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2 years ago

12 less than 7 times a number x

Mathematics

1 answer:

elena-s [515]2 years ago

6 0

$7x \: - 12 \\ this \: is \: the \: equation$

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How would you represent this 5% raise?

muminat

Answer:

Convert the percentage to a fraction by placing the expression over 100. Percentage means 'out of 100'.

5/100 Cancel the common factor of 5 and 100. 1/20

Convert the fraction to a decimal by dividing the numerator by the denominator. 0.05 => 0.05 raise

Step-by-step explanation:

7 0

3 years ago

a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the con

jolli1 [7]

The volume $V_c$ of a cone with base radius $r_c$ and height $h_c$ is

$V_c = \dfrac{1}{3}\pi r_c^2 h_c$

Similarly, the volume $V_s$ of a sphere with radius $r_s$ is

$V_s = \dfrac{4}{3}\pi r_s^3$

We know that $V_c=V_s$ and that $h_c=96$

So, we can set up the following equation:

$\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3$

We can simplify the common denominator 3, and pi appearing on both sides:

$96r_c^2=4r_s^3$

We can divide both sides by 4:

$24r_c^2=r_s^3$

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

3 0

4 years ago

CAN SOMEONE PLEASE HELP ME??

Brrunno [24]

The answer would be the third one, all you are doing is substituting a value of 1 when you see an x in the function

3 0

3 years ago

The number of kilograms, y, of a radioactive element that remains after t hours can be modeled by the equation y = 0.23 ( 0.91 )

Misha Larkins [42]

Answer:

A. 9% per hour

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

$y=a(1-r)^t$

where

a is the initial value

r is the rate of decrease

we have

$a=0.23\ kg\\1-r=0.91\\r=1-0.91\\r=0.09$

Convert to percentage

Multiply by 100

$r=0.09(100)=9\%$

6 0

4 years ago

How to decompose fractions to partial fractions

Alekssandra [29.7K]

The most basic way to decompose a fraction is to break it into unit fractions which is when the numerator (the top number) is 1. 5/8 is the same as the unit fraction 1/8 five times

6 0

3 years ago

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