Answer:
234£
Step-by-step explanation:
since mark own is the smallest let his own be x
David 3x
Dan 2(3x)
add all
10x
ten x is equal to 780£
10x=780
x=78
since david is 3x
3(78)=234
Out of a total of £780 after dividing the money between Dan, David and Mark accordingly, David gets £234.
£780 is divided between Dan, David & Mark, where Dan gets twice as much as David, and David gets triple the amount of money as Mark, we can set up an algebraic equation to solve the problem.
Let's say Mark gets x pounds. According to the information given, David would get 3x pounds. Therefore, Dan would get 2 times what David gets, which is 2 * 3x = 6x pounds.
The total amount they get is the sum of all their shares, which equals £780:
x + 3x + 6x = 780
This simplifies to:
10x = 780
Divide both sides by 10 to find the value of x:
x = 780 / 10
x = 78
Since David gets 3 times as much as Mark, we multiply 78 by 3:
David gets 3 * 78 = 234 pounds.
will award brainliest if correct
for the area of the smaller semicircles
area = 1/2 x 3.142 x 5 x 5
area = 39.275cm²
for the larger circle
area = 1/2 x 3.142 x 10x 10
area= 157.1cm²
but since part of it is out and is replaced again
..total area of shaded part is 157.1cm² + 39.275cm² - 39.275cm²
area =157.1cm²
Let the function f(x) have the form f(x) = Acos(x + C). To produce a graph that matches the one shown below, what must the value of A be?
Answer: It’s 4 they’re all wrong (pretty sure I have the same graph)
Step-by-step explanation:
A general cosine function has the form:
f(x) = A*cos(c + x)
We want to find the value of A that matches the one in the image, and we will find that A = 3
Ok, a general cosine function is:
f(x) = A*cos(c + x)
Where A is the amplitude.
To find the amplitude of a cosine function, we just need to find half of the difference between the maximum and minimum value of the function:
By looking at the given graph, we can see that the maximum is y = 3, and the minimum is y = -3
Then the amplitude is:
A = (3 - (-3))/2 = 6/2 = 3
The correct option is B.
If you want to learn more, you can read:
https://brainly.com/question/19830127
A firefighter is standing on the middlemost rung of a ladder, extinguishing a fire. In order to get a better position, the firefighter climbs 6 rungs. But due to the flames, the firefighter climbs down 10 rungs. After the fire calms down the firefighter climbs 18 rungs to reach the top rung.
How many rungs did the ladder have?
Answer:
29 rungs
Step-by-step explanation:
In this question, we are to use the climbing statistics of a firefighter to determine the number of rungs a ladder have.
Firstly, since we do not know the number of rungs but we know we are starting from the middle rung, let the middle rung be r.
From the middle rung, he climbed 6 rungs, meaning he would be on rung x + 6 ! From here he came down ten rungs, meaning he would be on rung x + 6 - 10 = x -4
Now, he climbed 18 rungs again, making x -4+18 = x + 14
This is equal to the topmost rung i.e the topmost rung is at a position x + 14
This means that the ladder must have 14 rungs above the middle , 14 below it and the middle itself
14+ 14 + 1 = 29 rungs
The firefighter's movements on the ladder suggest that the ladder has 41 rungs, confirmed by algebraically considering the middle rung 'm' and then solving for 'm' knowing the positions relative to the top.
To solve the question, let's follow the firefighter's movement on the ladder using variables and a step-by-step approach. If we let the middlemost rung the firefighter is initially standing on be represented by 'm,' we can track the rung positions with the following moves:
The firefighter climbs up 6 rungs: new position is m + 6.
The firefighter then climbs down 10 rungs: new position is (m + 6) - 10 = m - 4.
Finally, to reach the top of the ladder, the firefighter climbs up 18 rungs: new position is (m - 4) + 18 = m + 14.
Since the final position is the top rung of the ladder, it means the middlemost rung 'm' plus 14 rungs equals the total number of rungs on the ladder. Because 'm' is the middle rung of the ladder, there must be 'm - 1' rungs below it. Therefore, the total number of rungs on the ladder is (m - 1) + m + 14. Simplifying, this becomes 2m + 13.
Now we know that 2m equals the number of rungs minus the top 14 rung positions, and since 'm' represents the middlemost rung, '2m' represents the total number of rungs on the ladder except for the top 14. Hence, the total rungs on the ladder are 2m + 14. But since 2m + 13 equals the total, the only number that satisfies this condition is when m = 14. Therefore, the ladder must have 2m + 13 = 2(14) + 13 = 41 rungs.
A water taxi has a maximum load of 1,800 pounds. If the average weight of one person is 150 pounds,how many people can safely ride in the water taxi?
Answer:
12 people
Step-by-step explanation:
Because 1800 divided by 150 equals 12 people exactly
Hope this helps
What is the constant of proportionality x 1 and y 0.5
Answer:
k = 0.5
Step-by-step explanation:
Constant of Proportionality is k = y/x
k = 0.5/1 = 0.5
f(x) = 2x + 10 g(x) = 1(1.01)x
x y
10 1.00
12 1.01
14 1.02
16 1.03
Which statement BEST compares the growth of the two functions as x approaches [infinity]?
Answer:
D) the value of the exponential function will eventually exceed the value of the linear function.
Step-by-step explanation:
I ATTACHED AN IMAGE WITH THE CORRECT INFORMATION OF THE QUESTION.
To know which is the correct answer we can calculate some other values of f(x) and g(x) for higher values of x:
f(100)=210 g(100)=7.31
f(1000)=2010 g(1000)=20959.15
f(10000)=20010 g(10000)=1.63e^43
As we can observe, g(x) eventually will exceed to f(x). This is noticed when x = 1000, where g(1000)>f(1000).
Hence, the answer is:
D) the value of the exponential function will eventually exceed the value of the linear function.
A plane rises from take-off and flies at an angle of 10 degrees with the horizontal runway. When it has gained 900 feet, find the distance, to the nearest foot, the plane has flown. An airplane is at vertex B of a right triangle that has a horizontal side AC, a vertical side BC of length 900 feet, and a dashed hypotenuse AB of unknown length c that rises from left to right. Angle C is the right angle and angle A measures 10 degrees. 10 degrees c equals question mark 900 ft A B C
Answer: The plane has flown 5,183 feet (approximately)
Step-by-step explanation: First and foremost, the plane is at vertex B of a right angled triangle ABC, and angle A measures 10°. Also the vertical side BC is the distance covered by the plane which in this case is the hypotenuse. The line BC is facing angle A which is the reference angle, hence line BC is the opposite.
With this bit of information we can calculate the distabce flown (hypotenuse) as follows;
Sin A = opposite ÷ hypotenuse
Sin 10 = 900/c
By cross multiplication we now have;
c = 900/Sin 10
c = 900/0.17364817766693
c = 5182.89
c ≈ 5183
Therefore the plane has flown 5,183 feet (approximately)
To find the distance the plane has flown, use the cotangent of the given angle (10 degrees) and multiply with the opposite side length (900 feet). The resulting value, rounded to the nearest foot, is the distance flown.
Explanation:In this scenario, we have a right triangle where it's given that the vertical side BC = 900 feet, the angle at A is 10 degrees, and we need to find the length of the hypotenuse AB (distance the plane has flown). For a right triangle, the trigonometric property that relates the angle with the sides is tangent (tan), defined as the ratio of the opposite side to the adjacent side.
However, in this case, we need to use its reciprocal function, cotangent (cot), which gives the ratio of the adjacent side to the opposite side. As we know the opposite side (900 feet) and the angle (10 degrees), we can find the length of the hypotenuse (AB) using the cotangent of the angle, i.e., cot(10 degrees) = AB/900. So, AB = cot(10 degrees) * 900.
On calculating the above expression and rounding to the nearest foot, you get the distance the plane has flown.
Learn more about Trigonometry in Right Triangles here:https://brainly.com/question/31896723
#SPJ
What is (2x10^1) the answer in scientific notation
find the value of x in given right triangle
Step-by-step explanation:
It is a right angled triangle so with reference angle 37°
hypotenuse (b) = 10
perpendicular (p) = x
So
tan 37° = p/ b
0.75 = x / 10
x= 0.75/10
Therefore x = 0.075
Hope it will help you :)
The value of x when rounded to nearest 10th will be 6.0
Given: a right angled triangle with hypotenuse equal to 10 units and angle opposite to the perpendicular equal to 37°
To find: value of the perpendicular [tex]x[/tex]
To find the perpendicular we can use trigonometric equation:
[tex]\sin \theta = \frac{\text{perpendicular}}{\text{hypotenuse}}[/tex]
where [tex]\theta[/tex] is the angle opposite to the perpendicular
Putting the values in the equation we get:
[tex]\sin 37 = \frac{x}{10}\\[/tex]
[tex]0.6018 = \frac{x}{10}\\[/tex]
[tex]x= 0.6018 \times 10\\x = 6.018[/tex]
So, the value of the perpendicular (x) is 6.018 units but when rounded to nearest 10th we get 6.0
How do I answer this?
c = 30 inch
Step-by-step explanation:
perpendicular (p) = 18 inch
base(b) = 24 inch
hypotenuse (h) = ?
we know by using Pythagoras theorem
h² = p² + b²
h² = 18² + 24²
h² = 324 + 576
h² = 900
h= √900
therefore h = 30 inch
Hope it will help you. :)
Answer:
(30)Pythagorean theorem a^2+b^2=c^2
Step-by-step explanation:
18^2+24^2=c^2
square root 900 and the answer is 30
sorry if wrong i tried
Suppose that Lady Gaga goes to Las Vegas to play poker and at the last minute her record company says it will reimburse her for 35 percent of any gambling losses that she incurs.
a. Will Lady Gaga wager more or less as a result of the reimbursement offer? Less or more?
b. What economic concept does your answer illustrate? Adverse selection or moral hazard or irrational behavior?
Answer:
Refer below.
Step-by-step explanation:
a. Will Lady Gaga wager more or less as a result of the reimbursement offer? Less or more?
Lady Gaga wager MORE.
b. What economic concept does your answer illustrate? Adverse selection or moral hazard or irrational behavior.
The economic concept answer illustrate is MORAL HAZARD.
Due to the reimbursement clause offered to Gaga on losses made, then she will wager more. However, this could in moral hazard.
With a reimbursement clause of 35% on losses made, Lady Gaga will be buoyed by the fact that, she'll recoup 35% of her bet if she losses, then she'll most likely wager more. By promoting Lady Gaga on gambling, it could spark a moral effect, causing youths to adore and become more indulged in the act of gambling.Learn more : https://brainly.com/question/7390205
Geometry Question Find the Area of the Circle
Answer:
379.94
Step-by-step explanation:
A = πr²
A = 3.14 x 11²
A = 3.14 x 121
A = 379.94
Find the radius [ d / 2 = r ]
22 / 2 = 11cm.
Find the area [ A = πr² ]
A = π(11)²
A = π(121) or 121π
A = 379.94
Therefore, the area of the circle is 379.94cm² or 121π cm²
Best of Luck!
Ground beef is packaged in small trays, intended to hold 1 pound of meat. A random sample of 45 packages in the small tray produced weight measurements with an average of 1.04 pounds and a standard deviation of 0.19 pound.a. If you were the quality control manager and wanted to make sure that the average amount of ground beef was indeed 1 pound, what hypotheses would you test?b. Find the p-value for the test and use it to perform the test in part a.c. How would you, as the quality control manager, report the results of your study to a consumer interest group?
Answer:
There is sufficient statistical evidence to suggest that the average weight of the ground beef packaged in small trays is 1 pound
Step-by-step explanation:
Here we have to perform a t-test
Mean = Sample mean = 1.04 lb
μ = Population mean = 1 lb
s = Standard deviation of 0.19
n = Sample size = 45
Null hypothesis H₀ = 1
Alternative hypothesis Hₐ > 1
Therefore from
[tex]t=\frac{\bar{x}-\mu }{\frac{\sigma }{\sqrt{n}}}[/tex] we have
t = 1.412
Critical t at 5% confidence level = 1.68
at 5 % confidence level we obtain the probability P is;
P = 0.0825 > 0.05 Therefore we accept our null hypothesis that the average weight of ground beef per pack is 1 pound.
What is the measure of angle K?
102°
118°
134
156°
Answer:
118!
Step-by-step explanation:
On edge 2020
Graph the line with slope -2 passing through the point (-2,1)
if there are 39 people in a room and everyone has to shake hands with everyone exactly once, how many handshakes are there?
if i'm not mistaken, this means that one person has to shake 38 people's hands. so, that would be 38*39, i believe.
triangle DEF contains two congruent acute angles. The sum of the measures of the two
congruent acute angles is greater than 90 degrees. Anna concludes that the triangle must be an acute triangle. Which best describes her conclusion?
Anna is correct. The remaining angle of the triangle measures less than 90 degrees.
Acute angles:Acute angles are those angles that measure less than 90 degrees. Since Triangle DEF contains 2 congruent acute angles. So, This means each of those 2 acute angles in the triangle are less than 90 degrees.Learn more about the triangle here; https://brainly.com/question/25813512?referrer=searchResults
Answer: b. She is correct. The remaining angle of the triangle measures less than 90 degrees.
Step-by-step explanation: edge 2022
What is 3x+2y=15 y=6x
Final answer:
The solution to the system of equations is x = 1 and y = 6.
Explanation:
The given equations are:
3x + 2y = 15
y = 6x
To solve this system of equations, we can substitute the value of y from the second equation into the first equation:
3x + 2(6x) = 15
3x + 12x = 15
15x = 15
x = 1
Substituting the value of x into the second equation to find y:
y = 6(1)
y = 6
So, the solution to the system of equations is x = 1 and y = 6.
The community center provides tutoring for students p. The cost of the tutoring is $18 per session. Write an equation to model the total cost (c), after (s) sessions
A) c=18s
B) c= 18+s
C) c= s-18
D) s=18c
Pls hurry
Answer: A) c=18s
Step-by-step explanation: Each session means we are multiplying so we can eliminate B and C so next we must understand where to place our variables. If it is 18 per session then 18s would be the equation and equal the total cost (c) soo the answer is c=18s
It is rare to prove a hypothesis as incorrect through experimentation. Please select the best answer from the choices provided T F
9514 1404 393
Answer:
F
Step-by-step explanation:
A hypothesis is usually proven incorrect when it fails to explain an observation. The offered statement is False. Experimentation is the most common way a hypothesis is proven incorrect.
Answer:
f
Step-by-step explanation:
Can someone do this for me and if so marking brainliest. Urgent
Answer:
1. 1/3, 4
2. 3/5, -2
3. 4, 1
4. -3/2, 3
5. 1, 4
Step-by-step explanation:
- The slope is x and to find it do (rise over run) for example 5/3, but since it is done for you that is not needed. That was just a reference.
- The y-intercept is where the number hits the y-axis when at 0.
Which statement compares the median wind speeds for the data in the two box plots? The median wind speed for country A is greater than the median wind speed for country B. The median wind speed for country B is greater than the median wind speed for country A. The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9 miles per hour. The median wind speed for each country is about 4 miles per hour. Mark this and return
Answer:
C
Step-by-step explanation:
I took the test
A truck has a trailer that has a length of
7m, a width of 2m and a height of 4m.
What is the volume of the trailer?
Answer:
56m cubed
Step-by-step explanation:
7m×2m×4m=56m
What is the value of n in the equation below?
StartFraction a Superscript n Over a cubed EndFraction = a Superscript 9
3
6
12
27
Answer
12
Step-by-step explanation:
in this equation , since its a fraction you would divide. With the exponents it would be subtraction. therefore, making it 12 I hope this helps :)
Answer:
12
Step-by-step explanation:
got 100 on the test.
someone help please?
Answer:
A. 76
B. 150
C. 38
Step-by-step explanation:
Answer:
(a) 76 students drink coffee.
(b) 150 students drink coffee, tea, or both.
(c) 38 students do not drink both tea and coffee.
Step-by-step explanation:
This question requires an analysis of Venn diagrams.
(a) The two circles are shared, but only 76 students drink coffee.
(b) I'm pretty sure this is a trick question. It says "how many drink tea OR coffee OR both?" probably meaning that they want you to count everyone besides the 38 who do not drink either. This could be 28, but I am sure that it is 150.
(c) As seen outside of the Venn diagram, 38 do not drink either coffee or tea.
It costs 100 dollars for 20 cookies. +
What is the price of one cookie?
Answer:
$5
Step-by-step explanation:
First you divide the 2 numbers you know.
100/20= 5
And if your not sure then you can multiply it.
5x20=100
The perimeter of a rectangle is 48 feet. If the length measures 16 feet, which is the width?
A. 5ft
B. 8ft
C. 10ft
D. 16ft
Answer:
B. 8ft
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
Substituting in the given values
48 = 2(16+w)
Divide each side by 2
48/2 = 2/2(16+w)
24 = 16+w
Subtract 16 from each side
24-16 =16+w-16
8 =w
What equation represents a circle with a center at (-3, -5) and a radius of 6 units
Answer:
(x+3)^2 + (y +5)^2 = 36
Step-by-step explanation:
We can write the equation of a circle with the formula
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -3)^2 + (y - -5)^2 = 6^2
(x+3)^2 + (y +5)^2 = 6^2
(x+3)^2 + (y +5)^2 = 36
Answer:
D; (x + 3)^2 + (y + 5)^2 = 36
Step-by-step explanation:
correct on edge
A teacher works for a textbook company during the summer. She makes $35 per page to write the material and $25 per page to type it. The teacher would like to earn at least $3200, but does not want more than 120 pages of work. Let "x" represent the number of pages written and "y" represent the number of pages typed. Write a system of inequalities to represent this situation.
Answer:
$35 x + $25 y ≥ $3200 x ≤ 120
Step-by-step explanation:
Because she needs to write before type the page, so that y≤x
∴ x≤120
$35 x + $25 y ≥ $3200 x ≤ 120
Final answer:
The system of inequalities for the teacher's summer work with the textbook company is 35x + 25y \\( ext{≥}) 3200, x + y \\( ext{≤}) 120, x \\( ext{≥}) 0, and y \\( ext{≥}) 0, where x is pages written and y is pages typed.
Explanation:
The system of inequalities to represent the situation where a teacher works for a textbook company during the summer, earns $35 per page for writing the material and $25 per page for typing, wants to earn at least $3200, and does not want more than 120 pages of work would be:
35x + 25y \\( ext{≥}) 3200
x + y \\( ext{≤}) 120
x \\( ext{≥}) 0
y \\( ext{≥}) 0
Here, x represents the number of pages written and y represents the number of pages typed. The first inequality ensures the teacher earns at least $3200, the second inequality ensures the total number of pages does not exceed 120, and the last two inequalities represent that the teacher cannot write or type a negative number of pages.
from the top of an 800 foot tall car talk tower, tom sees a plane; the angle of elevation is 67 degrees. at the same instant tay who is on the ground one mile from the building notes that his angle of elevation to the plane is 81 degrees and that his angle of elevation to the top of the tower is 8.6. assuming that tom and ray and the airplane are in a plane perpendicular to the ground, how high is the airplane
The airplane is approximately 33,336.6 feet above the ground. This calculation is based on Ray's perspective from 1 mile away with an 81-degree angle of elevation to the plane. The calculated height difference between the plane and the top of the tower is approximately 1,598.5 feet.
To solve this problem, we can use trigonometry to set up a system of equations with the given angles and the known height of the tower. We'll use the following steps:
1. Use Ray's angle of elevation to the plane (81 degrees) and his distance from the tower (1 mile, which is 5280 feet) to find the height of the plane from the ground.
2. Use Ray's angle of elevation to the top of the tower (8.6 degrees) with the same distance to find the height difference between the tower and the plane.
3. Add the height of the tower to the height difference found in step 2 to get the total height of the plane from the ground.
Let's denote the height of the plane from the ground as ( h ) and the horizontal distance from Ray to the point right below the plane as ( d ). We know that [tex]\( \tan(81^\circ) = \frac{h}{5280} \)[/tex] and [tex]\( \tan(8.6^\circ) = \frac{800}{5280} \)[/tex].
Let's calculate ( h ) using these equations.
The airplane is approximately 33,336.6 feet above the ground. This calculation is based on Ray's perspective from 1 mile away with an 81-degree angle of elevation to the plane. The calculated height difference between the plane and the top of the tower is approximately 1,598.5 feet.