the answer to the question is 799
(4 + - 2)2 - 6(2 - 10)
Answer:
\(\boxed{\boxed{\tt52}}\)
Step-by-step explanation:
\(\tt (4 + (- 2))2 - 6(2 - 10)\)
Let's follow the PEMDAS order of operations:
ParenthesesExponentsMultiplicationDivisionAdditionSubtraction\(\boxed{\tt (4 + (- 2))2 - 6(2 - 10)}\)
1) Calculate within the parentheses:
\(\tt 4+\left(-2\right)\)\(\tt 4-2\)\(\tt =2\)Calculate within the parentheses:-
\(\tt 2\times \:2-6\left(2-10\right)\)\(\tt 2-10\)\(\tt =-8\)\(\tt 2\times \:2-6\left(-8\right)\)2) Multiplication/Division:
\(\tt 2\times \:2\)\(\tt =4\)\(\tt 4-6\left(-8\right)\)Multiplication/Division:
\(\tt 6\left(-8\right)\)\(\tt -48\)3) Addition/Subtraction
\(\tt 4-\left(-48\right)\)\(\tt 4+48\)\(\tt 52\)_________________________
I think of a number. I subtract 14 from the number and then treble the difference. The result is two third of the number. Find the original number
Answer:
18 is the original number.
Step-by-step explanation:
Let the number be x.
A/Q:-
3 (x-14)= 2/3x
Multiplying by 3 we get
9(x-14)=2x
9x-126=2x
9x-2x=126
7x=126
x =126/7
x=18
Answer:
Let the no. be x
3 (x-14) =
What is the most common error when entering a formula is to reference the wrong cell in the formula?
The most common error when entering a formula is to reference the wrong cell in the formula.
This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.
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3x + 4 = 5x - 10
what is the answer
Answer:
x =7
Step-by-step explanation:
hope it helped
Answer:
x=7
Step-by-step explanation:
i just saw that this has been answered but i want to give an explanation incase it is needed:
•3x+4=5x-10
first move the like terms to one side of the = sign. (its best to move the smaller x value to the bigger one.
•4+10=5x-3x
then you just solve the equation on both sides:
• 14=2x
then you have to being the 2 over the = sign so that x is by itself. when you bring a divide value over the = sign it will turn into the opposite operation.
so basically you are dividing 14 by 2
•14/2 = x or 14÷2=x
which finally gives you :
x=7
hope that makes sense...
18. If m angle EBD= 4x - 8 and m angle EBC= 5x + 20 find the value of x and m angle EBC.
Can someone answer this question?
Answer: 4 hope this helps
Actual Hours × (Actual Rate - Standard Rate) is the formula to compute ________1. variable manufacturing overhead rate variance2. variable manufacturing overhead efficiency variance3. fixed overhead budget variance4. fixed overhead volume variance
1. Variable manufacturing overhead rate variance
The formula Actual Hours × (Actual Rate - Standard Rate) is used to calculate the variable manufacturing overhead rate variance. This variance measures the difference between the actual variable manufacturing overhead cost incurred and the standard variable manufacturing overhead cost that should have been incurred, based on the standard rate per hour.
Variable manufacturing overhead rate variance = Actual Hours × (Actual Rate - Standard Rate)
The variable manufacturing overhead rate variance provides insight into how efficiently a company is utilizing its variable manufacturing overhead resources in terms of the rate per hour. A positive variance indicates that the actual rate paid per hour for variable manufacturing overhead was higher than the standard rate, resulting in higher costs. On the other hand, a negative variance suggests that the actual rate paid per hour was lower than the standard rate, leading to cost savings.
By analyzing this variance, management can identify areas where the company may be overspending or underspending on variable manufacturing overhead and take corrective actions accordingly, such as renegotiating supplier contracts or optimizing resource allocation.
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Menus The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are six appetizers, five soups, five main courses, and six desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible
The three-course meals that are possible are 300.
To calculate how many three-course meals are possible, we need to calculate the total number of options. Since, you cannot have both dessert and appetizer, you have two options for the first course. Let's consider both these cases separately.
Case 1: Dessert
For the first course, there are six dessert option. After choosing a dessert, you are left with five soup option and five main course option. In this case, number of three-course meals possible are 6 * 5 * 5 = 150.
Case 2: Appetizer
For the first course, there are six appetizer option. After choosing an appetizer, you are left with five soup option and five main course option. In this case, number of three-course meals possible are 6 * 5 * 5 = 150.
Therefore, by adding up both the possibilities from both the cases, we have a total of 150 + 150 = 300 three-course meals possible.
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What’s the ratio of the volume?
20:4
4:1
16:1
64:1
Answer:
4:1
I hope this helps a little bit.
Mark was thinking of a number. Mark adds 1.7 to the number, then doubles the result to get an
answer of 42.7. Form an equation with x
Answer:
2(x + 1.7) = 42.7
Step-by-step explanation:
"adds 1.7 to the number" represents x + 1.7"then double the result" combined with "adds 1.7 to the number" represents 2(x + 1.7) "answer of 42.7" combine with all of the above makes 2(x + 1.7) = 42.7How do I know if these are true or false?For #9-12, True or False?9. In the construction of a frequency distribution, it is a not a good ideato have overlapping class limits such as 10 - 20, 20 ÷ 30, 30 - 40.10. It is not important to keep the with of each class the same in afrequency distribution. True11. In construction of a frequency polygon, the class limits are used forthe x-axis. ch12. Data collected over a period of time should be graphed by using apie chart. C
Question 9.
In the construction of a frequency distribution, it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40.
Let's determine if the above statement is true or false.
A frequency distribution shows a representation of the num ber of observations within a given interval either in tabular or grahical format.
In the construction of a frequency distribution, the class limits should be made very clear in order for each observation to fall into only one class.
It is not a good idea to have ovelaping class limits like 20-30, 30-40. This is because overlaping limits such as this would make it dificult to determine the class where 30 is located.
Therefore, this statement ''it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40'' is TRUE.
ANSWER:
True.
PLEASE HURRY AND HELP ❗️
The temperature in Chicago is 42°F and the temperature
Dayton is 19° cooler. What is the temperature in Dayton?
What Is The Order?
For The Variable Expressions
Answer:
I think it’s 4/n and 4 divided by n. Sorry if it’s wrong!
Step-by-step explanation:
Question 41 of 47
What is the equation of the line represented by the table below?
X
-2
-1
0
1
2
y
12
7
2
-3
-8
A y=10x-5
B. y-12x-5
OC. y=-2x+2
OD. y --5x+2
SUBMIT helppp
Answer:
D will be tour answer hope it helps you, Good luck.
it is assumed that approximately 15% of adults in the u.s. are left-handed. consider the probability that among 100 adults selected in the u.s., there are at least 30 who are left-handed. given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? why or why not?
Option C. No, because the 100 adults were selected without replacement, the selections are dependent.
The binomial probability formula assumes that the trials are independent, meaning that the probability of success or failure for each trial remains the same regardless of the outcomes of previous trials. However, in this case, the 100 adults were selected without replacement, so the probability of being left-handed for each selection depends on the outcomes of previous selections. Therefore, the binomial probability formula cannot be used to find the probability in this situation. Instead, the hypergeometric distribution can be used to account for the dependence between selections.
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Complete question:
It is assumed that approximately 15% of adults in the U.S. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Why or why not?
A. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent.
B. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent.
C. No, because the 100 adults were selected without replacement, the selections are dependent.
D. No, because the probability of being right-handed is greater, x must count the number of right-handed adults.
Please help me with the problem and show work, please
The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result is 20. Find the numbers.
Answer:
4 and 12
Step-by-step explanation:
let x be the smaller number and y the larger number , the
x + y = 4x ( subtract x from both sides )
y = 3x → (1)
2y - x = 20 → (2)
substitute y = 3x into (2)
2(3x) - x = 20
6x - x = 20
5x = 20 ( divide both sides by 5 )
x = 4
substitute x = 4 into (1)
y = 3x = 3 × 4 = 12
smaller number is 4 and larger number is 12
Suppose a birth control pill is 98% effective in preventing pregnancy. Find the following probabilities. (a) Find the probability that one woman using this pill did not become pregnant. Pr(E) = ____
Consider 100 women using this pill. Each manifestation of Eis independent. Find the probability that none of the 100 women became pregnant. (Round your answer to three decimal places.) Pr(E₁,∩ E₂∩.....∩E₁₀₀) = _____
(b) Which of the following formulas can be used to calculate the probability that at least 1 woman per 100 users will become pregnant? o Pr(at least 1 woman per 100 users become pregnant) - Prenone pregnant). Pr(one pregnant) o Pr(at least 1 woman per 100 users become pregnant) - Pr(none pregnant) Pr(none pregnant one pregnant) o Pr(at least 1 woman per 100 users become pregnant) - Pr(none pregnant one pregnant) o Pr(at least 1 woman per 100 users become pregnant) = 1 - Pr(none of the 100 users become pregnant) What is the probability that at least one woman per 100 users will become pregnant? (Round answer to three decimal places.) Need Help? Raadit
(a) The probability that one woman using the birth control pill did not become pregnant is 0.98 (98% effective rate).(b) The formula that can be used to calculate the probability that at least one woman per 100 users will become pregnant is Pr = 1 - Pr.
(a) Given that the birth control pill is 98% effective, the probability that one woman using the pill did not become pregnant is 0.98. This means that there is a 98% chance of preventing pregnancy for an individual woman.
(b) To find the probability that at least one woman per 100 users will become pregnant, we can use the complement rule. The complement of "at least one woman per 100 users becoming pregnant" is "none of the 100 users becoming pregnant."The probability of "none of the 100 users becoming pregnant" can be calculated by multiplying the individual probabilities of each woman not becoming pregnant, assuming independence. Since each manifestation is independent, the probability for each woman not becoming pregnant is also 0.98.
Therefore, the probability that none of the 100 women become pregnant is (0.98)^100 ≈ 0.132, rounded to three decimal places.Using the complement rule, we can calculate the probability that at least one woman per 100 users will become pregnant as 1 - Pr(none of the 100 users become pregnant) = 1 - 0.132 ≈ 0.868, rounded to three decimal places. This is the probability that at least one woman per 100 users will become pregnant.
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Solve for x
PLEASE HELP ME !!!
Answer:
360-(26x2)
=360-52
=308
\(15x - 26 = 308 \\ 15x = 308 + 26 \\ 15x = 334 \\ x = 334 \div 15 \\ x = 22.27 \: or \: \frac{334}{15} \)
Answer:
x=12
Step-by-step explanation:
Arc ST measures 26 so that means it central angle measure 26.Since all radius are equal, Angle RVU also equal 26 since it a vertical angle.RV=VT and UV=US so that any angle those four segment forms will be vertical angle since all radius are equal.E.x(Angle RVS and UVT.Since we know two arcs measure already,
\(360 - 26 - 26 = \)
\(360 - 52 = 308\)
Then since those are vertical angles, just divide 308 by 2
\( \frac{308}{2} = 154\)
Set 15x-26=154
\(15x - 26 = 154\)
\(15x = 180\)
\(x = 12\)
3.2(x - 5) has infinitely many solutions is Alex correct
Alex's statement that 3.2(x - 5) has infinitely many solutions is correct
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
3.2(x - 5)
The above is an expression
This means that it can take any value depending on the value of x
Taking any value implies that it has infinitely many solutions
Hence, Alex's statement about the solutions is correct
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Susannah purchased a lawnmower for $1,250 using a six-month deferred payment plan. The interest rate after the introductory period is 25.99%. No down payment is required, but there is a minimum monthly payment of $30. What is the balance at the beginning of the seventh month if only the minimum payment is made each month during the introductory period? (4 points)
a $1,070.00
b $1,250.00
c $1,241.49
d.$1,421.49
Answer:
A is the correct answer to the problem!
please answer a and c pwease
Answer:
Let's identify what we know and what we are looking for. To start off, the question states that there is a flat rate of 500. This is the y intercept, because you start off with 500. It also states that it charges a fee of 50 per hour, which is your slope. So what we have now is y=50x+500. We know that A is asking how much it will be for 20 hours. We simply plug 20 into x, so we do y=50(20)+500 which gives 1500. For C, we repeat the same step and just plug in 50.
I'm struggling with this question on quadratic equations and would like somebody to explain it to me. Thank you!
Hello, sorry for taking half an hour to respond.
a) If x represents the number of students in her class, we have :
The cost of a calculator on website C : 480 : x
The cost of a calculator on website D : 480 : (x+4)
b) We call the price of a calculator on website C as a, and the price on website D is a-6
Let's also call the amount of calculators if we buy on website C as d, and the amount of calculators if we buy on website D as d + 4
We have :
a.d = (a-6)(d+4)
Break the brackets out : ad = ad-6d + 4a - 24
=> -6d + 4a - 24 = 0
Divide both sides by 2
=> -3d + 2a - 12 = 0
=> 2a = 3d + 12
So, d is divisible by 3, and a is divisible by 2 => ad is divisible by 6.
And ad x the amount of students = 480
So, we can conclude that the amount of students is a factor of 80
Let's list out all of them : 1,2,4,5,8,10,16,20,40,80.
If there was 20 students :
The price of each calculator would be : 480 : 20 = 24
If it's 6 cheaper, it would be 24-6 = 18
And she would've gotten 480 : 18 (not divisible)
If you keep replacing like that, you'll eventually get the answer. I don't have time left, so the answer is 16 students. Hope it helps.
Simplify 7 · 6 · 2h · d.
42 + 2 h + d
84 dh
48 dh
2 Points
For this graph, mark the statements that are true.
A. The Range is set of all real numbers
B. The Range is the set of real numbers greater than or equal to zero
C. The domain is the set of all real numbers
D. The domain is the set of all real numbers greater than equal to zero
Answer:
B. The Range is the set of real numbers greater than or equal to zero
C. The Domain is the set of all real numbers .
Step-by-step explanation:
The Domain is the set of real numbers for which the function is defined. In this case, the Domain is the set of all real numbers .
The Range is the set of real numbers that are connected to the elements of the domain. In this case, you see that only real numbers above (or in the) x-axis are connected to the x-values of the domain. Then another answer to check is;
B. The Range is the set of real numbers greater than or equal to zero.
The relationship between the number of pounds (lb) of peanuts and the price
in dollars is shown in the graph. What is the unit price of peanuts?
A. 1 lb/$6
B. $6/1 lb
C. $1/ 6 lb
D. $12/ 2 lb
Lucia says that 35 and 65 are both solutions of the equation 50 = x + 15. is lucia correct? explain
Answer:
no
Step-by-step explanation:
test the numbers by plugging them into the equation
50 = (35) + 15
50 = 50 - this answer is correct
50 = 65 + 15
50 = 80 - this answer is incorrect
Marcus buys a varsity jacket from a clothing store.
SP The price of the jacket is $80.00 and the sales tax is
8%. What is the total cost of the jacket?
Brady has $20,000 in student loans with 3.3% interest that he plans to pay off in 5 years. Find the total cost of repayment.
The total cost of repayment over 5 years is $23,300.
What is the total cost of repayment?A loan repayment refers to the act of paying back money previously borrowed from a lender.
To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.
The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)
Interest = Principal * Interest Rate * Time
Given:
Principal amount is $20,000
Interest rate is 3.3%
Duration is 5 years.
Interest = $20,000 * 0.033 * 5
Interest = $3,300
Total Cost of Repayment = Principal + Interest
= $20,000 + $3,300
= $23,300.
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5 less than a number is equivalent to 1 more than three times the number.
The value of the unknown number is calculated as - 3
Let the unknown number = y
5 less than the number is written as = y - 5
1 more than three times the number is written as = 1 + 3y
Since the first statement and the second statement are equal, we can equate the two and solve for y.
y - 5 = 1 + 3y
collect similar terms together
y - 3y = 1 + 5
-2y = 6
y = -6/2
y = -3
Therefore, the number is - 3
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Building and solving the expression, it is found that the number is -3.
------------------
The number is unknown, so we are going to call it x.5 less than the number is x - 5.Three times the number is 3x.1 more than three times the number is 1 + 3x.They are equivalent, thus:
\(x - 5 = 1 + 3x\)
Solving for x.
\(3x - x = -5 - 1\)
\(2x = -6\)
\(x = -\frac{6}{2}\)
\(x = -3\)
The number is -3.
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What is the quotient?
x + 1)3x² - 2x + 7
O , ? 1
3x-5+
ܕ ? 5 +O3x
Q3+5+
O
ܕ ? ܟ ܀ 5
3x + 5+
The correct expression is 13x - 5 + (12/x + 1).
The given expression is 3x² - 2x + 7.Dividing 3x² - 2x + 7 by (x + 1) using long division method:
3x + (-5) with a remainder of
12.x + 1 | 3x² - 2x + 7- (3x² + 3x) -5x + 7- (-5x - 5) 12
Thus, the quotient is 3x - 5 with a remainder of 12.
If we need to write the division in polynomial form, it is written as:
3x² - 2x + 7
= (x + 1) (3x - 5) + 12
By using synthetic division, it can be represented as:
-1 | 3 -2 7 3 -1 -6 -1 6 1
The quotient is 3x - 5 with a remainder of 12.
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