A boat travels upstream from Point A to Point B in 10 hours. The return trip takes only 5 hours because the boat travels 5 miles per hour faster downstream due to the current. How far does the boat travel upstream?

The boat travels (__) miles upstream.

Answers

Answer 1

The boat's speed is calculated to be 50 miles per hour upstream when a boat travels upstream from Point A to Point B in 10 hours.

Evaluating upstream :

In most cases, the mathematical expression for the speed traveled upstream is as :

10x = 5(x + 5)

10x = 5 x+ 25

10x - 5 x = 25

5x = 25

x = 25 ÷ 5

x = 5

In conclusion, the boat's upstream travel distance can be estimated using the following equation.

d = 10 x

d = 10 × 5

d= 50 miles per hour

In the event that the boat is streaming the other way to the stream, it is called upstream. Upstream refers to the direction in which the river's flow originates. In this instance, the boat's net speed is referred to as the upstream speed.

Downstream: The boat is said to be downstream if it is moving in the same direction as the stream.

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Related Questions

2 feet to 2 yards ratio

Answers

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Three feet make a yard, so 2 yards is 6 feet

$\frac{2}{6}$ If we divide the top (numerator) and the bottom (denominator) by 2 we get

$\frac{2}{6}$ ÷ $\frac{2}{2}$ = $\frac{1}{3}$

A test was given to a group of students. The grades and gender are summarized below A B C TotalMale 5 9 2 16Female 7 11 12 30Total 12 20 14 46If one student is chosen at random from those who took the test, find the probability that the student got a 'C' GIVEN they are female.

Answers

Probability that the student got a 'C' GIVEN they are female = number of females that got a C in the test/number of females

From the information given,

number of females that got a C in the test = 12

number of females = 30

Thus,

Probability that the student got a 'C' GIVEN they are female = 12/30

We would simplify the fraction by dividing the numerator and denominator by 6. Thus,

Probability that the student got a 'C' GIVEN they are female = 2/5

Please help! i have no clue what the answers are!

Answers

Answer:

1) 9

2) 27

3) Read explanation below!

Step-by-step explanation:

1) Use the Pythagorean theorem to find AD. Show your working

Pythagorean theorem = a²+b²=c²Where a = 12 and c=15 = 12²+?²=15²

To find '?' we first have to expand the indices...

12² = 14415² = 225144 + ?² = 225

Now work out '?'

225 - 144 = 81√81 = 9

2) Find AC. Show your working

We have found out that AD is 9 and to find AC we have to add 18!

9 + 18 = 27

3) Is ΔABC a right triangle? Explain

We can that ΔABC is not a right angle as none of the angles in the triangle are 90°! If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!

Have a lovely day :)

PLEAS HELP ME THX I APPRECIATE IT

Answers

Answer:

B. 6 2/3

Step-by-step explanation:

After subtracting the width of the picture from the width of the wall, we find the length of the space to be ...

14 5/6 - 1 1/2 = (14 -1) +(5/6 -3/6) = 13 2/6 . . . feet

Dividing that space in half gives ...

(13 2/6)/2 = (13/2) +(2/6)/2

= 6 1/2 +1/6 = 6 3/6 + 1/6

= 6 4/6 = 6 2/3 . . . . feet

The space on either side of the picture is 6 2/3 feet.

solve the system by elimination 4x-y=2 and x+3y=7

Answers

Answer:

x=1 y=2

Step-by-step explanation:

Isolate x for 4x -y=2: X=2+y/4

Substitute x= 2+y/4

(2+y/4 )+3y=7

simplify 2+13y/4=7

Isolate y for 2+13y/4=7

y=2

Forx= 2+y/4

Substitute y = 2

x= 2+2/4

Simplify

X=1

identify each function as linear or exponential. explain. prompt 1f(x) equals the number of boxes in row x of a stack in which each row increases by 2 boxes answer for prompt 1 f(x) equals the number of boxes in row x of a stack in which each row increases by 2 boxes prompt 2f(x) equals the number of branches at level x in a tree diagram, where at each level each branch extends into 4 branches.

Answers

$f(x) = 2x is linear.f(x) = 4^x is exponential.$ This is where at each level, each branch extends into 4 branches.

In the first prompt, the number of boxes in each row is increasing by a constant amount, so the function is linear. In the second prompt, the number of branches is increasing by a factor of 4 with each level, so the function is exponential.

A linear function is defined as one where the output increases by a constant amount for each increase in the input. An exponential function is defined as one where the output increases by a constant factor for each increase in the input. The first prompt corresponds to a linear function, while the second prompt corresponds to an exponential function.

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The complete question is-

Is the function f(x) = 4^x, where x is the number of branches at level x in a tree diagram, linear or exponential? Explain your answer.

Habiba wants to buy a new laptop. She purchases it for $950 and finances it for 3 years at an interest rate of 9.2%. How much interest will she pay?

Answers

Purchased for: 950
Interest rate: 9.2%
Time: 3 years

Interest payment: $262.2

Evaluate 32 divided by 1.6
show work long division

Answers

Answer:

$20$

Step-by-step explanation:

$-----------------------------------$

$\frac{32}{1.6}$ = $\frac{16}{0.8}$ = $\frac{8}{0.4}$ = $\frac{4}{0.2}$ = $\frac{2}{0.1}$

$-----------------------------------$

$Since$ $you$ $could$ $divide$ $it$ $to$ $0.1$, $just$ $switch$ $the$ $decimal$ $with$ $the$ $0$ $and$ $take$ $away$ $the$ $decimal$ $point.$ $You$ $will$ $get$ $10$. $Lastly$, $change$ $the$ $division$ $to$ $multiplication.$

( Remember that this does not apply to all equations. )

$-----------------------------------$

$When$ $you$ $multiply$ $10\cdot2$, $you$ $get$ $20.$ $Which$ $is$ $the$ $answer.$

$-----------------------------------$

Hope this helps! <3

$-----------------------------------$

NO LINKS!! URGENT HELP PLEASE!!

1. Find the sum of measures of the interior angles of the indicated polygons.

a. Hexagon

b. 23-gon

2. The sum of the measures of the interior angles of a convex polygon is 1440. Classify the polygon by the number of sides.

3. Find the sum of the measures of the exterior angles of a 32-gon.

Answers

Answer:

a. (6 - 2) × 180 = 4 × 180 = 720 degrees.

b. (23 - 2) × 180 = 21 × 180 = 3780 degrees.

2. (n - 2) × 180 = 1440

n - 2 = 8

n = 10

3. 32 × (360/32) = 32 × 11.25 = 360 degrees.

Answer:

a. 720 degrees.

b. 3780 degrees.

2. decagon

3. 360 degrees

Step-by-step explanation:

a. The sum of the measures of the interior angles of a hexagon can be found using the formula:

Sum of interior angles = (n-2) x 180 degrees

where n is the number of sides of the polygon. For a hexagon, n = 6, so we have:

Sum of interior angles = (6-2) x 180 degrees = 4 x 180 degrees = 720 degrees

Therefore, the sum of the measures of the interior angles of a hexagon is 720 degrees.

b. The sum of the measures of the interior angles of a 23-gon can be found using the same formula:

Sum of interior angles = (n-2) x 180 degrees

where n is the number of sides of the polygon. For a 23-gon, n = 23, so we have:

Sum of interior angles = (23-2) x 180 degrees = 21 x 180 degrees = 3780 degrees

Therefore, the sum of the measures of the interior angles of a 23-gon is 3780 degrees.

The sum of the measures of the interior angles of a convex polygon with n sides can be found using the formula:

Sum of interior angles = (n-2) x 180 degrees

We are given that the sum of the measures of the interior angles is 1440 degrees. Substituting this value into the formula, we have:

1440 = (n-2) x 180 degrees

Simplifying and solving for n, we get:

n-2 = 1440/180 = 8

n = 8+2 = 10

Therefore, the polygon has 10 sides, and it is a decagon.

The sum of the measures of the exterior angles of any polygon is always 360 degrees.

For a polygon with 32 sides, the sum of the exterior angles can be found using the same formula:

Sum of exterior angles = 360 degrees

Divided by the number of sides in the polygon, which is 32:

Sum of exterior angles = 360 degrees / 32 = 11.25 degrees

Therefore, the sum of the measures of the exterior angles of a 32-gon is 360 degrees, and each exterior angle of a regular 32-gon measures 11.25 degrees.

Which situation could be represented by -15?
O Having 15 fewer people go to a concert
Throwing a ball 15 more times than another player
Sleeping 15 more minutes
Reading 15 more books one year than in the previous year

Answers

Having 15 fewer people go to a concert

A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
00
11
14
16
15 12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Enter

Answers

I think that would be 16

Suppose you are working on your taxes using a Microsoft Excel spreadsheet. Cell B3 shows the total amount of income tax you paid. Cell B2 shows the total amount of tax for which you are responsible. You want to write a formula that looks to see if the amount that you paid is greater than the amount that you were responsible for.
If it is, then subtract the amount you were responsible from the amount you paid and round this difference to the nearest whole number.
Otherwise, display zero
A. =IF(B3>B2, ROUND(B2 – B3, 0), 0)
B. =ROUND(IF(B3>B2, B3 – B2, 0), 0)
C. =IF(B3>B2, ROUND(B3 – B2, 0), 0)
D. =IF(B2>B3, ROUND(B3 – B2, 0), 0)

Answers

The correct formula for this scenario is A. =IF(B3>B2, ROUND(B3 - B2, 0), 0).

What is the use of IF and ROUND functions in Microsoft Excel?

The IF and ROUND functions are two commonly used functions in Microsoft Excel. Here's a brief explanation of each:

IF Function:

The IF function allows you to test whether a certain condition is true or false, and then perform a specific action based on the result of that test. The basic syntax of the IF function is as follows:

=IF(logical_test, value_if_true, value_if_false)

Here, the "logical_test" is the condition that you want to test. If this condition is true, then Excel will return the "value_if_true". If the condition is false, Excel will return the "value_if_false".

For example, suppose you have a cell A1 that contains a number. You could use the IF function to test whether that number is greater than 10, and then return "Yes" if it is, and "No" if it isn't, using the following formula:

=IF(A1>10, "Yes", "No")

ROUND Function:

The ROUND function allows you to round a number to a specific number of decimal places. The basic syntax of the ROUND function is as follows:

=ROUND(number, num_digits)

Here, the "number" is the number that you want to round, and the "num_digits" is the number of decimal places to which you want to round. If the "num_digits" is positive, then the function will round to the specified number of decimal places to the right of the decimal point. If the "num_digits" is negative, then the function will round to the left of the decimal point.

For example, suppose you have a number in cell A1 that contains many decimal places, and you want to round it to two decimal places. You could use the ROUND function as follows:

=ROUND(A1, 2)

This will round the number in cell A1 to two decimal places.

Here,

The correct formula for this scenario is A. =IF(B3>B2, ROUND(B3 - B2, 0), 0).

This formula uses the IF function to check whether the amount paid (B3) is greater than the amount for which the person is responsible (B2). If this is true, then it subtracts the amount for which the person is responsible from the amount paid and rounds the difference to the nearest whole number using the ROUND function. If the amount paid is not greater than the amount for which the person is responsible, then the formula displays zero.

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Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on the
diagram.
Give your answer correct to 1 decimal place

Answers

The radius of the circle, marked p on the diagram, is approximately 5.8 cm.

What is radius?

Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.

The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.

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Brianna buys a doll for 11.58 and some lotion for 3.14 she pays with a 20 dollar bill how much change should she get to the nearest dime.
\

Answers

Answer:

5.30

Step-by-step explanation:

11.58 + 3.14 = 14.72

20 - 14.72 = 5.28

nearest dime is 5.30

A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?

Answers

The inequality that represents p, the number of people the theater can seat is p ≤ 25

Which inequality represents p, the number of people the theater can seat?

From the question, we have the following parameters that can be used in our computation:

A movie theater can seat a maximum of 25 people

This means that

Maximum = 25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

Answers

Answer:

I believe it's 726=740-S

Answer:

s = 740 - 14

Hope it helps u

In the diagram below of circle O, chords AD and BC intersect at E, and chords AB and CD are drawn.
Which statement must always be true?
PLEASE HELP!

Answers

The correct answer is (C) $\angle B \cong \angle C.$ when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

$\angle A + \angle C = 180^\circ$

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

$\angle B + \angle C = 180^\circ$

We can rewrite the second equation as:

$\angle C = 180^\circ - \angle B$

Substituting this value of \angle C into the first equation, we get:

$\angle A + 180^\circ - \angle B = 180^\circ$

Simplifying, we get:

$\angle A = \angle B$

Therefore, the correct answer is (C) $\angle B \cong \angle C.$

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A family buys airline tickets online. Each ticket costs $208. The family buys travel
insurance with each ticket that costs $16 per ticket. The web site charges a fee of
$22 for the entire purchase. The family is charged a total of $1142. How many
tickets did the family buy

Answers

the family brought 2271 tickets.

Answer:

5 tickets

Step-by-step explanation:

Each ticket costs $224 including the travel insurance and they are charged $22 regardless of the number of tickets they buy.

Therefore, the equation is 224x + 22 = 1142

First, you have to subtract the 22 from both sides to amount to 224x = 1120

Now, you divide 224 from 1120 to get 5

The family bought 5 tickets.

which number has 5 that is 1/10 the value of the 5 in 522.12?

Answers

Answer:

50,12

Step-by-step explanation:

any number that has 5 in the tensplace is correct

1/10 of 100 is 10

Ken owns 500 shares of LaceNBrace, which makes hockey equipment. He receives a notice stating the company will be paying $0.15 dividend per share. What is the total dividend payment he receives for that quarter? O $750 O $8.50 O $7.55 O $75

Answers

Ken will receive a total dividend payment of $75 for that quarter.

We have to given that,

Ken owns 500 shares of LaceNBrace, which makes hockey equipment.

And, He receives a notice stating the company will be paying $0.15 dividend per share.

Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:

= $0.15 per share x 500 shares

= $75

Therefore, Ken will receive a total dividend payment of $75 for that quarter.

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how many solutions does this graph have?

Answers

the correct answer is one solution

Answer:

one solution, the point of intersection

Step-by-step explanation:

Study the table representing the price of different amounts of apples, in pounds, and then complete the sentences. The constant difference in the y-values is . The linear function is .

Answers

Answer: the first part is 1.25. The second part is y=1.25x

Step-by-step explanation: edge 2021

5. In quadrilateral RSTW. diagonals RT and SW are perpendicular bisectors of
each other, Quadrilateral RSTW must be a
Rectangle Rhombus m. Square
a,
c. I and IN
d. 1. I, and I

Answers

Answer:

Rhombus and/or Square

Barnika bought 100 eggs for Rs. 900. Out
of them. 8 were broken. She sold the remaining eggs
at the rate of Rs. 10.50 each. Find the profit or loss
percent.

Answers

Step-by-step explanation:

cost of an egg= 900/100= Rs.9

Total cost = 100×9=Rs.900

when 8 eggs broken, the eggs remained to sell is 92(100-8)

Total sales = 10.50×92=Rs.966

profit = total cost-total sales

profit =966-900= Rs.66

profit percentage =profit/total sales×100%

66/966×100%=6.832%

15 points

Draw a square

side 5cm
Diagonal 5cm

how will i draw it
with both 5cm

Answers

Answer:

that's easy

Step-by-step explanation:

first we should check the 5 cm in scale .

Then we can easily draw 5 cm in side and diagonal.

hope it's clear to you.

Mr. Ramirez purchased 25 concert tickets for a total of $245. The concert tickets cost $17 for adults and $12 for children under the age of 12.

Answers

Answer:

Step-by-step explanation: Use the variables “a” for adults and “c” for children.

Which ordered pair is a solution of this equation?
-2x + 9y = -26

(-4,-4)
(4,4)
(-4,-5)
(-5,-4)

Answers

It’s A (-4,4) just plug the number and that your answer

Answer is: (-5, -4)
-2(-5)= 10 and 9(-4)= -36
10-36= -26

Ethan buys 4 packs of muffins. He uses a Coupon and saves $2 off the total.

Which expression represents his total cost?

A. 4+2

B. 4m -2

C. 4m + 2

D. 4 - 2m

Answers

This expression represents Ethan's Total cost after using the coupon cost after using the coupon would be:4m - 2

Ethan buys 4 packs of muffins. He uses a coupon and saves $2 off the total.

Let's find out which expression represents his total cost.

Step 1: Determine the cost of one pack of Muffins

To determine the cost of one pack of muffins, we need to use algebra.

Let m be the cost of one pack of muffins. If Ethan buys 4 packs of muffins, then his total cost before using the coupon would be 4m.

Step 2: Use the coupon to calculate the total Cost Now let's use the coupon to calculate Ethan's total cost.

We know that he saved $2 off the total.

Therefore, his total cost after using the coupon would be:4m - 2

This expression represents Ethan's total cost after using the coupon. Therefore, the correct answer is option B: 4m - 2.

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I WILL GIVE BRAINLIEST AND 100 POINTS (answer correctly) I NEED NUMBER 12 DONE ASAP!!

Answers

Answer:

Step-by-step explanation:

p³/r² - (m + np) = (-8)³/4² - (-32 + 2(-8)) = -512/16 - (-32 - 16) = -32 + 48 = 16

p³/r²(-8)³/4²-512/16-32

m+np

-32-16-48

Now

-32-(-48)16

Its about fractions please help me

$Its about fractions please help me$

Answers

The times the 7 in the Susan's scores is greater than Sarah's score is 100 times

How many times is the 7 in the scores greater than the other

From the question, we have the following parameters that can be used in our computation:

Susan = 87, 325

Sarah = 46, 175

The values of the 7's in their scores are

Susan = 7, 000

Sarah = 70

So, we have

Number of times = 7000/70

Evaluate

Number of times = 100

Hence, the number of times is 100

A boat travels upstream from Point A to Point B in 10 hours. The return trip takes only 5 hours because the boat travels 5 miles per hour faster downstream due to the current. How far does the boat travel upstream? The boat travels (__) miles upstream.

Answers

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A boat travels upstream from Point A to Point B in 10 hours. The return trip takes only 5 hours because the boat travels 5 miles per hour faster downstream due to the current. How far does the boat travel upstream?

The boat travels (__) miles upstream.