Answers
9514 1404 393
Answer:
A. 6b³
B. 6b +6
C. p = 0.0375(6b³ +b +1)
D. $115.54
Step-by-step explanation:
Given:
3 candles with dimensions b×b×b, b×b×2b, and b×b×3b
with wicks of lengths b+2, 2b+2, 3b+2
wick costs $0.005/cm; wax costs $0.03/cm³
selling price is material cost + 25%
Find:
A. an expression for total volume
B. an expression for total wick length
C. an expression for the purchase price of a set
D. purchase price for a set with base area 64 cm²
Solution:
A. The sum of the volumes of the three candles is ...
v = b³ +2b³ +3b³
v = 6b³
__
B. The sum of the wick lengths is ...
L = (b +2) +(2b +2) +(3b +2)
L = 6b +6
__
C. The selling price is 25% more than the cost of materials so is ...
p = (1.25)(0.03×6b³ +0.005×(6b +6)) = 0.225b³ +.0375b +.0375
p = 0.0375(6b³ +b +1)
__
D. The side of the base is the square root of the base area, so is ...
b = √(64 cm²) = 8 cm
Then the price of a set of candles is ...
p = 0.0375(6·8³ +8 +1) = 0.0375·3081 = 115.54
Purchase price for a candle set with a base area of 64 cm² is $115.54.
Related Questions
59.5 is what percent of 17 ?
Answers
Answer:
350%
Step-by-step explanation:
59.5÷17=3.5
3.5•10=350
350%
In 2008, the number of tourists visiting France was 7.94 x 10^7. The number of tourists visiting Italy was 4.27 x 10^7. Find the difference in the number of visitors.
Answers
Answer:
[tex]36700000[/tex]
Step-by-step explanation:
Difference between tourists visiting France and Italy = [tex](7.94 - 4.27)[/tex] ×[tex]10^{7}[/tex]
[tex]= 3.67[/tex] × [tex]10^{7}[/tex]
[tex]= 36700000[/tex]
[tex]\therefore[/tex] Difference between population of tourists in France and Italy are [tex]36700000[/tex] people.
Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
Answers
Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:
[tex]A = \frac{1}{2}\cdot n \cdot (n+1)[/tex]
[tex]A = \frac{1}{2}\cdot (n^{2}+n)[/tex]
[tex]A = \frac{n^{2}}{2}+\frac{n}{2}[/tex]
[tex]n^{2}+n = 2\cdot A[/tex]
Where [tex]n[/tex] is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
[tex]n^{2}+n -2\cdot A = 0[/tex] (1)
If we know that [tex]A = 17.5\,cm^{2}[/tex], then the shortest length of the triangle is:
[tex]n_{1} = 5.437\,cm[/tex] and [tex]n_{2} \approx -6.437\,cm[/tex]
Since length is a positive variable, the only possible solution is:
[tex]n\approx 5.437\,cm[/tex]
Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Sequences.
64,32,16,8,4,___, ___ what are the next two numbers?
and what is the rule?
Answers
Answer:
2, 1
Step-by-step explanation:
half of 64 is 32
half of 32 is 16
half of 16 is 8
half of 8 is 4
half of 4 is 2
half of 2 is 1
Answer:
2, 1
Step-by-step explanation:
you are dividing it in half or by two
Find the slope of the line segment that contains the two points (-18,-20) and (-18,-15)
A)none
B)36/35
C)-2/5
D)-5
E)undefined
Answers
(-15+20)/(-18+18) = 5/0
5 cannot be divided by 0
Solution: E) undefined
BRAINLIEST TO RIGHT WITHOUT WORK
If you increase the length of a rectangle by 50% and the width by 100% by what percent will the area of this rectangle increase
Answers
Answer:
200%
Step-by-step explanation:
if you substitute in numbers you'll find this as the answer.
as an example:
suppose the sides of the rectangle was 1 unit long.
area before change: 1 * 1 = 1
then, the length gets increase by 50% making it 1.5 ( 50% of 1 is 0.5, then you add it onto 1, 1 + 0.5 = 1.5 )
the width gets increased by 100% making it 2 ( 1 + 1 = 2 )
new area: 1.5 * 2 = 3
1 increased by 200% is 3, therefore the answer is 200%
My teacher can grade 25 homework assignments in 20 minutes. Is she working at a faster rate or slower rate than Ms. Jones, who is grading 36 homework assignments in 30 minutes?
Answers
Answer:
Ms.Jones is faster
Step-by-step explanation:
WORTH ALOT OF POINTS!!
Which of the following amounts could be represented by the whole tape diagram?
Answers
Answer:
B is the answer!!!
Step-by-step explanation:
the tape diagram shows this
Answer:
New salary after 30% raise , Ketchup in a bottle containing 30% more ketchup
Step-by-step explanation:
does anyone know this ?? could really use help :(
Answers
Answer:
AAS
Step-by-step explanation:
The next model of a sports car will cost 4.7% less than the current model the current model cost 31000. How much will the price decrease in dollars? What will be the price next model?
decrease in price $_
price of next model $_
please help me !
Answers
Step-by-step explanation:
decrease value is 1353
value 31,647
Daisy is reading a 47 pg book. She read the first 20 pgs in 6 minutes. How long will it take her to read the entire book?
Answers
Answer:
About 15 minutes
Step-by-step explanation:
It takes her 6 minutes to read 20 pgs. If she reads 20 more pages (which will be 40 now) she will have been reading for 12 minutes. This leaves you with 7 pages left, about 3 or 4 minutes.
Please help ASAP 15 points
Answers
Answer:
B
Step-by-step explanation:
The answer is B because it tells you the letter atound triangle.
Answer:
b
Step-by-step explanation:
HELP ME WITH MATH HOMEWORK
Answers
Step-by-step explanation:
Only option B shows a proportional relationship (y = 3x).
Answer:
D
Step-by-step explanation:
Y=3x-1 is written as the slope-intercept form y=mx+b don't let the -1 confuse you.
Please help I have searched this question and have not found it yet so please help me answer this, I am bad at math
You want to go to Africa for a photo safari. You need $2,800. You can get $1,000 from your savings and family and you can save $30 per week. How many weeks will it take you to save up the money for the trip?
A. 127 weeks
B. 60 weeks
C. 93 weeks
D. 84 weeks
Please select the best answer from the choices provide
Answers
Answer:
B 60
Step-by-step explanation:
because 30x60=1800 and since you already have 1k you add the 1800 to get 2800.
simplify the product. write (x + 2)(x − 5) in standard form. Show your work
Answers
Answer:
x^2-3x-10
Step-by-step explanation:
Answer:
The answer is x²-3x-10
Step-by-step explanation:
(x + 2)(x − 5)
x²-5x+2x-10
x²-3x-10
3/4 divided by 2 1/2 help me please
Answers
Answer:
1 7/8 or 15/8
Step-by-step explanation:
Keep change flip
5x + 2x + 2 = 9x + 4
Answers
Step-by-step explanation:
Given
5x + 2x + 2 = 9x + 4
9x - 5x - 2x = 2 - 4
9x - 7x = - 2
2x = - 2
x = - 2 / 2
Therefore x = -1.
therefore lhs is equal to rhs
99-45f+36b in factored form
Answers
hope this helps
Please answer!!
During what times is Ann driving a consistent speed? Give a reason to support your answer
Answers
Answer:
There are 3 intervals where Ann is driving a consistent speed
Between 1 and 4 minutes, Between 6 and 8 minutesBetween 9 and 11.5 minutes==========================================================
Explanation:
When she drives a consistent speed, this means her speed is the same.
This happens exactly when there are flat portions of the graph. This is because the speed y is not going up or down during these intervals.
The intervals where the graph is flat are mentioned at the top in the answer portion.
Any time the graph goes uphill, from left to right, Ann is increasing her speed. So she is accelerating.
In contrast, any time the graph goes downhill, she is decreasing her speed (or decelerating).
Side note: I'm not including the portion from roughly 4 to 5 minutes because during that time, she is stopped and the car isn't moving.
Together, Eric and Mike have at least 15 Hot Wheels. If Eric has 9 Hot Wheels, how many can Mike have?
Answers
Answer:
6
Step-by-step explanation:
Answer:
he should have 6
Step-by-step explanation:
A student takes 1.5 hours to complete her midterm. How many seconds did it take her to finish the assessment?
Answers
Explanation: 1.5 hours is equal to 90 minutes and there is 60 seconds in a minute all you have to do is multiply 90 x 60 hope this helped(:
The student took 5400 seconds to finish her assessment.
Given,
A student takes 1.5 hours to complete her midterm.
We have to find how many seconds it took to finish her midterm assessment.
How many seconds in an minute?One hour = 60 minutes
1 minute = 60 seconds
We have,
A student takes 1.5 hours to complete her midterm.
1.5 hours = to complete the assessment.
Converting 1.5 hours into seconds.
1 minutes = 60 seconds
Multiplying 60 on both sides.
60 x 1 minutes = 60 x 60 seconds
60 minutes = 3600 seconds
1 hour = 60 minutes
1 hour = 3600 seconds
Multiplying 1.5 on both sides.
1.5 x 1 hour = 1.5 x 3600 seconds
1.5 hours = 5400 seconds.
Thus the student took 5400 seconds to finish her assessment.
Learn more about conversion of hours to seconds here:
https://brainly.com/question/8197451
#SPJ5
the mean number of emails adele received during a week was 51.
The numbers received for the six days were 39, 57, 70, 45, 71, 32.Find how many emails she received on the seventh day.
Answers
Given:
The mean number of emails adele received during a week was 51.
The numbers received for the six days were 39, 57, 70, 45, 71, 32.
To find:
The number of emails received on the seventh day.
Solution:
Let x be the number of emails received on the seventh day.
We know that,
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]51=\dfrac{314+x}{7}[/tex]
Multiply both sides by 7.
[tex]357=314+x[/tex]
Subtract 314 from both sides.
[tex]357-314=x[/tex]
[tex]43=x[/tex]
Therefore, she received 43 emails on the seventh day.
Are the triangles congruent? and why?
Answers
Answer: ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.
a mother is five times old as her daughter. in 6 years, the mother will be three times as old as her daughter. how old is each now
Answers
Answer:
30,6
Step-by-step explanation:
What is the image of the point (2,3) after the transformation Ry-axis?
Answers
Answer:
The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Step-by-step explanation:
We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.
In other words, the rule is:
P(x, y) → P'(-x, y)
Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.
Considering the point
A(2, 3)Let us reflect the point A(2, 3) across the y-axis.
We know the rule:
P(x, y) → P'(-x, y)
so
A(2, 3) → A'(-2, 3)
Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Solve the equation below for the value of x.
−314x + 25 = 214x − 1312
Answers
Answer:
x=1337/528
Step-by-step explanation:
-314x-214x=-1312-25
-528x=-1337
x=1337/528
Answer:
Step-by-step explanation:
add 314x to both sides
-314+25=214x-1312
+314x +314x
add 1312 to both sides
25=528x-1312
+1312 +1312
1337=528x
x=1337/528
i dont thing you can simplify to a whole number...hopefully this helps a little :)
Item 1: sleeved dress $17.99
Item 2: skirt $16.19
Item 3: t shirt $8.99
Subtotal is $43.17
Discount the cheapest item 30% off. Subtract subtotal-discount for sale price. Tax is 3.5% add sale price + tax what is the final with tax?
Answers
Answer:
The final price including tax is $41.89
Step-by-step explanation:
The following items are on sale:
Sleeved dress $17.99
Skirt $16.19
T-shirt $8.99
Subtotal $43.17
The cheapest item is the T-shirt for $8.99 and it will be discounted by 30%:
$8.99 - 30/100 * $8.99 = $8.99 - $2.70 = $6.29
The total sale price is now: $43.17-$2.70=$40.47
Now we add the 3.5% tax:
$40.47 + 3.5/100 * $40.47 = $40.47 + $1.42 = $41.89
The final price including tax is $41.89
The scale drawing of a building has a width of 6 inches and a height of 8 inches. If the height of the actual building is 48 feet, what is the width?
Answers
Answer:
36 feet
Step-by-step explanation:
48/8=6 so you need to multiply the 6 by 6 as well which gives you 36
Your local grocery store is having a special on soda. they're selling a 12- pack of 12 oz cans for $4.75. The 20 oz. bottles are also on sale for $0.90. Should you buy one 12-pack of 12 oz.cans or seven 20 oz. bottles?
Answers
Answer:
12 pack
Step-by-step explanation:
12 pack = $4.75
1 bottle = $0.90
7 × 0.90 = $6.30
Jamal drew angle bisector AD with D on the line segment BC. If BD=3, DC=9 and AB+AC=28 find AB and AC.
Answers
Answer:
AB = 7
AC = 21
Step-by-step explanation:
Because AD is an angle bisector it divides the triangle into proportional parts. That is ...
AC/DC = AB/BD
(28 -AB)/9 = AB/3 . . . . use AC = 28 -AB
28 -AB = 3AB . . . . . . . . multiply by 9
28 = 4AB . . . . . . . . add AB
AB = 28/4 = 7 . . . . divide by 4
AC = 28 -7 = 21
The lengths AB and AC are 7 and 21, respectively.
_____
Additional comment
The triangle ABC cannot exist. The reason is that its side measures are 7, 12, and 21. The sum of 7 and 12 is not greater than 21, so the side measures do not satisfy the triangle inequality.
For the triangle to exist, the sum of AB and AC cannot exceed 24 for the given values of BD and DC.