A canoe travels 8 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:
X+ y = 8
x - y = 2
Choose the two correct options.
A. The speed of the canoe in still water is 3 miles per hour.
B. The speed of the water current is 5 miles per hour.
C. The speed of the water current is 3 miles per hour.
D. The speed of the canoe in still water is 5 miles per hour.

Answer:

$72.75

Step-by-step explanation:

15% of $85 is $12.75

$85 - $12.75 = $72.25

Answer:

360

Step-by-step explanation:

Answer:

360 quarts

Step-by-step explanation:

300/10=30

30*12=360

Answer:

8y⁴+25y³+60y²+10y+7

Step-by-step explanation:

8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7

8y⁴+25y³+60y²+10y+7

Answer:

8y^4+25y^3+60y^2+10y+7

Step-by-step explanation:

(y^2+3y+7)(8y^2+y+1)

We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)

8y^4+y^3+y^2

now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))

24y^3+3y^2+3y

now we do the same to the last term, 7.

56y^2+7y+7

now we need to add all three of our products together

(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)

adding like terms:

8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7

we get:

8y^4+25y^3+60y^2+10y+7

Answer:

Step-by-step explanation:

5x - 12 = 3x + 30

5x - 3x = 30 + 12

2x = 42

x = 21

---------------------

check

5 * 21 - 12 = 3 * 21 + 30

93 = 93

the answer is good

Answer:

$170

Step-by-step explanation:

Answer:

339,006 that's the answer

Answer:

Step-by-step explanation:

4/50 = 0.08

0.08(100) = 8%

Answer:

[tex]A = 25\pi[/tex]  or  25 × 3.14 = 78.5m

Step-by-step explanation:

The radius is half of the diameter. So the radius = 5m  (10/2)

[tex]A = \pi r^{2}[/tex]

[tex]A = \pi (5^{2} )[/tex]

[tex]A = 25\pi[/tex]

[tex]3 \times 25\% \times 40 = 3 \times \dfrac{25}{100} \times 40 = 3 \times 10 =30[/tex]

The value of the numerical expression 3 × 25% × 40 will be 30.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 3 × 25% × 40

Simplify the expression, then the value of the expression will be given as,

⇒ 3 × 25% × 40

⇒ 3 × 0.25 × 40

⇒ 30

The value of the numerical expression 3 × 25% × 40 will be 30.

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Answer:

-0.366666666667

Step-by-step explanation:

that's what you get when you divide -22/5 (-4 2/5) by 4/3 (1 1/3)

Answer:

-24/5 is the correct answer.

Steps:

1) -4 x 2/5 = -8/5

2) 1 x 1/3 = 1/3

3) -8/5 : 1/3 = -24/5

Answer:

x=11

Step-by-step explanation:

We know that angles on a straight line equal 180 degrees, so we know that 8x+10+7x+5 = 180.

Simplify

15x+15=180

Solve

Take away 15 from both sides

15x = 165

Divide 165 by 15

x = 11

Answer:

1

Step-by-step explanation:

because... it is

Answer:

B) -g/-h

Step-by-step explanation:

-g/-h=g/h

Rewrite the fraction.

-(-g/h) = g/h

Hope this helps :)

Answer:

8*8 *2=64

8*19 *2=304

8*19*2=304

672units is your answer

The surface area of the rectangular prism below is 736 square units

The formula for calculating the surface area of the rectangular prism is expressed as:

A = 2(lw + wh + lh)

Given the following parameters

l = 8

w = 19

h = 8

Substitute

SA = 2(8(19) + 8(19) + 8(8))

SA = 2(152 + 152 +64)

SA = 2(304+ 64)

SA = 2(368)

SA = 736 square units

Hence the surface area of the rectangular prism below is 736 square units

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Answer:

Step-by-step explanation: 56

Answer:

Sorry need points

Step-by-step explanation:

The coordinates of the six vertices of the prism are listed below:

The number of vertices of a prism with a polygonal base ([tex]n[/tex]) is described by the following expression:

[tex]n = 2\cdot s[/tex] (1)

Where [tex]s[/tex] is the number of sides of the base.

If we know that [tex]s = 3[/tex], then the number of vertices of the prism are:

[tex]n = 2\cdot 3[/tex]

[tex]n = 6[/tex]

A prism with triangular base has six vertices, let suppose that the triangle of the base is right-angled. and coincides with a right-hand rectangular coordinate system. Then, we can conclude that the coordinates of the six vertices are the following:

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Step-by-step explanation:

First, you need to calculate how much they will earn per hour by multiplying their raise per hour by there hours and adding it to their earnings divided by the hours worked. Then, whoever's is the highest will be the answer.

Hanna will earn more per hour after the raise, with an hourly rate of $10.75 compared to Dien's hourly rate of $10.60.

A division is a process of splitting a specific amount into equal parts.

To find the new earnings per hour for Hanna and Dien

Divide their total earnings after the raise by the total number of hours they worked after the raise.

The raise per hour is already given, so we can simply add it to their old hourly rate.

For Hanna, her new hourly rate would be:

(New earnings) / (Hours worked) = (78 + 8) / 8

= 86 / 8

= $10.75

This means that Hanna will earn $10.75 per hour after the raise.

For Dien, his new hourly rate would be:

(New earnings) / (Hours worked) = (60.60 + 3) / 6

= 63.60 / 6

= $10.60

This means that Dien will earn $10.60 per hour after the raise.

Therefore,  Hanna will earn more per hour after the raise, with an hourly rate of $10.75 compared to Dien's hourly rate of $10.60.

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Yes, 3 divides 27,333. We have

27,333 = 27,000 + 333

… = 27•1,000 + 333

… = 3•9•1,000 + 3•111

… = 3•(9•1,000 + 111)

… = 3•(9,000 + 111)

… = 3•9,111

Answer:

b=114

c=43................

Answer:

The slope of the function represents how much the function rises per amount that it moves horizontally.

Step-by-step explanation:

Answer:

Part A: b < 28

Part D: n < 56

Step-by-step explanation:

part A: divide each term in  and simplify.

Inequality Form: b < 28

part d: this is already solved but can be shown in multiple forms.

Inequality Form: n < 56

Interval Notation: ( -∞ , 56)

Answer:

Your question is a little unclear if it wants meters or feet because it has everything listed in nicely feet then you say "(in meters)" at the bottom.

If it wants feet, the answer is

[tex]s=-16t^2+80t+10[/tex]

If it wants meters, the answer is

[tex]s=-4.8768t^2+24.384t+3.048[/tex]

Step-by-step explanation:

To solve, use the quadratic equation.

[tex]y=ax^2+bx+c[/tex]

It wants the x-axis to represent time (t) and the y-axis to represent position (s)

[tex]s=at^2+bt+c[/tex]

It gives us a formula that tells us what a, b, and c equal.

[tex]s=(-1/2)gt^2+v_0t+s_0[/tex]    where g is gravity, v_0 is the initial velocity, and s_0 is the initial starting position.

From here, it is just a plug and chug to get the final answer.

[tex]s=(-1/2)(32)t^2+80t+10\\s=-16t^2+80t+10[/tex]

If it wants everything in meters, just convert feet to meters at every step. You can search to find that 1 meter=3.28084 feet.

Answer: 2/3 (answer in decimal form = 0.6)

Step-by-step explanation: The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Then do the rest of the operations.

Answer: 8/3

You first do 4x2 than you would have to divide by 3. 4x2*3

The number of cups of warm water need for 2/3 cup of soap to make solution is [tex]5\frac{1}{3}[/tex]. Therefore, option C is the correct answer.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, a bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap.

Let the number of cups of warm water need for 2/3 cup of soap be x.

Now, the proportion is

4:1/2 :: x:2/3

1/2 x=4×2/3

x/2=8/3

x=16/3

x= [tex]5\frac{1}{3}[/tex]

Therefore, option C is the correct answer.

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Answer:

3/151

Step-by-step explanation:

That's the answer

Answer:

The first amendment to the Constitution, which is actually a group of ten commandments

Step-by-step explanation:

The first amendment to the Constitution is actually a group of ten amendments called the Bill of Rights. The Bill of Rights guarantees all Americans certain freedoms, such as freedom of religion, freedom of the press, freedom of speech, the right to bear arms, and the right to a fair trial.

Answer:

8 apples

4 bananas

Step-by-step explanation:

8 apples (8$)

4 bananas (4$)

12 total

10 $ total

hope it helps