Answer:
3 km/h
Step-by-step explanation:
You want to know the speed of the river current if floating 36 km downstream takes 9 h longer than the trip upstream in a boat with a speed relative to the current of 15 km/h.
TimeThe relation between time, speed, and distance is ...
time = distance / speed
If c represents the speed of the current, then 15-c is the speed upstream. The relation between the travel times is ...
36/(15 -c) = 36/c -9
SolutionMultiplying by c(15-c), we have ...
36c = 36(15 -c) -9(c)(15-c) . . . . . . . multiply by c(15-c)
36c = 540 -36c -135c +9c² . . . . . eliminate parentheses
9c² -207c +540 = 0 . . . . . . . collect terms
c² -23c +60 = 0 . . . . . . . . divide by 9
(c -20)(c -3) = 0 . . . . values that make the factors zero are c=20, c=3
The speed of the current is 3 km/h.
__
Additional comment
The speed of the current cannot be greater than 15 km/h, or the boat could not go upstream. The speed of the current cannot be greater than 4 km/h, or the trip downstream would take less than 9 hours.
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I really need help to understand this problem for my end of course exam!!!!
Answer:
D. [tex]13(2.81)^n[/tex]
Step-by-step explanation:
[tex]13(1.09)^{12n} < ==exponents\ first\(PEMDAS)\\\\13(2.8126)^n < ==approximate\\\\13(2.81)^n[/tex]
Hope this helps!
Triangle ABC is graphed. (image included)
1) Transform triangle ABC using the rule (x,y) → (-x,y)
2) Describe the transformation precisely.
Answer:
see attachedthe figure is reflected in the y-axisStep-by-step explanation:
1.The given transformation moves each point horizontally to the same distance on the other side of the y-axis. This is shown in the attachment.
__
2.The given rule ...
(x, y) → (-x, y)
is the most precise description of the transformation. In English, it can be described as a reflection in the y-axis.
Polygon ABCD has the following vertices a (-3,3), B(5,5), C (5, -4) and D (-3, -4) calculate the area of the polygon.
Answer:
64 units squared
Step-by-step explanation:
If you put the points on a graph you can see the shape is a trapezoid. The left and right sides are the bases, the bottom is the height. The area formula is to average the bases and times by the height. see image. You could do a lot of distance formula and slope calculations, but on the graph you can count the squares to find side lengths.
If 8 parts take 20 minutes to make, how many minutes does it take to make 6 parts?
Answer: 15 mins
Step-by-step explanation:
20 ÷ 8 = 2.5 (how many Mins 1 part takes)
2.5 x 6 = 15
It will take 15 minutes does it take to make 6 parts.
What is the unitary method?The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
If 8 parts take 20 minutes to make then 1 part take x time which is equal to;
[tex]\rm x=\dfrac{20}{8}\\\\x= 2.5 \rm \ minute[/tex]
One part takes 2.5 minutes.
The minutes does it take to make 6 parts are;
[tex]= 6 \times 2.5\\\\=15[/tex]
Hence, it will take 15 minutes does it take to make 6 parts.
To know more about the unitary method click the link given below.
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m exponent 2 plus 15 if m =4
Answer:
31
Step-by-step explanation:
[tex]4^{2}[/tex]=16
16+15=31
I’m stuck, HELP
3(6) + 4(2)^3 - 5
Answer:
45
Step-by-step explanation:
Lets split the problem then add/subtract at the end
3 x 6 = 18
Due to Order of operations we do 2^3 first then multipy by 4
so 2^3 = 8 Then we do 8 x 4 = 32
Now we add/subtract
18 + 32 - 5 = 45
45 is the answer
Answer:
45
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtration
[tex]3(6) + 4(2)^3 - 5 < ==multiply\ the\ exponents\ first\\\\18+4(8)-5 < ==multiply\ first\\\\18+32-5 < ==addition\ before\ subtraction\\\\50-5 < == subtract\\\\45 < == final\ answer[/tex]
Hope this helps!
Find the mean of the following data set: 20, 22, 24, 25, 29, 30, 32, 36
Answer:
27.25
Step-by-step explanation:
we find the mean by adding all the values and dividing by the number of values.
answet please and please show work
Answer:
4, 3, 4
Step-by-step explanation:
The unsimplified ratio of squares to triangles is 6:8, which simplifies to 3:4. That means, for every 3 squares, there are 4 triangles
As stated above, the simplified ratio of squares to triangles is 3:4
2/3 x 12 write in simplest form.
2/3 ×12
= 2/1 × 4
= 2× 4
=8
........
Question 9 of 12
What is cos 60°?
A. 13
B. 1
C.
2
D.
2.
E.
NS-
F. V
Answer:
D
Step-by-step explanation:
You can find the answer by memorizing the values of the unit circle.
32 divided by 10-8 divided by 2-3
Answer:
-3.8Step-by-step explanation:
32÷10-8÷2-332÷10-4-33.2-4-33.2-7-7.0-3.2-3.8answerThe expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
To solve the expression "32 divided by 10-8 divided by 2-3," we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
32 divided by 10 equals 3.2.
Next, perform the second division which is 8 divided by 2 which equals 4.
Subtract the result of the second division (4) from the first division result (3.2): 3.2 - 4
= -0.8.
Finally, subtract 3 from the -0.8.
-0.8 - 3
= -3.8.
Therefore, the expression "32 divided by 10-8 divided by 2-3" evaluates to -3.8.
To learn more on Expressions click:
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What is 8 * 8?
8*8 =
A. 64
B. 24
C. 91
D. 8
Answer: A. 64
Step-by-step explanation:
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 64
According to einstein, nothing in the universe can move faster than which approximate speed? 1.0 × 107 m/s 1.0 × 108 m/s 3.0 × 108 m/s 3.0 × 109 m/s
The speed of light is 3.0 ×108m/s.
We have ask about the theory of Albert Einstein,
According to einstein, nothing in the universe can move faster than light
What is the speed of the light?
Albert Einstein said that nothing travels faster than the speed of light, and the speed of light is
[tex]3.0\times108 m/s[/tex]
So that the nothing can travels faster than the speed of light.
light travels with very high speed.
Therefore we get the correct option is 3.
That is the speed of light is 3.0 ×108m/s.
To learn more about the speed of light visit:
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What is the value of x in the figure?
Enter your answer in the box.
x =
Answer:
68 degrees
Step-by-step explanation:
The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.
A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68
Two different ways, either will work
Hope this helps!
Angles are complementary
x+22=90x=90-22x=68x is 68°
can someone send the answer that on the picture and show your work
Answer:
k = 52
Step-by-step explanation:
- 8 = [tex]\frac{k-4}{-6}[/tex] ( multiply both sides by - 6 to clear the fraction )
48 = k - 4 ( add 4 to both sides )
52 = k
Answer: k=52
Step-by-step explanation:
-8= k-4/-6
multiply by -6
48=k-4
add 4 to both sides
k=52 :)
The point (6, - 5) is reflected across the y axis what is the new point
Answer:
(-6, -5)
Step-by-step explanation:
Reflection across the y-axis leaves the point on the same horizontal line, but with the sign of its x-coordinate changed.
(x, y) ⇒ (-x, y) . . . . . reflection across the y-axis
(6, -5) ⇒ (-6, -5)
The image point is (-6, -5).
please help
The table below shows the number of hours that a
scientist has been observing bacteria in a petri dish
Answer:
In the beginning there were 20 bacterias in the petri dish.
For each of the figures, write an absoulute value equation that has the following solution set.
The solution set -18 and 0 are the true values of the absolute value equation
The absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9
How to determine the absolute value equation?From the figure, the solution sets of the absolute value equation are given as:
x = {-18, 0}
Calculate the mean of the solution set
Mean = 0.5 * (-18 + 0)
Mean = -9
Calculate the difference of the solution set divided by 2
Difference = (0 + 18)/2
Difference = 9
The absolute value equation is the represented as:
|x - Mean| = Difference
Substitute known values
|x + 9| = 9
Hence, the absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9
Read more about absolute value equation at:
brainly.com/question/2166748
Answer:
|x+9|=9
Step-by-step explanation:
Brainlest if u get it right
Answer:
A. would be best I'm pretty sure
Step-by-step explanation:
Answer: A.
Step-by-step explanation: With this option, everyone in that middle school is involved, and not just eighth-graders, math club students, or detention students. Option A is a unbiased sample, therefore, that's your answer.
Hope this helps! :)
Asia has a jar of marbles. She randomly selects a marble from the jar, records its color, and returns it to the jar. She repeats this 74 times. Her results are shown in the table. A frequency table shows each outcome and its frequency. Red, thirteen times. Blue, twenty times. Green, twenty-two times. Yellow, nineteen times. What is the experimental probability of Asia choosing a green marble?
Answer:Experimental probability = 0.297
Step-by-step explanation: experimental probability = number of times event occurs/total number of trials
Probability = 22 divided by 74 = 0.297
Therefore the experimental probability of choosing green marble is 0.297.
Fisher Auto Parts is running a 45% clearance sale on batteries. One battery cost $149.99. If the consumer purchases 2 batteries. What would be the final cost?
Sales tax is 5%.
Answer:
$204.74
Step-by-step explanation:
At 45% off each battery, the price for 1 battery would be (149.99)*(0.65) = $94.50. Two batteries would be a total of $194.99.
Add 5% tax:
($194.99)(1.05) = $204.74
Pls help ill give 15 brainliest and 5 starts question is down below
Answer:
Area of right angle triangle is axb/2
3x4/2 = 6 sq. Cm
Area of parallelogram = bxh
20x21.5 = 430 in2
Answer:
Area of the triangle: 6 cm
Area of the parallelogram: 430 in²
Step-by-step explanation:
Area of a triangle formula is base * height * 1/2, in this case 4 * 3 * 1/2, which equals 6.
Area of a parallelogram formula is base * height, in this case 21.5 * 20 which equals 430.
Help pleazeeeeee! I need this as soon as possible
Andrea Spent a total of $.43.87 on now clothes at a department store bought one pair of Sandals for $8. One T-shirt for 9.49 and two Jeans The tax on the purchase was $2.88 How much did Andrea pay for one pair of jeans, if each pair costs the same amount.
Answer:
$11.75
Step-by-step explanation:
We need to first subtract to find our answer :)
43.87 - (8 + 9.49 + 2.88)
43.87 - 20.37
23.50
Now we divide :)
23.50/2 = 11.75
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Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Z=
Please help with angle addition
Multicultural Studies!
HELP PLEASE
Gisela didn't say anything when her friend made a joke about the texture of
Black people's hair. What is Gisela showing?
O A. Assertive behavior toward racism
B. Institutional racism
C. Passive acceptance of racism
D. Intolerance toward racism
Answer:
It is Passive acceptance of racism, There was no reason why she needed to say black people unless she wanted to downplay them. She is being racist because she saying that only black people have this type of texture. If her friend made a joke like this then she would do worse jokes like calling black people monkeys (aka N's that the definition of the N-word monkey).
If two men walk in opposite directions for 8 meters then turn left and walk six meters how far apart are they
Answer:
20 meters
Step-by-step explanation:
Solve this problem please and thank you.
Answer:
B
Step-by-step explanation:
The given expressions can be compared by putting each in standard form.
A. -8 -7n +16n = (-7+16)n -8 = 9n -8
B. 9(n -8) = 9n -72 . . . . different from the others
C. n -8 +8n = (1 +8)n -8 = 9n -8
D. 9n -8
_____
The standard form of a polynomial expression has the variable terms in decreasing order by degree
Two angles are supplementary angles.
One angle measures 58°. The other angle
measures (3n + 5)º What is the value of n?
A.) 9
B.) 32
C.) 39
D.) 122
a is the answer because it makes sense and it's very logical