112 1/2 as a fraction

Answers

Answer 1

Answer: 112 1/2 = (2 x 112 + 1)/2 = (224 + 1)/2 = 225/2

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What is 9/10 - 3/10 in simplest form?

Answers

9/10 - 3/10 = (9 - 3)/10 = 6/10 = 3/5

What Is the next number? 12 21 23 32 34 43

Answers

12 21 23 32 34 43
so, we add 11 to 12 and get 23, then we add 11 to 23 and get 34, now we have to add 11 to 34 and get 45, that is the next number:
12 21 23 32 34 43 45 54

The next number of the number series 12 21 23 32 34 43 would be; 54

We are given the series as;

12 21 23 32 34 43

First, we have to add 11 to 12

11 + 12 = 23,

then we add 11 to 23

11 + 23 = 34,

Now we have to add 11 to 34

11 + 34 =45,

This is the next number:

12 21 23 32 34 43 45 54

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Divide £10 into the ratio 2:3

Answers

add the ratio together in this case 2+3. then divide the number by that. in this case 60/5. with that number, in this case 12, multiply this number bu the ratio.. (12*2) : (12*3) it will give you a ratio of 24:36

2+3=5
2/5*60=12*2=24
3/5*60=12*3=36 =24:36

You manage a health food store and budget $80 to buy ingredients to make 30 pounds of trail mix. Peanuts cost $2.50 per pound, raisins cost $2.00 per pound, and granola costs $4.00 per pound. If you use twice as many pounds of peanuts as raisins, how many pounds of each ingredients should you buy?

Answers

Answer:

8 pounds of raisin, 6 pounds of granola and 16 pounds of peanuts

Step-by-step explanation:

Lets form equations first.

->Peanuts cost $2.50 per pound, raisins cost $2.00 per pound, granola costs $4.00 per pound

2.50p + 2.00r + 4.00g= 80 -->eq(1)

-> bought ingredients to make 30 pounds of trail mix

p+ r+ g= 30 -->eq(2)

->If you use twice as many pounds of peanuts as raisins

2r=p

eq(1)=> 2.50p + 2.00r + 4.00g= 80

2.5(2r) + 2r +4g =80

5r + 2r + 4g =80

7r + 4g =80

eq(2)=>

2r+ r+ g= 30

3r + g =30

-4(3r + g =30)

7r + 4g =80

_______________

-5r = -40

r= 40/5 =>8

For 'g':

3(8) + g =30

g= 6

For 'p':

2r=p

p=16

therefore, 8 pounds of raisin, 6 pounds of granola and 16 pounds of peanuts should be bought

Final answer:

The solution to the problem is to buy 20 pounds of peanuts, 4 pounds of raisins and 6 pounds of granola.

Explanation:

This problem requires the use of algebra. Let's denote the amount of peanuts as x, the amount of raisins as y and the amount of granola as z. We have certain constraints according to the problem that need to be satisfied. These are:

2*y = x (since the amount of peanuts is twice that of raisins)
x + y + z = 30 (total weight should equal 30 pounds)
2.5x + 2y + 4z = 80 (total price should not exceed $80)

First, substitute x = 2y from the first equation into the other two equations. This gives you the new equations y + z = 10 and 9y + 4z = 80. Next, solve these simultaneous equations. The solutions are y = 4, z = 6. Substituting y into the first equation gives us x = 2*4 = 20. So, you should buy 20 pounds of peanuts, 4 pounds of raisins and 6 pounds of granola.

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Taylor and Jesse are buying a magazine for $3.75 and a snack for $2.49. If they split the total cost between the two of them, how much will they each pay?