Answer:
1.5 timesbottle Ythird bottleStep-by-step explanation:
Insufficient dimensions are given to compute an exact volume of each geometry, so we have to assume that the volume is proportional to the product of base area and height. Then the relative volumes will be ...
bottle X: (6 in)(2 in)(1 in) = 12 in^3
bottle Y: (4 in)(3 in)(1.5 in) = 18 in^3
3rd bottle: (3 in)(6 in^2) = 18 in^3
That is, the relative volumes are ...
X : Y : 3rd = 12 : 18 : 18 = 1 : 1.5 : 1.5
The corresponding relative prices are ...
X : Y : 3rd = 9.96 : 14.40 : 13:20 = 1 : 1.446 : 1.325
__
A. Bottle Y has 1.5 times as much lotion as Bottle X.
__
B. Bottle Y is a better buy than Bottle X. (The price relative to X is less than the volume relative to X.)
__
C. The 3rd bottle is the best buy. For the same volume, the price of the 3rd bottle is less than that of Bottle Y.
_____
Note that the relative volume and price ratios are found by dividing all the numbers in the ratio sequence by the first number:
12 : 18 : 18 = (12/12) : (18/12) : (18/12)
9.96 : 14.40 : 13.20 = (9.96/9.96) : (14.40/9.96) : (13.20/9.96)
What is the answer to ... 7x-18=x
Answer:
x=3
Step-by-step explanation:
7x-18=x
Subtract 7x from each side
7x -18-7x = x-7x
-18 = -6x
divide each side by -6
-18/-6 = -6x/-6
3 =x
HELP PLEASE
If anyone can help I’m panicking
Answer:
8.5
Step-by-step explanation:
Because it have more pumpkins
Answer:
thatvis gizmo he says hi. .. :/ srry
The diagram shows a regular pentagon, ABCDE, a regular octagon, ABFGHIJK, and an isosceles triangle, BCF. Work out the angle x
Answer:
x is 31.5°
Step-by-step explanation:
Here, we have each interior angle of a regular octagon = 135°
Each interior angle of a regular pentagon = 108°
Therefore, 135° + 108° + ∡B = 360°
Hence, ∡B = 360° - (135° + 108°) = 117°
Since, AB = BC = BF ( sides of a regular polygons (octagon and pentagon))
Hence, ΔCBF is an isosceles triangle and ∡x = ∡CFB from which we have;
∡x + ∡CFB + 117° = 180°
∴ ∡x + ∡CFB = 180° - 117° = 63°
Hence, ∡x = 63° - ∡CFB = 63° - ∡x which gives
2·∡x = 63°
Hence, ∡x = 63°/2 = 31.5°
∡x = 31.5°.
Which change can be made to correct the chart
Answer:
what chart
Step-by-step explanation:
Solve for x. (x+6)(-x+1)=0
Answer:
x=6,1
I hope it helps :)
A series consists of some numbers such that the summation of the divisors of any number of that series is 1 less than twice of that number. For example the divisors of 4 are 1,2 and 4 and the sum is 7. If the numbers of this sequence are arranged in ascending order then what is the 9th term?
Answer:
The 9th term is 17179869184
Step-by-step explanation:
Here we have that;
The divisors of 1 = 1 which is 1 less than 1*2
The sum of the divisors of 2 = 1 + 2 = 3 which is 1 less than 2*2
The sum of the divisors of 4 = 1 + 2 + 4 which is 1 less than 4*2
The sum of the divisors of 8 = 1 + 2 + 4 + 8 which is 1 less than 8*2
The sum of the divisors of 32 = 1 + 2 + 4 + 8 + 16 + 32 which is 1 less than 32*2
The sum of the divisors of 256 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 which is 1 less than
The next numbers are therefore,
32 × 256 = 8192
256 × 8192 = 2097152 and the 9th term is therefore;
8192 × 2097152 = 17179869184.
Find the surface area of the prism.
Answer:
920 ft^2
Step-by-step explanation:
area of triangles: base x height / 2 (2)
8 x 15 / 2
= 60 x 2
= 120
area of rectangular base: length x width
15 x 20 = 300
area of sloped rectangle: length x width
17 x 20 = 340
area of rectangle: length x width
8 x 20 = 160
Total: 120 + 300 + 340 + 160
=920 ft^2
Answer:
920 ft²
Step-by-step explanation:
2 triangles + 3 rectangles
2(½×15×8) + 20(17+8+15)
120 + 800
920
Selecting which seven players will be in the batting order on a 11 person team.
A) Permutation
B) Combination
C) Circular permutation
Answer:
a:) combination
b:) permutation
c:) combination
Step-by-step explanation:
There are 330 ways the coach can select a batting order of seven players from an 11 person team. Therefore, option B is the correct answer.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
To determine the number of ways the coach can select a batting order of seven players from an 11 person team, we can use the combination formula, which is given by:
nCr = n! / r!(n-r)!
where n is the total number of players on the team, and r is the number of players in the batting order. In this case, n = 11 and r = 7.
So, the number of ways the coach can select a batting order of seven players from an 11 person team can be calculated as follows:
11C₇ = 11! / (7!(11-7)!)
= (11 x 10 x 9 x 8) / (4 x 3 x 2 x 1)
= 330
Therefore, option B is the correct answer.
To learn more about combination here:
brainly.com/question/17196495.
#SPJ2
Mr.Jones bought a box of 144 chocolate bars for $72.00 for his convenience store. He marks the price up by 50% . What is the price of one chocolate bar?
Answer:
A box of 144 chocolate bars for 72 dollar.
Then each chocolate bar costs: 144/72 = 2 dollar
=> Price up to 50%: P = 2 x (1 + 50/100) = 2 x 3/2 = 3 dollar
Hope this helps!
:)
Meryl needs to cut down 10.5 trees for every 5 cabins she builds. how many trees would she need to build 7 cabins
Answer:
14.7 TreesStep-by-step explanation:
We solve this using a proportion.
[tex]\frac{10.5}{5} = \frac{x}{7}[/tex]
10.5 x 7 = 73.5
5x = 73.5
x = 14.7
Now let's check the proportion.
[tex]\frac{10.5}{5} = \frac{14.7}{7}[/tex]
10.5 x 7 = 73.5
14.7 x 5 = 73.5
73.5 = 73.5 ✅
I'm always happy to help :)
Use the Pythagorean Theorem to find the length of the hypotenuse of a
right triangle if the lengths of the legs are 5 and 12 meters.
Answer:
13
Step-by-step explanation:
x^2=5^2+12^2
x^2=25+144
x^2=169
x=13
A salad recipe calls for 1 cups of chopped tomatoes. The recipe calls for 4 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?
Answer:
You need 4 cups.
Step-by-step explanation:
If you have 1 cup of tomatoes, and you need 4 times the amount of lettuce, you multiply 1 times 4. Giving you 4 cups of lettuce.
Horatio transferred a balance of $2600 to a new credit card at the beginning
of the year. The card offered an introductory APR of 4.3% for the first 5
months and a standard APR of 13.7% thereafter. If the card compounds
interest monthly, which of these expressions represents Horatio's balance at
the end of the year? (Assume that Horatio will make no payments or new
purchases during the year, and ignore any possible late payment fees.)
O A 152800(0,00)" (.cz
O B. (120)(1.0) (2017
(32001, 2003" (1.1980
O D. (2000, 1900 og
O C. ($2600) 1+
Answer:
Step-by-step explanation:
2600(1+0.043/12)^6(1+0.137/12)^7
which symbol correctly compares the two measurementsone pound 16 oz
Answer:
the = symbol
Step-by-step explanation:
there are 16 oz in a pound
Answer:
This symbol: :
Step-by-step explanation:
The ratio symbol or a colon, :
pound : ounces
1 : 16
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (8, 8) (5, 5)
Answer:
The slope is again 1
Step-by-step explanation:
Because x1 and x2 is 5 and 8, and y1 and y2 are 5 and 8, the slope equation becomes 5-8 / 5-8, which would turn into -3 /-3, or 1.
:)
Answer: 1
Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is and slope can be found using the ratio rise over run between any two points that are on that line.
So for the line you see here, we will use the two points that are given.
Starting at the point (5,5), we will rise 3 units and run 3 units
in order to get to our second point, (8, 8).
This means that the slope or rise over run is 3/3.
However, 3/3 can be reduced to 1.
So the slope of this line is 1.
The elevation at the summit of Mount Whitney is 4,418 meters above sea level. Climbers begin at a trail head that has an elevation of 2,550 meters above sea level. What is the change in elevation, to the nearest foot, between the trail head and the summit?
(1 foot =0.3048 meters) *
A. 1868 ft
B. 569 ft
C. 6,128 ft
D. 6,129 ft
Answer:
D
Step-by-step explanation:
Firstly, to answer this question, we need to calculate the change in elevation.
Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.
To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.
Mathematically that would be 4,418 - 2,550 = 1,868 meters
Now our answer need be in foot. we have a conversion system given in the question already.
1 foot = 0.3048 meters
x foot = 1,868 meters
x = 1,868/0.3048
x = 6,128.6 feet which is approximately 6,129 feet
A ladder leans against the side of a house. The angle of elevation of the ladder is 67 degrees when the bottom of the ladder is 14 ft from the side of the house. Find the length of the ladder.
Answer:
32.98 ft
Step-by-step explanation:
What you have right there is a triangle.
The base of the triangle is given (14 ft)
The angle from the ladder makes while leaning on the house is 67 degrees.
This is a simple trigonometry problem
You want to find the length of the ladder and you don't have the hypotenuse
So you can use the function tan to find it.
tan(Ф) = opposite/adjacent
You are looking for the opposite side length
So you do tan(Ф) * adjacent = opposite
tan(67) * 14 = 32.98 ft
A Pentagon has the exterior angles 42, 86, 3x, 4x, and x. What is x? Please hurry.
Answer:
x = 29
Step-by-step explanation:
Which sunsets of the real number does the number √42 belong
Answer:
Irrational numbers
Step-by-step explanation:
To find out which subsets of real numbers [tex]\sqrt{42}[/tex] is in, we can look at what it does not fall into.
Natural numbers- These include 1, 2, 3..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it
Whole numbers - These include 0, 1, 2 ..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it
Integers- These include -2, -1, 0, 1, 2..., which means that [tex]\sqrt{42}[/tex] cannot be a part of it.
Rational - These include all the previous as well as anything that can be written as a fraction, which means that [tex]\sqrt{42}[/tex] cannot be a part of it
Irrational numbers - This includes anything that continues on endlessly, which this does when converted to a decimal, which means that this is the subset of real numbers that [tex]\sqrt{42}[/tex] belongs.
If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possibility. Use specific fraction examples.
Answer:
9
Step-by-step explanation:
plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F)?
Answer:
Its A
Step-by-step explanation:
c=-20, -15, -5
f(c)=-4,5,23
gl with your test or quiz
Answer: its A
Step-by-step explanation:
Can someone help me!!!
Is Y=5x+2 in slope intercept form?
Answer: yes, the equation [tex]y = 5x +2[/tex] is a slope-intercept form.
Step-by-step explanation:
-The equation of a slope-intercept form:
[tex]y = mx + b[/tex] (where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept).
Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23
what are the factors of 36x⁸-49?
Answer:
(6x^4+7)(6x^4-7)
Step-by-step explan
Answer:
The common factor is 1
(6x^4+7) (6x^4-7)
Step-by-step explanation:
need help asap will mark brainliest
Answer:
1725 ft²
Step-by-step explanation:
[tex]\frac{50+65}{2} *30[/tex] = [tex]\frac{115}{2} *30= 57.5*30 = 1725[/tex]
Answer:
1,950 ft
Step-by-step explanation:
it is a compound shape, thus it is made up of a square and a triangle
you can find the area of the square by 30 x 50 and the area of the triangle by 30 as the height and 65 - 50 as the base, and when you add it together you get 1,950
A box of chocolates contains five milk chocolates and six dark chocolates. Mike randomly picks a chocolate and eat it. Then Mike randomly picks another chocolate and eats it. Determine the probability Mike eats two milk chocolates. Round to the hundredths place.
Answer: 0.182
Step-by-step explanation:
For the first selection, the probability of picking a milk chocolate bar is equal to the number of milk chocolate bars divided the total number of bars, this is:
p1 = 5/(6 + 5) = 5/11
In the second selection we have the same equation, but now we have 4 milk chocolate bars (because one is alredy taken)
p2 = 4/(4 + 6) = 4/10
the joint probability is:
P = p1*p2 = (5/11)*(4/10) = 0.182
john wants to buy a new phone for 1200. the sales tax is 8.875%. what is the total price?
Answer:
$1306.50
Step-by-step explanation:
1200(1 + tax) = total price -->
1200(1.08875) = total price -->
1306.5 = total price
4688-3) -30X-5 CX-5)
Answer:
x = 13/3
Step-by-step explanation:
4(8x-3) - 30x = 5(x-5)
Distribute
32x - 12 - 30x = 5x -25
Combine like terms
2x -12 = 5x-25
Subtract 2x from each side
2x-12-2x = 5x-2x -25
-12 = 3x-25
Add 25 to each side
-12+25 = 3x-25+25
13 = 3x
Divide each side by 3
13/3 = x
Answer:
x ≈ 4.3
Step-by-step explanation:
Distribute the 4 to (8x - 3) and the 5 to (x - 5), like so:
4(8x - 3) - 30x = 5(x - 5)
32x - 12 - 30x = 5x - 25
Add like terms (32x and -30x), like so:
32x - 30x = 2x
2x - 12 = 5x - 25
Subtract 2x from both sides:
2x - 12 = 5x - 25
-2x -2x
____________
-12 = 3x - 25
Add 25 to both sides:
-12 = 3x - 25
+ 25 + 25
____________
13 = 3x
Divide both sides by 3:
4.3 ≈ x