Every week, Colin mows the lawn, edges the lawn, and pulls weeds. List all the possible orders in which he can take care of the yard.
Colin can complete his yard work in 6 different orders.
Colin has three tasks to complete for his yard work: mowing the lawn, edging the lawn, and pulling weeds. We can list all possible orders in which he can complete these tasks by considering each task as an item in a permutation. Since there are three tasks to arrange, there are 3! (3 factorial) possible ways to order them, which is 3 × 2 × 1 = 6 possible orders.
Mow, Edge, WeedsMow, Weeds, EdgeEdge, Mow, WeedsEdge, Weeds, MowWeeds, Mow, EdgeWeeds, Edge, MowThis list represents all the combinations that Colin can take to complete his yard work.
What is the answer 1/2k+6=4k–8
To solve the equation 1/2k + 6 = 4k - 8, subtract 1/2k from both sides, combine like terms, add 8 to both sides, combine constant terms, divide by 3.5, and solve for k to get k = 4.
Explanation:To solve the algebraic equation 1/2k + 6 = 4k - 8, we need to isolate the variable 'k' on one side of the equation. Here are the steps:
Subtract 1/2k from both sides: 6 = 4k - 1/2k - 8.Combine like terms on the right side: 6 = 3.5k - 8.Add 8 to both sides to get all constant terms on the left side: 6 + 8 = 3.5k.Combine the constant terms: 14 = 3.5k.Divide both sides by 3.5 to solve for k: k = 14 / 3.5.Calculate the division: k = 4.Therefore, the solution to the equation is k = 4.
Alison is making a 16-inch necklace. The first 4 1/4 inches are filled with red beads and 8 3/8 inches are filled with blue beads. How many inches are filled with white beads? Help me plz
A local blood drive predicts 40% of its donors will have Type O blood.Which simulation could be used to model the number of donors will have Type O blood?......................
A.) spin two spinners with 6 equal sections......................:::......::::::............B.) Draw one marble from a bag containing 4 white marbles and 10 purple marbles...................................C.)Flip a coin and roll a die 4 times.............D.)Select one card from a set containing 4 red cards and 6 black cards
Answer:
It is D
Step-by-step explanation:
you should have $16 and a coupon for a $5 discount at a local supermarket. a bottle of olive oil costs$7. how many bottles of olive oil can you buy?
With a total of $21, including the discount coupon, and each bottle of olive oil costing $7, you can buy 3 bottles of olive oil.
Explanation:In your case, you start with $16 and a $5 discount coupon to use at the local supermarket. This gives you an effective total of $16 + $5 = $21 to spend. Each bottle of olive oil costs $7. So, if you divide your total amount of money $21 by the cost of one bottle of olive oil $7, you get 21 ÷ 7 = 3. This means you can buy 3 bottles of olive oil.
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What is standard form
Each of the 18 tires of a fully loaded semi truck is bearing approximately 3,300 pounds. The unloaded truck and trailer, with the driver aboard weighs 30,000 pounds. The truck holds 26 pallets of cargo when it is fully loaded. What is the approximate average weight of one pallet of cargo? A. 1,131 lbs
B. 1,280 lbs
C. 1,633 lbs
D. 1,665 lbs
Answer: A. 1,131 lbs
Step-by-step explanation:
Given: the weight of each tire of a fully loaded semi truck = 3,300 lbs
Then the weight of 18 tires of a fully loaded semi truck = [tex]18\times 3300=59400\ lbs[/tex]
Also, the unloaded truck and trailer, with the driver aboard weighs 30,000 pounds.
Therefore, the weight of pallets = [tex]59400-30000=29400\ lbs[/tex]
Hence, the weight of 26 pallets of cargo when it is fully loaded= 29400 lbs
Now, the weight of each pallet= [tex]\frac{29400}{29}=1130.76923077\approx1131\ lbs[/tex]
∴ The approximate average weight of one pallet of cargo= 1131 lbs
The cost of 4 pounds of patatoes is 3.50. How many pounds of potatoes can you buy with $14.
How many times does 19 go into 115
You want to buy met tickets that cost $357.25. They offer 25% off the second discount of 14% off of the discounted price
Answer: $230.43
Step-by-step explanation: 357.25x25%=89.3125
Then you add it to the mets ticket which would get you 267.9375 Then you do 267.9375x14%=37.51125 then subtract that from 267.9375 and then you get 230.42
Draw and label a rectangle prism that has a surface area of 158 square yards
A rectangular prism with dimensions [tex]\(8 \times 5 \times 3\)[/tex] yards has a surface area of 158 square yards, verified by substituting into the surface area formula.
To draw and label a rectangular prism with a surface area of 158 square yards, we first need to understand the surface area formula for a rectangular prism.
The surface area \(A\) of a rectangular prism can be found using the formula:
[tex]\[ A = 2lw + 2lh + 2wh \][/tex]
Where[tex]\(l\), \(w\), and \(h\)[/tex] are the length, width, and height of the rectangular prism, respectively.
Given the surface area[tex]\(A = 158\)[/tex] square yards, we can now find different combinations of [tex]\(l\), \(w\), and \(h\)[/tex] that satisfy this equation.
One possible combination is [tex]\(l = 8\), \(w = 5\), and \(h = 3\).[/tex] Let's verify this:
[tex]\[ A = 2lw + 2lh + 2wh \][/tex]
[tex]\[ = 2(8 \times 5) + 2(8 \times 3) + 2(5 \times 3) \][/tex]
[tex]\[ = 2(40) + 2(24) + 2(15) \][/tex]
[tex]\[ = 80 + 48 + 30 \][/tex]
[tex]\[ = 158 \text{ square yards} \][/tex]
Therefore, a rectangular prism with dimensions [tex]\(8 \times 5 \times 3\)[/tex]yards will have a surface area of 158 square yards.
Now, to draw and label the rectangular prism:
- Draw a rectangular prism with dimensions [tex]\(8 \times 5 \times 3\)[/tex] yards.
- Label the length[tex](\(l\)),[/tex] width [tex](\(w\)),[/tex] and height[tex](\(h\))[/tex] accordingly.
The question probable may be:
Draw a rectangle prism that has a surface area of 158 square yards
Don breaks a 4×7 array into a 2×7 and another array. What is the fact for Don's second array?
The fact for Don's second array is 2x7, indicating there are 2 rows and 7 columns in the array.
Explanation:In this question, the student is splitting a 4x7 array into a 2x7 array, and another array.
The 4x7 array has 28 elements. After removing a
2x7 array with 14 elements, we're left with an array that also has 14 elements.
We're not given its dimensions, but if we follow the pattern of the original breakup, it could also be a 2x7 array. Therefore, the fact for the second array is 2x7.
By representing this as multiplication, we're showing that there are 2 rows and 7 columns in the array, which represents the total number of elements.
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choose exactly two that are correct
To calculate the mean of the data shown in the stem and leaf plot, paper and pencil to record work and technology to add and divide are required.
What is stem and leaf plot?A stem-and-leaf display or stem-and-leaf plot is a device for presenting quantitative data in a graphical format, similar to a histogram, to assist in visualizing the shape of a distribution.
A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
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7 + z < 3
Can someone help me solve this inequality please?
the class had a pizza party 3/8 of a pizza was left over and 4/8 of a pizza with other pizza was left over you put them both into a box how much pizza do you have all together
Nathan is making beaded bracelet for every 5 red beads there are 3 white beads. What is the ratio red to white beads?
How many weeks will the cat food last?
find the value of x and the measure of angle MNQ
The angle is given as 3x - 13 and 58. The measure of angle MNQ (3x - 13) is 32 degrees.
What are complementary angles?Two angles whose sum is 90° are called complementary angles.
The angle is given as 3x - 13 and 58.
Since the two angles within MNP equal to 90 degrees:
3x - 13 + 58 = 90
3x = 90 - 45
3x = 45
x = 15
Therefore, The measure of angle MNQ (3x - 13) = 32 degrees.
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The coordinates of point P on a coordinate grid are (−5, −6). Point P is reflected across the y-axis to obtain point Q and across the x-axis to obtain point R. What are the coordinates of points Q and R?
If an angle measures 100 degrees, through what fraction of a circle does the angle turn?
A. 1/100
B. 1/4
C. 100/360
D. 1/2
solve the system of linear equations by substitution.
4x−2y=14
y=12x−1
Answer: x=-3/5 y=-41/5
Step-by-step explanation: Rewrite equations:
y=12x−1;4x−2y=14
Step: Solvey=12x−1for y:
y=12x−1
Step: Substitute12x−1foryin4x−2y=14:
4x−2y=14
4x−2(12x−1)=14
−20x+2=14(Simplify both sides of the equation)
−20x+2+−2=14+−2(Add -2 to both sides)
−20x=12
−20x
−20
=
12
−20
(Divide both sides by -20)
x=
−3
5
Step: Substitute
−3
5
forxiny=12x−1:
y=12x−1
y=12(
−3
5
)−1
y=
−41
5
(Simplify both sides of the equation)
The system of linear equations is solved by substitution, resulting in the solution x=-3/5 and y=6.2.
Explanation:To solve the system of linear equations by substitution, start with the given system:
4x − 2y = 14
y = 12x − 1
Since y is already isolated in the second equation, substitute (12x − 1) for y in the first equation:
4x − 2(12x − 1) = 144x − 24x + 2 = 14−20x + 2 = 14−20x = 12x = −1/20 × 12x = −6/10x = −3/5Now substitute x = −3/5 into the second equation to find y:
y = 12(−3/5) − 1y = −36/5 − 1y = −7.2 − 1y = 6.2The solution for the system of equations is x = −3/5, y = 6.2.
What is 6476 divided by 12?
a student did a 340 page essay for 3/4 hours. how much would it take to do 1 page
A geologist visits 80 volcanoes in Alaska and California. What if the 70% of the volcanoes were in California? How many would the geologist have visited in California and how many are in Alaska?
which blue word comes between apple and car in the dictionary
The word that comes between apple and car in the dictionary is blue.
What is a dictionary?A dictionary is a reference book that contains an alphabetical list of words in a language or a specific field, along with their definitions, and pronunciation. It serves as a valuable tool for writers, students, and anyone who wants to improve their vocabulary and communication skills.
Dictionaries can be found in both print and digital formats. They can cover a wide range of languages, dialects, and specialized fields such as law, medicine, or science.
Some dictionaries also include other features such as synonyms, antonyms, and usage examples. They also contain illustrations to help users understand the meaning and context of words better.
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At a concert, you purchase 3 T-shirts and a concert program for a total cost of $90.The program for a total cost $15 and the T-shirts all cost the same. Write and solve an equation to find the cost of one T-shirt
To solve the problem, we created an equation representing the total cost of 3 T-shirts and a program, and then solved it to find the cost of one T-shirt, which is $25.
Explanation:Let's denote the cost of one T-shirt as 'T'. Since the total cost of 3 T-shirts and a program is $90, and we know that the cost of the program is $15, we can write our equation as follows: 3T + 15 = 90.
To solve for 'T', we start by subtracting 15 from both sides of the equation, getting us 3T = 90 - 15 = 75.
Next, we would divide both sides by 3 to find the cost of one T-shirt. Hence T = 75 / 3 = $25. So, the cost of one T-shirt is $25.
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A car uses 20 gallons of fuel to travel 440 miles. How much fuel will the car use to travel 1054 miles
what is 2.25 as a fraction
Simplify 0.75 (5v+11)-0.25 (11+v)
Is this Scientific Notation? 0.4 x 10^25