Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:
a + 5 = 80/t
t = 80/(a + 5)
For upstream:
a - 5 = 60/t
a - 5 = 60 / (80/(a + 5))
a - 5 = 0.75a + 3.75
0.25a = 8.75
a = 35 miles per hour
The speed of the motor-boat in still water is 35 miles per hour.
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I'll mark you brainlest if you answer this correctly please help
Answer:
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A baseball team won about 62% of 162 games in a season.
About how many games did they win?
Answer:
the one about 100 games
Step-by-step explanation:
62 percent *162 =
(62:100)*162 =
(62*162):100 =
10044:100 = 100.44
this rounds to 100
Answer:
About 100 games
Step-by-step explanation:
162 * 0.62 = 100.4
100.4 rounded is 100
can someone please help me i need to show the working out too
Answer:
(1) x=15/2
(2) x=1
Step-by-step explanation:
(1) 4x−1 /2 =x+7
2x+ −1 /2 =x+7(Distribute)
2x+ −1 /2 =x+7
Step 2: Subtract x from both sides.
2x+ −1 /2 −x=x+7−x
x+ −1 /2 =7
Step 3: Add 1/2 to both sides.
x+ −1 /2 + 1 /2 =7+ 1 /2
x= 15 /2
(2) 3x+2=( 2x+13)/ 3
3x+2= 2 /3 x+ 13 /3 (Distribute)
3x+2= 2 /3 x+ 13 /3
Step 2: Subtract 2/3x from both sides.
3x+2− 2 /3 x= 2 /3 x+ 13 /3 − 2 /3 x
7 /3 x+2= 13 /3
Step 3: Subtract 2 from both sides.
7 /3 x+2−2= 13 /3 −2
7 /3 x= 7 /3
Step 4: Multiply both sides by 3/7.
( 3 /7 )*( 7 /3 x)=( 3 /7 )*( 7 /3 )
X=1
Laura is going to invest in a business. There is a 50% chance that she will make $8000, a 40% chance that she will lose $4000, and a 10% chance that she will break even (make $0). What is the expected value for Laura's investment?
Based on the various probabilities of outcomes, the expected value of the investment is $2,400
The expected value can be calculated as:
= ∑ (Probability of event happening x Payoff if event happens)
The expected value here is therefore:
= (50% x 8,000) + (40% x -4,000) + (10% x 0)
= $2,400
In conclusion, the expected value is $2,400.
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There is a row of 15 trees in a garden. Starting from the first tree, a gardener marked every second tree, then, on his way back, he marked the first tree, and then every third tree. How many trees are left without a mark?
Answer:2
Step-by-step explanation:
15/3 = 5
15/2 = 7.5
+1
= 13
15 - 13 = 2
=====================================================
Explanation:
The gardener starts at the first tree and then marks every second tree. So they'll skip a tree each time.
The set of trees he marks has the labels {1,3,5,7,9,11,13,15}. Basically it's the set of odd whole numbers between 1 and 15. Or you could notice that we add on 2 each time we need another tree to mark.
Then he goes back to the first tree and marks every third tree. So we have this new set: {1,4,7,10,13}. Start at 1 and add 3 each time to generate a new item.
Union the two sets mentioned and you'll get {1,3,4,5,7,9,10,11,13,15}
We see that the following trees aren't marked: {2,6,8,12,14}
There are 5 items in that last set.
Side note: The trees with labels {1,7,13} have been marked twice. There's a gap of 6 units between each adjacent label.
how many days would it take for a tiger to eat a boar
PLEASE HELP ME!!
The pie chart below showshow we annual budget for the passasted Manufacturers Company is divided by department. Use this chant to answer the
(a) Which department accounts for approximately one-third of
the annual budget
Support
Sales
Research
Engineering
Support
Media
Marketing
(b) Appraimately what percentage of the and botinet is
used for Sales and Research combined
Write your answer as a multiple of 10%- that is, 10%, 20%, 30%,
(C) 16% of the annual budget is used for Mariesting,
approximately what percentage is used for Support
2%
09%
18%
300%
Answer:
a) Research
b) 50%
c) 18% (as marked)
Step-by-step explanation:
a)About 1/3 of the chart is covered by the segment marked Research.
__
b)Sales and Research together cover almost half the chart, about 50%.
__
c)The size of the Support sector is about 3 times the size of the Marketing sector. This lets us estimate Support at about 18% of the budget.
PLZ HELPPP
Use the distributive property to fill in the blanks below.
Answer:
4 - 3
Step-by-step explanation:
fill in the blanks with the numbers you have left. you dont need the 5 since its already there :D
A grocery store sells steak for $6.10 per pound. What would be the cost of 2 3/5 lb. of steak?
Answer:
$15.86
Step-by-step explanation:
Make 2 3/5 improper fraction (5 times 2 and add 3 equals 13)
13/5 times 6.1 ( or 6 1/10 or 61/10)
equals 793/50
divide
answer is 15.86
Can someone please take the time out of day to help me with this
Answer:
a. 54, b. 117, c. 63
Step-by-step explanation:
a. Angle 11 is corresponding to angle 1, which is linear to angle 2, which is 126 degrees. So angle 11 is 180 - 126 = 54 degrees
b. Angle 8 corresponds to angle 14, which is 117 degrees.
c. Angle 7 is linear to angle 8, so it is 180 - 117 = 63 degrees
Answer:
a or <11 is 54 degrees, b or <8 is 117 degrees, c or <7 is 63 degrees
Step-by-step explanation:
A. <2 = <12, <12 + <11 = 180, 180 - 126 = 54
B. <14 = <8, 117 = 117
C. <7 + <8 = 180, 180 - 117 = 63
Suppose that 600 yards of fencing material are available to fence in
two adjacent rectangular corrals sharing a common fence. Find the
dimensions of the corrals that will enclose a maximum area (Please help)
Answer:
Length = 150 yards
Width = 100 yards
Step-by-step explanation:
We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.
It will take the shape of a rectangle, with a dividing fence down the center.
Let W and L, Width and Length of the larger enclosure.
See attachment.
W= Area of the larger enclosure.
The perimeter is 2W + 2L.
The dividing fence is 1W
We know that we only have 600 yards of fence, so:
2W + 2L + 1W = 600 yards
Area = W x L
---
3W + 2L = 600 (yards)
2L = 600 -3W
L = (600-3W)/2
L = 300 -(3/2)W
---
Use this expression in the Area calculation:
Area = W x L
Area = W x (300 -(3/2)W)
Area = 300W -(3/2)W^2)
To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.
Area' = 300 -2(3/2)W)
0 = 300 - 3W
3W = 300
W = 100 yards
Since 3W + 2L = 600
L = (600 - 3W)/2
L = (600 - 3(100))/2
L = 150 yards
Area = 150*100 = 15,000 yards^2
What is the domain of f(x) = (x + 2)2 – 1?
Simplify
[tex]\\ \tt\Rrightarrow f(x)=(x+2)^2-1[/tex]
[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+2-1[/tex]
[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+1[/tex]
The Domain is set of all real numbers
[tex]\\ \tt\Rrightarrow Domain\in R[/tex]
Help me with this!!! PLEASEEEEEEEEEEEEEEEEEEEE…………
3y=6
Find the slope of the line described by each equation
2. Solve for x.
28
2x + 8
82
5x - 4
Solution of Problem 1:
2x + 8 = 28=> 2x = 28 - 8=> 2x = 20=> x = 10Solution of Problem 2:
82 = 5x - 4=> 82 + 4 = 5x=> 86 = 5x => x = 86/5=> x = 17.2Therefore:
Answer of Problem 1: x = 10Answer of Problem 2: x = 17.2Hoped this helped.
[tex]BrainiacUser1357[/tex]
Could someone answers these! I Really NEED HELP
Answer:
(3x + 5) (x - 3)
Step-by-step explanation:
This is the quadratic expression
GIVING BRAINLIEST
What is the solution to the system of linear equations graphed below?
Answer:
The first option so [tex](3\frac{1}{2}, -4)[/tex] is the answer
Skills required: Graphing Knowledge, Systems Knowledge
Step-by-step explanation:
1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.
2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.
Therefore, the coordinate point is: [tex](3\frac{1}{2}, -4)[/tex] since this answer best matches the coordinate values of that point.
==================================================================
Select the first option, have a nice day! :D
Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true
Answer:
a = 3
Step-by-step explanation:
Since x = 7 is a solution, substitute x = 7 into the equation and solve for a
4(7) - 2(7 + a) = 8 , that is
28 - 2(7 + a) = 8 ( subtract 28 from both sides )
- 2(7 + a) = - 20 ( divide both sides by - 2 )
7 + a = 10 ( subtract 7 from both sides )
a = 3
2x − 4y = -4 , 3x + 2y = 22 solve the system by elimination.
Answer: 5, 7/2
Step-by-step explanation:
2x − 4y = -4
3x + 2y = 22
divide both sides of the equation by 2
x − 2y = -2
3x + 2y = 22
Eliminate one variable by adding the equation; sum the equations vertically to eliminate at least one variable
4x=20
Divides both sides by 4
x=5
Substitute the given value of x into the equation 2x-4y = -4
2*5-4y =-4
solve the equation for y
y=7/2
f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)
f(3)=f(3)=f, left parenthesis, 3, right parenthesis, equals
HURRY!!!!
the value of function at n = 3 is f( 3 ) is - 10.
To find the value of f( 3 ), we can use the given recursive formula:
f(n) = f( n - 2 ) + f( n - 1 )
We already have the values of f(1) and f(2):
f(1) = - 6
f(2) = - 4
Now, let's apply the recursive formula to find f(3):
f(3) = f( 3 - 2 ) + f( 3 - 1 )
f(3) = f(1) + f(2)
f(3) = - 6 + (- 4)
f(3) = - 10
So, the value of f(3) is - 10.
Learn more about recursive formula here
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13. If r + 9 = 42, does r +9-9=42 +9?
Why or why not?
Answer:
no
Step-by-step explanation:
if u subtract negative nine from one side of the equation, in order to keep both sides of the equation equal, you must subtract 9 from the other side. moreover, if you subtract nine from one side and add 9 to the other, there will be a 9+9=18 difference in values of both sides
brainliest pls thanks
Work out the area of a rectangle with base, b = 32mm and perimeter, P = 82mm.
Hey there! I attached a pic of how to solve this. Hope it helps!
Solve: 2sec(x) 5 = 9 Which equation is equivalent to the given equation?.
Answer
9=5 equivalent
Step-by-step explanation:
Answer:
A. cos(x) = 1/2
Step-by-step explanation:
2sec(x) = 9-5 = 4
sec(x) = 4/2 = 2
1/cos(x) = 2
cos(x) = 1/2
Help I’ll give brainliest
Answer:
Is it 95 If it is give me brainliess
Step-by-step explanation:
Carson rides his bike for 30 mins each day he rides a total of 12 miles every 3 days how many days will it take to ride a total of 80 miles
Answer:
20 days
Step-by-step explanation:
If he rides 12 miles every 3 days, then he rides 4 miles in one day. Divide 80 / 4 and you get 20 days.
(ANSWER QUICK!!!) Put the following values in order from least
to greatest.
20, 2-2, (-2)2, -22
Answer:
-22,(-2)2,2-2,20
Step-by-step explanation:
(-2)2=-4
2-2=0
-22,-4,0,20
Answer:
-22,(-2)2,2-2,-20
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
y = 5/4x
Step-by-step explanation:
To find the equation of the line, we'll have to find the slope only, since we already know that the equation is proportional and therefore has no y-intercept that we need to worry about.
So, to begin, we'll have to make a slope triangle using two of the points on the line - the points I chose are (0, 0) and (4, 5). Then, I drew a slope triangle - the change in y was 5, and the change in x was 4. To find the slope, we divide the change in y by the change in x, giving us a slope of 5/4. Because of this, our equation must be y = 5/4x.
Hopefully this is helpful! You can refer to the picture I attached if you would like to see how my slope triangle looks. :)
Answer:
Step-by-step explanation:
y = 15
x = 12
The y intercept is zero so the slope is simply
m = y /x
m = 15/12
m = 5/4
The equation is
y = 5/4
2
What is the slope of the line
The sum of two numbers is 25. One number is twice the seond number plus seven.
What are the two numbers?
7+32−42÷2 what is it i need help pleaseee
Answer:
[tex]7+32-42\div 2 = 39 - 21 = 18[/tex]
Step-by-step explanation: