A boat travelled 336 km downstream with the current. The trip downstream took 12 hours.
a) Come up with an equation to describe this relationship
b) If the current is moving at 2 km/h, how fast is the boat moving from its engine?

Answers

Answer 1

Answer:

When travelling downstream, the speed of the boat and the current add up.

Let the speed of the boat is b and the speed of the current is c.

Use distance formula:

d = st, d-distance, s- speed, t- time

a)

Then we have equation:

12(b + c) = 336

b)

If c = 2, then the equation is:

12(b + 2) = 336b + 2 = 28b = 26 km/h


Related Questions

Corey needs at least 2 gallons of paint to make a mural. If Corey has 6 quarts and 3 pints of paint, will he be able to make a mural?

Answers

Answer:

no

Step-by-step explanation:

4 quarts = 1 gallon, so he would have 1.5 gallons.

8 pints = 1 gallon, he would need 4 pints to have 2 gallons

Answer:

No he will not.

Step-by-step explanation:

6 quarts to a gallon is 1.5

3 pints to a gallon is 0.375

you add those together you get 1.875 not 2

What’s the answer!???

Answers

answer is $30

looks like u cheating

what is 5 times a number minus 3 is 12 ?​

Answers

Answer:

5*x-3=12

the number is 3 because 5*3=15 and 15-3=12

Answer:

3

Step-by-step explanation:

x - 3 = 12

12 + 3 = 15

15 - 3 = 12

5( ? ) = 15

15/5

? = 3

5(3) = 15 - 3 = 12

Hope this helps dude

Determine if the sequence is geometric. If it is, find the common ratio. ( -4, 12, -36, 108, ... )

Answers

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3

-8x+2<114
Make sure to type “x” and the the inequality symbol “<,>,<_,_>”

Answers

Your answer is -14
Hope this helped


Solve for the missing angle:

A 41 degrees
B 108 degrees
C 82 degrees
D 298 degrees

Answers

41 is the only reasonable answer

Divide 45 pens between devika bhoomika in the ratio 4:5​

Answers

Answer:

20:25

Step-by-step explanation:

add how many parts (4+5=9)

45/9=5

4*5=20, 5*5=25

therefore, 20:25

write the expression in exponential form.

Answers

Answer:

[tex] \sqrt[7]{ {x}^{2} } [/tex]

Step-by-step explanation:

can be rewrite as

[tex] \sqrt[n]{a} {2}[/tex]

so x

[tex] {x}^{2 \div 7} [/tex]

In the diagram, the measures of 22, 23 and 26 are 40°. The measure of 21
is 140°. Are lines cand d parallel?

Answers

Answer:

c. Yes because ∠2 and ∠6 are congruent.

Step-by-step explanation:

From the picture attached,

m(∠2) = m(∠3) = m(∠6) = 40°

m(∠1) = 140°

Since (∠2 ≅ ∠6) (corresponding angles)

Therefore, by the converse theorem of corresponding angles lines c and d are parallel.

Option c is the answer.

What is the formula for the volume of a sphere?
V=(1/3)*(π)*(r*r)*(h)
V=π*r*r*h
V=b*l*h
V=(4/3)*(π)*(r*r*r)

Answers

Answer:

D,

Step-by-step explanation:

the volume of a sphere is 4/3πr^3

Please Help!!! Find the approximate volume by using 3.14 (not the pi key) Round to the nearest hundredth when necessary show your work!

Answers

give me 1 sec i will send it over

The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

What is volume?

Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.

How to calculate volume?

We have been given two cones. First is having radius of 7 mi and

height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.

Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]

=(49*3.14*14)/3

=708.86

Approximately 709 [tex]mi^{3}[/tex]

Volume of second cone =1/3π[tex]5^{2} *10[/tex]

=(25*3.14*10)/3

=261.67

Approximately 262 [tex]cm^{3}[/tex].

Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Learn more about volume at https://brainly.com/question/463363

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Need help ill give brainliest to the correct answer

Answers

Answer:

i think that the answer is y = 3x- 1

Whats 1+1 and 2+2 and 3+7 I’m in the first grade

Answers

Answer:

1 answer is 2

2 answer 4

3 answer 10

Step-by-step explanation:

Add 1+1

get 2

Add 2+2

get 4

Add 3+7

get 10

Consider the rectangle. Which pair of expressions represents the perimeter of the rectangle?
PLEASE HELP!!!

Answers

Answer:

6x + 2 and 2x + (x + 1) + 2x + (x + 1)

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = 2x

Width = x + 1

Perimeter of a rectangle = 2(length + width)

= 2{2x + (x + 1)}

= 2(2x + x + 1)

= 2(3x + 1)

= 6x + 2

Perimeter = length + width + length + width

= 2x + (x + 1) + 2x + (x + 1)

Help me out please an thank you

Answers

Answer:

Answer is D

Step-by-step explanation:

because its sideways its x = y^2

and because its facing right its positive.

What is the volume of a sphere with a radius of 6.9 ft

Answers

V=4/3 π•r^3
r=6.9 ft
V=4/3 π• (6.9)^3
V=4/3 π • 328.509 ft^3
V= π•438.012 ft^3
V= 1,375.35768 ft^3
V~ 1,375 ft^3

Will give brainliest IF the answer is right and u have a explanation

Answers

Answer:

True

Step-by-step explanation:

If any number is multiplied by a negative in this case, the answer will of course be negative

i’m confused on how to do this

Answers

Answer:

68°

Step-by-step explanation:

The sum of all internal angles of a circle always total 360°.

So, we can add the three angles (ADB, BDC, ADC) and equate them to 360°.

90 + (2x+1) + (2x-3) = 360

90 + 4x -2 = 360

4x - 2 = 360 - 90

4x - 2 = 270

4x = 272

x = 272/4

x = 68°

From here, you can find any of the two unknown angles by simply plugging in x = 68°.

Feel free to ask me if you didn't understand any part :D

Hope this helps!

Alexa wants to purchase some new supplies for making jewelry

Answers

Answer:

B A A

Step-by-step explanation:

pls i need help is dis qs :(

Answers

Answer:

Step-by-step explanation:

Fig 1

<f=180-2×30=180-60=120

<D and <E are base angle of isosceles triangle.

Fig 2

AB=AC=BC=8

All the side of equilateral are equal and all interior angle also equal.

Answer:

Step-by-step explanation:

a) ΔFED is isosceles triangle. EF = ED

∠F = ∠D =x   {Angles opposite to equal sides are equal}

∠F + ∠E + ∠D = 180  {Angle sum property }

x  +x + 30 = 180

  2x + 30  = 180

           2x = 180 -30

           2x = 150

             x = 150/2

             x = 75

∠F = 75

b) All the angles are equal. So, it is an equilateral triangle. In equilateral triangle all sides are equal.

So, AB = 8

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Answers

1. 15 - 5 / 18 - 6 / 21 - 7 / 24 - 8 / 27 - 9 / 30 - 10

please help me i really need it

Answers

Answer:

top right is the hypotenuse, top left is a leg, bottom right is a leg

Step-by-step explanation:

Every triangle has 2 legs and 1 hypotenuse. The hypotenuse is always the longer side and across the 90 degree angle. All of the other sides would be called the legs because they are not the hypotenuse

What is the quotient? X+5√3x^2+4x+5 A.) 3x^2-11+60/x+5 B.) 3x-11+60/x+5 C.) 3x^2-11-50/x+5 D.) 3x-11-50/x+5 Please hurry this is timed!

Answers

Answer:

[tex]3x - 11[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex]

Required

Determine the quotient

First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder

Equate the denominator to 0.

[tex]x + 5 = 0[/tex]

[tex]x = -5[/tex]

Substitute -5 for x in the numerator

[tex]3x^2 + 4x + 5 = 3*(-5)^2 + 4 * (-5) + 5[/tex]

[tex]3x^2 + 4x + 5 = 60[/tex]

This means that it has a reminder of 60

To get the quotient, we subtract 60 from the numerator and evaluate

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex] becomes

[tex]\frac{3x^2 + 4x + 5 - 60}{x + 5}[/tex]

[tex]\frac{3x^2 + 4x - 55}{x + 5}[/tex]

Expand the numerator

[tex]\frac{3x^2 + 15x - 11x - 55}{x + 5}[/tex]

Factorize:

[tex]\frac{3x(x + 5) - 11(x + 5)}{x + 5}[/tex]

Factor out x + 5

[tex]\frac{(3x- 11)(x + 5)}{x + 5}[/tex]

Cancel out x + 5

[tex]3x - 11[/tex]

Hence, the quotient is [tex]3x - 11[/tex]

(4c+3d) - (6c-6d) - (3c-5d)
Simplify please <3

Answers

Answer:

Solution

−5+14

Step-by-step explanation:

Distribute

(4+3)−1(6−6)−1(3−5)

(4+3)−6+6−1(3−5)

Distribute

(4+3)−6+6−1(3−5)

(4+3)−6+6−3+5

(4c+3d) - (6c-6d) - (3c-5d) (4+3)−6+6−3+5

4+3−6+6−3+5

Combine like terms

4+3−6+6−3+5

−5+3+6+5

Combine like terms

−5+3+6+5

−5+14

Solution

−5+14

Leon got a reduction of $40 on a Geometry set
which was marked $480.
(a) What fraction was the reduction?
(b) What percentage was the reduction?
(c) What percentage of the cost did Leon
pay for the Geometry set?

Answers

I pretty sure this one is b
A) 40/480 reduced to 1/12

B) (1/12) x 100 = 8.33%

C) 100% - 8.33% = 91.67%

1. Let x= -2 and y= -5. (NC.7.NS.2) Which expression has a negative value? A. X+y B.X-y C.[x] [y] D. X/y

Answers

Answer:

A. X + Y

Step-by-step explanation:

From this question x = -2 and y = -5

We are to find out the expression that would give a negative value.

X+Y

(-2)+(-5)

+(-) gives a negative sign. So we have

= -2-5

= -7

For x - y

(-2) - (-5)

-(-) = positive

= -2 + 5

= 3.

For [x][y]

= (-2) x (-5)

= 10

since a negative sign multiplied with another negative sign gives a positive result

For X/Y

= -2/-5

= 2/5 the result here is positive because 2 negative signs when divided cancel out.

Therefore the answer is option A since it's result is negative. Others are positive

Find the surface area and volume of the prism.
5 cm
10 cm
4 cm
3 cm
cm?
The surface area of the prism is
The volume of the prism is
cm?

Answers

The surface area of the prism is 456cm² and the volume is 408cm³

What is a prism?

A prism is a solid shape that is bound on all its sides by plane faces. There are two types of faces in a prism. The top and bottom faces are identical and are called bases. A prism is named after the shape of these bases. For example, if a prism has a triangular base it is called a triangular prism.

here, we have,

The formula for the surface area of a prism is SA=2B+ph, where B, again, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.

Base area = 1/2× 8× 6

= 4×6 = 24 cm²

perimeter of the base = 6+8+10 = 24cm²

therefore SA = 2(24)+24×17

= 48+408

= 456cm²

Volume of the prism = base area × height

= 24 × 17

= 408cm³

learn more about prism from

brainly.com/question/23963432

#SPJ2

complete question:

attached

3
The grid shown below is in the shape of a rectangle.
What is the area, in square units, of the shaded part of the rectangle?
А.
14
B
24
С
28
D
48

Answers

Answer:

hello

Step-by-step explanation:

but dear where is the picture?

Express 0.0175 in scientific notation.

Answers

Answer:

Step-by-step explanation:

1.75 x 10^-2

Answer:To equal the original number, you would have to multiply 1.75 by 0.01 or 10-2. Therefore, the proper scientific notation for 0.0175 would be 1.75 x 10-2.

Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the school, what is the exact distance between Brent and school

Answers

Answer:

11.66 units

Step-by-step explanation:

Given that he walks 10 blocks north and then 6 blocks west..

When combined with the straight line to the school, this forms a right angled triangle with the straight line as the hypotenuse.

Hence, let the straight line be h

h^2 = 10^2 + 6^2 (using Pythagoras theorem)

h^2 = 100 + 36

h^2 = 136

h = √ 136

h = 11.66 units

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