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3 years ago

Ivan has 4 hours of music on his mp3player. Jazz makes up 1/6 of the total time . How many hours of jazz are in Ivan MP3 player

1 answer:

3 0

So he has 4 hrs on his mp3 player...for which jazz makes up 1/6 of it..

so we need 1/6 of 4 hrs...." of " means multiply
1/6 * 4 = 4/6 = 2/3 of an hr <==

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exis [7]

Answer:

Part 1) The length of the longest side of ∆ABC is 4 units

Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

3 0

2 years ago

The graph of the equation y=−5x+b goes through the point A(5, −2). Find the value of b.

TEA [102]

Answer:

Step-by-step explanation:

y+2=-5(x-5)

=-5x+25

subtract 2 from the left side and subtract it from the 25

y=-5x+23

7 0

2 years ago

Read 2 more answers

The original price was $60 and the new sales price is $45. What is the percent discount?

cestrela7 [59]

Answer: 25%

Step-by-step explanation:

$\frac{60}{45}=\frac{100}{x}$

$x=\frac{45*100}{60} \\x=75$

Subtract 75% from 100%

100-75=25%

5 0

2 years ago

Read 2 more answers

Lacy has a $1000 bond with a 6.2% coupon that she purchased for $1025. What is the yield of this bond? Round your answer to 2 de

Ede4ka [16]

So the question is asking what is 6.2% of 1000? Then rounding our decimals?

4 0

2 years ago

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1760 yards in a mile. What does one cubic mile represent

iragen [17]

One cubic mile represent the volume of a cube with sides length equal 1 mile

hope this helped

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2 years ago