Mathematics High School

A canoe travels 4 miles per hour downstream and 2 miles per hour upstream.
Let x represent the canoe's speed with no water current (still water) and y
represent the speed of the water current, in miles per hour. Then the situation
can be represented by this system of equations:
Choose the two correct options.
x + y = 4
x - y = 2
A. The speed of the water current is 1 mile per hour.
B. The speed of the canoe in still water is 3 miles per hour.
C. The speed of the canoe in still water is 1 mile per hour.
D. The speed of the water current is 3 miles per hour.

Answers

Answer 1

Answer:

A, B

Step-by-step explanation:

Given the system of equations, we should first solve for x and y so we can answer this question:

equation 1: x + y = 4, equation 2: x - y = 2 ⇒ add both equations together

x + y + x - y = 4 + 2 ⇒ combine like terms

2x + 0y = 6 ⇒ divide both sides by 2

x = 3 ⇒ plug into the x + y = 4 equation to solve for y

3 + y = 4 ⇒ subtract 3 from both sides

y = 4 - 3 = 1

Since we know y is the speed of the water current and x is the canoe's still water speed, we know that the water current's speed is 1 mph and the canoe's still water speed is 3 mph

This corresponds with choices A and B

Related Questions

Find the value of x.

Answers

Answer:

x = 30°

Step-by-step explanation:

< A = 90° {Being vertically opposite angles }

Now

x + 90° + 2x = 180° (Being linear pair)

3x = 180° - 90°

3x = 90°

x = 90° / 3

x = 30°

Hope it will help :)❤

David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

17.9 feet
18.2 feet
18.7 feet
19.1 feet

Answers

The answer is 18.2 feet that is the right answer

Answer:

The correct answer is 19.1 feet

Step-by-step explanation:

I took the test and got it right (see the attachment below)

product of 2 and the difference between 20 and 1 is 14

Answers

Answer:? Okkkkk

Step-by-step explanation:

Lol

HELP! i don’t understand and it’s due today.

Answers

Answer:C

Step-by-step explanation:sorry if i get it wrong

Answer:

Step-by-step explanation:

SOMEONEEEE HELLPPPPPPP PLEASE?!??!

Answers

Answer:

(1,4)

Step-by-step explanation:

the Answer is: (x,y)=(1,4)

a system of equations is shown below 7x + 3y= 22. 3x - 3y =18 what is the solution to the system of equations

Answers

4,-2

distribute and combine like terms

Answer:

(4, -2)

Step-by-step explanation:

7x+3y= 22

3x-3y= 18

Add them in vertical columns. 7x + 3x = 10x. The 3y and the -3y cancel each other out. 22+ 18 = 40.

You're left with 10x = 40. Solve for x by dividing both sides by 10

x = 4

Plug in 4 into any of the original equations and solve for y.

7(4) + 3y =22.

28 + 3y =22

Subtract 28 on both sides

You're let with 3y = -6. Solve for y by dividing both sides by 3

y= -2

Put it together in coordinate point form. (4, -2)

I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

Yes That Is Correct!

Step-by-step explanation:

If all three pairs of corresponding sides are congruent, the triangles are congruent. This congruence shortcut is known as side-side-side (SSS).

BEST OF LUCK IN MATH!

can someone please answer this for me

Answers

4+(3 times x)= height of balloon. x = seconds
i hope this helps!:)

Find the area of each figure. Pls, this is urgent, I will award brainliest.

Answers

Answer:

The area of the figure is;

A = 2,112 in²

Step-by-step explanation:

The given figure is a composite figure consisting of a rectangle AINE and a triangle AIL

The dimensions of the rectangle AINE are;

Length, L = 48 in.

Height, h = 32 in.

The area of the rectangle AINE, A₁ = Length, L × Height, h

∴ A = L × h = 48 in. × 32 in. = 1,536 in.²

The area of the triangle AIL, A₂ = 1/2 × Base × Height of the triangle

The base length of the triangle, L = IA = 48 in.

The height of the triangle, ht = 12 in.

∴ A₂ = L × ht

A₂ = 48 in. × 12 in. = 576 in.²

The area of the triangle AIL, A₂ = 576 in.²

The area of the figure, A = The area of the rectangle, A₁ + The area of the triangle, A₂

A = A₁ + A₂

∴ A = 1,536 in.² + 576 in.² = 2,112 in.²

The area of the figure, A = 2,112 in².

Two bottles and their labels are mathematically similar.
The smaller bottle contains 0.512 litres of water and has a label with area 96 cm².
The larger bottle contains 1 litre of water.
Calculate the area of the larger label.

Answers

Answer:

The area of the larger label is 187.5 square centimeters.

Step-by-step explanation:

If the two bottles are mathematically similar, then the label area is directly proportional to the capacity of the bottle. If we know that a 0.512 L-bottle has a label area of 96 square centimeters, then the label area of a 1-L bottle is determined by this simple rule of three:

[tex]x = 96\,cm^{2}\times \frac{1\,L}{0.512\,L}[/tex]

[tex]x = 187.5\,cm^{2}[/tex]

The area of the larger label is 187.5 square centimeters.

Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

5 days

Step-by-step explanation:

1.5/5=7.5

Hope this helps!

Use the order of operations to simplify the following expression.

9 + - 4 × 2

41
10
28
90

Answers

The answer I keep getting is 1

so
9 + √ 81 which is 9
= 9 + 9
= 18
18 - 4 x 2
4 x 2 = 8
= 18 - 8
therefore
9 + √81 - 4 × 2
= 10
answer is 10

What is the solution to 3x+2.42 3.0?

Answers

Answer:

x = 0.2

Step-by-step explanation:

The slope of a line can tell you
Choose all that apply.*
how steep the line is.
the length of the line.
if the line is positive or negative
plsss help

Answers

I pretty sure all of them are right i study this a couple years ago

can i get help please so much :)

Answers

Mean = 76.57
Median =75
Mode= 75
Range= 49

Answer:

Mean: 76.6 (rounded the original number- 76.571)

Median: 75

Mode: 75

Range: 49

Standard Deviation: 14.50 (i round it, original number- 14.4504)

Step-by-step explanation:

I calculated everything, please lemme know if any of it is wrong!

Can someone help me on this plzzzz

Answers

Answer:

Im not sure which grade you are in, but im gonna say 12? Im pretty sure

Step-by-step explanation:

Can Somebody answer this real fast?

Answers

Answer:

The answer is 6

Step-by-step explanation:

...........

0.96÷104 i dont have big brain

Answers

Answer:

0.00923077

Step-by-step explanation:

thats it

Answer:

Your answer is 0.000096 if your question was 0.96÷10 with a power of 4.

WILL GIVE BRAINLIEST TO BEST ANSWER PLEASE HELP

Answers

Answer A

Formula I=p r t

COPPER:
($1500)(0.07)(3)
=315
TRINITY
($1800)(0.06)(3)
=324

Find h.(Type your answer in simplest radical form)

Answers

9514 1404 393

Answer:

(x, y) = (8, 2)

Step-by-step explanation:

Using the geometric mean rules for this geometry, we have ...

h = √(4·32) = 8√2

and also ...

a = √(4·36) = 12

b = √(32·36) = 24√2

For the problem at hand, ...

h = 8√2 = x√y ⇒ x = 8, y = 2

What are the coordinates of the outlier in this scatter plot?

A: (2, 1)
B: (4, 11)
C: (17, 11)
D: There is no outlier in this scatter plot.

Answers

B (4,11) if you look at the graph it’s the only coordinate furthest away from your data.

Help please!!! I need that answer fast

Answers

Answer:

Step-by-step explanation:

Solve the system by substitution y=2x-7 -6x+7y=15

HELP PLEASEEEE

Answers

Answer:

x=8 y=9

Step-by-step explanation:

Answer:

−

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into the other equation.

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Subtract

from both sides.

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Divide both sides by

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in the first equation.

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Check by substituting

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and

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into both equations.

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Sorry if I'm wrong

can someone help me immediately!! i’m not even joking i need ur help now. DO NOT GUESS OR LEAVE A LINK. correct answer gets brainiest

Answers

Answer:

Step-by-step explanation:

. The liver regulates most chemical levels in the blood and excretes a product called bile. This helps carry away waste products from the liver. All the blood leaving the stomach and intestines passes through the liver.

No files!!! A expert or somebody pls help with me!!! Math.

Answers

Answer:

Number 3 is c)6.28cm

Number 4 is b)20.94

Number 5 is b)12.56m2

. A movie company sells DVDs on line. Each
DVD costs $9.95. No matter how many you
order, the shipping charge is $3.59. Your most
recent order came to a total of $33.44.

Please help on all questions in picture

Answers

Multiply by cost of a dvd by the number of dvds bought ( x) and add the shipping charge.

A) 33.44 = 9.95x + 3.59

Subtract 3.59 from both sides.

29.85 = 9.95x

Divide both sides by 9.95

X = 29.85/9.95

X = 3

They bought 3 dvds.

B) 33.49-3.59 = 29.85

29.85/9.95 = 3

C) the steps were the same but solving arithmetic you didn’t have to do steps on both sides of an equation.

Find the area of the semicircle

Answers

Answer:

3.92yd

Step-by-step explanation:

pi r²÷2

pi 2.5²÷2=3.92

A negative number with an absolute value less than 4.

Answers

Answer:

-3, -2, or -1

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

The first one.

Step-by-step explanation:

1. 2,500,000

2. 360,000

The equation h=4+7t can be used to determine the height of a flag (h, In feet) after t seconds.
A) What Is the starting height of this flag?
B) What Is the speed of this flag?

Answers

Answer:

Step-by-step explanation:

Part A

The starting height of the flag occurs when t = 0

h = 4 + 7*0

h = 4

So the starting height is 4 feet.

Part B

The speed of the flag is the slope of the line which is 7. So every second the flag is ascending, the flag goes up 7 feet per second.

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