Answer:
The rate (or speed) of the wind is 40 meters per minute.
Step-by-step explanation:
Let's define:
S = speed (or rate) of the duck alone
S' = speed (or rate) of the wind.
When the duck travels with the wind, its speed is:
(S + S')
While when the duck travels against the wind, its speed is:
(S - S')
Also, remember the relation:
Distance = Speed*Time
ok, we know that the duck can travel a distance of 2400 m in 10 minutes with the wind, then:
2400m = (S + S')*10 min
And against the wind, it can travel 2/3 of that distance, then we can write:
(2/3)*2400m = (S - S')*10 min
Then we have a system of 2 equations:
2400m = (S + S')*10 min
(2/3)*2400m = (S - S')*10 min
We want to find the speed of the wind, then we want to find the value of S'.
To solve this, we first need to isolate S in one of the equations.
Let's isolate S in the first one:
2400m = (S + S')*10 min
2400m/10min = (S + S')
240 m/min = S + S'
240 m/min - S' = S
Now we can replace this in the other equation:
(2/3)*2400m = (S - S')*10 min
(2/3)*2400m = ( 240 m/min - S' - S')*10 min
Now let's solve this for S'
(2/3)*2400m/10min = 240 m/min - 2*S'
(2/3)*240 m/min = 240 m/min - 2*S'
2*S' = 240 m/min - (2/3)*240 m/min
2*S' = (1/3)*240 m/min
2*S' = 80 m/min
S' = (80 m/min)/2
S' = 40 m/min
The rate (or speed) of the wind is 40 meters per minute.
Stella is saving up to buy a new video game. She already has $15 and can save an additional $8 per week using money from her after school job. How much total money would Stella have after 8 weeks of saving? Also, write an expression that represents the amount of money Stella would have saved in w weeks .
Answer:
Part A;
$79
Part B;
The amount Stella would have saved in 'w' weeks = 15 + 8·w
Step-by-step explanation:
Part A
The amount of money Stella already has = $15
The amount she can save per week = $8
The total amount of money, 'A', Stella would have after 8 weeks is given as follows;
A = The amount Stella already has + The amount she can save per week × The number of weeks of savings
Therefore;
A = 15 + 8 × 8 = 79
The amount Stella would have after 8 weeks, A = $79
Part B
The expression that represents the amount of money Stella would have saved in w weeks is given as follows;
A = The initial amount Stella has + The amount she can save per week × w (number of weeks)
∴ A = 15 + 8·w.
A deck of cards is made up of 4 suits: clubs, diamonds, hearts, and spades.
Each suit has 13 cards with
this range: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A.
If you are trying to calculate the probability of getting an even number when
picking one card from a normal deck, what is the size
of the sample space?
O A. 52
B. 5
C. 13
D. 26
Answer:
i think the answer is c cuz theres 36 number cards
1. Find the sum of the measures of the interior angles of a convex hexagon.
a. 900°
b. 1080°
c. 720°
d. 1440°
Answer:
could you include a pic please?
TIME REMAINING
55:06
A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines will be utilized.
The population of City A, in Texas, is 29,455 and covers an area of 19.42 mi2.
The population of City B, in Alabama, is 34,890 and covers an area of 25.4 mi2.
Which city’s residents are more likely to use public buses? Explain.
The residents of City B are more likely to use public transportation because the city has the lowest population density.
The residents of City B are more likely to use public transportation because the city has the highest population density.
The residents of City A are more likely to use public transportation because the city has the lowest population density.
The residents of City A are more likely to use public transportation because the city has the highest population density.
Answer:
d
Step-by-step explanation:
i just took the test
The residents of City A are more likely to use public transportation because the city has the highest population density. Therefore, the correct option is A.
What is Population density?Population density is the amount of people living in a specific area. In this example, City A has 29,455 residents in an area of 19.42 square miles, while City B has 34,890 residents in an area of 25.4 square miles.
Due to the large number of people living in the small space, the population density is high in City A. Greater demand for public transport services, such buses, is often brought about by higher population density as residents find these services more practical and cost effective to use for commuting and travel. As a result of their increased population density, people in City A are more inclined to use public transport.
Therefore, the correct option is A.
Learn more about population density, here:
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what is advertising used for? check all that apply
Find the area of the sector in
terms of pi.
12
210°
Area
=
[?]
T
Answer:
84pi
Step-by-step explanation:
Sector Area = (pi x r^2 x *angle*)/ 360
(pi x 12^2 x 210)/ 360
= 84pi
= 263.893
Find the value of x that makes A || B.
A
N
B
5
5
22 = 3x – 10 and 23 = x + 30
x= [?]
I
Enter
Answer:
9
Step-by-step explanation:
American Airlines sold a certain number of tickets from Los Angeles to the bay island in Honduras. They charged $120 for flight x and the remaining tickets for $280 for flight y. If the airline sold 59 tickets and collected a total of $12,520 from the sale of those tickets. A) how many tickets of each flight were sold. B) how much money was made from each flight?
Answer:
y =34
x = 25
Money made from flight x = 3000
Money made from flight y = 9520
Step-by-step explanation:
Tickets sold
59= x+y
Amount of money
120x + 280y = 12520
Using substitution
x = 59-y
120( 59-y) + 280y = 12520
7080 - 120y +280y = 12520
Combine like terms
160y +7080 = 12520
Subtract 7080
160y = 12520-7080
160y =5440
Divide by 160
160y/160 = 5440/160
y =34
Now find x x = 59-y = 59-34 =25
x = 25
Money made from flight x =
120*x = 120*25 =3000
Money made from flight y =
280*y= 280*34=9520
The composition D
0.
(x, y) is applied
0
3(x,°D
to ARST to create the image of AR'S'T", which is not
shown.
Answer:
S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )
Step-by-step explanation:
coordinate of x is (-2 , 6)
scale factor to transform the triangle is 3/2
so to find S' use this scale factor
formula :
(x , y) = (kx , ky) (k means scale factor)
S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)
S'(-3 , 9)
now to find S'' again use the same formula
(x , y ) = (kx , ky)
this time take S' and to find S'' use 1/2 as scale factor
S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)
S''(-3/2 , 9/2)
The transformation is S'' = (-3/2, 9/2). The correct option is A.
Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.
The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.
The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.
formula :
(x , y) = (kx, ky) (k means scale factor)
S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)
S'(-3 , 9)
Now to find S'' again use the same formula:
(x , y ) = (kx, ky)
this time take S' and to find S'' use 1/2 as the scale factor.
S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)
S''(-3/2 , 9/2)
To know more about scale factors follow
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The two triangles are similar.
What is the value of x?
Enter your answer in the box HELP PLS
The Above triangles are similar, Therefore the corresponding sides would be proportional.
that is : -
[tex] \dfrac{16}{12} = \dfrac{6x}{5x - 2} [/tex][tex]16 \times (5x - 2) = 12 \times 6x[/tex][tex]80x - 32 = 72x[/tex][tex]80x - 72x = 32[/tex][tex]8x = 32[/tex][tex]x = 32 \div 8[/tex][tex]x = 4[/tex][tex]\mathfrak{best \: \: of \: \: luck \: \: for \: \: your \: \: assignment}[/tex]
It's urgent i need help someone help me!
Answer:
x=50, y=20
Step-by-step explanation:
50-20=30, 50+20=70
QUICK I NEED HELP! I WILL MARK BRAINLIEST!
Answer:
Mean=7.7
Median=7
Mode=10 and 6
Range=7
Answer:
Mean = 7.7
Median = 7
Mode = 6 and 10
Step-by-step explanation:
Arrange the data in ascending order :
4 , 6 , 6 , 7 , 10 , 10 , 11
Mean is the sum of the data by number of data.
[tex]Mean = \frac{ 4 + 6 + 6 + 7 + 10 + 10+ 11}{7} = \frac{54}{7} = 7 . 7[/tex]
Median is the middle number.
[tex]Median = \ 7[/tex]
Mode most frequent value in the data
[tex]Mode = \ 6 \ and \ 10[/tex]
What is the value of the 9 in the number 0.09432
Answer:
hundredths
Step-by-step explanation:
Numbers after the decimal start with
tenth
hundredth
which numbers are the extremes of the proportion shown below [tex]\frac{4}{7} =\frac{20}{35}[/tex]
9514 1404 393
Answer:
4 and 35
Step-by-step explanation:
Written as 4/7 = 20/35, the extremes are the outside numbers: 4 and 35.
6x - 5y= 70
7x + 2y=66
I need a answer in words step by step please help!!
Answer:
x = 10
y = -2
Step-by-step explanation:
Elimination method:
6x - 5y = 70 -----------------(I)
7x + 2y = 66 -----------------(II)
Multiply equation (I) by 2 and equation (II) by 5 and add. So, y will be eliminated and you can now find the value of x
(I)*2 12x - 10y = 140
(II)*5 35x + 10y = 330 {Now add}
47x = 470
x = 470/47
x = 10
Plugin x = 10 in equation (II)
7*10 + 2y = 66
70 + 2y = 66
Subtract 70 from both sides
2y = 66 - 70
2y = -4
Divide both sides by 2
y = -4/2
y = - 2
These prisms are similar. Find the volume
of the larger prism in decimal form.
5 m
7 m
Volume = 50 m3
Volume = [ ? ] m3
PLEASE HELP IM OVERDUE
Answer:
98 m³
Step-by-step explanation:
For similar shapes
The ratio of the cube of the corresponding length of similar shapes is equal to the ratio of their volume.
Applying,
L³/L'³ = V/V'............... Equation 1
Where, L = Length of the smaller prism, L' = Length of the larger prism, V = Volume of the smaller prism, V' = Volume of the larger prism
From the question,
Given: L = 5 m, L' = 7 m, V = 50 m³
Substitute these values into equation 1
5²/7² = 50/V'
25/49 = 50/V'
V' = (50×49)/25
V' = 98 m³
Answer: 137.2
Step-by-step explanation:
I'm just making the correct answer an actual answer instead of a comment so it's easier to see
What is the output of y=23x−4 when the input is 18?
Enter your answer as a number, like this: 42
Answer:
410
Step-by-step explanation:
Inputs are x's
Substitute the 18 where you see the x
y = 23(18) - 4
y= 414 - 4
y = 410
a radio cost 5400 discount of 121/2% what is the cash price
Answer:
2133$
Step-by-step explanation:
5400-(5400$ *60.5/100)
Math doesn't suit me; I have to cooperate with it.
Answer:
200 vs 230
$30
Step-by-step explanation:
if 24= 2f+3f+f, find f
Answer:
6f = 24
f = 4
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\textsf{24= 2f + 3f + f}\\\text{COMBINE the LIKE TERMS}\\\\\textsf{2f + 3f + f}\\\textsf{2f + 3f = \bf 5f}\\\textsf{5f + f}\\\textsf{= \bf 6f}\\\text{New equation: \textsf{6f = 24}}\\\text{DIVIDE 6 to BOTH SIDES}\\\mathsf{\dfrac{6f}{6}=\dfrac{24}{6}}\\\textsf{CANCEL out: }\mathsf{\dfrac{6}{6}}\textsf{ because that gives you 1}\\\textsf{KEEP: }\mathsf{\dfrac{24}{6}}\textsf{ because that helps solve for the f-value}\\\\\mathsf{\dfrac{24}{6}=\bf f}\\\\\\\mathsf{\dfrac{24}{6}=24\div6=\bf 4}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf f = 4}}}\huge\checkmark[/tex]
~[tex]\large\textsf{Good luck on your assignment and your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What are the two possible measures of the angle below?
Answer:
90 or -270
Step-by-step explanation:
Which best describes the relationship between the line that passes through the points (2, 3) and (5, 8) and the line
that passes through the points (-7,5) and (-12, 8)?
a. neither perpendicular nor parallel
b. perpendicular
c. parallel
d. same line
Name the angle relationship between a and b
Answer:
∠a=∠b
Step-by-step explanation:
Alternate exterior angles are congruent
John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmothers house, but the he tired and walked the remaining 2 miles.If the total trip took 0.9 hours, then what was his average jogging speed?
Find the equation for the
following parabola.
Focus (0,5)
Directrix y = -5
A. y2 = 20%
B. X2 = 5y
C. X2 = 20
D. y2 = 5x
Answer:
C
Step-by-step explanation:
For any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
[tex]\sqrt{x^2+(y-5)^2}[/tex] = | y + 5 | ← square both sides
x² + (y - 5)² = (y + 5)² ← expand parenthesis on both sides
x² + y² - 10y + 25 = y² + 10y + 25 ( subtract y² - 10y + 25 from both sides )
x² = 20y
Hihi , please help if able.
Step-by-step explanation:
the lines on the graph of inequality second option
Fly the super spy is trying to unravel a secret 3 digit code. Fly knows that the first digit must be an even number, an the last must be an odd number. How many differnt combinatons of the threendigit code exist. ( Note; zeto is counted as an even number)
Answer:
250
Step-by-step explanation:
Given
[tex]n =3[/tex] --- digit code
[tex]First = Even[/tex]
[tex]Last=Odd[/tex]
Required
The different combination of codes
The set of even number is:
[tex]Even = \{0,2,4,6,8\}[/tex]
The set of odd is:
[tex]Odd = \{1,3,5,7,9\}[/tex]
This means that:
The first can be any of the 5 even digits
The last can be any of the 5 odd digits
Since there is no restriction in selection;
The [tex]second[/tex] can be [tex]any[/tex] of [tex]the[/tex] 10 digits
So, the possible combination (k) is:
[tex]k =5 * 10 * 5[/tex]
[tex]k =250[/tex]
Lines A and B are parallel
A
1
2
50° 4
B
5 6
8
mZ2 = [?]°
Put these numbers in order from greatest to least.
0.32,1/2,0.66, and 0.45
PLZZZ HELP NO LINKS What graph represents the piecewise-defined function?
Answer:
option alphabet c is the answer
