Answer:
C
Step-by-step explanation:
The area of a rectangle is 96 square feet. The ratio of the width to the length is 2:3. The width of the rectangle is how many feet?
The width of the rectangle, with an area of 96 square feet and a width-to-length ratio of 2:3, is 8 feet.
The student asked to find the width of a rectangle given that the area of the rectangle is 96 square feet and the ratio of the width to the length is 2:3.
To solve this, first let's assign variables to the dimensions of the rectangle. Let the width be 2x feet and the length be 3x feet, where x is a common multiple. Since the area of a rectangle is the product of its width and length, we can set up an equation:
(2x) × (3x) = 96
Solving for x gives:
6x^2 = 96
x^2 = 16
x = 4 feet
Now that we have the value of x, we can find the width by multiplying x by 2:
Width = 2x = 2(4 feet) = 8 feet
Therefore, the width of the rectangle is 8 feet.
What is the sum of 1/4 and 1/5?
The U in the upper right corner stands for the
bigger set
universal set
infinite set
complement
Answer:
Universal set
Step-by-step explanation:
We need to find U in the upper right corner stands for what
Option 1 : bigger set
We cannot say this a bigger set without comparing it with another sets and since it is also containing another sets So, it is not said to be a bigger set.
Option 1 is wrong .
Option 2 : Universal Set
Definition of Universal Set : The set which contains all elements or all objects and of which all other sets are subsets.
Since we can see that SET M and SET N are contained in SET U
Thus U is a universal set.
Option 2 is correct .
Option 3: infinite set
we can see in the figure that it is finite set .
So, it is not infinite set.
Option 3 is wrong .
Option 4: complement
it is not a complement set (refer given figure )
Option 4 is wrong .
fill in the blank
1. x-7>10
x>____
Is 8.92 greater or less than 8.9
The population of a small town increased by 25% two years ago and then decreased by by 25% last year. The population is now 4500 persons. What was the population before the two changes?
Which of these statements about statistical models is true? I. Statistical models help better understand real-world systems. II. Statistical models represent the real world. III. Statistical models help predict future behavior.
Final answer:
Statistical models help understand real-world systems, represent simplified versions of reality, and aid in predicting future behavior. However, they are not perfect and contain uncertainties.
Explanation:
The question at hand is about statistical models and their characteristics. Statistical models do indeed serve several key functions, and among the statements listed, all are true to a certain extent:
Statistical models help better understand real-world systems by simplifying complex phenomena and making them more approachable for analysis.Statistical models represent the real world, but it is important to note that they are simplifications and may not capture all the nuances of real-world behavior.Statistical models help predict future behavior by using historical data and probabilistic methods to make informed guesses about what might happen under similar circumstances.However, it is crucial to remember that while statistical models are powerful tools for interpretation and prediction, they are not perfect representations of reality and come with inherent uncertainties and limitations.
Solve the system of equations by using substitution y=x 10 and x=8-2y
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Find the balance in the account.
$700 principal earning 5%, compounded monthly, after 9 years
A: $79,380.00
B: $1,085.93
C: $1,096.79
D: $16,088.19
Jon earns $180 per week plus $25 for each sale.write an inequality to represent how many sales he at least $500
The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. Which sentence most closely summarizes the data?
About 160 people weigh more than 165 pounds.
About 320 people weigh more than 165 pounds.
About 320 people weigh less than 165 pounds.
About 640 people weigh less than 165 pounds.
The correct summary of the data is that about 160 people weigh more than 165 pounds, based on the empirical rule for a normal distribution.
Explanation:To summarize the data of the measured weights of 1,000 men in a certain village, which follows a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds, we can use the empirical rule (68-95-99.7). According to this rule, approximately 68% of data values fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.
In this context, since 165 pounds is one standard deviation above the mean (150 + 15 = 165), it means approximately 16% of men (100% - 84%) will weigh more than 165 pounds, which translates to about 160 people (0.16 * 1000).
Therefore, the correct summarization is: About 160 people weigh more than 165 pounds.
Hey anyone cane u answer these two questions and explain and show your work how u got the answer please. Step by step. Thank you!
Which expression is equivalent to 4t + 3t?
Final answer:
The expression that is equivalent to 4t + 3t is 7t, as you combine the like terms by adding their coefficients.
Explanation:
The student has asked which expression is equivalent to 4t + 3t. This is a problem in basic algebra and involves combining like terms. To find the equivalent expression, we simply add the coefficients (numbers in front of the variable 't') together. Since both terms have the same variable 't', we combine 4 and 3 to get 7. Therefore, the equivalent expression to 4t + 3t is 7t.
How many ways can you make 17 as the product of two numbers in multiplication?
Which statement is modeled by the expression?
150/k
The Henderson family drove 150 miles each day of their vacation. If their vacation lasted for k days, then 150/k is the total number of miles they traveled on their vacation.
The cafeteria has a capacity of 150 seats. If k is the number of people in the cafeteria at lunch time, then 150/k is number of seats that were not used at lunch time.
A librarian had 150 books to be placed on shelves with an equal number of books on each shelf. If k is the number of shelves to be used, then 150/k is the number of books on each shelf.
Cory had 150 dollars in his savings account. He withdrew k dollars to buy a catcher's mitt. He then had 150/k dollars left in his savings account.
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The answer would be A librarian had 150 books to be placed on shelves with an equal number of books on each shelf. If k is the number of shelves to be used, then 150/k is the number of books on each shelf.
Explanation: Lets see Option 1 is obviously out Option 2 does not make
sense When it comes to option 3 that makes the most sense Option 4 could be right but option 3 is the best and correct answer
So that's your answer
Hope This Helps :)
-Sprinkles
3x^2 + 5x =8
Solve with the quadratic formula. I messed up somewhere in my solving... Steps would be great~!
Richie wants to paint his bedroom ceiling in for walls. The ceiling in each of the walls are 8' x 8'. A gallon of paint covers 40 ft.². Write an expression that can be used to find the number of gallons of paint Richie needs to buy period
Is x – 3 a factor of the polynomial p(x) = 2x^4– 9x^3 + 15x^2 – 22x + 12, and for what reason?
A) Yes, because p(3) is equal to 0.
B) Yes, because p(–3) is equal to 0.
C) No, because p(3) is not equal to 0.
D) No, because p(–3) is not equal to 0.
A bakery uses 3/10 of a cup of flour in one batch of biscuits. the bakery used 3/5 of a cup of flour yesterday. how many batches of biscuits did the bakery make?
Answer:
Step-by-step explanation:
A laboratory technician needs to make a 40-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?
To make a 40-liter batch of a 40% acid solution, the laboratory technician can combine a batch of pure acid with another batch that is 20% acid.
Explanation:To make a 40-liter batch of a 40% acid solution, the laboratory technician can combine a batch of pure acid with another batch that is 20% acid. Here is a step-by-step process:
Let's assume the volume of the pure acid solution is x liters.The volume of the 20% acid solution needed can be calculated using the equation: (40 - x) = 0.2(x), where 40 - x is the volume of the 20% acid solution required and 0.2(x) is the volume of acid in that solution.Solving the equation, we get 40 - x = 0.2x, which simplifies to 1.2x = 40. This equation can be solved to find x, which represents the volume of the pure acid solution.Once x is found, the volume of the 20% acid solution can be calculated by subtracting x from 40.The laboratory technician can mix x liters of pure acid with (40 - x) liters of the 20% acid solution to obtain the desired concentration of 40% acid in a 40-liter batch.Therefore, the laboratory technician can combine a batch of pure acid with another batch of 20% acid to obtain a 40-liter batch of a 40% acid solution.
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which two square roots are used to estimate the square root of 42
25, 36
36,49
46,64
or 25,64
The khan's car averages 22 miles per gallon of gas. predict how far they can travel on 5 gallons of gas.
Answer:
110 miles
Step-by-step explanation:
If EACH GALLON of gas gives 22 miles, 5 GALLONS will give 5 times that. So,
[tex]22*5=110[/tex]
So in 5 gallons, Khan's should get around 110 miles
Taking the speed of the radio signal as 3×108 m/s, calculate the time taken for a signal to reach a GPS receiver from a GPS satellite at a position 21 000 km distant from the receiver. Assume that the speed of the signal is unchanged over the whole path length. Express your answer in milliseconds
Solve by elimination
-3x+2y=10
-2x-y=-5
What's does tumultuously mean??
Answer:yeah what they said
Step-by-step explanation:
4 tens 19 tens 22 ones
According to rule of mathematics, these given numbers will be presented according to their respective decimal places:
Step-by-step explanation:
4 tens can be represented as 40.
19 tens can be represented as 190.
22 ones are simply 22.
Twice a number is 36 less than -104. Find the number
The question 'twice a number is 36 less than -104' is an algebraic problem which can be solved by simplifying the equation '2x = -104 - 36' and dividing through by two. The solution to the equation is x = -70.
Explanation:The problem presented is a simple algebraic equation. The question is: Twice a number is 36 less than -104. This can be expressed with the equation 2x = -104 - 36.
To solve for x, we first simplify the right side of the equation: 2x = -140. Next, we isolate x by dividing both sides of the equation by 2: x = -140 / 2. So, the number x is -70.
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A father and his daughter together weigh seven times the daughter's weight x. The father weighs 180 lbs. Which equation can be used to find the daughter's weight?
A. 180-7x = x
B. x -180 = 7x
C. 180 -x = 7x
D. 180 + x = 7x
...?
What is 0.666 in a fraction?
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Which equation is related to 89 = x + 61?
A. x = 150
B. 61 = 89 + x
C. x = 28
D. x = 18