Answer:
9 mph
Step-by-step explanation:
Speed of current = 6 mph
Distance to travel one way = 22.5 miles
Let speed of the ferry be [tex]x[/tex] mph
Total time taken for round trip is 9 hours
One way the ferry will be going with the current and in the other way the ferry will be going against the current so
[tex]\dfrac{22.5}{x+6}+\dfrac{22.5}{x-6}=9\\\Rightarrow \dfrac{x-6+x+6}{x^2-36}=\dfrac{9}{22.5}\\\Rightarrow \dfrac{2x}{x^2-36}=0.4\\\Rightarrow \dfrac{2x}{x^2-36}-0.4=0\\\Rightarrow 2x-0.4x^2+14.4=0\\\Rightarrow 0.4x^2-2x-14.4=0\\\Rightarrow 4x^2-20x-144=0\\\Rightarrow x=\dfrac{-\left(-20\right)\pm \sqrt{\left(-20\right)^2-4\times 4\left(-144\right)}}{2\times 4}\\\Rightarrow x=9,-4[/tex]
So, the speed of the boat in still water needs to be 9 mph both ways.
how do i solve this??
You are given either the x value or the y value.
Replace the x or y in the equation and solve for the missing values.
-4x + 5y = 3
First you are given x = 0:
So you have -4(0) + 5y = 3
Simplify:
0 + 5y = 3
Divide both sides by 5:
y = 3/5
Next you have x = 1:
-4(1) + 5y = 3
Simplify:
-4 + 5y = 3
Add 4 to both sides:
5y = 7
Divide both sides by 5:
y = 7/5
Third you are given y = 3
-4x + 5(3) = 3
Simplify:
-4x +15 = 3
Subtract 15 from both sides:
-4x = -12
Divide both sides by -4:
x = 3
What is the solution set of the equation x2 + 3x - 4 = 6?
A.
{-5, 2}
B.
{-2, -1}
C.
{2, 7}
D.
(5, 10)
Matthew is going to shop rite with $15.He brought a package of croissants for $1.99.The cost of a box of Digiorno pizza is $4.00. What is the maximum number of digiorno pizzas can he buy?
Answer:
he would only be able to buy 2 boxes of pizza
Step-by-step explanation:
Subtract $1.99 from the $15 he has.
$15 - $1.99 = $13.01
Divide $13.01 by $4.00
$13.01/$4.00 = 3.25
There is a decimal in the final answer which means its not a whole pizza. So, the max he would be able to buy is 2 bokes of pizza
PLEASE HELP ME WITH THIS QUESTION!!
Answer: Never produce a rational numbers
Step-by-step explanation: IT doesnt matter if integers are added, subtracted, multiplied, or divided, intergers will always be integers.
Error Analysis On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 6 +n + 5b. Jake says that 5 is a coefficient and 6 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made? (Used, two separate answers as needed)
Answer:
Jake doesn't include 1 as constant.
Step-by-step explanation:
The given expression is 6+n+5b.
Jake says that 5 is a coefficient and 6 is a constant.
In this case, the coefficient is 5.
Constants are 6 and 1.
And variables are n and b.
Hence, Jake doesn't include 1 as constant.
What is the factored form?
Answer:
(b − 10)(b^2 + 10b + 100)
Step-by-step explanation:
Please help;due today
Answer:
148 degrees
Step-by-step explanation:
360 - 74 - 138 = 148 degrees
Raul is cutting boards for a project. He has a board that measures 8 feet and is cutting it into 3/4 foot pieces. How many whole pieces of 3/4 foot will he be able to cut?
Answer:
10
Step-by-step explanation:
1 board = 3/4 foot = 0.75 of a foot
x boards = 8 feet
1/x = 0.75 / 8 feet Cross multiply
0.75 x = 8 Divide both sides by 0.75
x = 8/0.75
x = 10 2/3 boards.
We are told to throw the fractional board away so Raul will get 10 pieces from an 8 foot piece of lumber.
WILL GIVE BRAINLIST
Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio. Enter your answer to 5 decimal places if necessary. Use a calculator.
−30, 6, −1.2, ...; 5th term
The 5th term of the sequence is
Answer:
-0.048
Step-by-step explanation:
-30 * -1/5 = 6
6 * -1/5 = -1.2
(Remember -30 is first term so we subtract 1 from 5 in the exponent)
-30 * (-1/5)^4 = -0.048
Does anyone know this? If you do can you please help me?
Answer:
-2x > 30x < -15Step-by-step explanation:
A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...
-2x
You want that product greater than 30. The symbol for "greater than" is >, so you have ...
-2x > 30 . . . . the desired inequality
__
The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."
x < 30/(-2)
x < -15 . . . . . . the desired solution
_____
Additional comment
It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.
Consider ...
1 < 2
-1 > -2
help will be very appreciated :)
Answer:
1,3,4, and 7 will all have 42 degrees and 2,5,6 will have angles of 138 degrees
Step-by-step explanation:
since one side of a circle is always 180 degrees, you would need to subtract 180 from 138, which would give you 42 degrees, and because every angle corolates with another angle in this situation it would mean any that are in the same place either in the first or second set of angles would be the same as the other.
What is |-26|?
(a) -26,
(b) 26,
(c) 0,
(d) 1
Answer:
(b)26
Step-by-step explanation:
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
Match each type of investment with its disadvantage.
T-bills
Property
A-rated bonds
Stocks
lesser return
arrowRight
higher risk
arrowRight
costly and time-consuming
arrowRight
no steady cash flow
arrowRight
Answer:
Lesser returns > T bills
Higher risks > A-rated bonds
Costly and time consuming > Property
No steady cash flow > stocks
Step-by-step explanation:
I just took the test
Find the sum of the arithmetic sequence
-10, -7, -4, -1, 2, 5, 8
Solve the system by substitution.
y = -6x
- 2x - y = 16
Answer:
X=4 and Y= -24
Step-by-step explanation:
Step 1: −6x for y in−2x−y=16:
−2x−y=16
−2x−−6x=16
4x=16
4x/4=16/4
x=4
----------------------------------------------------------------------
y=−6x
y=(−6)(4)
y=−24
y=-24
there are 2 numbers that are twice as far from 23 as they are from 38. Those two numbers are? QUICKK PLS
Answer:
53&8
Step-by-step explanation:
38-23=15
23+15+15=53
23-15=8
If 6c-d=17, then d=
Answer:d=7
Step-by-step explanation:
Easy math
does anyone know the answers
I NEED HELP!!!!! ASAP!!!!!
Answer: 127 11/12
Step-by-step explanation:
1. 1/2 + 3/4 = 2/3
Change 1/2 by by multiplying by 2 to get a common denominator of fourths.
2/4 + 3/4 = 2/3?
5/4 = 2/3?
no
2. 5/8 - 1/4
Change 1/4 by by multiplying by 2 to get a common denominator of eighths.
5/8 - 2/8 = 3/8?
3/8 = 3/8 ?
yes
3/8 x 10 = 30/8
3. 4/5 +7/10 = 1 1/2
Change 4/5 by multiplying by 2 to get a common denominator tenths.
8/10 + 7/10 = 1 1/2?
15 /10 = 1 1/2?
yes
1 1/2 x 10 = 25
4. 2 1/3 - 1 5/6 = 1/6
Change 1/3 by multiplying by 2 to get a common denominator sixths.
2 2/6 - 1 5/6 = 1/6?
3/6 = 1/6
no
100 -2/3 - 1/6 + 30/8 + 25
multiply the thirds by 8. Sixths by 4. Eighths by 3 to get a common denomonator of 24ths.
100 - 16/24 - 4/24 + 90/ 24 + 25 = 125 70/24
create mixed number
127 22/24
reduce
127 11/12
A certain psychological test measures empathy and emotional intelligence. The score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29. The score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.
Suppose we randomly select one senior student and one first-year student.
Calculate the mean of the difference D = S – F.
μD = 17.7482
μD = 19
μD = 44.6878
μD = 227
Answer: The answer is 19
Step-by-step explanation: EDGE2020
The mean of the difference D = S - F is 19, which is the correct option (B).
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
To calculate the mean of the difference D = S - F, we need to find the expected value of the difference between two random variables, one representing the scores of senior students and the other representing the scores of first-year students.
Here,
μS = 123
μF = 104
The mean of the difference is the difference of the means, so we have:
μD = μS - μF
μD = 123 - 104
μD = 19
Therefore, the mean of the difference D = S - F is 19.
Learn more about the standard deviation here:
brainly.com/question/16555520
#SPJ3
The price per night for a hotel room is different at three different hotels. Hotel Nights Price (in dollars) A AA 3 33 192 192192 B BB 5 55 300 300300 C CC 7 77 455 455455
Answer:
Hotel B is the least expensive
Step-by-step explanation:
Given
See attachment for clear details
Required
The least expensive
To do this, we simply divide the total cost by the number of nights to get the unit price
i.e.
[tex]Unit = \frac{Price}{Nights}[/tex]
Hotel A
[tex]Nights = 3\\Price= 192[/tex]
[tex]Unit = \frac{192}{3}[/tex]
[tex]Unit = \$64[/tex] per night
Hotel B
[tex]Nights = 5\\Price= 300[/tex]
[tex]Unit = \frac{300}{5}[/tex]
[tex]Unit = \$60[/tex] per night
Hotel C
[tex]Nights = 7\\Price= 455[/tex]
[tex]Unit = \frac{455}{7}[/tex]
[tex]Unit = \$65[/tex] per night
From the calculations above;
Hotel B is the least expensive because 60 is less than 64 and 65
Which of the following fractions represents the product? HELP ASAP will mark brainly
Answer:
maybe A
Step-by-step explanation:
total number of boxes = 12
total number of green boxes = 5
= 5/ 12
Answer:
i did this the answer is C
Step-by-step explanation:
17.65 - 3.619 in nearest tenth
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At a local aquarium there is a large cylinder shaped fish tank. The fish tank has a diameter of 8 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder of cylinder in cubic feet? 8.6.A *
V = π(8)²h
V = π(4)²h
V = π(4h)²
V = π(8h)²
Answer:
(A) V = π(8)²h
Find the distance between the points (5,6) and (-10,-6)
Write your answer as a whole number or a fully simplified radical expression. Do not round.
Answer:
ugghhh I think it's a ughhh carrot
Which quadrilaterals are considered parallelogram
Answer: Rectangle, Rhombus, Square
Step-by-step explanation:
An angle measures 2° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
44 degrees and 46 degrees.
Step-by-step explanation:
Answer:
91 and 89 is the answer.
A motorist drives 146km at a certain speed. She then increase this speed of by 19km/hr and take the same time to travel the next 16km. Find her speed for both part of the journey. Pleaseeeeeeeeeeee helpppppppppppp
Step-by-step explanation:
A motorist drives 146km at a certain average speed she then increases the speed by 9km/h and takes the same time to travel the next 164km.
find her speeds for both parts of the journey.
:
let s = his original speed
then
(s+9) = the increased speed
:
Write a time equation; time = dist/speed
146%2Fs = 164%2F%28%28s%2B9%29%29
cross multiply
164s = 146(s+9)
164s = 146s + 1314
164s - 146s = 1314
18s = 1314
s = 1314/18
s = 73 km/h is his original speed
:
Helpppppppp pleaseeeeeeee and can you give an explenations also?
Answer:
B
Step-by-step explanation:
A(-3 , 3) -> A'(-9 , 9)
B(3 , 3) -> B'(9 , 9)
C(3 , 0) -> C'(9 , 0)
A'B'C' is a dilation of ABC about the origin with factor of 3
ΔA'B'C' ~ ΔABC: all the corresponding angles are the same measurement
PLS HELP!! Find the product or type
“impossible"
[2 8 1 , 0 5 -2]
[5 2 1]
Answer:
Step-by-step explanation:
For the multiplication of two matrices, number of columns in 1st matrix should be equal to the number of rows of the 2nd matrix.
In the given question,
1st matrix → [tex]\begin{bmatrix}2 & 8 & 1\\ 0 & 5 & -2\end{bmatrix}[/tex]
Number of columns in this matrix = 3
2nd matrix → [5 2 1]
Number of rows in this matrix = 1
Therefore, number of columns in 1st matrix are not equal to the number of rows in the 2nd matrix.
Therefore, multiplication of matrices given in the picture is "Impossible".
Answer:
impossible
Step-by-step explanation:
accellus