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3 years ago

Write an inverse variation equation that relates x and y. With x being 10 and y being 2

Mathematics

1 answer:

yulyashka [42]3 years ago

7 0

Answer:x=20/y

Step-by-step explanation:

x α 1/y

removing the constant of proportionality sign α and replace it with =k

x = k/y

x=10 y=2

10 = k/2

Cross multiply

10x2=k

20=k

k=20

Substitute k=20 in x=k/y

x=20/y.........required equation

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Solve x= 12x + 15. Do not include extraneous solutions.

ozzi

Answer:

$x = 12x + 15 \\ 12x - x = - 15 \\ \\ 11x = - 15 \\ x = - \frac{15}{11}$

4 0

3 years ago

Read 2 more answers

On a mountain, the temperature decreases by 18°F every 5000 feet. What integer represents the change in temperature at 20,000 ft

attashe74 [19]

To find this answer, use multiples. For every 5000 feet ascended, deduct 18 degrees. For 20,000 feet, which is (4 * 5000), use (4 * -18). In this case, the answer is -72 degrees F, so the integer described would be -72.

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3 years ago

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

Lana71 [14]

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%

Hope this helps!!

- Kay :)

6 0

3 years ago

Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is 1.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to 1.

6 0

3 years ago

Is 5 1/2 yds greater than 192 ins?

iren2701 [21]

Answer:

Step-by-step explanation:

there is 12 inches in a foot

there are 3 feet in a yard

3 x 12 = 36 in in a yard

36 x 5 1/2 is 198

198 is greater than 192

6 0

3 years ago