May I please get your help with this equation

The speed of the raft if the speed of the motorboat in still water is 3 km/h

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Let the speed of the raft (current) - r

Speed of motorboat - 12 km/h

The distance between villages - is 44 km

Let the time spent by Aniskin  - t

The time the thief was in travel = 2 hr 40 min + t = 2 40/60 + t = 3/8 + t

The distance the thief traveled = 44 - 27 = 17 km

We have the following equations:

r(8/3 + t) = 17

(12 - r)t = 27

Simplify the equations:

r(8/3 + t) = 17 ⇒ rt + 8/3r = 17

(12 - r)t = 27 ⇒ 12t - rt = 27

Add up the equations and solve for r:

rt + 8/3r + 12t - rt = 44

8/3r + 12t = 44

r = 16.5 - 4.5t

Substitute r into the second equation:

(12 - 16.5 + 4.5t)t = 27

4.5t² - 4.5t = 27

9t² - 9t - 54 = 0

Solving we get

t = 3 h

Find r:

r = 16.5 - 4.5*3 = 3 km/h

Therefore the speed of the raft if the speed of the motorboat in still water is 3 km/h

To know more about Speed follow

https://brainly.com/question/6504879

#SPJ1

Answer:  

Area: 153.86

Circumference: 43.96

Answer:

Hypatia was the first female mathmatican

Answer:

Hypatia, (born c. 355 ce—died March 415, Alexandria), mathematician, astronomer, and philosopher who lived in a very turbulent era in Alexandria's history. She is the earliest female mathematician of whose life and work reasonably detailed knowledge exists.

Step-by-step explanation:

Answer:

“How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages.

Answer:

every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false

The room, the tables and the guests are illustrations of rectangles and areas.

This is calculated using:

Tables = Guest ÷ Guest per top table

So, we have:

Tables = 120 ÷ 12

Evaluate

Tables = 10

Hence, 10 tables are required for the top table

This is calculated using:

Covers = Number of spring ÷ Cover space

So, we have:

Covers = 3 ÷ 0.6

Evaluate

Covers = 5

Hence, 5 covers are required for each spring

This is calculated using:

Tables = Tables for top table ÷ Spring

So, we have:

Tables = 10 ÷ 3

Evaluate

Tables = 3.33

Remove decimal

Tables = 3

Hence, 3 tables are required for each spring

This is done to allow passage for walkway

Read more about areas at:

https://brainly.com/question/24487155

#SPJ2

A radius extends from the center of the circle to the edge.

If J is the center of the circle, then possible radii are JK, JL, JM, and JN.

Of those options, JN is the only one listed as an answer choice.

Answer: Third option, JN

Hope this helps!

Answer:

m = 2

Step-by-step explanation:

Write the slope formula

Substitute: m = - 13 - 11/ - 9 - 3

Calculate the sum or difference: m = -24 / - 9 - 3

Calculate the sum or difference: m = -24 /-12

Reduce the fraction: m = 2

Answer: m = 2

Answer: m = 2

Step-by-step explanation:

Slope formula = [tex]\frac{y2-y1}{x2-x1}[/tex]

plug in values

[tex]\frac{-13-11}{-9-3}[/tex]

simplify

[tex]\frac{-24}{-12}[/tex]=2

⇒M = 2

Answer: Subtract

Step-by-step explanation: Subtract 237 from 224.

Answer:

74. 25

Step-by-step explanation:

   After dropping the 224 you're going to subtract it from 237 which equals 13. With that said, you're going to bring down the 6. From there, it would be 136 divided by 32 which is 4.25. So you're answer is 74 with a remainder of 25.

The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of outcomes = 9×8  = 72

(because the total number of digits excluding 0)

Event A: choosing 8 as the first digit

Event B: choosing a number less than 6 as the second digit

Total favourable outcomes = 1×5 = 5

Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}

Probability = 5/72

Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:

The answer is B I'm pretty sure.

Step-by-step explanation:

Time4Learning 2022 quiz

Answer:

Median = 19

IQR = 11

Third quartile = 25

Step-by-step explanation:

Just caculate it...

a. To solve for the greatest common factor (GCF), we can determine the prime factors of 6, which is 2 and 3. Then for the other number, we can do the exact same thing. The prime factors of 8 are 1, 2, and 4. When matching the all the prime factors together, we notice that 2 is in both the prime factors.

This means that the GCF of 6 and 8 is 2.

b. To factor the GCF of 6 and 8, we can use the prime factors of both 6 and 8. That means:

6 + 8 = 2 × (3 + 4).

14 = 14

Step-by-step explanation:

Let's simplify step-by-step.

(6)(6)x−60x+900

=36x+−60x+900

Combine Like Terms:

=36x+−60x+900

=(36x+−60x)+(900)

=−24x+900

Answer:

=−24x+900

Answer:

Step-by-step explanation:

The formula to calculate the area of a circle is

[tex]A =\pi r^2[/tex]

This means that if [tex]r = 5 "cm"[/tex], the area is

[tex]A = 5^2\pi " cm"^2 = 25 \pi " cm"^2 =(estimation) 78.539816 " cm"^2[/tex]

Answer:

See below

Step-by-step explanation:

We are given that a circle has a radius of 5 cm

We want to find the area of this circle

The area of a circle is given as [tex]\pi r^{2}[/tex], where r is the radius

As stated above, the radius of this circle is 5; ergo, r =5

We can substitute 5 as r in the formula

A = [tex]\pi r^{2}[/tex]

A = [tex]\pi (5)^{2}[/tex]

Raise 5 to the 2nd power

A = π * 25

A = 25π cm²

If you need your answer in terms of pi (or as an exact answer), the answer would be 25π cm² (don't forget your units!)

However, if your system wants pi approximated, see below:

If your system wants pi to be used as 3.14, then multiply 25 by 3.14; 25 * 3.14 = 78.5 cm²

If your system wants pi to be used as 22/7, then multiply 25 by 22/7; 25 * 22/7 ≈ 78.57 cm²

Answer: -1/3

Step-by-step explanation:

The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.

Answer:

3:2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume

V = w h l

V = 2*15*13

V = 390 ft^3

-------------------------

Surface area

SA = b*h

SA = 15*13

SA = 195

-------------------------

b) Surface area

C) Volume

Answer:

y = -3x - 1

Step-by-step explanation:

The slope intercepts the y-axis at -1, and moves down 3 on the y for every one space right on the x-axis

Answer:

Hey!

Your Answer Would Be Option E!

Infinitely Many.

This Is Because:

Each and every one of the four angles/rectangles measures is 90°. Therefore, the number of rectangles that can be constructed using this condition is infinite!

Step-by-step explanation:

The true statement is there is no correlation between age and length of stay.

Correlation is a statistical measure used to measure the relationship that exists between two variables. For example, if the older a child is, the longer he would stay at the pool. it can be said that there is a positive correlation.

To learn more about correlation, please check: https://brainly.com/question/27246345

#SPJ1

Answer:

you would need 11 containers but you would have some left over.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

78 ft^2

Step-by-step explanation:

14x8 - (3x6) + (4×4)

112 - (18+16)

= 78ft^2

Answer:

611

Step-by-step explanation:

[tex]\frac{24 customers}{64 staff} = \frac{229 customers}{? staff}[/tex]

Solve for ? by cross multiplying and isolating ?staff.

You will get (64 x 229) / 24

Your answer will be ~ 611.

a. The area of the rectangle: 16 units²

b. The area of the triangle on the left: 6 units²

c. Area of the triangle on the right: 10 units²

d. Area of the figure: 32 units²

a. l = 4 units

w = 4 units

Area of the rectangle = (4)(4) = 16 units²

b. b = 3 units

h = 4 units

Area of the triangle on the left = 1/2(3)(4) = 6 units²

c. b = 5 units

h = 4 units

Area of the triangle on the right = 1/2(5)(4) = 10 units²

d. Area of the figure = 16 + 6 + 10 = 32 units²

Learn more about the area of a rectangle and a triangle on:

https://brainly.com/question/446826

#SPJ1

Answer:

a: 16

b: 6

c:10

d: 32

Step-by-step explanation:

explained already <3

Answer:

+ 1.

Step-by-step explanation:

That would be (-2/2)^2

= + 1.

x2 - 2x + 1 = (x - 1)(x - 1)

[tex]\text{If a quadratic expression is a perfect square, then}\\\\~~~~~~~\text{Discriminant = 0}\\\\\implies b^2 -4ac = 0\\\\\implies (-2)^2 -4 c = 0\\\\\implies 4-4c = 0\\\\\implies 4c = 4\\\\\implies c = 1 \\\\\text{Hence, the last term should be 1.}\\\\x^2 -2x +1 = (x-1)^2[/tex]

Answer:

-1

Step-by-step explanation:

The answer of this question is -1