Find the value of X. If necessary write in radical form

Answer:

x = 49 mi/hr

y = 6 mi/hr

Step-by-step explanation:

A motorboat travels 258mi in 6 hours going upstream. It travels 330mi going downstream in same amount of time. What's the rate of the boat in still water and what is the rate of the current.

Let

x = the speed of the boat in still water.

y = the speed of the stream

The speed upstream is x - y

The speed downstream is x + y

Distance = rate × time

258 = (x - y)6 (1)

330 = (x + y)6 (2)

From (1)

x - y = 43 (3)

From (2)

x + y = 55 (4)

x - y = 43 (3)

x + y = 55 (4)

Add the equations to eliminate y

x + x = 43 + 55

2x = 98

x = 98/2

x = 49 mi/hr

Substitute x = 49 into (4)

x + y = 55 (4)

49 + y = 55

y = 55 - 49

y = 6 mi/hr

Answer:

the top is right 2/5

Step-by-step explanation:

The probability is 3 / 10.

The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

7, 11, 12, 13, 14, 18, 21, 23, 27, and 29

So,

even numbers are = 12, 14, 18.

The probability of picking a card = 3 / 10

Learn more about probability here:

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Answer:

See attachment for grid

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-5,8)[/tex]

[tex](x_2,y_2) = (2,8)[/tex]

Required

Plot the points on a grid

To do this, we make use of a graph (there are several resources to do that online).

See attachment for plot

Answer:

4.

Step-by-step explanation:

Answer:

Evolution is the changes in organisms over ____millions of years_____

1: a month

2: tens of years

3: thousands of years

4: millions of years

Answer:

Step-by-step explanation:

10.6= 11 when rounded

Trust me po hehe

If Tony Stark could somehow add a 10% increase in his wealth to his current worth each year then the number of years will be 84 to reach T'Challa.

Exponential notation is a type of mathematical shorthand that allows us to express complex statements in a more concise manner. The basis of an exponent is a quantity or letter. It denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

In Marvel comics, T'Challa (aka The Black Panther) as the king of Wakanda is estimated to be worth 90 trillion dollars.

Tony Stark (aka Iron Man) is only worth about 30 billion dollars.

If Tony Stark could somehow add a 10% increase in his wealth to his current worth each year.

Let t be a number of the years.

Then the equation is given as

[tex]\rm 9 \times 10^{13} = 3 \times 10^{10} \times (1.10)^t[/tex]

Then the value of t will be

[tex]\rm 3000= (1.10)^t\\[/tex]

Taking log both sides, we have

t (ln 1.1) = ln 3000

         t = 84

More about the exponent link is given below.

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Answer:

125.6 cubic inches

Step-by-step explanation:

The formula for volume of a cylinder is:

[tex]V = \pi r^2h[/tex]

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So:

[tex]\pi[/tex] × 4 × 10 = 125.6

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Have a good day :)

Answer:

Disagree

Step-by-step explanation:

The surface area of the given prism consists of the following parts;

1) The area of the top and bottom right triangles, A₁, and A₂, which are given as follows;

A₁ = A₂ =  (1/2) × 5 × 12 = 30

2) The area of the left rectangle, A₃ = 5 × 8 = 40

3) The area of the rear rectangle, A₄ = 13 × 8 = 104

4) The area of the front rectangle, A₅ = 12 × 8 = 96

∴ A = A₁ + A₂ + A₃ + A₄ + A₅

A = 30 + 40 + 104 + 96 + 30 = 300

Jim B 65 + 65 + 104 + 96 + 40 = 370

The surface area of the triangular prism, A = 300 cm²

Jim-Bob's calculation contains two errors

1) 65 + 65 + 104 + 96 + 40 = 370 ≠ 270

2) The area surface area of the triangular prism = 300 cm² not 270 cm²  

and therefore, disagree with his calculation.

The Average Velocity (A.V) of car

is 8.33m/s .

This is a Right answer...

Answer:

4(2x+3)

Step-by-step explanation:

Because 4 is the GCF

Answer:

-1 & -2

Step-by-step explanation:

x²+3x+2

x²+2x+x+2

(x²+2x)+(x+2)

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

(x+1)(x+2)

Answer:

Encourage po

Step-by-step explanation:

Answer:

I think the answer is B because I've come across these kind of question and they add up to 180.

Answer:

yess it is by the benefactor

Step-by-step explanation:

Answer:

The length of the hypotenuse is the square root of 169, which in turn is 13.

Step-by-step explanation:

Here we have a right triangle with leg lengths 12 m and 5 m.  Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.

The Theorem states that a^2 + b^2 = c^2.  In this particular case,

(12 m)^2 + (5 m)^2 = c^2

which in turn becomes:

144 + 25 = 169.  The length of the hypotenuse is the square root of 169, which in turn is 13.

Answer:

1.) [tex]5x^{2} -7x+1[/tex]

2.)[tex]2(x^{2} -3x-3[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) ([tex]2x^{2}[/tex] - 9x + 4) + ([tex]3x^{2}[/tex] + 2x - 3)

= [tex]2x^{2}[/tex] - 9x + 4 + [tex]3x^{2}[/tex] + 2x - 3

= [tex]5x^{2}[/tex] - 7x - 1

2) [tex]x^{2}[/tex] - 4x - 3 + [tex]x^{2}[/tex] -2x - 3

= [tex]2x^{2}[/tex] - 6x - 6

Answer:

360 cm

Step-by-step explanation:

volume= length x width x height

8*5*9=360 cm

Answer:

360cm

Step-by-step explanation:

All you have to do is multiply the numbers.

To break it up, you can first multiply 8 and 5.

8 x 5 = 40.

Now that you have 40, multiply that by 9.

40 x 9 = 360.

Apply the unit: cm

360cm is your answer.

Answer:

9x - 1

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

missing length = perimeter - sum of the two sides

sum of the two sides = (5x -1) + (2x + 5) = 7x + 4

missing length = 16x + 3 - (7x + 4) = 9x-1

Answer:

the answer is 90

Step-by-step explanation:

Answer:

16 miles

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Actual area = 3.2 x 5 = 16 miles

Answer:

The answer is c

Step-by-step explanation:

because it is equal to the fraction above

Answer:

{21.75, 43.50, 65.25,87,108.75,130.50}

Step-by-step explanation:

Answer:

$5.75

Step-by-step explanation:

20=9.75 + 4.5 + c

20-9.75-4.5=c

5.75=c