Question 2
1 pts
David's bicycle has a diameter of 13 inches. If the wheel
makes 20 revolutions, approximately how far will the bicycle
have traveled? Round to the nearest whole number.
The bicycle can travel a total distance of
[ Select]
inches.
V

Answer:

43+ (7 - 3) * 2 = 51

Step-by-step explanation:

43 + (7 - 3) x 2

First, you want to do what is in the parenthesis

43 + 4 x 2

Now, you want to multiply.

43 + 8

Next, you simplify.

51

Answer:

The answer is below

Step-by-step explanation:

Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16

Solution:

Given that the ellipse has the equation: 4x² + 16y² = 16

let us make x the subject of the formula, hence:

4x² + 16y² = 16

4x² = 16 - 16y²

Dividing through by 4:

x² = (16 - 16y²)/4

x² = 4 - 4y²

Taking square root of both sides:

[tex]x=\sqrt{4-4y^2 }\\[/tex]

The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.

The area of a rectangle inscribed inside an ellipse is given by:

Area (A) = 4xy

A = 4xy

[tex]A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}[/tex]

Therefore the length = 2x = 2√2, the width = 2y = 2/√2

Answer:

1) cant solve, you accidentally cropped out the bottom

2) ∠ABC=60°

3) x=25°

Step-by-step explanation:

1) cant solve, you accidentally cropped out the bottom. Let me know what the figure opposite the angle (5x-70) is and I can figure out the answer.

2)∠ABC=(45+15) (VERTICALLY OPPOSITE)

∠ABC=60°

(x=12.5°)

3) (x) + (3x-10) =90

4x -10 = 90

4x=100

x=25°

9514 1404 393

Answer:

  P = (8, 0)

Step-by-step explanation:

The coordinates of point P are the weighted average of the end points. The weights are the reverse of the segment divisions.

  P = (2/5)A +(3/5)B

  P = (2(-4, -6) +3(16, 4))/5 = (-8+48, -12 +12)/5 = (40, 0)/5

  P = (8, 0)

Answer:

$492 per year

Step-by-step explanation:

The first step we take towards solving this question is to add all the numbers we were given as money spent(excluding that of the month)

$20 + $10 + $18 + $3 = $41 per month

This means that a total of $41 was spent per month.

Going further, since we're told it's 12 months, we then multiply it by 12, and thus, we have

$41 * 12 = $492 per year

Therefore, the total money spent is $492 per 12 months, or per year

Answer:

He saved $705 pls mark brainliest

Step-by-step explanation:

So 10% is $150 and 25% is 375 and 18% is 270 so you would add all those togeather to get 795 and 1500-795 is 705 so he saved $705!

Answer: y = 5/2x - 4

Step-by-step explanation:

the equation is y = ax + b (a ≠ 0)

because the slope of the line is 5/2 => a = 5/2

               the line passes through (0; -4) => -4 = b

=> the equation is y = 5/2.x - 4

Answer:

175% of 4 is 7

Step-by-step explanation:

i hope this helps

Answer:

Step-by-step explanation:

b = 10

Substitute b in every equation below and compare the results

A. 2(b + 4) = 16

B.  2(b + 2) = 40

C. 3(b - 2) = 24

D. 2(8 + b) = 42

E. 3(b - 4) = 20

Answer:

C. 3(b - 2) = 24..

Answer:

700

Step-by-step explanation:

694 is closer to 700 than it is to 600.

Answer:

Fraction of cars 4/15

Total number of vehicles 15

4 is the numerator and 15 is the denominator

Step-by-step explanation:

Answer:

Parallel means they have the same slope so, y=3x-8

Answer:

The 16-oz bottle is a better buy

Step-by-step explanation:

Find the better buy by finding which one has a lower price per ounce:

Calculate the price per ounce of both bottles by dividing the cost by the number of ounces

5.78/16

= 0.36

3.97/8

= 0.5

Since 0.36 is smaller than 0.5, the 16 ounce bottle is a better buy.

Answer:

The 16-oz bottle of parmesan cheese is the better buy.

Step-by-step explanation:

It is the better buy because, if you compare the prices and the ounces, I say that the 16-oz is the best buy.

Answer:

100

i hope it helps

Answer:

100

Step-by-step explanation:

Answer:

1) 2x+1 = 2x-4

2) 6x+2=3(2x+1)

3) -4x -5=-2(2x)+2

Step-by-step explanation:

We need to give three examples of equations where there would be no solution.

First we will define equation with no solution.

If solving an equation you get the result as 3=5 but 3 is not equal to 5, so the equation has no solution.

Examples of equations where there would be no solution

1) 2x+1 = 2x-4

2x-2x=-4-1

0=-1 ( false)

So, the equation has no solution.

2) 6x+2=3(2x+1)

6x+2=6x+1

6x-6x=1-2

0=-2 (false)

So, the equation has no solution.

3) -4x -5=-2(2x)+2

-4x-5=-4x+2

-4x+4x=2+5

0=7 (false)

So, the equation has no solution.

Answer: top left goes to top bottom left goes to bottom, top right goes to 3rd box and bottom right goes to the 2nd box

Answer:

1

Step-by-step explanation:

2(3/4)-1/2=

The 2 cancels out the 4 making it 3/2.

3/2-1/2=2/2

=1

Answer:

it says 5 points

Step-by-step explanation:

Answer:

2m+4

(twice the students in maths(2m) plus four more (+4))

Answer:

$297

Step-by-step explanation:

220 increase 35% =

220 × (1 + 35%) = 220 × (1 + 0.35) = 297

Answer:

x < -2.5

Step-by-step explanation:

N/A

Answer:

-0.003 x 2+.195 x -.483=0.  -0.003x^2+.195x-.483=0     2,3,3,3,5,3,2,3,

Prime factors. 1000,200,1000

square root of (x-(65/2))2 is (x-(65/2))2/2 = (x-(65/2))1 = x-(65/2)

Step-by-step explanation:

−0.003 x 2+.195 x −.483=0. Enter an ... -0.003x^2+.195x-.483=0 ... {Left,Right}. 2, 3, 3, 3. 5, 3, 2, 3. Product of all. Prime Factors, 1000, 200, 1000 ... Step 7 : ... Note that the square root of (x-(65/2))2 is (x-(65/2))2/2 = (x-(65/2))1 = x-(65/2)

Answer:

x=-7

Step-by-step explanation:

[tex]x = 21 \div - 3 \\ x = - 7[/tex]

Answer: -7

Step-by-step explanation:

Move all terms that don't contain

x

x

to the right side and solve

Answer:

8/15 and 3/10