WILL GIVE BRAINLIEST FOR A CORRECT ANSWER:
A boat travels for 3 hours with a current of 3 mph, and returns back in 4 hours. How far did the boat travel in one way?​

Answers

Answer 1

Answer:

Solution:

the boat's speed in still water: x

The speed with current: (x+3)

The speed against current: (x-3)

The equation is

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

x = 21 mph

The distance = 3*(21+3)= 72 miles

I  choose (A)

Step-by-step explanation:

Answer 2

Answer:

72 Miles

Step-by-step explanation:


Related Questions

Use the following to answer questions 19-21 Breast cancer is one of the leading causes of death in women prior to age 50. A study of the effectiveness of regular breast self-examination (BSE) reported in the American Journal of Public Health found that 23 of 53 women who discovered a tumor through BSE had a tumor in an early stage. Of 178 women who discovered a tumor by accident, 48 had a tumor in an early stage. Let p1 and p2 denote the proportion of women who detected early stage tumor through BSE and by accident, and let p1 and p2 denote the corresponding estimates.

The SE of p1-p2 is:________

Answers

Answer:

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

Step-by-step explanation:

Step(i):-

The  proportion of the first sample

      [tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{23}{53} = 0.43396[/tex]

The proportion of the second sample

      [tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{48}{178} = 0.2696[/tex]

Step(ii):-

Standard Error of ([tex]p^{-} _{1} - p^{-} _{2}[/tex]) is determined by

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{p^{-} _{1} (1-p^{-} _{1} )}{n_{1} }+\frac{p^{-} _{2}(1-p^{-} _{2} ) }{n_{2} } }[/tex]

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{0.43396) (1-0.43396 )}{53 }+\frac{0.2696(1-0.2696 ) }{178} }[/tex]

on simplification, we get

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

       

A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the
second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability,
For each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event

Answers

Answer:

Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability

Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability

Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability

Step-by-step explanation:

The probability of the given events is:

[tex]\frac{1}{4}[/tex][tex]\frac{1}{4}[/tex][tex]\frac{3}{8}[/tex]

According to the question,

Number of outcomes = 8

Event A:

Having the alternative even and odd numbers.

→ [tex](EOE, OEO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event B:

No even number and last two rolls.

→ [tex](EOO,OOO) = \frac{2}{8}[/tex]

                         [tex]= \frac{1}{4}[/tex]

Event C:

Exactly on odd number:

→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]

Thus the above approach is correct.

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Can someone help me Write an equation for this graph?

Answers

Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

-1 = 0 + b

-1 = b

∴ y = (2/3)x - 1

can someone pls help with this i’m so confused

Answers

Answer:

biggest size is 115 inches.

smallest size is 40 inches

Step-by-step explanation:

the biggest size will be

Tmax= 2(168)/3 + 3

= 115 inches..

the smallest size

Tmin= 168/4 - 2= 40 inches

2. Given R (6, -2) and S (8, 12), find the midpoint of RS.

Answers

Answer:

You need to find the slope of the two points given, then you need to add or subtract (depending on if the slope is increasing or decreasing). Once you find the slope add or subtract the answer onto R or S.

Step-by-step explanation:

SLOPE FORMULA-

y2-y1 / x2-x1

70 points !!! So try

Answers

Answer:

1/ 5²

Step-by-step explanation:

= 5³ × 1/5⁵

= 125 × 1/5⁵

= 125/3125

= 1/25 or 1 / 5²

The answer is
1/-5
I hope this help

What is the volume of the square pyramid? Round to the nearest tenth.
267.9
1107.7
1670.8

Answers

Answer:

1670.8 cm³

Step-by-step explanation:

Volume of square Pyramid = ⅓*a²*h

h = 15.3 cm

a = 18.1 cm

Plug in the values

Volume of the pyramid = ⅓*18.1²*15.3

Volume = 1670.81 ≈ 1670.8 cm³ (nearest tenth)

The solution to -3x + 5x - 7 = -11 is _____.

Answers

Answer:

x = -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Carmen made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $153?

Answers

Answer:

9

Step-by-step explanation:

221/13=17

So $17 for one hour

153/17=9

I dunno if this is right :)

Answer:

Carmen has to work 9 hours to make $153.

Step-by-step explanation:

Well first we would need to find out how much she makes an hour, so to do that we would divide the 221 by 13 hours and get 17. Then you just keep multiplying until you have the right number.

17x4=68

17x5=85

17x6=102

17x7=119

17x8=136

17x9=153

What would the slope of a line be to line perpendicular to the following: Y = 2x - 2

Answers

Answer:

-1/2x

Step-by-step explanation: negative reciprical

PLEASE HELP!!! (Thank you) :)

Answers

The answer is 26 divided by 2 witch is 13

Answer:

13

Step-by-step explanation:

(24 + 2) / 2

26/2

=13

For the pair of similar triangles, find the value of x.

The value of x is .

Answers

Answer:

18.

Explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The value of 'x' in two similar triangles is 6.46.

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 in similar triangles the ratio of their corresponding sides are equal.

Therefore, The equation to determine the value of 'x' should be,

(2x - 6)/20 = 36/(x + 6).

36(2x - 6) = 20(x + 6).

72x - 216 = 20x + 120.

72x - 20x = 120 + 216.

52x = 336.

x = 336/52.

x = 6.46.

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what is -9x - 5x + 6x + 3 = ?​

Answers

think about it. first let’s pretend the variable (x) isnt there. let’s add up the -9 + -5 + 6. so, -9 + -5 is -14x if you put the x back on. next, -14 + 6 is -8 because the six is positive. so the answer would be -8x+3 because the three is all alone and has no variable next to it!

Nadia lives in the town of Preston. Quinn lives

in the town of Elm Ridge. Nadia and Quinn each

claim that her respective town's population

is growing more rapidly.

Preston

Last Year 5,589 and this Year 5,702

ELM Ridge

Last Year 1,870

and this Year 1,926

Answers

Answer:

ELM Ridge is growing at a faster rate

Step-by-step explanation:

To obtain the solution, we calculate the growth rate of both cities

Given :

Nadia : Preston

Population Last Year 5,589

This Year 5,702

Growth rate:

[(this year population - Last year population) / last year population] * 100%

[(5702 - 5589) / 5589] * 100%

(113 / 5589) * 100%

= 0.0202182 * 100%

= 2.02%

ELM Ridge

Last Year 1,870

This Year 1,926

Growth rate:

[(this year population - Last year population) / last year population] * 100%

[(1926 - 1870) / 1870] * 100%

(56 / 1870) * 100%

= 0.0299465 * 100%

= 2.994%

= 3%

PLEASE ANSWER THIS QUESTION RIGHT.The graph below shows the path of a golf ball after being hit.

Answers

Domain is the x value which is the left to right values.

The line starts at 0 and ends at 100

The domain would be 0 <= x <= 100

if a box of oranges weigh 4 kilograms one orange weighs 80g how many oranges?

Answers

There are 50 oranges in the box.

Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?

Answers

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

1/4 = x

18    252

18x = 252(1/4)

18x = 63

x = 63 / 18

x = 3.5

Need help in math!!!!!!!!

Answers

Answer:

1.9x+2(1.5)>30

Step-by-step explanation:

1.9(15)+2(1.5)

28.5+3

31.5 dollars

therefore the equation is grater than 30 dollars

help plz will give brainlyest

Answers

Answer:

A. Cendric is correct because he used the inverse of subtraction and added 4.5

Step-by-step explanation:

To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.

Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.

Solve the equation 3x-1 = -7

Answers

Answer: x = -2

Step-by-step explanation:

first, we move the constant to the right.

3x = -7 + 1

then, we calculate that.

3x = -6

finally, we divide both sides.

x = -2

The solution to the equation 3x - 1 = -7 is x = -2.

To solve the equation 3x - 1 = -7, we need to isolate the variable x on one side of the equation.

Here are the steps to solve it:

Step 1: Start with the given equation: 3x - 1 = -7.

Step 2: To eliminate the constant term (-1) on the left side, we can add 1 to both sides of the equation:

3x - 1 + 1 = -7 + 1.

Simplifying, we get: 3x = -6.

Step 3: Now, we want to isolate x, so we need to get rid of the coefficient 3 in front of x.

We can do this by dividing both sides of the equation by 3:

(3x)/3 = (-6)/3.

Simplifying further, we have: x = -2.

Step 4: We have found the solution to the equation: x = -2.

Therefore, the solution to the equation 3x - 1 = -7 is x = -2.

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Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. 2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. 3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
4. If Kevin wrote 21 posts, how many did Cheryl write?

Answers

Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)

Cheryl wrote 14 posts, because 21 - 7 = 14

Hope this helps <3

1. We have chosen a variable 'x' to represent the number of posts by Kevin.

2. Subtraction applies to this situation.

3. The number of posts written by Cheryl is (x - 7).

4.  If Kevin wrote 21 posts, Cheryl wrote 14 posts.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Let, Kevin writes 'x' number of posts,

Therefore, Cheryl writes (x - 7) posts.

We could have chosen any letters for the number of posts Kevin writes,

And as Cheryl writes fewer posts than Keving we subtracted the number.

If Kevin writes 21 posts, 'x' is 21, And hence Cheryl has written,

(21 -7).

= 14 posts.

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2- 1/2n=3n+16

I need you to solve the whole equation step by step

Answers

Answer:

n = -4

Step-by-step explanation:

2 - 1/2 n = 3n + 16

Combine the constants by subtracting 2 from both sides.

-1/2n = 3n + 14

Combine the variable by subtracting 3n from both sides.

-7/2n = 14

Multiply both sides by 2 to simplify the fraction.

-7n = 28

Isolate n by dividing by -7 on both sides.

n = -4

Check.

2 - 1/2(-4) = 3(-4) + 16

2 + 2 = -12 + 16

4 = 4

Your answer is correct.

Answer:

2-16=3n+1/2n

-14=(6n+n)/2

-28=7n

n=-4

Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On average, sales have been about 87,000 packages of No- Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages

Answers

Answer:

the probability that sales will be less than 81,000 packages is 0.6681

Step-by-step explanation:

Given that;

Average sales μ = 87,000

standard deviation σ = 4,000

x' = 81,000

P( x < 81,000) = ?

so

P( x < 81,000) = P( x - μ / σ )

we substitute

P( x < 81,000) = P( 81,000 - 87000 / 4000 )

P( x < 81,000) = P(  - 6000 / 4000 ) = -1.5

from table;

P( z < 1.5 ) = 0.6681

Therefore the probability that sales will be less than 81,000 packages is 0.6681

2
If f(x) = -2x2- x, what is f(2) and f(3)?

Answers


If f(x) = -2x^2 - x, what is f(2) and f(3)?

f(2) = -2x^2 - x
= -2(2)^2 - 2
= -4^2 - 2
= 16 - 2
f(2) = 14

f(3) = -2x^2 - 2
= -2(3)^2 - 2
= -6^2 - 2
= 36 - 2
f(3) = 34

im like gonna be posting these because i been on this section since august

Answers

Answer:

$102

Step-by-step explanation:

First calculate the number of hours for morning and afternoon.

[8:15 - 12:15] 12 - 8 = 4 hours for the morning

[13:00 - 17:30] (17 - 13) + 1/2 an hour = 4.5 hours

Giving us a total of 8.5 hours.

12 x 8.5 = 102

Use the rules of inference to prove the conclusion r given (all 1,2,3 and 4) the four premises listed below. Write your solution as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements, or it is equivalent to a previous statement by the rules of logical equivalences. You should give the rule used by name and refer by number to the previous statement(s) that the rule was applied to.

a. p +- (premise)
b. p Vu (premise)
c. q (premise)
d. ((r Λ t) V p) V-u (premise)

Answers

Answer:

attached below

Step-by-step explanation:

Applying the rule of logical equivalences

attached below  is a detailed solution ( written as a numbered sequence of statements )

Answer:

identity laws, domination laws, commutative laws, double negation laws these are some laws from logical equivalence.

What is logical equivalence?

A tautology is a claim that is true no matter what the truth values of the propositional variables it includes are.Contradictions and absurdities refer to a group of propositions that are all untrue.It's also known as a contingency when a composite proposition contains neither a tautology nor a contradiction.What does this imply in actuality, though?To make sense of this, go to the following truth table.

Contradiction and tautology

Inconsistency, contradiction, and tautology So a tautology is when every single statement in a column is true, as defined by Oak Ridge National Laboratory, and is often indicated by a bold-faced capital T. When the entire column is untrue, a contradiction, which is often denoted by a boldface capital F, exists.

However, why is this significant?

We may better understand propositional equivalences, or assertions that are equivalent in logical reasoning, by using tautologies and contradictions, which are necessary in establishing or verifying mathematical arguments. Our task will be to confirm the logical equivalentity of propositions like p and q.

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There are 23 men and 7 women running a race. What is the ratio of the number of male runners to the total number of runners?(these are all my points please give a honest answer)

Answers

Answer:

The ratio would be 30:23

Step-by-step explanation:

It cannot be simplified ''pretty'' so it would stay as 30:23.

is -3 or 2 a higher slope? ( please help fast will give brainliest and thanks!!!!! 100 points help pleaseeeeee!!!!)

Answers

Answer:

ANSWER IS -3

Step-by-step explanation:

HOPE THIS HELPS

ANSWER IS -3

have a good day

6m – 3 = 5 – (m + 39.5)

What is the solution of the equation shown

Answers

Answer:

m= -4.5

Step-by-step explanation:

Let's solve your equation step-by-step.

6m−3=5−(m+39.5)

Step 1: Simplify both sides of the equation.

6m−3=5−(m+39.5)

6m−3=5+−1(m+39.5)(Distribute the Negative Sign)

6m−3=5+−1m+(−1)(39.5)

6m−3=5+−m+−39.5

6m+−3=5+−m+−39.5

6m−3=(−m)+(5+−39.5)(Combine Like Terms)

6m−3=−m+−34.5

6m−3=−m−34.5

Step 2: Add m to both sides.

6m−3+m=−m−34.5+m

7m−3=−34.5

Step 3: Add 3 to both sides.

7m−3+3=−34.5+3

7m=−31.5

Step 4: Divide both sides by 7.

7m

7

=

−31.5

7

m=−4.5

Step-by-step explanation:

6m-m=5-3+39.5

5m=-37.5

m=7.5

(Extra Credit) Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 75% have an emergency locator, whereas 90% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. If it has an emergency locator, what is the probability that it will not be discovered?

Answers

Answer:

0.0323 = 3.23% probability that it will not be discovered

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Has emergency locator

Event B: Probability it will not be discovered.

Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.

So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].

90% of the aircraft not discovered do not have such a locator.

So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]

Probability of having the locator:

75% of 80%(Discovered).

10% of 20%(Not discovered). So

[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]

If it has an emergency locator, what is the probability that it will not be discovered?

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]

0.0323 = 3.23% probability that it will not be discovered

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