A boat goes 24 miles at a constant speed in 4 hours against a river current. It takes the boat 3 hours to go the same distance at the same speed with the current of the river. What is the speed of the boat and what is the current of the river?

Boat speed: Speed of Current:

Answers

Answer 1

Answer: 7 miles/h and 1 miles/h

Step-by-step explanation:

With the speed of current = x + 1

Against the speed of current = x - 1

ATQ

4(x-1) = 3(x+1)

4x-4 = 3x+3

4x - 3x = 3+4

x = 7

Speed of boat = 7miles/h

Current of river = 1 miles/h

please click thanks and mark brainliest if you like :)

Answer 2

Answer:

Hello,

Boat speed=7 miles/h

Current speed = 1 mile/h

Step-by-step explanation:

I am going to try to explain.

Let say V the speed of the boot (V like vitesse in french)

Let say v the speed of the current.

distance=24 miles

[tex]\left\{\begin{array}{ccc}V-v&=&\dfrac{24}{4} \\V+v&=&\dfrac{24}{3} \\\end{array}\right.\\\\\left\{\begin{array}{ccc}V-v&=&6 \\V+v&=&8 \\\end{array}\right.\\\\Adding\ the\ 2\ equations\ and\ substracting\ them \\\\\\\left\{\begin{array}{ccc}2V&=&14 \\2v&=&2 \\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}V&=&7 \\v&=&1 \\\end{array}\right.\\\\[/tex]

Boat speed=7 miles/h

Current speed = 1 mile/h


Related Questions

convert 1/1000 to a decimal or percent please and thank you

Answers

Answer:

0.001 ,0.10  pls give me brainliest

Step-by-step explanation:

In decimal fraction we write it as 1/1000. In decimal number we write it as . 001 and we read it as point zero zero one.

Square root of 64 + cube root of 64 is​

Answers

Answer:

12

Step-by-step explanation:

[tex]\sqrt{64}[/tex] + [tex]\sqrt[3]{64}[/tex]

= 8 + 4

= 12

Square root of 64 = [tex] \sf \sqrt{64} = \sqrt{8 \times 8} = \boxed{\bf 8}[/tex]

Cube root of 64 = [tex] \sf \sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = \boxed{ \bf4}[/tex]

So,

Square root of 64 + Cube root of 64

[tex] = \sf \sqrt{64} + \sqrt[3]{64} \\ \sf = 8 + 4 \\ = \boxed{ \bf12}[/tex]

12 is the answer of the question asked.

____________

Hope it helps.

RainbowSalt2222

jojo is twice as Old as esi who in turn is five years older than kweku . if their total age is 47,how is each of them​

Answers

Answer:

jojo is 26

esi is 13

and kweku is 8 years old.

Step-by-step explanation:

Let esi's age be x then jojo's age is 2x.

Also kweku's age is x - 5. as esi is 5 years older than kweku.

So  x + 2x + x - 5 = 47

4x = 47 + 5 = 52

x = 13.

So jojo's age is 2*13 = 26 and kweku's age is 13 - 5 = 8.

how many pounds are the squares to make them equal?​

Answers

Answer:

hmm

try keeping 1.5

lhs = 1 + 1 + 1.5 + 1.5 + 1.5 = 6.5

rhs = 1+1+1+1+1 + 1.5 = 6.5

hence ans is 1.5

BRIAINLIEST PLASSS

Las unidades solo son 1 6 7 o són 167 unidades 6 decimas...No lo entiendo.
c d u
Porfa ayuda.

Answers

poco contexto una foto sería más fácil

Find the area of the figure below. Use 3.14 for pi.

Answers

Step-by-step explanation:

As we can say that,

diameter=10 cm

to find radius ,

radius =diameter/2

5cm

now, we can say

Area of semi circule= 1/2 ×3.14 ×5^2

=3.14 ×25/2

= 39.25 cm^2

also,Length =14 cm now,

area of square= l^2

=14×14

196cm^2

now ,total area of figure =196+39.25=235.25cm^2

therefore, total area is 235.25cm^2

Please help me figure out these two problems!! Thanks

Answers

Answer:

A) eight legs per one spider (56/7)

B) one pretzel is 2.25 (6.75/3)

Step-by-step explanation:

56 divided by 7 is 8

6.75 divided by 3 is 2.25

In the expression, 9x^3+4x^2+7x+6, what is the constant?

9

7

6

4

Answers

Answer:

6

Step-by-step explanation:

Constant - any number that do not have a variable.Ex.: 6

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

An expression is defined as a set of numbers, variables, and mathematical operations. In the given expression 9x³+4x²+7x+6, the value of the constant is 6.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

In the given expression, 9x³+4x²+7x+6, the value of the constant is the value that does not have any variable with it.

Therefore, in the given expression 9x³+4x²+7x+6, the value of the constant is 6.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Given positive integers x and y such that x doesn't equal y and $1/x+1/y=1/18$ what is the smallest possible value for x+y?

Answers

Answer:

Hello,

[tex]\boxed{Answer: 75}[/tex]

Step-by-step explanation:

x,y integers, x,y >0 ,x≠y

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\[/tex]

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\\begin{array}{|c|c|c|c|}y-18&y&x&x+y\\---&---&---&---\\1&19&18+324=342&362\\2&20&18+162=180&200\\3&21&126&147\\4&22&99&121\\6&24&108&132\\12&30&45&75\\18&36&36&72\\\end{array}\\\\\\\boxed{Answer: 75}\\\\[/tex]

Halla el valor de x :
•27/x = x/3

Answers

Answer:

x = 9

Step-by-step explanation:

27/x = x/3

Multiplica 3 por 27

Answer: 81

Multiplica x por x

Answer: x^2
*******************
x^2 = 81

9^2 = 81

81 = 81

What is the surface area of a cube measure 8 c/w?​

Answers

Answer:

512

Step-by-step explanation:

if 8 is the edge using the formula

V=a³=8³

V=512

Write the sum using the summation notation assuming the suggested pattern continues 2, -10, 50, -250, +…
Is this sequence arithmetic or geometric? How do you know?

Answers

Answer:

geometric

x=number of terms

∑ 2(-5)^(k-1)

k=1

Step-by-step explanation:

the sequence has a ratio of -5 (2*-5=-10, -10*-5=50)

x=number of terms

∑ 2(-5)^(k-1)

k=1

for this i don't know what the last term is since it doesn't show in the question but just find 2(-5)^x and x will be the top term

For a given sample size in hypothesis testing, a.Type II error will not be effected by Type I error. b.the smaller the Type I error, the larger the Type II error will be. c.the smaller the Type I error, the smaller the Type II error will be. d.the sum of Type I and Type II errors must equal to 1.

Answers

Answer:

B.the smaller the Type I error, the larger the Type II error will be

Step-by-step explanation:

In hypothesis, type I error is when we reject the null hypothesis even though it's true while type II error is when we accept the null hypothesis even though it is false.

Now, the type I error is based on the significance level alpha. While the type II error is based on the statistical power beta.

This means that the significance level will affect the statistical power and we know that the significance level is inversely related to the Type II error rate based on beta.

Therefore, we can conclude that;

Having a lower significance level will lead to a decrease in the risk of getting a Type I error, however, it will increase the possibility of having a Type II error.

Thus, option B is correct.

A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes after the discount?


a) 0.30p


b) 0.70p


c) 1.30p


d) 30p

Answers

Answer:

Step-by-step explanation:

the answer is b

fin the slope of the line that is perpendicular to y=1/3x
1. 3
2. -3
3. -1/3
4. 12

Answers

Answer:

-3

Step-by-step explanation:

When a line is perpendicular, the slope becomes the opposite to the original. If the slope is 1/3, the perpendicular line's slope would be -3.

Which of the following illustrates the truth value of the given conditional statement?
If 3.2 = 5, then 6 <0.
OFF-T
OTT →T
OTEF
OFT →T

Answers

Answer:

OTT →T.................

................... ............

Surveys tried out on a small number of people before they are used with a larger group of people are known as ____________ surveys.
A. predominant
B. pilot
C. preliminary
D. primary

Answers

I’m pretty sure it’s C

suppose that this decade begins on 1 january 2020 which is wednesday and the next decade begins on 1 january 2030. how many Wednesday are there in this decade?​

Answers

Answer:

521

365 *10 = 3650

365/7 = 521.4

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILLL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean

Answers

Answer:

B) Range

Step-by-step explanation:

Hope this will help you

Answer:

Range

Step-by-step explanation:

I hope this will help buddy

5. Jill has an old bike. Her parents gave her $40
to repair it. New tires will cost $21. She also
wants to buy a bell for $5 and a basket for $13
How much money will Jill have left?

Answers

Answer:

1$ %ffddrjdjjdjdjdjjdjrjduduufufjf

She will have 1$ left

26 $300 at 2% for 1 year

Answers

Answer:

bsbsba

anbznzn

Step-by-step explanation:

jajjdjjxj

5. Define Linear Pair.

Answers

Answer:

when 2 angles add up to 180 degrees, they form a linear pair

Step-by-step explanation:

Liang bought a basket of apples to make pies for her friends. The basket of apples weighed ppp pounds. Before she had time to make the pies, she ate 3 pounds of apples. There are 17 pounds of apples left to make pies.

Answers

Answer: The equation to describe the situation is  p-3= 17

And, the total weight of the basket of apples was 20 pounds.

Step by step: Now, to write an equation to describe the situation. And to find the total weight of the basket of apples.

So, the basket of apples total weighed = p pounds

Liang ate apples weighed = 3 pounds.

And the apples left for the pies weighed = 17 pounds.

Now, to write an equation describing the situation:

p-3=17 .

Thus, the equation is p-3=17

Now, to get the total weight of the basket of apples:

p-3=17

adding both sides by 3 we get : p=20

Hence, the basket of apples total weighed = 20 pounds.

Therefore, the equation to describe the situation is p-3=17

And, the total weight of the basket of apples was 20 pounds.

THIS SHOULD HELP U

HAVE A GOOD DAY !

Which equation can be used to find the unknown length, b, in this triangle?


Answers

Answer: Choice A

4^2 + b^2 = 5^2

This is due to the pythagorean theorem.

Please help explanation if possible

Answers

Answer:

160= 2W + 2L ; W = L –16

2W+2L=160 ] ÷2

W+L= 80

W=L–16

____o____o___

L-60+L= 80 —> 2L= 96

L=48

W=L–16 —> w= 48-16 =32

W=32 ; L=48

I hope I helped you^_^

a circle in the xy plane has a center at (3/4, 1/2)

Answers

Answer:

(x - 3/4)^2 + (y - 1/2)^2 = r^2

Brainliest, please!

Step-by-step explanation:

Equation of a circle: (x - h)^2 + (y - k)^2 = r^2

(x - 3/4)^2 + (y - 1/2)^2 = r^2

We do not have enough information to find the radius. Were you given another point that lies on the circle?

There were 642 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 5 times the number of students who failed. Find the number of students who passed and the number who failed.

Answers

Answer:

535 students passed and 107 students failed

Step-by-step explanation:

Create a system of equations where p is the number of students who passed and f is the number of students who failed:

p + f = 642

p = 5f

Solve by substitution by plugging in 5f as p into the first equation, then solving for f:

p + f = 642

5f + f = 642

6f = 642

f = 107

So, 107 students failed.

Find how many students passed by multiplying this by 5:

107(5)

= 535

535 students passed and 107 students failed.

What is the value of 2.3 + 8 – 1/2?

a ) 10.8
b) 10.03
c) 9.8
d) 9.5

Answers

Answer:

9.8

Step-by-step explanation:

2.3 + 8 – 1/2

Rewriting the fraction as a decimal

2.3 + 8 – .5

9.8

the answer is C. 9.8

mΖΗ - 67
pleas please please help!! i’m doing angles

Answers

Answer:

could u take a picture of the angles please

Step-by-step explanation:

Geometry, please answer question ASAP

Answers

Answer:

Figures A,D are polygons.

Reason:

Polygon is a closed figure with atleast three strange lines and angles.

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