The speed of a stream is 3 km per hour. A boat travels upstream 12 km and then returns to its original position downstream along the same route. If the speed of the boat in still water is 9 km per hour, what is the average speed of the boat for the entire round trip?
Answer:
7 km
Step-by-step explanation:
let the speed of boat in still water is x km/hr.
given speed of stream is 3 km/hr.
then speed of boat upstream = ( x - 3) km/hr
speed of boat downstream = (x + 3 ) km/hr
Distance travelled upstream = 4 km
time taken to travel upstream = distance travelled upstream / speed of boat
upstream
= 4 / (x - 3 ) .............(1)
Distance travelled downstream = 10 km
time taken to travel downstream = distance travelled downstream / speed of boat
downstream
= 10 / (x + 3) ............(2)
given that boat takes same time to travel upstream and downstream.i.e; (1) & (2) are equal
i.e. 4/(x-3) = 10/ (x + 3 )
4 * (x +3 ) = 10 * (x- 3)
4x + 12 = 10x - 30
12 + 30 = 10x -4x
42 = 6x
x = 42 / 6 = 7.
i.e speed of boat in still water is 7 km/hr.
what is π plus e its so easy
A teacher has 600 counters. He keeps 96 counters at his desk and gives the rest to 3 groups of students. The first group of students gets twice as many counters as the second group of students. The third group of students gets four times as many counters as the second group. How many counters did the second group get?
Answer:
o
Step-by-step explanation:
o
what 30+30+30+4+60+9+80
Answer:
243
Step-by-step explanation:
what is the equation of a line that is parallel to the x-axis and is 3 units below the x-axis
A.x=3
B.x=-3
C.y=3
D.y=-3
A rate in which the second quantity in the comparison is one unit is known as a
______________________.
Answer:
Unit rate
Step-by-step explanation:
Answer:
Unit rate
Step-by-step explanation:
Unit rate -- A rate in which the second quantity in the comparison is one unit.
this is duee in 1 hourrr helllp!!!!
Answer:
4/5
Step-by-step explanation:
Rise = 4
Run = 5
~theLocoCoco
Answer:
4/5
Step-by-step explanation:
Bill spent less than $36 on Kitten and puppy magazines kitten magazines cost $4 each and puppy magazines cost $3 each A) write an inequality that describes the situation B) list two possible combinations of puppy and kitten magazines C) if bill bout 3 kitten magazines, how many puppy magazines can he buy?
Answer:
A) 4k + 3p < 36
B) 3 kitten magazines and 4 puppy magazines
4 kitten magazines and 6 puppy magazines
C) If bill bought 3 kitten magazines, then he buys less than 8 puppy magazines.
Step-by-step explanation:
Let:
The number of kitten magazines = k
The number of puppy magazines = p
A) Write an inequality that describes the situation
We are told:
Bill spent less than $36 on Kitten and puppy magazines kitten magazines cost $4 each and puppy magazines cost $3 each
Hence:
$4 × k + $3 × p < 36
4k + 3p < 36
B) List two possible combinations of puppy and kitten magazines
4k + 3p < 36
Bill can buy:
3 kitten magazines and 4 puppy magazines
4 kitten magazines and 6 puppy magazines
C) If bill bought 3 kitten magazines, how many puppy magazines can he buy?
Using the inequality above:
4k + 3p < 36
4k + 3p < 36
4 × 3 + 3p < 36
12 + 3p < 36
3p < 36 - 12
3p < 24
p < 24/3
p < 8
If bill bought 3 kitten magazines, then he buys less than 8 puppy magazines.
dudee plz help will be given the brainlist if answered correctly
Answer:
hey im not actually here to help you, i just need points. thanks for the points
Step-by-step explanation:
Which inequality correctly compares Three-fourths, One-seventh, and Five-sixths? One-seventh < Three-fourths < Five-sixths One-seventh < Five-sixths < Three-fourths Three-fourths < Five-sixths < One-seventh Three-fourths < One-seventh < Five-sixths
Answer:
The inequality which correctly compares Three-fourths, One-seventh, and Five-sixths is : One-seventh < Three-fourths < Five-sixths.
The first option is correct.
Step-by-step explanation:
To determine which inequality correctly compares Three-fourths, One-seventh, and Five-sixths, we will arrange them in ascending order.
To do this, first, we will determine the LCM of the fractions denominators..
Three-fourths, One-seventh, and Five-sixths
[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex]
The denominators are 4, 7 and 6.
LCM of 4,7 and 6 is 84
Then, we will write the fractions in a form whereby they all have the same denominators.
[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex] can be written as
[tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex]
The resulting order of the numerators gives the order of the fractions.
Now, we will arrange [tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex] in ascending order. This becomes
[tex]\frac{12}{84}, \frac{63}{84},and \frac{70}{84}[/tex].
∴ The ascending order of the fractions is [tex]\frac{1}{7}, \frac{3}{4},and \frac{5}{6}[/tex].
That is, One-seventh, Three-fourths, and Five-sixths.
Hence, we can write that
One-seventh < Three-fourths < Five-sixths.
This is the inequality which correctly compares Three-fourths, One-seventh, and Five-sixths
Answer:
d
Step-by-step explanation:
what is the product of (3x+5) and (x+4)?
Answer:
3x^2+17x+20
Step-by-step explanation:
Answer: x = y
y = -4
y = 3x + 2
x = 8
Simplify: (-3a2b5)2
Find (x - 4)2`Find the product: (3x + 5)(4x - 1)
Use FOIL:
F: 3x*4x=12x^2
O: 3x*-1 = -3x
I: 5*4x = 20x
L: 5*-1 = -5
Combine these products to get:
12x^2+17x-5
------------------------
Which of the following is the equation of a vertical line?
x = y
y = -4
y = 3x + 2
x = 8
Answer x=8 ; The graph is the set of points where x=8.
-----------------------
Simplify: (-3a2b5)2
=(-3a^2b^5)(-3a2b^5)
=9a^4b^10
------------
Find (x - 4)^2
=(x-4)(x-4)
Use FOIL to get:
x^2-4x-4x+16
=x^2-8x+16
Step-by-step explanation:All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer. (Explanations for those problems not requiring work must demonstrate your understanding of the concept.)
HURRY HELP WILL GIVE MORE POINTS after answered
Which value is the solution to the equation - 8 = 6-7x?
A. -7
B. - 2
c. 2
D. 5
Answer:
-8=6-7x (subtract 6 from both sides)
-14=-7x (divide each side by -7)
x=2
the answer is C
Answer:
c: 2
Step-by-step explanation:
-8 = 6 -7x, isolate the -7 by moving the 6 to the left side of the equation so it becomes -8-6 = -7x --> -14 = -7x and then divide by both sides by -7 and then you get x =2, you can plug in the number back into the equation to make sure
4cos^2(x)-7cos(x)+3
Please help and explain how you did it :)
I assume you're asked to solve
4 cos²(x) - 7 cos(x) + 3 = 0
Factor the left side:
(4 cos(x) - 3) (cos(x) - 1) = 0
Then either
4 cos(x) - 3 = 0 or cos(x) - 1 = 0
cos(x) = 3/4 or cos(x) = 1
From the first case, we get
x = cos⁻¹(3/4) + 2nπ or x = -cos⁻¹(3/4) + 2nπ
and from the second,
x = nπ
where n is any integer.
please please help i’ll give brainliest tysm:))
Answer:
The answer is 66 feet.
Hope it helps!!
1/2x-3=9 please bhelp me
Answer:
x=24
Step-by-step explanation:
Step 1: Add 3 to both sides: 1/2x-3+3=9+3
Simplify that: 1/2x=12
Step 2: Multiply both sides by 2: 1/2x*2=2*12
Simplify: x=24
Hope this helped! :)
if pml is congruent to trq find qr?
Answer:
16
Step-by-step explanation:
What is 1/3 + 4/9 and how to solve
Answer:
7/9
Step-by-step explanation:
To add fractions, you have to have like denominators. First find the LCM (Least Common Multiple) of both denominators. That is 9. The second fraction already has a denominator of 9, so leave it as is. The first fraction doesn't so what will happen is you will be converting it into a fraction with a denominator of 9. Multiply the denominator by 3 to get 9. Then multiply the top by 3 because whatever you do to the bottom you do the top. You will then get 3/9. 3/9+4/9 is equal to 7/9 because you just add the numerators, but keep the denominators the same.
The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario. What number will complete the point-slope equation that models this scenario?
y−50,000=[_______](x−10)
Answer:
Step-by-step explanation:
sup
At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase you save \$0.20$0.20dollar sign, 0, point, 20 on gas.
Is your total savings on gas proportional to the number of beverages you purchase?
Yes Or No
Answer:
Yes, your total savings on gas is proportional to the number of beverages you purchase.
Step-by-step explanation:
What is a proportional relationship?
A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.
In this case the variables are:
number of beverage purchased
savings
Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:
savings / beverages purchase = $ 0.20 / beverage
That means that you can determine the savings by multipliying the number of beverages times $ 0.20.
For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:
Number of beverages savings ratio
1 $ 0.20 $0.20 / 1 beverage = 0.20
2 $ 0.40 $0.40 / 2 beverages = 0.20
3 $ 0.60 $0.60 / 3 beverages = 0.20
4 $ 0.80 $0.80 / 4 beverages = 0.20
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
All we need to do is solve for y.
[tex]y - 3 = 4(x + 2)\\\\y - 3 = 4x + 8\\\\y = 4x + 11[/tex]
The answer is A. y = 4x + 11.
Write the equation in the graph below.
Answer:
Y=1/2x+2
Step-by-step explanation:
The slope is always rise/run and the Y intercept is 2.
What is Зх — 4y + 3x + 2y
Answer:
6x - 2y
Step-by-step explanation:
3x - 4y + 3x + 2y
combine like terms
6x -2y
hope this helps!!!
Kaylee earned $446.40 at her job when she worked for 18 hours. What was her hourly wage, in dollars per hour?
On the double number line below, fill in the given values, then use multiplication or division to find the missing value.
Answer:
Kaylee earned $24.8 per minute.
Step-by-step explanation:
Basically, just divide the total wage, by hours earned.
in the blanks I assume you just put 24.8 dolars per 1 hour and then the final 446.40 for 18 hours at the end of the number line :)
If possible may I have brainlist? Thanks g
What are the zeroes of the function?
y = (x – 3)(x + 2)(x – 2)
A. –3, 2, –2
B. –3, 2, 2
C. 3, –2, 2
D. 3, 2, 2
Answer:
Option C
Step-by-step explanation:
x - 3 = 0
Add 3 to both sides;
x = 3
x + 2 = 0
Subtract 2 from both sides;
x = -2
x - 2 = 0
Add 2 to both sides;
x = 2
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
marrisa dance studio charge a monthly fee
Answer:
lool what's the question
Step-by-step explanation:
how is life treating you?
Which statement is true about this quadratic equation? y=-2x^2+9x-12 A. There are two real solutions. B. There is one complex solution. C. There are two complex solutions. D. There is one real solution.
A quadratic equation is an equation that can be placed in the form a·x² + b·x + c = 0
The option that gives the true statement about the quadratic equation is option C.
C. There are two complex solutions
Reason:
The given quadratic equation can be presented as follows;
y = -2·x² + 9·x - 12
The factored form of the quadratic equation is presented as follows;
The radical of the given quadratic equation is therefore;
[tex]\sqrt{9^2 - 4 \times (-2) \times (-12)} = \sqrt{81 - 96} = \sqrt{-15}[/tex], which gives the following solutions;
[tex]x = \dfrac{(-9\pm\sqrt{-15} )}{2 \times (-2)} = \dfrac{-9 \pm \sqrt{-15} }{-4}[/tex]
[tex]x = \dfrac{-9 +\sqrt{-15} }{-4} \ or \ x = \dfrac{-9 -\sqrt{-15} }{-4}[/tex]
Therefore there are two complex solutions;
Learn more about quadratic equations here:
https://brainly.com/question/12402430
Answer:
the answer is c
Step-by-step explanation:
There are two complex solutions.
On a sunny day, if a 36-inch yardstick casts a 21-inch shadow,
how tall is a building whose shadow is 168 ft?
It would be 288 ft.
Write a conjecture that describes the pattern below.
3, 9, 27, 81...
Answer:
the pattern is going by 3s and u would multiply 3 by each number