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
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
Answers
Manuel has 4
4 gallons of diesel in his tractor. If the tractor holds 7 gallons of diesel
many more gallons does he need to add to completely fill the tractor's fuel tank
Answers
Answer:
3
Step-by-step explanation:
7-4=3
Answer:
He has three!
Step-by-step explanation:
7-4=3 so manuel needs three more gallons! Hope this helps! :)
Solve for x for 1 and 2
Answers
Answer:
1. 37.5
2. 8
Step-by-step explanation:
1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.
this means that 16/46 = 20/(x+20)
then, just solve that for x
16/46 = 20/(x+20)
divide both sides by 4
4/46 = 5/(x+20)
multiply both sides by (x + 20)
(x+20) * 4/46 = 5
multiply both sides by 46
4x + 80 = 230
subtract 80
4x = 150
divide 4
x = 37.5
2. do the same thing ( still similar triangles)
the equation would be (3x + 1)/10 = (7x - 1)/22
solve
22(3x + 1) = 10(7x - 1)
66x + 22 = 70x - 10
32 = 4x
x = 8
The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information?
A
The average weight gain of a kitten on a newly developed brand of kitten food is also 0.3 lbs. a month.
B
The average weight gain of an adult dog on a newly developed brand of adult dog food is also 0.3 lbs. a month.
C
The average weight loss of a puppy on a newly developed brand of puppy food is 0.3 lbs. per month.
D
none of the above
Answers
The Lawrence Art Museum offers individual memberships for $49.50. Once someone has
purchased an individual membership, he or she can go to the museum for just $5 per visit.
What is the cost of becoming a member and visiting the museum 12 times?
Answers
Answer:
109.50
Step-by-step explanation:
cost of membership + individual visit price
49.50+ 12*5 (cost of membership plus amount of visits * ticket price)
109.50
The cost to rent a car from Rent a Wreck is $15 a day plus a $30 deposit. The cost to
rent a car from Barely Running is $20 a day. How many days would you have to rent the
car for the cost of both companies to be the same?
Answers
Answer:
Step-by-step explanation:
Translate this phrase into an algebraic expression.
7 increased by twice Goran's savings
Use the variable g to represent Goran's savings.
Answers
Answer: 2g + 7 or 7 + 2g
Step-by-step explanation:
7 increased by twice g can be represented as 2g + 7 or 7 + 2g
2 2/5 - 1 1/3 + 3 1/2
Answers
Answer: 4 17/30
Step-by-step explanation:
2 2/5 - 1 1/3 + 3 1/2
(2 12/30 - 1 10/30) + 3 15/30
1 2/30 + 3 15/30 = 4 17/30
Have a nice day, and if you could be so nice as to give me a brainliest
Calculate the measure of angle L
Answers
==================================================
Explanation:
Lines LM and LP are tangent to the circle at points M and P respectively. The dashed radius lines are perpendicular to those tangents, which means we have 90 degree angles at points M and P.
For any quadrilateral, the four angles always add to 360 degrees.
L+M+O+P = 360
L+90+165+90 = 360
L+345 = 360
L = 360-345
L = 15
Another route you can use is the fact that opposite angles L and O are supplementary
L+O = 180
L+165 = 180
L = 180-165
L = 15
Help tbh I have no idea to what to do rn
Answers
With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What
percentage was the discount? Show your work!
LZ Math 7
Answers
Answer:
14%
Step-by-step explanation:
What is the conjugate of the binomial squareroot 6+4
Answers
Answer:
We solve 6 + 4
6 + 4 = 10.
Square root of 10:
Step-by-step explanation:
please help Me make sure you put the correct answer
Answers
Answer:
26
Step-by-step explanation:
3*8=24+2=26
V (1) = 65t+280, where time , in minutes,.the pump has been on .
how many gallons of water were.in the tank when the pumps were turned on
Answers
7
Which of the following representions are functions?
2
I. {(0,9), (3, 12), (-5, 10), (5, 10)}
II. y = x2 + 10
Х
10
-1
10
8
-2
III.
y
5
8
-5
-9
-4
O Tonly
+
O II only
o I and II only
O I, II, and III
Answers
Answer:
1,11,111 I don't know how I know it I just know it
n a class of 40 students, 15% of the students were absent on a particular day.
How many students were absent on that day?
Answers
Answer:
6
Step-by-step explanation:
15% of 40 is 6.
So 6 was absent.
Out of 40 students total 6 students were absent on the particular day.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Total number of students in a class = 40.
Also, 15% of the total students were absent on a fixed day.
To find the number of students who were absent,
Use percentage property,
Absent students = 40 x 15%
= 40 x 15/ 100
= 600 / 100
= 6
Total number of 6 students were absent on that day.
To learn more on Percentage:
https://brainly.com/question/24120406
#SPJ2
HELPP
There are 17 boys and 15 girls in a math class. The teacher is selecting 5 students to represent the school on the student advisory council.
Determine the probability, to the nearest hundredth, that exactly 3 boys will be selected.
Answers
A small class has five boys and six girls. A group of four students are to be selected at random to interview a new school director. a) Find the probability that the group contains at least one boy. b) Find the probability that the majority of the group is girls. c) Given that the group contains at least one boy, what is the chance that the boys are in the majority?
Could some please help and explain?
Answers
Answer:
x = 7
Step-by-step explanation:
A rhombus is a parallelogram where all sides are equal. Therefore, as we know two sides are equal to 7x+8 and 9x-6, we can say that
7x+8 = 9x - 6
subtract 7x from both sides to put the variable on one side
2x - 6 = 8
add 6 to both sides to isolate the variable and its coefficient
2x = 14
divide both sides by 2 to isolate x
x = 7
Help i need help IM SO CONFUSED
Answers
Answer:
1. 3/8 are female
2. 1/6 ton
3. 1 and 31/40 kg
Step-by-step explanation:
1. 5/8-male, 8/8 - 5/8 = 3/8
2. 2/15 + 3/15 = 5/15, 5/15 = 1/3, 1/3 = 10/30, (1/2 = 15/30) 15 - 10 = 5, 5/30 = 1/6
3. 7/8 + 9/10 = 71/40
Answer:
Step-by-step explanation:
1) 5/8 of the staff is male, 5/12 of the staff works part time
the question askes what fraction of the workforce is female
if 5/8ths is male than the other 3/8ths are female
3/8 of the staff is female
2) how much food was fed at night
2/15 + (2/15 + 1/15) + x = 1/2
2/15 + (3/15) + x = 1/2
5/15 + x = 1/2
1/3 + x = 1/2
x = 1/6
1/6th of a ton was fed at night
3)
just add them
7/8 + 9/10 = 71/40 or 1 31/40
(−7c+8d)0.6
khan academy pls help.
Answers
Answer:
[tex]\sf -4.2c+4.8d[/tex]Step-by-step explanation:
[tex]\sf \left(-7c+8d\right)\cdot \:0.6[/tex]
[tex]\sf 0.6\left(-7c+8d\right)[/tex]
Apply distributive property
[tex]\sf 0.6\left(-7c\right)+0.6\times \:8d[/tex]
[tex]\sf -4.2c+4.8d[/tex]
Have a good day!
Leo wants his bowling mean to be at least 150. His scores are shown. 138, 157, 146, 129, 151
What is the lowest score for Leo’s mean to be 150.0?
(1 point)
121
146
154
179
Answers
The lowest score for Leo’s mean to be 150.0 is 179.
Mean can be described as the average of a set of numbers.
Mean = sum of number / total numbers
In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.
Sum of scores = 138 + 157 + 146 + 129 + 151 = 721
The second step is to determine the sum of scores when his mean is 150
Sum of scores when mean is 150 = 150 x 6 = 900
Least score = 900 - 721 = 179
To learn more about mean, please check: https://brainly.com/question/12528427
Answer:
179
Step-by-step explanation:
One it says he wants his score to be at least 150, and then it shows what his scores are which is; 138, 157, 146, 129, 151, then it gives the options of
121
146
154
an 179
then it says what is the lowest score for Leo's mean to be 150.0
and the lowest that it can be is the answer which is 179
Hope this helped, if yes pls put thanks :D
Answers ASAP THANKS!!!
Answers
which statement about tuition is the most accurate?
Answers
Answer:
C. Public colleges are cheaper for in-state residents.
Step-by-step explanation:
A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price
Answers
Answer: Look below
Step-by-step explanation:
10% = $120.90
1% = $12.09
11% = $132.99
$1,209 + $132.99 = $1,341.99
She made a $132.99 profit or $1,341.99
—————————————————————
8% = 96.72
$1,341.99 - $96.72 = $1245.27
————————————————
Or if it is $96.72 off the price she bought it then it would be
$1,209 - $96.72 = $1,112.28
What are the factors of 14 and 7?
Answers
Catrina wants to purchase a new bag she found on sale for $68. The bag is originally priced at $80. What is the percent of change in the price of the bag?
Answers
Answer: The percent change of the bag is 15%.
1/100 = ?/? x 1/1000
Answers
Answer:
10 or 10/1
Step-by-step explanation:
1/1000 * 10= 0.01 = 1/100
Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation
Answers
Answer:
4^n-1
Step-by-step explanation:
So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)
Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items
In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).
Applying "ar^n-1 " we get,
1*4^n-1 which is , 4^n-1
Thats the formula which represents the situation....
take a factor out of the square root: 4√450
Answers
Answer:
60√2
Step-by-step explanation:
Factor the value 450
450 = 9 x 50 = 9 x 5 x 2
4√450 = [tex]4\sqrt{9*25*2[/tex]
= [tex]4*3*5\sqrt2[/tex]
= [tex]60\sqrt2[/tex]
[tex]60\sqrt2[/tex]
-Chetan K
Following are the calculation to the square root:
Given:
[tex]\bold{4 \sqrt{450}}[/tex]
To find:
square root=?
Solution:
Calculating the factor of 450:
[tex]\to 450 = 9 \times 50 = 9 \times 5 \times 2 \\\\\to 4\sqrt{450} =4 \sqrt{ 9 \times 25 \times 2}\\\\[/tex]
[tex]=4 \times 3 \times 5 \sqrt{2} \\\\ =60 \sqrt{2} \\\\[/tex]
Therefore, the final answer is "[tex]60 \sqrt{2}[/tex]".
Learn more:
brainly.com/question/19795061
How many solutions does the following equation have? 10x-1=10x+4
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
10x-1=10x+4
10x-10x=4+1
x=5
