All categories

3 years ago

Given that a:b = 4:5 and b:c=3.2 find the ratio a:b:c in its simplest form

2 answers:

5 0

A:b = 4:5
b:c=3:2
b was 5 then it was 3, so you have to find the common multiple which is 15.
you’d have to times the 4 (a) by 3 since that 5x3 is 15
you’d have to times the 2 (c) by 5 since 5x3 is 15 again.
therefore the answer would be
a:b:c
12:15:10
I hope this makes sense it was kinda hard to explain sorry :)

Mkey [24]3 years ago

5 0

Hello,

Step-by-step explanation:

$\frac{a}{4} = \frac{b}{5}$ and $\frac{b}{3} = \frac{c}{2}$

or 5a = 4b and 2b = 3c ⇔ 15a = 12b and 10b = 15c

In fractions :

$\frac{a}{12} = \frac{b}{15}$ and $\frac{b}{15} = \frac{c}{10}$

We have :

a:b:c = 12:15:10

You might be interested in

5+5 divded by 6 multiplied by 100 divded by 25 +1000 - 3456 multiplied by 60 and divded by 23 = what

Paladinen [302]

Answer:-9,015.23 i think plz dont come at me if wrong

Step-by-step explanation:

5+5=10/6=1.6*100=166.6/(25+1000=1025)=0.16-3456=-3,455.84*60=-207,350.4/23=-9,015.23

3 0

3 years ago

. Micro Office Products has issued 5,000 shares of cumulative preferred stock that will earn dividends at $2.38 per share; it ha

quester [9]

110000 is the total dividends of both preferred stock and common stock
So we need to find the dividend per share common stock

First find the total dividends of preferred stock
5,000×2.38=11,900

Subtract the total dividends of preferred stock for the total dividends to find the total dividends of common stock
110,000−11,900=98,100

Finally divide the total dividends of common stock by the number of common stock to find the dividend per share of common stock
98,100÷12,000=8.175....answer

Hope it helps!

5 0

3 years ago

1.What are the zeros of the polynomial function?

Lorico [155]

Let's to the first example:

f(x) = x^2 + 9x + 20

Ussing the formula of basckara

a = 1
b = 9
c = 20

Delta = b^2 - 4ac

Delta = 9^2 - 4.(1).(20)

Delta = 81 - 80

Delta = 1

x = [ -b +/- √(Delta) ]/2a

Replacing the data:

x = [ -9 +/- √1 ]/2

x' = (-9 -1)/2 <=> - 5

Or

x" = (-9+1)/2 <=> - 4
_______________

Already the second example:

f(x) = x^2 -4x -60

Ussing the formula of basckara again

a = 1
b = -4
c = -60

Delta = b^2 -4ac

Delta = (-4)^2 -4.(1).(-60)

Delta = 16 + 240

Delta = 256

Then, following:

x = [ -b +/- √(Delta)]/2a

Replacing the information

x = [ -(-4) +/- √256 ]/2

x = [ 4 +/- 16]/2

x' = (4-16)/2 <=> -6

Or

x" = (4+16)/2 <=> 10
______________

Now we are going to the 3 example

x^2 + 24 = 14x

Isolating 14x , but changing the sinal positive to negative

x^2 - 14x + 24 = 0

Now we can to apply the formula of basckara

a = 1
b = -14
c = 24

Delta = b^2 -4ac

Delta = (-14)^2 -4.(1).(24)

Delta = 196 - 96

Delta = 100

Then we stayed with:

x = [ -b +/- √Delta ]/2a

x = [ -(-14) +/- √100 ]/2

We wiil have two possibilities

x' = ( 14 -10)/2 <=> 2

Or

x" = (14 +10)/2 <=> 12
________________

To the last example will be the same thing.

f(x) = x^2 - x -72

a = 1
b = -1
c = -72

Delta = b^2 -4ac

Delta = (-1)^2 -4(1).(-72)

Delta = 1 + 288

Delta = 289

Then we are going to stay:

x = [ -b +/- √Delta]/2a

x = [ -(-1) +/- √289]/2

x = ( 1 +/- 17)/2

We will have two roots

That's :

x = (1 - 17)/2 <=> -8

Or

x = (1+17)/2 <=> 9

Well, this would be your answers.

7 0

3 years ago

Robert is building a deck in his backyard. Each piece of wood measures 42.5 inches. If he has 86 boards,how long are they altoge

BlackZzzverrR [31]

You multiply 86 by 42.5 because each board is 42.5 and there are 86 boards.

4 0

3 years ago

Please help me solve this

stiv31 [10]

Answer:

1/6

Step-by-step explanation:

First you make the denominator on the fractions the same

3 * 2 = 6

Multiply the number the same for the numerator

3 * 1 = 3

so the fraction is 3/6 since 3/6 = 1/2

4/6 - 3/6 = 1/6

she has 1/6 pipe left

6 0

3 years ago