The equation representing the sentence 3 less than a number is 14 is
(n-3) = 14
What is an equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a statement, 3 less than a number is 14
In mathematical form, this will be expressed as,
n - 3 = 14
Hence, equation representing the sentence 3 less than a number is 14 is
(n-3) = 14
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The algebraic equation (n-3) = 14 represents the sentence " 3 less than a number is 14" and the solution of the equation is the value of variable n is 17.
What is Algebra?Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.
The given statement is "3 less than a number is 14"
According to the given question, translate the phrase into an algebraic form :
⇒ (n-3) = 14
Thus, the algebraic equation n - 5 = 12 represents the sentence " 3 less than a number is 14"
Now the above equation solves for variable n,
⇒ n - 3 = 14
Add 3 to both sides of the above equation,
⇒ n = 14 + 3
⇒ n = 17
Therefore, the algebraic equation (n-3) = 14 represents the sentence " 3 less than a number is 14" and the solution of the equation is the value of variable n is 17.
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Mrs. Thomas is designing a rectangular pool for her backyard. The width of the pool is 7
feet shorter than twice its length. The perimeter of the pool is 75 feet. Write the equation to
represent the length of the pool
(1 Point)
Answer:
For the first one , the answer is 15 , the equation is 75=2f+2(2f-7.5)
For the Callie question , the answer is 20 , the equation is 110=2f+2(2f-5)
The third answer is 23 and the equation is 144=2(2w+3)+2w
Step-by-step explanation:
The length of the pool is 15 feet and the width is 23 feet.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
Let L be the length of the pool.
According to the given information, the width of the pool is (2L - 7) feet.
The perimeter of a rectangle is the sum of all four sides, so we can write the equation:
2L + 2(2L - 7) = 75
Simplifying this equation:
6L - 14 = 75
6L = 89 + 14
L = 89/6
L = 14.833 ≈ 15
So the length of the pool is 15 feet and the width is (2 × 15 - 7) = 23 feet.
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(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
Answer:
(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
A manager at a store is holding a contest where the first, ninth, and ninetieth customers of the day will win a prize. 100 people visit the store that day. Three different friends visit the store that day. What is the probability that they are the first, ninth, and ninetieth customers of the day? Give your answer as a fraction in simplest form.
Answer: 1/970200
Step-by-step explanation:
This is a permutation problem, because the order matters.
There are 100! ways for the 100 customers to visit the store.
There are (100−3)!=97! ways for the three friends to be the first, ninth, and ninetieth customers
how do you factor 3x^2-3x-90
3x^2 - 3x -90
=3 (x^2 - x -30)
=3 (x^2 −6x+5x−30)
=3(x(x−6)+5(x−6))
=3(x−6)(x+5)
You are employed by the Indiana Pacers to model attendance at their regular season basketball games. Paid attendance is your dependent variable, and you employ a variety of independent variables: the Pacers' current winning percentage (WINPCT), their opponents current winning percentage (VISPCT), the number of all-star votes received by the visiting team, in millions (ALLSTAR), the fraction of minutes played by foreign players on the visiting team (FOREIGN), and the number of home games for the Pacers in the next week (NEXTWEEK). Your regression output is presented below.
Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 164 ANOVA df SS MS Regression 46772032 9354406 Residual 95614595 605155.7 Total 142386627 Coefficients Standard Error t Stat Intercept 12300.869 357.106 34.446 WINPCT 1966.862 580.215 3.390 VISPCT 1477.604 359.496 4.110 ALLSTAR 769.433 112.472 6.841 FOREIGN -503.472 NEXTWEEK -150.563 60.396 -2.493 You included the fraction of minutes played by foreign players on the visiting team (FOREIGN) because one of the Pacers executives believed that foreign players decrease attendance. How would you respond to the executives claim?
You included the fraction of minutes played by foreign players on the visiting team (FOREIGN) because one of the Pacers executives believed that foreign players decrease attendance. How would you respond to the executives claim?
Select one:
a. "You are correct: a team composed entirely of foreign players would draw 503 fewer fans than a team composed entirely of domestic players."
b. "You are correct: a team composed entirely of foreign players would draw on average 503 fewer fans than a team composed entirely of domestic players."
c. "You are incorrect: my model proves that the percentage of foreign players has no effect on attendance."
d. "You are incorrect: foreign players actually increase attendance."
e. "You may or may not be correct: we have insufficient evidence in this model that foreign players decrease attendance." Clear my choice
Your response to the executive's claim should be: E. You may or may not be correct: we have insufficient evidence that foreign players decrease attendance.
What is a least-squares regression?
A least-squares regression line can be defined as a standard technique in regression analysis and statistics that is used to make the vertical distance obtained from the data points running through a regression line to become very minimal or as small as possible.
In this scenario, the inclusion of the fraction of minutes played by foreign players on the visiting team (foreign) may or may not be correct because we do not have sufficient evidence in this regression model that highlighted (depicted) foreign players decrease attendance.
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Fill in the blank:
1000 - 7 = ________ (8 letter word)
Hint: It is a reference from someone called Kaneki? No idea who that gentleman is..
I’M SORRY FOR TAKING LONG T-T
Answer:
the answer is 12345678 done
Step-by-step explanation:
I hope it's help
Which angle is adjacent to <1?
i want the answer for this question fast plz
Answer:
l dont know bro sorry but l will let you konw
What is the other 0 of the quadratic function
Answer: Unknown
Step-by-step explanation:
-b+/-√b^2-4ac/2a < plug a b and c into this equation and boom done ez
Answer for brainiest
Answer:
x=72°
Step-by-step explanation:
We know angles around a point equals 360°
Therefore,
(2x-61)°+(x-11)°+3x°=360°
2x-61+x-11+3x=360°
Collect like terms,
2x+x+3x-61-11=360°
6x-72°=360⁰
Evaluate;
6x=360°+72°
6x=432°
Divide both sides by 6
x=72°
A cheerful teen willing to help,
please mark BRAINLIEST,
stay salty...
Answer:
x = 72°
Step-by-step explanation:
there is a total of 360 degrees in a circle
we know we can add the angle measures shown and set it equal to 360
3x + (x-11) + (2x-61) = 360
combine 'like terms':
6x + (-11) + (-61) = 360
6x + (-72) = 360
6x = 432
x = 72
Check:
[2(72)-61] + (72-11) + 3(72) should equal 360
(144-61) + 61 + 216 = 360
83 + 61 + 216 = 360
360 = 360
so in the attentang bata, por is is a triangle It BD parallel AC, A B = BC = 15cm, BD=9cm find the length of AC. 16cm 76 EM A olgen c Soin
Please help ! Given m || n, find the value of x. (9x-7)°=(7x3)° … I don’t understand this I’ll love the help. From anyone. Thank youu
Check the picture below.
Answer:
x = 2
Step-by-step explanation:
When a transversal crosses parallel lines, it creates 8 angles. Pairs of angles that are in the same direction from the points of intersection are called "corresponding angles." Corresponding angles are congruent.
__
In the given diagram, the marked angles are both "southeast" of their respective points of intersection. That means they are corresponding angles, and have the same measure.
(9x -7)° = (7x -3)°
2x = 4 . . . . . . . . . . . divide by °, add 7-7x
x = 2 . . . . . . . . . divide by 2
_____
Check
The measures of the angles are ...
(9(2) -7)° = (18 -7)° = 11°
(7(2) -3)° = (14 -3)° = 11° . . . . same as the first angle, as it should be
thanks ill mark brainliest
Answer:
Your answer should be B. CD
Step-by-step explanation:
Answer:
option B is correct answer.
Step-by-step explanation:
CD =~ HG.
hope this helps you.
George has four boards that are each 43 feet long and two that are 5.75 feet long.
What is the total length of all the boards together? Give your answer as a decimal.
Answer:
183.50 feet
Step-by-step explanation:
43*4=172
5.75*2=11.50
172+11.50=183.50
183.50 feet
hình vuông có mấy cạnh
I need to find out what the value of Z is pls help
171 ig
Step-by-step explanation:
2z-4= 2
3z+4=
7+2= 9
180(supplementary)
180-9=171 degree
Order the side lengths AB, BC, and CA from least to greatest.
(Note that the figure is not drawn to scale.)
Answer:
BC < AC < AB
Step-by-step explanation:
In triangle smallest has the smallest opposite side and so on
first find ∠A = 180 - 59 - 79
= 42
∠A < ∠B < ∠C
Then ∠A opposite side is BC is less
so BC < AC < AB
what is the solution to 2x-y=-3
Answer:
2x=y+3
Step-by-step explanation:
make 2x the subject formula
then it becomes equation 1
People were polled on how many books they read the previous year. Initial survey results indicate that s= 18.1 books. Complete parts (a) through (d) below.
(a) How many subjects are needed to estimate the mean number of books read the previous year within six books with 95%confidence?
This 95% confidence level requires ____subjects. (Round up to the nearest subject.)
(b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 95% confidence?
This 95% confidence level requires _____subjects. (Round up to the nearest subject.)
(c) What effect does doubling the required accuracy have on the sample size?
A.Doubling the required accuracy nearly quadruples the sample size.
B.Doubling the required accuracy nearly halves the sample size.
C.Doubling the required accuracy nearly quarters the sample size.
D. Doubling the required accuracy nearly doubles the sample size.
(d) How many subjects are needed to estimate the mean number of books read the previous year within four books with 99% confidence?
This 99% confidence level requires _____ subjects. (Round up to the nearest subject.)
This 99% confidence level requires ____subjects. (Round up to the nearestsubject.)
Compare this result to part (a). How does increasing the level of confidence in the estimate affect sample size? Why is thisreasonable?
A. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.
B. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size.
C. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.
D. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size.
is this question from book or just asking about subject???
simplify 3 wholes 6/8 + 2 wholes 2/8
Answer:
5/1
Step-by-step explanation:
3.75 + 2.25 = 5
5 = 5/1
90 degree angle is divided into two sides
Answers:
3x + 40 =64
4x - 6 =26
Step-by-step explanation:
So we are dealing with 2 complementary angles with both add up to 90 degrees. We can write an equation that shows this:
(3x+40) + (4x-6) = 90
Combine like terms
7x + 34 =90
Isolate x
7x = 56
x = 8
Now that we found x, all we have to do is substitute it in the equations:
3x + 40 = ?
3(8) +40 = ?
24+40 = ?
64 = ?
4x - 6 = ?
4(8) - 6 = ?
32 - 6 = ?
26 = ?
Answer:
3x+40= 66
4x-6= 26
Step-by-step explanation:
3x+40+4x-6=90˚ (because the square on the angle represents a 90˚)
Add 4x and 3x
Which is 7x
40 minus 6 is 34
The equation now looks like this:
7x+34=90˚
Subtract 34 on both sides:
7x=56
Divide 7 on both sides:
x=8
For 3x+40
Substitute x with 8
the equation now looks like this:
24+40 Which is 66
For 4x-6
4 times 8 is 32
32 minus 6 which is 26
Hope this helps!
What is the length of a diameter of a circle with a radius of 5.7 cm?
Answer:
i believe 27.2 centimeters
Answer:
11.4
Step-by-step explanation:
A radius (labeled r)
[tex]d = r \times 2 \\ = 5.7 \times 2 \\ = 11.4[/tex]
stops at the center so its half the diameter, thus the diameter (labeled d) is:
Senna was having a party for 15 friends. She bought 3 jars of
pickles for $4.50. What is the cost per jar?
Answer:
$1.50 per jar
Step-by-step explanation:
4.50 / 3 = 1.50
Need help asap!! really important!
Answer:
The second on the left
Step-by-step explanation:
Y=-4(x+1)^2 -8 PLEASE HELP!!
Answer:
Flipped over x-axis, Stretched by 4 times in y values, 1 unit to the left, and 8 units down.
Step-by-step explanation:
Sign in front, outside of parentheses, if negative, represents a vertical flip.
Multiple proceeding is the amount of stretch (or compression if it is a value less than 1)
A positive value within the parentheses represents a shift to the left.
The c value of this function being negative shows a downward transition.
(a) The diagram below, not drawn to scale, shows a circle, centre 0. EH and EF are tangents to the circle. FOG and JOH are straight lines. The measure of ZFCH = 44º. 44° Calculate, giving reasons for your answer, the measure of: (i) ZEHF (ii) ZFGH (2 marks) (2 marks) (iii)JHE (2 marks (iv) ZJGH 90 (2 marks)
Answer:
it is 6574 for the math problem
which of these sequences of transformation would not return a shapte to its original position
Answer:
dialation
Step-by-step explanation:
Four less than the product of a number and 8 is twice the sum of the number and 10 what is the number
Answer:
x=4
Step-by-step explanation:
Four less than the product of a number and 8:
8x−4
is twice the sum of the number and 10, so
8x−4=2(x+10)
Simplify.
8x−4=2x+20
Add 4 to both sides, which is
8x=2x+24
Subtract 2x from both sides:
6x=24
Divide 6 from both sides to isolate the x
x=4
-how I got 20
8x-4=2(x+10) x=8 so 8+10=18 18+2=20
also sorry for posting the answer in the comments and then making an answer after you saw i just wanted da points and hope it helped you :)
Find the GCF of 21m5n2 and 28m4n2.
A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?
