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Troyanec [42]
3 years ago
5

Lg(5x+10)+2lg3=1+lg(4x+12)need them fast with steps

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer:

x=6

Step-by-step explanation:

log(5x+10)-log(4x+12)=1-2log(3)

log(5x+10/4x+12)=1-2log(3)

log(5x+10/4x+12)=log(10)+log(3^-2)

log(5x+10/4x+12)=log(10×3^-2)

log(5x+10/4x+12)=log(10×1/9)

log(5x+10/4x+12)=log(10/9)

5x+10/4x+12=10/9

9(5x+10)=(4x+12)10

45x+90=40x+120

5x=30

x=6

if you like my answer. Please mark me as brainliest

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(2x-3)(3x+4) expand and simplify
elixir [45]

Answer:

6x² - x - 12

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor.

(2x - 3)(3x + 4)

= 2x(3x + 4) - 3 (3x + 4) ← distribute both parenthesis

= 6x² + 8x - 9x - 12 ← collect like terms

= 6x² - x - 12 ← in expanded form


5 0
3 years ago
What is the solution of the equation?<br> -39.75 = 7.5m
kolezko [41]

Answer:

m = -5.3

Step-by-step explanation:

-39.75 = 7.5m

Divide both sides by 7.5 to get m alone

-39.75/7.5 = 7.5m/7.5

-5.3 = m

Hope this helps:)

6 0
3 years ago
Read 2 more answers
Tamika has two bags of trail mix. Each has a combination of 60 pieces of fruit and nuts. Ratio of fruit to nuts in the first bag
madam [21]

Answer:

the second bag because the ratio is greater

Step-by-step explanation:

Bag1

fruits 3 : 5 nuts so 3+5=8 and 60/8=7.5 but 7.5*3=22.5

ratio is 3/5=0.428

Bag2

fruits 7 : 10 nuts so 10+7=17 and (60/17)*7 ≈ 24.7

ratio is 7/10=0.7

4 0
3 years ago
Read 2 more answers
Please help as soon as possible
Zolol [24]

Answer:

Diameter = 24 mm

Step-by-step explanation:

Volume of a sphere is 4/3 πr^{3}

First, we solve for radius:

2304π = 4/3πr^{3}

Multiply both sides by 3

3(2304π) = 4πr^{3}

Divide both sides by 4π

6912π/4π = r^{3}

1728 = r^{3}

Cuberoot both sides

\sqrt[3]{1728} = r

r= 12

Hence, the diameter would be: 2times the radius = 2*12= 24 mm

Hope this helps!

Please mark brainliest if you think I helped!

Would really appreciate!

5 0
3 years ago
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WILL GIVE BRAINLIEST. Joanna saves nickels and quarters in a jar. If she saved five times as many nickels as quarters, and her c
vekshin1

Answer:

78 quarters

Step-by-step explanation:

I think because, I created an equation, 5x = 390 and solves to get 78

3 0
3 years ago
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