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Finger [1]
3 years ago
5

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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Please help me with this problem TwT. Triangles.
Yanka [14]

Answer:

X = 80°

Step-by-step explanation:

it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18

this means the two bottom angles are the same so the other would also be 50°

Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle

8 0
2 years ago
Eric and Stephanie took their younger sister Melissa to pick apples. Eric picked 4 times as many apples as
vodka [1.7K]

Answer:

Melissa picked 16 apples

Step-by-step explanation:

(Eric and Stephanie) 160 divided by 10 (I put ten because I add 6 and 4)

Which will equal 16.

Hope this helps ~~~~ :)

4 0
3 years ago
Read 2 more answers
A researcher wants to see if birds that build larger nests lay larger eggs. He selects two random samples of nests: one of small
True [87]

Answer:

95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.

Step-by-step explanation:

Confidence interval is given by mean +/- margin of error (E)

Eggs from small nest

Sample size (n1) = 60

Mean = 37.2

Sample variance = 24.7

Eggs from large nest

Sample size (n2) = 159

Mean = 35.6

Sample variance = 39

Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11

Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93

Difference in mean = 37.2 - 35.6 = 1.6

Degree of freedom = n1+n2 - 2 = 60+159-2 = 217

Confidence level = 95%

Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132

E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79

Lower limit = mean - E = 1.6 - 0.79 = 0.81

Upper limit = mean + E = 1.6 + 0.79 = 2.39

95% confidence interval for the difference in average mass is (0.81, 2.39)

3 0
3 years ago
For every 3 wrapped packages Mary uses 1/2 roll of wrapping paper how many packages can she wrap with 2 1/2 rolls of wrapping pa
8_murik_8 [283]

Answer:

15 packages

Step-by-step explanation:

Set up a proportion, where x is the number of packages she can wrap with 2.5 rolls of wrapping paper:

\frac{3}{0.5} = \frac{x}{2.5}

Cross multiply and solve for x:

0.5x = 7.5

x = 15

So, with 2.5 rolls of wrapping paper, she can wrap 15 packages

8 0
3 years ago
A circle has a sector with area 27\pi27π27, pi and central angle of \purple{120^\circ}120 ∘ start color #9d38bd, 120, degrees, e
expeople1 [14]

Answer:

The radius of the circle is 9 units.

Step-by-step explanation:

To calculate the area of the circle we need to find it's radius, since we have the area of the sector and it's angle, therefore we can calculate the radius by using the following formula:

sector area = (central angle)*pi*r²/360

27pi = 120*pi*r²/360

27pi = pi*r²/3

27 = r²/3

r² = 81

r = sqrt(81) = 9

The radius of the circle is 9 units.

3 0
3 years ago
Read 2 more answers
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