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3 years ago

By what percent will a fraction change if its numerator is decreased by 20% and its denominator is decreased by 60%?

Mathematics

2 answers:

Vedmedyk [2.9K]3 years ago

6 0

Answer:

The fraction will increase by 100%

Step-by-step explanation:

Say the fraction is x/y. The question is telling us to decrease x by 20% (i.e. 0.8x) and to decrease y by 60% (i.e. 0.4y):

$= \frac{0.8x}{0.4y}\\= 2 (\frac {x}{y})$

You can see that by applying these changes, the new fraction is actually double the old fraction (i.e. will increase by 100%).

KonstantinChe [14]3 years ago

4 0

Answer:

50%

Step-by-step explanation:

x=1x so 1-0.6=0.4x

y=1y so 1-0.2=0.8x

0.4x/0.8y

Simplify:

1x/2y= 0.5xy

0.5xy*100=50%

So it decreased by 50%

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Andre45 [30]

Answer:

Step-by-step explanation:

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3 years ago

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Evaluate 3ab for a = 2 and b = 3.

madreJ [45]

Answer:

Step-by-step explanation:

a = 2

b = 3

3x(2)x(3)=18

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4 years ago

Mr. Howard is a student teacher at the local junior high. His first‐period class of 40 students averaged 96% on a recent test. H

kodGreya [7K]

Answer:

The combined average is 94%

Step-by-step explanation:

for first period, number of students =40

average =96%

for second period, no of students =20

average =90%

but $average = \frac{sum of scores}{no of students}$

let $S_1$ =sum of students for the first period

$S_2$ =sum of students for the second period

for first period;

$\frac{S_{1} }{40} =96%$

$S_{1}= 96*40=3840$

for second period,

$\frac{S_{2} }{20} =90%$

$S_{1}= 90*20=1800$

therefore the combined average = $\frac{S_1+S_2}{40+20}$

that is $\frac{3840+1800}{40+20}$ $= 94%$

so combined average is 94%

3 0

3 years ago

Read 2 more answers

Joe went to the fair and tried his hand at the shooting gallery. He earned 20 points each time he hit the target but lost 50 poi

Lubov Fominskaja [6]

Answer: Joe hit the target 4 times.

Explanation: We can write this scenario as a system of equations.

Let’s express the number of times he hits the target with x.
Let’s express the number of times he misses the target with y.

“He earned 20 points each time he hit the target but lost 50 points when he miss. Joe ended the night with negative 470 points...”

20x - 50y = -470

“...after 15 shots.”

x + y = 15

Let’s write the whole system of equations.

20x - 50y = -470
x + y = 15

Let’s solve the second equation for y.

x + y = 15

Subtract x from both sides.

y = 15 - x

Let’s substitute y in the first equation with 15 - x.

20x - 50(15 - x) = -470

Distribute -50 among 15 and -x in the term -50(15 - x).

20x - 750 + 50x = -470

Combine like terms on the left side.

70x - 750 = -470

Add 750 on both sides.

70x = 280

Divide both sides by 70.

x = 4

Since we know that x = 4, we know that Joe hit the target 4 times.

8 0

3 years ago

Find the 15th term of the geometric sequence 4, 8, 16, ...4,8,16,...

AfilCa [17]

Answer:

Step-by-step explanation:

Tn = ar^(n-1)

a = 4, r = 8/4 = 2 for n = 15

T15 = 4 × 2^(15-1)

= 4 × 2^14

= 4 × 16384

= 65536

5 0

4 years ago