Answer:
I think it is 10 km/hr
Step-by-step explanation:
5 hrs = 40 more with 2 km/hr current
2 hrs= less 40 no current
40-2x5=30
30 without current for three hours
30/3=10 km/hr no current
CHECK
10x2=20
10x5=50+2x5=60
The speed of the motorboat in still water is 10 km/hr
A motorboat travels downstream on a river for 5 hours.
The speed of the current = 2 km/h
The river flows into a still lake and the motorboat continues for two more hours.
The distance covered by the boat on the river was 40 km more than the distance that was covered on the lake.
We have to determine the speed of the motorboat in still water
Let the speed of motorboat in still water = m km/h
Given that
The speed of river current = 2 km/hr
The river runs into a still lake
The motorboat continues to travel for 2 more hours
The distance traveled by the motorboat in two more hours in the lake = 2m km
The distance covered by the boat in the river = (40 +2m) km
Net speed of the boat in the river = (m +2 ) km/hr
Let t be the time spent by motorboat into the river.
[tex]\rm Time = \dfrac{Distance}{Speed}[/tex]
[tex]\rm t = \dfrac{40+2m }{m +2}..........(1)[/tex]
Given that the motorboat travels downstream of the river for 5 hrs
so on putting t = 5 in equation (1).
[tex]\rm 5 = \dfrac{40 +2m }{m+2}\\\\5m +10 = 40 +2m\\5m -2m = 40-10\\3m = 30\\m = 10 km/h[/tex]
So the speed of the motorboat in still water is 10 km/hr
For more information please refer to the link given below
https://brainly.com/question/12846122
find the greatest common factor
What is the complex conjugate of -2 + 3i?
What is 2+2 Im stuck on the question help me asap.
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
1+1+1+1=4
MATH HELP ASAP!! MARKING BRAINLIST
Answer:
f(2)=0
Step-by-step explanation:
f(2)=2x-4
2(2)-4
4-4
0
Answer:
I better get my brainliest
Step-by-step explanation:
Answer is 4
F=2 and X also equals 2
2x-4=4
f times x/2 is 4
That proves that the [?] is 4 and F=2
It costs $25 per day to rent a surfboard and $15 to rent a wetsuit.
Write an expression for the cost of renting the surfboard for y days.
Answer:
c = 25y
Step-by-step explanation:
c = cost
A restaurant allows customers to make a salad by selecting from a variety of items. Each salad costs the customer $2.00 plus $5.00 per pound of
selected items. Let C represent the total cost of the salad, and x represent the pounds of selected items. The equation shown can be used to
represent the situation.
C = 5x + 2
Choose two correct statements about the variables in this situation.
A The independent variable is the total cost of the salad.
B. The independent variable is the number of pounds of selected items.
C. The number of pounds of selected items depends on the total cost of the salad.
D. The total cost of a customer's salad depends on the number of pounds of selected items.
Answer:
A
Step-by-step explanation:
because it is taking about salad a. I right?
Answer:
D
Step-by-step explanation:
The total cost of a customer's salad depends on the number of pounds of selected items
I need help please and thank you
Answer:
-10
Step-by-step explanation:
Answer:
x=-10
Step-by-step explanation:
9=29+2x
-29 -29
-20=2x
x=-10
simplify using the laws of exponets please answer all 3 questions will mark brainliast
Answer:
7
1. -6
5 5 5
2. -35a b c
3
5.2t
Step-by-step explanation:
X + 233 = 500
PLEASE HELP ME AHHHHH
Answer: x = 267
Step-by-step explanation: To find x, we need to subtract 500 - 233. This equals 267.
Answer:
x=267
Step-by-step explanation:
x + 233 = 500
x=500-233
x = 267
one
Find the product:
(n - 5)(n-1)
Answer:
the prouduct is ^2 − 6 + 5
Step-by-step explanation:
Need help! I don’t get what I’m going wrong?
Determine the approximate value of side a.
pls help me out on ths
Answer:
regular price
Step-by-step explanation:
regular price
Answer:
P represents the usual price of a sandwich
The constant (1.5) represents the discount
Step-by-step explanation:
Each of the 25 students in Mr. McDonald’s class sold 16 raffle tickets. If each ticket costs $15, how much money did Mr. McDonald’s students raise?
is it 25x6=150 and then 150x15=2250?
Answer:
16 * 15 = 240 * 25 = 6000
Step-by step explanation
I think what you would do is 16 multiplied by 15 to get how much money 1 student made (16 * 15 = 240). Then you would do 240 multiplied by 25 to get how much all of the students made (240 * 25 = 6000).
hope this helps :)
Solve for a side in right triangles
Answer:
If side BC is 2 units long, and <B = 50°, then
segment AB ≈ 3.11 units long.
Find the slope of the line
8 – 7x = 4y
Step-by-step explanation:
y = mx + c
8 - 7x = 4y
4y = 8 - 7x
y = (8 - 7x)/4
= 2 - 7/4x
y = -7/4x + 2
Slope = m = -7/4
Answer:
slope = - [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
8 - 7x = 4y, that is
4y = - 7x + 8 ( divide all terms by 4 )
y = - [tex]\frac{7}{4}[/tex] x + 2 ← in slope- intercept form
with slope m = - [tex]\frac{7}{4}[/tex]
X + 3 =8
X- 5 =7
Please someone help?
Step-by-step explanation:
x+3=8
8-5=3 so x=5
7+5=12 / 12-7=5
12-5=7
Answer:
the answer is (1) x = 5 (2) x = 12
The dimensions of a wooden bench shaped like a rectangular prism are 6' x 3.5' x 2.5'. What is the volume of the bench in cubic feet?
Answer:
Step-by-step explanation:
Volume of a rectangular prism
V=l*w*h
V=6*3.5*2.5=52.50 ft^3
Which transformation was applied on figure Q?
Answer:
Clockwise rotation of 180 about the origin
take off discount and find the sale price of 15%off of $60.00
discount sale price
Answer:
15% off of $60.00 would be $51.00
Step-by-step explanation:
(15 x 15) / 100 = 9
60-9=51
</3 PureBeauty
please help me please help help help
Answer:
Yeah, its b) -68
Step-by-step explanation:
In this activity, you will use proportional relationships to predict how many times an event should occur for a certain number of trials. A standard deck of playing cards has four suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards, from ace to king. Use this information to answer the following questions.
Part A
What is the ratio of threes to the total number of cards in the deck?
part b Let x represent the number of times you’d expect a three to be drawn out of a total of 260 draws. Using the ratio from part A, write a proportion you can use to solve for x.
Part C
Solve the proportion you found in part B to determine the number of times you should expect a three to be drawn out of a total of 260 draws.
Part D
Is the answer that you got in part C an estimate or an exact number? Why?
Part E
How many times would a face card (jack, queen, or king) likely be drawn from the deck in 260 draws?
Part F
How many times would you expect a heart to be drawn in 260 draws from the deck?
Part G
Should you be surprised if a face card is drawn more times than a heart in 260 random draws? Why?
Answer: A 4/52 B X=260 C i dont know sorry
D Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.
E The number of times a face card is expected to be drawn in 260 draws is 60 times.
F A 4/52 B X=260 D Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive. E The number of times a face card is expected to be drawn in 260 draws is 60 times. F 25 % Explanation: Assuming a random drawing from a standard pack of 52 cards: 1 4 = 25 % of the cards are hearts (i.e. 13 out of 52 ) G 25 % Explanation: Assuming a random drawing from a standard pack of 52 cards: 1 4 = 25 % of the cards are hearts (i.e. 13 out of 52 )
G How many face cards are there in a standard pack of 52 cards?
The deck has four suits: spades, clubs,hearts, and diamonds. Each suit has 3 face cards: king, queen and jack. So altogether there are 4 × 3 = 12 face cards in the 52-card deck.
There are different opinions about whether the ace is a picture card. Aces are not included in the answer.
The size of the sample space is 52. Assuming the cards are well-shuffled,
Pr(getting a face card when one card is drawn) = 1252=626=313
explanation : this took me forever
Part A:
The ratio of threes to the total number of cards in the deck is 1 : 13.
Part B:
1/13 = x/260
Part C:
The number of times you should expect a three to be drawn out of a total of 260 draws is 20.
Part D:
It is an estimate because the actual number of times a three is drawn in 260 draws may vary due to chance.
Part E:
We should expect a face card to be drawn approximately 60 times out of 260 draws.
Part F:
We should expect a heart to be drawn approximately 65 times out of 260 draws.
Part G:
We should not be surprised if a face card is drawn more times than a heart in 260 random draws.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Part A:
There are four threes in the deck and a total of 52 cards.
Therefore, the ratio of threes to the total number of cards in the deck is:
= Threes : Total number of cards
= 4 : 52
Simplifying the ratio by dividing both sides by 4 gives:
= Threes : Total number of cards
= 1 : 13
Part B:
Let x represent the number of times a three is expected to be drawn out of a total of 260 draws.
Using the ratio from part A, we can write the following proportion:
1/13 = x/260
Part C:
Solving the proportion from part B for x gives:
x = (1/13) x 260
x = 20
Therefore, we should expect a three to be drawn approximately 20 times out of 260 draws.
Part D:
The answer in part C is an estimate because the actual number of times a three is drawn in 260 draws may vary due to chance.
Part E:
There are 12 face cards in the deck (4 jacks, 4 queens, and 4 kings).
Using the ratio from part A, we can set up the following proportion:
4 x 12 / 52 = x / 260
Solving for x gives:
x = 60
Therefore, we should expect a face card to be drawn approximately 60 times out of 260 draws.
Part F:b
There are 13 hearts in the deck.
Using the ratio from part A, we can set up the following proportion:
13/52 = x/260
Solving for x gives:
x = 65
Therefore, we should expect a heart to be drawn approximately 65 times out of 260 draws.
Part G:
We should not be surprised if a face card is drawn more times than a heart in 260 random draws.
This is because there are more face cards in the deck (12) than hearts (13), and the proportion of face cards to the total number of cards is greater than the proportion of hearts to the total number of cards.
Thus,
All parts of the answer are mentioned above.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
The rule (x, -y) is a reflection over the y axis. true or false
Answer:
False
Step-by-step explanation:
Triangle ABC has the coordinates A (1,4), B (3,6), C (-1,5). Determine the coordinate for B' after a dilation with a scale factor of 3. pls help and HURRY!!
A. (2, 1)
B. (3, 6)
C. (6, 9)
D. (9, 18)
Answer:
Step-by-step explanat a 2,1
f(n)=n^2-1; find f(5)
Answer:
f(n)=5^2-1=25-1=24
Step-by-step explanation:
Step-by-step explanation:
f(n)=5^2-1=25-1=24
OMG HELP THIS IS DUE JANUARY 29TH
A ride in a taxi cost $3.50 plus $0.35 for every fourth mile traveled. If Sam travels x miles, then which of the following algebraic expression represents the trip?
a) $3.50+$1.40x
b) $3.50+$0.35x
c) $3.85x
d) 0.35x+$3.50x
Can someone please help me
Answer:
(a)0,2 1,-1 2,-4 3,-7 (b) yes
what is 10 to the 10th power
Answer:
10000000000
10x10x10x10x10x10x10x10x10x10
simplify square root of 8
Answer:
2root2
Step-by-step explanation:
Susie ran 195 miles last month. She needs 80% more to reach her training goal. How many miles, in all, will she run to reach her goal? Please, this is really important!
Answer:
The answer is 351 miles
Step-by-step explanation:
20%=39
80%=156
100%=195
39x4=156
Since you found 80% you have to add that to 100% and if you do the math right you should get 351 miles. Hope that helps.
order to create the box plot:
Answer:
b
Step-by-step explanation: