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4 years ago

What’s the correct answer for this?.

Mathematics

1 answer:

Anit [1.1K]4 years ago

3 0

Answer:

3rd one, but can you help me with my math bro

Step-by-step explanation:

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Some please help Harry can rake the leaves in the yard 8 hours faster than his little brother Jimmy can. If they work together,

pantera1 [17]

use rates, the rate a person is working is the reciprocal of the time working together, they work at a rate of 1/3 job per hour when two people work together their rates add together ---> 1/h + 1/j = 1/3 ---> h = j - 8 (harry takes 8 hrs less than jimmy) substitute and solve for j

1j−8+1j=13 combine fractions j+(j−8)j(j−8)=13 cross-multiply j2−8j=6j−24 j2−14j+24=0 Factor (j−12)(j−2)=0 j = 12 It takes jimmy 12 hours to rake the leaves

4 0

3 years ago

In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2010, Haiti also experienced a

serg [7]

Answer:

The intensity of the earthquake in Chile was about 16 times the intensity of the earthquake in Haiti.

Step-by-step explanation:

Given:

magnitude of earthquake in Chile = 8.2

magnitude of earthquake in Haiti = 7.0

To find:

Compare the intensities of the two earthquakes

Solution:

The magnitude R of earthquake is measured by R = log I

R is basically the magnitude on Richter scale

I is the intensity of shock wave

For Chile:

given magnitude R of earthquake in Chile = 8.2

R = log I

8.2 = log I

We know that:

$y = log a_{x}$ is equivalent to: $x = a^{y}$

$R = log I$

8.2 = log I becomes:

$I = 10^{8.2}$

So the intensity of the earthquake in Chile:

$I_{Chile} = 10^{8.2}$

For Haiti:

R = log I

7.0 = log I

We know that:

$y = log a_{x}$ is equivalent to: $x = a^{y}$

$R = log I$

7.0 = log I becomes:

$I = 10^{7.0}$

So the intensity of the earthquake in Haiti:

$I_{Haiti} = 10^{7}$

Compare the two intensities :

$\frac{I_{Chile} }{I_{Haiti} } }$

$= \frac{10^{8.2} }{10^{7} }$

= $10^{8.2-7.0}$

= $10^{1.2}$

= 15.848932

Round to the nearest whole number:

Hence former earthquake was 16 times as intense as the latter earthquake.

Another way to compare intensities:

Find the ratio of the intensities i.e. $\frac{I_{Chile} }{I_{Haiti} } }$

$log I_{Chile}$ - $log I_{Haiti}$ = 8.2 - 7.0

$log(\frac{I_{Chile} }{I_{Haiti} } })$ = 1.2

Convert this logarithmic equation to an exponential equation

$log(\frac{I_{Chile} }{I_{Haiti} } })$ = 1.2

$10^{1.2}$ = $\frac{I_{Chile} }{I_{Haiti} } }$

Hence

$\frac{I_{Chile} }{I_{Haiti} } }$ = 16

6 0

3 years ago

Over the past 20 years the prices of homes have increased by 30%, resulting in the average price of a house being $500,000. What

9966 [12]

Answer:

In the best 30 years for the housing market (1976-2005), real price appreciation averaged 2.2% per year. In the worst 30 years for housing (1895-1924), real price appreciation averaged -2.0% per year.

6 0

3 years ago

Read 2 more answers

Suns the value of m, rounded to the nearest tenth

german

Answer: I think is B or A

Step-by-step explanation:

7 0

3 years ago

Evaluate the expression

Marrrta [24]

The answer would be 16

11 + (8-3)^2 - 20 = 16

3 0

3 years ago