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3 years ago

olivia divided a fraction by 3\4 the quotient was a whole number was the divident less than 3\4? explain

Mathematics

2 answers:

mojhsa [17]3 years ago

8 0

Answer:

No, it can not be possible.

Step-by-step explanation:

Since,

Dividend = Quotient × Divisor + Remainder

We know that,

$\frac{x}{y} \geq 1\text{ if }x \geq y$

While,

$\frac{x}{y} < 1\text{ if }x < y$

That is, there are two cases,

Case 1 :

If Quotient ≥ 1

Dividend ≥ Divisor

Case 2 :

If Quotient < 1

Dividend < Divisor

Here, Divisor = $\frac{3}{4}$

If quotient is a whole number, ( ≥ 1 )

It is obvious that the dividend must be greater than equal to $\frac{3}{4}$

Hence, given statement is incorrect.

svp [43]3 years ago

4 0

Good evening ,

______

Answer:

___________________

Step-by-step explanation:

Look at the photo below for the details.

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A photocopy machine can reduce copies to 80% of their original size. By copying an already reduced copy, further reductions can

alukav5142 [94]

Part a) if a page is reduced to 80%, what percent enlargement is needed to return it to its original size?

Let

x---------> the percent enlargement

we know that

the original size is the 100%

x*80%=100%

x=(100%/80%)

x=1.25--------> 1.25=(125/100)=125%

therefore

the answer Part a) is

the percent enlargement is 125%

Part b) Estimate the number of times in succession that a page must be copied to make the final copy less than 15% of the size of the original

we know that

A photocopy machine can reduce copies to 80% of their original size

Copy N 1

0.80*100%=80%

Copy N 2

0.80*80%=64%

Copy N 3

0.80*64%=51.2%

Copy N 4

0.80*51.2%=40.96%

Copy N 5

0.80*40.96%=32.77%

Copy N 6

0.80*32.77%=26.21%

Copy N 7

0.80*26.21%=20.97%

Copy N 8

0.80*20.97%=16.78%

Copy N 9

0.80*16.78%=13.42%-------------> 13.42% < 15%

therefore

the answer Part b) is

the number of times in succession is 9

6 0

3 years ago

Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ

Bas_tet [7]

Answer:

sinθ = 5/13

Step-by-step explanation:

cosθ = adjacent/hypotenuse (or you could think of it as x/r)

cosθ = -12/13

adjacent = -12

hypotenuse = 13

opposite = ?

To get the opposite, we use the Pythagorean theorem

$hypotenuse^{2} = adjacent^{2} + opposite^2$

$hypotenuse^{2} - adjacent^{2} = opposite^2$

$\sqrt(hypotenuse^{2} - adjacent^{2}) = opposite$

Now sub in the numbers:

$\sqrt{(13^2 - (-12)^2)} = opposite$

opposite = 5

Now sinθ = opposite/hypotenuse

so sinθ = 5/13

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3 years ago

Solve the equation.

Veronika [31]

Answer:

Step-by-step explanation:

183-160=23 or 160+23=183

Hope this helps!

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3 years ago

What may be revealed from a scatterplot?a. No relationship between two variables b. A linear relationship between two variables

ruslelena [56]

Answer:

Step-by-step explanation:

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4 years ago

In a 30°- 60° - 90° right triangle, the longer leg has a length of 10 square root of 3. what is the length of the shorter leg?

shutvik [7]

In a 30°-60°-90° triangle, the longer leg is √3 times the shorter leg. In your triangle, ...
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