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3 years ago

How can you solve problems with ratioal numbers

Mathematics

1 answer:

Nady [450]3 years ago

8 0

Rational numbers are number a/b like fractions. You can solve them the same way you do fractions

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An item is regularly priced at $40 It is on sale for 30% off the regular price. How much (in dollars) is discounted from the reg

Ipatiy [6.2K]

12 dollars is discounted off, making the price 28 dollars.

Step-by-step explanation:

10 percent is 4$, 4×3=12

5 0

2 years ago

Descried how to derive the quadratic formula from a quadratic equation in standard form

Aleks [24]

Answer:

The standard form of a quadratic equation is:

$ax^2+bx+c=0$ , $a\neq 0$

Quadratic Formula Derivation:

$ax^2+bx+c=0\\$

$x^2+\frac{b}{a}x+\frac{c}{a} =0$

$x^2+\frac{b}{a}x = -\frac{c}{a}$

Completing the Square:

$x^2+\frac{b}{a}x +\frac{b^2}{4a^2} = \frac{b^2}{4a^2}-\frac{c}{a}$

$( x+\frac{b}{2a} )^2 = \frac{b^2-4ac}{4a^2}$

Square Root property:

$x+\frac{b}{2a} = \pm \sqrt{ \frac{b^2-4ac}{4a^2}}$

$x = -\frac{b}{2a} \pm { \frac{\sqrt {b^2-4ac}}{2a}}$

$x = \frac{-b\pm\sqrt{b^2-4ac}} {2a} }$

8 0

3 years ago

What is the number of faces (planes) for the following cubes?

Llana [10]

Cube has 6 faces/planes :)

4 0

3 years ago

What happens to a number when you multiply by 1000? Why does this happen?

Elis [28]

Answer:

the number will get 1000 times larger than its original number or 3 zeroes will be added in the last place of the number

Step-by-step explanation:

let's say x=5,

if we multiply 5 by 1000 it becomes 5000 (it is 1000 times more or larger than its orignal number and 3 zeroes are added in 5000).

8 0

2 years ago

In testing the lethal concentration of a chemical found in polluted water. it is found that a certain concentration will kill 20

sasho [114]

Answer:

a) 0.1091

b) 0.9994

c) 0.5886

Step-by-step explanation:

X = the number of fish out of 20 that die after 24 hours

x = 0, 1, 2, . . . , 20

X~ Binomial (n= 20, p =0.20)

P(14 survive) = P(X = 6)

= $nC_r p^r q^{n-r}= 20C_6 0.2^6\times0.8^{14}$ =0.1091

Similarly we can find out

P(at least 10 survive) = P( X <= 10 ) = (Using technology) = 0.9994

P(at most 16 will survive) = P(X <= 16) = (Using technology) = 0.5886

7 0

3 years ago