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?
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
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
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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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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What is 6476 divided by 12?
7 + z < 3
Can someone help me solve this inequality please?
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.
Each Day Marvin exercises for 48 minutes.How many days will it take him to exercise for 576 minutes?
By dividing the total desired exercise minutes (576) by the daily exercise duration (48 minutes), we find that Marvin will need 12 days to reach 576 minutes of exercise.
Explanation:To calculate how many days it will take Marvin to exercise for a total of 576 minutes, given that he exercises for 48 minutes each day, we divide the total minutes he wants to achieve by the number of minutes he exercises daily.
Total minutes desired: 576 minutes
Daily exercise duration: 48 minutes
To determine the number of days required, we perform the following calculation:
Divide 576 by 48.The result is the number of days Marvin needs to exercise to reach 576 minutes.576 minutes ÷ 48 minutes/day = 12 days
Therefore, it will take Marvin 12 days of exercising for 48 minutes each day to accumulate 576 minutes of exercise.
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.
How many weeks will the cat food last?
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:
How many times does 19 go into 115
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
What is standard form
Cameron book log show that he read a total of 4 1/4 hours last month. How many minutes is that?
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
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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The cost of 4 pounds of patatoes is 3.50. How many pounds of potatoes can you buy with $14.
Nathan is making beaded bracelet for every 5 red beads there are 3 white beads. What is the ratio red to white beads?
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
which shows faster decay 0.8 or 0.9
A car uses 20 gallons of fuel to travel 440 miles. How much fuel will the car use to travel 1054 miles
Michelle wants to save $150 for a trip to the six flag amusement park. If she saves $12 each week, how many weeks will it take her to save enough money for the trip
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
Simplify 0.75 (5v+11)-0.25 (11+v)
there are 239 people in the first 6 rows of a movie theater if the same number of people are in the next 6 rows about how many people are in the first 12 rows ?
In the first twelve-row, the total number of people is 478 and this can be determined by using the arithmetic operations.
Given :
The total number of people in the first six rows is 239.
The same number of people are in the next 6 rows.
Arithmetic operations can be use to determine the total number of people in the first twelve rows.
Given that there are 239 people in the first six rows and the same number of people in the next six rows. Therefore, in the next six-row, the total number of people are 239 as well.
Therefore, in the first twelve-row the total number of people = 239 + 239
= 478.
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Is this Scientific Notation? 0.4 x 10^25
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?
what is 2.25 as a fraction