The perimeter of the woods behind Adam’s house, which is shaped as a rectangle, is calculated by the formula 2(length + width), substituting the given values we get 38 m.
Explanation:The subject of this question involves calculating the perimeter of a rectangle, in this case, the size of the woods. Perimeter is calculated by adding all the sides of a figure, and for a rectangle, you can calculate it using the formula: 2(length + width).
Given that the length of the woods is 15 m and the width is 4 m, we can substitute these values into the formula like this: 2(15m + 4m) = 2(19m) which gives us a total perimeter of 38 m.
To visualize this, if an average male is about two meters tall, around 19 men laid end to end would cover the total perimeter of the woods.
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Alvin is 6 years older than Elga. The sum of their ages is 106 . What is Elga's age?
how do you subract polynominals plz explain
What is 60% off of 33.00
To find 60% off of $33.00, you multiply 33 by 60, then divide the product by 100. The result is $19.80, which is the discount amount. So after the discount, the cost is $13.20.
Explanation:To find out what 60% off of $33.00 is, you need to multiply 33.00 by 60 and then divide that product by 100, as percentages are always out of 100. Here's the process:
Multiply 33.00 by 60 to get 1980.00. Then divide 1980.00 by 100 to convert the result into a dollar amount. You get 19.80.
So, 60% off of $33.00 equals $19.80. Hence, after a 60% discount, you would pay $13.20 (33 - 19.80), as this is the remaining cost after the discount has been applied.
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Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains
4
liters of natural oil for every
5
liters of synthetic oil. If
296
liters of natural oil are used, how many liters of Petrolyn oil will be made?
Ron is five years older than twice his cousin Pats age. The sum of their ages is less than 35.
What is the greatest age that Pat can be.
A) 7
B)8
C)9
D)10
Answer:
C. 9
Step-by-step explanation:
Ron is five years older than twice his cousin's age. Lets assume that Pat's age is 'x' years.
So Ron's age is [tex]2\times x+5=2x+5[/tex]
The question says:
[tex]x+2x+5<35[/tex]
[tex]3x+5<35[/tex]
[tex]3x<35-5[/tex]
[tex]3x<30[/tex]
[tex]x<10[/tex]
Pat's age [tex](x)[/tex] should be less than 10. Therefore, the greatest age (in integer) that Pat can be is 9 years.
Factor the expression -24x+32
How do I construct angle XYZ with a measure of 2 times the measure of angle ABC
The selling price s, of an item is s=c+me, where c is the cost of the item and m is the percent markup based on the cost. What is the formula solved for m?
Suppose g is an odd function and let h = f ∘ g. is h always an odd function?
Final answer:
The composition h = f о g is only guaranteed to be an odd function if both g and f are odd functions. If f is an even function or neither odd nor even, h will not necessarily be an odd function. The property of the composition depends on the nature of both functions involved.
Explanation:
Whether the composition of functions h = f о g is always an odd function when g is an odd function depends on the nature of f. If g(x) is an odd function, it follows that g(-x) = -g(x). However, for h to also be odd, f must satisfy the condition h(-x) = -h(x). This can only be the case if f is also an odd function.
If f were an even function, then f(g(-x)) = f(-g(x)) would equal f(g(x)) due to the even property of f. In this scenario, h would not be an odd function since h(-x) = f(g(-x)) = f(g(x)) = h(x), which violates the definition of an odd function.
When an odd function and an even function are multiplied, the result is an odd function, as exemplified by g(x) = x³ - 3x and h(x) = x². But when composing functions, the outer function's properties dominate the result. Therefore, the composition h = f о g can only be assured to be odd if f itself is odd.
what is the result of converting 8 gallons to quarts ? remember , there are 4 quarts in a gallon
Answer: 32 quarts
Step-by-step explanation:
We know that there area 4 quarts in one gallon.
i.e.[tex]1\text{ gallon}=4\text{ quarts}[/tex]
Now, to convert 8 gallons into quart we need to apply unitary method.
Using unitary method , to convert 8 gallons into quart , multiply 8 to 4 , we get
[tex]8\text{ gallon}=8\times4\text{ quarts}\\\\\Rightarrow\ 8\text{ gallon}=32\text{ quarts}[/tex]
Hence there are 32 quarts in 8 gallons.
There are 32 quarts in 8 gallons of quantity.
The given quantity is 8 gallons.
We know that, 1 gallon = 4 quarts
Here, 8 gallons = 8×4
= 32 quarts
Therefore, there are 32 quarts in 8 gallons of quantity.
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paige deposited $490.28 in a savings account that earns 3.7% simple interest. what is paige’s account balance after eleven years
How long will it take to have R30 000 for a trip to Europe if I invest R20 000 now at 15% per year,
compounded quarterly?
Write an equation of a vertical line passing through the point (5,-4). Show all work.
Which is a way to check the answer 120 divided by 4 = 30
Suppose you write a sum of numbers as a product of their GCF and another sum. What is the GCF of the number in the other sum? Explain
The amounts of industrial waste generated in a region during two years were 31,900,000 tons and 53,400,000 tons. What was the total industrial waste generated over these two years in the region, expressed in scientific notation?
The inner dimensions of an in-ground swimming pool are: width = 13.0ft, length = 18.0 ft, and depth = 9.0ft. the pool walls and the bottom are uniformly 1.0 ft thick and made of concrete. what is the total concrete surface area of the pool in units of ft2?
Study the Proof Given.
List the reasons for Items 2,3, & 4.
Right the number and then the answer.
What is the slope of line represented by 1/8x + 3y =3
Match the following:
Question 1 options:
√−1
-1
-i
1
Answer options
i2
i
i3
i4
The sum of three consecutive even integers is 174 what are the integers?
The required three consecutive even integers are 56, 58, and 60.
Given that,
The sum of three consecutive even integers is 174 what are integers is to be determined?
Arithmetic progression is the series of numbers that have common differences between adjacent values
Here,
Let the three even integers be 2x, 2x+ 2 and 2x + 4
Now, accoding to the question,
2x + 2x + 2 + 2x + 4 = 174
6x + 6 = 174
x = 28
Now,
2x =28 * 2 = 56
2x + 2 = 56 + 2 = 58
2x + 4 = 56 + 4 = 60
Thus, the required three consecutive even integers are 56, 58, and 60.
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Andrea is selling candles as a fundraiser. she spent $50 on supplies for making the candles. she plans to sell the candles for $10 each. her profit can be modeled by c(x)=10x-50. what is the domain and range of the function
The domain will consist of all non-negative real numbers (x ≥ 0).
And, the range will consist of all real numbers (-∞, +∞).
Given that;
The function is,
c (x) = 10x - 50
Now for the domain and range of the function c(x) = 10x - 50,
Since the domain refers to all the possible input values (x) for the function.
In this case, since c(x) represents the profit from selling candles, x would represent the number of candles sold.
The number of candles sold cannot be negative, as it wouldn't make sense to sell a negative number of candles.
So, the domain will consist of all non-negative real numbers (x ≥ 0).
And, The range refers to all the possible output values (c(x)) of the function.
In this case, c(x) represents the profit. The profit can be any real number because it can be positive, negative, or zero.
Therefore, the range will consist of all real numbers (-∞, +∞).
Thus, Domain: All non-negative real numbers (x ≥ 0).
Range: All real numbers (-∞, +∞).
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What is the solution to the equation using the replacement set {2, 3, 4} 6+x/2=8
The sum of a number and its square is 210. find the number(s).
The required number, whose sum with its square is 210, is -15 and 14.
Given that,
The sum of a number and its square is 210. To determine the number(s).
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the number be x,
according to the question,
x + x² = 210
x² + x -210 = 0
x² + 15x - 14x - 210 = 0
x(x + 15) -14 (x + 15) = 0
(x + 15)(x - 14) = 0
x = -15 and 14
Thus, the required number, whose sum with its square is 210, is -15 and 14.
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-3(-7p-6) -7< p -29 how to do
A snowmobile traveled 32 miles in 2 1/3 hours. The distance is the product of the rate and the time. To the nearest tenth, what was the average speed of the snowmobile? Enter your answer in the box.
divide 32 miles by 2 1/3 hours
32/2.33333 = 13.7143
to nearest tenth = 13.7 miles per hour
Answer: [tex]13.7\text{ miles per hour}[/tex].
Step-by-step explanation:
Given : A snowmobile traveled 32 miles in [tex]2\dfrac{1}{3}[/tex] hours i.e.[tex]\dfrac{7}{3}[/tex] hours.
The distance is the product of the rate and the time.
i.e. The formula we use to find the average speed is given by :-
[tex]\text{Average Speed}=\dfrac{\text{Distance}}{\text{Time}}\\\\\Rightarrow\ \text{Average Speed}=\dfrac{32}{\dfrac{7}{3}}=\dfrac{32\times3}{7}=13.7142857143\approx13.7\text{ miles per hour}[/tex]
Hence, the average speed of the snowmobile was [tex]13.7\text{ miles per hour}[/tex].
A truck travels on the highway at a speed of 72 miles per hour. What is the speed of the truck in feet per second
1 mile = 5280 feet
1 hour = 3600 seconds
72 * 5280 = 380160 feet per hour
380160/ 3600 = 105.6 feet per second ( round answer if needed)
What is the length of line segment KJ?
A. 2√3 units
B. 3√2 units
C. 3√5 units
D. 3√3 units
Answer:
the answer is the option C
[tex]KJ=3\sqrt{5}\ units[/tex]
Step-by-step explanation:
we know that
The triangle KMJ is a righ triangle
so
Applying the Pythagoras Theorem
[tex]KJ^{2}=KM^{2}+MJ^{2}[/tex]
in this problem we have
[tex]KM=6\ units[/tex]
[tex]MJ=3\ units[/tex]
substitute
[tex]KJ^{2}=6^{2}+3^{2}[/tex]
[tex]KJ^{2}=45[/tex]
[tex]KJ=\sqrt{45}=3\sqrt{5}\ units[/tex]
solve
5x+3y=-27
-9x+2y=19
Please help don’t know how to do it iv tried and can’t figure it out. Please help thank you!