To find the maximum number of fishing lures and duck decoys Mountain Mack can carve, we need to divide his available time equally between the two activities. The maximum number of each item he can carve depends on the total hours available, the time it takes to carve a fishing lure, and the time it takes to carve a duck decoy.
Explanation:To find the maximum number of fishing lures and duck decoys that Mountain Mack could carve, we need to split his week evenly between the two activities. Let's say he has a total of 'x' hours available in a week. Since he'll be dividing his time equally, he'll spend 'x/2' hours carving fishing lures and 'x/2' hours carving duck decoys.
To put this in terms of fishing lures and duck decoys, we need to know the time it takes to carve each item. Let's say it takes 'y' hours to carve a fishing lure and 'z' hours to carve a duck decoy. The maximum number of fishing lures Mountain Mack can carve would be 'x/2y' and the maximum number of duck decoys he can carve would be 'x/2z'.
So, to find the maximum number of fishing lures and duck decoys Mountain Mack can carve, we need to know the total number of hours available in a week ('x'), the time it takes to carve a fishing lure ('y'), and the time it takes to carve a duck decoy ('z').
The arcade has 3 pinball machines and 5 video games. If a person wants to play one pinball machine and one video game, how many different combinations of games could that person play?
The number of possible combinations of playing one pinball game and one video game, given there are 3 pinball machines and 5 video games available, is 15.
Explanation:The subject of this question is combinatorics, a part of Mathematics that deals with combination and arrangement of objects. The question in essence is asking about the number of combinations one can play on a pinball machine and a video game in an arcade.
In the given context, there are 3 pinball machines and 5 video games. If a person wants to play one of each (one pinball game and one video game), we can calculate the number of combinations by simply multiplying the number of options for each game. That is, 3 pinball machines multiplied by 5 video games equals 15 different combinations.
So, there are 15 different combinations of games a person can play when selecting one pinball and one video game from the given sets.
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rip walks a total of 12 miles to and from school each week. Lindsey rides her bike a total of 56 miles to and from school each week.
Use the greatest common factor and the distributive property to complete the equation, and find the total number of miles Trip and Lindsey travel to and from school each week.
The waitress and the hostess at a restaurant share the tips at the end of the shift the average amount earned in tips between the two of them is 50$ the waitress gets $30 and the hostess gets $20 if they countine to earn money at this rate how many dollars will the waitress receive if they earn 200 at the end of the shift
Sam bought 11 pounds of rice for $7 . How many pounds of rice did he get per dollar?
what is the
equivalent to 3/6
what is 22.62 rounded to the nearest tenth
the distance from the earth to the Sun is approximately 9.3×10^7 miles. if light travels 1.2×10^7 miles in 1 minute, how many minutes does it take the light from the sun to reach the earth ?
It takes approximately 12.47 minutes for light from the Sun to reach the Earth.
Explanation:To find out how many minutes it takes for light from the Sun to reach the Earth, we can divide the distance from the Earth to the Sun by the distance light travels in 1 minute.
First, let's convert the distance from miles to kilometers. 1 mile is approximately 1.60934 kilometers, so the distance from the Earth to the Sun is approximately 1.496 × 108 kilometers.
Now, we divide this distance by the distance light travels in 1 minute: 1.496 × 108 kilometers / 1.2 × 107 kilometers per minute = 12.47 minutes.
Therefore, it takes approximately 12.47 minutes for light from the Sun to reach the Earth.
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Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2.
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x^2-3*x-(2)=0
2.1 Factoring 2x2-3x-2
The first term is, 2x2 its coefficient is 2 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
2x2 - 4x + 1x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-2)
Add up the last 2 terms, pulling out common factors :
1 • (x-2)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (x-2)
Which is the desired factorization
Method for working out 5+-2--10
How many packages of diapers can you buy with $36 when on package costs $9?
Based on the calculations, the number of diapers which can be bought with $36 is equal to $4.
Given the following data:
Cost of diaper = $9.Amount for packages = $36.How to calculate the number of diapers?In order to determine the number of diapers that can be bought with $36, we would set up a direct proportion equation as follows:
$9 = 1 diaper
$36 = X diapers.
Cross-multiplying, we have:
9X = 1 × 36
9X = 36
X = 36/9
X = $4.
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I need help with this problem
the village, 125 people were issued a parking ticket. this month only 83 people were issued one. What was the percent reduction from this month to last month in the number of people who were issued a parking ticket
Gina wants to ship 3 books that weigh 2 7/16 pounds 1 7/8 pounds and 1/2 pound the max weight she can ship is 6 pounds estimate to see if Gina can ship all 3 books.
Answer:
→Weight of First book
[tex]=2\frac{7}{16}\\\\=\frac{39}{16}[/tex]
→ Weight of Second book
[tex]=1\frac{7}{8}\\\\=\frac{15}{8}[/tex]
→Weight of Third book
[tex]=\frac{1}{2}[/tex]
→Total weight of three books
[tex]=\frac{39}{16}+\frac{15}{8}+\frac{1}{2}\\\\=\frac{39+30+8}{16}\\\\=\frac{77}{16}\\\\=4\frac{13}{16}[/tex]
→Maximum Weight of 3 books that Gina Can Ship =6 Pounds
[tex]\rightarrow 6 >4\frac{13}{16}[/tex]
Yes, Gina Can ship all 3 Books.
two trains leave the station at the same time one heading west and the other East the westbound train travels at 55 miles per hour East bound train travels at 75 miles an hour how long will it take for the two trains to be 338 miles apart
lauren is building a tree house with her dad. the dimensions of the floor are 9 feet by 6 feet. what is the area of the floor, measured in the square yards?
A. 6 square yards
B. 15 square yards
C. 30 square yards
D. 54 square yards
Answer:
The answer is A) 6 square yards.
Solve the problem. Round to the nearest cent.
Stan’s savings account has a balance of $1986. After 23 years, what will the amount of interest be at 4% compounded annually?
a.
$2908.93
c.
$2913.93
b.
$2899.93
d.
$794.40
1986*1.04^(23) = 4894.93
4894.93-1986 = 2908.93
Answer is A
Answer:
a. $2908.93
Step-by-step explanation:
We have been given that Stan’s savings account has a balance of $1986. The amount of interest be at 4% compounded annually.
To find the final amount after 23 years we will use compound interest formula.
[tex]A=P(1+\frac{r}{n})^{nT}[/tex], where,
A = Final amount,
P= Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest in compounded per year,
t = Time in years.
Let us convert our given rate in decimal form.
[tex]4\%=\frac{4}{100}=0.04[/tex]
Upon substituting our given values in above formula we will get,
[tex]A=\$1986(1+\frac{0.04}{1})^{1*23}[/tex]
[tex]A=\$1986(1+0.04)^{23}[/tex]
[tex]A=\$1986(1.04)^{23}[/tex]
[tex]A=\$1986*2.4647155431651442[/tex]
[tex]A=\$4894.9250687259763812[/tex]
To find the amount of interest we will subtract principal amount from final amount.
[tex]\text{Amount of interest}=\$4894.9250687259763812-\$1986[/tex]
[tex]\text{Amount of interest}=\$2908.925068725976\approx 2908.93[/tex]
Therefore, the amount of interest after 23 years will be $2908.93 and option a is the correct choice.
The area of a rectangular wall of a barn is 42 ft. Its length is 8 feet longer. Than twice its width. Find the length and width of the wall of the barn.
Joanne buys a rug with an areas of 35/4 square meters. The length of the rug is 7/2 meters, What is the width , in meters, of the rug?
If the point (4,-1) is a point on the graph of f, then f( )=?
A shop advertised a 23% off sale. If a coat originally sold for $258, find the decrease in price and sale price
cookies are sold singly or in packages of 12 or 36.With this packaging how many ways can you buy 72 cookies?
A garden table and a bench cost $786 combined. The garden table costs $36 more than the bench. What is the cost of the bench?
express $15 for 10 gallons a unit rate
Danika is making necklaces.she has 512 silver beads and 278 blue.About how many more silver than beads does Danika have?
Answer:
234 more silver beads.
Step-by-step explanation:
We have been given that Danika is making necklaces. She has 512 silver beads and 278 blue.
To find the number of silver beads is how much more than blue beads, we will subtract number of blue beads from silver beads.
[tex]\text{Number of more silver beads}=512-278[/tex]
[tex]\text{Number of more silver beads}=234[/tex]
Therefore, Danika has 234 more silver beads than blue beds.
There are 48 students going on a field trip. Each van holds 10 students. If every van but the last one is full, how many students will be in the last van?
In a mixture of pretzels to corn chips the ratio of pretzels to corn chips is 3 to 7. How many pretzels will be in a mixture that has 100 total pieces in it?
A grocery store has a shelf with half-gallon containers of milk. What type of number best represents the total number of gallons? Complete the statement.
Answer:
Step-by-step explanation: The half gallon milk combination is considered A Rational Number
What kind of transformation is illustrated in this figure?
dilation
translation
rotation
reflection
Triangle D E F and another triangle D-prime E-prime F-prime is of the same size, shape but turned a different angle
Size of U.S. States The total surface area (in square miles) for each of six selected eastern states is listed here.
28,995 PA
37,534 FL
31,361 NY
27,087 VA
20,966 ME
37,741 GA
The total surface area for each of six selected western states is listed (in square miles).
72,964 AZ
70,763 NV
101,510 CA
62,161 OR
66,625 CO
54,339 UT
Find the standard deviation for each data set. Which set is more variable?
Answer:
Second set.
Step-by-step explanation:
I put the formula of standart deviation in the image below.
x is each data of the list
μ is the data average
N is the amount of elements.
So, for the first list we have:
μ= [tex]\frac{28995+37534+31361+27087+20966+37741}{6}= \frac{183684}{6}=30614[/tex]
DE= [tex]\sqrt{\frac{|28995-30614|^{2}+|37534-30614|^{2}+|31361-30614|^{2}+|27087-30614|^{2}+|20966-30614|^{2}+|37741-30614|^{2}}{6} }[/tex]
= [tex]\sqrt{\frac{2621161+47886400+558009+12439729+93083904+50794129}{6} }[/tex]
= [tex]\sqrt{\frac{207383332}{6} }[/tex]
= [tex]\sqrt{ 34563888.6667 }[/tex]
= 5879.1061.
For the other list of elements:
μ= [tex]\frac{72964+70763+101510+62161+66625+54339}{6}= \frac{428362}{6}=71393.66[/tex]
DE=[tex]\sqrt{\frac{|72964-71393.66|^{2}+|70763-71393.66|^{2}+|101510-71393.66|^{2}+|62161-71393.66|^{2}+|66625-71393.66|^{2}+|54339-71393.66|^{2}}{6} }[/tex]
= [tex]\sqrt{\frac{2465967.71+397732.03+906993934.99+85242010.67+22740118.19+290861427.71}{6} }[/tex]
= [tex]\sqrt{\frac{1308701191.3}{6} }[/tex]
= [tex]\sqrt{218116865.21 }[/tex]
= 6029.32
Then, the second set is more variable.
Suppose the length of a diagonal of a square increases from 16 cm to 16.1 cm. What would the change in the area of the square be
The change in area will be such that it will increase by 1.605 or 1.25%.
What is a square?A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
Area of square = Side²
The perimeter of the square = 4× side
The area of a square with diagonal x is given as x²/2.
Area with diagonal 16 cm ⇒ 16²/2 = 128 cm²
Area with diagonal 16.1 cm ⇒ 16.1²/2 = 129.605 cm²
Change of area = 129.605 - 128 = 1.605 cm².
Percentage change = 1.605/128 x 100 = 1.25%.
Hence "The change in area will be such that it will increase by 1.605 or 1.25%".
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