Mathematics High School

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:

We know the distance (d) equation in terms of rate (r) and time (t) as:

d=rt

Step-by-step explanation:

We have given d=336 km and t= 12 hours, so we have: 336 km = 12t <-- this is our equation.

Divide each side by 12 to solve for t:

12t/12=336/12

t= 28 km/ hour

Related Questions

Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Answers

Answer:

x ≈ 9.5 , y ≈ 15.3

Step-by-step explanation:

sin32° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{18}[/tex] ( multiply both sides by 18 )

18 × sin32° = x , then

x ≈ 9.5 ( to the nearest tenth )

cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{18}[/tex] ( multiply both sides by 18 )

18 × cos32° = y , then

y ≈ 15.3 ( to the nearest tenth )

Plz help me answer this!!

Answers

Answer:

answer a

Step-by-step explanation:

the first graph

Find the perimeter of the shape

Answers

Answer:    21

Step-by-step explanation:

add all the numbers together as many times as they are shown on the shape so 2.8=4 times

1.4= 2 times

and 3.5= 2 times

Find the slope of the line through the pair of points (-6,-5) and (-2,6)

Answers

Answer:

11/4

Step-by-step explanation:

Hi!
The slope is change in y over the change in x.
So... 6-(-5) over -2-(-6).
It is 11 over 4.
The slope of the line is 11/4.
Hope this helps :)

which of the three curves drawn matches the graph of y = 2x 2 + x

Answers

Can’t see the curves!

please help I'm timed

Answers

Answer:

60 students-530 Question 1.

Step-by-step explanation:

Please help will give brainliest

Answers

Answer:

24 because 6 times 4 equal 24 and thats the area

Step-by-step explanation:

Laura and martin obtain a 25 year 160,000 conventional mortgage at 10.5% on a house selling for 190,000. Their monthly payment, including principal and interest, is $1510.40

Answers

Complete question :

Laura and Martin obtain a 30-year, $180,000 conventional mortgage at 10.0% on a house selling for $210,000. Their monthly mortgage payment, including principal and interest, is $1566.00. Determine the total amount they will pay for their house. How much of the cost will be interest? How much of the first payment on the mortgage is applied to the principal?

Answer:

$563760 ; $383760 ; $66

Step-by-step explanation:

Given that:

Monthly mortgage payment = $1566

Period = 30 years

Number of months in period = (30 * 12) = 360

Principal = $180,000

1.)

Total amount paid :

Monthly payment * period

$1566 * 360 = $563760

2.)

Total amount paid = Principal + Interest

Interest = Total amount paid - principal

Interest = $563760 - $180000

Interest = $383760

3)

First payment = 1566

Interest rate = 10% per annum = 0.1 / 12 = 0.0083333

monthly interest: 180,000 * 0.0083333 = 1500

Principal = 1566 - 1500 = $66

Find the shaded area. Round to the nearest tenth if necessary. 22 mm 18 mm 9 mm​

Answers

Answer:

please send the figure.

Find the value of x in the triangle shown below.
2
7
x

Answers

Answer:

[tex] {2}^{2} + {x}^{2} = {7}^{2} \\ {x}^{2} = 49 - 4 \\ x = \sqrt{45} \\ x = 6.708[/tex]

Answer:

By using Pythagoras theorem we get

H²=p²+b²

7²=2²+x²

X²=7²-2²

X=√(49-4)=√45=3√5

Step-by-step explanation:

The author also uses _________ to describe the building and to give the reader a sense of "forbidding" or imposing fear.

repetition
imagery
irony
personification

Answers

Answer:

Imagery

How:

By describing the building through imagery, explaining it's appearance/past/history/story (and assuming it's bad), gives the listener a feeling of "forbidding" or imposing fear.

DEFINITIONS:

Forbidding: Unfriendly or threatening in appearance.

Imposing fear: Someone noticeably feared by something/someone.

There are TWO pictures here. Please show work

Answers

4x+y=33
X+y=12
Get the y alone, so subtract x by each side to get y= -x+12

Then fill in the equation: 4x + (-x+12)=33, remove the parenthesis and solve to get 3x+12=33. Then subtract 12 from both sides to get 3x=21. Now divide 3x from both sides to get x=7 now, use this x answer for the previous equation, x+y=12. Fill in the x so now it’s (7) + y=12
And then subtract 7 from both sides to get y=5. So for the first slide, x=7 and y=5

For the next slide, you already have y= -x+15. Fill this in for the equation 3x+2y=36. 3x+2(-x+15)=36 distribute to get 3x+-2x+30=36. Subtract the x’s to get an equation of x+30=36. Subtract 30 from both sides to get x=6 and use this for the other equation, y= -x+15 to get y= -6 + 15, which equals y=9. x=6 and y=9
I hope this helped!

4. An extension ladder is leaned up against a building to reach a window that is 16.1 feet
from the ground. The base of the ladder is 10 ft from the building.
a How long is the ladder if it is fully extended?
b. What is the angle that the ladder makes with the ground?
C. What is the angle of the ladder with the building?

Answers

Answer:

a) ~18.95ft

b) ~58°

c) ~32°

Match the reason with the statements please. Thank you!

Answers

Answer:

st 1 _ r 3

st 2 _ r 1

st 3 _ r 2

st 4 _ r 4

Yolanda decides the length of her square vegetable garden will be 17 ft. she calculates that the area of the garden is 34 ft squared 2. Determine if Yolanda's calculation is correct. Explain.

Answers

Answer: That is incorrect because the garden will be 17 ft by 17 ft meaning it will be 289 square feet.

Step-by-step explanation:

What is The equation of a circle with radius, r= 4, and the center at (0, 0)?

Answers

Answer:

x^2+y^2=16

Step-by-step explanation:

i think so

In Ms. Perron’s class, 25% of the class are boys. There are 6 boys in the class. What is the total number of students in Ms. Perron’s class?

Answers

Answer:

24

Step-by-step explanation:

25%= 1/4 of the class

1/4 *x=6

x=24

6 / x = 25% / 100%

6 multiplied by 100 = 600
600 divided by 25 = 24

Ms. Perron has 24 kids in her class.

Explanation: 25% of 24 is 6.

a street sign is 88 inches tall how tall is it in feet and inches​

Answers

1 ft=12 in
7x12=84
88-84=4
Answer:7ft 4 in

Write an equation that represents the line.
Use exact numbers.

Answers

y = 3/4x + 2
The slope is 3/4 and y intercept is 2
equation:

y=3/4x + 2

explanation:
when writing an equation for a linear graph finding the slope, you always wanna use the equation y=mx + b. b represents the y- intercept, m represents the slope.

in this equation the slope is 3/4 and you can find this by finding two “friendly points” which are basically points that are exactly on the in between part between 4 cubes. an example of two friendly points on this graph you can use to find the slope are (0,2) and (4,5). to find the slope using these points, count how many spaces are up and then to the right to get to the point. when writing the slope, the number of spaces up goes on top of the amount of spaces to the side. here it is 3 up and 4 to the side, meaning it will be 3/4.

put it all together you get y= 3/4x +2

if you find this helpful, would you mind giving brainliest?

Lyla has $1 and 5 dimes in her pile. Harrison has 15 dimes in his pile. If Lyla gives Harrison $1 and
Harrison gives Lyla 10 dimes, will the two piles still be equal in value? Explain.
Select the correct choice below and fill in the answer boxes to complete your choice.

Answers

Answer:

yes, they will be equal

Step-by-step explanation:

I think they will be equal, because 10 dimes=$1

does anyone know the answer??

Answers

Answer:

rational

Step-by-step explanation:

Any rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

Given

[tex]\sqrt{4}[/tex] = - 2 or + 2

Since - 2 =  [tex]\frac{-2}{1}[/tex] and 2 = [tex]\frac{2}{1}[/tex] ← both in rational form, then

[tex]\sqrt{4}[/tex] is rational

Find the area of a circle with radius 36 cm. Use = 3.14.
A.226.08 cm
B.2,034. 72 cm?
C.4069. 44 cm
D.8,138.88 cm?​

Answers

Answer:

4071.5cm²

i'm sorry if this is wrong is it supposed to be the EXACT number?.

The letters N, T, and O are arranged in a random order. What is the probability that the arrangement spells a three-letter word.

Express your answer as a simplified fraction.

Answers

Answer:

1/3

Step-by-step explanation:

Three letters can be arranged in:

3! = 6 ways

We can spell two words from using the letters N, T, O:

"Not" and "Ton"

So there are 2 favorable outcomes out of 6 total outcomes:

P(3-letter word) = 2/6 = 1/3

Answer:

probability of getting I letter word =1/3

*ANSWER ASAP* how many times greater is 9 times 10^(5) than 8 times 10^(2)

Answers

9*10^5/8*10^2, apply the quotient exponenet laws to the 10’s with the powers.
9*10^3/8=9000/8=1125

Select all the true statements.




(1048 – 876) ÷ 4 is four times as large as (1048 – 876).


(1048 – 876) + 24 is 24 times as large as (1048 – 876).


(1048 – 876) – 17 is seventeen less than (1048 – 876).


1/2 × (1048 – 876) is half as large as (1048 – 876).


(1048 – 876) × 4 is four more than (1048 – 876).

Answers

Answer:

C and D are are the true statements

Fastttt I have 2 more mins please someone answer

Answers

Answer:

Step-by-step explanation:

is 50

360-230=130

180-130=50

Expert Help Please If AD=23 and BC=46, find EF.
Geometry!

Answers

Answer:

69

Step-by-step explanation:

If 46-26 =26 then 46+26=69.

I did not get the right answer, please help.​

Answers

Answer:frfr it made hard

Step-by-step explanation:

Davindra made a paper box that is 8 in. Long, 5 in. Wide, and 1 in. High. It is shaped like a rectangular prism. What is the surface area of the box? *

Answers

Answer:

106 in²

Step-by-step explanation:

Given that :

Davindra made a paper box that is 8 in. Long, 5 in. Wide, and 1 in. High.

Using the relation :

SA=2lw+2lh+2hw

Surface area :

2(lw + lh + hw)

l = 8 ; w = 5 ; h = 1

Surface area :

2(8*5 + 8*1 + 1*5)

Surface area :

2(40 + 8 + 5)

= 2(53)

= 106 in²

Use synthetic division to find the result
when (x3 - 2x2 - 19x + 20) is divided by (x +
4).

Answers

Answer:

x^2 - 4x - 3 + 28/x+4

Step-by-step explanation:

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