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3 years ago

1/4 + 2/3 = equals what

2 answers:

5 0

1/4 + 2/3 = 11/12 because you need to find the common denominator which is 12. You have to multiply 1/4 by 3 to get the denominator of 12, so it becomes 3/12. Then, you have to multiply 2/3 by 4 to get the denominator of 12 which gives you 8/12 so you add 3/12 + 8/12 and you get 11/12.

Sonbull [250]3 years ago

4 0

The answer to your question is 11/12

You might be interested in

If 55% of a number is 132 and 25% of the same number is 60, find 80% of that number.

UNO [17]

Answer:

192

Step-by-step explanation:

It is always wise to look carefully at the question to see what information is given, and what information you are asked for. You are given two different fractions of the same number, and you want the value of a third fraction of that number. That third fraction is the sum of the other two.

The value of 80% of the number will be the sum of 55% and 25% of the number.

n×80% = n×55% +n×25%

n×80% = 132 +60

n×80% = 192

80% of the number is 192.

_____

Additional comment

Your first clue that there may be something special about this problem lies in the fact that one fraction of a number is all you need in order to find any other fraction. Here, we're given two fractions (55% and 25%), so that is more information than we need. Why? Because it simplifies the problem to one of addition. No proportions need to be solved.

If you were interested, you could determine 100% of the number to be ...

132/n = 55/100 ⇒ n = 132(100/55) = 240

60/n = 25/100 ⇒ n = 60(100/25) = 240

Then ...

0.80n = 0.80(240) = 192 . . . . 80% of the number

Or, you could write proportions for the 80% value:

80%/55% = n/132 ⇒ n = 132(80/55) = 192 . . . . 80% of the number

80%/25% = n/60 ⇒ n = 60(80/25) = 192 . . . . 80% of the number

"Look carefully" includes thinking about the ways the givens and the finds are related.

4 0

2 years ago

Use the Pythagorean theorem to find the length of the leg in the triangle shown below 12 15

Norma-Jean [14]

Answer:

9 = x (assuming 15 is the hypotenuse)

Step-by-step explanation:

15^2 = 12^2 + x^2

225 = 144 + x^2

subtract 144 from both sides

81 = x^2

square root both sides

9 = x

8 0

3 years ago

Eric earned 60 points on his last test if there were 75 possible points what was his percent grade

Andru [333]

So 75 points is your 100%. You can do 60 over 75 is equal to X over 100. You divide your numerator(60) by your denominator(75) to get 85.7142857%, or to round to your nearest percent, your answer would be roughly 86%.

6 0

3 years ago

I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing

Anestetic [448]

Let the lengths of the east and west sides be x and the lengths of the north and south sides be y. the dimensions you want are therefore x and y.

The cost of the east and west fencing is $4*2*x; the cost of the north and south fencing is $2*2*y. We have to put in that "2" because there are 2 sides that run from east to west and 2 sides that run from north to south.

The total cost of all this fencing is $4(2)(x) + $2(2)(y) = $128. Let's reduce this by dividing all three terms by 4: 2x + y = 32.

Now we are to maximize the area of the vegetable patch, subject to the constraint that 2x + y = 32. The formula for area is A = L * W. Solving 2x + y = 32 for y, we get y = -2x + 32.

We can now eliminate y. The area of the patch is (x)(-2x+32) = A. We want to maximize A.

If you're in algebra, find the x-coordinate of the vertex of this quadratic equation. Remember the formula x = -b/(2a)? Once you have calculated this x, subst. your value into the formula for y: y= -2x + 32.

Now multiply together your x and y values to obtain the max area of the patch.

If you're in calculus, differentiate A = x(-2x+32) with respect to x and set the derivative equal to zero. This approach should give you the same x value as before; the corresponding y value will be the same; y=-2x+32.

Multiply x and y together. That'll give you the maximum possible area of the garden patch.

5 0

3 years ago

Which of the following functions is quadratic?

jenyasd209 [6]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers