"Negative one times the sum of one and seven times a number,
decreased by 6 times the difference of negative seven and a
number, equals thirty-six."
Answers
Answer:
x = 5
Step-by-step explanation:
Let the number be x
Translating the word expression into an algebraic equation;
\( -1 * (1+7x) - 6[(-7-x)] = 36\)
Simplifying the equation, we have;
\( -1 - 7x + 42 + 6x = 36\)
\( 41 - x = 36\)
Rearranging the equation, we have;
\( x = 41 - 36\)
x = 5
Therefore, the number is 5.
Related Questions
Need help asap please!
Answers
Answer: with what?
Step-by-step explanation:
Explain what you need help with pls.
Carlos has scored 83, 65, and 94 on his previous three tests. What score does he need on his next test so that his average (mean) is 82?
PLS HELP ME SOMEONE 32 POINTS AND PLS NO USELESS LINKS
Answers
Answer:
Carlos need to score 95Step-by-step explanation:
Let the score is x. The average is:
(83 + 56 + 94 + x)/4 = 82x + 233 = 4*82x = 328 - 233x = 95If f(x) and g(x) are inverse functions, find f(g(x)).
A)
-1
B)
0
C)
1
D)
х
Answers
Answer:
x.
Step-by-step explanation:
f(g(x)) = x.
How many square centimeters of wrapping paper will be needed to rap the shoe box
Answers
You need to find the surface area of a rectangular prism!!
(WORK SHOWN BELOW)
The grade point average for college students is based on a weighted mean computation. For most colleges, the grades are given the following data values: A (4), B (3), C (2), D (1), and F (0). After 60 credit hours of course work, a student at State University earned 6 credit hours of A, 15 credit hours of B, 31 credit hours of C, and 8 credit hours of D.
a. Compute the student's grade point average. Round your answer to two decimal places.
b. Students at State University must maintain a 2.5 grade point average for their first 60 credit hours of course work in order to be admitted to the business college. Will this student be admitted?
Answers
The student's grade point average is 2.32.
The student will not be admitted to the business college.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
(a)
Total grade points earned
= (6 x 4) + (15 x 3) + (31 x 2) + (8 x 1)
= 24 + 45 + 62 + 8
= 139
Total credit hours.
= 6 + 15 + 31 + 8
= 60
Now,
The student's grade point average:
= Total grade points earned / Total credit hours taken
= 139 / 60
= 2.32
(b)
2.32 < 2.5
This means,
The student's grade point average is lower than the required 2.5 GPA for admission to the business college.
Thus,
The student's grade point average is 2.32.
The student will not be admitted to the business college.
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Express 8^-4 using a positive exponents
Answers
That’s the answer
Your team has carefully researched and selected two possible painting companies. Pro Painters charge $200 per hour plus $6000 in material fees. Illusion Ltd charges $150 per hour plus $8000 in material fees.Create a graph of the cost for both companies using the grid below. Circle the point of intersection. Be sure your lines are properly identified.
Answers
Given:
• Pro Painters:
Charge per hour = $200
Material fees = $6000
• Illusion Ltd:
Charge per hour = $150
Material fees = $8000
Let's create a graph of the cost for both companies.
Represent each situation using the slope-intercept form:
y = mx + b
In this case, y represents the total charge, m is the charge per hour, x represents the number of hours, and b represents the material fees.
We have the following:
• Equation for Pro Painters:
y = 200x + 6000
• Equation for Illsion Ltd:
y = 150x + 8000
To graph let's create two points on each equation.
We have:
• Pro painters:
y = 200x + 6000
When x = 1: y = 200(10) + 6000 = 8000
When x = 3: y = 200(30) + 6000 = 12000
We have the points:
(x, y) ==> (10, 8000), (30, 12000)
Plot the points and connect them using a straight line.
• Illusion Ltd:
y = 150x + 8000
When x = 2: y = 150(20) + 8000 = 11000
When x = 4: y = 150(40) + 8000 = 14000
We have the points:
(x, y) ==> (20, 11000), (40, 14000)
Plot the points and connect them using a straight line.
We have the graph below:
The green line represents the cost for Pro Painters
The blue line represents the cost for Illusion Ltd.
From the graph, the point of intersection is (40, 14000).
This means at 40 hours, the cost for both companies will be the same ($14,000)
ANSWER:
• Equation for Pro painters: , y = 200x + 6000
,• Equation for Illusion Ltd: , y = 150x + 8000
,• Point of intersection: (40, 14000)
/////////////////////////////////////////////////
Answers
Answer:
341Step-by-step explanation:
We observe the pattern:
1, 5, 13, 25, ..It can be put as:
0 + 1, 1 + 4, 4 + 9, 9 + 16, ..or
0² + 1², 1² + 2², 2² + 3², 3² + 4², ..The nth term is going to be:
(n - 1)² + n²The sum of the 31 terms will be:
N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²or
N = 2(1² + 2² + 3² + ... + 30²) + 31²Use the formula for sum of the first n squares:
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6The sum N equals:
N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²And the value of N/31 is:
10*31 + 31 = 341I really need help with this ?
Answers
Please help me for 15 points
Answers
Which expression is equivalent to...
Answers
Step-by-step explanation:
hope you can understand
Your favorite dog groomer charges according to your dog's weight. If your dog is 10 pounds or under, the groomer charges $30. If your dog is between 10 and 35 pounds, she charges $40. If your dog is 35 pounds or over, she charges $1.25 per pound. You have three dogs. Max weighs 25 pounds, Sally weighs 8 pounds and Goliath weighs 80 pounds. How much will your total cost be if you get all three dogs groomed?
Answers
Answer:
$170
Step-by-step explanation:
Sally costs 30
Max costs 40
Goliath costs 80(1.25) = 100
add them up
$170
F. Why would a linear function describing an investment made at a bank have a minimum
value but no maximum value? Explain your reasoning.
Answers
Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.
Step-by-step explanation:
Please help i will give 60 points.
Answers
Answer:
a
Step-by-step explanation:
Write four thousand twenty four and seventy six thousandths in
number
inta decimall
Answers
Answer:
4,024.076
Step-by-step explanation:
and = Decimal point
0 = tenths 7 = hundredths 6 = thousandths
i could be wrong but
It took Alicia 45 minutes to read and take notes on 15 pages of her science textbook. At
that rate, how long would it take her to read and take notes on 25 pages of the textbook?
minutes
Answers
Answer: 225 minutes
Step-by-step explanation:
so do 5 times 5 ok, 25. then do 45 times 5 then the rate for 25 pages is 225 minutes.
23% of Americans don't celebrate the New Year at all. Write this percentage as a decimal and reduced fraction.
Answers
Answer:
decimal: 0.23 Fraction 23/100
Step-by-step explanation:
If you need an explanation just say it in the box:)
Let A, B, C be three points with position vectors a, b, c respectively. You may assume that the three points A, B, C do not all lie on the same straight line. Let D, E, F be the midpoints of the line-segments BC, AC, AB respectively. What is the point with position vector 1/3 (a+b+c)?
Answers
The midpoint of three points with the position vector 1/3(a + b + c) is given by:
P = (b + c - B - C) / 2 + (1/3)(b + c)
The point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
To find the point with the position vector 1/3(a+b+c), we can use the fact that the position vector of a point that divides a line segment in a given ratio can be found by taking the weighted average of the position vectors of the endpoints.
Given that D, E, and F are the midpoints of line segments BC, AC, and AB, respectively, we know that:
D = (B + C) / 2
E = (A + C) / 2
F = (A + B) / 2
To find the point with the position vector 1/3(a+b+c), we can substitute a = 3F - 2D - E into the equation:
1/3(a + b + c) = 1/3((3F - 2D - E) + b + c)
Expanding the equation further:
1/3(a + b + c) = 1/3(3F - 2D - E + b + c)
= (F - (2/3)D - (1/3)E) + (1/3)(b + c)
Therefore, the point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
Substituting the midpoints:
P = (A + B) / 2 - (2/3)((B + C) / 2) - (1/3)((A + C) / 2) + (1/3)(b + c)
= (A + B - 2B - 2C - A - C + b + c) / 2 + (1/3)(b + c)
= (b + c - B - C) / 2 + (1/3)(b + c)
Therefore, the midpoint of three points with the position vector 1/3(a + b + c) is given by:
P = (b + c - B - C) / 2 + (1/3)(b + c)
The point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
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What is the value of 3ab+5b-6 when a =1 and b=3
Answers
Answer:
The answer to the question provided is 0.
Can somebody pls answer these three questions pls!!!!ASAP
Answers
Answer:
1) x=1
2) x=6
3) x=3
Step-by-step explanation:
i just did them :) good luck
Lla must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Lla's parents allow her to work a maximum of 15 hours per week overall. Lla's goal is to earn at least $120 per week.
1. Write a system of Inequalities to represent this situation. Letr be the number of hours worked at the restaurant, and let y be the number of hours of yard work.
2. Graph the Inequalities.
3. What is the maximum number of hours Lla can work at the restaurant and still meet her earnings goal? Explain.
4. What is the maximum amount of money Lla can earn In 1 week? Explain.
Answers
Answer:
12a + 8b < 120c
Step-by-step explanation:
to write the inequalities, you have to label the variables. Lets let a be the yard work, b be the work at the family resteraunt, and c be the total hours of work. You would get an equation of:
12a + 8b < 120c
Also I apologize, I do not know how to graph this equation in a type box
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
Answers
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Does anyone know these answers?
Answers
Answer:
A
Step-by-step explanation:
We know the answer to the first question is 3 because GC, FB, HD are parallel to AE, so we can eliminate choices B and C, we know D is incorrect because the answer to the third question is 4
Answer:
A. 3, 3, 4Step-by-step explanation:
Parallel segments to AE are:
BF, CG, DH ⇒ 3Parallel segments to EF:
AB, CD, GH ⇒ 3Segments intersecting with EF under right angle:
AE, EG, BF, GH ⇒ 4Correct choice is A
Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.
Required:
1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.
2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).
Compute:
a) The expected percentage increase in net operating income for next year.
b) The expected total dollar net operating income for next year.
Answers
The expected total dollar net operating Income for next year = $70,000
1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:
Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000
Variable expenses (15,000 × $6) = $90,000
Contribution margin = $210,000
Fixed expenses = $182,000Net operating income = $28,000
Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)
The expected percentage increase in net operating income for next year:
The expected sales in next year = 18,000
games selling price per game = $20
Therefore, Total sales revenue = 18,000 × $20 = $360,000
Variable expenses = 18,000 × $6 = $108,000
Fixed expenses = $182,000
Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses
= $360,000 – $108,000 – $182,000= $70,000
The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%
The expected total dollar net operating income for next year = $70,000
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Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answers
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
3=5/(2-X), solve for x
Answers
The solution for x in the equation 3 = 5/(2 - x) is 11/3
How to determine the solution for x in the equationFrom the question, we have the following parameters that can be used in our computation:
3 = 5/(2 - x)
Cross multiply the equation
so, we have the following representation
3(2 - x) = 5
This gives
2 - x = 5/3
So, we have
x = 2 + 5/3
Evaluate the sum of the like terms
x = 11/3
Hence, the solution for x in the equation is 11/3
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What is the perimeter, in units, of ΔABC Δ A B C with A(−1,−6) A B(7,−6), and C(3,−3)
Answers
Answer:
the perimeter in unites of abc with 3, -3 is a
Answer:
18 Units
Step-by-step explanation:
According to the calculator
One bucket of gravel has a mass of 7.05 KG. What is the mass of 20 buckets of gravel in kilograms?
Is it either
A 14.1 KG
B 150 KG
C 27.05 KG
Or
D 141 KG
Answers
Answer:
D: 141 KG
Step-by-step explanation:
7.05 x 20 = 141
Just multiply the mass of the object by however many objects there are if they all weigh the same.
HELP ASAP
What is the volume of a rectangular prism with a length of twelve and one-fourth yards, a width of 6 yards, and a height of 7 yards?
two hundred fifty-seven and one-fourth yd3
four hundred two and one-half yd3
five hundred fourteen and one-half yd3
805 yd3
Answers
the volume of the rectangular prism is 514.5 cubic yards. use volume of rectangular prism formula to get answer .
what is rectangular prism ?
A rectangular prism is a three-dimensional shape that has six rectangular faces, with each pair of opposite faces being congruent and parallel. It is also called a rectangular parallelepiped or a rectangular cuboid.
In the given question,
To find the volume of a rectangular prism, we need to multiply the length, width, and height of the prism.
Here, the length of the rectangular prism is 12 and 1/4 yards, the width is 6 yards, and the height is 7 yards. We need to convert the length to yards before we can calculate the volume.
12 and 1/4 yards = 49/4 yards
Now we can find the volume by multiplying:
Volume = length x width x height
Volume = (49/4) yards x 6 yards x 7 yards
Volume = (49/4) x 6 x 7 cubic yards
Volume = 514.5 cubic yards
Therefore, the volume of the rectangular prism is 514.5 cubic yards.
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A clothing store sells 30 shirts a day for $20 each. The clothing store's daily shirt revenue is A) $500 B) $5,000 C) $600 D) $6,000
Answers
The answer will b C) $600. This is because they sell 30 shirts a day for $20 each, so you will do 30 x 20.