Answer:
x = [tex]\frac{bc}{a+2b}[/tex]
Step-by-step explanation:
x(a + b) = b(c - x) ← distribute parenthesis on both sides
ax + bx = bc - bx ( add bx to both sides )
ax + 2bx = bc ← factor out x from each term on the left side
x(a + 2b) = bc ← divide both sides by (a + 2b)
x = [tex]\frac{bc}{a+2b}[/tex]
Carlos is going on a boat tour. The boat will travel a total distance of 35 kilometers during the 7-hour tour.
If the boat travels at a constant speed during the tour, what distance in kilometers should the boat travel in 3 hours?
458 divided by 31 using compatible numbers
14.77
458 / 31 = 14.77
It is actually a rational answer meaning it continues to go in terms (and doesn't stop) so I only included the smallest decimal degits in the answer.
Answer: 14
Step-by-step explanation:
0 1 4
3 1 ⟌ 4 5 8
- 0
4 5
- 3 1
1 4 8
- 1 2 4
2 4
Pls help with part b (pretend the work there isn’t there because it’s wrong)
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point- slope form is y + 1= 2/3 (x -8)
Answer:
2x - 3y = 19
Step-by-step explanation:
y=(-5--1)/(2-8)*(x -8)+-1
y=-4/-6(x-8)-1
3y=2x-16-3
3y=2x-19
2x-3y=19
What happens to the median of the data set
{10, 2, 8, 9, 5, 2, 6} if the number 12 is added to the data set?
A. The median increases by 2.
B. The median decreases by 1.
C. The median does not change.
D. The median increases by 1.
Answer:
D
Step-by-step explanation:
Median- The average
The average can be found by adding the numbers together and dividing by the amount of numbers, in this case that would be 7. 10+2+8+9+5+2+6=42. 42÷7= 6. So the average before 12 is 6. 42+12 is the total adding that 12 and would equal 54. 54÷8=6.75, averaging out to 7. The average increased by about 1. So, the answer is D.
Answer: D. The median increases by 1.
Step-by-step explanation: This is correct.
Evaluate the following expression.
53
Enter the answer
Answer:
125
Step-by-step explanation:
5^3 = 5 ✕ 5 ✕ 5, and 5 ✕ 5 ✕ 5 = 125
Hope this helps :)
Answer:
125
Step-by-step explanation:
all you have to do is 5*5*5. so multiply the number that many times it tells you on the exponent.
what ratio is equivelant to 5 : 4
Answer:
1.25 to 1
Step-by-step explanation:
5/4 = 1.25 4/4 = 1 So the ratio is 1.25 to 1
A bag has 2 blue marbles and 16 red marbles. half of the red marbles are made of plastic. a marble is selected a random from the bag what is the possibility that it is a red plastic marble 
there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles
there are 18 marbles in total
8/18
Answer:
1/9 or 11.1%
Step-by-step explanation:
16 out of 18 are red
1/8 are red plastic
16/18 x 1/8 = 16/144 or 1/9
can someone give me the answers please?
Answer:
6. slope= -4/5 Y-intercept is 3
7.
a.y=-2x
b.y=1x+1
c.5/2x-1
d.y=4x+3
e.y=-3/2x-5
Step-by-step explanation:
(4.03 MC) the table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal / number of cup of raisins
8 4
10 5
12 6
8 : 2
8+ 4 = 12 2 + 1 = 3
12 : 3
12 + 4 = 16 3 + 1 = 4
16 : 4
16 + 4 = 20 4 + 1 = 5
20 : 5
20 + 4 = 24 5 + 1 = 6
24 : 6
24 + 4 = 28 6 + 1 = 7
28 : 7
28 + 4 = 32 7 + 1 = 8
32 : 8
32 + 4 = 36 8 + 1 = 9
36 : 9
36 + 4 = 40 9 + 1 = 10
40 : 10
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.
Have a great day/night! :D
what is a fraction between 2/3 and 4/7
Answer:
3/5
Step-by-step explanation:
it is between 2/3 and 4/7
What is the factored form of 42 + 63?
Answer:
3 * 5 * 7
when i say * i mean the multiplication sign.
Step-by-step explanation:
Just ask. <3
(✿◡‿◡) HAPPY HOLIDAYS!!!
:D
Answer:
The GCF of 42 and 63 is 21. To calculate the greatest common factor (GCF) of 42 and 63, we need to factor each number (factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42; factors of 63 = 1, 3, 7, 9, 21, 63) and choose the greatest factor that exactly divides both 42 and 63, i.e., 21.
Step-by-step explanation:
How would 10% be written as a fraction?
1/10
10% is 10/100 which simplifies to 1/10
Answer:
1/10
Step-by-step explanation:
it would be 1/10. reduce the fraction by 10
Talon read 30 pages last night in 20 minutes. If Drake read twice as fast, what was Drake's reading speed?
Answer:
3m/s
Step-by-step explanation:
s=v/ts=60/20s=3m/s{x|x is an odd integer between -3 and 7}
Answer:
x={-1,1,3,5}
Step-by-step explanation:
x={-1,1,3,5}
Pls pls pls pls pls pls pls pls ahh
Answer:
DO YOURE WORK!
Step-by-step explanation:
Please.
Which of the following is described below?
This object goes forever in opposite
directions. It is infinitely skinny, as it is a
set of points that are all lined up.
A. Point
B. Line
C. Ray
D. Segment
Answer:
B. line
Step-by-step explanation:
A line would fit this description best. A ray wouldnt work because it goes on infinitely in one direction. A point wouldnt work because it is a dot that marks a location, and a segment is bound by 2 points, and cannot go on forever.
The given description would be best fitting to a "line", which is the correct answer would be an option (B).
What is the line?A Line is formed by a set of points traveling in a straight line but in opposite directions. It has no breadth, no depth (curvature), and no termination, which implies 'it will not finish,' hence it moves in a straight line in opposing directions indefinitely.
This object goes forever in opposite directions. It is infinitely skinny, as it is a set of points that are all lined up.
This description would be best suited to a line.
A ray would not operate since it extends in one direction indefinitely. A point would not work since it is a dot that indicates a position, but a segment is constrained by two points and cannot continue indefinitely.
Hence, the correct answer would be an option (B).
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ2
19. Ram and Rahim are partners in a firm sharing profits in the ratio of 3: 2. Kabir is admitted as a partner for 1/5th share of profits. Machinery would be appreciated by 10% (Book Value of 80,000) and Building would be depreciated by 20% (Book Value of 2,00,000). Unrecorded Debtors of 1,250 would be brought to books. There is a liability of 2,750 included in Sundry Creditors that is not to be paid. What will be the Gain (Proñt Loss on revaluation? (a) Loss of 28,000. (c) Profit 28,000. (6) Loss 40,000. (d) Profit of 40,000.
Answer:
make me brainlist
Step-by-step explanation: firm sharing profits and losses in the ratio of 3
2. From Ist April, 2020 they decided to share the future profits equally. On this date, the General Reserve
showed a balance of 1,60,000; Revaluation of fixed assets resulted into a gain of "1,02,000 and stock resulted
to a loss of 22,000. On this date, the goodwill of the firm was valued at $3,60.000
Pas necessary journal entries for the above transactions on reconstitution of the form
Bolutions
Does a quadratic polynomial have a degree of to
Answer:
Idioet duh it does.
Step-by-step explanation:
Based on paragraph 2 of this speech excerpt, what was
President Kennedy's position on the expense of the space
program?
Answer:
Please give me Brainliest!
Step-by-step explanation:
President Kennedy's position on the expense of the space program was that it would be well worth the high cost.
Explanation:
The general sentiment of the 1960s was extremely in favor of the space race and the Us was heavily invested in the exploration of the space even as the costs for doing so were soaring exorbitantly high.
The President understood this and so did not want to tinker with the hopes and aspirations of the common people who had come to love these efforts.
These efforts were also a matter of great national pride and thus seen well worth the cost they incurred on the people and the tax-paying part of the country.
The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).
Part A: For the -5.3, 1 it would be located in Quadrant Q because even though it just goes to -4 and 4 I can extend the grid in my head and that's how I was able to figure out.
Step-by-step explanation:
Add. 34.700 + 98.428 98.775 132.435 132.980 133.128
Answer:
34.700+98.42+98.775+132.435+132.980+133.128
n applicant receives a job offer from two different companies. Offer A is a starting salary of $58,000 and a 3% increase for 5 years. Offer B is a starting salary of $56,000 and an increase of $3,000 per year.
Part A: Determine whether offer A can be represented by an arithmetic or geometric series and write the equation for An that represents the total salary received after n years. Justify your reasoning mathematically. (3 points)
Part B: Determine whether offer B can be represented by an arithmetic or geometric series and write the equation for Bn that represents the total salary received after n years. Justify your reasoning mathematically. (3 points)
Part C: Which offer will provide a greater total income after 5 years? Show all necessary math work. (4 points)
The amount provided by each offer after each year depends on the first
salary and the added amount or percentage series.
Part A: Offer A can be represented by a geometric seriesThe salary received after n years is Aₙ = 58,000·1.03⁽ⁿ ⁻¹⁾Part B: Offer B can be represented by an arithmetic seriesThe equation for the salary after n years is Bₙ = 58,000 + (n - 1)×3,000Part C: The offer that will provide a greater income after 5 years is offer B, with an income of $70,000Reasons:
The given parameters of the job offers are;
Starting salary of offer A = $58,000
Amount by which the salary increases for 5 years = 3%
The starting salary offer B = $56,000
Amount by which the salary increases per year = $3,000
Part A: The salary amount received in the first month = $58,000
The salary in the second month, aₙ = 58,000 × (1 + 0.03)
a₂ = 58,000 × (1 + 0.03) = 58,000 × (1.03)
The salary in the third month is given as follows;
a₃ = a₂ × (1.03) = 58,000 × (1.03) × (1.03) = 58,000 × (1.03)²
The salary on the nth month is therefore;
aₙ = 58,000 × (1.03)⁽ⁿ⁻¹⁾
The above formula is in the form of the geometric series formula, which is presented as follows;
aₙ = a·r⁽ⁿ⁻¹⁾
Where;
a = The first term = 58,000
r = The common ratio = 1.03
n = The number of years
Therefore;
Offer A can be represented by an arithmetic series
Part B: The first year salary for offer B = $58,000
The salary on the second year, B₂ = 58,000 + 3,000 = 61,000
Salary on the third year, B₃ = 58,000 + 3000 + 3000 = 58,000 + 2 × 3,000
Therefore;
Salary on the nth year, Bₙ = 58,000 + (n - 1)×3,000
The above equation is in the form of aₙ = a + (n - 1)·d
Where;
a = The first term = 58,000
n = The number of years
d = The common difference = 3,000
Therefore;
Offer B can be represented by an arithmetic series
Part C: The income gained on offer A after 5 years, a₅, is given as follows;
a₅ = 58,000 × (1.03)⁽⁵ ⁻ ¹⁾ = 58,000 × 1.03⁴ ≈ 65,279.51098
The income gained on offer A after 5 years ≈ $65,279.51098
On offer B, we have;
a₅ = 58,000 + (5 - 1) × 3,000 = 70,000
The income gained on offer B after 5 years = $70,000
Therefore;
After 5 years, the income offered by offer B is greater than the income offered by offer A.Learn more about arithmetic and geometric series here:
https://brainly.com/question/2735005
In the year 2016, the population of the U.K. was about
20.3% of the U.S. population. In 2016, the U.S.
population was about 323.4 million. What was the
approximate population of the U.K. in 2016?
15.9 million
627.7 million
303.1 million
65.7 million
Step-by-step explanation:
65 million. of was 15 million it would be lower percentage and the other two are too high for 20 percent
p-3 1/5=7 1/3 I need help
We have:
[tex]p-3\frac{1}{5} =7\frac{1}{3} => p=7\frac{1}{3}+3\frac{1}{5}= 10\frac{8}{15}[/tex]
ok done. Thank to me :>
Ella is reading a map with a scale of 1 in. = 20 mi. On the map, the distance Ella must drive is 4.25 in.
How many miles will Ella drive?
Answer:
85 milesStep-by-step explanation:
Solve by proportions:
1 in ⇒ 20 mi4.25 in ⇒ xx = 4.25*20 / 1 = 85 mi
Scale is 1in =20mi
Distance in map=4.25in
Actual distance
4.25(20)85mi3(x+9)-4x=11x-13x+23
Answer:
[tex]\huge\boxed{x=-4}[/tex]
Step-by-step explanation:
[tex]3(x+9)-4x=11x-13x+23\\\\(3)(x)+(3)(9)-4x=(11x-13x)+23\\\\3x+27-4x=-2x+23\\\\(3x-4x)+27=-2x+23\\\\-x+27=-2x+23\qquad|\text{subtrsact 27 from both sides}\\\\-x=-2x-4\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x=-4[/tex]
Which of the following have a sum of 0? (Pick 2) *
1:The football team gained 10 yards on the first play, gained 10 yards on the second play, and lost 10 yards on the third play. What was the overall change in yardage?
2: While playing the integer game, Sam pulled the following cards: 8, 4, 5, -6, -8, -3. What is the sum of Sam's hand?
3: -15 - 8 + 12 + 11
4: 6 + (-5) - 7 + (-4) + (-4)
Answer:
The answer is number 3.
Step-by-step explanation:
-15 - 8 = -23
12 + 11 = 23
When you subtract -23 from 23 you have a sum of 0
Therefore the answer is 0
The probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941. If an insurance company sells a one-year, $12,000 life insurance policy to such a person for $495, what is the company's expectation
The company's expectation is $486.26.
Since the probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941, to determine, if an insurance company sells a one-year, $ 12,000 life insurance policy to such a person for $ 495, what is the company's expectation, the following calculation must be performed:
(12000 x 0.069941 / 100) + (495 x (100 - 0.069941) / 100) = X -8.39292 + 494.65379205 = X 486.26 = X
Therefore, the company's expectation is $486.26.
Learn more about maths in https://brainly.com/question/3554632
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
Step-by-step explanation:
a² + b² = c²
12² + b² = 15²
b² = 225 - 144
b² = 81
b = 9