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8_murik_8 [283]
4 years ago
14

When will dividing a whole number by a fraction result in a whole number answer? Explain.

Mathematics
1 answer:
Lubov Fominskaja [6]4 years ago
5 0

Answer:

From these examples, we can conclude, we will get a whole number  when we divide if the numerator of the fraction  is a factor of the whole number

Step-by-step explanation:

Lets look at a couple of examples

Example 1

4 ÷ 1/3

Copy dot flip

4 * 3/1 = 12

Whole number

Example 2

2 ÷11/12

Copy dot flip

2 * 12/11

24/11

11 goes into 24 2 times  

11*2 = 22  

24-22 =2

11 goes into 24  2 times with 2 left over,  The left over goes over the denominator.

2 2/11

2 2/11 is  a mixed number not a whole number

Example 3

8 ÷2/11

Copy dot flip

8 * 11/2

88/2

44


From these examples, we can conclude, we will get a whole number  when we divide if the numerator of the fraction  is a factor of the whole number

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For the function y=-1+6cos(2pi/7(x-5)) what is the minimum value?
s344n2d4d5 [400]

Answer:

The minimum value of y is -7

Step-by-step explanation:

Given: y=-1+6\cos(\dfrac{2\pi}{7}(x-5))

We are given a cosine function.

We need to find minimum value of function.

y=-1+6\cos(\dfrac{2\pi}{7}(x-5))

Here y is depends on cosine function.

y is minimum when cosine is minimum because y is directly proportional to cosine function.

Minimum value of cos x is -1

Therefore, For minium value of y

\cos(\dfrac{2\pi}{7}(x-5))=-1

Minimum value of y

y=-1+6(-1)

y=-7

Hence, The minimum value of y is -7

7 0
4 years ago
Multiply (5x + 3) by (2x + 6) using the box method.
Drupady [299]

Answer:

10x² + 36x + 18

Step-by-step explanation:

(5x + 3) (2x + 6)

10x² + 30x + 6x + 18

10x² + 36x + 18

8 0
3 years ago
A health club charges $35 a month for membership fees. Determine whether the cost of membership is proportional to the number of
Ivanshal [37]

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5 0
3 years ago
Two boats traveling toward a lighthouse that is 20o ft above sea level at its top. When the 2 boats and the lighthouse are colli
masha68 [24]

Answer:

The measure of x=11.35^{\circ}

Step-by-step explanation:

We are given that

Height of tower=200ft

Distance between two boats=250 ft

From given figure

\frac{perpendicular\;side}{base}=tan\theta

\frac{200}{base}=tan15^{\circ}

base=\frac{200}{tan15^{\circ}}=746.55 ft

Again ,

\frac{200}{746.55+250}=tan x

\frac{200}{996.55}=tan x

x=tan^{-1}(0.20069)=11.35^{\circ}

Hence, the measure of x=11.35^{\circ}

7 0
4 years ago
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Ostrovityanka [42]

Answer:

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Step-by-step explanation:

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3 years ago
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