The question is asking for the solution to the algebraic problem 12 + 8k = 48. By isolating 'k', it is found that the value of 'k' is 4.5.
Explanation:The problem presented here belongs to the branch of algebra. It is showing a relationship between the sum, multiplication, and is presented in a typical algebraic equation format. Let's break it down:
The sum of 12 and a number (which is 8 times k) is equal to 48. This can be written in equation form as:
12 + 8k = 48
To find the value of k, we need to isolate 'k' in the equation. First, subtract 12 from both sides of the equation:
8k = 48 - 12
Then, simplify the right side:
8k = 36
Finally, divide both sides by 8 to solve for k:
k = 36 / 8
So, k = 4.5.
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the perimeter of a trapezoid is 39a-7. Three sides have the following lengths: 9a, 5a-1, and 17a-6. What is the length of the fourth side
y=4x-9
y=x-3
asking another question
appreciate any answers
edit: find x and y
(x,y)
Jones is the chairman of a committee. in how many ways can a committee of 5 be chosen from 10 people given that jones must be one of them?
Final answer:
A committee of 5 can be chosen in 126 different ways from 10 people if Jones must be one of them, by using the combination formula C(9, 4) to choose the remaining four committee members from the other nine people.
Explanation:
To determine in how many ways a committee of 5 can be chosen from 10 people given that Jones must be one of them, we need to apply the concept of combinations in probability and combinatorics. Since Jones must be on the committee, we are actually choosing the remaining 4 members from the remaining 9 people.
The number of ways to choose 4 people out of 9 is calculated using the combination formula, which is:
C(n, k) = n! / (k!(n - k)!), where n is the total number of items, k is the number of items to choose, and '!' denotes factorial.
Applying this to our scenario:
C(9, 4) = 9! / (4! * (9 - 4)!) = 126
Therefore, there are 126 different ways to form the committee if Jones is already chosen as one member.
I need it asap!!!! Plz help 20 POINTS USED PLZ PLZ ASAP
What integer is closest to 13/3 divided by 2/11
Please give ur answer as a simplest fraction not a mixed number
Thanks
the base of a side of a ramp is 3 meters, and the height is 0.6 meters. what is the area of the triangular side of the ramp in square meters
area = base x height divided by 2
3*0.6 = 1.8/2=0.9 square meters
This chart shows the total average monthly cost of medical insurance benefits for employees working in the private sector in march 2006. for single coverage, the cost is $322.77, and for family coverage, it is $889.26. if an employee makes $10 per hour (after withholdings) and has to pay the full cost of single coverage medical insurance, about how many hours will he or she have to work each month simply to pay for the cost of the medical insurance
Final answer:
the employee would need to work approximately 32.3 hours per month to pay for their health insurance.
Explanation:
The student has inquired about the number of hours they would need to work each month to pay for the cost of single coverage medical insurance.
Given that the insurance costs $322.77 per month and the employee earns $10 per hour, we can find the number of hours required by dividing the total cost of the insurance by the hourly wage.
To calculate:
Hours required = Total cost of insurance ÷ Hourly wage
Hours required = $322.77 ÷ $10 = 32.277
Therefore, the employee would need to work approximately 32.3 hours per month (rounding to the nearest tenth of an hour) to pay for their health insurance.
HELP! 20 POINTS!!! Graph the system of inequalities on your paper. Please provide only one ordered pair (x, y) that will work for both system of inequalities.
To earn full credit you must prove your answer by substituting the (x, y) order pair into both inequalities. Show all work for each inequality.
y < 4x + 3
y > -3x - 3
What is the inverse of 2x-6y=1
In the diagram below, is an altitude of DEF. What is the length of ? If necessary, round your answer to two decimal places.
What is the measure of JL
A: 84 degrees
B: 42 degrees
C: 96 degrees
D: 168 degrees
The measure of arc JL is 168.
Option D is the correct answer.
What is the arc length of a circle?
The arc length of a circle is the distance between two points on the curve of the circle.
We have,
The angle subtended by the minor arc on the circle is half of the arc length.
So,
∠JKL = 84°
The length of arc JL.
= 2 x 84
= 168
Thus,
The length of arc JL is 168.
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What is the value of SM
9/15 = 12/x =
x = 180/9 = 20
answer is 20
What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2?
The sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2 is 5.9765625
Sum of geometric seriesSeries are the sum of sequences. The sum of geometric series is expressed as:
Sn = a(1-r^n)/1-r
Given the following
n = 8
a = 3
r = 1/2
Substitute
S8 = 3(1-(1/2)^8)/0.5
S8 = 3(1-1/256)/0.5
S8 = 3(255/256)/0.5
S8 = 5.9765625
Hence the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2 is 5.9765625
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Give an example of a compound inequality that has no solution
An example of a compound inequality that has no solution:
x >5 and x < -4.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
|____|____|____|____|____|____|____|____|____|____|
-5 -4 -3 -2 -1 0 1 2 3 4 5
Here is an example of a compound inequality that has no solution:
x >5 and x < -4.
x may be both higher than 5 and less than -4.
Here it is not possible that x can be both lower than -4 and larger than 5.
Hence, these inequalities have no solution.
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Amal had 12 stuffed animals and gave 3 over 4 of them to charity. Maria had 6 stuffed animals and gave 1 third to charity Who had the most stuffed animals left?
express 7x^3/4 in radical form
Answer:
7/34
Step-by-step explanation:
2p2+3p-4 less -2p2-3p+4
Answer:
[tex]4p^{2}+6p-8[/tex]
Step-by-step explanation:
Being a subtraction of polynomials, the second polynomial will change the signs of its terms and then the algebraic sum is done.
[tex]2p^{2} -3p-4 - (-2p^{2} -3p+4)[/tex]
changing the signs
[tex]2p^{2} -3p-4 +2p^{2}+3p-4[/tex]
performing indicated operations
[tex]4p^{2}+6p-8[/tex]
Choose the correct description of the graph of the compound inequality: 3x + 2 > 5 and 3x less than or equal to 9 A:number line with an open circle on 1, shading to the left, and a closed circle on 3, shading to the right B:number line with a closed circle on 1, shading to the left, and an open circle on 3, shading to the right C:number line with a closed circle on 1, an open circle on 3, and shading in between D:number line with an open circle on 1, a closed circle on 3, and shading in between
Answer:
Step-by-step explanation:
D
how would the expression x^3-3√(3) be rewritten using difference of cubes
Answer:
[tex]x^{3}-(\sqrt{x} )^3[/tex]
Step-by-step explanation:
The given expression is x³ - 3√3
We have to rewrite the expression in the forem of difference of cubes.
x³ - 3√3 = x³ - √(3)³
= [tex]x^3-(3)^{\frac{3}{2}}[/tex]
= [tex]x^{3}-(\sqrt{x} )^3[/tex]
Therefore, we can rewrite the expression as
[tex]x^{3}-(\sqrt{x} )^3[/tex]
PLEASE HELP ME FIGURE THIS OUT if i have 6 questions on a test, how many would i get wrong to get a score of 48%
Answer the word problem:
Taylor and Blair are driving away from each other in opposite directions. If Blairs speed is 70mph and Taylors speed is 80mph, how many hours will it be before the two are 225 miles apart?
It will take 1.5 hours (or 1 hour and 30 minutes) before Taylor and Blair are 225 miles apart.
To find out how many hours it will be before Taylor and Blair are 225 miles apart, we can set up an equation based on the distance they travel.
Since they are driving away from each other in opposite directions, their distances add up to the total distance they will be apart.
Let t be the number of hours it takes for them to be 225 miles apart.
Distance traveled by Blair = Blair's speed * time (d = r * t)
Distance traveled by Taylor = Taylor's speed * time (d = r * t)
The total distance they will be apart is 225 miles:
Blair's distance + Taylor's distance = 225 miles
(70 mph * t) + (80 mph * t) = 225 miles
Now, solve for t:
70t + 80t = 225
150t = 225
t = 225 / 150
t = 1.5
So, it will take 1.5 hours (or 1 hour and 30 minutes) before Taylor and Blair are 225 miles apart.
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where does the line y = 3x + 5 cross the y-axis
Does anyone know how to make these statements false with a counterexample? 1) The reciprocal of each natural number is a natural number. 2) The opposite of each whole number is a whole number. 3) There is no integer that has a reciprocal that is an integer.
Justin is evaluating the expression 12.5 + 3.8x, when x is 7.9
Answer:
Justin should have Multiplied 3.8 and 7.9 first
Step-by-step explanation:
Because all these people that have the wrong answer got me mad
Justin should have multiplied 3.8 and 7.9 first. Therefore, option C is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 12.5 + 3.8x.
When x=7.9 in the given expression, we get
12.5+3.8(7.9)
= 12.5+30.02
= 42.52
Justin should have multiplied 3.8 and 7.9 first. Therefore, option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Justin is evaluating the expression 12.5 + 3.8x, when x is 7.9.
12.5+3.8(7.9)
16.3(7.9)
128.77
What was Justin's error?
1) Justin should have multiplied 12.5 and 7.9 first.
2) Justin should have added 12.5 and 7.9 first.
3) Justin should have multiplied 3.8 and 7.9 first.
4) Justin should have added 3.8 and 7.9 first.
A conjecture becomes a theorem after it has been proven true by logic.
True or False
True, A conjecture becomes a theorem after it has been proven true by logic.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The sentence is,
''A conjecture becomes a theorem after it has been proven true by logic.''
Now, We know that;
Conjectures are unproven claims.
Hence, Once someone proves a conjecture, it is called a theorem.
Thus, A conjecture becomes a theorem after it has been proven true by logic.
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what is the length of the side of a square if the apothem is 7
The coordinate plane below represents a town. Points A through F are farms in the town.
graph of coordinate plane. Point A is at 1, 3. Point B is at 3, 1. Point C is at 3, negative 3. Point D is at negative 4, 2. Point E is at negative 1, 5. Point F is at negative 3, negative 3.
Part A: Using the graph above, create a system of inequalities that only contains points D and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)
Part B: Explain how to verify that the points D and E are solutions to the system of inequalities created in Part A. (3 points)
Part C: Chickens can only be raised in the area defined by y > 3x − 4. Explain how you can identify farms in which chickens can be raised. (2 points)
A company has an opportunity to bid on three contracts. Determine which would be the best investment given the information in the table below.
CONTRACT
PROFIT, (P)* OF PROFIT...(P)*. TO BREAK EVEN...LOSS, (P)* OF LOSS
Southeast
$45,000, 50%...30%...$6,000, 20%
Southwest
$60,000, 35%...40%...$10,000, 25%
California
$112,000, 20%...40%...$40,000, 40%
*(P)=PROBABILITY
a) Southeast
b) Southwest
c) California
d) All contracts include a probability for loss
CONTRACT PROFIT, (P)* OF PROFIT...(P)*. TO BREAK EVEN...LOSS, (P)* OF LOSS
Southeast $45,000, 50% 30% $6,000, 20%
Southwest $60,000, 35% 40% $10,000, 25%
California $112,000, 20% 40% $40,000, 40%
I think that the best contract would be with SOUTHEAST. It probability of having a profit is higher than the other two at 50% while its probability of incurring a loss is lesser than the other two at 20%.
Despite the bigger value of its contract profit of the other two, these value will still be greatly affected by its corresponding probabilities.
Answer:
It's A. Southeast
Step-by-step explanation:
WILL GIVE A BRAINLIEST IF YOURE RIGHT PLEASE HELP ASAP!!
Find the greatest possible error for each measurement.
18.9 m
a.
0.01 m
b.
0.5 m
c.
9.45 m
d.
0.05 m
the greatest possible error for meters is 1/2 the increments
since 18.9 is to the tenths place
1/2 x 1/10 = 0.05
so greatest possible error for 18.9 is 0.05m
When j = 32, m = 2, and p = 1/4. If j varies directly with m and inversely with p, what is the constant of variation?
When j = 32, m = 2, and p = 1/4. If j varies directly with m and inversely with p, The k is the constant of variation that is 4.
What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
When j = 32, m = 2, and p = 1/4. If j varies directly with m and inversely with p
j = mk/p
where k is the constant of variation.
32 = 2 x k / (1/4)
Multiply both sides by 1/4.
8 = 2k
Divide both sides by 2.
4 = k
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A car moved at a constant velocity during the first hour. It stopped for 2 hours at a mall and then moved ahead again at a constant velocity for the next 3 hours. The car finally returned to its starting point with a constant velocity in the next 2.5 hours. Which of the following graphs best represents the car's motion?
First straight line joins ordered pairs 0, 0 and 1, 60, second straight line joins 1, 60 and 3, 60, third straight line joins 3, 60 and 6, 30 and fourth straight line joins 6, 30 and 8.5, 0
First straight line joins ordered pairs 0, 0 and 1, 60, second straight line joins 1, 60 and 3, 60, third straight line joins 3, 60 and 6, 100 and fourth straight line joins 6, 100 and 8.5, 0
First straight line joins ordered pairs 0, 0 and 1, 60, second straight line joins 1, 60 and 3, 60, third straight line joins 3, 60 and 6, 100 and fourth straight line joins 6, 100 and 9.5, 0
First straight line joins ordered pairs 0, 0 and 1, 60, second straight line joins 1, 60 and 6, 100, and third straight line joins 6, 100 and 8.5, 0
Answer:
First straight line joins ordered pairs 0, 0 and 1, 60; second straight line joins 1, 60 and 3, 60; third straight line joins 3, 60 and 6, 100; and fourth straight line joins 6, 100 and 8.5, 0.
Step-by-step explanation:
Starting at home is starting at (0, 0).
Traveling at the same velocity for an hour will connect (0, 0) to (1, 60).
Stopping at the mall for 2 hours will connect (1, 60) to (3, 60).
Going ahead again at a constant velocity for 3 hours will connect (3, 60) to (6, 100).
Returning to the starting point for 2.5 hours will connect (6, 100) to (8.5, 0).