Answer:
1.5 mph
Step-by-step explanation:
Let speed of boat be x
let speed of current be c
Also, note D = RT
D is distance
R is rate
T is time
Now, for first leg, we can write:
(x+c)3 = D
And for second leg , we can write:
(x-c)4.8 = D [note 4 hour 48 minutes is 4.8 hours]
We can equate both D's to get:
(x+c)3 = (x-c)4.8
3x + 3c = 4.8x - 4.8c
7.8c = 1.8x
We know x = 6.5 [given], plugging it in and solving for c:
7.8c = 1.8(6.5)
c = 1.5
Speed of Current = 1.5 miles per hour
Hello!
To find this ordered pair, we solve for x and y and put them together in an ordered pair.
-4+y=8
x-5y=17
Let's solve the first equation for y.
y= 12
Now, let's plug 12 into the second equation for y.
x-5(12)=17
x-60=17
x=77
Therefore, our ordered pair is (77,12)
I hope this helps!
for the rectangular red paper :
w₁ = width of the red paper = 4 cm
L₁ = length of red paper = 2 w = 2 x 4 = 8 cm
A₁ = area of the red paper = L₁ w₁ = 8 x 4 = 32 cm²
for the rectangular blue paper :
w₂ = width of the blue paper = 3 cm
L₂ = length of blue paper = 7 cm
A₂ = area of the blue paper = L₂ w₂ = 7 x 3 = 21 cm²
area visible is given as
A = A₁ - A₂ = 32 cm² - 21 cm² = 11 cm²
so 11 square units of red paper will be visible on top
It is given that 
.
Now, know that in 180 degrees there are 
radians. This can be written as:
radians
radians (dividing both sides by 180)
Thus, to find the measure of the given angle of 
in radians, we will have to multiply the above equation by 135. Thus, we get:
radians
radians
Thus, equivalent to the radian measure of angle a is 2.356
Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents
70 = 8b + 15c
he made a total of 7 copies
b + c = 7
system of equation:
70 = 8b + 15c
b + c = 7
--------------------------
b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c
plug in 7 - c for b
70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)
70 = 56 - 8c + 15c
Simplify like terms
70 = 56 - 8c + 15c
70 = 56 + 7c
Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides
70 (-56) = 56 (-56) + 7c
14 = 7c
divide 7 from both sides to isolate the c
14 = 7c
14/7 = 7c/7
c = 14/7
c = 2
c = 2
---------------
Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5
Jake made 5 black-and-white copies, and 2 color copies
hope this helps
