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ale4655 [162]
3 years ago
7

the runner's time to complete the marathon is 45 minutes. The time to complete the last marathon was 49.5 minutes. What is the p

ercent decrease of the time ?
Mathematics
1 answer:
Lana71 [14]3 years ago
6 0

Answer:

9.09%

Step-by-step explanation:

To find percent decrease you have to use this equation:

Percent Decrease = \frac{Initial -New}{Initial} x 100

Initial = 49.5

New = 45

Plug in and solve:

PD = \frac{49.5-45}{49.5} x 100\\\\PD = \frac{4.5}{49.5} x 100 \\\\PD = 0.0909 x 100\\\\PD = 9.09

The percent decrease is 9.09%

<em>Hope this helps!!</em>

<em>- Kay :)</em>

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A postcard has an area of 24 square inches. Two enlargements of the postcard have areas of 54 square inches and 96 square inches
Alex777 [14]

Answer:

original is 4 & 6.

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Step-by-step explanation:

Given: The length is 1.5 times the width.

so the length is, l = 1.5w ----(a)

lw = 24  =1.5w(w)

lw = 54= 1.5w(w)

lw = 96 =1.5w(w)

Further simplifying it,

1.5w^{2}=24

1.5w^{2}=54

1.5w^{2}=96

so,

w^{2} = \frac{24}{1.5}=16

w^{2}= \frac{54}{1.5} =36

w^{2}= \frac{96}{1.5} =64

taking the square root, we get:

w = 4

w = 6

w = 8

By putting the above values in eq (a), we can find their corresponding lengths:

l = 1.5(4) = 6

l = 1.5(6) = 9

l = 1.5(8) = 12

So a few lengths could be:

(l, w)

(6,4)

(9,6)

(12,8)

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3 years ago
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Answer:

6

Step-by-step explanation:

if y-intercept is 8, means when x = 0, y = 8

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Step-by-step explanation:

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This is because exponents increase a number, for example 2, and, 2^2 <em>squaring a number is basically multiplying it by itself.</em> So 2 * 2 = 2^2=4. Now obiviously 4 is greater than 2. But lets make the numbers like this:

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And again, \frac{1}{2}*\frac{1}{2} = (\frac{1}{2})^2 = \frac{1}{4}

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