Answer:9/2 km per hour
Step-by-step explanation:
equation,
6/9-x + 6/x=8/3
Upstream is flowing of the boat in the opposite direction of the stream. The speed of the river current is 4.5 km per hour.
Given-Johnny and his father go fishing at 5:00 AM.
Total traveled by the Johnny and his father in upstream is 6 km.
The speed of the boat is 9 km/h.
What is upstream?
Upstream is flowing of the boat in the opposite direction of the stream.
Let x be the speed of the river current.
Time taken by the Johnny and his father to travel 6 km in upstream is ,
[tex]=\dfrac{6}{9-x}[/tex]
The time taken by the bottle to floats in the current river is,
[tex]=\dfrac{6}{x}[/tex]
As Johnny and his father start from 5:00 AM and the bottle reached to the point where Johnny and his father began their trip at 7:40 AM. Thus the total time is,
[tex]=7:40-5:00[/tex]
[tex]=2:40[/tex]
In hours,
[tex]=2\dfrac{40}{60}[/tex]
[tex]=\dfrac{8}{3}[/tex]
As the total time is equal to the sum of the Time taken by the Johnny and his father to travel 6 km in upstream and The time taken by the bottle to floats in the current river. Thus,
[tex]\dfrac{6}{9-x}+\dfrac{6}{x}=\dfrac{8}{3}[/tex]
[tex]\dfrac{6x+54-6x}{9x-x^2}= \dfrac{8}{3}[/tex]
[tex]\dfrac{27}{9x-x^2}= \dfrac{4}{3}[/tex]
[tex]x^2-9x+\dfrac{81}{4}=0[/tex]
On solving the above quadratic equation we get the positive value of the x is 4.5.
Thus the speed of the river current is 4.5 km per hour.
Learn more about the upstream here;
https://brainly.com/question/7567233
PLEASEEEE HURRY
For the linear function represented in the table below, determine the value of y if x = 6.
Answer:
22
Step-by-step explanation:
The y values increase by 2 every time so 18+2=22
Write and solve a proportion to answer the question. 36 is 0.9% of what number w? 36/w = .9/100 what is w? w = ?
Answer:
4000
Step-by-step explanation:
To solve :
36 = 0.9% of w ; solve for w
36 = 0.9/100 * w
36 = 0.009w
Divide both sides by 0.009
36/0.009 = 0.009w / 0.009
4000 = w
Hence, the number, w equals 4000
Mr Jones bought a snowboard. The 6% sales tax on the snowboard was $32.50. What was the total cost including the sales tax? (rounded to nearest cent)
Answer: $574
Step-by-step explanation:
First we need to calculate the price of the snowboard before the addition of the tax. This will be represented by x. Therefore,
6% of x = $32.50
0.06 × x = $32.50
0.06x = $32.50
x = $32.50 / 0.06
x = $541.67
Therefore, the total cost including the sales tax will be:
= $541.67 + $32.50
= $574.17
= $574
Reflect line AB over the y axis HELP PLS
Answer:
Here is the answer
And I have a problem
Step-by-step explanation:
please help i don’t understand this
Answer:
slope of line one: 2/4 or 1/2
line two: 6/1
line 3: 6/3 or 2
line 4: -4/1
to find the slope of a line, you have to use rise/run the number of space going along the y-axis is the rise, and the space of the points on the x-axis is the run.
hope this helps!
Karl is comparing the interest rates for accounts at two different banks. He will deposit $600 into an account and will not make any additional deposits or withdrawals. Bank Q offers 1% interest compounded annually. Bank R offers 1.5% simple interest.
Answer: bank R for 1 year
Step-by-step explanation:
Given
Principal deposit is [tex]P=\$600[/tex]
Bank Q offers 1% interest compounded annually
Bank R offers 1.5% simple interest annually
For Bank Q, Compound interest is given by
[tex]\Rightarrow P[1\frac{R}{100}]^t-P[/tex]
for 1 year it is
[tex]\Rightarrow 600[1+\frac{1}{100}]-600=\$6[/tex]
For bank R, simple interest is
[tex]S.I.=\dfrac{P\times R\times T}{100}[/tex]
for 1 year it is
[tex]\Rightarrow S.I.=\dfrac{600\times 1.5\times 1}{100}=\$9[/tex]
Clearly, bank R offers more interest for 1 year
Indicate in standard form the equation of the line passing through the given point and having the given slope.
R = (4, 0), m = 5
Can someone help with this?
Makayla is flying a kite. The angle of elevation from Makayla to the kite is 58º. If 55 ft of kite string has been used, how high above the ground is the kite, to the nearest foot?
Answer:
I dont know good luck :)
Step-by-step explanation:
peace
Pythagorean Theory
I need help...
Answer: 12
Step-by-step explanation:
From the set {5, 9, 12}, use substitution to determine which value of x makes the equation true. 12(x - 4) = 96
Answer:
12
Step-by-step explanation:
12(5-4)=96
60-48=12 means it's not five
12(9-4)=96
108-48=60 means it's not 9
12(12-4)=60
144-48=96 so answer is 12
Hiiiooos! Can someone please help me with this!!!❤️❤️❤️❤️:)
Answer:
a
Step-by-step explanation:
hopes this helps
Answer: My best guess is 10 (sqrt of 2)
Step-by-step explanation:
Its all in the picture-
Solve for x.
16 = -2x - 1
Solve for x.
16 = -2x - 1
pls
Answer:
1. 7
Step-by-step explanation:
Answer:
x = 7 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
please help ASAP !!
Choose the system of equations that matches the following graph:
Picture included!
Answer:
Choice 2
Step-by-step explanation:
If im wrong im so sorry
If im right can i hav brainliest plz?
Answer:
b
Step-by-step explanation:
So you start at x-axis work your way down to the y-axis and you get your answer.
Which describes the location of 0.65 on the number line?
A) between 1/2 and 2/3 b) between 2/3 and 7/10 C) between 7/10 and 4/5 D) to the right of 4/5
What to say back if someone told you that your cute
Answer:
your cute to
Step-by-step explanation:
Answer:
lol id.k
Step-by-step explanation:
if they cute too say " ty u too;)"
jp I'm bad at giving advice...
Solve 7x − 2(x + 1) = 6x + 14. (5 points)
−12
12
−16
16
Answer:
C
X=-16
Step-by-step explanation:
if you are smart I will give brainliest
2 + 2enty = ???
Answer:
2enty 2
Step-by-step explanation:
how do u make 24 out of the numbers(7)(7)(7)(5)
using only [×][-][÷][+]
frist to get this right gets brainlyest
Answer: You add all the numbers.
Step-by-step explanation:
7 + 7 + 5 + 5 = 24.
:)
A triangle's side lengths are 15 cm and 10 cm. Write an inequality to determinte the possible measure for the missing side length.
Answer:
the missing side lenght = x
0 < x < 15+10
0 < x < 25 cm
we can ise the distance formula or pythagorean theorem to find the length of a segment? true or false
Answer:
I think its true
Step-by-step explanation:
question is in picture. Plzzz help me. Due in 2hrs
Answer:
I think it's line "A"
Step-by-step explanation:
Please help me with this !
Answer:
a. 4 (or maybe like 3.5)
b. 6
Step-by-step explanation:
a. Going from x = 0 to x = 8, it is obvious that y goes down 4 or 4.5 units during this stretch. This gives an approximate slope of -3/8. With this in mind, it can be easily calculated that going the remaining distance from x = 8 to x = 10, the value of y will be approximately 4 or so.
b. A dot literally is right next to (6, 6).
A stick is 6 m long. A rope is 2 times as long as the stick.
(NO SCAMS OR UNKNOWN LINKS! If u do try to, I will immediately report you, without hesitation..)
Answer:
Step-by-step explanation:
wouldn't it be 12 meters? is this isn't what you need ill figure it out and edit this
HELP ME PLESE IM TIMED NO SNEAKY LINKS ANWSERS ONLY PLZZZ HELP ME
Answer:
8p=t
Step-by-step explanation: Snap add?
Answer:
8p = t
Step-by-step explanation:
Length of one string = p
Length of all the strings (t) = p × 8
= 8p
Thus, 8p = 7
What is the box-and-whiskers plot used to show?
a. a histogram
c. median
b. variability
d. observations
Answer:
b and c
Step-by-step explanation:
box-and-whiskers plot shows the shape of the distribution, its central value, and its variability.
Start at the origin. Move 3 units right and 1 unit up. What is the ordered pair at this point ? for brainlest!!!
Answer:
(3,1) should be the answer
Step-by-step explanation:
Hope this helps!
The ordered pair at this point is (3,1)
How to draw a shifted figure if the shifts are provided?Suppose the graph is drawn on the coordinate plane.
Let the shifting be (x,y) → (x+a, y+b)
Then, add 'a' to all x coordinates of the graph's points. Add 'b' to all y coordinates of the graph's points.
The resultant set of new points will be plotted.
Given;
From origin; move to right 3units
move upward 1unit
Moving to right 3units;
(0,0)= (3,0)
Move upward 1unit;
(3,0)= (3,1)
Therefore, the point on graph after shifts will be (3,1)
Learn more about graphs here:
https://brainly.com/question/26254258
#SPJ2
Of the 16 people attending a seminar, 2 have blond hair.
What is the probability that a randomly selected person will have blond hair?
Answer:
1/8
Step-by-step explanation:
Can a triangle have side lengths 4, 4, 7?
1.no
2. Yes
3. not enough information
Write the equation of the line in fully simplified slope-intercept form.
Answer:
[tex]y = -\frac{2}{5} x-6[/tex]
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
[tex]m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\[/tex]
So, the slope of the line is [tex]-\frac{2}{5}[/tex].
2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] into the formula.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{2}{5}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:
[tex]y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6[/tex]