please help me?!!
a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?
Answers
Answer:
The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
Step-by-step explanation:
Let u be the rate of the motorboat in still water (in kilometers per hour),
let v be the rate of the current.
Then the rate of the motorboat going downstream is u+v km/h,
while its rate going upstream is u-v km/h.
From the other side, the rate of the motorboat going downstream is 150/3=50km/h = 30 km/h.
Thus you have these two equations
u + v = 50 (1) (for the rate downstream), and
u - v = 30 (2) (for the rate upstream).
To solve the system, add equations (1) and (2). You will get
2u = 50 + 30 = 80; hence,
u = 80/2 = 40 km/h.
Then from the equation (1), v = 50 - u = 50 - 40 = 10 km/h.
ANSWER. The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
Related Questions
Which decimal is less than 0.47?
0.5, 0.64, 0.38, 0.9
Answers
Answer:
0.38
Step-by-step explanation:
I hope this helps you with your test :)
Answer:
0.38
Step-by-step explanation:
.38 is before .47
Which expression results in a rational number
Given
A=√12
B= 4√3
c=√49
D=√100
(1) A+B
(2) B+C
(3) D+A
(4) C+D
Answers
Answer:
C and D give rational numbers, as the square root of 49 is ±7 and the square root of 100 is ±10.
please help me with this
Answers
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
HOPE THIS HELPSSSS
Evaluate HELP PLEASE!!
a)94^-1/2
Answers
Answer:
Exact Form:
1
188
Decimal Form:
0.00531914
…
Step-by-step explanation:
:)
1 over 188 BTW
Answer:
94i
Step-by-step explanation:
94^-1/2 is the square root of -94 which is an imaginary number
Which expression represents the volume of the pyramid? One-thirdn(n − 1) units3 One-thirdn(n − 1)2 units3 One-thirdn2(n − 1) units3 One-thirdn3(n − 1) units3
Answers
Answer:
The answer is "[tex]\bold{\frac{1}{3} \ n^2 (n - 1) \ units^3}[/tex]"
Step-by-step explanation:
Please find the complete question in the attachment file.
The volume of a pyramid: [tex]V=\frac{1}{3} (\text{base area}) \times (\text{height})[/tex]
In the question if:
[tex]Area= n^2 \ units^2 \\\\height= (n-1) \ units\\[/tex]
apply the value in the volume formula:
[tex]V=\frac{1}{3}\ n^2 \ units \times (n-1) \ units^2\\\\[/tex]
[tex]= \frac{1}{3}\ n^2 \times (n-1) \ units^3\\\\ = \frac{1}{3}\ n^2 (n-1) \ units^3\\\\[/tex]
Answer:
option C). 1/3^2(n − 1) units3
Step-by-step explanation:
just took test
What is f(1/2)? (1 over 2)
Answers
System OT
W + b =13
6.5w + 2b = 57.5
Answers
Answer: w = 7, x = 6
Step-by-step explanation: Solve by substitution
W + b = 13
rewrite as b = 13 - w and substitute that value for b in the second equation
6.5w + 2b = 57.5 Then solve for w
6.5w + 2(13-w) = 57.5 . Distribute
6.5w + 26 - 2w = 57.5 . Subtract 26 from both sides. Combine like terms and simplify
6.5w - 2w = 57.5 - 26
4.5w = 31.5 Divide both sides by 4.65
w = 7 . Substitute 7 for w in the first equation and solve for b
7 + b = 13 . Subtract 7 from both sides
b = 6
1x + 7 = 9x + 2 what is x
Answers
Answer:
5/8 or 0.625
Step-by-step explanation:
first you'll subtract 1x from the left and subtract 2 from the right
1x+7=9x+2
-1x . -1x
7=8x+2
-2 -2
5=8x
divide this by 8
5/8 or 0.625
On a coordinate plane, the field is 1 unit up and 1 and one-half units to the left. The playground is 2 units to the left and 0.5 units down. The parking lot is 1 and one-half units to the right and 2 units up. The swimming pool is 1 and one-half units to the right and 1 unit up. The clubhouse is 2 and one-half units to the right and 1 unit down.
The is located at (11
2
, 2)
Answers
Answer:
The
✔ parking lot
is located at (11
2
, 2)
The field is located at
✔ (–1½ , 1)
.
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
Someone pls pls answer this ill mark u brainliest
Answers
Answer:
[tex]m\angle CBD=35^{\circ}[/tex]
Step-by-step explanation:
Since there are [tex]180^{\circ}[/tex] on each side of a line and [tex]\angle ABC[/tex] is marked as a right angle, [tex]m\angle CBE=180-90=90^{\circ}[/tex].
[tex]m\angle CBE=m\angle DBE+m\angle CBD[/tex], and [tex]m\angle DBE[/tex] is given as [tex]55^{\circ}[/tex].
Therefore, we can plug in our values and solve:
[tex]90=55+m\angle CBD,\\m\angle CBD=\fbox{35^{\circ}$}[/tex].
WILL MARK BRAINLIEST PLEASE!
Answers
Answer:
Option b
multiply 6 and 4
Determine if the triangles are congruent. If so, state what postulate proves that they are congruent.
Question 24 options:
The triangles cannot be proven congruent.
SAS
SSS
AAS
ASA
HL
Answers
Answer:
I believe it's SAS, but I am not 100% sure. I say this because you see the angle then in between is a side then another angle
You must bye one hundred eggs with 100 cents. There are three types of eggs and you will need to buy all three types of eggs.Goose eggs must be bought in multiples of twenty. 1 chicken egg costs 5 cents 1 duck egg costs 1 cent 20 goose eggs costs 1 cent How many chicken, duck and goose eggs do you need to buy?
Answers
Answer:
1 duck egg
19 chicken eggs
80 goose eggs
Step-by-step explanation:
Given that:
Goose eggs must be bought in multiples of 20
20 goose eggs = 1 cent
1 chicken egg = 5 cents
1 duck egg = 1 cent
Total amount to spend = 100 cents
Total number of eggs to purchase = 100
In other to ensure that 100 cents is spent and 100 eggs is purchased :
Using logical analysis :
1 cent is spent on duck egg, so 1 duck egg is purchased
Goose eggs (sold in multiples of 20) for 1 cent each ; 4 cents is spent on (20 * 4) = 80 goose eggs
100 - (4 + 1) = 100 - 5 = 95 cents is spent on chicken eggs ; 95 / cost per chicken egg = 95 / 5 = 19 chicken eggs
Hence,
1 duck egg = 1 cent
(20 *4) goose eggs = 80 eggs ; 4 * 1 = 4 cents
19 chicken eggs = 19 * 5cent = 95 cents
(1 + 80 + 19)eggs = (1 + 4 + 95)cents
100eggs = 100centa
____ is a line that passes through exactly one point on a circle
Answers
Answer:
Radius????????????????
(2, 5) and (-4, 5)
If these points are graphed on a coordinate plane, what is the distance between them, in units?
Answers
Answer:6 units
Step-by-step explanation:
m + 7 ≥ 20, if m = 11
Answers
Answer:
False;18 ≥ 20
Step-by-step explanation:
Add 11 and 7
The left side 18 is less than the right side 20 , which means that the given statement is false.
Solve for x. Look at the image attached thanks.
Answers
Answer:
x=2.2
Step-by-step explanation:
You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.
So we can use the following ratios to solve for ED=x:
For the expression, select all equivalent expressions from the list.
54y - 24
A. 6(9y - 4)
B. 30y
C. 27y - 12
D.6 x 9y - 6 x 4
Answers
Answer:
the correct answer is A , D
What is the slope of a line parallel to the line whose equation is x+2y=2
Answers
Step-by-step explanation:
Parallel lines have the same slope.
[tex]x + 2y = 2 \\ 2y = x - 2 \\ y = 0.5x - 1[/tex]
[tex]y = mx + b \\ m \: is \: the \: slope \: so \: te \: slope \: is \: \frac{1}{2} [/tex]
Num. 3 What is the name of the ray shown?
Answers
Answer:
I believe the answer is C
Step-by-step explanation:
Because lines with arrows at the end means the line is continuing. Let me know if this is right . I hope I helped! :)
Answer:
the answer to this question is (C)
Step-by-step explanation:
Over 12 hours the water in Julie's pool drained a total of 534.72 liters. It drained the same number of liters each hour. What was the change in the number of liters of water in Julie's pool each hour and what is the unit rate
Answers
Given:
Over 12 hours the water in Julie's pool drained a total of 534.72 liters.
It drained the same number of liters each hour.
To find:
The change in the number of liters of water in Julie's pool each hour and what is the unit rate.
Solution:
We have,
Water drained in 12 hours = 534.72 liters
Water drained in 1 hour = [tex]\dfrac{534.72}{12}[/tex] liters
= [tex]44.56[/tex] liters
44.56 liters water drained in 1 hour.
So, the change in the number of liters of water in Julie's pool each hour is 44.56 liters.
The water is decreasing with respect to time, so the rate of change must be negative.
Rate of change = -44.56 liter per hour
Therefore, the rate of change is -44.56 liter per hour.
36 ft
27 ft
What is the length of the hypotenuse?
C
feet
Answers
1296 + 729 = C^2
2025 = C^2
C = 45
45 feet is the length of the hypotenuse
Have a great day!!
A a book is originally priced at $65 the online retailer gives a discount and the book is now priced at $52 into the percentage discount for the cost of the book.
Answers
Answer:
20%
Step-by-step explanation:
Original price = $65
Current price = $52
Discount = $65 - $52
Discount = $13
The percentage discount is calculated as:
Discount/Original price × 100
= $13/$65 × 100
= 20%
The percentage discount for the cost of the book is 20%
write a similarly statement comparing the two triangles
Answers
Answer:
C. ΔBDC+~+ΔEDA
Step-by-step explanation:
Two triangles are said to be similar if their sides and angles are relation in a definite proportion. So that, comparing the triangles (ΔBDC and ΔEDA) in the given diagram;
<B ~ <E
<C ~ <A
D is a common angle to both triangles (right angle).
Also,
BC ~ EA
DC ~ DA
BD ~ ED
Thus, the statement that compares the two triangles is:
ΔBDC+~+ΔEDA (similarity property)
The numbers 1-6 are written on slips of paper and placed in a bag. Megan draws two numbers in a row withou replacement. What is the probability of Megan selecting an even number followed by a 3?
Answers
Answer:
2
Step-by-step explanation:
13. Given a circle with diameter BC and
inscribed angle BAC, make a conjecture
about the measure of this inscribed angle.
B
Answers
Step-by-step explanation:
if BC is the diamater and angle BAC is inscribed, that means that BAC=90degrees, because the chord of the angle(BC) is equal to half a circle or 180 degrees and each inscribed angle is 1/2 of its respective chord. so angle B's value would be equal to 180-BAC-ACB=90-ACB(or angle C)
easy question:
avery has 2 bananas and joshua has 5 apples, what is the ratio of bananas to apples?
Answers
Answer:
Answer is 2/5 , 2:5 , 2 to 5
Step-by-step explanation:
when it's asking for a ratio ur basically dividing
bananas/apples= 2/5
Answer is 2/5 , 2:5 , 2 to 5
Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answers
Answer:
whichever one corresponds with the answers you have will be right.
What’s -9/6 divided by -1/8
Answers
Answer:
-9/6 divided by -1/8 equals 12
Step-by-step explanation:
. A negative divided by a negative is a positive so... 9/6 divided by 1/8
. To divide by a fraction, multiply by the reciprocal of that fraction so... 9/6 times 8
. Reduce the fraction with 3 so... 3/2 times 8
. Reduce the numbers with the greatest common factor 2 so... 3 times 4
. Multiply the numbers so... 3 times 4 equals 12
a choir director made a histogram showing the ages of the members of the choir. which statement about the data in the histogram must be sure?
answer options are in the picture!!
Answers
Answer:
the Choir has total of 100 members must be correct answer
more than half......................... can't be right cause there r exactly 50 members between 43-73,
second one can't be right cause no data was given no. of men and women
there r 35 members exactly who r less than 32 years so it's wrong.
hope it helps.
Answer:
the Choir has total of 100 members
Step-by-step explanation:
