The student scored 25 points out of 45. What was their percentage (grade)?

Mathematics

1 answer:

Nat2105 [25]3 years ago

4 0

Answer:

56%

Step-by-step explanation:

25/45=0.5555555555... rounded to 56%

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If log3x – log3(x + 1) = 2log33, then x =

sergejj [24]

$1)\ \ \ log_3x-log_3(x + 1) = 2log_33\ \ \ \Rightarrow\ \ \ D:x>0\ \ \ and\ \ \ x+1>0\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ D=(0;+\infty)\\\\log_3 \frac{x}{x+1} =log_33^2\ \ \ \Leftrightarrow\ \ \ \ \frac{x}{x+1}=9\ /\cdot(x+1)\\\\x=9(x+1)\\\\x=9x+9\\\\-8x=9\ \ \ \Leftrightarrow\ \ \ x=- \frac{9}{8} \ \notin\ D\ \ \ \Rightarrow\ \ \ no\ solution\\\\$

$2)\ \ \ log3x-log3(x + 1) = 2log33\ \ \ \Rightarrow\ \ \ D:x>0\ \ \ and\ \ \ x+1>0\\. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ D=(0;+\infty)\\\\log \frac{3x}{3(x+1)} =log33^2\ \ \ \Leftrightarrow\ \ \ \frac{x}{(x+1)} =1089\ /\cdot(x+1)\\\\x=1089(x+1)\\\\x=1089x+1089\\\\x-1089x=1089\\\\-1088x=1089\ /:(-1088)\\\\x=- \frac{1089}{1088} \ \notin\ D\ \ \ \Rightarrow\ \ \ no\ solution\\\\Ans.\ the\ equation\ has\ no\ solution.$

4 0

3 years ago

Read 2 more answers

Sin^2x + sin x = 0<br> Find all solutions to the equation

Setler [38]

Factor out sin x
Sin x (sinx +1) = 0
Use the zero product property
Sin x=0
Sin x+1 = 0

Solutions
x= 0 degrees
x= 270 or -90 degrees

7 0

3 years ago

Please help me!!! Brainliest answer!!!

Vsevolod [243]

1.

$g+h=-7+3=\boxed{-4}$

2.

$g-h=-7-3=\boxed{-10}$

3.

$h-g=3-(-7)=3+7=\boxed{10}$

4.

$gh=-7\cdot3=\boxed{-21}$

5.

$g+h^2=-7+3^2=-7+9=\boxed{2}$

6.

$g^2-h=(-7)^2-3=49-3=\boxed{46}$

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3 years ago

Phil has 3 mangoes he cuts 1 and gives 3\5 to his little brother how much did he keep for him self

stellarik [79]

Answer:

2 2/5.

Step-by-step explanation:

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2 years ago

Kate earned $1800 in 8 years on an investment at a 5% annual simple interest rate.how much did kate invest?

grandymaker [24]

P x 8 x 0.05 = 1800
0.4P = 1800
P = 1800 / 0.4
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answer: Kate invested $4,500

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3 years ago