Answer:
probably 200
Step-by-step explanation:
or something like that
Examine the equation and solution method shown below. Indentify the error and then solve the equation using a valid solution method.
1. Find and explain the error in the solution method.
2. Solve the equation 3(3x+6+x)=1 using a valid solution method.
3. Explain each step in your solution method. Why is your method valid?
Pls Help. 100 points
3 ( 3x + 6 + x ) = 1
Step 1, apply distributive method.
9x + 18 + 3x = 1
Step 2, simplify the following
12x + 18 = 1
Step 3, Change side
12x = -17
Final answer
x = -17/12
The error/mistake was in step 2 where [ 9x +3x = 12x ]
Recheck the answer
3 ( 3x + 6 + x ) = 1
3 ( 3(-17/12) + 6 + -17/12 ) = 1
1 = 1
Hence proved our solution is correct.
Answer:
Question 1
The error is in step 2. They have subtracted [tex]3x[/tex] from the left side of the equation, yet only subtracted 3 from the right side.
Questions 2 & 3
Solve:
[tex]3(3x + 6 + x) = 1[/tex]
Apply the distributive law [tex]a(b + c) = ab + ac[/tex] :
[tex]\implies 9x + 18 + 3x = 1[/tex]
Collect and combine like terms:
[tex]\implies 9x + 3x+ 18 = 1[/tex]
[tex]\implies 12x + 18 = 1[/tex]
Subtract 18 from both sides:
[tex]\implies 12x + 18 - 18 = 1 - 18[/tex]
[tex]\implies 12x = -17[/tex]
Divide both sides by 12:
[tex]\implies \dfrac{12x}{12}=-\dfrac{17}{12}[/tex]
[tex]\implies x=-\dfrac{17}{12}[/tex]
Complete the sentence with the correct word in
parentheses.
1- My friend's children have no
(manners / impression). When we were at a restaurant last
night, they were running around the restaurant and talking
loudly.
2- It was hard for Laxmi to make eye contact with his boss,
because in his country that does not show
(gesture / respect).
3- In the experiment, the researchers studied the
(behavior / activity) of the
children as they interacted with adults.
4- I try to
(interrupt / avoid) going
outside when it's very cold.
Answer:
1- manners
2-respect
3-behaviour
4-avoid
Answer:
1- manners
2- respect
3- behavior
4- avoid
What's the circumference of a circle with a diameter of 7 feet Use 3.14 for pi.
Answer:
21.98
Step-by-step explanation:
Formula for Circumference of a Circle:
C=2πr
1. We find r, which is basically the diameter divided by 2, aka half of the diameter:
d/2 = r
Fill in:
7/2 = r
r = 3.5
2. We fill in the Formula:
C = 2πr
C = 2(3.14)(3.5)
3. Multiply it all
3.14 x 3.5 = 10.99
10.99 x 2 = 21.98
Hence, the circumference of the circle is 21.98.
choco chip cookies cost $3.20 for the 15oz size . The 18oz size $3.75 Which is the better buy
Answer:
18 oz
Step-by-step explanation:
Choco Chip Cookies (15 oz): [tex]\frac{\$3.20}{15oz}=\frac{\$0.213}{oz}[/tex]
Choco Chip Cookies (18 oz): [tex]\frac{\$3.75}{18oz}=\frac{\$0.208}{oz}[/tex]
So, the 18oz package is the better buy by about [tex]\$0.005[/tex]
Landon is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and spins a spinner with three equal-sized sections labeled Walk, Run, Stop?
The total number of ways this can be done is 144 ways
How to determine the number of outcomesGenerally, the total outcomes that are there when n objects are spinned is expressed as n!
n! = n(n-1)(n-2)!
If he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and three equal-sized sections labeled Walk, Run, Stop, the total outcome is expressed as:
Total outcome = 4! * 3!
Total outcome = 24*6
Total outcome = 144 ways
Hence the total number of ways this can be done is 144 ways
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can you write 2 expressions that will simplify to 6x-4y
Hello, the answer to your question is "Sure!"
These are the expressions:
12x-6x-9y+5y
Combine Like Terms:
6x-4y
Bingo! Now, one more:
Hmmm, let me think...
-18x+24x+16y-20y
Combine Like Terms:
6x-4y
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Easy math 3 pictures
Answer:
1. 52yard²
2. $54
3. 30.5
Step-by-step explanation:
1. area of square shape = lenght x breadth
= 4 * 4
= 16
area of rectangle shape = lenght x breadth
= 9 * 4 = 36
tatal area = 16 + 36
= 52yard²
2. let the cost = c
thus 9% * c = 4.86
c = 4.86 * 90%
c = $54
3.area of length traingle=1\2 *base * height
= 1\2 * 3 * 7
= 10.5
area of right quadrilateral= legnth*bredth
= 4 * 3
= 12
area of right traingle = 1\2 * base * height
= 1\2 * 4 * 4
= 8
total area of shape = 10.5+12+8
= 30.5
DO MARK BRAINLIEST
Answer:52 54 30.5
Step-by-step explanation:
help please
1.) Write in words the decimal 123.0047.
Write in fractional notation and simplify.
2.) 0.91 3.) 2.769
Write in decimal notation.
4.) 74 over 1000 5.) 37047 over 10000 6.) 756 9 over 100
Which decimal number is greater?
7.) 0.07 or 0.162 8.) 8.049 or 8.0094
Round the next decimal number, 5.6783, to the indicated decimal place.
9.) To the Unit 10.) To the Thousandth 11.) To the Tenth
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Step-by-step explanation:
by using formula a+b+c=180
12x12x77-38x 25 answer pls
Answer:
10138 is the answer to 12x12x77-38x 25
Step-by-step explanation:
I added these step by step 12x12 = 144 x 77 = 11088 -38x 25 10138
A culture started with 3000 becteria. after 8 hours it grew to 3300 becteria. Predict how many bacteria will be present after 12 hours. Round your answer to the nearest whole number. p=ae^kt
Answer: I think 5000
Step-by-step explanation:
I’m probably completely wrong lol sorry
Help!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
53
Step-by-step explanation:
[tex] \frac{sin(56)}{78.6} = \frac{sin(90)}{ab} \\ \\ absin(56) = sin(90) \times 78.6 \\ \\ ab = \frac{sin(90) \times 78.6}{sin(56)} \\ ab = 94.8 \\ \\ {x}^{2} + {78.6}^{2} = {94.8}^{2} \\ {x}^{2} = {94.8}^{2} - {78.6}^{2} \\ {x}^{2} = 8987.04 - 6177.96 \\ {x}^{2} = 2809.08 \\ x = \sqrt{2809.08} \\ x = 53[/tex]
[tex] \rm \frac{ {10}^5 }{ {e}^{ \sqrt{e} } } \left( \int^{1}_0 {e}^{ \sqrt[]{ {e}^{x} } } \: dx + 2 \int_{e}^{ {e}^{ \sqrt{e} } } ln( ln(x) ) \: dx\right) \\ [/tex]
In the first integral, substitute [tex]x \to e^{\sqrt{e^x}}[/tex]:
[tex]\displaystyle I = \int_0^1 e^{\sqrt{e^x}} \, dx = 2 \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]
In the second integral, integrate by parts:
[tex]\displaystyle J = \int_e^{e^{\sqrt e}} \ln(\ln(x)) \, dx = \dfrac12 e^{\sqrt e} - \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]
It follows that
[tex]\dfrac{10^5}{e^{\sqrt e}}(I+2J) = \dfrac{10^5}{e^{\sqrt e}} \times e^{\sqrt e} = \boxed{10^5}[/tex]
(a) A color page prints 20 pages in 7 minutes. How many pages does it print per minute?
(b) it takes 55 pounds of seed to completely plant a 7- acre field. How many acres can be planted per pound of seed?
If needed round to nearest hundredth.
Answer:
A. 20 / 7 = 3 (or 2.85)
B. 55 / 7 = 8 (or 7.85)
Brainliest is appreciated!
_ daintysword.mp4
Answer:
A.3
B.8
Step-by-step explanation:
this is the answer
PLEASE HELP! Match the steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12.
Answer:
3,2,1,6,5,4
Step-by-step explanation:
Hope this helps!!!
All the correct steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12 are,
1. 2p + (- 8) = - 12 Find p
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
Given that,
In a parabola,
Focus = (-1 , - 8)
And, Directrix =; y = - 12
The standard equation of a parabola is,
[tex]y = - p (x - h)^2 + k[/tex]
Where, (h, k) is the vertex of the parabola.
Now, the Statement with reason to find the equation of a parabola is,
Statement Reason
1. 2p + (- 8) = - 12 Find p
p = - 2
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
y = - 10
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
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The movie theater sold 50 buckets of popcorn last Wednesday. 60 people watched movies that day, and 40 of those people ate popcorn. Do you see a fraction that you could use to create a division problem?
Answer:
70
Step-by-step explanation:
60/40Ⅹ50=70
I hope this helps
proof for the extreme value theorem
if an item regularly cost d dollars and is discounted 12 percent, which of the following represents the discounted price?
If an item usually costs d dollars a 12% discount can be represented as 0.88d.
What is a discount?This refers to a deduction in the regular price of a product or service that is usually represented using a percentage.
How can the discounted price be represented?Considering 12% is being deducted from 100% (100-12 = 88). The final price can be represented as 0.88d or 0.88 multiplied by the regular price (d).
For example, if the regular price is $100, 0.88 x 100 = $88.
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CAN SOMEBODY HELP ME SOLVE THIS EQUATION
Darya is a real estate broker with a house listing. She estimates that this listing will cost her $2300 for various expenses. If Darya sells the house within 6 months, she will receive a commission of $20,000. If it takes longer than 6 months, the listing will expire, and she'll lose the $2300 she spent on expenses. She estimates the probability that she'll sell the house within 6 months is 80%. Determine Darya's expectation for this listing.
Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, considering the situation described in the text, the distribution is given by:
P(X = 17,700) = 0.8.P(X = -2,300) = 0.2.Hence, her expectation is given by:
E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.
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Martina is ordering an ice cream dessert. She must order a size and a flavor of ice cream. There are 4 sizes and 2 flavors to choose from. How many different
cream desserts could she order?
Answer: 8.
Step-by-step explanation: There are 4 sizes, so let's say that the sizes are small, medium, large, and extra large. There are 2 flavors, so let's say that the flavors are chocolate and vanilla. The possible combinations are below:
Small chocolateMedium chocolateLarge chocolateExtra large chocolateSmall vanillaMedium vanillaLarge vanillaExtra large vanillaAs you can see, there are 8 possible combinations that she can choose from as far as 4 sizes and 2 flavors go.
Have a great day! :)
two-digit natural numbers are formed, with replacement, from 0 through 9. how many two-digit odd numbers are possible?
Let's solve this step by step:
The first digit has 9 choices --> 1 through 9The second digit has 10 choices --> 0 through 9*the first digit cannot have '0' as its first digit since it would make the
number one-digit
Total Choice: 9 choices * 10 choices = 90 choices
Hope that helps!
What expression is equivalent to 12x^4/4x^16 helpppp
Answer: 48x/64
Work (assuming ^ is multiplication):
12x^4/4x^16
12x ^ 4x = 48x
4 ^ 16 = 64
A bedroom door in the house has the same dimension as the front door but the length is 30 inches rather than 36 inches how much greater is the volume of the front door than than the bedroom door
Answer:
6/5
Step-by-step explanation:
Calculate the volume by multiplying the measured length and width of the space together, then multiply the result by the height of the room. From the example, 10 * 25 feet = 250 square feet, and 5 * 10 feet = 50 square feet.
Simplify and write the trigonometric expression without any fractions: tan(u)+cot(u)
Answer:
[tex]\csc(u).sec(u)[/tex]
Step-by-step explanation:
[tex] \tan(u)+ \cot(u) \\ \\ = \frac{ \sin(u)}{ \cos(u)} + \frac{ \cos(u)}{ \sin(u)} \\ \\ = \frac{ { \sin}^{2} (u) + {\cos}^{2} (u)}{ \sin(u). \cos(u)} \\ \\ = \frac{1}{ \sin(u). \cos(u)} \\ ( \because \: { \sin}^{2} ( \theta) + {\cos}^{2} ( \theta) = 1) \\ \\ = \frac{1}{\sin(u)} \times \frac{1}{\cos(u)} \\ \\ = \csc(u).sec(u) \\ \\ \implies \: \purple{ \bold{ \tan(u)+ \cot(u) = \csc(u).sec(u)}}[/tex]
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
(Sin²u + Cos²u) = 1
The final expression of the trigonometric expression tan(u) + cot(u) is
Cosec(u) x Sec(u)
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Tan (u) + Cot (u)
We know that,
Tan x = sin x / cos x
Cot x = cos x / sin x
Now,
Tan (u) + Cot (u)
= {Sin (u) / Cos (u) + Cos (u)}/ Sin (u)
Simplify by forming into a fraction.
= (Sin²u + Cos²u) / Sin(u)Cos(u)
[ sin² + cos² = 1 ]
So,
(Sin²u + Cos²u) = 1
= 1 / Sin(u)Cos(u)
= 1/Sin(u) x 1/Cos(u)
= Cosec(u) x Sec(u)
Thus,
The final expression of the trigonometric expression tan(u) + cot(u) is
Cosec(u) x Sec(u)
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what is 3.1 converted into a simplified fraction?
Answer:
31/10
Step-by-step explanation:
What is the sum of the interior angles of a regular polygon with 7 sides
Answer:
the answer is 900 degrees
Step-by-step explanation:
brainliest?
Answer:
900°
Step-by-step explanation:
sum of interior angles of n sides polygon=(n-2)×180
n=7
Hence sum of interior angles of 7 sided polygon=(7-2)×180
=5×180
=900°
A laptop computer is purchased for $2350. After each year, the resale value decreases by 35% . What will the resale value be after 4 years?
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &2350\\ r=rate\to 35\%\to \frac{35}{100}\dotfill &0.35\\ t=years\dotfill &4\\ \end{cases} \\\\\\ A=2350(1 - 0.035)^{4}\implies A=2350(0.965)^4\implies A\approx 2037.87[/tex]
A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $4 for children. The total cost for the movie is $85. Enter an equation to find the number of adults in the group. The equation + a = can help find out how many adults were in the group.
Answer:
There is 8 adults and 1 child
Step-by-step explanation:
$78 - $6 = $72
$72 divided by 9 = 8
you would add nine 8 times and add 6 to it then it would be $78
Hope this helps you! :)
2. A student wanted to find the height h of a statue of a pineapple
in Nambour, Australia. She measured the pineapple's shadow
and her own shadow. The student's height is 5 feet 4 inches.
What is the height of the pineapple?
Using proportions, it is found that the height of the pineapple is of 280 inches = 23 ft 4 in.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering that a feet has 12 inches, the measures in inches, and applying the similarity of triangles, the proportions are as follows:
[tex]\frac{h}{64} = \frac{105}{24}[/tex]
Applying cross multiplication:
24h = 64 x 105
h = 64 x 105/24
h = 280
The height of the pineapple is of 280 inches = 23 ft 4 in.
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