A boat takes 8 hours to go 6 miles upstream and come back to the starting point. If the speed of the boat is 4 miles per hour in still water, what is the rate of the current? Hint: total time taken = time taken to go upstream + time taken to go downstream

Answers

Answer 1

Answer: Let x = velocity of the water current t1 = time taken to go downstream t2 = time taken to go upstream t1 + t2 = 8 t2 = 8 – t1 v = D/t Downstream (4 + x) = 6/ t1 t1 = 6/(4+x) Upstream (4 – x) = 6/t2 Substitute expression for t2 to obtain (4 – x) = 6/ (8-t1) Substituting the expression of t1 to make a single variable equation, obtaining 6 = (4-x)*(8 – 6/(4+x)) Solving for x, x= 3.16 m/s

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A shipping carton for a rolled-up poster has the shape of a triangular prism. Each end of the carton is a triangle with a base 6 inches long and a height of 5 inches. The length of the carton is 32 inches. If you answer we can chat ( : and I'll thank you in a big way!

Answers

I am guessing you are wanting to find the volume.

Volume= area of cross-section × length

The area of the cross-section is the triangle is 15 cm². 15 cm² × 32cm is 480cm³. Therefore the answer is 480cm³

If you are finding the surface area, the two triangles add up to 30cm. Then each rectangle is 160cm. There are 3 rectangles and 160x3= 480. 480+30= 510cm.

The surface area is 510cm and the volume is 480cm³.

An airline offers a survey for its passengers to complete after every flight. Each time a passenger completes the survey, there is a 2
%
2%2, percent chance they will win a discounted price on their next flight. Assume that winners are selected at random, and the results of the surveys are independent.
Zaylee has numerous trips planned with this airline, and she'll always complete each survey in hopes of winning. Let
N
NN be the number of surveys Zaylee completes until she wins for the first time.
Find the probability that it takes Zaylee
3
33 surveys or less to win for the first time.
You may round your answer to the nearest hundredth.
P
(
N
≤
3
)
=
P(N≤3)=P, left parenthesis, N, is less than or equal to, 3, right parenthesis, equals

Answers

ĉu ne, ĉu ne, sorore kaj eĉ ne sendante mesaĝojn al mi?

A monster truck tire will travel will travel 12.56 ft in one revolution. What is the radius of the tire?

Answers

If it travels 12.56 ft in one revolution, then the circumference of the tire is 12.56 ft.
Circumference = 2 x π x radius
12.56=2 x 3.14 x radius
radius x 6.28=12.56

Radius= 2 ft

Hope this helps :)

1 revolution
the part that touches the ground makes 1 full circle
therefor 12.56 is the cirvmerncere
circumfrence=2pir
12.56=circumfrence
12.56=2pir
divide both sides by 2
6.28=pir
aprox pi to 3.14 and divide both sides by 3.14
2=r

radius=2 feet

Simplify 6.4a - 4.7a

Answers

4.7a+8.2a-6.5a=0

We simplify the equation to the form, which is simple to understand

4.7a+8.2a-6.5a=0

We move all terms containing a to the left and all other terms to the right.

+4.7a+8.2a-6.5a=0

We simplify left and right side of the equation.

+6.4a=0

We divide both sides of the equation by 6.4 to get a.

a=0

Answer is 1.7a

Hope it helped.

-Charlie

What is the slope of a line parallel to the line y=3x-4=8y+1

Answers

The slope of any line parallel to y = 3x - 4 is also 3.

The given equation is y = 3x - 4 , I will assume you meant to write:

y = 3x - 4

To find the slope of a line parallel to this line, we can observe that parallel lines have the same slope. The equation of the given line is in the slope-intercept form y = mx + b, where "m" represents the slope. In this case, the slope (m) of the line is 3.

So, the slope of any line parallel to y = 3x - 4 is also 3.

To know more about slope click here :

brainly.com/question/12203383

#SPJ3

Answer: If the original equation is y = 3x -4, the slope is 3.

Any equation of a line parallel to the line y = 3x -4 will have a slope of 3.

Step-by-step explanation:

In slope-intercept form, y =mx + b the coefficient of x, m is the slope.

Here 3 is that value.

It is very unusual to have two equal signs in a question about slope.

I am not sure what to do with the =8y + 1

Is this supposed to be another equation in the system, missing a term?

What percent of 75.5 is 81.54

Answers

If you would like to know what percent of 75.5 is 81.54, you can calculate this using the following steps:

x% of 75.5 is 81.54
x% * 75.5 = 81.54
x/100 * 75.5 = 81.54
x = 81.54 * 100 / 75.5
x = 108%

Result: 108% of 75.5 is 81.54.

The number 81.54 is 107.99% percentage of 75.5

We have,

To find what percent of 75.5 is 81.54, we can use the following formula:

(81.54 / 75.5) * 100

Step 1: Divide 81.54 by 75.5:

81.54 / 75.5 ≈ 1.0799

Step 2: Multiply the result by 100 to convert it to a percentage:

1.0799 * 100 ≈ 107.99

Therefore, 81.54 is approximately 107.99% of 75.5.

To explain it further, if we consider 75.5 as the whole or 100%, then 81.54 is approximately 107.99% of that whole value.

Thus,

In other words, 81.54 represents about 107.99% of 75.5.