Answers
Answer:
The original length of the new candle is 10 inches
Step-by-step explanation:
The form of the linear function is y = m x + b, where
m is the slope of the lineb is the y-intercept value y at x = 0∵ L represents the length of the candle remeaning unburned in inches
∵ t represents the time after the candle was lit in hours
∵ The relationship between L and t is linear
→ Put it in the form of the equation above
∴ L = m t + b, where b is the original length of the new candle
→ Use the table to find m
∵ m = [tex]\frac{L2-L1}{t2-t1}[/tex]
∵ (1, 9) and (6, 4) are two points in the given table
∴ t1 = 1 and L1 = 9
∴ t2 = 6 and L2 = 4
→ Substitute them in the rule of m above
∵ m = [tex]\frac{4-9}{6-1}[/tex] = [tex]\frac{-5}{5}[/tex] = -1
∴ m = -1
→ Substitute it in the equation above
∵ L = -1(t) + b
∴ L = -t + b
→ To find b substitute t by 1 and L by 9
∵ 9 = -(1) + b
∴ 9 = -1 + b
→ Add 1 to both sides
∵ 9 + 1 = -1 + 1 + b
∴ 10 = b
∵ b is the original length of the new candle
∴ The original length of the new candle is 10 inches
Related Questions
2ab+a^2b-2b-ab please factor it
Answers
Answer:
b(a+2)(a-1)
Step-by-step explanation:
b(2a+a^2-2-2-a)
Answer:
b (a + 2) (a - 1)
Step-by-step explanation:
1. First you need to factor out b from the equation because it is the one factor that they all have in common.
2ab + a²b - 2b - ab
b (2a + a² - 2 - a)
2. Then you just factor 2a + a² - 2 - a and remember the b
b (2a + a² - 2 - a)
b (a + 2) (a - 1)
check your answer:
b (a + 2) (a - 1)
b (a²- a + 2a - 2)
a²b - ab + 2ab - 2b
2ab + a²b -2b - ab
hope this helps!!
A company has 40 executives and 120 customer service representatives. If these are the only
employees, what percentage of the employees are executives? Explain how you determined the
percentage of employees are executives.
Answers
Answer:
25%.
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of Executives = 40
Number of customer service representatives = 120
Percentage of the employees that are executives =?
Next, we shall determine the total number of employees in the company. This can be obtained as follow:
Number of Executives = 40
Number of customer service representatives = 120
Total number of employees =?
Total number of employees = (Number of Executives) + (Number of customer service representatives)
Total number of employees = 40 + 120
Total number of employees = 160
Finally, we shall determine the percentage of the employees that are executives as follow:
Number of Executives = 40
Total number of employees = 160
Percentage of the employees that are executives =?
Percentage = Number of Executives/ total employees × 100
Percentage = 40/160 × 100
Percentage = 0.25 × 100
Percentage = 25%
Therefore, the percentage of the employees that are executives is 25%
A pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind
Answers
Answer:
20
Step-by-step explanation:
pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind
The speed can be defined as the ratio distance over time, but in this case the pilot is flying at the speed of the plane as well of speed of the wind. We can denote speed of plane as "s" and speed of the wind as "k"
Then the speed of the plane=(s-k) this is because it is moving in the opposite direction of the wind.
But From the question, the plane distance=400mile and the corresponding time =2.5 h
Then the speed of the plane=(s-k) =400mile/2.5
=160mph
By the time it return from trip, the speed the plane flew with is (s+k) because the wind is at the rear.
From the question, the plane distance=400mile and the corresponding time =2 h
Then (s+k)= (400/2)
(s+k)=200mph
HELP IS FOR A TEST IF I FAIL MY MOM WILL MAKE ME MOVE SCHOOL· One gym charges an initial fee of $30 and a monthly fee of $10. · The other gym charges a monthly fee of $12. Which equation could be used to find out how many months, m, it would take for both memberships to cost the same? A. 12m + 30 = 10m + 30 C. 10m = 12m 12m + 30 = 10m B. 10m + 30 = 12m
Answers
Answer:
10m +30=12m
Step-by-step explanation:
y=10x +30
y=12x
9x + 11 = 110
what is x ?
Answers
Answer:
x = 11, lucky you, this stuff is easy
Step-by-step explanation:
110 - 11 = 99
9 x 11 = 99
99 + 11 = 110
Answer:
x = 11
Step-by-step explanation:
9x + 11 = 110
- Pass the 11 to the other side of the equation (grouping similar terms) and then perform the following operation:
9x = 110 - 11
9x = 99
- Now we have to obtain x by dividing 9 on both sides of the equation:
(9/9)x = 99/9
x = 99/9, which is divisible by 11.
Evaluate the expression 2x-5 when x=3
Answers
Answer:
1
Step-by-step explanation:
as x=3
we substitute x with 3
so 2(3)-5
and 2(3) Is 6
so we do 6-5 which is 1
Answer: The answer is 1
Step-by-step explanation:
Which one is correct
Answers
Answer:
7
Step-by-step explanation:
Answer:
7 m
Step-by-step explanation:
We see that the the side measuring 6 m corresponds to the side measuring 18 m. Also, the side measuring 8 m corresponds to the side measuring 24 m. In each case, the corresponding side of the right triangle is 3 times larger than the side of the left triangle. We divide 21 m by 3 to get 7 m.
Answer: 7 m
solve the system equation
x-2y=27
y=5x
A (-4,-20)
B (3,25)
C (-3,-16)
D (-3,-15)
Answers
We will use substitution to solve this system for x.
[tex]x - 2y = 27\\y = 5x\\\\x - 2(5x) = 27\\\\x - 10x = 27\\\\-9x = 27\\\\x = -3[/tex]
Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.
[tex]-3 - 2y = 27\\\\-2y = 30\\\\y = -15\\[/tex]
We now have our solution.
D. [tex](-3, -15)[/tex]
We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.
[tex]-3 - 2(-15) = 27\\\\-3 + 30 = 27\\\\27 = 27[/tex]
Since the equation checks out, our solution is correct.
Divide the polynomials. Your answer should be in the form p(x) + k/x where p is a polynomials and k is an integer. 4x^4-x^2+3/x
Answers
Answer:
Step-by-step explanation:
4[tex]x^{4}[/tex]-x²+3 / x =
So, we need to think about this problem as either what we have to multiply x by to get the equation, and do long division
= 4x³- x + [tex]\frac{3}{x}[/tex]
Miguel drives 295 miles in 5 hours. How many miles does Miguel drive in 7 hours? *
Answers
Answer:
Step-by-step explanation:
If he drives 295 miles in 5 hours that equals to 59 miles in an hour.
So 7 hours at 59 miles per hour is 413 miles.
A) {(0,1),(1,2),(2,3),(3,4),(1,5)}
B) {(0,0),(1,1),(2,4),(3,9),(4,16)}
C) {(-2,4),(-1,1),(0,0),(2,4),(3,9)}
Which one is a function?
And which is is not Non-function?
PLZ ANSWER PLZ 15 POINTS JUST PLZ
Answers
1
X + 5 = -10
(a)
How do I isolate x?
A Add by 5 on both sides
B Subtract by 5 on both sides
Multiply by 5 on both sides
D Divide by 5 on both sides
(b)
X=
Answers
Answer:
Subtract by 5 on both sides.
Step-by-step explanation:
x+5 = -10. if you subtract both sides by 5, you will get x+5-5=-10-5, which can be simplified to x=-15.
I need major help, I don't understand
Answers
Answer:
4, 10, 16, 22
Step-by-step explanation:
Plug in the variables according to the equation
So for the equation f(x)= 3x-2 plug if you were looking for A you would put A for f(x) and 2 where the x is so it would look like
A= 3(2)-2 which is A= 6-2 = 4
If we do the same for all of them then they would look like:
B= 3(4)-2
12-2= 10
C= 3(6)-2
18-2= 16
D= 3(8)-2
24-2=22
So youre basically replacing the f(x) and x by the table chart
I hope this helped :)
14V + 6 = 2(5 + 7V) - 4
Answers
Answer:
0=0
Step-by-step explanation:
The input is an identity: it is true for all values
Tell me if you need an explanation :)
Answer:
V = Any Real Number
Step-by-step explanation:
14V + 6 = 10 + 14V - 4
14V = 14V
Could be any number
What is the value of x in the figure?
400
709
A.
40°
B.
70°
C.
80°
D.
120°
E.
150°
Answers
Answer:
e
Step-by-step explanation:
I need help, this is geometry
Answers
Answer:
∠P = 39º
∠Q=120º
∠R = 21º
Step-by-step explanation:
m∠P+m∠Q+m∠R=180º (sum of ∠s in a triangle)
2x-3+6x-6+x=180º (substitution)
9x-9=180º (algebra)
9x=189º (algebra)
x=21º (algebra) (this is ∠R)
(2x-3)=39º (algebra) (this is ∠P)
6x-6=120º (algebra) (this is ∠Q)
Answer:
∠R = 21°
∠Q = 120°
∠P = 39°
Step-by-step explanation:
Step 1:
6x - 6° + 2x - 3° + x = 180° Sum of a Δ
Step 2:
9x - 9° = 180° Combine Like Terms
Step 3:
9x = 189° Add 9 on both sides
Step 4:
x = 189° ÷ 9 Divide
Step 5:
x = 21°
Step 6:
2 ( 21 ) - 3 = ∠P = 39°
Step 7:
6 ( 21 ) - 6 = ∠Q = 126°
Step 8:
∠R = 21°
Answer:
∠R = 21°
∠Q = 120°
∠P = 39°
Hope This Helps :)
the graph shows the proportion of red and blue food coloring ,that taylor mixes to make purple ,what is the slope of the line ?tell what in the problem situation ,math question
Answers
Answer: nothing
Step-by-step explanation:
Which values of x are solutions to this equation?
х
= 2
O x = 4 or x = 8
O x = 2 or x = 6
O x = -2 or x = 2
OX= -8 or x = 8
Answers
Answer:
X= -8 or x= 8
Step-by-step explanation:
I took the test/quiz
On the last school spirit day, 5 out of every 7 students wore school colors. Based on this information, if 560 students attend the school, write a proportion to determine how many of these students will wear school colors on the next spirit day.
Answers
Answer:400
Step-by-step explanation:
Multiply the total number of students by the ratio given
5/7(560)
how to factor (x^3+3x^2)+(25x+75)
Answers
The ratio of children to adults at the football game was 23. If there were 140 children at the football game,
how many adults were there?
Answers
Answer:
Therefore, the number of adults at the football game was 6.
Step-by-step explanation:
Let A represents the number of adults and C represents the number of children.
Therefore, the ratio of children to adults is given as follows:
23:1 = C:A ....................... (1)
Since C = 140, this is substituted into equation (1) as follows:
23:1 = = 140:A ....................... (2)
Transforming equation (2) and solve for A, we have:
23 / (23 + 1) = 140 / (140 + A)
23 / 24 = 140 / (140 + A)
0.958333333333333 = 140 / (140 + A)
0.958333333333333 (140 + A) = 140
(0.958333333333333 * 140) + 0.958333333333333A = 140
134.166666666667 + 0.958333333333333A = 140
0.958333333333333A = 140 -134.166666666667
0.958333333333333A = 5.833333333333
A = 5.833333333333 / 0.958333333333333
A = 6.08695652173878
Rounding to a whole number, we have:
A = 6
Therefore, the number of adults at the football game was 6.
this is a math equation, solve the inequality for x. please.
Answers
Answer:
X ≤ 0
Step-by-step explanation:
Trust
Hair grows on your head faster than any other place on your body. Sue was interested in figuring out how fast her hair grows so she measured the growth. After 15 days her hair grew 3 mm. After 50 days, it grew 10 mm. If hair growth can be represented by a linear growth, then a) write a function for the growth G(x) as a function of x= number of days b) how long did it take Sue's hair to grow 17 mm?
Answers
mY HAIR dOesNt GRoW FaStEr oN My HHeAD
Can someone please help me with this it would be very much appreciated
Answers
Answer:
I'm not sure what you're asking, but I got x=45
Step-by-step explanation:
x+3x+x+3x=8x=360 degrees
360/8=45 so x=45
50 multiplied by 1,856
Answers
Answer:
92800
Step-by-step explanation:
Brainliest?
Hope this helps
Oliver shot 8 free throws at practice, making 6 free throws and missing 2 free throws. If Oliver equally likely to make a free throw as he is to miss a free throw, find the probability of this outcome by expanding (m + n)8. Round to the nearest percent if necessary.
Answers
Answer: m
8 + 8 m 7 n + 28 m 6 n 2 + 56 m 5 n 3 + 70 m 4 n 4 + 56 m 3 n 5 + 28 m 2 n 6 + 8 m n 7 + n 8
Step-by-step explanation: Just use binomial theorem
The probability of this outcome by expanding (m + n)8 is 4.
What is Probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Given:
Total free shots = 8
Oliver make free shots =6
Oliver missed free shots = 2
As, Oliver wanted the free throw and the free throw he missed turn both equal.
So,
=8 / 2
= 4.
Hence, probability of this outcome by expanding (m + n)8 is 4.
Learn more about probability here:
https://brainly.com/question/12629667
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Find the theoretical probability.
Simplify completely.
Answers
Answer:
[tex] \frac{1}{8} [/tex]
Answer:
The correct answer is 1/4!
Step-by-step explanation:
On Acellus
Have a great day!
A square has sides that measure 6 inches each. What is the ratio of the perimeter of the square to the area of the square?
Answers
Answer:
2 : 3
Step-by-step explanation:
Given the square has a side of 6 in , then
perimeter = 4 × 6 = 24 in
area = 6² = 36 in²
Then ratio of perimeter : area
= 24 : 36 ( divide both parts by 12 )
= 2 : 3
have to find volume and surface area but idk how
Answers
Answer:
volume 1050 [tex]in^{3}[/tex]
surface area 859 [tex]in^{2}[/tex]
Step-by-step explanation:
volume is length times width times height (7*25*12)/2
surface area is area of all the sides added together
2(25*12)+(12*7)+ 2([tex]\frac{7*25}{2}[/tex])
Answer:
Volume = 1008
Surface Area = 840
Step-by-step explanation:
Find the other leg of the right triangle using the Pythagorean theorem. Answer is 24. Google formula for volume, log in answers. Google formula for surface area, log in answers.
The total number of equally-sized tiles on a circular floor
A. Circumference
B.Area
Answers
Answer:
area
Step-by-step explanation:
area............
The total number of equally-sized tiles on a circular floor is Area.
Given that, the total number of equally-sized tiles on a circular floor.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle. It may also be referred to as the total number of square units inside that circle.
Hence, the total number of equally-sized tiles on a circular floor is Area.
Learn more about the area of a circle here:
https://brainly.com/question/28642423.
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