Clarence solved the equation 3x + 15 = 33 and showed the following work. 3x + 15 = 33 3x + 15 - 15 = 33 3x = 33 = x = 11 Which of the following is true? x is 11. x should be 6. x should be 16. x should be 99.

Answers

Answer 1
3x + 15 = 33
3x = 33 - 15
3x = 18
x = 18/3
x = 6 <==
Answer 2

Answer:

x=6

Step-by-step explanation:


Related Questions

DIVIDING ALGEBRAIC FRACTIONS HELPP!!!!

8/9-a^2 divided by 4a^2-4a-24/a^2-6a+9

Answers

The answer is -2/(a+3)(a+2).

-8/(a-3)(a+3) • (a-3)(a-3)/4(a-3)(a+2)

Erica has a box with 10 pencils in it. she wants to give 0.3 Of the pencils in the box to her sister. which model represents the number of pencils Erica have to her sister

Answers

I believe you would subtract 10-0.3=9.7 not sure if this is right but hope it helps

3 inches is what fraction of a foot

Answers

A foot is 12 inches. So 12/3 is 4. Simple and fast.
Final answer:

In the context of measurements, 3 inches is equivalent to 1/4 or 0.25 of a foot because 1 foot is composed of 12 inches.

Explanation:

The student is asking about the fraction that represents 3 inches in relation to a foot. In order to answer this, we need to know that 1 foot equals 12 inches. Therefore, we can represent 3 inches as a fraction of a foot by dividing 3 (the number of inches) by 12 (the number of inches in a foot). So, 3 inches is 1/4 or 0.25 of a foot.

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what is the cube root of 4096

Answers

The cube root is 16. Often times, teachers just let you use calculators on these questions.
The answer of cube root of 4096 is 16.

what is 10 1/3 as a improper fraction and show your if you can.

Answers

1. Multiply 10 and 3 and add 1.

10(3)= 30+1= 31

2. Put the 31 over 3.

31/3

The improper fraction of 10 1/3 is 31/3.

Hope this helps!

Given a sphere with volume V, the formula 

r = 0.62V

1

3

 may be used to approximate the sphere's 

radius r.

 Find the approximate radius of a sphere that has a volume of 

512 in3.


 
The approximate radius of a sphere that has a radius of 

512 in3

 is ___ in

Answers

Plugging 512 into the equation, we get r=0.62(512)=317.44

Solving for V, we divide 0.62 from both sides, getting r/0.62=512/0.62=around 825.8

What is the least common multiple of 27,48, and 66

Answers

Hello, there! 

The LCM would most likely be: [tex]4.752 [/tex]

So, go through all of your factors to find your [tex]answer[/tex] of those [tex]numbers [/tex]

[tex]MeIsKaitlyn:)[/tex]

                                            ~

At 12:30 pm on august 2, the surface receives 789 wm−2 and reflects 110 wm−2. what is the surface albedo?

Answers

Albedo is the fraction of light that is reflected by a surface. Normally we use the term albedo to describe how reflective a planet or moon is. The albedo is on a scale from 0 to 1 with no units. An albedo of 0 means total absorption. An albedo of 1 means total reflection. To find the albedo, we divide the amount reflected by the total amount received. albedo = amount reflected / amount received albedo = 110 wm-2 / 789 wm-2 albedo = 0.139 The surface albedo is 0.139

It takes joey 1/16 of an hour to write one thank you note. How many cards can he write in 3/4 of an hour

Answers

divide 3/4 by 1/16

3/4 / 1/16 =

3/4 * 16/1 =

48/4 = 12

he can write 12

Cal has a sports trading card collection with 30 baseball cards, 25 basketball cards, and 45 football cards. What percent of his cards are basketball cards?

Answers

total cards = 30 + 25 + 45 = 100

25 are basket ball

25/100 = 0.25

0.25 = 25%

 25% are basketball

Answer:

25%

Step-by-step explanation:

Drag the correct tiles that match.?

Answers

<DFA and 58* because 180-122= 58 i got 122 because we know that <A is 114 so you subtract 114 from 180 and get 66. 66 degrees is the interior angle in the right corner of the triangle. Then you look to the left and see that it says 124 so you subtract that from 180 and get 56. We know that all triangles have 180 degrees on the inside so you add 56 and 66 to get 122 and subtract that from 180 to get the missing angle.



What is the equation of the following graph in vertex form?

Answers

y=(x+1)^2

Vertex form is the same as standard form or y=a(x-h)^2+k where h and k are the x and y values of the vertex. a stretches or compressed the graph. In this case, a = 1
y  = a (x + 1)^2    where a is some constant 

Substitute  for the point (0.1):-

1  = a * 1^2

so  a = 1


Answer is  y = (x + 1)^2


chose the graph that represents the equation y=|x-4|

Answers

You have not shared the graphs from which you have to choose your answer.

Why not graph y=|x-4| yourself, to help you choose the correct answer?

First, graph y=|x|.  It looks like a "v" opening up, with the vertex at (0,0).
Next, move the whole "v" graph 4 units to the right.  

Compare your result to the given answer choices.

Answer:

V shape.

Vertex at (4,0)

Intersect with y axis at (0,4)

Step-by-step explanation:

In order to solve this you just ahve to search fo the graph that grows like a V because when you deal with functions that have absolute values you can have negative and positive values for the independent variable but not for the dependent, in this case x is the independent so x will have negative and positive values while Y will only grow in the postives, now the vertex of the function is found where Y=0 so to calculate that you equal the function to 0

y=|x-4|

0=|x-4|

x=4

So the vertex will be at (4,0) and the intersect with the y axis will be located where x=0, so you evaluate the function for 0:

y=|x-4|

y=|o-4|

y=|-4|

y=4

So the intersect with the y axis will be at (0,4).

6 divided by 1/3 equals

Answers

6 divided by 1/3 equals 6 times 3

6*3 = 18

Hello!

First, let's write the problem.
[tex]\frac{6}{\frac{1}{3}}[/tex]
In this case, we multiply outer numbers by outer numbers and inner numbers by inner numbers.
[tex]=\frac{3\cdot \:6}{1}[/tex]
Simplify the numerator.
[tex]=\frac{18}{1}[/tex]

Our final answer would be,
[tex]=18[/tex]

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

ABC Office Supply offers an electric typewriter for $129.95. If ABC received a 15% markup on cost by selling the typewriter at this price, what was the cost of the typewriter to ABC?

Answers

A 15% percent markup means that the typewriter cost was increased by 15%, or 0.15 by moving the decimal 2 places to the left. If the original price was x, and 15% of it is 0.15*x, we can add them up to get 1.15*x=129.95. Dividing both sides by 1.15, we get x=113 dollars
Sale price=129.95
Mark up=15%
x=at cost price to ABC
Set up proportion:
129.95 x
--------- = ---------- (Got 1 from 100% which is the cost to ABC and 1.15 from 100%
1.15 1 +15% which is the cost to customer then changed to
decimal form.) Cross multiply
129.95=1.15x
129.95/1.15=1.15x/1.15
113=x
Cost to ABC is $113

Amy is just learning how to rock climb. Her instructor takes her to a 26 ft climbing wall for her first time. She climbs up 5 ft in 2 min. But then slips back 2 ft in 10 sec. This pattern (up 5 feet down 2 ft) continues until she reaches the top. How long will it take her to reach the very top?

Answers

Let's compute the speeds as she goes up and down of the climbing wall. Speed is the ratio of distance to time.

Speed going up = 5 ft/(2min * 60 s/1 min) = 1/24 ft/s
Speed going down = 2 ft/10 s = 0.2 ft/s
Net speed = 1/24 ft/s - 0.2 ft/s = 5/24 ft/s

Using this net speed, we can already calculate for the total time:

Speed = Distance/Time
5/24 ft/s = 26 ft/Time
Time = 124.8 seconds or 2.08 minutes

Final answer:

Amy needs to cover 23 feet through 7 full cycles of climbing and slipping, followed by a final climb of 5 feet without slipping. It takes her 15.17 minutes for the cycles and an additional 2 minutes for the final climb, summing up to a total of 17.17 minutes to reach the top.

Explanation:

Amy is learning how to rock climb and faces a challenge of climbing a 26 ft wall by moving up 5 ft in 2 minutes, then slipping back 2 ft in 10 seconds. To calculate the total time it will take her to reach the top, we can start by finding the net distance she covers in each cycle of climbing and slipping.

During each cycle, Amy climbs 5 ft but then slips back 2 ft, making her net gain per cycle 3 ft (5 ft up - 2 ft back). To reach the top of the 26 ft wall, she doesn't slip back after the final climb, so the last part of the climb she only needs to cover the distance that takes her to 26 ft without slipping back.

Let's consider the entire climb except the final push to the top:

Total distance to cover without the last climb: 26 ft - 3 ft = 23 ft.

Number of full cycles to cover 23 ft: 23 ft / 3 ft per cycle = 7.67 cycles. Since she can't do a partial cycle, we round down to 7 full cycles, covering 21 ft (7 cycles * 3 ft/cycle).

Remaining distance after 7 cycles: 26 ft - 21 ft = 5 ft, which she covers in her last climb.

Each cycle takes 2 minutes and 10 seconds (2 minutes for climbing up 5 feet and 10 seconds for slipping back 2 feet). Since 10 seconds is 1/6 of a minute, each cycle takes 2 + (1/6) = 2.167 minutes. For 7 cycles, the time is 7 cycles * 2.167 minutes/cycle = 15.17 minutes. The final climb of 5 ft takes an additional 2 minutes, resulting in a total time of 17.17 minutes to reach the top.

Write an expression, that when using the Distributive Property, can be simplified to 12a + 18b - 6c.

Answers

Factor 12a + 18b - 6c
Find a number that will go into all evenly. 6 will go into all of them evenly 

[tex]\frac{12a + 18b - 6c}{6}[/tex]
6(2a + 3b - c)

If The sum of three consecutive even integers is 162, what is the first of the three even integers?
Your hint if x and x +2 represent the first two consecutive even integers, then how would the third consecutive even Integer be represented

Answers

Let x=1st even number
(x+2)=2nd even number
(x+4)=3rd even number

x+(x+2)+(x+4)=162
3x+6=162
3x+6-6=162-6
3x=156
3x/3=156/3
x=52 then x+2=52+2=54 and x+4=52+4=56
52+54+56=162

52,54,56

One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a cannon, her distances measured 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters. What was the total distance Gabriella flew that day?

Answers

Answer: 59.49 meters
In this case, Gabriella flew 4 times with different distance. To answer this question you just need to add all the distance, The calculation would be:

Total distance = distance 1 + distance 2 + distance 3 + distance 4
Total distance = 8.05 meters+ 17.71 meters + 14.38 meters + 19.35 meters= 59.49 meters.

The total distance Gabriella flew that day with distances measuring 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters is,

⇒ 51.44 meters

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that,

On Saturday she performed in four shows.

Shot from a cannon, her distances measured 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters.

Now, To find the total distance Gabriella flew that day with distances measuring 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters we can add all the distances,

⇒ 8.05 m + 17.71 m + 14.38 m + 19.35 m

⇒ 51.44 meters

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Estimate the value of 9.9 squared x 1.79

Answers

The estimation of 9.9 squared multiplied by 1.79 is 180.

To estimate the value of 9.9 squared multiplied by 1.79, use rounded numbers to simplify the calculation.

First, round 9.9 to 10 and calculate 10 squared, which is 100.

Next, we round 1.79 to 1.8.

Now, we can perform the multiplication:

100 x 1.8 = 180

Therefore, an estimation is 180.

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The value of 9.9 Squared x 1.79 is 175.59

Let's  calculate

[tex]9.9^{2}[/tex]×1.79 let's break it down step by step:

[tex]9.9^{2}[/tex] means 9.9 [tex]\times[/tex] 9.9 multiplied by itself:

9.9×9.9, which equals 98.01

Now, multiply

98.01 × 1.79 = 175.5879

Rounded to a reasonable precision, the value is approximately

175.59

The process involves squaring

9.9 first and then multiplying the result by

[tex]1.79.9.9^{2}[/tex] gives us 98.01 and then that result is multiplied by

1.79 to obtain 175.59.

The explanation illustrates the order of operations: performing the exponentiation before the multiplication. This follows the basic principles of arithmetic, ensuring each step is carried out accurately to arrive at the final result.

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What is the value of x in the equation 3x – y = 18, when y = 27?
a.5
b.7
c.45
d.63

Answers

none of the above answers are correct, the correct answer would be 15

Answer:

5

Step-by-step explanation:


If the probability that the Cavaliers will win the NBA championship this year is 7/11, what are the odds that the Cavaliers will lose the NBA championship?

Answers

All probability chances equal 1.

So, subtract 1 and 7/11 to get your answer

The answer is 4/11.

Hope this helped!

Answer:

4 out of eleven

Step-by-step explanation:

WORLD'S HARDEST MATH QUESTIONS

Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before. How many rabbits were there after x years? Write a function to represent this scenario.

Answers

ok, so in year 0, the number of rabbits is 6 which is 6*(4)^0

in year 1, the number of rabbits is 4*6 which is 6*(4)^1

in year 2, the number of rabbits is (4*6) from year one multiplyed by 4, so a total of rabbits is 4*6*4 which is 6*(4)^2

in year 3, the number of rabbits is 6*(4)^2 from year two multiplyed by 4, so a total of rabbits is 4*6*4*4 which is 6*(4)^3

The sequence will continue in the same way.
Therefore, for year x:
f(x) = 6 * (4)^x which is choice A
Answer A Is correct Because it is the right answer I got it right on my quiz

In a recent survey 7 out of 10 people prefer coffee in the morning the rest said they prefer tea if 27 people said they prefer tea how many people were interviewed

Answers

To find the answer to this equation, use the result of "27 people" who prefer tea. This is equivalent to 3 out of 10 people in the whole survey sample. Using equivalent fractions to find the total sample, we see that "3/10 = 27/x." Multiplying 3 by 9 gives 27, so multiplying 10 by 9 gives a total sample size of 90 people.

A total of 90 people were interviewed in the survey, which was determined by setting up a proportion based on the information that 7 out of 10 people prefer coffee and the remaining prefer tea, with 27 people preferring tea.

To solve the problem, we need to determine the total number of people surveyed based on the information given about their preferences for coffee and tea in the morning.

According to the survey, 7 out of 10 people prefer coffee. The rest, which is 3 out of 10, prefer tea. We are told that 27 people prefer tea. To find the total number of people surveyed, we set up a proportion where 3 people out of 10 is equivalent to 27 people out of the total number of people interviewed:

Let x represent the total number of people interviewed.Set up the ratio: 3/10 = 27/x.Cross multiply to solve for x: 3x = 270.Divide both sides by 3 to find x: x = 90.

So, a total of 90 people were interviewed.

multiply 5 × 381 using place value and expanded form

Answers

5 ones x 3 hundred and 8 eighty 1 one

The sum of two consecutive integers is −225. Find the two integers

Answers

Since the two integers are consecutive, we can let the first be x and the second be x+1.  Then [x] + [x+1] = -225.  Simplifying, 2x + 1 = -225, or
2x = -226.  Thus, x = -113 and x+1 = -113+1 + -112.

The two consecutive integers are -112 and -113.  Adding these together results in -225, as we had hoped.

will give BRAINEST
Use the elimination method to solve the system of equations. Choose the correct ordered pair.

x + y = 8
x – y = 6

Answers

Answer: (7, 1)

Explanation:
Test all the ordered pairs in the equations. The one that fits in both is the answer.

(9, 3)
9 + 3 = 8    12 ≠ 8 no
9 - 3 = 6     6 = 6 yes


(6, 0)
6 + 0 = 8    6 ≠ 8 no
6 - 0 = 6     6 = 6 yes


(8, 2)
8 + 2 = 8    10 ≠ 8 no
8 - 2 = 6      6 = 6  yes

(7, 1)
7 + 1 = 8    8 = 8 yes
7 - 1 = 6     6 = 6 yes

If a person starts investing $100 per month starting at age 21, and that money earns a 7% return every year, how much will this person have when turning 70 years old? For ease of calculation, assume starting balance of $0 and annual contributions of $1,200 (12*$100

Answers

The formula of the future value of an annuity ordinary is
Fv=pmt [((1+r)^(n)-1)÷r]
Fv future value?
PMT yearly payment 1200
R interest rate 0.07
N time 49 years (70-21)

Fv=1,200×(((1+0.07)^(49)−1)÷(0.07))
Fv=454,798.80

Hope it helps!

The amount of money the person will have is [tex]\fbox{\begin\\\ \bf \$454,800\\\end{minispace}}[/tex].

Further explanation:

In the question it is given that the amount of money invested per month is [tex]\$100[/tex].

So, the total amount of money invested in [tex]1[/tex] year or [tex]12[/tex] months is calculated as follows:

[tex]\fbox{\begin\\\ 100\times 12=1200\\\end{minispace}}[/tex]

This implies that the total amount of money invested in [tex]1[/tex] year is [tex]\$1200[/tex].

Amount of money invested grows at a rate of [tex]7\%[/tex] per year.

A person started investing the money at an age of [tex]21[/tex] years and decided to withdraw the money at the age of [tex]70[/tex] years.

So, the total time for which the money was invested is calculated as follows:

[tex]\fbox{\begin\\\ 70-21=49\\\end{minispace}}[/tex]

The formula to obtain the future value of the invested money is as follows:

[tex]\fbox{\begin\\\ FV=PV\left[\dfrac{(1+r)^{t}-1}{r}\right]\\\end{minispace}}[/tex]

Substitute [tex]1200[/tex] for [tex]PV[/tex], [tex]0.07[/tex] for [tex]r[/tex] and [tex]49[/tex] for [tex]t[/tex] in the above equation.

[tex]\begin{aligned}FV&=1200\left[\dfrac{(1+0.07)^{49}-1}{0.07}\right]\\&=1200\left[\dfrac{(1.07)^{49}-1}{0.07}\right]\\&=1200\left[\dfrac{26.53}{0.07}\right]\\&=1200\times379\\&=454800\end{aligned}[/tex]

Therefore, the future value of the invested money is [tex]\$454,800[/tex].

Thus, the amount of money the person will have is [tex]\fbox{\begin\\\ \bf \$454,800\\\end{minispace}}[/tex].

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Answer details:

Grade: College

Subject: Mathematics

Topic: Time value of money

Keywords: Future value, present value, interest, time period, investment, money, 7 percent, $100, amount, invested money, formula.

The Nygen family wants to put a circular fence around their pool. They want it to be exactly 11 feet from the center of the pool. How many feet of fencing do they need to buy?

Answers

We can find this out by using the parameter equation for a circle
r = radius = 11
[tex]p = 2\pi r[/tex]
[tex]p = 2\times\pi\times 11[/tex]
 p = 69.115 
If we round 
 p = 69.12



Suppose you want to cut 1515 identical boards of length 33 feet. the procedure is to measure and cut the first​ board, then use the first board to measure and cut the second​ board, then use the second board to measure and cut the third​ board, and so on. answer parts a and
b.
a. what are the possible lengths of the 1515th board​ if, each time you cut a​ board, there is a maximum error of plus or minus±one third 1 3 ​inch? the board could be as short as nothing inches or as long as nothing inches. ​(simplify your answer. type integers or decimals rounded to the nearest hundredth as​ needed.)

Answers

Final answer:

The lengths of the 1515th board could range from 32.51 feet to 33.49 feet, considering the maximum measurement error of plus or minus one third inch per cut.

Explanation:

To find the possible lengths of the 1515th board, we need to consider the maximum error in each board measurement. Each time a board is cut, there is a maximum error of plus or minus one third inch. So, the 1515th board could be as short as 33 feet minus 1515 multiplied by one third inch, and as long as 33 feet plus 1515 multiplied by one third inch. Simplifying this, the 1515th board could be as short as 32.51 feet and as long as 33.49 feet.

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