MATHEMATICS HIGH SCHOOL

Which of the following pairs of fractions are like fractions?a. 1/2 and 4/8
b. 7/9 and 8/9
c. 5/11 and 15/33
d. 4/3 and 3/4

Answers

Answer 1
Answer: A 1/2 and 4/8 because to make them both have same denominator you multiply 1/2 by 2 and get 4/8 or you can do it the easy way and simpliphy 4/8 to 1/2. 4 is half of 8 so there for it would be 1/2.

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A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 2 gallons of a mixture that is 29 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 49 parts gasoline and 1 part oil?
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which of the following expressions is equivalent to 20 - 4/5 x > (the > has a line under it) 16?

How to put 40,023,032 in word form

Answers

Forty million twenty three thousand and thirty two hundred
Forty million twenty three thousand and thirty two hundred

Give one example of when you would use the friendly numbers strategy to subtract.

Answers

I would say: when we want to substract numbers that are close to each other, but when the respective  digits of the number from which the second number is subtracted are lower than in the other number.


For example, when we want to substract 18 from 21. Those two numbers are very close, but if you did it digit by digit, your would run into a problem.

So instead you can collect their differences to the friendly number 20: 21 is one number away from 20, and 18 two numbers, which makes a total of 3 numbers: and 3 is the solution!

For this case, we use the strategy of friendly numbers when subtraction is something complex to do mentally.

Let's suppose that we have the following subtraction:

 117 - 83

Using friendly numbers we have:

(100 + 17) - (80 + 3)

Then, applying the associative property we have:

(100 - 80) + (17 - 3)

Doing the calculations we have:

20 + 14 = 34

Finally we have:

117 - 83 = 34

Solve the following system of equations by substitution and select the correct answer below:2x − 4y = 24
4x − 12y = 36


x = 18, y = 3

x = 18, y = −3

x = −18, y = 3

x = −18, y = −3

Answers

Answer: x = 18, y = 3

Step-by-step explanation:

Given system of liner equation is :-

2x-4y=24.....(1)\n4x-12y=36..........(2)

From (1), we get

2x=24+4y\n\Rightarrow x=12+2y.........(3)

Substitute the value of x in equation (2), we get

4(12+2y)-12y=36\n\Rightarrow\ 48+8y-12y=36\n\Rightarrow-4y=36-48\n\Rightarrow\ -4y=-12\n\Rightarrow\ y=3

Now, substitute the value of y in (3), we get

x=12+2(3)=12+6=18

x = 18, y = 3
x=(24+4y)/2

4(24+4y)/2-12y=36
48+8y-12y=36
4y=12
y=3

2x-4x3=24
2x=36
x=18

Correct answer: A

Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.

Answers

Answer:

1. geometric 2. arithmetic

Cathy volunteered to collect cans for a school project. cathy collected 125 cans in 5 days. there were 6 volunteers including cathy who each collected about the same number of cans. about how many cans did they collect ?

Answers

Everyone got 4 cans a day but one person got 5 cans everyday. How? 125/5, cans collect/number of day equals 25 cans a day if you divide by 6 you get 4.1 and they can't collect a fraction of a can so then you do 6*4=24 but you need 25 a day so one of the people got an extra can.

Answer: They collected 750 cans.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • Number of cans collected by Cathy: 125
  • Number of volunteers (including Cathy) : 6

So, calculate the total number of can that all the volunteers collected we have to simply multiply the number of cans that Cathy collected (125 ,Since each volunteer collected about the same number of cans) by the number of volunteers (6 including Cathy).  

125 x 6 = 750  cans.

Feel free to ask for more if needed or if you did not understand something.

The remainder when x^3 - 11x + 10 is divided by (x+3) isA 52
B 16
C 4
D -24

I was doing a past paper and came across this,I know one (long) way of doing this and was just wondering if anyone could show me a shorter way!!!

Answers

If you divide a polynomial P(x) by a binomial x-c, then the remainder is equal to P(c).

c=-3\nR(x)=P(-3)\nR(x)=(-3)^3-11\cdot(-3)+10\nR(x)=-27+33+10\nR(x)=16
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