Marcus can drive his boat 36 miles down the river in 3 hours but takes 4 hours to return upstream. Find the rate of the boat
in still water and the rate of the current.

Answers

Answer 1

Answer:

With river 12 miles per hour

Against river 9 miles per hour

wv = water velocity  vsw = boat velocity in still water

vsw +wv =  12 mph

vsw -wv = 9 mph

2 * vsw = 21 mph

boat velocity in still water = 10.5

Since vsw + wv = 12 then

water velocity = 1.5 mph

Step-by-step explanation:

Answer 2

Answer:

speed in still water: 10.5 Current: 1.5

Step-by-step explanation:


Related Questions

Can someone please help

Answers

Answer:20 minutes

Step-by-step explanation:

It would be 20 because 55+5= 60 which is an hour and then 5+15=20

Hope this helps

Have a great day/night

m over 8 minus 5 equal 12​

Answers

Answer:

m = 136

Step-by-step explanation:

m/8 - 5 = 12

1. Add 5 on both sides

m/8 - 5 + 5 = 12 + 5

m/8 = 17

Multiply 8 on both sides since u are trying to isolate the variable

m/8 * 8 = 17*8

m = 136

Check

136/8 - 5 = 12

17 - 5 = 12

12 = 12

Hope it helped!

Step-by-step explanation:

[tex]\frac{m}{8}[/tex] - 5 = 12 : Original Problem

[tex]\frac{m}{8}[/tex] -5 +5 = 12 + 5 : Bringing the constants to one side

[tex]\frac{m}{8}[/tex] = 17 : Simplification

[tex]\frac{m}{8}[/tex]×8 = 17×8: Isolating the variable

m = 136 : The answer!!!

Checking the answer

[tex]\frac{136}{8}[/tex] -5 = 12 : Substitution

[tex]\frac{136}{8}[/tex] = 17 : Bringing constants to one side and simplification

136 = 17 × 8 : Isolating the answer

136 = 136 : Success!!!

I hope this is what you wanted and I hope this helps!!!

A $96.00 item is marked down by 25%
what is the new cost of the item?
round if needed

Answers

Answer:

$72.00

Step-by-step explanation:

Answer:

$72

Step-by-step explanation:

25% of $96 = [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex]  [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] = [tex]\frac{2400}{100}[/tex]  [tex]\frac{2400}{100} = 24[/tex]  $96 - $24 = $72

I hope this helps!

The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
-6

Answers

Answer:

O The range of the function is all real numbers greater

than or equal to 0.

Step-by-step explanation:

The function f(x) = -square root x is shown on the graph.

Which statement is correct?

ТУ

7

6

5

3

The domain of the function is all real numbers less

than or equal to - 1

O The range of the function is all real numbers greater

than or equal to 0.

The range of the function is all real numbers less

than or equal to 0.

The domain of the function is all real numbers less

than or equal to 0.

2

55

14

-

2

-

3

4 5 6 7 X

-2

3

4

-5

Answer:

C:domain: all real numbers

range: all real numbers greater than 1

Step-by-step explanation:

Edge 2021

Help solve inequality

Answers

Answer:

n ≥ -95

Step-by-step explanation:

[tex]\frac{n}{-5}[/tex]  -4 ≤ 15    

[tex]\frac{n}{-5}[/tex] ≤ 19             add 4 to 15

n ≥ -95            multiple -5 to 19; sign flips when multiplying or dividing an inequality

find the slope thanks ​

Answers

Answer:

Hello! Just here so the other person can get brainliest. I will do the same for the other questions.

Step-by-step explanation:

if 50% is 10 what is 75%​

Answers

THE ANSWER IS 15 BECAUSE I DID THE MATHnehe it wotn send omg

Answer:

15

Step-by-step explanation:

hhwkdveiwvsjzvejdif

W + 7 < 4 you don’t have to show work

Answers

W < -3
Subtract 7 from both sides

It is not possible to divide 22 by 0 because there is no you can ______ by 0 and get 22.

A. multiply
B. add
C. subtract
D. divide

Answers

Answer:

divide

Step-by-step explanation:

divide

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

Answer:

its A.multiply

Step-by-step explanation:

if you cannot divide than you cannot multiply

A closed box has a square base with side length l feet and height h feet. Given that the volume of the box is 29 cubic feet, express the surface area of the box in terms of l only.

Answers

Answer:

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

Step-by-step explanation:

The length of the box = [tex]l[/tex]

The height of the box = [tex]h[/tex]

The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.

The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]

hence volume = [tex]l^2 \times h =29[/tex]

Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.

[tex]h =29/l^2[/tex]

In the next phase, we are to find the surface area of the box.

The box has a square base, hence it will be made up of

2 squares with 4 rectangles. This is assuming the top is closed.

This means the surface area will be

[tex]2(l^2) +4 (l\times h)[/tex]

recall [tex]h = 29/l^2[/tex]

Hence, surface area =

[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

The surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

What is of volume of cuboid?

Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of cuboid or box can be given as,

[tex]V=l\times b\times h[/tex]

Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.

A closed box has a square base with side length l feet and height h feet.  Therefore, the length and width will be the same.

The volume of the box is 29 cubic feet. Thus,

[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]

The surface area of the square base box is,

[tex]A=2l^2+4lh[/tex]

Put the value of height,

[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]

Hence, the surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

Learn more about the volume of cylinder here;

https://brainly.com/question/12748872

Hi please help me answer this :)

Explain answer

Will give braisnlt

Answers

Answer:

There are no solutions

Step-by-step explanation:

No intersections or points that apply for the equations.

Any intersection between both lines is a solution. As these lines are parallel they have no solution. If they met at any point, 90 degree or not, there is  solution, the solution will be a point. If they are on the same line, hitting all the same points, the solutions are infinite.

Need help if u do I will put brainliest

Answers

the first answer is 6.1 ounce less

the 2nd answer is $3.6 more


does anyone know this please help

Answers

Answer:

It is the 3rd graph

Step-by-step explanation:

It is the only one that shows a porpotional relationship.

Answer:

sry mate.....

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

Twins Isaac and Isaiah were just born. Isaac weighs 6666 pounds 2222 ounces and Isaiah weighs 5555 pounds 4444 ounces.

Answers

Step-by-step explanation:

Kindly make the question clearer for assistance

make the question more clear pls

WILL GIVE BRAINLIEST

Find the equation of the line

perpendicular to y=-2x + 1 that

also intersects the point (8, 2).

y- Hx+ 1

Enter

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

perpendicular lines have a neg. reciprocal for the slope.

for example:

in this equation y=-2x+1

-2 is the slope and the negative reciprocal would be 1/2

hence, the slop of our new line is 1/2

y=1/2x+b

we can substitute the coordinates given for x and y:

2=1/2(8)+b

2=4+b

-2=b

hence the new equation is y=1/2x-2

Which set of side lengths form a right triangle?
2 inches, 3 inches, 4 inches
6 inches, 8 inches, 10 inches
8 inches, 9 inches, 11 inches
10 inches, 12 inches, 13 inches

Answers

Answer:

It’s 10 inches, 12 inches, 13 inches

Step-by-step explanation:

What is the equation in point−slope form of the line passing through (−3, −4) and (0, 2)?
Use the table below to answer this question:

x y
0
2
1
−1
2
−6
Find the average rate of change for the given function from x = 0 to x = 2.

Answers

Answer:

The answer is A

Eugene sold half of his comic books and then bought eight more. He now has 32. With how many did he begin?

Answers

Answer:

48 books

Step-by-step explanation:

32-8 = 24

24= 1/2 of total

24x2=48

Answer=48 books

Check:

48/2=24

24+8=32

YAY!!

Answer:

48 comic books

Step-by-step explanation:

Let's use x as the amount that he originally had.

If he sold half of them, that would be:

(1/2)x

Then he bought 8 more, so you would add 8 to that total.

(1/2)x + 8

If he now has 32 then we need to set that equation to equal 32.

(1/2)x + 8 = 32

Subtract 8 from each side.

(1/2)x = 24

Then you will divide 24 by 1/2. That is the same thing as multiplying by 2.

So,

x = 48

Check work

(1/2)x + 8 = 32

(1/2)(48) + 8 = 32

Half of 48 is 24.

24 + 8 = 32.

32 = 32.

Which number(s) below belong to the solution set of the equation? Check all that apply.

x + 10 = 40


A. 40

B. 80

C. 400

D. 4

E. 30

F. 50

Answers

Answer:

E only

Step-by-step explanation:

I would believe that it is only E 30

Evaluate functions from their graph f(-5)=

Answers

Answer:

7

Step-by-step explanation:

(-5,7) lies in the graph!

In Mr. Romano‘s class, 40% of the students like baseball. If 14 of his students
like baseball, how many students are in Mr.Romano’s Class?

Answers

Answer:

35

Step-by-step explanation:

The number of students in Mr.Romano’s class is 35.

Given that, in Mr. Romano‘s class, 40% of the students like baseball.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of students in Mr.Romano’s class be x.

Here, 40% of x = 14

⇒ 40/100 × x = 14

⇒ 0.4x = 14

⇒ x = 14/0.4

⇒ x = 35

Therefore, the number of students in Mr.Romano’s class is 35.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Find all solutions in the interval [0, 2pi).
tanx+ secx =1
a) x=pi/4
b) x=0
c) x=5pi/4
d) no solution

Answers

Answer:

1 should be the answer bi

Step-by-step explanation:

what is 4 1/2-3 5/6 from page 393 GO Math book

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

This is the answer because it is.

It is 1/6
This is the answer because

Triangle IHJ is similar to triangle RST.
What is the length of side _
RT

Answers

6 mm

Set up a proportion of 12/9=8/x. Cross multiply and this gives us 12x=72. Now divide both sides by 12 and you get 6.

2 ( x + 1 )

it's just a simple warm up question, please hurryyy.

Answers

Answer:

2x+2

Step-by-step explanation:

It's multiplicative distribution - when you multiply something in parenthesis by another expression, you distributively multiply the expression to the expression in the parenthesis.

2x+2 (since you do not know the value of the variable you cannot go any further)

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find an equation for the parabola.


INCLUDE WORK.

Answers

Answer:

y=-0.215x^2+35

Step by Step:

Let, [tex]h=0[/tex],  [tex]k=35[/tex], [tex]x=8[/tex], [tex]y=21[/tex]

We know that, the general equation of the parabola.

   [tex]y-k = a(x-h)^2[/tex]

[tex]\Rightarrow y=a(x-h)^2+k .........(i)[/tex]

Substitute the  value of [tex]h, k, x, y[/tex] in equation [tex](i)[/tex] and find the value of [tex]a.[/tex]

  [tex]21=a(8-0)^2+35[/tex]

[tex]\Rightarrow 21=a\times 8^2+35[/tex]

[tex]\Rightarrow 21=64a+35[/tex]

[tex]\Rightarrow 64a=21-35[/tex]

[tex]\Rightarrow 64a=-14[/tex]

[tex]\Rightarrow a=\frac{-14}{65}[/tex]

[tex]\Rightarrow a=-0.215[/tex]

Hence, the equation of the parabola is:

[tex]y=-0.215x^2+35[/tex]

-3a + 4 = -14
What the answer to this

Answers

Answer:

-6

Step-by-step explanation:

-3a + 4 = -14

-3a = -14 - 4

-3a = -18

a = -18 / 3

a = -6

Answer:

a = 6

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

-3a + 4 - 4 = -14 - 4

+4 and -4 cancel out.

Step 2: Subtract 4 from -14 to get -18.

-3a = -18

Step 3: Divide both sides by -3.

a = -18/-3

Step 4: Divide -18 by -3 to get 6.

a = 6

Let's check our work by substituting a for 6.

-3(6) + 4 = -14

Multiply -3 by 6 to get -18.

-18 + 4 = -14

Add -18 and 4 to get -14.

-14 = -14

This is true, so a = 6.

i need help pls help me

Answers

Answer:

yes

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

you have to multiply 2/3 by 27 km

2 2/3 x 1 1/8
Multiply mixed fractions

Answers

Answer:

3

Step-by-step explanation:

Hello :)
Please help me solve this

Explain answer

Answers

Answer:

[tex]Scale\ Factor = \frac{1}{2}[/tex]

ABC dilated

Step-by-step explanation:

Given

Triangles ABC and DEF

Required

Determine the scale of dilation

First, we pick a side on ABC

[tex]AB = 6[/tex]

Pick a corresponding side on DEF

[tex]DE = 3[/tex]

The scale factor is then calculated as:

[tex]Scale\ Factor = \frac{DE}{AB}[/tex]

[tex]Scale\ Factor = \frac{1}{2}[/tex]

i.e. ABC was dilated by 1/2

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