If 5/6 is divided by a certain fraction a/b, the result is 1/4. What is the fraction a/b?

pishuonlain [190]

Answer:

x = 18

Step-by-step explanation:

To solve this problem, we can use the exterior angle theorem, which means the measure of an exterior angle is the sum of its remote interior angles. In this case, this would mean:

x + 72 = 5x

Since this gives us an equation, we can just solve for x:

x + 72 = 5x

72 = 4x

x = 18

7 0

3 years ago

A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha

grin007 [14]

Answer:

The radius of the pie is 6.17 in.

Step-by-step explanation:

The formula for arc length as a function of radius is

s = r·Ф, where Ф is the central angle in radians.

Here we know that the arc length is 7.85 in. Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is

2π / 8, or π /4 (radians).

thus, s = r·Ф, solved for r, is r = s/Ф

and in this instance r = (7.85 in)/(π/4). Evaluating this, we get:

r = 6.17 in

The radius of the pie is 6.17 in.

8 0

4 years ago

Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are

Alex787 [66]

Answer:

15 miles per hour is the speed of the slower train.

Step-by-step explanation:

As given in the figure attached,

Let the speed of train 1 is v and train 2 is u.

Therefore, distance traveled in 2 hours by train 1 will be = 2v miles

and distance traveled by train 2 will be = 2u miles

Now we can see in the figure a right angle triangle is formed by the two trains.

AB² + BC² = AC²

(2v)² + (2u)²= (65.30)²

4v² + 4u² = 4264.09

Now we divide this equation by 4

v² + u² = 1066.02

If speed of the slower train is v miles per hour then as per statement of the question.

u = v - 14

v = u + 14

By putting the value of v in the equation

(u + 14)² + u² = 1066

u² + 196 + 28u + u² = 1066

2u² + 28u + 196 = 1066

2u² + 28u + 196 - 1066 = 0

2u² + 28u - 870 = 0

By diving this equation by 2

u² + 14u - 435 = 0

u² + 29u - 15u - 435 = 0

u(u + 29) - 15(u + 29) = 0

(u + 29)(u - 15) = 0

u = -29, 15

Since speed can not be with negative notation so u = 15 miles per hour will be the speed.

Therefore, 15 miles per hour is the speed of the slower train.

5 0

3 years ago

456 divided by n=4.56

Arlecino [84]

To find this out, just divide 456, by the answer of 4.56
So once you divide that, you get 100.
So, n=100
CHECK:
456 divided by 100=4.56
~~~~~~~~~~~~~~~~~~~
Hope this helped :)

8 0

3 years ago

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in Mrs. Dawson's class, 16 out of 24 students made at least an 80% on the last math test. Write a ratio in simplest form compari

Thepotemich [5.8K]

16:24 students made at least 80% on the test. The question is what is the ratio of students who scored below an 80% to the total number of students. 8:24 would be the right answer, but since it is asking for the answer in the simplest form, it would be 1:3.

4 0

3 years ago

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