Answer:
2 km/h
Step-by-step explanation:
Let x represent the speed of the river current, t₁ be the time spent rowing against the current and t₂ be the time spent rowing with the current.
Since the speed of the still water = 20 km/h.
The speed of rowing against the current = (20 - x)
The speed of rowing with the current = (20 + x)
We know that velocity = distance / time. Hence time = distance / velocity
t₁ = 36 / (20 - x)
t₂ = 22 / (20 + x)
but t₁ + t₂ = 3 hours
Therefore:
3 = 36 / (20 - x) + 22 / (20 + x)
multiply through by 400 - x²
3(400 - x²) = 36(20 + x) + 22(20 - x)
1200 - 3x² = 720 + 36x + 440 - 22x
3x² + 14x -40 = 0
This gives x = -6.7 or x = 2
x cannot be negative therefore x = 2 km/h
The speed of the river current is 2 km/h
Answer:
2km/h is correct
Step-by-step explanation:
The other guy is absolutely correct
3(-4+4)+5n=2n what are the steps for finding n
Answer:
1. Move the variables to one side: 3(-4+4) = -3n
2. Distribute. You will end up with 0 = -3n
3. Divide both sides by -3. n = 0
Step-by-step explanation:
Answer:
n=0
Step-by-step explanation:
3(-4+4)+5n=2n
first distribute
-12+12+5n=2n
combine like terms
5n=2n
subtract 2n on both sides
3n=0
divide by 3 on both sides
n=0/3
which is also equal to
n=0
The two objects are the same height, and the cylinder is just wide enough for the the box to fit inside with all 4 vertical edges of the box touching the inside of the cylinder. if the box of pasta fits 8 cups of rice, estimate how many cups of rice will fit inside the cylinder. Expalin or show your reasoing
Answer:
The answer is below
Step-by-step explanation:
The volume of a box with a length of l, width of w and a height of h is given by the formula:
volume of the box = length * width * height = lwh
The volume of a cylinder with a height of h, and radius r is given by the formula:
volume of the cylinder = π * radius² * height = πr²h
Since the box and the cylinder have the same height and the cylinder is wide enough for the box to be placed inside, this means that the box has a volume greater than that of the cylinder. Hence:
If the box can take 8 cups, the cylinder would be able to take 10 cups.
Consider the line x-2y=-1 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?
Answer:
slope of line that is parallel is 1/2
slope of line that is perpendicular is -2
Step-by-step explanation:
parallel lines have the same slope
perpendicular lines have slopes that are opposite and reciprocal
x - 2y = -1
-2y = -x -1
y = 1/2x + 1/2
the coefficient of the 'x' term represents the slope
Please help! What mistake did I make?
Answer:
Step-by-step explanation:
to make a negative, in addition, you can’t add a negative with a positive or the number would go from -3 + 2 = -1.
Solve please I don’t know how to do this.
Answer:
its 63 lol
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
x/3-10=11
x/3=21
crisscross then
x=21×3
c=63
Write an explicit formula for the nth term of this sequence:
6, 11, 16, 21, . . .
1. an=5n+11
2. an=5n+1
3. an=21-5n
4. an=6n+1
Answer:
2)an = 5n + 1
Step-by-step explanation:
This is an arithmetic series.
6 , 11 , 16, 21 ,.....
First term = [tex]a_{1}[/tex] = 6
Common difference = d = second term - first term
= 11 - 6 = 5
nth term = [tex]a_{1}+(n-1)*d[/tex]
= 6 + (n - 1) * 5
= 6 + n * 5 - 1*5
= 6 +5n - 5
= 6 - 5 + 5n
= 1 + 5n
Ms. Meyer washed
2/7
of her laundry. Her son washed
1/4
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Solve this on paper. Then check your work on Zearn.
write your answer as a fraction ill mark you !
Answer:
15/28 loads of laundry needs to be washed.
Step-by-step explanation:
2/7 + 1/4
=
2 × 4 + 1 × 7
7 × 4 + 4 × 7
=
8/28 + 7/28
=
8 + 7/ 28
=
15/28
-14 = 4x - 2
what is the x ?
Answer:
X = -3
Step-by-step explanation:
Which expression is the result of factoring the expression below by taking out its greatest common factor?
8x2 – 24 = ?
Answer:
Step-by-step explanation:
You need to give us the choices. However, I will try and give you the answer.
The highest common factor is 8
8(x^2 - 3) This is the answer I think the question expects.
8(x - √3 )(x + √3) this is also possible
determine the slope and y-intercept from following the equation: y= 3/2x + 3
Answer:
Slope is 3/2 and y-intercept is +3
Step-by-step explanation:
slope = m
y intercept = b
Slope is 3/2 and y-intercept is +3
Solve the equations 25 - 3x = 40. Write the problem on the sketch pad then solve the problem algebraically. I need the answer and how you work it out :)
Answer:
Step-by-step explanation:
25-3x=40
25-25-3x=40-25
-3x=15
-3x/-3=15/-3
x=-5
A baseball team had 70 players show up for tryouts last year and this year had 85 players show up for tryouts. Find the percent increase in players from last year to this year.
Answer:percent increase in players from last year to this year= 7.14%
Step-by-step explanation:
percent increase = (Increase in number of players /Initial value of players Last year) x 100
value of players for tryouts last year = 70
value of players for tryouts this year = 85
Increase in tryouts = 85-70 =5
percent increase = 5/70 x 100
= 7.14%
What’s the answer for this one??
Answer:
It is the second one.
Step-by-step explanation:
a and e are equal because they are mirrored. d and b are equal because they are on the same line and at the same point where the parallel lines go through. b and f are also mirrored. That leaves c and e which don't match.
Five less than twice the value of a number is equal to three times the quantity of
four more than one-half the number. What is the
number?
a. Let x be the number. Write and solve an equation to find x. Show your work.
b. Does the solution of your equation solve the original problem? Explain.
Answer:
a) x = 34
b) yes, it checks out
Step-by-step explanation:
2x - 5 = 3(4 + 1/2x)
multiply both sides by 2 to eliminate fraction
2[2x - 5 = 3(4 + 1/2x)] = 4x - 10 = 24 + 3x
x - 10 = 24
x = 34
check
2(34) - 5 = 3(4 + 34/2)
68 - 5 = 3(4 + 17)
63 = 3(21)
63 = 63
solve for x...................................................................................
Answer:
x = 36°
Step-by-step explanation:
x + 20° + 4x = 200° { exterior angle of a triangle is equal to the sum of two opposite interior angles }
5x = 200° - 20°
5x = 180°
x = 180° / 5
x = 36°
Hope it will help :)
40 points and brainliest! Please explain your answer!!!
Answer:
give the other person brainliest
Step-by-step explanation:
the answer is B. 62°
the correct answer to the question is the answer is B. 62°
$325 is borrowed from a bank that charges 4% interest compounded annually. How much is owed after 1 year, 3
years, 7 years, and 20 years?
Answer:
338
365.58
427.68
712.12
Step-by-step explanation:
for annually compounding interest
PV(1+i)^n
for one year
325(1.04)
338
for 3 years
325(1.04)^3
365.58
For 7 years
325(1.04)^7
427.68
for 20 years
325(1.04)^20
712.12
What is the value of -2(x + 5)?
Answer:
-2x-10
Step-by-step explanation:
hope it hhhhheeeeeellllpppp you
What is 5 / 1? Explain.
(Just trying to give away easy points haha)
Answer:
5/1 = 5
Step-by-step explanation:
because 5/1 equals 5.
Find the upper bound
Triangle ABC is rotated counterclockwise using the origin as the center of rotation. The preimage and image are shown in the graph below. On a coordinate plane, triangle A B C has points (negative 4, negative 2), (negative 2, 1), (negative 2, negative 1). Triangle A prime B prime C prime has points (1.2, 4.2), (2, 1), (0, 2.9). Which rotation could have taken place?
Answer: it would be C. a 225° rotation
Step-by-step explanation: I got it correct
Answer:
C
Step-by-step explanation:
If cos θ > 0, which quadrant(s) could the terminal side of θ lie?
Answer:
I and IV
Step-by-step explanation:
cosine is positive/greater than 0 in quadrants I and IV. Its just a rule of the unit circle.
Can remember by All Star Trig Class
meaning all the trig funtions are positive in quadrant I
sin is positive in II
tan is positive in III
and cos is positive in IV
30+5z+5z=180
what is the value of z
Answer:
15
.......................
Hits 2) How many solutions does the inequality have?
A) 0
B) 1
C) 8
D) infinitely many
9514 1404 393
Answer:
D) infinitely many
Step-by-step explanation:
There are infinitely many points on any portion of the number line. The shading on the graph indicates all numbers less than or equal to 8 are solutions. There are infinitely many such numbers.
A 34 foot flag pole is casting a shadow that is 17 feet long. How far is the top of the flag pole from the the end of the shadow?
Answer:
17*square root of 5
Step-by-step explanation:
Form a triangle like the one shown below and use the pythagorean theorem:
[tex]17^2+34^2=c^2\\289+1156=c^2\\1445 = c^2\\c = \sqrt{1445} \\c = 17\sqrt{5}[/tex]
Find the area of the trapezoid 12.5cm 6cm 17.5cm
Answer:
The answer for this is a. 90
need help with all 3 pleaseeee
Please help! Will mark brainliest if correct! Use the model attached to answer
Answer:
4 cubes will be shown in the right view of the model and the 1st option is the top view for the model.
-30÷5=
bunun cevabı 6 mı??
Answer:
-6
Step-by-step explanation:
-30÷5=-6
this is the ans
Which type of transformation is described by (x, y) (x + 2, Y-3)?
Answer:
I’m good at math but not that good
Step-by-step explanation: