the desirable ones (I will list and find product and bold all numbers less than 13)
product of 2 numbers means multiply fyi

1,1=1
1,2=2
1,3=3
1,4=4
1,5=5
1,6=6
2,1=2
2,2=4
2,3=6
2,4=8
2,5=10
2,6=12
3,1=3
3,2=6
3,3=9
3,4=12
3,5=15
3,6=18
4,1=4
4,2=8
4,3=12
4,4=16
4,5=20
4,6=24
5,1=5
5,2=10
5,3=15
5,4=20
5,5=25
5,6=30
6,1=6
6,2=12
6,3=18
6,4=24
6,5=30
6,6=36

36 possible outcomes
23 less than 13, desired outcomes=23

probability=23/36



answer is it is 23/36 probability that the number is less than 13 aka about 64%

    1    2    3    4    5    6
_________________
1| 1    2    3    4    5    6
2| 2    4    6    8   10  12
3| 3    6    9   12  15  18
4| 4    8   12  16  20  24
5| 5    10 15  20  25  30
6| 6   12  18  24  30  36

there are 23 options that are less than 13 and 36 options in total so 23/36 

hope this helps :)
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