Answer:
the rate / speed of the boat is 10 miles per hour.
the rate / speed of the current is 2 miles per hour.
Step-by-step explanation:
r = rate of boat (speed of boat)
t = time
d = distance.
c = rate of current (speed of current)
with the current, the formula becomes (r + c) * t = d
against the current, the formula becomes (r - c) * t = d
going with the current, the boat takes 1 hour to travel 12 miles.
therefore:
(r + c) * t = d becomes (r + c) * 1 = 12
going against the current, the boat takes 1.5 hour to travel the same 12 miles.
therefore:
(r - c) * t = d becomes (r - c) * 1.5 = 12.
your two equations that need to be solved simultancously are:
(r + c) * 1 = 12
(r - c) * 1.5 = 12
divide both sides of the second equation by 1.5 and leave the first equaion as is to get:
r + c = 12
r - c = 8
add the equations together to get:
2 * r = 20
solve for r to get:
r = 20 / 2 = 10
(r + c) * 1 = 12 becomes (10 + c) * 1 = 12
simplify to get 10 + c = 12
solve for c to get c = 12 - 10 = 2
(r - c) * 1 = 8 becomes (10 - c) * 1 = 8
simplify to get 10 - c = 8
solve for c to get c = 10 - 8 = 2
you have:
r = 10
c = 2
that's your solution.
the rate / speed of the boat is 10 miles per hour.
the rate / speed of the current is 2 miles per hour.
Use the distributive property to rewrite the expression in factor form. 18h - 33
Answer:
you have to factor 3 out of 18h-33 so you get 3(6h-11)
Let W represent the number of attempted experiments to get one experiment that is not successful.
The random variable W has a geometric distribution with mean 4 and standard deviation 3.5. Which of the following is the best interpretation of the standard deviation?
A single value randomly selected from the distribution of W will vary 4 by 3.5 attempted experiments. (collegboard)
Answer:
Values of W typically vary from 4 by about 3.5 attempted experiments, on average.
Step-by-step explanation:
How old is Abraham How old is Abraham Lincoln
Answer:
Abraham Lincoln was 56 years old when he died.
Step-by-step explanation:
Please help me solve this is due
Answer:
option D is correct answer hope it helps
What is the sum of the interior
angle measures of a polygon
that has 7 sides?
Sum = [?]
Hint: Sum = (n-2)180
Answer:
Sum = 900 degrees.
Step-by-step explanation:
Sum = (n-2)180
=(7-2)180
=(5)180
=900
Answer:
900 degrees
Step-by-step explanation:
The formula for calculating the sum of the interior angles of a regular polygon is : ( n - 2) × 180°. when n is number of sides.
Sum of angles = ( n-2) × 180
Sum of angles = (7-2) × 180
Sum of angles = 5 × 180
Sum of angles = 900 degrees
The area of the white square is 64 square units. The diagonal of the square was extended to point A until the length of segment AB was double the length of the diagonal of the square. What is the area of the gray part?
Answer:
Area of the gray region = 64 square units
Step-by-step explanation:
Area of the white square = 64 square units
Length of a side of the given square = [tex]\sqrt{\text{Area}}[/tex]
= [tex]\sqrt{64}[/tex]
= 8 units
By Pythagoras theorem,
Length of diagonal DB = [tex]\sqrt{BC^2+CD^2}[/tex]
DB = [tex]\sqrt{8^2+8^2}[/tex]
= [tex]8\sqrt{2}[/tex]
AD = DB = [tex]8\sqrt{2}[/tex] [Given]
OD = OC = [tex]\frac{1}{2}(DB)[/tex]
= 4√2
Therefore, AO = AD + OD = 8√2 + 4√2
= 12√2
Area of ΔACD = Area of ΔAOC - Area of ΔCOD
= [tex]\frac{1}{2}(AO)(OC)-\frac{1}{2}(CO)(OD)[/tex]
= [tex]\frac{1}{2}[(12\sqrt{2}\times 4\sqrt{2})-(4\sqrt{2})^2][/tex]
= [tex]\frac{1}{2}[96-32][/tex]
= 32
Therefore, area of gray part = Area of ΔACD + Area of ΔAED
= 32 + 32
= 64 square units
Answer:
64 square units
Use the given information to solve for x and y
Answer:
x = 10 and y = 7
Step-by-step explanation:
Equalateral triangle means all sides are equal.
x = 10, easy
make y + 3 = 10
y = 7
Easy, no real math needed. lol
If Pooh Bear spots a bee hive in a tree at an angle of elevation of 48 degrees, then what is the angle of depression of the Queen Bee who's on that same hive spots Pooh Bear? (Answer in degrees.)
Answer:
∅ = 90 - 48 = 42°
Step-by-step explanation:
tn=2n-5n, find t7=
A)93
B)21
C)75
D)54
Answer:
Step-by-step explanation:
Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted
points to sketch out the graph of F(t).
(0, 26.24)(12, 104) (24, 26.24)
Answer:
should be easy just plot the points
Step-by-step explanation:
we don't have the chart, though.
Answer:
Answer is attached :)
Step-by-step explanation:
What transformation is described by the
notation (x, y) → (X + 4, y)?
A translation left 4 units
B translation down 4 units
C translation right 4 units
D translation up 4 units
Answer:
c - translation right 4 units
Answer:
C
Step-by-step explanation:
Translation to right 4 steps
1 Identify the expressions.
15 = 15
Om = 0
5+5 – 2(1)
Ox+y=5+2
Answer:
equalities
Please put the Brainlest
PLEASE HELP THIS IS URGENT
Kayla is thinking of a 3-digit number. * It is divisible by 18. * It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848). * It is one less than a multiple of 5. What is Kayla’s number?
Answer: 414
Step-by-step explanation: 414 is a palindrome that is divisible by 18 because it’s an even number and that it’s one less than 415 which is a multiple of 5.
Kayla's number is 414 and this can be determined by using the given data and also by using the arithmetic operations.
Given :
Kayla is thinking of a 3-digit number. It is divisible by 18.It is a palindrome.It is one less than a multiple of 5.The following steps can be used in order to determine Kayla’s number:
Step 1 - Remember palindrome means 'reads the same left-to-right as it does right-to-left'.
Step 2 - The digit should be between 0 to 9 and according to the given data, the number is one than a multiple of 5 that is, the first and last digit must be 4 or 9.
Step 3 - So, the number which is divisible by 18 is 414.
For more information, refer to the link given below:
https://brainly.com/question/25277954
Suppose a - b = 0Which one of these expressions equals ab?
A. 2a
B. 0
C. b^2
D. 2b
E. a/b
If a-b=0, a=b, so ab=bb=b^2
Answer:
b^2
Step-by-step explanation:
a - b = 0
Add b to each side
a-b+b = 0+b
a=b
We want to find ab
Replace a with b
b*b
b^2
A water tank in the shape of a cylinder contains 54,000 gallons of water. 60% filled If the tank is only 60% filled, how many gallons of water can the tank hold? Enter the correct answer in the box.
Answer:
90000 gallons
Step-by-step explanation:
Given
[tex]Capacity\ at\ 60\% = 540000[/tex]
Required
Determine the full capacity
Let the maximum number of gallons be m.
So, we have:
[tex]60\% * m = 54000[/tex]
Convert % to decimal
[tex]0.60 * m = 54000[/tex]
Divide both sides by 0.60
[tex]m = \frac{54000}{0.60}[/tex]
[tex]m = 90000[/tex]
Hence, the maximum number of gallons it can hold is 90000 gallons
Answer:
Step-by-step explanation: capacity is 60% = 54000
Determine what is missing = 90000
Use the fact 26% of 78= 20.28 to find 13% of 78
Answer:10.14
Step-by-step explanation:
13x78=1014/100=10.14What is not equal to 120 centimeters
Answer:
120mm
Step-by-step explanation:
Thank u....
............
Find x.
2x + 40
Зх.
4x
X + 50
x = [?]
Answer:
x=122
Step-by-step explanation:
What is the ordered pair of X' after point X (3, 4) is rotated 180°?
X (3,-4)
X(-3,-4)
X (-4,3)
X(-4,-3)
Answer:
X′ (−3, −4)
Step-by-step explanation:
Just took the test :)
The price of a shirt has been discounted by $20. The sale price is $24.95. What percent of the original list price is the discount?
(a) Use the verbal description to write a verbal model.
o change in price = (original price)/(percent)
o change in price = (percent)(original price)
O change in price = (percent) - (original price)
o change in price = (original price) + (percent)
O change in price = (percent)/(original price)
(b) Assign labels to the quantities in the verbal model.
--Select-
= 20
---Select-
---Select-
= 44.95
(C) Use the labels to write a mathematical model.
(d) Solve the problem. (Round your answer to the nearest whole number.)
%
Answer:
this is an example
Step-by-step explanation:
There are a few different ways to approach this problem, including the following two methods.
1) Find 20% of the original price, then subtract that amount from the original price.
To find a percentage of a number, you multiply the number by the percentage. (You are finding a part of a whole.)
20% = 20/100 = 1/5 or 20% = 0.20
Original Price: $24 Find 20% of $24. (Note: "of" is taking part of a whole, so you multiply.)
0.20 x 24 = 4.80 This is the mark down, or the amount you subtract from original price.
Sale Price = Original Price - Mark Down
= 24.00 - 4.80
= 19.20
2) If you save 20%, you are still paying 80%. (100-20 = 80) Therefore the sale price is 80% of the original price.
80% = 80/100 = 4/5 or 80% = 0.80
Sale Price = 80% of Original Price
= 0.80 x 24
= 19.20
what is the area of a rectangle that is 4 inches long and 1 3/4 inches wide
Answer: 7 inches
Step-by-step explanation:
4 times 1 3/4 is 7
Always, Sometimes, Never
Two similar triangles are congruent
Answer:
Similar triangles are sometimes congruent. We can consider two triangle such that the measure of all the angles are equal but the sides of one triangle is three times the side of the other triangle in such a case the triangles are not congruent but they are similar
8x = 63.2
How do I solve for x
Answer:
7.9
Step-by-step explanation:
8x=63.2
Simply divide 63.2 by 8 to get an answer of 7.9 :)
If you need more Spad
Pythagorean Theorem. Lights and More Lights
The residents of watson Avenue are decorating their houses for upcoming holidays
They have decided to all string lights around the roofs their houses, How many feet of
lighting does Sarina need if she wants to string lights along roof?
Your work should include:
Length of the roof including formulas used (3 points)
A description of the Pythagorean Theorem (3 points)
Calculations (3 points)
Explanations using math terms (3 points)
If you need more space to show your problem
solving go to th next slide
Answer:
Just convert the number to the third digit and the answer will be b
A painter is placing a ladder to reach the third story window, which is 34 feet above the ground and
makes an angle with the ground of 70°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.
The base of the ladder needs to be positioned ______
feet out from the building.
Answer:
34 times 70
Step-by-step explanation:
Can somebody please help me!!
Answer:
C≈15.71
Step-by-step explanation: use the circumference formula
correct 96897 to the nearest thousand
There will be 6 people at Eli's cake party. She wants to bake enough cake so that each person she feeds eat at least 1/5 of the cake. What is the minimum number of cakes you should bake?
Answer:
2 cakes
Step-by-step explanation:
You need 2 cakes minimum for 6 people if she wants each person to get 1/5 of a cake.
became Holy Roman Emperor in 1519
i know the answer but first person to answer gets brailyst
Answer:
Holy Roman Emperor, was the ruler and head of state of the holy Roman Empire.
Please answer this question for me thank you.
Answer:
24
Step-by-step explanation:
S is 24. 24 times 5 equals 120. To find the answer, you need to divide the bigger number (120) by the other number (5) and then you will get your answer.