A motorboat with the current went 72 mi in 4 hours. Against the current, the motorboat could go
only 40 mi in the same amount of time. Find the rate of the motorboat in calm water.

Answers

Answer 1

Answer:

14 mph

Step-by-step explanation:

Speed of boat in calm water = x

Speed of current = y

Speed of boat with the current = 72 mi / 4 hr = 18 mph

Speed of boat against current = 40 mi / 4 hr = 10 mph

x + y = 18

x - y = 10

2x = 28

x = 14

Answer: 14 mph

Answer 2

Answer:

14 m/hr

Step-by-step explanation:

72 m / 4 hr = 18 m/hr

40 m / 4 hr = 10 m/hr

still water speed =  (18+ 10 )/2 = 14 m/hr

 current speed   (14 -x) 4 = 40

                       x = current speed = 4 m/hr


Related Questions

i do not know this answer

Answers

Answer:

9 millimeters is the answer.

Find the circumference of each circle. Use 3.14 or 22/7 for π. Round to the nearest tenth if necessary.

I'm going to keep asking because I have no clue how to solve these

Answers

Answer:

219.8 yd

Step-by-step explanation:

Circumference Formula= πd or 2πr

Plug in the values. The diameter of this circle is 70 yds.

70(3.14) (replace 3.14 for π)

70*3.14=219.8 yds

Hope this helps ^^

A trapezoid has an area of 151.2 square centimeters. One base is 8.8 cm long. The height measures 10.5 cm. What is the length of the other base?

Answers

Answer:

x=20

Step-by-step explanation:

(1/2)*10.5*(8.8+x)=151.2

8.8+x=151.2*2/10.5

8.8+x=28.8

x=28.8-8.8

x=20

Answer: 20 cm

Step-by-step explanation:

area of trapeziod = ( (base + base) / 2) x height

151.2 = ( (8.8 + base) / 2 ) x 10.5

14.4 = ( (8.8 + base) / 2)

14.4 x 2 = 8.8 + base

28.8 - 8.8 = base

base = 20 cm

Part A Find the distances between points P and Q and between points R and Q. Explain your answer. Refer to the number line in your interpretation. * *​

Answers

The points P, Q and R are collinear points on the number line

The distance PQ is 0.6The distance QR is 0.3

How to determine the distance between P and Q?

From the number line we have:

P = -0.6

Q = 0

The distance is calculated as:

PQ = Q - P

This gives

PQ = 0 - -0.6

Evaluate the difference

PQ = 0.6

Hence, the distance PQ is 0.6

How to determine the distance between R and Q?

From the number line we have:

R = 0.3

Q = 0

The distance is calculated as:

QR = R - Q

This gives

QR = 0.3 - 0

Evaluate the difference

QR = 0.3

Hence, the distance QR is 0.3

Read more about number lines at:

https://brainly.com/question/10851163

Answer:

The distance PQ is 0.6

The distance QR is 0.3

Can someone please help me solve this? or at least explain how I would go about solving this?​

Answers

Answer:

find the probaillity of each one.

Step-by-step explanation:

Mr. warren has a bag of nails assorted lengths. he asks his sons paul and tim to sort them by length. paul pours 3/4 of the bag of nails out and sorts them. he makes a chart showing the number of nails of each length.

later, Tim sorts the rest of the nails approximately how many 1-inch nails can tim expect to find in the rest of the nails? 100 pts

Answers

Answer:

Step-by-step explanation:

he has 1/4 remaining as he has only used 3/4

Help asap due in an hour

Answers

Answer:

7.    x-2y=-4      
     -x-y=-5


x-2x=-4
2x+2y=10

Step-by-step explanation:

sorry cant do the rest im sleeping now but use symbolab just add the equations there and easy good night

A. Determine the number of diagonals that can be drawn in each polygon.

1. Triangle
2. Pentagon
3. 15-sided polygon
4. 18-sided polygon​

Answers

Answer:

Here is your answer...

Step-by-step explanation:

1. Triangle = 0

2. Pentagon = 5

3. 15-sided polygon = 90

4. 18-sided polygon = 135

I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.

What is his rate of commission?______% ( Round to the nearest tenth of a percent)

Answers

Answer:

its 10.5

Step-by-step explanation:

If you divide what alex earned by his total sales, you get 10.5%.

Is FGH ~ JKL? If so, identify the similarity postulate or theorem that applies.

Answers

Answer:

It is similar by AA

Step-by-step explanation:

AA stands for angle-angle. In similar figures, angles are congruent, and the sides are proportional. the corresponding angles are the same. Hope this helps!

Which of the following addition problems yields a sum that is an irrational number? Select TWO that apply. (answers in picture)

Answers

Answer:

probably the answer to the following question is B and C I hove this helps because this numbers cannot be fraction only decimal

Hi please help me out I’m really struggling with geometry rn and I can’t afford to buy the tutor thing

Answers

Alright let's solve this problem step by step:

Question 1: Find the perimeterDefinition of Perimeter: basically all the side lengths added up

   The figure is made up triangles

      ⇒ however, we do not know the slanted line that goes from the tip to

           the edge of the base.

           ⇒ we can use the Pythagorean Theorem to help us

                 [tex]2^2 + (5.7)^2 = slanted-line^2\\slanted-line = 6.04[/tex]

   Perimeter = 6.04 + 6.04 + 6.04 + 6.04 + 6.04 + 4 + 4 + 4 + 4 + 4

                      = 50.2 inches

Question 2: Find the slant heightDefinition of Slant height: is the distance measured along a lateral face from the base to the tip along the "center" of the face.

         *look at image attached to better understand this definition

           ⇒ Slant height = 5.7inches

Question 3: Find the Lateral AreaDefinition of Lateral Area: area of the non-base faces only

   Lateral Area = 5 * (Area of Triangle Faces)    

                         = [tex]5 *(\frac{1}{2} *5.7 * 4) = 5*2*5.7 = 5 * 11.4[/tex]

                         = 57 in^2

Hope that helps!

An electronics store has determined that 45% of its customers buy a wide-screen television. describe the model that you could use to find the experimental probability that the next three television-buying customers will buy a wide-screen television

Answers

The model that you could use to find the probability is a binomial model with parameters n = 3, X = 3 and p = 0.45.

For each TV bought, there are only two possible outcomes, either it is wide screen, or it is not. The probability of a TV bought being wide screen is independent of any other TV, hence the binomial distribution is used to solve this question.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

In this problem:

45% of its customers buy a wide-screen television, hence p = 0.45.The experimental probability that the next three television-buying customers will buy a wide-screen television is P(X = 3) when n = 3.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

The problem is the screenshot

Answers

Answer: 0 5 10

Step-by-step explanation:

y = 5(0)

y = 0

y = 5(1)

y = 5

y = 5(2)

y = 10

Find the measure of the angles.
3
62
mZ1 =
mZ2 =

Answers

Answer:

Step-by-step explanation:

Maddy has a coupon for bananas. Bananas normally
cost $0.49 per pound. Maddy wants to buy 8
pounds of bananas for her team. She has a coupon
for 5 cents off per pound.
If she uses the coupon, how much will she pay?

Answers

Answer:

$3.52

There are two ways you can solve this problem.

1. Take 5 cents off before multiplying.

Since the coupon takes 5 cents off per pound, you can subtract 5 cents off 49 cents.

$0.49-$0.05= $0.44

Now multiply $0.44 by the 8 pounds.

$0.44 (8) = $3.52

2. Take the 5 cents off after multiplying

You can multiply the 5 cents by 8, to find the total money off the bananas. Then subtract that from the total cost.

$0.49 (8) = $3.92    -> Total cost with no coupon

$0.05 (8) = $0.40    -> Total money off

Subtract the two totals.

$3.92 - $0.40 = $3.52

Answer:

I believe the answer is 3.42.

Ursula is starting a new national network of science fiction book clubs. The establishment and expansion of the network is as follows. The original network began with eight people in each club and four clubs in each of two states. Every month, the number of people in each club increases by two and the number of clubs in each state grows by one. The number of states where the groups exist also increases by one every month. The total number of people in the network of book clubs is represented by the expression below, where x is the number of months since the clubs were established.

Answers

Using derivatives, it is found that the correct option is given by:

A. The expression 2x² + 20x + 32 represents the average rate of increase in the total number of clubs in the network across all states.

What is the meaning of the derivative of a function?

It is the rate of change of the function over a period of time.

In this problem, the total number of people in the book club after x months is given by:

f(x) = 2x³ + 20x² + 64x + 64

The derivative is given by:

f'(x) = 4x² + 40x + 64 = 2(2x² + 20x² + 32).

It represents the average rate of change across all states, hence option A is correct.

More can be learned about derivatives at https://brainly.com/question/2256078

#SPJ1

\frac{x^2+9x+14}{x^2+10x+16}
x
2
+10x+16
x
2
+9x+14

Answers

Answer:

(x+7)(x+2)

(x+2)(x+8)

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

How do i Write (3x^3)^2 WITHOUT exponents

Answers

Answer:

(3x³)² = 9x⁶ = 3 × 3 × x × x × x × x × x × x

Thus, The answer is

3 × 3 × x × x × x × x × x × x

Answer:

3 * 3 * y * y * y * y * y * y

Step-by-step explanation:

(3y³)²

Multiply 3 by 3 and y six times

3 * 3 = 9

y * y * y * y * y * y

The answer should be

3 * 3 * y * y * y * y * y * y

I hope this helps!

AN
O A. SAS
DB. HL
O C. LL
O D. ASA
O E. LA
F. AAS
SUBMIT

Answers

Answer:

Its SAS( side angle side) axiom.

please help :) thank u

Answers

Answer:

Already answered

Step-by-step explanation:

go to this

https://brainly.com/question/11412750

There is an answer by a tutor there better than me telling you

The measure of angle 'y' which is a corresponding angle is 62°

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the midsegment of a triangle is parallel to one side of a triangle.

And parallel lines form similar corresponding angles.

Therefore, From the given figure the midsegment 'z' forms similar corresponding angles to x and y which are, 31° and 62°.

learn more about midsegments of triangles here :

https://brainly.com/question/29301123

#SPJ7

3 km is greater or less than 5,000 m

Answers

Answer:

less

Step-by-step explanation:

3 km is 1.864 miles therefore, less than 5,000 m

Which sign completes each expression?



0.3
>
0.25

0.35
0.4

0.05
0.1

Answers

Answer:

Below

Step-by-step explanation:

0.3>0.25

0.35<0.4

0.05<0.1

What is the difference between 3/4 and 1 1/2

Answers

Answer:

3

Step-by-step explanation:11/2 = to 6/2 so the diffrence is 3 im geussing

Select the correct answer from each drop-down menu.
Which data set has a greater spread? Why?

Set A: {38, 12, 23, 48, 55, 16, 18}
Set B: {44, 13, 24, 12, 56}


has a greater spread because
.
Reset Next

Answers

Answer:

B

Step-by-step explanation:

B because range of set B is more than set A

range B=56-12=44

range A=55-12=43

What is the equation of the line that passes through the point (- 2, - 1) and has a slope of 5/2

Answers

Answer:

[tex]equation \: of \: a \: line \\ y - y1 = m(x - x1) \\ y - ( - 1) = \frac{5}{2}(x - ( - 2)) \\ 2(y + 1 )= 5(x + 2) \\ 2y + 2 = 5x + 10 \\ 2y - 5x - 8 = 0[/tex]

is this right?????? or not if it's not what's the correct answer (mark brainiest)

Answers

Answer:

Yes.

Step-by-step explanation:

You always do the operations in parenthese first.

"The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)." -khanacademy . org > ...> order of operations

Answer:

B. (20 ÷ 4 - 2 + 1)

Solved, the equation equals 29.

Step-by-step explanation:

Order of operations: PEMDAS

Parantheses

Exponents

Multiplication

Division

Addition

Subtraction

9 + 5 × 2(20 ÷ 4 - 2 + 1)

The first step would be to do the operations inside the parantheses.

9 + 5 × 2(20 ÷ 4 - 2 + 1)

So,

(20 ÷ 4 - 2 + 1)

There are several operations, so lets look at PEMDAS again..

Okay, so we dont have any exponents, or multiplication inside the parantheses, so next step is divide.

(20 ÷ 4 - 2 + 1)

20 ÷ 4 = 5

So, we replace '20 ÷ 4' with '5'

(5 - 2 + 1)

Next, we add.

(5 - 2 + 1)

2 + 1 = 3

Now, replace '2 + 1' with '3'

(5 - 3)

Now, we just subtract 3 from 5.

5 - 3 = 2

So now our equation looks like this:

9 + 5 × 2(2)

Now, we have to do the parantheses again. But this time we are going to treat the parantheses as a multiplication symbol:

9 + 5 × 2(2) → 2 × 2 = 4

9 + 5 × 4

Now, we have to multiply.

9 + 5 × 4 → 20

9 + 20 = 29

So, when you solve the equation, you get 29.

In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band

Answers

Answer:

whats rhe question itdoesntsay

A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume

Answers

Question :-

A Cylinder has a Radius of 3 Ft and a Height of 5 Ft . Find the Volume .

Answer :-

Volume of Cylinder is 141.42 Ft³ .

Explanation :-

As per the provided information in the given question, we have been given that the Radius of the Cylinder is 3 Ft . The Height is given as 5 Ft . And, we have been asked to calculate the Volume of Cylinder .

For calculating the Volume , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi {r}^{2}h \: }} [/tex]

Where ,

R denotes to RadiusH denotes to Height

Therefore , by Substituting the given values in the above Formula :-

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \pi {r}^{2}h } [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: ({3})^{2} \: \times \: 5 } \\ [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: 9 \: \times \: 5 } \\ [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22\: \times \: 9 \: \times \: 5 }{7}} \\ [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac { \: 990 \: }{7}} \\ [/tex]

[tex] \Longrightarrow \: \: \: \bf { Volume \: _{Cylinder} \: = \: 141.42 } [/tex]

Hence :-

Volume of Cylinder = 141.42 Ft³ .

[tex] \underline {\rule {180pt}{4pt}} [/tex]

Answer:

Volume of cylinder is 141.3 ft³ ( Taking value of π as 3.14 )

Step-by-step explanation:

Question : -

A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume .

Given : -

Radius of cylinder = 3 ft

Height of cylinder = 5 ft

To Find : -

We have to , volume of Cylinder .

Formula Used : -

[tex] \boxed{ \sf{Volume \: of \: Cylinder = \pi r {}^{2} h }}[/tex]

Where ,

π = 3.14

r = radius of cylinder

h = height of cylinder

Solution : -

[tex] \longrightarrow \: \pi r {}^{2} h[/tex]

Now , substituting values of radius and height :

[tex]\longrightarrow \: 3.14 \times (3) {}^{2} \times 5[/tex]

Now , calculating :

[tex] \longrightarrow 3.14 \times 9 \times5 [/tex]

Firstly , multiplying 9 and 5 :

[tex]\longrightarrow \: 3.14 \times 45[/tex]

Atlast , multiplying 3.14 and 45 :

[tex] \longrightarrow \: \bold{ 141.3}[/tex]

[tex] \red{ \boxed{ \rm{Therefore , \: volume \: of \: cylinder \: is \: 141.3 \: ft {}^{3} }}}[/tex]

#Keep Learning

Pls help! This is my question..

A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?

Answers

First mass/volume is density
So,
1000/48

What do we know:

the dimensions ⇒ can help us find the volume, area, surface areamass

What do we want to find ⇒ Density

To solve that,

  ⇒ must find the relationship between density, mass, and volume

Definition of density: mass per unit volume

         ⇒ Density = mass / volume

Now let's convert some units to make it into a standard answer:

mass = 100g   ⇒ 0.1 kg      (1000g = 1kg)volume = 2 * 4 * 6 = 48 cubic centimeters = 0.000048 cubic meter

               (1 cubic meter = 1000000 cubic centimeter)

               

   ⇒ Density = 0.1 / 0.000048 = 2,083.33 kilograms per cubic meter

Hope that helps!

 

     

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