What is the correct mathematical description of the expression (14.8 ÷ 2) + 6 x 3 − 12?
14 and 8 tenths divided by 2 plus 6 times 3 minus 12
14 and 8 tenths divided by 2 plus 6 times the difference of 3 minus 12
The quotient of 14 and 8 tenths divided by 2 plus six times 3 minus 12
The quotient of 14 and 8 tenths divided by 2 plus the product of 6 and 3 minus 12
Answers
Answer: D or the Fourth Choice-The quotient of 14 and 8 tenths divided by 2 plus the product of 6 and 3 minus 12.
PEDMAS means Parentheses, Exponents, Divide, Multiply, Add, Subtract. The first thing we must solve is what is in the parentheses, that is 14.8 divided by 2. We don't have any exponents, so we move to divide. We have already solved the division sentence that was in the parentheses, so we have to multiply 6x3 next. 6x3 will then be added to the answer that was divided by 14.2 and 2, and lastly we will subtract 12. The only answer choice that follows that pattern is D or The quotient of 14 and 8 tenths divided by 2 plus the product of 6 and 3 minus 12.
Related Questions
help me with find the slope PLEASEEEE I NEED HELPP
Answers
Answer:
y=-1
x=-3
Step-by-step explanation:
The graph shows the relationship between
the volume of coffee in a cup and the length
of time Cassie pours coffee into the cup.
milliliters
200
150
100
50+
(1,50)
seconds
1
2
3
What does 50 mean in this situation?
Answers
Answer: A
Step-by-step explanation:
I did it already
Answer:
A
Step-by-step explanation:
Your friend needs your help. His parents have told him that it is time for him to start paying for his own cell phone. After completing some research on the internet, you have narrowed down his options. Option 1 charges $0.30 for each cell phone call and $25 for unlimited text messaging. Option 2 charges a flat rate of $40.
Which plan is the best option?
Answers
Answer:
For less than 50 calls, option 1 is the best, while for more than 50 calls, option 2 is the best.
Step-by-step explanation:
Option 1:
For n calls, the cost is given by:
\(C_{1}(n) = 25 + 0.3n\)
Option 2:
The cost is flat of 40, so \(C_{2}(n) = 40\)
Which plan is the best option?
Depends on the number of calls, as for a high number, \(C_1\) will be higher than \(C_2\). We have to find this number. So
\(C_{1}(n) > C_{2}(n)\)
\(25 + 0.3n > 40\)
\(0.3n > 15\)
\(n > \frac{15}{0.3}\)
\(n > 50\)
This means that for less than 50 calls, option 1 is the best, while for more than 50 calls, option 2 is the best.
5 minus the square a number
Answers
Answer:
5 - x^2
Step-by-step explanation:
5 - x^2 the translation
If the sides of a square measure 9 3units, then find the length of the diagonal.
Answers
Mai's class volunteered to clean a park with an area of square mile. Before they took a lunch break, the class had cleaned of the park. How many square miles had they cleaned before lunch?
Answers
The class had cleaned x × A square miles before lunch.
Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).
If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:
Area cleaned before lunch = x × A
Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.
Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).
If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:
Before lunch, the area was cleaned = x A
We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.
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help pls
A plane traveled 1071 miles each way to Casablanca and back. The trip there was with the wind.
It took 7 hours. The trip back was into the wind. The trip back took 9 hours. Find the speed of
the plane in still air and the speed of the wind.
Answers
Answer:
plane: 136 mphwind: 17 mphStep-by-step explanation:
The relation between time, speed, and distance can be used to write equations for the speeds in each direction.
SetupLet p and w represent the speeds of the plane and the wind, respectively. The speed with the wind is ...
speed = distance/time
p +w = 1071/7 = 153
The speed against the wind is ...
p -w = 1071/9 = 119
SolutionThe plane's speed can be found by adding these two equations:
(p +w) +(p -w) + (153) +(119)
2p = 272
p = 136 . . . . . divide by 2
The wind speed can be found from either equation:
w = p -119 = 136 -119 = 17
The speed of the plane in still air is 136 miles per hour; the speed of the wind is 17 miles per hour.
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
Answers
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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What is the slope of the line that goes through the points (-4, 5) and (6, 2)?
Answers
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{-3/10}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{Points (-4, 5) and (6, 2)}\)
Find: \(\textsf{Slope of the line that goes between the points}\)
Solution: In order to determine the slope of a line we need to follow the slope formula to determine it. Just plug in the values and simplify.
Plug in the values
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)\(m = \frac{2 - 5}{6 - (-4)}\)Simplify the expression
\(m = \frac{-3}{6 + 4}\)\(m = -\frac{3}{10}\)Using those two points we were able to determine that the slope of the line that goes through the points is -3/10.
Plz helplpppppppppppppppppppp
Answers
Answer:
Part A: x+y=75 is the 1st linear equation
y=25+x
Part B:
x+y=75
x+(25+x)=75
2x=50
x=25
she spends 25 mins running
part c : no because if she spends 45 mins
then x+y=70
but x+y=75
she spends 50 mins dancing
A basketball player attempts eight free throws. Each attempt results in a score or a miss. Find the number of possible outcomes.
Answers
Answer:
9
Step-by-step explanation:
For one throw the probability of a miss is 1/2 since there are just two outcomes
Similarly for one throw the probability of a score is 1/2 since there are two outcomes.
Therefore for 8 trials we expect at least for different trials starting from 1
8 miss 0 score
7 miss 1 score
6 miss 2 score
5 miss 3 score
4 miss 4 score
3 miss 5 score
2 miss 6 score
1 miss 7 score
0 miss 8 score
So the number of possible outcomes is 9
And this define by what we call the binomial probability and is defined as
PLS help asap bt 1230 pt help thank you will brainliest
Answers
Answer:
85
Step-by-step explanation:
So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.
That is exactly what I though.
But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.
So, to find the angle of the trainge, lets take our 155 degree line.
Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:
180-155=missing angle
=
25. So we know that the smallest angle of the traingle is 25.
We also know that a traingle has a total of 180 degrees.
We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:
60+25
=
85
Now subtract it from 180:
180-85
=
95
So that last angle of the traingle is 95.
Now, we need to solve the missing angle of the line that will give us the answer.
Again, we know the line has to be 180, so lets subtract 95 from that:
180-95
=
85
So we know that the missing angle answer is 85!
I hope this isnt too confusing and helps! :)
f(x) = (x − 3)(x + 7)(x − 11) What are the zeros of the polynomial function?
Answers
Answer:
Step-by-step explanation:
Since the entire function f(x) involves terms being multiplied, each individual term can be set equal to zero in order to find the functions zeros. Hopefully that makes sense. If the function involved the addition or subtraction of terms, one term equaling zero doesn't necessarily require the second term to equal zero. If this doesn't make sense, that's okay. Either way, all you have to do is set each term equal to zero to find the zeros of f(x).
First:
\(x-3=0\)
\(x=3\)
Second:
\(x+7=0\)
\(x=-7\)
Third:
\(x-11=0\)
\(x=11\)
two adjacent angles form a right angle the larger angle is 3 times the measure of the smaller angle which is the measure of the larger angle
Answers
Answer:
30 degrees
Step-by-step explanation:
30..........................................................
 A TV has a listed price of $784.98 before tax if the sales tax is 7.75% find the total cost of the TV with sales tax included
Answers
The total cost of the television with sales tax included is $ 845.81
What is a percentage and how do we calculate it?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number.
Mathematically, Percentage formula = (Value/Total value) × 100
Given, the listed price of the television = $ 784.98
Percentage value of sales tax on purchase = 7.75
Using the mathematical formula in the above literature, we get
7.75 = (Value/784.98) × 100 ⇒ Value = (7.75*784.98)/100 = 60.83
Thus, total cost of the television will be:
Listed price + Value = $(784.98 + 60.83) = $ 845.81
Therefore, the total cost of the television with sales tax included is
$ 845.81
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A portfolio manager generates a 5% return in Year 1, a 12% return in Year 2, a negative 6% return in Year 3, and a return of 2% (nonannualized) in the first quarter in Year 4. The annualized return for the entire period is the closest to __________.
Answers
The annualized return for the entire period is the closest to 10.5%.
To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.
The formula for calculating the geometric mean return is:
Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1
Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.
Given the returns:
Year 1 return: 5% or 0.05
Year 2 return: 12% or 0.12
Year 3 return: -6% or -0.06
First quarter of Year 4 return: 2% or 0.02
Using the formula, we can calculate the annualized return:
Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1
Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1
Annualized Return = 1.121485^(1/3) - 1
Annualized Return ≈ 0.105 or 10.5%
Therefore, the annualized return for the entire period is approximately 10.5%.
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Shane and Daniel are simplifying the expression 24 ÷ 6 x 2. Daniel says the correct answer is 8, while Shane says the correct answer is 2. Who is correct and why?
Answers
The correct response to the equation 24 ÷ 6 x 2 is 8. As a result, Daniel is right whereas Shane is wrong.
In mathematics, there are certain principles for simplifying various expressions or equations. As a result, 8 is the correct answer since it satisfies to the BODMAS rule. In which case, division comes before multiplication and must come before addition.
In this statement, divide comes first, therefore 24 will be divided by 6, then the result of division will be multiplied by 2 to provide an answer of 8.
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A bird is flying at a constant rate.
This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.
Which statement best describes the bird's elevation, given this equation?
The bird started at a height of 15 meters and is ascending at 8 meters per minute.
The bird started at a height of 15 meters and is descending at 8 meters per minute.
The bird started at a height of 8 meters and is descending at 15 meters per minute.
The bird started at a height of 8 meters and is ascending at 15 meters per minute.
Answers
Answer:
It is the first one 15 is the y intercept slope 8/1
Number theory help please
Answers
The negation of the statements are
If tomorrow is not New Year's Eve, then tody is not in DecemberIf x is nonnegative, then x is positive or x is zeroIf n is divisible by 12, then n is divisible by 3 and n is divisible by 4How to determine the negation of the statementsFrom the question, we have the following parameters that can be used in our computation:
The conditional statements
The rule of negation of a conditional statement is that:
Given mathematical statement. If “P”, the negation of statement P is represented by ~P.
Using the above as a guide, we have the following negations
If tomorrow is not New Year's Eve, then tody is not in DecemberIf x is nonnegative, then x is positive or x is zeroIf n is divisible by 12, then n is divisible by 3 and n is divisible by 4Read more about conditional statements at
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The negation of the conditional statements is
(1) Tomorrow is New Year's Eve and today is not in December.
(2) x is nonpositive and x is not negative and not zero.
(3) n is not divisible by 12 and n is divisible by 3 or 4.
How to write the negation of a statement?If the statement is "If A, then B", the negation will be "A and not B".If the statement is "A or B", the negation will be "not A and not B".If the statement is "A and B", the negation will be "not A or not B".We have conditional statements:
(1) If tomorrow is New Year's Eve, then today is in December.
(2) If x is nonpositive, then x is negative or x is zero.
(3) If n is not divisible by 12, then n is not divisible by 3 and n is not divisible by 4.
Write negations for each statements!
(1) Let's say
A = Tomorrow is New Year's Eve.B = Today is in December.The negation of "If A, then B" is "A and not B". So,
Tomorrow is New Year's Eve and today is not in December.
(2) Let's say
A = x is nonpositive.B1 = x is negative.B2 = x is zero.The negation of "If A, then B1 or B2" will be "A and not B1 and not B2". So, x is nonpositive and x is not negative and not zero.
(3) Let's say
A = n is not divisible by 12.B1 = n is divisible by 3.B2 = n is divisible by 4.The negation of "If A, then B1 and B2" will be "A and not B1 or not B2". So, n is not divisible by 12 and n is divisible by 3 or 4.
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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
Answers
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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4
Write the correct answer in the box. Substitute numerical values into the expression for all known variables.
Jeff wants to purchase a television for his first apartment. The television costs $750. He can get a zero-interest loan for the television if he pays $100 per month. At the same time, he puts away $200 per month in savings. To figure out when his savings will equal the remaining amount he owes on the television, he starts writing a system of equations:
Equation 1: y = 200x
Equation 2:
Write the second equation in the system.
Answers
9514 1404 393
Answer:
y = 750 -100x
Step-by-step explanation:
The initial remaining balance is 750. The balance decreases by 100 per month, so is reduced by 100x. The equation describing this is ...
y = 750 -100x
At a certain conference, three sessions were held at the same time period. The number of male and female
attendees at the three sessions was recorded, and the results are summarized below:
Male
Female
Session 1
Male 12
Female 8
Session 2
Male 18
Female 9
Session 3
Male 17
Female 5
a.) How many men attended the sessions?
b.) How many people attended Session 3?
c.) What is the sample size?
d.) If a random person is selected, what is the probability (to four decimal places) that the person is male?
e.) If a random person is selected, what is the probability (to four decimal places) that the person attended Session
3?
f.) If a random person is selected, what is the probability (to four decimal places) that the person is male and
attended Session 3?
Make sure to work out each problem not a multiple choice!!
Answers
Answer:
) The number of men who attended the sessions can be obtained by summing up the number of males in each session:
Total number of men = 12 + 18 + 17 = 47
Therefore, 47 men attended the sessions.
b) The number of people who attended Session 3 can be obtained by summing up the number of males and females in Session 3:
Total number of people in Session 3 = 17 (males) + 5 (females) = 22
Therefore, 22 people attended Session 3.
c) The sample size refers to the total number of attendees across all sessions. We can calculate it by summing up the number of males and females in each session:
Sample size = (12 + 8) + (18 + 9) + (17 + 5) = 69
Therefore, the sample size is 69.
d) To calculate the probability that a randomly selected person is male, we need to divide the number of males by the sample size:
Probability of selecting a male = Number of males / Sample size = 47 / 69 ≈ 0.6812
Therefore, the probability that a randomly selected person is male is approximately 0.6812 (rounded to four decimal places).
e) To calculate the probability that a randomly selected person attended Session 3, we need to divide the number of people who attended Session 3 by the sample size:
Probability of attending Session 3 = Number of people in Session 3 / Sample size = 22 / 69 ≈ 0.3188
Therefore, the probability that a randomly selected person attended Session 3 is approximately 0.3188 (rounded to four decimal places).
f) To calculate the probability that a randomly selected person is male and attended Session 3, we need to divide the number of males in Session 3 by the sample size:
Probability of being male and attending Session 3 = Number of males in Session 3 / Sample size = 17 / 69 ≈ 0.2464
Therefore, the probability that a randomly selected person is male and attended Session 3 is approximately 0.2464 (rounded to four decimal places).
Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.
Answers
My best guess is x^2 + x - 25
I’m sorry if I’m wrong
Find the 40th term 360,353,346,...
Answers
Answer:
87
Step-by-step explanation:
First method:
- Open Excel and enter 360, 353 and 346 in column A (below each other)
- Select all 3 cells and drag the bottom-right square down to row 40.
Second method:
- Use the equation t(n) = 360-7(n-1)
- Solve for n=40
- t(40) = 360 - 7*39 = 87
(88)(√75)
HELP ASAP....
Answers
Answer:
sqr75=sqr25*sqr3=5*sqr3
88(5*sqr3)
decimal = 762.10235533
Answer:
440√3Step-by-step explanation:
Given:
88√75Solution:
88•√(5^2 * 3)Rewrite the expression as:
88•(5√3)Multiply 88 into 5:
440√3762.102 ( 3 decimal place )The diagram shows a shape made from a solid cube and a solid cylinder.
The cube has sides of length 8.7 cm.
The cylinder has a radius of 2.7 cm and a height of 4.9 cm.
Calculate the total surface area of the solid shape.
Give your answer correct to 3 significant figures.
Answers
The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².
How to calculate the areaThe side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²
= 75.69 cm²
Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²
Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².
In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².
Total surface area = surface area of the cube + surface area of the cylinder
Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²
Total surface area ≈ 583.31 cm²
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Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is
x and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.
Answers
Is (7,-6) a solution to this system of equations?
y = 1/7x+ 7
X = 7
yes
no
Answers
If you want to get is
Y=mx+b
Y=1/7x+7
Y=1/7*7+7 Since x=7
Y=1+7 Compute 1/7*7
Y=8
Standard form equation
Answers
Answer:
5x+4y=24
Step-by-step explanation:
So Ax+By=C is the standard form equation of a line.
y=mx+b (in which m is the slope and b is the y-intercept) is the equation that most people start off with.
Since the line intersects the y-axis at (0,6), the y-intercept is 6.
So, we can substitute 6 with b, which is y=mx+6.
Now, we can find the slope (m) by either inserting a known point (x,y) or using rise/run. Either way, you get the slope as -5/4 because we go five units DOWN and four units RIGHT from (0,6), one known point, to (4,1), another known point.
The y=mx+b equation becomes: y=(-5/4)x+6.
Now, we subtract (-5/4)x on both sides to get (5/4)x+y=6
Multiply 4 on both sides because standard form requires no fractions or decimals.
The final answer is 5x+4y=24.
That's your answer, fully simplified!
PLEASE TELL ME ITS ANSWER
please answer question no. 7
and if u can also do question no. 6
Answers
Step-by-step explanation:
6) x+y=60
x/y=7/5------(2)
x=(7/5)y
(7/5)y + y =60
(12/5)y=60
y=60(5/12)
y= 25
x=(7/5)y=(7/5)×25 =35
the two numbers are 35 and 25
7)distance walked by A = 4t
distance walked by B = 5t
4t+5t=27
9t=27
t=27/9=3hours