Final answer:
The cost of one pound of sausage is $5.69 per pound.
Explanation:
To solve the problem of finding the cost of one pound of sausage when 9 pounds cost $51.21, we use the concept of unit price. The unit price is the cost for one unit of an item when given the total cost for multiple units.
To find the unit price of the sausage, you divide the total cost by the number of pounds.
This gives you the cost per one pound of sausage, which is what we are looking for.
Here is the step by step calculation:
First, write down the total cost for 9 pounds of sausage: $51.21.Next, write down the total number of pounds: 9 pounds.Divide the total cost by the total number of pounds to get the unit price (cost per pound): $51.21 / 9 pounds = $5.69 per pound.Therefore, one pound of the special sausage costs $5.69.
Evaluate
12P3
and
10C4
The value of the expression ¹²P₃ and ¹⁰C₄ will be 1,320 and 210, respectively.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
The value of the expression ¹²P₃ is given as,
¹²P₃ = 12! / (12 - 3)!
¹²P₃ = 12 x 11 x 10 x 9! / 9!
¹²P₃ = 1,320
The value of the expression ¹⁰C₄ is given as,
¹⁰C₄ = 10! / [(10 - 4)! x 4!]
¹⁰C₄ = 10 x 9 x 8 x 7 x 6! / (6! x 4 x 3 x 2 x 1)
¹⁰C₄ = 10 x 3 x 7
¹⁰C₄ = 210
The value of the expression ¹²P₃ and ¹⁰C₄ will be 1,320 and 210, respectively.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
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PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
Number 3 part A and B
And number 4
Solve the system by using substitution
6x+y=12
4x+6y=(-8)
what is 6.7086 rounded to the nearest tenth
Mia soccer practice started at 3:15 p.m. and ended at 4:10 p.m. how long was Mia soccer practice.
This figure is made up of a rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do not round any side lengths.
This figure is made up of a rectangle BDFE and parallelogram ABCD.
The area of this figure= Area of BDFE+Area of ABCD
Area of parallelogram=base*height and Are of rectangle= length*Width
So, Area of ABCD= CD*BH
And, Area of BDFE=BD*DF
area of this figure= BD*DF+CD*BH
From the figure CD=4 and BH=3
To find BD, Let us apply Pythagorean theorem, [tex] hypotenuse^{2} =adjacent^{2}+ opposite^{2} [/tex], to ΔBHD
[tex] BD^{2} =HD^{2}+ BH^{2} [/tex]
HD=2 and BH=3
[tex] BD^{2} =2^{2}+ 3^{2} [/tex]
[tex] BD^{2} =4+ 9=13 [/tex]
[tex] BD=\sqrt{13} [/tex]
To find DF, Let us apply Pythagorean theorem, [tex] hypotenuse^{2} =adjacent^{2}+ opposite^{2} [/tex], to ΔBHD
[tex] DF^{2} =DG^{2}+ GF^{2} [/tex]
DG=6 and GF=9
[tex] DF^{2} =6^{2}+ 9^{2} [/tex]
[tex] DF^{2} =36+ 81=117 [/tex]
[tex] BD=\sqrt{117}=3\sqrt{13} [/tex]
[tex] BD=\sqrt{13} and DF=3\sqrt{13} [/tex]
area of this figure= BD*DF+CD*BH
area of this figure= [tex] \sqrt{13} [/tex]*3[tex] \sqrt{13} [/tex]+4*3
area of this figure=13*3+12
area of this figure=39+12=51
Area of this figure=51 square units
A CD usually sells for $14 if the CD is 30% off and still taxes 8% what is the total price of the CD including tax
Tamara need tiles to make a border for her bathroom wall.The border will be 9 feet long and 1/3 foot wide.Each tile measures 1/3 foot by 1/3 foot.Each box of tiles contains 6 tiles.How many boxes of tiles doe Tamara need?Write two equations that can be used to solve the problem.
Answer:
e
Step-by-step explanation:
Final answer:
Tamara needs 5 boxes of tiles to complete her bathroom wall border. The calculations involve finding the total area of the border, the area covered by one tile, and then determining the total number of tiles and boxes required.
Explanation:
To determine how many boxes of tiles Tamara needs for her bathroom wall border, we first calculate the total area of the border and then divide that by the area of an individual tile. The area of the border is obtained by multiplying its length by its width. Then, knowing that each box contains 6 tiles, we calculate how many boxes she needs.
The area needed = Length of border × Width of border = 9 feet × \(1/3\) foot.Each tile covers an area = \(1/3\) foot × \(1/3\) foot.Therefore, the number of tiles needed = Total area needed / Area covered by one tile.Finally, the number of boxes needed = Number of tiles needed / 6 (since each box contains 6 tiles).First Equation
Area of border = 9 × \(1/3\) = 3 square feet.
Second Equation
Number of tiles = 3 / (\(1/3\) × \(1/3\)) = 3 / \(1/9\) = 27 tiles.
Therefore, the number of boxes needed = 27 / 6 = 4.5.
Since Tamara cannot purchase half a box, she would need to round up to 5 boxes in total to complete the border.
If you use your office computer 40 hours per week, and do not unplug the computer when it is not in use, how much carbon dioxide is produced from the “vampire energy” used by the computer in one year?
Final answer:
A computer that uses 4W of power during 'vampire' mode over weekends throughout a year produces approximately 4.992 kg of CO2 annually. This is calculated by multiplying the total hours in vampire mode by the power consumption and then by the CO2 emission factor for electricity.
Explanation:
To calculate the amount of carbon dioxide produced from the vampire energy used by a computer that is not unplugged, we first have to establish the power consumption while in 'vampire' mode. The power consumed by the computer's LED when it is turned off but not unplugged is stated to be about 4 watts (W).
A year has 52 weeks, and each weekend amounts to 60 hours of the computer being in 'vampire' mode. To find the total number of hours in a year this mode occurs, we multiply 60 hours by 52, which gives us 3,120 hours of energy consumption annually when the computer is in 'standby' mode.
Next, to convert the total power consumed in watts to kilowatt-hours (kWh), we divide the power in watts by 1,000 (since 1 kW = 1,000 W), and then multiply by the total hours per year.
The carbon dioxide emissions can be estimated using an average emission factor for electricity production. For example, if we assume that the emission factor is about 0.4 kilograms of CO2 per kWh (which varies based on local energy sources), we can calculate the total emissions for the computer's vampire energy consumption.
Calculations: 4 W ÷ 1,000 = 0.004 kW
0.004 kW × 3,120 hours/year = 12.48 kWh/year
12.48 kWh/year × 0.4 kg CO2/kWh = 4.992 kg CO2/year
Therefore, the computer produces approximately 4.992 kg of CO2 annually from vampire energy when not unplugged over weekends.
the solution for which of the following requires use of absolute value?
a: At a school fundraiser, students washed twenty cars for 5$ per vehicle. Each driver donated and additional $3-$5. How much money was raised.
b: A local merchant donates 10% of her sales on the first day of each month to a local cause. if her annual donations total $1500 what is her average daily sales?
c: If gas cost $3.50 per gallon, how much did Celia pay to fill her tank with 8.2 gallons?
d: Marissa ran a half marathon (about 13.1 miles) in 2 hours and 4 minutes. what was her speed?
Just 14 and 15 please
The number above the fraction bar in a fraction is called the?
The area of a parallelogram is 60 feet the height 5 feet how long is the base
Please show me the work thank you
Prove that (n+1)^2 - (n-1)^2 is always odd for all positive integer values of n.
Which point is the solution to the following system of equations
On a piece of paper, use a protractor to construct a triangle with angle measures of 60° and 80°.
A triangle with angle measures of 60° and 80° is_____triangle.
which number is greater than -24
(A) -42
(B) -27
(C) -16 (my answer **)
(D) -30
How do I fill this table in?what are the answers?
its to plot a graph.
plz show working!
simplify 2d(3) expression
Final answer:
The expression 2d(3) is simplified by multiplying 2 by 3, yielding 6, and then by d, resulting in 6d.
Explanation:
To simplify the expression 2d(3), you simply need to multiply the variable d by the number 2 and then multiply the result by the number inside the parentheses, which is 3. This is straightforward multiplication, similar to the distributive property used in algebra to simplify expressions.
The simplified form of the expression is found by multiplying 2 by 3, giving us 6, and then multiplying that result by d. Hence, 2d(3) simplifies to 6d.
Seventy-five bottles of water are randomly tested from the large inventory in a warehouse. Which term refers to the large inventory of water bottles in the warehouse? A) outlier B) parameter C) population D) sample
-2x+6y=12 in graph ???
James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?
solve for f
d=16ef^2
Here are a bunch of CORRECT answers. Your answer is in the first pic. I got number 3 wrong, but it still showed the correct answer.
marcela made 4 out of 16 free throws. write the fraction of free throws she made in simplest form
Answer:
1/4
Step-by-step explanation:
Final answer:
The fraction of free throws Marcela made in simplest form is 1/4.
Explanation:
Marcela made 4 out of 16 free throws. To express this fraction in simplest form, we divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor. In this case, the greatest common divisor of 4 and 16 is 4.
To simplify the fraction:
Divide the numerator (4) by 4, which equals 1.Divide the denominator (16) by 4, which equals 4.Therefore, the fraction of free throws Marcela made in simplest form is 1/4.
The price of a t-shirt is $50. If you buy 4 shirts, you will get 10% discount. How much do you have to pay if you buy 8 shirts?
What is the volume of an aquarium that is 2 yards wide, 1.5 yards deep, and 1 1/3 yard long?
If two parallel lines are cute by a transversal, then pairs of corresponding angles are _____?
q^2 + 11qr + 18t^2
x^2 - 14xy - 15y^2
Write a real world problem using mixed numbers whose sum is 1 3/5
Final answer:
Sarah has 1 1/5 cups of nuts and must add 2/5 cup of dried fruit to make a total of 1 3/5 cups of trail mix.
Explanation:
Imagine Sarah is making a trail mix for a hiking trip. She already has 1 1/5 cups of nuts and wants to add more dried fruit to reach a total of 1 3/5 cups of trail mix. To find out how much dried fruit she should add, we can set up the equation:
1 1/5 + x = 1 3/5
Converting mixed numbers to improper fractions gives us:
6/5 + x = 8/5
Subtracting 6/5 from both sides, we find that x (the amount of dried fruit to be added) is:
x = 8/5 - 6/5
x = 2/5
Therefore, Sarah needs to add 2/5 cup of dried fruit to the nuts to make 1 3/5 cups of trail mix.