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Blababa [14]
3 years ago
8

Divide 5 in a ratio of 1:2:3

Mathematics
1 answer:
anastassius [24]3 years ago
4 0
In plain and short, we simply divide 5 by (1+2+3) and then distribute the pieces likewise

\bf 5\qquad 1:2:3\qquad \cfrac{5}{1+2+3}\implies \cfrac{5}{6}
\\\\\\
\stackrel{\textit{ratio of 1}}{1\left( \frac{5}{6} \right)}\qquad \stackrel{\textit{ratio of 2}}{2\left( \frac{5}{6} \right)}\qquad \stackrel{\textit{ratio of 3}}{3\left( \frac{5}{6} \right)}\qquad \implies \qquad \frac{5}{6}~:~\frac{5}{3}~:~\frac{5}{2}

add the ratios up, and you'll get 5.
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AB = x + 8
vivado [14]

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

3 0
3 years ago
After how many audio books will both book clubs cost the same amount.​
bulgar [2K]

Answer:

2 books

Step-by-step explanation:

10 + 5x = 16 + 2x

    - 2x         - 2x

10 + 3x = 16

-10          -10

3x = 6

/3    /3

<u>x = 2</u>

4 0
3 years ago
9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?
solmaris [256]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(x) = 5x - 4

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f(2a) = 5(2a) - 4

f(2a) = 10a - 4

156 = 10a - 4

10a - 4 = 156

Add sides 4

10a - 4 + 4 = 156 + 4

10a = 160

Divide sides by 10

\frac{10a}{10}  =  \frac{160}{10}  \\

a = 16

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

7 0
3 years ago
While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it
son4ous [18]
To start, find your equation, n=3000(.5)^t, n being your number of bacteria and t being your time. Now plug in 375 for n and solve for t, 375=3000(.5)^t, .125=.5^t, t=log_{.5} .125=3. This means your answer is 3 minutes. To check it, plug it into your equation. n=3000(.5)^t=3000(.125)=375
5 0
3 years ago
Graph each line using intercepts 1/4 x + 2y =2
Leno4ka [110]

The given equation is,

\frac{1}{4}x+2y=2

It can be rewritten in the form of y=mx+c, where c is the y intercept.

Hence,

\begin{gathered} 2y=-\frac{1}{4}x+2 \\ y=\frac{-1}{4\times2}x+\frac{2}{2} \\ y=\frac{-1}{8}x+1 \end{gathered}

Put different values for x and find value of y.

When x=0, y=1.

When x=1,

y=\frac{-1}{8}+1=\frac{7}{8}

The graph is,

5 0
1 year ago
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