Answer:
C. is the correct option
C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3
and x = - 14
Step-by-step explanation:
8 ^ (x + 3) = 2 ^ (2x - 5)
Here is how the student solved the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
2 ^ (3x + 3) = 2 ^ (2x - 5) ----- This is where the student made the error.
The student did not distribute 3 in * (2 ^ 3) ^ (x + 3).
This is how to solve the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
Then, we will 3 distribute in (2 ^ 3) ^ (x + 3), so that we get
2 ^ (3x +9) = 2 ^ (2x -5)
Since the bases on both sides of the equation are equal, we can equate the powers so that we get
(3x +9) = (2x -5)
Then we will collect like terms
3x - 2x = -5 -9
∴ x = -14
This solution could be better written in this format
[tex]8^{x+3} = 2^{2x-5} \\2^{3} ^{(x+3)} = 2^{2x-5}\\2^{(3x+9)} = 2^{2x-5}\\{(3x+9)} = {2x-5} \\3x-2x= -5-9\\x = -14[/tex]
Your cell phone plan costs $24..99 per month plus $0.17 for each text message you send or receive. You have at most $29 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month?
Answer:
The maximum number of text messages you can send per month would be 23.
Step-by-step explanation:
1. First, you want to create an inequality from the word problem. You know that $24.99 is a constant, so we won't put any variables next to it. You also know that each text message is $0.17, so that would need a variable since it can change each month. You also know that you can spend $29 maximum each month, so that goes on the other side of the inequality. Your inequality will look like this: 0.17x+24.99≤29 (x is the number of text messages).
2. Second, you want to solve for x. To do this, subtract 24.99 from each side. After this, the equation is 0.17x≤4.01
3. Now, divide each side by 0.17. Now your inequality is x≤23.59. This represents how many text messages you can send per month without going over 29.
4. Finally, you have to realize that is impossible to send exactly 23.59 text messages. So, you have to round down to 23 to get an even number of text messages, and that's your answer!
Hope this helps! Feel free to ask any questions :)
The Bureau of Labor and Statistics (2018) reports that the average earner with a high school diploma will earn about $35,000 per year, an earner with a bachelor's degree will earn about $59,000 per year. The average salary of the high school graduate is what percent of the college graduate?
Answer:
59.322% or 59%
Step-by-step explanation:
devide 59,000 from 35,000 to get the answer.
After that, you will get 59% (rounded).
the answer is D (59.3%)
i jus got done takin the math quiz on knowledgematters
10. A movie theater sells 3 different sizes of popcorn: small, medium, and large. An order of popcorn comes with 4 different topping choices: butter, cheese, caramel, or salt. [4 points] How many unique ways can you order a bag of popcorn? (You can only select one topping.) Ans:_ What is the probability that a randomly selected popcorn is large with either butter or salt?
Answer: 12
Step-by-step explanation:
The answer is 12 because:
sizes are 3
toppings are 4
Using the Fundamental Counting Principal you multiple the selections
( 3 x 4=12)
So just learn the fundamental counting principal and it'll be easier. :)
The number of unique ways that you can order a bag of popcorn if you can only select one topping is 12 ways.
How do solve probability combinations?Combinations in probability refer to sequences of outcomes where the order does not matter.
Combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! × (n - r)! where n represents the total number of items, and r represents the number of items being chosen at a time.
We are given the 3 different sizes of popcorn as;
Small
Medium
Large
Now, we are told that an order of popcorn comes with 4 different topping choices. Thus;
A number of unique ways that you can order a bag of popcorn are;
N = 3×4 = 12 unique ways
Read more about the probability combinations at; brainly.com/question/24756209
#SPJ2
Overnight, the temperature dropped 1.3 degrees every hour. How many hours did it take the temperature to drop 7.8 degrees?
Answer:
what was the temperature at first?
how many line of symmetry has a kite
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
find the 55th term of the arithmetic sequence 11,21,31,...
-7p = -3p - 8
p =
Help
Answer:
p=2
Step-by-step explanation:
-7p = -3p - 8
Add 3p to each side
-7p+3p = -3p+3p - 8
-4p = -8
Divide each side by -4
-4p/-4 = -8/-4
p = 2
Answer:
[tex] \huge{ \fbox{ \sf{p = 2}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: - 7p = - 3p - 8}}[/tex]
[tex] \underline{ \underline{ \mathfrak{Let's \: solve}}} : [/tex]
[tex] \text{Step \: 1} : \sf{Move \: 3p \: to \: left \: hand \: side \: and \: change \: it's \: sign}[/tex]
[tex] \mapsto{ \sf{ - 7p + 3p = - 8}}[/tex]
[tex] \text{Step \: 2} : \sf{Collect \: like \: terms}[/tex]
[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base}[/tex]
[tex] \mapsto{ \sf{ - 4p = - 8}}[/tex]
[tex] \text{Step \: 3} : \sf{Divide \: both \: sides \: by \: - 4}[/tex]
[tex] \mapsto{ \sf{ \frac{ - 4p}{ - 4} = \frac{ - 8}{ - 4}}} [/tex]
[tex] \text{Step \: 4} : \sf{Calculate}[/tex]
[tex] \mapsto{ \sf{p = 2}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
HELP ME PLZZ I DONT UNDERSTAND THIS!!!!!!
Answer:
1/2
Step-by-step explanation:
y = kx
where k is the constant of proportionality
y = 1/2 x so k= 1/2
Find the length of the segment connecting (8,10) and (9,3). Round your answer to the nearest tenth.
Hey there! I'm happy to help!
Here's how to find the distance between any two points.
Subtract the x values.
8-9=-1
Square it.
-1²=1
Subtract the y values.
10-3=7
Square it.
7²=49
Add the two numbers you got.
49+1=50
And find the square root.
√50≈7.1.
Have a wonderful day! :D
The sum of a Rational Number and an irrational number is rational true or false?
Answer: FALSE
Step-by-step explanation:
An Irrational number is a decimal t hat is non repeating while a rational number is s repeating decimal.
Answer:
False
Step-by-step explanation:
Because the sum of a rational Number and an irrarional number is still irrational.
A triangular window has area
24 square feet and height six feet.
What is its base?
work it out "the equation 1.5r + 15=2.25r represents the number r of movies u must rent to spend the same amount at each movie store. how many movies must u rent to spend the same amount at each movie store" then there's 2 pics one says "all rentals $1.50, membership fee $15" other says "membership free, all rentals $2.25"
Answer:
20
Step-by-step explanation:
Your equation is correct. To solve it subtract 1.5r from both sides and divide by the resulting coefficient of r.
15 = 0.75r
15/0.75 = r = 20
You must rent 20 movies for the costs to be the same.
What is this answer and work shown please 5/2x -3 =2
Answer:
x = 2
Step-by-step explanation:
Given
[tex]\frac{5}{2}[/tex] x - 3 = 2 ( add 3 to both sides )
[tex]\frac{5}{2}[/tex] x = 5 ( multiply both sides by 2 to clear the fraction )
5x = 10 ( divide both sides by 5 )
x = 2
Which revision changes the sentence from passive voice to active voice?
The new art gallery in our city was visited by several politicians and celebrities to raise money for charity.
OA. Visited by several politicians and celebrities, our city's new art gallery raised money for charity.
OB. The new art gallery in our city raised money for charity by the visits of several politicians and celebrities.
OC. To raise money for charity, the new art gallery in our city was visited by several politicians and celebrities.
OD. Several politicians and celebrities visited the new art gallery in our city to raise money for charity.
Answer:
They all have the passive word, "Visited," so that makes everything a bit more complicated. I can see why you asked the question. I'd go with C. Unless it's a trick question and you're supposed to see that or something.
2. Write the equation of the line that goes through (5, 4) and has a slope
NEEED HELLLPPPPP PLEASEEE
Option 2
Step-by-step explanation:
[tex](5,4) = (x_1,y_1) \\ m = \frac{4}{5} [/tex]
Substitute values into the point slope form
y-y1 =m(x-x1)
y- 4= 4/5(x-5)
y -4= 4/5x -4
y= 4/5 x -4+4
y= 4/5x
The Mp of coke is 20%more than its purchased price.if the coke was sold after 15%duscount,there will be gain of rs.40,find the M.p and Cp
Answer:
let cp be x
mp= x+ (20% 0f x)= 1.2x
sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x
profit = 40
sp-cp =40
1.02x-x=40
x=2000
cp =2000
mp= 1.2*2000=2400
Step-by-step explanation:
3: Mary has 26 sweets and is able to share them evenly between her friends.
Mary has more than 1 friend.
Write down how many friends Mary might have.
Answer:
Mary has 12 friends, and a total of 13 people including her. Or, she has 25 friends, and a total of 26 people including her.
Step-by-step explanation:
First, we know that 26 is divisible by 1, 2, 13, and 26 because (2x13) and (1x26) both equal 26 but we know that Mary has more than 1 friend and if Mary is also added to the group where the candy is divided, that means that 1 and 2 are both out because Mary has more than 1 friend so 1 cannot be the answer and if Mary has 2 friends, that means that the candy would have to be divided 3 ways which is not possible evenly so the answer is either 12 friends or 25 friends.
Algebraic equations with two or more operations can be solved by undoing them in reverse order of operations. True or false?
Answer:
false you would do it in order of operations
if it is 2:30 what time would it be 1 hour and 30 minutes
Answer:
4:00
Step-by-step explanation:
A hot-air balloon starts 6 feet above the ground and then rises 20 feet each minute.
What equation gives the height h in feet as a function of time t in minutes?
A. h=61
B. h=202
С. h = 204 + 6
D. h=6+ 20
At starting hot-air balloon starts 6 feet.
So, at t = 0 , h = 6 feet.
Now, distance travelled per minute is 20 feet.
So, extra distance travelled in t minutes is 20t feet.
Now,
Total height = Staring height + increase in height w.r.t time.
h = 6 + 20t
Therefore, the height h in feet as a function of time t in minutes is h = 6 + 20t .
Hence, this is the required solution.
1.BINOMIAL: A POLYMOMIAL WITH EXACTLY..................... TERMS
2. TRINOMIAL: A POLYMOMIAL WITH EXACTLY......................... TERMS
3. COEFFICIENT: A............. IN A TERM OF AN ALGEBRAIC EXPRESSION.
Solve using 2-step equations.
You work as a salesperson at Cutco, and earn only commission. You earn 30%
commission on everything you sell. Your bills this month are $1,800 and you
also want to put $500 into your savings.
How much do you need to sell at your job to make sure you can pay your
bills and still have enough to save?
Answer:
$7666.7
Step-by-step explanation:
1800 + 500 = 2300. That means that 30% = 2300. If u divide both sides by 3 then 10% = 766.67 times that by ten and then that will equal $7666.7
4^x+ 2^(1+2x)= 50
I know what the answer is (about 2.03), but I need help getting there!
Step-by-step explanation:
4ˣ + 2¹⁺²ˣ = 50
Rewrite 4 as a power of 2.
2²ˣ + 2¹⁺²ˣ = 50
Factor out 2²ˣ.
2²ˣ (1 + 2) = 50
2²ˣ = 50/3
Take log of both sides.
ln(2²ˣ) = ln(50/3)
Use exponent property.
2x ln 2 = ln(50/3)
Solve for x.
x = ln(50/3) / (2 ln 2)
Simplify.
x = ln(50/3) / (ln 4)
x ≈ 2.03
Need help don’t understand
Answer it is B
Step-by-step explanation:
Answer:
[tex] r^2 [/tex]
All choices are incorrect.
Step-by-step explanation:
Remember that [tex] r = r^1 [/tex].
Also remember the rule: [tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]
[tex] \dfrac{r^3}{r} = [/tex]
[tex] = \dfrac{r^3}{r^1} [/tex]
[tex] = r^{3 - 1} [/tex]
[tex] = r^2 [/tex]
Answer: [tex] r^2 [/tex]
All choices are incorrect.
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
A. 4×1+9×110+2×1100
B. 4×1+9×110+2×11,000
C. 4×10+9×110+2×1100
D. 4×10+9×1100+2×11,000
Answer:
(4* 1) + (9 * 1/10) + (2 * 1/1000)
Step-by-step explanation:
Given the figure : 4.902
Writw the figure above in expanded form:
4.902
Using the place value indicators :
Unit___tenth___hundredth___thousandth
4______9_______0___________2
Unit:
4 × 1
After the decimal point :
Tenth :
9 × 1/10 =
Hundredth :
0 * 1/ 100
Thousandth:
2 * 1/1000
Hence :
(4* 1) + (9 * 1/10) + 0 + (2 * 1/1000)
Answer: B
Step-by-step explanation:
4x1+9x1/10+2x1/1000
Can you answer this?
Evaluate the expression.
10x - 3x2 when x = 2
Answer:
8
Step-by-step explanation:
Answer:8 or -16
Step-by-step explanation:
a) If you mean 10x - 3(x²) when x=2
10(2)- 3(2²)= 20-12=8
b) If you meant 10x - 3x²=
10(2)-(3 x 2)²= 20-6²
20-36=-16
please help!! (click on pic)
Answer:
1/2x³y^6
Step-by-step explanation:
Mary and her band are performing a concert. They need to make $1,963.50 to cover their travel, lodging, and meal costs. If they charge $8.50 for each ticket, how many tickets do they need to sell to cover their costs?
Answer:
231
Step-by-step explanation:
I got the answer right
Plot the image of point Q under a reflection across the -axis.
please help, I don’t know this question!
Answer:
pit it on -4 because your reflecting it on x