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

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.

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)

. 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.

Help please!!! I need that answer fast

Answers

Answer:

Step-by-step explanation:

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

Can Somebody answer this real fast?

Answers

Answer:

The answer is 6

Step-by-step explanation:

...........

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

can someone please answer this for me

Answers

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

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!

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

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 :)❤

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.

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 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!

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.

A negative number with an absolute value less than 4.

Answers

Answer:

-3, -2, or -1

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:

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

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.

(

)

Subtract

from both sides.

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Check by substituting

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for

and

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into both equations.

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Sorry if I'm wrong

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)

What is the solution to 3x+2.42 3.0?

Answers

Answer:

x = 0.2

Step-by-step explanation:

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.

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

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:

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

Answers

Answer:? Okkkkk

Step-by-step explanation:

Lol

SOMEONEEEE HELLPPPPPPP PLEASE?!??!

Answers

Answer:

(1,4)

Step-by-step explanation:

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

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

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.

Find the area of the semicircle

Answers

Answer:

3.92yd

Step-by-step explanation:

pi r²÷2

pi 2.5²÷2=3.92

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.

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