Answers
3^5x = 3 ^ 3(2x-4)
This becomes
3^5x= 3 ^6x-12
Now that the bases are the same, set the exponents equal to one another
5x= 6x-12
Subtract 6x on both sides
-x= -12
Divide -1 on both sides
X=12
#brainliest????
Answer:
x = 12
Step-by-step explanation:
First:
[tex]27=9*3=3*3*3=3^3[/tex]
If you rewrite the 27 into base 3 like that:
[tex]3^{5x}=3^{(3)\times(2x-4)[/tex]
Now that both sides have the same base, you can cancel them out. This is the simplest example of that I can think of:
[tex]2^x=2^x[/tex]
Here, the exponent obviously has to be equal for this to be true, right? The exponents do have to be equal, so you can drop the bases completely:
[tex]x=x[/tex]
Same for the problem we have above. It's a base 3 on both sides, and for them to be equal, the exponents also have to be equal.
[tex]3^{5x}=3^{(3)\times(2x-4)}\\5x=(3)\times(2x-4)\\5x=3(2x-4)[/tex]
Now, you can simply solve for x.
[tex]5x=6x-12\\-1x=-12\\x=12[/tex]
Related Questions
Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.
gb-m=9
Answers
Answer:
g=10
b=1
m=1
Step-by-step explanation:
Maria's monthly income is $1,250. She can afford to spend 25% of her income for rent. How much can she pay for rent each month?
Answers
Answer:
312.5
Step-by-step explanation: 25 percent of 1250 is 312.5(calculated)
to check your answer we multiply 312.5 by 4 as its (25%=1/4)
Solve for g.
f=1/3(g+h-k)
help it’s timed
Answers
Answer:
g = 3f - h + k
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
Please help will give brainliest.
What is the factored form of the following expressions?
d2 + 16d + 60
Group of answer choices
(d – 10)(d – 6)
(d + 10)(d + 6)
(d – 10)(d + 6)
(d + 10)(d – 6)
Answers
Answer:
B.
Step-by-step explanation:
Answer: (d+10) (d+6)
Solve for x.
5.3>x+25
x>4910
x<5710
x<4910
x>5710
Answers
Answer:
x= < 4 9/10
Step-by-step explanation:
I hope this helps
Have a great and blessed day
Answer:
K12 Answer
Step-by-step explanation:
???????? Helppppppppp
Answers
In ∆RAM and ∆REP
m<E=m<ALet's check ratio
[tex]\\ \sf{:}\longrightarrow \dfrac{AR}{RE}=\dfrac{4}{12}=\dfrac{1}{3}[/tex]
[tex]\\ \sf{:}\longrightarrow \dfrac{RM}{RP}=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Hence
option B is correct
Answer:
[tex]second \: one \: is \: correct[/tex]
Rewrite the linear equation 2x = 13y – 9 in slope-intercept form
Answers
Answer:
[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]
Step-by-step explanation:
we need to write it in the form y = mx + c where m is the slope(gradient) and y is the y intercept
1) add 9 to both sides
2x = 13y - 9
2x + 9 = 13y
2)divide 13 on both sides
2x + 9 = 13y
2/13x + 9/13 = y
final equation is
[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]
PLEASE HELP ME RNNNNN!!!!!! I NEED THE ANSWERS
I really need help don’t answer if your not giving the correct answer don’t respond
Answers
Answer:
pretty sure its A
Step-by-step explanation:
The sum of three consecutive odd numbers is 153 find the number
Answers
Answer:
Divide the no. by three
Step-by-step explanation:
153÷3 = 51
so, 51+51+51 = 153
Answer:
an odd number can be expressed as 2n+1 (2n would be even, add 1 = odd)
first number = 2n+1
second number = 2n+3 -> skip + 2 because it would make it even
third number = 2n+5
2n+1+2n+3+2n+5=153
6n+9=153
6n=144
n=24
24*2+1=48+1=49
24*2+3=48+3=51
24*2+5=48+5=53
the numbers are 49, 51, and 53.
What is the sine rule
Answers
Answer:
Sine, in a right triangle, is the side opposite to the angle divided by the hypotenuse.
Law of sines (on any triangle) is
[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]
where A, B, and C are angles and a, b, and c are side lengths opposite to the angles.
Answer:
sine rule states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.
Step-by-step explanation:
In a triangle with sides a,b,c:
a/sin A = b/sin B = c/sin C
solve for x 12+6x/3= 5-9/2
Answers
Answer: I hope this helps! :)
x = -3
rearrange terms: 6x+12/3 = 5-9/2subtract the numbers: 6x+12/3 = -4/2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)simplify fractions: 6x+12/3 = -2eliinate fractions denominators: 3 times 6x+12/3 = 3(-2)multiplt the numbers: 6x + 12 = -6subtract 12 from both sides of the equation: 6x + 12-12 = -6-12simplify: 6x = -18divide both sides of the equation by the same factor: 6x/6 = -18/6x = -3Answer: x=-3
Answer:
[tex]x = -3[/tex]Step-by-step explanation:
[tex]\frac{12 + 6x}{3} = \frac{5 - 9}{2}[/tex]=> [tex]2(12 + 6x) = 3(5 - 9)[/tex]=> [tex]24 + 12x = 15 - 27[/tex]=> [tex]24 + 12x = -12[/tex]=> [tex]24 + 12 = -12x[/tex]=> [tex]36 = -12x[/tex]=> [tex]x = -3[/tex]Conclusion:
Therefore, x = -3
Hoped this helped.
[tex]GeniusUser[/tex]
A lady is 5 years younger to her husband and he is 5 times as old as his daughter. If the daughter was 5 years old 3 years back, what is the present age of the lady? 25
45
35
30
Answers
Answer:
35
Step-by-step explanation:
5x (5+3)=40-5=35
45. You decide to market your own custom computer software. You must invest $3,255 for
computer hardware, and spend $2.90 to buy and package each disk. If each program sells
for $13.75, write a system of equations and determine how many disks you must sell to
break even.
Answers
Awnser please jsjshshshdh
Answers
Answer:
No
Step-by-step explanation:
A function cannot have two of the same x values (3 and 3)
I hope this helps!
a) What is the domain?
b) What is the range?
c) Is this relation
a function?
Answers
Answer:
Step-by-step explanation:
A. x is negative infinite to positive infinite
b. Y=3
c. Yes
reasoning
a. It’s asking what can x equal Be used domain is like another name for x and of you look on thw graph the arrow is crossing all the x points
B. It’s asking for y since range is another name for y and you see on the y axis, y is only interacts with three and no other point so it’s just y=3
C. It’s a function because it passes the vertical line tes!
PLEASE ANSWER AS SOON AS YOU SEE THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which expression is equivalent to 5 (2 + 7)? 2 (5 + 7) 2 + 7 (5) 5 (2) + 7 5 (2) + 5 (7)
Answers
Answer:
D. 5 (2) + 5 (7)Step-by-step explanation:
Given expression:
5(2 + 7)Distribute this to get:
a(b + c) = ab + ac5(2 + 7) = 5(2) + 5(7)Correct choice is D
Answer:
D. 5 (2) + 5 (7)
Step-by-step explanation:
Given expression:
• 5(2 + 7)
Distribute this to get:
• a(b + c) = ab + ac
• 5(2 + 7) = 5(2) + 5(7)
correct choice is D
What is the distance between -10 and 17 on the number line?
Answers
Find the difference:
17 - (-10) = 27
So the distance between 17 and -10 is 27.
Answer: 27
Step-by-step explanation:
What is the value of q
Answers
Answer:
Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
Which ordered pair is a solution to the system of inequalities?
{y > -2
{x + y ≤ 4
A. (1,3)
B. (0, -4)
C. (-2,-3)
D. (1,5)
Answers
A (1,3) is a solution to the system of inequalities
I do believe i need help.
Answers
Answer:
A
Step-by-step explanation:
Can't have 0 in the denominator
please help asap for brainlist
Answers
Answer:
Both graphs have a y-intercept of (0,1) and y=6^x is steeper
Step-by-step explanation:
Plug in 0 for x to find the y-intercept. THey would both be raised to the 0th power meaning both y's equal 1. So, they both have the y-intercept of (0,1).
y=6^x is steeper becuase when you graph it, you can see it is. Also of course 6 is higher than 3.
Follow me on intsa: ifaulkner24
Send me a message on it and I'll follow you right back
Please help
Thank you
Answers
Answer:
m ∠JPN = 131°
Step-by-step explanation:
m ∠JPL = m ∠MPK Vertical angles are =
7x + 19 = 11x -17 Substitution
- 4x = -36 Algebra: Solving for x
x = 9 Algebra: Solving for x
m ∠JPL = 82° Substitution x = 9 into m ∠JPL = 7x +19
m ∠JPL + m ∠LPK = 180° Definition of linear pair/supplement
angles = 180°
82° + m ∠LPK = 180° Substitution
m ∠LPK = 98° Algebra
m ∠LPK = m ∠LPN + m ∠NPK Angle addition Theorem
PN bisects ∠LPK Given
m ∠LPN = m ∠NPK Definition of angle bisector
98 ° = 2 ( m ∠LPN) Substitution
m ∠LPN = 49° Algebra
m ∠JPN = m ∠JPL + m ∠LPN Angle Addition
m ∠JPN = 82° + 49° Substitution
m ∠JPN = 131° Addition
Is 0.5 x 10^4 = 50,000? or 5,000? PLEASE SOMEONE HELP ME WITH THISS. Just tell me if is one of those!! If you see this help me rn bc i gotta do this rn LOL
Answers
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\boxed{\mathbf{0.5\times10^4}}\\\large\boxed{\mathbf{= 0.5\times10\times10\times10\times10}}\\\large\boxed{= \mathbf{0.5\times100\times100}}\\\large\boxed{= \mathbf{0.5\times 10,000}}\\\large\boxed{\mathbf{= 5,000}}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{5,000}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Eva is flying a kite, holding her hands a distance of 2.75 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 25°. If the string from the kite to her hand is 130 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.
Answers
Answer: 57.7 feet above the ground
sin 25= opposite/hypotenuse
= x/130
130 sin 25 = x
x=54.940374
54.940374+2.75 = 57.7
A diver dove from a board that was 6 3/4 feet above the water's surface, and descended until he was 8 1/3 feet below the water's surface. What was the total distance that the diver desceded?
Answers
Answer:
15 1/12 feet
Step-by-step explanation:
Well if he descended 8 1/3 feet below the water, that means he must've went from board to water which is 6 3/4 feet then down 8 1/3 feet
6 3/4 + 8 1/3
= 6 9/12 + 8 4/12
=15 1/12 feet
Andrew measured a line to be 12.2 inches long. If the actual length of the line is 12.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
The percent error of the measurement, to the nearest tenth of a percent is 3.9%
Given:
Length measured = 12.2 inches
Actual length = 12.7 inches
Error = Actual length - Length measured
= 12.7 - 12.2
= 0.5
Percentage error = error / actual value × 100
= 0.5/12.7 × 100
= 0.039370078740157 × 100
= 3.937%
Approximately,
Percentage error = 3.9%
Therefore, the percent error of the measurement, to the nearest tenth of a percent is 3.9%
Learn more about percentage error:
https://brainly.com/question/5493941
The Heads Up Salon charges a stylist $50 a day to rent a station at the salon. Jenny, one of the stylists, makes $25.50 for each haircut. Write an equation that could be used to determine how many haircuts, h, Jenny must give in one day to make $154 after paying rent for her station.
Answers
Answer:
50h+25.5=154
Step-by-step explanation:
PLEASE HELP FAST
WILL MARK BRAINLIST
Answers
Answer:
1, (c) 2,(c) 3,(a)
Step-by-step explanation:
1, f (x) = 2-x and f(2) = 2-2
for example f(-4) = 2-(-2) = 0
=4
3, 120° - 60° = 60
120 to 140 what is the percent of change?
Answers
Answer:16.667%
Step-by-step explanation:
140 - 120 = 20
20 / 120 = 16.667%
For a new neighborhood, 100 acres of land will be split into 10 lots.How many acres of land will each lot have?
Answers
10
Step-by-step explanation:
I think it's 10 my bad if I'm wrong
