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irakobra [83]
3 years ago
9

A container of coffee is 1/6 full. That container contains 2/3 of a pound of coffee write a division expression that represents

the capacity of the container
Mathematics
1 answer:
Marizza181 [45]3 years ago
4 0

Let us assume total capacity of the container = x pounds.

Container contains 1/6th coffee of total x pounds,  that is x/6 pounds.

We also given that 1/6th part is equal to 2/3 of a pound.

So, we could setup an equation now.

x/6 pounds equals 2/3 of a pound.

\frac{x}{6} = \frac{2}{3}

Dividing both sides by 1/6, we get

\frac{x}{6} ÷ \frac{1}{6} = \frac{2}{3} ÷\frac{1}{6}.

Therefore,  x = \frac{2}{3} ÷\frac{1}{6}

Division expression that represents the capacity of the container = 2/3 ÷ 1/6.


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An observation deck extends 120 feet out above a valley. The deck sits 70 feet above the valley floor. If an object is dropped f
Rzqust [24]

Answer:

2

Step-by-step explanation:

The height formula given is:

h = -16t^2 + 70

That means the object will be initially (t=0) at the height 70 feet, from where it will be dropped.

If we want to know the time when the object will be at height 6 feet, we just need to use h=6 in the equation, and then calculate the value of t:

6 = -16t^2 + 70

16t^2 = 64

t^2 =4

t = 2 s

So, it will take 2 seconds for the object to be 6 feet above the valley floor.

8 0
3 years ago
28 students in the class 75% pass how many students pass
SashulF [63]

Answer:

21 students pass

Step-by-step explanation:

Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction  \frac{75}{100} (which is 75% represented as a fraction).

\frac{X}{28} = \frac{75}{100}

The fraction \frac{75}{100} can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with \frac{3}{4}.

\frac{X}{28} = \frac{3}{4}

Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.

\frac{X}{28} * 28 * 4 = \frac{3}{4} * 4 * 28

The denominators cancel out leaving you with a simple equation to simplify.

4* X =  3 * 28

4X = 84

Finally, divide both sides by four in order to isolate the variable.

\frac{4X}{4} = \frac{84}{4}

X = 21.

5 0
3 years ago
Find the length of the arc.Round your answer to the nearest tenth
FrozenT [24]

Find the circumference:

Circumference = 2 x pi x radius

Circumference = 2 x 3.14 x 9 = 56.52 inches


the arc length is 45 degrees/360 degrees of the circumference.


Marc length = 56.52 x 45/360 = 7.065 inches

Rounded to the nearest tenth = 7.1 inches

6 0
2 years ago
Can someone plz help me
Pie

Answer:

41 degrees

Step-by-step explanation:

All three angles in a triangle must add up to 180 degrees. The picture already tells you that B is 63 degrees. This means A and C should both add up 117 degrees. If A is 2x+8 and B is x+7, then A+B is 3x+15. This means that 3x+15 is equal to 117 degrees.

  1. 3x + 15 = 117
  2. 3x = 117 - 15
  3. 3x = 102
  4. x = 102/3
  5. x = 34

Now that we know that x is 34, we plug it in. X + 7 becomes 34 + 7 degrees which is equal to 41 degrees.

7 0
3 years ago
What is 100000+10000x12234234x38583x34342234-2123
vaieri [72.5K]

Answer:

69420

Step-by-step explanation:

Your biological birth Mother

4 0
2 years ago
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