MATHEMATICS HIGH SCHOOL

-2 1/4÷(-3 1/3)=? Solve into a simplified proper or improper fraction.

Answers

Answer 1

Answer:

Answer:

The answer is

3/4

Step-by-step explanation:

-2 1/4÷(-3 1/3)

First convert the mixed number to an improper fraction

That's

$- 2 (1)/(4) = - (9)/(4)$

And

$- 3 (1)/(3) = - (9)/(3)$

So we have

$- (9)/(4) / - (9)/(3)$

Simplify

Change the division sign to multiplication sign and reverse the second number

That's

$- (9)/(4) * - (3)/(9)$

Simplify

We have the final answer as

$(3)/(4)$

Hope this helps you

Answer 2

Answer:

Answer:

27/40

Step-by-step explanation:

-2 1/4÷(-3 1/3)

first convert into improper fraction

-9/4 ÷ -10/3

Change the division sign by multiplying by the inverse of -10/3

the inverse of -10/3 = -3/10

-9/4 × -3/10 = (-9×-3)/(4×10)

= 27/40

27/40 is a proper fraction

Therefore, the simplified form of -2 1/4÷(-3 1/3) = 27/40

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What is the recoprocal of 1 over 4

Answers

The reciprocal of 1/4 is 4/1

In any fraction you see like 1/5 or 1/10 and you need to find the reciprocal always flip them!

Hopefully this helps you!

What is the slope of a line
parallel to the line 4x – 3y = 16?

Answers

"Parallel" means the same, which means the slope you find. The formula for slopes is y=mx+b, so we need to put this equation in the right order for that. ('m' is the slope.)
Add 4x to each side, and get -3y=16+4x. Rearrange it to get it in the right order (y=mx+b).
This is -3y=4x+16. So the number in front of 'x' is 'm', which is the slope. You never actually see 'm', it is represented by a number. So four is the slope.

Answer:

the given eqaution y=mx+b represents a straight line with slope m and the y intercept b.

So now let us see how to graph the equation y=5x+(-6):

Putting x=0, we get y=-6 which implies one coordinate is (0,-6)

Now putting x=1, we get y=-1 which implies the coordinate is (1,-1)

Putting x=2, we get y=4. So the coordinate is (2,4)

Step-by-step explanation:

add me as the brainliest

Help solve mathematics question, please. Photo.

Answers

Hi Mark

3x+y=4

2x+y=5

Solve 3x+y=4 for y

Add -3x to both sides

3x+y-3x=4-3x

y=-3x+4

Substitute -3x+4 for y in 2x+y=5

2x+y=5

2x-3x+4=5

Simplify both sides of the equation

-x+4=5

Add -4 to both sides

-x+4-4=5-4

-x=1

Divide both sides by -1

-x/-1= 1/-1

x=-1

Substitute -1 for x in y=-3x+4

y=-3x+4

y=(-3)(-1)+4

Simplify both sides of the equation

y=7

Answer: (-1,7)

I hope that's help ! Have a great weekend :)

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.