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Akimi4 [234]
3 years ago
12

Can U guys please help with this. :)

Mathematics
1 answer:
V125BC [204]3 years ago
5 0

Answer:

x=0.9

Step-by-step explanation:

1.convert to improper fractions

4x+9/7/3=3x/0.5

2.Apply fraction cross multiply

(4x+9) * 0.5=7/3 * 3x

3. simplify

(4x+9) *0.5 =7x

4.Expand

2x+4.5=7x

5.Subtract 4.5 from both sides

2x=7x-4.5

6.Subtract 7x from both sides

2x-7=7x-4.5-7x

7.Simplify

-5x=-4.5

7.Divide by -5

x=0.9

 

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Express this to single logarithm
zzz [600]

Answer:  \log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)

We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.

===========================================================

Explanation:

It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.

I'm going to use these three log rules, which apply to any base.

  1. log(A) + log(B) = log(A*B)
  2. log(A) - log(B) = log(A/B)
  3. B*log(A) = log(A^B)

From there, we can then say the following:

\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}

8 0
3 years ago
719 = (78 × 9) + ____ find the unknown number
viva [34]

Answer: 17

Step-by-step explanation:

78 x 9

=702

702 -719

= 17

4 0
3 years ago
Read 2 more answers
Mid Topic 6 Assessment
sergey [27]
4(8x + 56) = 20
= 32x + 224 = 20

4 0
3 years ago
24/? = 8/9 What is the unknown ratio?
Murljashka [212]
24 divided by 8 is 3.

3 times 9 is 27 so your ratio would be

24/27 = 8/9

or 24: 27= 8:9

so your answer is 27

-Calypso, 8th, Algebra 1 Honers
7 0
3 years ago
Ashley can ride her bicycle 15 miles in 2 hours. There are 60 minutes in 1 hour, and there are 1,760 yards in 1 mile. How many y
stepladder [879]
Speed is given by:
speed=distance/time
given that:
1 mile=1,760 yards
1 hour=60 min
then the speed in yards/sec will be:
distance Ashley covered is 15 miles
time=2 hours
thus;
speed=(15x1760)/(2x60)
=220 yards/ min
8 0
3 years ago
Read 2 more answers
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