The four of them can get to the island if the two women begins the journey first. Detail below:
How can the four of them get to the island?From the question given, we were told that:
The boat has a maximum capacity of one man or two women.Someone must always be in the boat when it’s moving.With the above information in mind, we can determine how the four of them can get to the island by following the steps listed below:
The two women will take the boat to the island.One of the women will return with the boat to meet with the other two men leaving the other woman on the island.One of them men will then take the boat to the island to meet the other women on the island.The woman on the island will return with the boat to meet the other man and woman.The two women will take the boat to meet the other man on the island.One of the women will return with the boat to meet with the other man.The last man will take the boat to meat the other man and woman on the island.The woman on the island will return with the boat to meet the last woman.Finally, the two women will take the boat to meet the two men on the islandLearn more about riddles:
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Triangle JKL has coordinates 42,-5), K-1,-3), and L-4, 5). Determine the
coordinates of the vertices of the image after each transformation
10. translation along the vector (-3,1)
J (2,-5) ---------->! (, )
K (-1, -3) --------> K', )
L (-4, 5) --------->"(, )
The vertices of the image after transformation is K(5,-2), L(-1,3) and M(4,-5)
What is a triangle called?A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same.
What are the 3 sides of a triangle called?A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.
According to the given question,
with respect to the mirror
the vertices of the image of the triangle is
J (2,-5) ---------->! (5,2)
K (-1, -3) --------> K'(-1,3 )
L (-4, 5) --------->"(4,-5 )
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If you add 21 to my number, multiply the result by 3, you will get 84 more than 2/3 of my number what is my number?
Step-by-step explanation:
x = my number
3(x + 21)
multiply sum of 21 and my number by 3
=
(2/3)x + 84
84 more than 2/3 of my number
3(x + 21) = (2/3)x + 84
9(x + 21) = 2x + 3×84 = 2x + 252
9x + 189 = 2x + 252
7x + 189 = 252
7x = 63
x = 9
my number is 9.
Linda bought a washer and dryer from Mill page Laundry Supplies for y dollars. She signed an installment agreement requiring a 15% down payment and monthly payments of dollars for one year.
a) Her down payment algebraically is 0.15y (b). number of monthly payments must Linda make12 months (c) The total amount of the monthly payments algebraically is 12x (d) The first term a
and the common ratio d a1 = 0.15y, d = x (e) The total amount Linda pays for the washer and dryer on the installment plan algebraically is 12x + 0.15y (e) the finance charge algebraically (12x + 0.15y) - y = 12x - 0.85y
How to solve the problems?The given parameters that will help us get the solutions are
If y = cost of washer and dryer
x = cost for one month.
Down payment = 0.15y
Numbers of months = 12months
Amount of monthly payment = 12x
First term and common ratio = a1 = 0.15y and d = x
Total amount for washer and dryer 12x + 0.15y
Finance charge
(12x + 0.15y) - y
12x - 0.85y
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Complete question:
2. Linda bought a washer and dryer from Millpage Laundry Supplies for y dollars. She signed an
installment agreement requiring a 15% down payment and monthly payments of x dollars for one
year.
a. Express her down payment algebraically.
b. How many monthly payments must Linda make?
c. Express the total amount of the monthly payments algebraically.
d. If Linda models her payment plan as an arithmetic sequence, give the first term a
and the common ratio d
e. Express the total amount Linda pays for the washer and dryer on the installment plan
algebraically.
f. Express the finance charge algebraically.
At a certain college, 64% of the entering freshmen graduate. If we randomly selected 10 entering freshman, find the probability that: 14. Exactly 5 of the students will graduate 15. At least 8 of the students will graduate.
14) Probability that exactly 5 of the students will graduate is 0.1636.
15) Probability that atleast 8 of the students will graduate is 0.2405.
We have , In a college,
The freshmen graduate enters = 64%
Probability of sucess , p = 64% = 0.64
Probability of failure , q = 1 - 0.64 = 0.36
Randomly selected entering = 10 , i.e, n = 10.
This follows a Binomial probability distribution with the parameters, n = 10 and p = 0.64.
Using Binomial probability formula,
P(X = x) = ⁿCₖ pᵏ (1 - p)ⁿ⁻ᵏ
(14) Probability that exactly 5 of the students will graduate = P(x = 5),
P( x = 5) = ¹⁰C ₅ (0.64⁵) (0.36⁵)
= 0.1636
15) Probability that at least 8 of the students will graduate, P(x ≥8) = P(X= 8) + P(X= 9) + P(X= 10)
= ¹⁰C₈ 0.64⁸ 0.36² + ¹⁰C₉ 0.64⁹ 0.36¹ + ¹⁰C₁₀ 0.64¹⁰ 0.36⁰ = 0.2405
Hence, the required probabilities are 0.1636 and 0.2405.
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Police estimate that 20% of drivers do not wear their seatbelts. The police set up a safety roadblock and stopping cars to check for seatbelt use. If the police team stops 30 cars during the first hour, what is the standard deviation?
If Police estimate that 20% of drivers do not wear their seatbelts. The police set up a safety roadblock and stopping cars to check for seatbelt use. If the police team stops 30 cars during the first hour, the standard deviation is 2.191.
How to find the standard deviation?Using this formula to find the Standard deviation
Standard deviation = √ Sample size × Estimated drivers × (1 - Estimated drivers)
Let plug in the formula
Standard deviation = √ 30 × 0.20 × (1- 0.20)
Standard deviation = √ 30 × 0.20 × 0.80
Standard deviation = √ 4.8
Standard deviation = 2.191
Therefore we can conclude that the standard deviation is 2.191.
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what is the difference from C to D
The difference between points C and D is √289 units.
What is Distance formula?
The distance formula is a mathematical formula used to determine the distance between two points in a plane. The formula is:
d = √((x2 - x1)² + (y2 - y1)²)
"C" and "D" are points in a two-dimensional coordinate system. C is represented by the coordinates (-1, 11) and D is represented by the coordinates (7, -4).
The difference between these two points is the distance between them, which can be calculated using the distance formula:
√((x2 - x1)² + (y2 - y1)²)
Where x1, y1 are the coordinates of point C and x2, y2 are the coordinates of point D.
Substituting the values, we get:
√((7 - (-1))² + (-4 - 11)²) = √((8)² + (-15)²) = √(64 + 225) = √289
Hence, the difference between point C and D is √289 units.
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enter the correct 4 digit code
The code is 4321.
A = 4
B = 3
C = 2
D = 1
is 6.26 number types
Situation: Rocco jogs and then walks at the park. Today, he has already jogged 4 miles.
He then starts counting the miles he walks at a constant rate of 3 miles every
2 hours. What is the total distance Rocco travels at the park?
1) Equation:
Where x is:
Where y is:
2) Fill in all empty cells
in the table of values.
3) Proportional or
nonproportional:
Part 1: Where x is: time in hours. Where y is: distance in miles.
Part 2: The table is filled for the values of time and distance.
Part 3: y/x is fixed equation is proportional.
Explain the term total distance?Total distance refers to the actual travel distance between the origin and destination locations of the material.
The formula for the distance is:
Distance = speed * time
Part 1:
The equation formed for the stated condition is:
y = 3x.
Where x is: time in hours.
Where y is: distance in miles.
Part 2: The table is filled for the values of time and distance.
Part 3:
For the equation.
y = 3x.
x = 1, y = 3 : y/x = 3
x = 2, y = 6 ; y/x = 3
As, y/x is fixed equation is proportional.
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The complete question with table is attached.
What is an equation of the line that passes through the point (6,-4)(6,−4) and is perpendicular to the line 2x-y=52x−y=5?
The line that connects the coordinates (6, 4) and is perpendicular to the line 2xy=5 has the equation =y=1/2x-1.
What are straight-line equations?The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y-axis).
The variables x and y are related to coordinates on the line in the linear equation y = mx + c.
The formula y = mx + c yields a result for y when we enter a value for x.
As y depends on the value of x, it follows that x is an independent variable and y is a dependent variable.
According to our question-
a line equation that is perpendicular to the line 2xy=5 and passes through the point (6, 4)
The slope of the given equation 2x-y=5 is first determined.
The line's equation is y=mx+b. where'm' represents the slope
Hence, The line that connects the coordinates (6, 4) and is perpendicular to the line 2xy=5 has the equation =y=1/2x-1.
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The diameter of a circle is 18 in. Find its area to the nearest whole number.
Answer:
The answer is 20
Answer: 254 in^2
Step-by-step explanation:
a salad dressing recipe uses 10 parts oil,4 parts vinegar,and 2 parts honey.Which of the following sets of ingredients are in a proportional relationship with the recipe?select all that apply.
According to the information, the sets of ingredients that have a proportional relationship with the original recipe are: option A, C and D.
How to check the proportional relationship of the ingredients with the recipe?To check the proportional relationship of the ingredients with the recipe we must carry out the following procedure.
Option A.
First, we need to establish how many times 6 is in 12 because this recipe includes 6 parts oil and the original recipe includes 12 parts oil.
12 / 6 = 2Once we identify this number, we must divide the amounts of the original recipe by 2 to identify if the other values are correct.
3 / 2 = 1.52 / 2 = 1In accordance with the above, option 1 would be proportional to the main recipe. For the other options we must perform the same procedure:
In the case of case C. we identify that 24 is twice 12, so we would have to multiply each ingredient by 2 to check the proportional relationship
3*2=62*2=4In the last case (option D), we identify that the proportion is 3/4 with respect to the original recipe, so we must carry out the same procedure keeping this proportion in mind.
12 / 4 = 33*3=93 / 4 = 0.750.75 * 3 = 2.252 / 4 = 0.50.5 * 3 = 1.5Note: This question is incomplete because there is some information missing. Here is the complete information:
Attached image
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A smoking cessation program was organized for 623 employees of a company, and 216 successfully stopping smoking. What was
the approximate ratio of successes to failures?
A) 1 to 2
B) 2 to 3
C) 3 to 1
D) 4 to 2
Answer:
A) 1 to 2
Step-by-step explanation:
Total number of people: 623
Successes: 216
Failures: 623 - 216 = 407
Ratio of successes to failure = 216/407
Since 216 is approximately half of 407, the ratio is approximately 1/2.
Answer: A) 1 to 2
I need help with this question
Answer:
I think A is the answer.
U're welcome amigo.
Determine the total flops as a function of the number of equations n for the decomposition, forward-substitution, and back-substitution phases of the LU decomposition version of Gauss elimination.
The total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination is given by (n^3 + 3n^2)/3.
The LU decomposition version of Gauss elimination involves 3 phases which are :
decomposition forward-substitution back-substitution.The flops in decomposition phase is (n^3)/3, forward-substitution phase is n^2 and back-substitution phase is 2n^2. By adding all the flops for these 3 disinct phases we get (n^3 + 3n^2)/3 as total flops as a function of the number of equations n for the LU decomposition version of Gauss elimination.
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In the figure below, =m∠364°. Find m∠1, m∠2, and m∠4.
Answer:
m∠1 = 64
m∠2 = 117
m∠3 = 117
Step-by-step explanation:
m∠1 = 64
m∠2 = x+64 = 180
= x = 117
m∠2 = 117
m∠3 = 117
A computer can do a computation in 6.8 x 10-9 seconds? How many computations can the computer do in 5 minutes
Answer:
≈[tex]4.4117647059\times10^{10}[/tex] computations in five minutes.
Step-by-step explanation:
[tex]\frac{5*60}{6.8\cdot10^{-9}}[/tex] = [tex]4.4117647059\times10^{10}[/tex].
Proof in the image.
Please mark brainliest so I can get to the expert rank (only 10 to go!)
Hi if anyone can answer that would be great thanks!
The value of GL is 161.We can find by using supplementary angles.
What is supplementary angle with example?Supplementary angles are those angles that sum up to 180 degrees. For example angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.There are a total of two supplementary quantities and their units.
How do you find supplementary angles?The sum of two angles is equal to 180° then they are supplementary angles. Each of the angles is said to be a supplement of another angle. Hence we can determine the supplement of an angle by subtracting it from 180°.
Now
According to supplementary angles
GL + LK =180
GL =180- LK
GL = 180 -19
GL = 161
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Write two equations showing the Transitive Property of Equality. Justify your reasoning.
Yoshio has 3 pieces of fabric. Each piece of fabric is the same length. The total length of the pieces is 2 and 1/4 yards. What is the length of each piece of fabric?
In linear equation, Length of each piece of fabric is 3/2 yards.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Number of pieces of fabric = 3
Total length of a fabric = 2 1/4 yards
= 9/4 yards
Therefore,
Length of each piece of fabric = 9/4 ÷ 3
= 3/4 yards
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Can someone help me with this problem, please
THANKS
Answer:
30%
Step-by-step explanation:
3 pizzas = 30 slices. count yellow 1+6+2 = 9
9/30 = 30%
Select each expression that has a difference of 4 3/12 
Answer:
Step-by-step explanation:
9 7/12 - 5 4/12 = 4 3/12
11
Stephen is n years old.
Rachel is 10 years older than Stephen
(a) Write an expression for Rachel's age.
Tim is 13 years younger than Stephen.
(b) Write an expression for Tim's age.
Juil
neb
13
12
inotdan ni
(c) Write an expression for the total age of Stephen, Rachel and Tim.
nt
2
A student graphed f(x) = x and g(x) = f(x) - 5 on
the same coordinate grid. Which statement
describes how the graphs of f and g are related?
A The graph of f is shifted 5 units up to create the
graph of g.
B The graph of f is steeper than the graph of g.
C The graph of f is shifted 5 units down to create
the graph of g.
D The graph of f is less steep than the graph of g.
The statement (c) describes that the graph of f is shifted 5 units down to create the graph of g. The solution has been obtained using the concept of vertical translation.
What is translation?
Translation is the act of moving a shape or a figure from one position to another. It is classified into two types:
Horizontal Translation: This describes the movement of a function graph to left or right.Vertical Translation: This describes the movement of a function graph upward or downward.Now, for a function f(x) we define a vertical translation of N units as:
g(x) = f(x) + N
If N is positive, the translation is upwards.
if N is negative, the translation is downwards.
We are given g(x) = f(x) - 5
This shows that N is negative and therefore, there is translation of 5 units downwards.
Hence, the graph of f is shifted 5 units down to create
the graph of g.
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A triangular prism has a base that is an isosceles right triangle with sides ,9 ,9 and 12.7. The height of the prism is . What is the surface area of this prism
The surface area of the triangular prism is 55.8 units²
What is Triangular PrismA triangular prism is a three-dimensional shape with two triangular faces and three rectangular faces. It is also known as a tetrahedron, which is a type of polyhedron with four faces. The triangular prism has a total of six faces and nine edges.
The formula of surface area of triangular prism is given as;
S.A = 2A + PH
A = Area of triangular baseP = perimeter of triangleH = height of triangleThe base area of the prism is given as;
A = 1/2 (b * h)
A = 1/2 * (9 * 14)
A = 63 units²
The perimeter of the triangle is the sum of all the sides.
This is calculated as P = a + b + c
P = perimeter = 9 + 9 + 12.7 = 30.7 units
Surface Area = 2(63) + 30.7 * 14
Surface Area = 55.8 units²
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Complete Question:
A triangular prism has a base that is an isosceles right triangle with sides 9 ft, 9 ft, and 12.7 ft. The height of the prism is 14 ft. What is the surface area of this prism.
I need help with this
Answer:
d
Step-by-step explanation:
NEED SOMEOEN THAT KNOWS PRE CALC The endpoints of a diameter of a circle are (7,−4) and (−3,2).
What is the equation of the circle in standard form?
Enter your answer by filling in the boxes. Enter any fractions in simplified form.
(x-2)² + ( y + 1)² = 34 is the equation of the circle in standard form.
What is the short definition of a circle?
To put it simply, a circle is a spherical shape without any edges or line segments. In terms of geometry, it has the shape of a closed curve.
The circle's points are set apart from the center by a predetermined amount.
The endpoints of the diameter (7,−4) and (−3,2)
the center of the circle is the midpoint of the diameter.
So, the coordinates of the center
(h,k) = ( 7 + (-3)/2 , -4 +2/2)
= ( 4/2 , -1 )
= ( 2 , -1 )
the radius of the circle is just half of the length of the diameter.
So, r = 1/2√(-3 -7 )² + ( 2 - (-4))²
= 1/2√(10)² + ( 2 +4 )²
= 1/2√100 + 36
= 1/2√136
= √136/2
= 2√34/2
= √34
substitute the values of h, k, and r into the standard equation of the circle
( x-h)² + ( y-k)² = r²
( x - 2)² + ( y -(-1))² = (√34)²
(x-2)² + ( y + 1)² = 34
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Answer the picture below
Jim spent a total of $125.15 for the 130 miles he traveled in one day at the $14.95 base fee.
what is equation ?A mathematical equation is a formula that connects two statements using the equal sign (=) to signify equivalence. A mathematical statement demonstrating the equality of two mathematical expressions is the definition of an equation in algebra. For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14. Mathematically, the connection between two phrases on either side of a letter is stated. The symbol doubles as the sole variable most of the time. for illustration, 2x - 4 = 2.
given
per mile the cost is $0.85
Base fee is 14.95
0.85x+14.95= 125.15
0.85x=125.15 - 14.95
0.85x = 110 . 92
x= 110 . 92 / 0.85
x= 130. 49
Jim spent a total of $125.15 for the 130 miles he traveled in one day at the $14.95 base fee.
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2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work.
In the above case which involves a Pythagorean Triangle, using the trigonometric function TOA to solve we get: 61.93°
TOA is the acronnum for:
Tangent (θ) = Opposite /Adjacent
Tangent (θ) = 8/15
θ = Tan⁻¹ 0.5333333333
Thus
θ = 61.93°
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StarWatch Camping Site
The holiday is just 9 weeks away and they
each plan to save £13 per week from now
Charge per person: £6 per night
until their holiday.
Will they save enough money to cover all
Tent pitch:
≤ 10 mª at £15 per night
their camping site charges?
(ground surface)
If the answer is 'yes' say how much extra
>
10 mª at £18 per night
money they will save.
You must show all your working.
Special offer:
For
every 5 nights you
stay, only pay for 4.
Lila and Wassim are planning a stay
at the StarWatch camping site.
They will:
share a tent between them,
both stay for a total of 10 nights,
use a tent with a rectangular base
measuring 2.3 by 4.2 metres.
Answer:
The total cost of their stay at the StarWatch camping site will be £108. This includes the special offer of 5 nights for the price of 4.
Lila and Wassim have saved £130 by the time of their holiday. This means they have saved £22 extra.