A pack of four bags of coffee cost $39.96. How much would 16 bags of coffee cost.
SHOW YOUR WORK
Answers
Answer:
$159.84
What we know - 4 bags cost $39.96
What we need to know - How much 16 bags cost
Step-by-step explanation:
We can solve this by simply knowing how many times 4 goes into 16. We can do this by writing the equation 16 ÷ 4 = 4. We now know that 4 goes into 16 4 times. By doing this we can now multiply $39.96 by 4 to get the cost of 16 bags which is $159.84.
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Related Questions
I need some help please
Answers
The solution of the inequality is:
x<-7/2
x>1
define inequalityIn mathematics, an inequality is a statement that compares two values or expressions using a symbol that indicates their relationship. The symbols used to express inequalities include "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), and "≠" (not equal to).
For example, the inequality 2x + 3 > 7 means that the value of the expression 2x + 3 is greater than 7. Similarly, the inequality 5y ≤ 20 means that the value of the expression 5y is less than or equal to 20.
Given inequalityx+½<-3
Subtracting ½ from both side
x<-3-½
x<-7/2
Or
x-3>-2
Adding 3 both side, we get
x>1
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A cylindrical swimming pool has a diameter of 14 feet and a height of 5 feet. How many gallons of water can the pool contain? Round your answer to the nearest whole number. (1 ft3 ≈ 7.5 gal)
Answers
–81, 108, –144, 192,. Which formula can be used to describe the sequence?.
Answers
The formula that can be used to describe the sequence is:\(a(n) = (-1)^(n+1) * 3^(n) * 4.\)
The given sequence is -81, 108, -144, 192.
The formula that can be used to describe the sequence is: \(a(n) = (-1)^(n+1) * 3^(n) * 4\), where n is the nth term in the sequence.
This formula is a geometric sequence formula that can be used to describe the given sequence.
The formula represents the nth term of the sequence as a function of the position of the term in the sequence.
Here, n represents the position of the term in the sequence
.For the given sequence, the first term is -81, which corresponds to the first position in the sequence (n = 1).
The second term is 108, which corresponds to the second position in the sequence (n = 2).
The third term is -144, which corresponds to the third position in the sequence (n = 3).
The fourth term is 192, which corresponds to the fourth position in the sequence (n = 4).
Therefore, the formula that can be used to describe the sequence is: \(a(n) = (-1)^(n+1) * 3^(n) * 4.\)
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While studying a population of porcupines, a group of scientists caught and tagged 140 porcupines. A week later, the scientists counted 180 porcupines and saw that 14 of them had tags. To the nearest whole number, what is the best estimate for the porcupine population
Answers
Answer:
400
Step-by-step explanation:
140 + 180
= 320
estimate is 400.
A triangle has interior angles of 50°, 55°, and 75° with side lengths of 3.1 m, 3.2 m, and 4.0 m. A second
triangle has side lengths of 10.3 m, 10.5 m, and 12.0 m. What must the interior angles of the second triangle
be for the two shapes to be similar?
Answers
The interior angles of the second triangle will be 50°, 55°, and 75° respectively.
What are similar triangles?
If the corresponding angles and sides of two triangles are congruent, then the two triangles are said to be similar.
In other words, similar triangles have the same shape but may differ in size.
Given, a triangle has interior angles of 50°, 55°, and 75° with side lengths of 3.1 m, 3.2 m, and 4.0 m.
And, a second triangle has side lengths of 10.3 m, 10.5 m, and 12.0 m.
The corresponding sides of both triangles are 3.1 m, 3.2 m, and 4.0 m with 10.3 m, 10.5 m, and 12.0 m respectively.
Then, the angles of both triangles are also corresponding to each other.
So we get, the interior angles of the second triangle will be 50°, 55°, and 75° respectively.
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which of the following bases is the weakest? the base is followed by its kb value. a) hoch2ch2nh2, 3.2 × 10-5 b) nh3, 1.76 × 10-5 c) c5h5n, 1.7 × 10-9 d) (ch3ch2)3n, 5.2 ×
Answers
The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.
The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.
In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.
Comparing the Kb values provided:
(CH3CH2)3N with Kb = 5.2 × 10^(-4) C5H5N (pyridine) with Kb = 1.7 × 10^(-9) NH3 with Kb = 1.76 × 10^(-5)HOCH2CH2NH2 with Kb = 3.2 × 10^(-5)A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.
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SS ZONE
Block 5> Topic 3> Applications of Percent
Dre is painting a mural for his school.
Each can of spray paint costs $5 before
sales tax. The sales tax rate is 10%.
Plot a point that represents how Dre can
spend money on spray paint.
Cost Including Sales Tax (5)
132
88
44
20
40
60
Cost Before Sales Tax ($)
Answers
A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.
How to model the money spent?The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.
The general format of a proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality.
In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:
Cost before sales tax.10% of the cost before sales tax.Considering x as the cost before sales tax, the equation is given as follows:
y = x + 0.1x
y = 1.1x.
Meaning that one point is given as follows:
(5,5.5).
Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.
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Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and is the longest side of DEF.
Triangle ABC is a scaled copy of triangle DEF with what scale factor?
Answers
Answer: scale factor = 1.5
Step-by-step explanation:
\(\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}\)
Given: Triangle ABC is a scaled copy of triangle DEF.
Side AB = 12 cm and is the longest side of ABC.
Side DE = 8 cm and is the longest side of DEF.
\(\text{For similar triangles, Corresponding sides are proportional.}\)
AB is corresponds DE (longest side of both triangles)
So, \(\text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5\)
Hence, the scale factor = 1.5.
A few years ago, Paul got this email from his friend -
Hey Paul,
So I am thrilled to say we are all good to pay you. I apologize for how drawn out it has been! So l need two things, your bank transfer info and your math help.
Below are all the relevant terms of the contract. I did the math, and from the 5000 investment I come to a total of 6155.27 owed. Can you check this math, and let me know? Once I have your
account/routing/bank name info I will send it immediately!
Sorry again, I want to let you know how much the loan meant, and how it helped us do what we needed to do, and I hope how long it has taken to pay it back hasn't changed how you feel about
me, or lending, or anything like that!
Glad to be able to settle this up and miss you!
Dylan
You need to verify that Paul's friend Dylan is correct, that he owed him exactly $6155.27.
TERMS:
October 6th, 2009-November 9th, 2012
From and including: Tuesday, October 6, 2009
To and including: Friday, November 9, 2012
It is 1131 days from the start date to the end date, end date included. Or 3 years, 1
month, 4 days including the end date
730 days are under 6% compounded daily
401 days are overdue and operate under 8% compounded daily
Initial investment was $5000.00
Principal Sum shall bear interest at a rate per annum of [6]%, compounded daily.
Create a model of this scenario, then label your model.
Show step by step how you can find the final amount.
Show any separate calculations (side work) you used to support your final answer.
Answers
Since the first 730 days were under 6% compounded daily and the last 401 days were under 8% compounded daily, the final future value of the loan in the sum of $6,155.27 agrees with Dylan's calculations of what he owed Paul.
How is the final future value determined?The final future value combines two separate calculations using an online finance calculator.
The first computation determines the future value based on a present value of $5,000 at 6% for 730 days.
The final computation determines the future value based on a present value of $5,637.43 at 8% for 401 days.
$5,000 for 730 days at 6% Compounded Daily:
N (# of periods) = 730 days
I/Y (Interest per year) = 6%
PV (Present Value) $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $5,637.43
Total Interest = $637.43
$5,637.43 for 401 days at 8% Compounded Daily:
N (# of periods) = 401 days
I/Y (Interest per year) = 8%
PV (Present Value) = $5,637.43
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $6,155.27
Total Interest = $517.84
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Multiply (4+i) (2-5i) .
Answers
Answer:
13 - 18i
Step-by-step explanation:
Distribute
Answer:
-196 -49 i
Step-by-step explanation:
Hope this helps:)!!
| VA
19 Solve the simultaneous equations
Show clear algebraic working.
x²-9y-x=2y² - 12
x+2y-1=0
Answers
The given simultaneous equations have the following solution:
x = -√13 - 1, y = (1 + √13) / 2
or
x = √13 - 1, y = (1 - √13) / 2
What is algebraic expression?A n algebraic expression is an expression built up from constant algebraic numbers, variables, and addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number.
The given simultaneous equations are:
x²-9y-x=2y² - 12 ...(1)
x+2y-1=0 ...(2)
From equation (2), we can write x = 1-2y and substitute this value of x in equation (1):
(1-2y)² - 9y - (1-2y) = 2y² - 12
Expanding and simplifying the above expression, we get:
4y² - 8y - 11 = 0
Using the quadratic formula, we can solve for y:
y = [ -(-8) ± √((-8)² - 4(4)(-11))] / (2(4))
y = [ 8 ± √(208) ] / 8
y = [ 1 ± √13 ] / 2
We can use equation (2) to determine the values of x that correspond to the values of y now that we have them:
When y = (1 + √13) / 2:
x = 1 - 2y = 1 - 2(1 + √13) / 2 = -√13 - 1
When y = (1 - √13) / 2:
x = 1 - 2y = 1 - 2(1 - √13) / 2 = √13 - 1
Therefore, the solution to the given simultaneous equations is:
x = -√13 - 1, y = (1 + √13) / 2
or
x = √13 - 1, y = (1 - √13) / 2
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What is the length of the rectangle if P=200 cm and the w=50 cm?
Answers
Given the perimeter of a rectangle = 200 cm, and its width = 50cm:
The formula for a perimeter of a rectangle is P = 2(L + W) or P = 2L + 2W.
We can isolate the length algebraically from the equation. Subtract 2W from both sides:
P - 2W = 2L + 2W - 2W
P - 2W = 2L
Next, divide both sides by 2:
(P - 2W) / 2 = 2L/2
(P - 2W)/2 = L
Now that we have our formula for the length (L), we can plug in the given values into the formula:
L = (P - 2W)/2
L = [200 - 2(50)] / 2
L = (200 - 100) / 2
L = 100/2
L = 50
Therefore, the length of the rectangle is 50 cm.
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select the correct answer. the average temperature at the south pole is -49.62°c, and the average temperature at the north pole is -34.68°c. how much higher is the average temperature at the north pole than at the south pole?
Answers
If the average temperature at the South Pole is -49.62°C and the average temperature at the North Pole is -34.68°C, then the average temperature at the north pole is higher at the south pole by 14.94°C.
To find out how much higher the average temperature is at the North Pole compared to the South Pole, follow these steps:
We need to subtract the temperature at the South Pole from the temperature at the North Pole. So, the calculation would be:-34.68°C - (-49.62°C)
⇒-34.68°C + 49.62°C = 14.94°C
Therefore, the average temperature at the North Pole is 14.94°C higher than at the South Pole.
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estimate 18.50x2.6
[please help it is a past due asigment
Answers
18.5 multiplied by 2.6 gives the answer 48.1
Answer:
11.1x²
Step-by-step explanation:
they opened the front door and mr.mallard enters
Answers
What is the Question?
Find the surface area of a triangular pyramid with side of 6m, height of 5.2 m, and altitude of 7.2m
Answers
Answer:
6x5.2/2=15.6 and four sides so 15.6*4=62.4 and left with 7.2*6/2=21.6 and add u get 84
Step-by-step explanation:
In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon
Answers
Answer:
18 sides.
Step-by-step explanation:
The interior and exterior angles sum to 180 so:
I + E = 180
also I - E = 140 (given)
So, adding to eliminate E:
2I = 320
I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.
Since the sum of all exterior angles in a polygon = 360 degrees
- the number of sides = 360 / 20 = 18.
Fire is a serious threat to shrubs in dry climates. Some shrubs can resprout from their roots after their tops are destroyed. Researchers wondered if fire would help with resprouting. One study of resprouting took place in a dry area of Mexico.21 The researchers randomly assigned shrubs to treatment and control groups. They clipped the tops of all the shrubs. They then applied a propane torch to the stumps of the treatment group to simulate a fire. All 12 of the shrubs in the treatment group sprouted. Only 8 of the 12 shrubs in the control group sprouted.
Required:
a. State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest.
b. Check if the conditions for performing the test are met.
Answers
a) The parameter of interest is the difference in proportions of shrubs that sprout between the treatment and control groups.
b) We can perform a significance test to determine if there is evidence to support the alternative hypothesis that the proportion of shrubs that sprout in the treatment group is greater than the proportion of shrubs that sprout in the control group.
a. The appropriate hypotheses for performing a significance test are:
Null hypothesis (H0): The proportion of shrubs that sprout in the treatment group is equal to the proportion of shrubs that sprout in the control group.
Alternative hypothesis (Ha): The proportion of shrubs that sprout in the treatment group is greater than the proportion of shrubs that sprout in the control group.
The parameter of interest is the difference in proportions of shrubs that sprout between the treatment and control groups.
b. To check if the conditions for performing the test are met, we need to ensure that the following assumptions are satisfied:
Random sampling: The shrubs were randomly assigned to the treatment and control groups, so this assumption is met.
Independent samples: The shrubs in the treatment and control groups are independent of each other, so this assumption is met.
Large sample size: Both the treatment and control groups have at least 10 shrubs, which satisfies this assumption.
Success-failure condition: At least 10 shrubs must sprout and at least 10 shrubs must not sprout in both the treatment and control groups. In this case, all 12 shrubs in the treatment group sprouted and 8 out of 12 shrubs in the control group sprouted. Therefore, this assumption is satisfied.
Since all the assumptions are satisfied, we can perform a significance test to determine if there is evidence to support the alternative hypothesis that the proportion of shrubs that sprout in the treatment group is greater than the proportion of shrubs that sprout in the control group.
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given three points that lie on the parabola, find the equation that represents this parabola in standard form
Answers
The equation that represents this parabola in standard form is y = x²
Find the equation that represents this parabola in standard formFrom the question, we have the following parameters that can be used in our computation:
(0,0) , (1,1) and (-1, 1)
A parabola in standard form is represented as
y = ax² + bx + c
Using the points, we have
(0)²a + (0)b + c = 0
c = 0
Next, we have
(1)²a + (1)b + 0 = 1
a + b = 1
(-1)²a + (-1)b + 0 = 1
a - b = 1
Add the equations
2a = 2
a = 1
So, we have
1 + b = 1
b = 0
This means that the equation is y = x²
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Question
Given three points that lie on the parabola, find the equation that represents this parabola in standard form
(0,0) , (1,1) and (-1, 1)
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answers
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
Solve for k. 1 + 3k = 10
Answers
Answer:
k = 3
Step-by-step explanation:
3 x 3 = 9
1 + 9 = 10
Ez
HURRRRYYY
Hurry pleaseee use elimination show your work
15y - 9x =-9 -8y+9x=12
Answers
7y=-3
y=-3/7
Then plug in y to either function to solve for x, I’ll just use the left one
15(-3/7)-9x=-9
-45/7-9x=-9
-9x=-18/7
x=18/7/9
x=2/7
Simplify the expression.-10a²b45a-9b-5Write your answer without negative exponents.Enter the correct answer.
Answers
Answer:
\(-2a^{11}b^9\)Explanation:
Given the expression:
\(\frac{-10a^2b^4}{5a^{-9}b^{-5}}\)First, rewrite the fraction by separating the constants, and variables a and b.
\(\begin{gathered} \frac{-10a^2b^4}{5a^{-9}b^{-5}}=-\frac{10}{5}\times\frac{a^2}{a^{-9}}\times\frac{b^4}{b^{-5}} \\ =-2\times\frac{a^2}{a^{-9}}\times\frac{b^4}{b^{-5}} \end{gathered}\)Next, apply the division rule of exponents:
\(\frac{x^m}{x^n}=x^{m-n}\)So, we have:
\(\begin{gathered} =-2\times a^{2-(-9)}\times b^{4-(-5)} \\ =-2\times a^{2+9}\times b^{4+5} \\ =-2a^{11}b^9 \end{gathered}\)The simplified form of the expression without any negative exponent is:
\(-2a^{11}b^9\)17. Christian earned a total of r dollars last year. The government took out 7.1% for SocialSecurity and 1.45% for Medicare. Write an algebraic expression that represents what she paid toSocial Security and Medicare combined.
Answers
Christian has r dollars. 7.1% of r is for Social Security and 1.45% is for Medicare.
The total amount he paid will be :
0.071r + 0.0145r
Adding the two items
The result will be :
0.0855r
The answer is 0.0855r
Pls help Lila's mom is decorating her room and placed acircular rug near her window for story time.How much space does this rug take up if its diametermeasures 25 feet?
Answers
Step1: Write the area of the circular Rug
The area of the circle is
\(\Pi r^2\)From the question the diameter is 25feet, hence the radius is
\(\begin{gathered} \text{radius}=\frac{diameter}{2} \\ =\frac{25}{2} \end{gathered}\)Step2: substitute the value into the formula
\(\begin{gathered} \text{area of circular rug=area of a circle=}\Pi r^2 \\ =\frac{22}{7}\times\frac{25}{2}\times\frac{25}{2} \\ =\frac{13750}{28} \\ =491.07ft^2 \end{gathered}\)Hence the area of the circular rug is 491.07 square feet
The will take approximately 491square feetyou
SOMEONE PLEASE GIVE STEP BY STEP ILL GIVE BRAINLIEST
Answers
Answer:
18.9 or 23.625
Step-by-step explanation:
Help ASAP Ill mark brainliest
Answers
Answer:
35°
Step-by-step explanation:
add all =1000
then take the 350×100 =3500 then divide by 1000=35
Leo earned $2.40 for delivering a small parcel and earned more for delivering a big parcel. he delivered 3 times as many small parcels as big parcels and earned a total of $170.80. he earned $45.20 less for delivering all big parcels than all small parcels. how many big parcels did leo deliver?
Answers
Leo delivered 62.80 big parcels.
Let's denote the amount Leo earned for delivering a big parcel as "B" and the amount he earned for delivering a small parcel as "S". We'll set up a system of equations based on the given information.
From the problem statement, we have the following information:
1) Leo earned $2.40 for delivering a small parcel: S = 2.40
2) Leo earned more for delivering a big parcel: B > 2.40
3) He delivered 3 times as many small parcels as big parcels: S = 3B
4) Leo earned a total of $170.80: B + S = 170.80
5) Leo earned $45.20 less for delivering all big parcels than all small parcels: S - B = 45.20
Now, let's solve the system of equations:
From equation (3), we can substitute S in terms of B:
3B = 2.40
From equation (5), we can substitute S in terms of B:
S = B + 45.20
Substituting these values for S in equation (4), we get:
B + (B + 45.20) = 170.80
Simplifying the equation:
2B + 45.20 = 170.80
2B = 170.80 - 45.20
2B = 125.60
B = 125.60 / 2
B = 62.80
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How many sides do 2 decagons and 5 hexagons have in all?
Answers
Answer: 50 sides
Step-by-step explanation:
a decagon has 10 sides and 2 decagons have 20 sides total
a hexagon has 6 sides and 5 hexagons have 30 total
20 + 30 = 50
Therefore the answer is 50 sides
The question is:Find the total surface area of the rectangular prism.A. 546 in^2B. 480 in^2C. 238 in ^2D. 250 in^2
Answers
The formula for determining the total surface area of a rectangular prism is exprssed as
Total surface area = 2lw + 2lh + 2wh
Where
l = length = 11 inches
w = width = 5 inches
h = height = 4 inches
Therefore,
Total surface area = 2(11 * 5) + 2(11 * 4) + 2(5 * 4)
Total surface area = 110 + 88 + 40
Total surface area = 238 in^2
The correct option is C