Answer:
B
Step-by-step explanation:
Edge 2021
A plane has 360 total seats, which are divided into economy class and business class. For every 13 seats in economy class, there are 5 seats in business class.
13 +5 =18
360/18=20
13*20 = 260
5*20 =100
260 economy & 100 business
Do as follows:
13 +5 =18
360/18=20
13*20 = 260
5*20 =100
260 economy & 100 business
how many cookies will tony have if he bakes 5 more batches y=90+ 14 (x)
replace x with 5
y=90+14(5)
14*5 =70
90+70 =160
y=160
he will have 160 cookies
Answer:
Given the equation:
[tex]y = 90+14x[/tex] .....[1]
where,
y represents the total number of cookies and
x represents the number of batches bake.
From the statement:
we have;
x = 5
Substitute in [1] we have;
[tex]y = 90+14 \cdot 5 = 90+70 = 160[/tex]
Therefore, 160 cookies will tony have if he bakes 5 more batches
David drives 210 miles a week for work. He fills his petrol tank twice a week. Each fill up is for 42 litres. Assuming he uses all of the petrol each week and only uses the car to travel to and from work, what is the mileage per litre of his car?
find the area of one segment formed by a square with sides of 6 inches inscribed in a circle (hint: use the ratio of 1:1:square root of 2 to find the radius of the circle)
To find the area of a segment formed by a square inscribed in a circle, calculate the circle's radius from the square's diagonal, then find the circle's area and divide by 4. The area of one segment is approximately 14.14 square inches.
Explanation:Finding the Area of a Segment in an Inscribed Circle
To find the area of one segment formed by a square with sides of 6 inches inscribed in a circle, we first need to determine the radius of the circle. The given ratio of 1:1:square root of 2 is key here. In a right-angled triangle with sides of equal length (1:1), the hypotenuse will be the square root of 2, according to the Pythagorean theorem. Since the diagonal of the square is the diameter of the circle, and the square has sides of 6 inches, we can calculate the diameter (d) of the circle as:
d = 6 inches × square root of 2
Therefore, the radius (r) is half of that:
r = (6 inches × square root of 2) / 2 = 4.24 inches (approximately)
With the radius, we can calculate the area (A) of the circle:
A = πr² = 3.1415927… × (4.24 inches)²
A ≈ 56.55 square inches (to two significant figures)
Now, the area of one segment is the area of the circle divided by the number of segments, with this particular scenario having 4 equal segments:
Area of one segment = Total area / 4
Area of one segment ≈ 56.55 square inches / 4 = 14.14 square inches (approximately)
The area of one segment formed by the inscribed square in the circle is approximately 14.14 square inches.
The area of one segment of a circle formed by an inscribed square with sides of 6 inches is approximately 14.14 square inches, calculated by first finding the radius of the circle using the 1:1:√2 ratio and then using the area formula A = πr².
Explanation:To find the area of one segment formed by a square with sides of 6 inches inscribed in a circle, we first need to calculate the radius of the circle using the given ratio of 1:1:√2. In an inscribed square, the diagonal is equal to the diameter of the circle. The diagonal of the square can be found using the Pythagorean theorem (a² + b² = c²) where a and b are the sides of the square and c is the diagonal. In this case, the diagonal is √(6² + 6²) = √(36 + 36) = √72 = 6√2 inches, which is also the diameter of the circle.
Thus, the radius (r) of the circle is half of the diameter, r = 6√2 / 2 = 3√2 inches. Now we can compute the area (A) of the circle using the formula A = πr². Plugging our radius into this formula gives us A = π(3√2)² = π(18) ≈ 56.55 square inches.
The circle is divided into four equal segments by the square, so the area of one segment is one-fourth of the total area of the circle. Therefore, the area of one segment is approximately 56.55 / 4 = 14.14 square inches.
If x and y are both negative when is x-y positive
What is the sum of the two vectors (2,-1) and (3,3)?
(06.01)Which point on the scatter plot is an outlier?
Point H
Point I
Point J
Point K
You invest a total of $5800 in two investments earning 3.5% and 5.5% simple interest. Your goal is to have a total annual interest income of $283. Write a system of linear equations that represents this situation where x represents the amount invested in the 3.5% fund and y represents the amount invested in the 5.5% fund. Solve this system to determine the smallest amount that you can invest at 5.5% in order to meet your objective.
When you are doing an experiment that will have multiple trials, how do you handle averages?
Write logbx + logby - logbz as a single logarithm.
what rotation will map the figure onto itself?
The correct answer is 180° about the center.
To map the given figure onto itself, we need to find the rotational symmetry. Let’s analyze the “X” shape:
A 90° rotation would not work because it would overlap the arms of the “X.”
Similarly, a 270° rotation would also result in overlapping arms.
A 45° rotation would not preserve the original shape due to the asymmetry of the “X.”
However, a 180° rotation about its center will bring each arm of the “X” back to a position occupied by another arm, effectively mapping it onto itself. An “X” has rotational symmetry at 180°; every half turn gives us an identical view.
The correct answer is 180° about the center. This specific degree of rotation is required due to the symmetrical nature of an “X” shape where each arm aligns with another after being rotated by this angle.
ASAP helppppppppppp!!!!!
Simplify.
3 square root of -27n^27
A. 3n^3
B. -3n^3
C. -3n^9
Sammy borrowed $10,000 to purchase a new car at an annual interest rate of 11%. She is to pay it back in equal monthly payments over a 5-year period. How much total interest will be paid over the period of the loan? Round to the nearest dollar.
One of the UK lottery systems consists of selecting six numbers from forty-nine for a one-pound stake. The winning numbers are drawn at random and the order is not important. Determine the probability that a randomly selected set of six numbers will win the lottery.
4.167 × 10-6
8.63 × 10-7
5.467 × 10-6
7.15 × 10-8
The answers is D.)7.15 × 10-8
Answer:
7.15 × 10-8 0 or 7.15 * 10^-8
Step-by-step explanation:
(6!(49 - 6)!)/49!
720/10068347520
= 7.15 * 10^-8
I hope this answer gives you an idea of the process used to find the answer.
I REALLY NEED YOUR HELP!!! PLEASE!!!!!
A store is selling two mixtures of nuts in 20-ounce bags. The first mixture has 15 ounces of peanuts combined with five ounces of cashews, and costs $4.25. The second mixture has five ounces of peanuts and 15 ounces of cashews, and costs $6.75. How much does one ounce of peanuts and one ounce of cashews cost?
Select one:
a. $0.40 for peanuts and $0.15 for cashews
b. $0.15 for peanuts and $0.40 for cashews
c. $0.12 for peanuts and $0.49 for cashews
d. There is no solution.
The cost of one ounce of peanuts is $ 0.15 and the cost of one ounce of cashews is $ 0.40. Then the correct option is B.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A store is selling two mixtures of nuts in 20-ounce bags.
The first mixture has 15 ounces of peanuts combined with five ounces of cashews and costs $4.25.
The second mixture has five ounces of peanuts and 15 ounces of cashews and costs $6.75.
Let the cost of one ounce of peanuts be x and one ounce of cashews cost be y. Then we have
15x + 5y = 4.25 ...1
5x + 15y = 6.75 ...2
By solving equations 1 and 2, Then we have
x = $ 0.15 and y = $ 0.40
Then the cost of one ounce of peanuts is $ 0.15 and the cost of one ounce of cashews is $ 0.40.
More about the linear system link is given below.
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Evaluate the following expression.
153^0
0
1
153
Answer:
The answer is B = 1
Step-by-step explanation:
The exponent zero rule states that any number raised to the power of zero equals to 1 or mathematically:
x^0 = 1 for any real number x
So applying this rule
153^0 = 1 with x =153
What is the slope of any parallel line to the line 8x + 9y = 3 in the standard (x,y) coordinate plane?
Two horses are ready to return to their barn after a long workout session at the track. The horses are at coordinates H(1,10) and z(10, 1). Their barns are located in the same building, which is at coordinates B(-3,-9). Each unit/grid on the coordinate plane represents 100 meters. Which horse is closer to the barn? Justify your answer.
how to find the midpoint using coordinates A(-1,5), B(2,-3)
Carlos graphs the equations y = 0.5x^2 + 3 and y = –4x^2 + 24x – 35 and generates the graph below. Which conclusion is supported by the graph?
A. The equation 0.5x2 + 3 = –4x2 + 24x – 35 has no solutions.
B. The equation 0.5x2 + 3 = –4x2 + 24x – 35 has one solution.
C. The equation 0.5x2 + 3 = –4x2 + 24x – 35 has two solutions.
D. The equation 0.5x2 + 3 = –4x2 + 24x – 35 has three solutions.
Answer: The correct option is A. The equation 0.5x2 + 3 = –4x2 + 24x – 35 has no solutions.
Explanation:
The given equations are,
[tex]y=0.5x^2+3[/tex]
[tex]y=-4x^2+24x-35[/tex]
Since the above equations are quadratic equations, therefore they area parabola.
The coefficient of first equation is a positive therefore it is an upward parabola. The coefficient of second equation is a negative therefore it is an downward parabola.
From given figure it is noticed that the vertex of first parabola is (0,3) and the vertex of second parabola is (3,1).
The vertex is the extreme point of the parabola. So for first equation [tex]y\geq 3[/tex] and for second equation [tex]y\leq 1[/tex]. Therefore the parabolas will never intersect each other.
Since there is no intersection between parabolas therefore the equation
[tex]0.5x^2+3=-4x^2+24x-35[/tex] has no solution and the correct option is A.
What is the value stored at x, given the statements: int x; x = 3 / static_cast(4.5 + 6.4);?
The value stored at x will be 0.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ x = 3 / static_cast(4.5 + 6.4)
Now,
Since, The expression is,
⇒ x = 3 / static_cast(4.5 + 6.4)
Hence, The value of x is find as;
The operands 4.5 and 6.4 are added as;
⇒ 4.5 + 6.4 = 10.9
So, When this value is cast to int datatype, it becomes 10.
So, We get;
⇒ x = 3/10
= 0.3
Since, x in a variable of type int.
So, when a value of 0.3 is assigned to x, it is stored as 0.
Thus, The value stored at x = 0.
Learn more about the mathematical expression visit:
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A couple has 2 children. what is the probability that both are girls if the older of the two is a girl?
Calculate the upper and lower limit for a 95% confidence interval about this mean.
A family needs a new car, but isn't sure they can fit the payment into their budget. A sample of 36 months of grocery bills yields a mean of $94 with a standard deviation of $10. If the upper limit of a 95% confidence level is below $100, the family can afford to buy the car.
Standard error = (standard deviation)/(square root of sample size)
Upper limit (dollars and cents)
Lower limit (dollars and cents)
Answer:Upper limit ⇒ 94+(1.96)(10÷√36) = 94+(1.96)(10/6) = $97.27
Lower limit ⇒ 94 - (1.96)(10÷√36) = 94 - (1.96)(10/6) = $90.73
The diameter of a circle is 8 centimeters. a central angle of the circle of the circle intercepts an arc of 12 centimeters. what is the radian measure of the angle?
The radian measure of the angle is 1.5 radians.
Explanation:To find the radian measure of the angle, we need to determine the length of the arc intercepted by the angle. We know that the diameter of the circle is 8 centimeters, so the radius is half of that, which is 4 centimeters. The circumference of the circle is given by the formula C = 2πr, where r is the radius.
In this case, the arc length intercepted by the angle is 12 centimeters. We can use the formula for the circumference to find the radian measure of the angle.
C = 2πr
12 = 2π(4)
12 = 8π
Dividing both sides of the equation by 8, we get:
π = 1.5 radians
In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the graph is where the substance changes from a liquid to a solid. Explain to your fellow scientists how to find the turning point of this function?
How many microliters are in a two liter bottle of soda?
help will mark brainliest
whats the answer to this?
14/112 =0.125
2600*0.125 = 325
c) 325
Point P has coordinates (1, –3). Point W is symmetric to point P with respect to the line y = –x. What are the coordinates of point W?
(3,0)
(3, –1)
(3, –3)
(–3, 1)