ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!)
Answers
Answer:
Step-by-step explanation:
a). 'Per ml' cost of the small size = [tex]\frac{\text{Sale price of small cane}}{\text{Amount of liquid}}[/tex]
= [tex]\frac{4.50}{250}[/tex]
= $0.018
'Per ml' cost of the medium size = [tex]\frac{\text{Sale price of medium cane}}{\text{Amount of liquid}}[/tex]
= [tex]\frac{9.95}{500}[/tex]
= $0.0199
'Per ml' cost of the large size = [tex]\frac{\text{Sale price of large cane}}{\text{Amount of liquid}}[/tex]
= [tex]\frac{16.95}{1000}[/tex]
= $0.01695
Therefore, expression to compare per ml cost of three containers will be,
$0.0199 > $0.018 > $0.01695
b). Least expensive way to buy the cleaner is to choose the container with least per ml cost.
Cost of 1500 ml cleaner = Cost of 1000 ml cleaner + Cost of 500 ml of cleaner
= Cost of 1000 ml cleaner container + Cost of 'n' containers of 250 ml container
Total cost of 1500 ml = $16.95 + $4.50n
= 16.95 + 2(4.5) [For n = 2]
= $25.95
c). Most expensive way to purchase 1500 ml cleaner is to choose the most expensive cleaners
Cost of 1500 ml cleaner = Cost of 'n' containers of medium size containers
= 9.95(n)
= 9.95(3)
= $29.85
Related Questions
(t)What is the difference between
{2, 3} and {{2, 3}}?
Answers
[tex]\{2,3\}[/tex] is a set containing two elements - numbers 2 and 3
[tex]\{\{2,3\}\}[/tex] is a set containing one element - a set [tex]\{2,3\}[/tex]
If today is Friday, what day will it be in 51 days?
Show your thinking.
Answers
Answer:
SundayStep-by-step explanation:
Each weekday repeats every 7 days.
51 = 49 + 2 = 7•7 + 2
So 49 days from now also will be Friday .
Two days later will be Sunday.
So in 51 days will be Sunday.
In the triangles, Line segment B C is-congruent-to line segment D E and Line segment A C is-congruent-to line segment F E. Triangles A B C and F D E are shown. The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. If m Angle C is greater than m Angle E, then Line segment A B is ________ Line segment D F. Congruent to longer than shorter than the same length as
Answers
Answer:
Longer than
Step-by-step explanation:
The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:
AC = FE, BC = DE
Also m∠C is greater than m∠E
∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF therefore AB is greater than DF
From the given two triangles under the given conditions of congruency, we can say that;
Line segment AB is longer than Line segment FD.
CongruencyThe image showing both triangles is missing and so i have attached it.
From the attached image, we see that BC is congruent to DE and AC is congruent to FE. Thus, if Angle BCA was congruent to angle DEF, then the it means that both triangles would be congruent as well, because it would satisfied the Side Angle Side (SAS) congruence postulate.Therefore, we can say that line AB and line FD do not have the same length.
Now, we see that angle BCA is larger than angle DEF, and as such we can say that the line segment AB is longer than line segment FD.
Read more about congruency at; https://brainly.com/question/3168048
What is the constant term for 4x-2y+3
Answers
Answer:
Step-by-step explanation:
3 is the constant term.
Constant term is the term without any variables
Answer:
3
Step-by-step explanation:
The constant number is the number that has no variable and just a number.
NASA is painting the nose cone of a sounding rocket with a special sealant which reduces the air-drag on the rocket. If they need to do two coats of the sealant, how many square feet are they painting? Use π = 3.14.
Answers
Answer:
The formula for the lateral surface area (LSA) of a right cone is:
LSA = π x r x l
where: r as radius, and l as the slant height of the cone
If NASA need to do two coats of the sealant, the number of square feet that they are painting is: 2 x LSA = 2 x π x r x l
Step-by-step explanation:
Answer:
56.5 ft^2
Step-by-step explanation:
After you calulate the the surface area and double it, subtract the area of the circle.
What is the volume of the rectangular prism 3 1/2, 5 1/4,4 in
Answers
Answer:
73.5in³
Step-by-step explanation:
You multiply the three numbers.
3.5x5.25x4=73.5in³
One of the students in the class scored 100 on the midterm but got overconfident, slacked off, and scored only 15 on the final exam. No other student in the class "achieved" such a dramatic turnaround. If the instructor decides not to include this student’s scores when constructing a new regression model, will the slope of the new line increase or decrease?
Answers
Answer:
Increase
Step-by-step explanation:
Since your not including the bad mark, it'd increase.
Which of the following equations has roots x = 3 (multiplicity 3) and x = -i?
A. f(x) = x3 - 3x2 + x - 3
B.f(x) = x + 9x4 + 28x3 + 36x2 + 27x + 27
C.f(x) = x - 9x4 + 28x3 – 36x2 + 27x – 27
D.f(x) = x3 + 3x2 + x + 3
Answers
Answer:
The first and third polynomials have roots in x = 3 and x = -i. (A, C)
Step-by-step explanation:
The quickest form to determine if [tex]x = 3[/tex] and [tex]x = -i[/tex] are roots consist in evaluating each polynomial and proving that result is zero.
A. [tex]f(x) = x^{3}-3\cdot x^{2}+x-3[/tex]
x = 3
[tex]f(3) = 3^{3}-3\cdot (3)^{2}+3-3[/tex]
[tex]f(3) = 27-27+3-3[/tex]
[tex]f(3) = 0[/tex]
x = -i
[tex]f(-i) = (-i)^{3}-3\cdot (-i)^{2}-i-3[/tex]
[tex]f(-i) = i + 3-i-3[/tex]
[tex]f(-i) = 0[/tex]
B. [tex]f(x) = x^{5}+9\cdot x^{4}+28\cdot x^{3} + 36\cdot x^{2}+27\cdot x +27[/tex]
x = 3
[tex]f(3) = 3^{5}+9\cdot (3)^{4}+28\cdot (3)^{3}+36\cdot (3)^{2}+27\cdot (3)+27[/tex]
[tex]f(3) = 2109[/tex]
x = -i
[tex]f(-i) = (-i)^{5}+9\cdot (-i)^{4}+28\cdot (-i)^{3}+36\cdot (-i)^{2}+27\cdot (-i)+27[/tex]
[tex]f(-i) = -i+9 -28\cdot i +36-27\cdot i +27[/tex]
[tex]f(-i) = -56\cdot i +64[/tex]
[tex]f(-i) = 64 -56\cdot i[/tex]
C. [tex]f(x) = x^{5}-9\cdot x^{4}+28\cdot x^{3} - 36\cdot x^{2}+27\cdot x -27[/tex]
x = 3
[tex]f(3) = (3)^{5}-9\cdot (3)^{4}+28\cdot (3)^{3}-36\cdot (3)^{2}+27\cdot (3)-27[/tex]
[tex]f(3) = 0[/tex]
x = -i
[tex]f(-i) = (-i)^{5}-9\cdot (-i)^{4}+28\cdot (-i)^{3}-36\cdot (-i)^{2}+27\cdot (-i)-27[/tex]
[tex]f(-i) = -i - 9+28\cdot i+36-27\cdot i-27[/tex]
[tex]f(-i) = 0[/tex]
D. [tex]f(x) = x^{3}+3\cdot x^{2}+x+3[/tex]
x = 3
[tex]f(3) = (3)^{3}+3\cdot (3)^{2}+(3)+3[/tex]
[tex]f(3) = 60[/tex]
x = -i
[tex]f(-i) = (-i)^{3}+3\cdot (-i)^{2}+(-i)+3[/tex]
[tex]f(-i) = -i+3-i+3[/tex]
[tex]f(-i) = 6-i\,2[/tex]
The first and third polynomials have roots in x = 3 and x = -i. (A, C)
On the following number line, two rational numbers are graphed. Represent the two numbers as fractions (or mixed numbers) in lowest terms, and write two different expressions to represent the difference between them. Then, find the difference, showing all of your work.
Answers
Answer:
see explanation
Step-by-step explanation:
point on left is -1 and 3/6 = -9/6 = -3/2
point on right is 5/6
Difference 5/6 - -3/2 = 14/6 = 7/3
Find the midpoint of NP⎯⎯⎯⎯⎯ given N(2a, 2b) and P(2a, 0).
Answers
Answer:
(2a, b )
Step-by-step explanation:
Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
Here (x₁, y₁ ) = N(2a, 2b) and (x₂, y₂ ) = P(2a, 0), thus
midpoint = [ [tex]\frac{1}{2}[/tex](2a + 2a), [tex]\frac{1}{2}[/tex](2b + 0 ) ] = (2a, b )
What is the coefficient of the variable in the expression 6 − 4x − 8 + 2
Answers
Answer:
-4
Step-by-step explanation:
6 − 4x − 8 + 2
The variable is x
The coefficient is the number in front of the variable ( it will include the sign)
-4 is the coefficient
Answer:
-4
Step-by-step explanation:
Initial Knowledge Check
Question 2
Suppose that $4000 is placed in an account that pays 11% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year
sc
(b) Find the amount in the account at the end of 2 years.
?
Answers
Answer:
Step-by-step explanation:
We first need to figure out what the equation is for this set of circumstances before we can answer any questions. We will use the equation
[tex]A(t)=P(1+r)^t[/tex] which is just another form of an exponential equation where
(1 + r) is the growth rate, P is the initial investment, and t is the time in years. We will fill in the values we know first to create the equation:
[tex]A(t)=4000(1+.11)^t[/tex] which simplifies to
[tex]A(t)=4000(1.11)^t[/tex]
Now we'll just sub in a 1 for t and solve, then a 2 for t and solve.
When t = 1:
A(t) = 4000(1.11) so
A(t) = 4440
When t = 2:
[tex]A(t)=4000(1.11)^2[/tex] which simplifies to
A(t) = 4000(1.2321) so
A(t) = 4928.40
12 farmers harvest the crops in a field in 20 hours. How much workers will be required to do the same work in 8 hours?
Answers
Answer:
x2 # of farmers
y2 # of hours
x1# unknown workers
x2# amount wanted
x1 y1 = x2 y2
x1 (8) = 12(20)
x1 = 12(20)/8
x1 = 30
30 Farmers needed to complete the same work in 8 hours.
The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the The area of the sail is 68 square feet, find its height and the length of the base.
Answers
Step-by-step explanation:
It is given that,
The height of the sail on a boat is 7 feet less than 3 times the length of its base.
Let the length of the base is x.
ATQ,
Height = (3x-7)
Area of the sail is 68 square feet.
Formula for area is given by :
[tex]A=lb\\\\68=x(3x-7)\\\\3x^2-7x=68\\\\3x^2-7x-68=0[/tex]
x = 8 feet and x = -3.73 feet
So, length is 8 feet
Height is 3(8)-7 = 17 feet.
So, its height and the length of the base is 17 feet and 8 feet respectively.
Find the length of RA. A. 42 B. 84 C. 14 D. 7
Answers
Answer:
[tex]\large \boxed{\mathrm{B. \ 84}}[/tex]
Step-by-step explanation:
[tex]LU[/tex] bisects [tex]RU[/tex] and [tex]UA[/tex].
[tex]RU=UA[/tex]
[tex]3m+21=6m[/tex]
Solve for m.
Subtract 3m from both sides.
[tex]21=3m[/tex]
Divide both sides by 3.
[tex]7=m[/tex]
Calculate [tex]RA[/tex].
[tex]RA=3m+21+6m[/tex]
[tex]RA=9m+21[/tex]
Put m = 7.
[tex]RA=9(7)+21[/tex]
[tex]RA=63+21[/tex]
[tex]RA=84[/tex]
Answer:
B) 84
Step-by-step explanation:
ΔLRU ≅ ΔLAU {SAS congruent}
Therefore, UA = UR {CPCT}
6m = 3m +21
Subtract 3m from both sides
6m - 3m = 3m + 21 -3m
3m = 21
Divide both sides by 3
3m/3 = 21/3
m = 7
RA = RU + UA
= 3m + 21 + 6m {add like terms}
= 9m + 21 {Plug in m =7}
= 9*7 + 21
= 63 + 21
RA = 84 units
Help, Answer ASAP; will give brainliest
Answers
Answer:
a = 2, b = 3
Step-by-step explanation:
The diagonals of a rectangle bisect each other, thus
5a² = 4a² + 4 ( subtract 4a² from both sides )
a² = 4 ( take the square root of both sides )
a = [tex]\sqrt{4}[/tex] = 2
Also
6b - 8 = 4b - 2 ( subtract 4b from both sides )
2b - 8 = - 2 ( add 8 to both sides )
2b = 6 ( divide both sides by 2 )
b = 3
Shape 1 and shape 2 are plotted on a coordinate plane which statement about the shapes is true?
DA Shape 1 and shape 2 are not congruent.
B A translation will prove that shape 2 is congruent to shape 1.
C. A rotation and a translation will prove that shape 2 is congruent to shape 1
OD. A reflection a rotation, and a translation will prove that shape 2 is congruent to shape 1
Answers
Answer:
The answer is D. A reflection, a rotation and a translation will prove that shape 2 is congruent to shape 1.
SOMEONE PLZ HELP ME ON THIS PROBLEM!!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!!
Answers
Answer:
D
Step-by-step explanation:
End behaviour refers to the asymptotes, which both exponential functions have the same one at y = 2. However, they have different y - intercepts. The first one has a y - intercept of 4 and the second one has a y - intercept of 6. Thus, the answer is D.
Answer:
D. They have different y-intercepts but the same end behaviorStep-by-step explanation:
Let's name the function from graph: f
for f:
y-intercept = f(0) = 4
for x → ∞, f(x)→2
for g:
y-intercept = f(0) = 4(¹/₄)⁰+2 = 4•1+2 = 4+2 = 6 ≠4
f(1) = 4(¹/₄)¹+2 = 4•¹/₄+2 = 1+2 = 3
f(2) = 4(¹/₄)2+2 = 4•¹/₁₆+2 = ¹/₄+2 = 2¹/₄
f(3) = 4(¹/₄)³+2 = 4•¹/₆₄+2 = ¹/₁₆+2 = 2¹/₁₆
f((5) = 4(¹/₄)⁵+2 = 4•¹/₁₈₂₄+2 = ¹/₅₁₂+2 = 2¹/₅₁₂
....
so for x x → ∞, f(x)→2
-4 = BLANK - 9 what is BLANK
Answers
Answer:
5
Step-by-step explanation:
Let be blank be a
-4=a-9
-4+9=a
9-4=a
a=5
Proof:
-4=a-9
-4=5-9
-4=-4
Hope this helps ;) ❤❤❤
The value of BLANK in the given expression is 5.
To solve the equation "-4 = BLANK - 9",
Isolate the variable on one side of the equation.
To do this, we can add 9 to both sides of the equation:
-4 + 9 = BLANK - 9 + 9
This simplifies to:
5 = BLANK
So the value of BLANK is 5.
To solve the equation "-4 = BLANK - 9",
We can add 9 to both sides of the equation to isolate the variable.
This gives us the solution of BLANK = 5.
To learn more about equations visit:
https://brainly.com/question/29174899
#SPJ2
How would you write Five times the difference of a number and 7
Answers
Answer:
5(x-7)
Step-by-step explanation:
5(x-7) or 5x-35
Hope this helps!
P.S. Please give me brainliest. Thanks :)
Answer: 5*(x-7)
Step-by-step explanation:
no work needed
difference of a number means x
1A-MATH
Diviwuetalls
2 Exercise 7:
Your ansv
Type you
The three angles in a triangle are labeled A, B and C.
A = 2x
B= 3x
C=4x
Private coi
1) calculate X
2) find the actual angle of B
3) find the exterior angle to B
Answers
Answer:
Value of x = 20°
Angle B = 60°
Exterior angle to B = 300°
Step-by-step explanation:
Given:
Angles of triangle.
A = 2x
B = 3x
C = 4x
We know that,
A + B + C = 180°
2x + 3x + 4x = 180°
9x = 180°
x = 20°
Value of x = 20°
Angle B = 3x
Angle B = 3(20°)
Angle B = 60°
Exterior angle to B = 360° - 60°
Exterior angle to B = 300°
21. Which of the following is an identity? a) sin (a) cos (a) = (1/2) sin(2 a) b) sin a + cos a = 1 c) sin(-a) = sin a d) tan a = cos a / sin a
Answers
Answer:
A
Step-by-step explanation:
[tex] \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) [/tex]
[tex] \sin( \alpha ) \cos( \alpha) = \frac{1}{2} \sin( 2\alpha ) [/tex]
sloving polynomial (2x+8)(-3y-4)
Answers
Answer:
Step-by-step explanation:
2x ( -3y - 4) + 8 ( -3y - 4 )
= -6xy - 8x - 24y - 32
Hope this helps
plz mark as brainliest!!!
Answer:
Step-by-step explanation:
Use FOIL method
(2x + 8)(-3y -4) = 2x*(-3y) + 2x*(-4) + 8*(-3y) + 8*(-4)
= -6xy - 8x - 24y - 32
Quina is cooking fish for a group of travelers quina has 78 huge fish and each fish can feed 3 travelers. how many travelers can Quina feed?
Answers
Answer:
234 people
Step-by-step explanation:
1 fish = 3 people
Multiply each side by 78
1*78 = 3 *78
78 fish = 234 people
Answer:
234 traveling people
Step-by-step explanation:
78 times 3 equals 234
a cone with base radius 7 cm has a volume of 308 cm cube find the vertical height of the cone take π 22/7
pls now
Answers
Answer:
h=6.003 cm
Step-by-step explanation:
[tex] \frac{1}{3} \pi {r}^{2} h \: \: is \: the \: volume \: of \: cone[/tex]
1/3×22/7×7×7×h=308
h=308/51.3
Answer:
h = 6 cm
Step-by-step explanation:
r = 7 cm
Volume of cone = 308 cm³
[tex]\frac{1}{3}\pi r^{2}h=308\\\\\\\frac{1}{3}*\frac{22}{7}*7*7*h=308\\\\\\h=\frac{308*3*7}{22*7*7}\\\\\\h=2*3[/tex]
h = 6 cm
Barry has been watching the geese that live in his neighborhood. The number of geese changes each week. n f(n) 1 56 2 28 3 14 4 7 Which function best shows the relationship between n and f(n)? f(n) = 28(0.5)n f(n) = 56(0.5)n−1 f(n) = 56(0.5)n f(n) = 112(0.5)n−1
Answers
Answer:
B. f(n) = 56(0.5)^n-1
Step-by-step explanation:
First, You have to find out the starting population, if you look at the problem you see the population starts at 56
f(x) = 56
Second, you know that the population goes down 50% each week so it has a decay of 0.5
f(x) = 56(0.5)
Third, you need to add the exponent of n to make it exponential. But, if you just add n then the the population would be 28 on week 1 which is incorrect. To fix that you make the exponent n-1 so when you are on week 1 it doesn't become 28 but it stays on 56, and on week 2 it's 28, ect
f(x) = 56(0.5)^n-1
A company ships coffee mugs using boxes in the shape of cubes. The function g(x) = gives the side length, in inches, for a cube with a volume of x cubic inches. Suppose the company decides to double the volume of the box. Which graph represents the new function?
Answers
Answer:
The graph is attached below.
Step-by-step explanation:
The volume of the box containing the coffee mugs is,
[tex]V=x^{3}[/tex]
Then the function representing the side length, in inches, for the box is:
[tex]g(x)=x[/tex]
Now, it is provided that the company decides to double the volume of the box.
That is, the new volume will be:
[tex]V_{n}=2x^{3}[/tex]
Then the side length, in inches, for the box will be:
[tex]g_{n}(x)=\sqrt[3]{2x^{3}} =\sqrt[3]{2}x[/tex]
Then the graph representing the function, formed using the following points is:
[tex]x\ \ \ \ \ \ \ \ \ g_{n}(x)\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\0\ \ \ \ \ \ \ \ \ \ \ 0\\1\ \ \ \ \ \ \ \ \ \ \ 2^{1/3}[/tex]
Answer:
c
Step-by-step explanation:
30 PTS!! Can someone PLEASE rephrase this? The compass and straightedge is more important in constructing geometric structures than other drawing tools such as rulers and protractors. Because steps taken with a compass and straightedge cannot be seen at first glance and this situation become a problem for students.
Answers
Answer:
Step-by-step explanation:
This study investigated three mathematics teachers' construction process of geometric structures using compass and straightedge. The teacher-student-tool interaction was analysed. The study consists of the use of a compass and straightedge by the teachers, the ideas of the teachers about their use, and the observations regarding the learning process during the construction of the geometric structures. A semi-structured interview was conducted with the teachers about the importance of the use of a compass and straightedge to construct geometric structures. It was found that teachers taught compass and straightedge constructions in a rote manner where learning is little more than steps in a process. The study concludes with some suggestions for the use of a compass and straightedge in mathematics classes based on the research results. SUMMARY Purpose and significance: For more than 2,000 years, the way in which geometric structures could be constructed with the help of compasses and straightedges has caught the attention of mathematicians. Nowadays, mathematics curriculums place an emphasis on the use of the compass and straightedge. The compass and straightedge is more important in constructing geometric structures than other drawing tools such as rulers and protractors. Because steps taken with a compass and straightedge cannot be seen at first glance and this situation become a problem for students. However, 'doing compass and straightedge construction early in the course helps students to understand properties of figures'
Choose all true statements.
All real numbers are rational numbers.
Some rational numbers are natural numbers.
No real numbers are irrational numbers.
All whole numbers are integers.
Some integers are natural numbers.
No rational numbers are integers.
Answers
Answer:
- All real numbers are rational numbers. FALSE
- Some rational numbers are natural numbers. TRUE
- No real numbers are irrational numbers. FALSE
- All whole numbers are integers. TRUE
- Some integers are natural numbers. TRUE
- No rational numbers are integers. FALSE
Answer: B,D, and E
Step-by-step explanation:
A. All real numbers are rational numbers.
B. Some rational numbers are natural numbers
C.No real numbers are irrational numbers.
D.All whole numbers are integers.
E. Some integers are natural numbers.
F. No rational numbers are integers.
To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade? 14% 17% 55% 67%
Answers
Answer: 14%
Step-by-step explanation:
Complete question is provided in the attachment below:
Probability that members of the junior varsity swim team wear glasses = 55%=0.55
Given: P(wear glasses) = 0.55
P(not wear glasses) = 1-0.55 = 0.45
P(member in 10th grade | not wear glasses) = 30%
Using conditional probability formula:
[tex]P(B|A)=\dfrac{P(A\text{ and } B)}{P(A)}[/tex]
[tex]\Rightarrow\ 0.30=\dfrac{P(\text{not wear glasses and in 10th grade})}{0.45}\\\\\Rightarrow\ P(\text{not wear glasses and in 10th grade})=0.45\times0.30\\\\0.135=13.5\%\approx14\%[/tex]
Hence, the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade = 14%.
So, the correct option is "14%".
