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2 years ago

Find the quotient. 154 divided by 14

Mathematics

1 answer:

Softa [21]2 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{154}{14} =11\\\\check: 11*14=154$

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The length of a rectangle is 7 centimeters greater than the width. If 4 centimeters are added to both the length and the width,

lorasvet [3.4K]

Answer:

3 cm by 10 cm

Step-by-step explanation:

Assuming the new dimensions are integers, we can look at the factors of 98 to see what they might be.

98 = 1·98 = 2·49 = 7·14

The latter two factors differ by 7, so are the dimensions after 4 is added. The original dimensions are ...

7 - 4 = 3 . . . . cm

14 -4 = 10 . . . . cm

The dimensions of the original rectangle are 3 cm by 10 cm.

3 0

3 years ago

The difference of two numbers is 15.Five times the smaller is the same as 9 less than twice the larger.Find the numbers

Lana71 [14]

Answer:

small number = -3

large number = 12

Step-by-step explanation:

Suppose two numbers are x and y

smaller number = x

larger number = y

Given that,

The difference of two numbers is 15

<h2>Equation 1</h2><h3>y - x = 15</h3>

Five times the smaller is the same as 9 less than twice the larger.

<h2>Equation 2</h2><h3>5x = 9 - 2y</h3>

Solve them

-x = 15 - y

x = y -15

put value of x in equation 2

5(y - 15) = 9 - 2y

-75 + 5y = 9 - 2y

-75 - 9 = -2y - 5y

-84 = -7y

y = 84/7

y = 12

x = 12 - 15

x = -3

8 0

3 years ago

What is the greatest 3 digit number and express it in the form of its prime factors

inna [77]

Answer:223

Step-by-step explanation:

8 0

3 years ago

What function is graphed below?

klasskru [66]

Answer:It's A.

I took the quiz on edge and got it correct.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

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