What is one-quarter of one-twelfth?

Answers

Answer 1

Answer: is means equal in mathematics
of means multiplication
and if we are solving for x then we can translate your equation to:

$\sf{x=(1)/(4)*(1)/(12)}$

Simplifying that more, we get:

$\sf{x=(1)/(48)}$

And your final answer is:

$\huge{\boxed{\bf{(1)/(48)~is~(1)/(4)~of~(1)/(12)}}}$

Answer 2

Answer: one quarter of one twelfth is one-forty eighth

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A school is building a rectangular soccer field that has an area of 6000 yards. The soccer field must be 40 yards longer than it's worth. Determine algebraically the dimensions of the soccer field, in yards. Show/ explain work
For his birthday party Jacob mixed together 8 gal. Of Brand A fruit punch and 2 gal. of brand B. Brand A contains 60% fruit juice an brand B contains 10% fruit juice. What percent of the mixture is fruit juice?

On a 2,000 calorie diet, how many calories would come from VEGGIES? *35% veggies
15% fruit
25% carbs
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Answers

700 cal out of the 2000
2000*.35

Cedric's basketball team scored fewer than 78 points in their last game. Which of the following inequalities represents the number of points Cedric's basketball team scored in their last game?

Answers

It would be the number from the new game with the fewer than sign than the number from the last game. So for example n>78

jack, jill and bill each carried a 48-ounce bucket full of water down the hill. By the time they reached the bottom, jack's bucket was only 3/4 full, jill's was 2/3 full, and bill's was 1/6 full. How much water did they spill altogether on their way down the hill?

Answers

divide 48 by 4 and you get 12 ounces. Therefore, each 1/4 of a bucket is equal to 12 ounces. divide 48 by 3 and you get 16 ounces. Therefore, each 1/3 of a bucket is 16 ounces. Divide 48 by 6 and you get 8 ounces. 8 multiplyed by 5 is 40. Add 40 16 and 12 and you get 68 ounces

68 ounces because 48/4= 12 so jack spilled 12 ounces. 48/3=16 so Jill spilled 16 ounces. 48/6=8 so bill spilled 40 ounces.12+16+40=68. Hope this helps

Helppp!! Please !!!!

Answers

Answer:

1) x=9

edit:

2) x=25

Step-by-step explanation:

Since all angles added together in any triangles is 180,

we can conclude that

180=(7x-1)+(5x+2)+(7x+8)

solving for x:

180=19x+9

180-9=19x

171=19x

x=9

Edit:

2)since we are given the outside angle we have to find the inside one first before finding the other angles, a straight line is 180 degrees aswell, so 180-(3x-10) would give you the inside angle in terms of x

so adding them all together again should ewual 180:

180=(180-(3x-10))+25+(x+15)

180=180-3x+10+25+x+15

0=-2x+50

2x=50

x=25

a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches shorter than the square. If the areas of the square and rectangle are equal, what is the length of the rectangle?

Answers

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) = $x^2$ ...equation (i)

Length of the rectangle = $(x+4)$

Width of the rectangle = $(x-2)$

Area of the rectangle =Length * Width

⇒ $(x+4)(x-2)=x^2-2x+4x-8$

⇒ $x^2+2x-8$ ...equation (ii)

Equating both the equation as area of both the figure are equal.

⇒ $x^2+2x-8=x^2$

⇒ $2x-8=0$ ...subtracting $x^2$ both sides

⇒ $2x=8$ ...dividing both sides with 2

⇒ $x=(8)/(2)=4$ inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒ $(x+4)=(4+4)=8$

So the length of the rectangle = 8 inches.

What is the numerical expression 5/8-5/12(3-1/4)+2/3 equal to?

Answers

Let's start with what we know. Since you're in middle school, you probably already have Order of Operations down. That's all this is. With the right order, you can solve this quick and easy :)

5/8 - 5/12 * (3-1/4) + 2/3

Start by finding the LCM of the different fractions. It's 24. You need to make the denominator of each fraction 24. Don't forget; whatever you do to one side of the fraction, you have to do to the other.

You should get 15/24 - 10/24 * (3 - 6/24) + 16/24

Now multiply everything by 24. You should get...
15 - 10(72-6)+16.
Now just solve!
15 - 10(66)+16.
15 - 660 +16.
-630 is your answer.

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