Answers
Answer:
The speed of the boat in still water is 12 miles per hour, while the speed of the current is 9 miles per hour.
Step-by-step explanation:
We'll use x as the speed of the boat in still water in miles per hour.
We'll use y as the speed of the current in miles per hour.
When the boat is traveling downstream, the speed of the boat is helped by the speed of the current and the net speed is x + y.
When the boat is traveling upstream, the current opposes the movement of the boat, and the net speed is x - y.
Using a table where d = distance in miles, r = rate or speed in miles per hour, and t = time in hours can help figure out how to figure out this problem.
─────────────────
Downstream│210│(x + y)│10
Upstream│210│(x - y)│70
─────────────────
Recall that distance = rate x time or d = rt.
210 = (x + y)10 ➤ Equation from downstream information.
210 = (x - y)70 ➤ Equation from downstream information.
210 = 10x + 10y ➤ Distribute.
210 = 70x - 70y ➤ Distribute.
7 × 210 = 7 × 10x + 7 × 10y ➤ Multiply the 1st equation by 7.
1470 = 70x + 70y ➤ Add the 1st equation to the 2nd.
210 =70x - 70y ➤ Add the 1st equation to the 2nd.
1680 = 140x
─────────────────
1680/140 = 140x/140
x = 12
210 = (12 + y)10 ➤ Substitute x = 12 into one of the original equations to find y.
210 = 120 + 10y
-120 - 120
90 = 10y
90/10 = 10y/10
y = 9
Related Questions
please help me asappp! I'll give brainlest and points!
Answers
Answer:
1) true
2)true
3)false
4)true
5)true
6) false
7))true
8)true
9)false
10)false.
11)false
12)true
Answer:
1-True
2-True
3-False
4-True
5-True
6-False
7-True
8-True
9-False
10-False
11-False
12-True
A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is 4 mph. What is the speed of the flying carpet in still air?
Answers
Answer:
15.2 mph
Step-by-step explanation:
2.4÷(x+4)=1.4÷(x-4)
1.4(x+4)=2.4(x-4)
1.4x+5.6=2.4x-9.6
-x=-15.2
x=15.2
Hope this helps!
Answer:
15.2
Step-by-step explanation:
look at other explanation
jeff is playing a new video game the goal is to explore a cave with many levels and collect gold coins in order to get through a door to the next level you must master a secret code jeff's video character has 4 pockets on his jacket the top left pocket is marked with 3/4 the top right is marked 5/15 the lower left pocket is 8 /12 and the lower right pocket is 9/12
Above the cave door at each level is a number card to open the door he must take the number card form the door and put it in the correct pocket if he puts it in the wrong pocket he loses one of his 3 lives number are 6/8 4/8 6/9 16/32 21/28 12/18 6/12 6/18
Answers
Explanation:
I think the easiest way is to simplify them all, so that you can find which ones are equal! I marked the pockets in red on each door. But for example, 3/6 is equal to 1/2 because if you multiply 1/2 x 3/3 you get (1 x 3)/ (2 x 3) or 3/6. So the goal is to find a number you can divide the fraction by. You can see if it’s all the way simplified you can no longer divide the top and bottom by the same number. In the second door, you could start by dividing by 2: 4/8 divided by 2/2 is 2/4. But now we can divide by 2 again: 2/4 divided by 2/2 is 1/2. And 1/2 matches one of our pockets, the top left one!
Herbert was given a pocket watch bass grandfather. The value of the watch, for any given year, t, from the time Herbert received it is modeled by the function f(t) = 150(1.35)^t. He was also given a classic guitar. It's value for any given year is modeled by the function represents in the table:
t: 0, 1, 2, 3, 4
g(t): 175 210, 252, 302.40, 362.88
What is the positive difference in values of the items in the sixth year?
A.) $385.57
B.) $472.66
C.) $835.54
D.) 893.60
Answers
Answer:
the answer is A
Step-by-step explanation:
I took the test
Two quantities are related as shown in the table. Which equation best represents the relationship?
Answers
X+3/2 - X-2/2 = 1 Hence find p, if 1/X + p = 1
Answers
Answer:
pie =1 so hence find p x+3+2 -X-22+1 =1
Step-by-step explanation:
On vacation we went to a bike rental shop. They charged a $12
fixed fee plus $7 an hour for renting a bike. I paid $64 dollars to rent a bike. How many hours did I pay to have the bike checked out? Write out equation and solve. Show work
Answers
You total fee 64 = 12 + 7x
1) Subtract 12 from both sides
52 = 7x
2) Divide both sides by 7
x = 7 3/7
3) Answer in complete sentence;
I checked out the bike for 7 and 3/7 hours
Determine the equation of the line parallel to y=-5x+3 and passing
through the point (-3,7)
Answers
Answer:
y = -5x - 8
Step-by-step explanation:
Parallel lines have the same gradient
Using the point (-3,7) we will form our own equation.
-3 will be x, 7 will be y, -5 will be m, all we have to do is find the C in the form y=mx+c
7 = -5(-3) + c
7 = 15 + c
C = -8
Therefore;
y = -5x - 8
The Robinsons order pizza for dinner. Their pizza costs $12.99. The tax in their city is 7% and they want to tip their delivery driver 15%. What is their total cost for the pizza? The tip should be based on the price BEFORE tax. Round to the nearest cent.
A.$20.14
B.$13.21
C.$11.81
D.$15.85
Answers
Lucinda ran 3.7 miles in 30 minutes. What was her average time for each mile?
Answers
Answer:
Her average time was 8.1 minutes per mile.
Step-by-step explanation:
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Distance covered = 3.7 miles
Time taken = 30 minutes = 0.5 hour
Time taken to cover 1 mile :
[tex] \dfrac{0.5}{3.7} [/tex][tex] \dfrac{5}{37} [/tex][tex]0.135 \: \: hr[/tex]average time for each mile is equal to 0.135 hr or 8.1 minutes.
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1/12
of a circle.Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 6:45 p.m. (on the same day)?
Answers
9514 1404 393
Answer:
12 11/24 radians (combined angular motion)
Step-by-step explanation:
In one hour, the combined angular motion is ...
(2π)(1 +1/12) = 13π/6 radians
Then in the 5 3/4 hours between 1 pm and 6:45 pm, the angular motion of the two hands will total ...
(23/4)(13π/6) radians = 299π/24 radians = 12 11/24 radians
_____
Additional comment
Maybe you're asking for the separate motions.
minute hand: 2π×5.75 = 11.5π radians
hour hand: (π/6)×5.75 = 23π/24 radians
please I need help from somebody for this question. it's really confusing. thanks
Answers
Answer:
16 * (cube root of 0.5)
Step-by-step explanation:
Radius of the big cone = 12 cm / 2 = 6 cm
Let r = radius of the small cone (cone of water), and h = the height of the small cone
Also, r / h = 6 / 16, so that h = (16/6)r = (8/3)r.
Thus, since the volume of the big cone = (1/3)π(r^2*h)=(1/3)π(6^2*16), and the volume of the small cone = (1/3)π(r^2*h)=(1/3)π(r^2*(8/3)r) = (1/3)π(r^3*(8/3)), and the volume of the small cone is half the volume of the big cone, we have that
(1/3)π(r^3*(8/3))=(1/2)((1/3)π(6^2*16))
(r^3*(8/3))=(1/2)((6^2*16))
r^3 = (3/8)(1/2)(6^2)(16)
r^3 = (1/2)(6^3)
r = (cube root of 1/2)(6),
and
h = (8/3)r = (8/3)(cube root of 1/2)(6) = 16(cube root of 1/2), the depth of the water.
The fence around a circular pool is 75 ft long.
Radius=
Diameter=
Circumference=
Answers
Answer:
Step-by-step explanation:
circumference=75 ft.
2πr=75
r=75/2π=75/(2×3.14)≈11.937
radius=11.94 ft
Diameter=2r=2×11≈23.87 ft
Write 34/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answers
Answer:
The decimal form of this fraction is 3.7 repeating.
Answer:
3.777...
Step-by-step explanation:
make the sentence of possessive pronouns
Answers
Answer:
They left their wallet on the table, I wonder if they know.
The possessive pronoun- their
Noah and Amelia are reading the same book. At the beginning of the month, Noah was on page 41 and Amelia was on page 13. Noah will read 12 pages per day and Amelia will read 16 pages per day. Let NN represent the page of the book that Noah is on at the end of tt days into the month, and let AA represent the page of the book that Amelia is on at the end of tt days into the month. Write an equation for each situation, in terms of t,t, and determine whether Noah or Amelia is farther along in the book after 3 days.
Answers
Answer:
After 3 days, Noah is still farther along reading.
Step-by-step explanation:
Here are the two equations:
NN = 12tt + 41
AA = 16tt + 13
Now we plug in 3 to both equations to see what page they're on after 3 days:
[tex]NN = 12(3) + 41\\NN = 36 + 41\\NN = 77 \\\\AA = 16(3) + 13\\AA = 48 + 13\\AA = 61[/tex]
After 3 days, Noah is 77 pages along and Amelia is 61 pages along.
77 pages > 61 pages so therefore Noah is still farther along.
What is the slope of the line on the graph?
Answers
The slope of the line on the graph -2
Answer:
-2
Step-by-step explanation:
To find the slope pick ANY 2 points on the line and see what you had to do to get from one point to another point.
Keep in mind that slope = rise/run , or m = difference in y /difference in x
For example, Start at (0,0) and Go to (6,-3)
To get from one point to the other you have to go up 6 and left 3 so slope is
m=6/-3 = -2
A local hamburger shop sold a combined total of 719 hamburgers and cheeseburgers on Saturday. There were 69 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?
ü hamburgers
х
5
?
Answers
Hello, need help on this Coordinate Math question please (:
Answers
Answer:
(8, 3)
Step-by-step explanation:
The first number (8) is our x, and we can see that this point is 8 units to the right. Then the second number (3) is our y, and we can see this is 3 as the point is 3 units up.
x = right or left
- right = positve
- left = negative
y = up or down
- up = positve
- down = negative
Answer:
B = (8, 3)
Step-by-step explanation:
In the ordered pair (x, y) of point B, (8, 3):
x = 8
y = 3
Hope this helps :)
If f(x) = 2x and g(x) = 5x + 2, what is (f • g)(x) when x = 3?
Answers
Answer:
f×g=
[tex] = 2x \times (5x + 2) \\ = 10 {x}^{2} + 4x \\ = 10 \times {3}^{2} + 4 \times 3 \\ = 90 + 12 \\ = 102[/tex]
all points having an x-coordinate of 1 whose distance from the point (-3,-6) is 5
Answers
Answer:
[tex]They'll \: be \: on \: the \: circle:[/tex]
[tex](x+3)^2+(y+6)^2=25[/tex]
[tex]x=1[/tex]
[tex](y+6)^2=9[/tex]
[tex]y + 6 = 3[/tex]
[tex]y = -3[/tex]
[tex](1,-3)[/tex]
[tex]y + 6 = -3[/tex]
[tex]y = -9[/tex]
[tex](1,-9)[/tex]
Step-by-step explanation:
[tex]Thank \: you!!!!!![/tex]
ASAP ASAP ASAP
Find the volume of a box with the following measurements:
l=6cm
w=4cm
h=10 cm
20 cm2
20 cm
240 cm2
20 cm3
240 cm
240 cm3
Answers
Answer: 240cm cubed (the three)
Step-by-step explanation:
Length x width x height
6x4x10
Which tank is filling most quickly?
Choose 1 answer:
Answers
Answer:
The ocean
Step-by-step explanation:
a)231*12 531*23 505*11 402*44 b) 516*25 893*72 860*91 c) 413*25 120*518 119*98 7*00*125 d) 7800*8600 980*37000 1860*890 5800*4700. * = razy
Answers
....................... is 10 times greater than three hundreds.
guys please help
Answers
Answer:
3000
Step-by-step explanation:
300×10=300
plz mark me brainiest
My question is this.
Answers
Answer:
5/x3
Step-by-step explanation:
just calculated it
Hey can anyone help with this question please and thank you
Answers
Answer:
x = 16
Step-by-step explanation:
7x + 9 = 9x - 23
9 + 23 = 9x - 7x
32 = 7x
32 / 7 = x
16 = x
Hence, we can establish the following equality statement to solve for x:
< (7x + 9) = < (9x - 23)
Subtract 7x from both sides:
7x - 7x + 9 = 9x - 7x - 23
9 = 2x - 23
Add 23 on both sides:
9 + 23 = 2x - 23 + 23
32 = 2x
Divide both sides by 2 to solve for x:
32/2 = 2x/2
16 = x
Therefore, x = 16.
Substitute x = 16 into the equality statement to verify whether it is the correct value:
< (7x + 9) = < (9x - 23)
7(16) + 9 = 9(16) - 23
112 + 9 = 144 - 23
121 = 121 (True statement. Therefore, x = 16 is the correct answer).
Please mark my answers as the Brainliest if you find my solution helpful :)
Please answer the question quickly please
Answers
Answer:
c. 9 miles
Step-by-step explanation:
Answer:
I think it is 9 miles
Step-by-step explanation:
help me with this guys !! (a lot is points)
1)what is the value of this expression? 4m + 2n, when m = 7 and n = -2
2) Use the formula: P=abc, to work out for P when a = 2, b= 3 , c =4
3)what is the correct option (expression) for this “multiply n by 9 then adds 5’’?
options
a: 9(n+5)
b: 9n + 5
c: 5n + 9
d: 5(n+9)
4)use the position -to-term rule to find the first four terms in the sequence. term = 3x position number + 3
5) amy thinks of. number n. what is the correct expression if she doubles ur and -‘s 7
Answers
Answer:
Step-by-step explanation:
1) 4m + 2n = 4*7 + 2*(-2)
= 28 - 4
= 24
2) P = abc
= 2*3*4
= 24
3) Multiply n by 9 : 9*n = 9n
Then add 5
9n + 5
4)double of n = 2*n = 2n
The product of 1 and any number is the…
Answers
Answer:
same number
Step-by-step explanation:
The product of 1 any number is the same number.