Simplify 0.3(x - 2y) + 0.5x - y.

Sorry I would give more points but I really dont have much.

Jenny's Average swimming speed is 1.5 km/h.

Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.

We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.

Thus, the distance she swam is S * 1 = S km.

Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.

Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.

Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.

She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.

The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.

Therefore, we can write the equation:

S + 8S + 28S = 55.5.

Simplifying the equation, we get:

37S = 55.5.

To solve for S, we divide both sides of the equation by 37:

S = 55.5 / 37 = 1.5.

Thus, Jenny's average swimming speed is 1.5 km/h.

For more questions on Average .

https://brainly.com/question/20216375

#SPJ8

Answer:

They have to go 30 m below sea level to reach wreckage.

Step-by-step explanation:

jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level.

Below sea level means = -40 m

Above sea level means = +10 m

It means,

-40 m + 10 m

= -30 m

Hence, they have to go 30 m below sea level to reach wreckage.

The perimeter of the polygon, with the specified coordinate points , found using Pythagorean Theorem  iis  approximately 16 units

The Pythagorean Theorem indicates that the square of the distance between points on the coordinate plans is the sum of the square of the horizontal and vertical distances between the  point.

The coordinates of the vertices of the polygon are;

(-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1)

The length of the sides are therefore;

3 - 1 = 2,

√((-1 - (-3))² + (5 - 3)²) = 2·√2

√((2 - (-1))² + (4 - 5)²) = √(10)

4 - 1 = 3

2 - (-3) = 5

The perimeter is therefore;

2 + 2·√2 +  √(10) + 3 + 5  ≈ 16

Learn more about the perimeter of a polygon here:

https://brainly.com/question/15569329

#SPJ1

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

For more questions on Books.

https://brainly.com/question/30630608

#SPJ8

Answer:

4/5

Step-by-step explanation:

e

Answer:

$18.97

Step-by-step explanation:

Add $7.49, $8.29, and $1.79 together= $17.57.

Then, add the 8% tax. So $17.57+8% of tax= $18.97.

The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

To know more about Intersection points visit,

https://brainly.com/question/29248863

#SPJ4

Answer:

Sarah is the fastest swimmer

Answer:

it A because if u apply pressure the molecules will be cramped

Step-by-step explanation:

Answer:

Step-by-step explanation:

The radius of the circular top is 4. 75

The formula for surface area of a rectangle is given as;

Surface area = 2πrh

Given that;

Let's  substitute the values

388 = 2 × 3. 142 × 13r

388 = 81. 64r

Make 'r' the subject

r = 388/ 81. 64

r = 4. 75

Thus, the radius of the circular top is 4. 75

Learn more about a rectangle here:

https://brainly.com/question/25292087

#SPJ1

Answer:

the sun is the closest star to earth.

Answer:

the sun is the closet sun to the earth

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

because it is a parallelogram, angle B = angle D, and angle C = angle A

that means we have 130(2) = 260 degrees that we know.

the total interior angles of a parallelogram = 360

360 - 260 = 100 degrees left. BUT because those are the total amount of angles left, those are angles A and C combined, so you have to divide 100 in half to get the angle A/ angle DAB

100/2 = 50 degrees. hope this helps! leave a question if you are still confused.

Answer: 50 miles

Step-by-step explanation:

75 miles in one and half hours.

That's 25 miles per half hour

So, in 1 hour, he will drive 50 miles

Answer:

123, 246, 369

Step-by-step explanation:

Answer:

\(3^{-3}\) ÷ \(3^{4}\)

Step-by-step explanation:

When pulged into a calculator:

\(3^{3}\)  ÷ \(3^{-4}\) = 2187

When your options are pulged in you get this:

\(3^{-3}\) ÷  \(3^{4}\) = \(\frac{1}{2187}\)

\(3^{3}\) · \(3^{4}\) = 2187

\(3^{7}\) ÷ \(3^0\) = 2187

3 · \(3^6\) = 2187

because \(3^{-3}\) ÷  \(3^{4}\) doesn't equal 2187 that is your answer.

Answer:

Step-by-step explanation:

40/30=409

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

Learn more about perimeter on:

brainly.com/question/19819849

#SPJ1

Answer:

They will not.

Step-by-step explanation:

\( {14}^{2} + {21}^{2} = 196 + 441 = 637\)

\( {25}^{2} = 625\)

The equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.

Roots are the points where the graph intercepts with the x-axis ( y = 0 ).

Given the roots in the question;

x = 2, -2, 3

Now, the root of x = 2 was found solving for x when x - (2) = y but y = 0.

Hence, (x - 2) is a factor.

Next, the root of x = -2 was found solving for x when x - (-2) = y but y = 0.

Hence, (x + 2) is a factor

And the root of x = 4 was found solving for x when x - (4) = y but y = 0.

Hence, (x + 2) is a factor

Now, combine all the factors into a single equation and simplify.

( x-2 )( x + 2 )( x - 4 ) = y

( x² + 2x - 2x - 4 )( x - 4) = 0

( x² - 4 )( x - 4) = 0

x( x² - 4 ) -4( x² - 4 ) = 0

x³ - 4x - 4x² + 16 = 0

x³ - 4x² - 4x + 16 = 0

x³ - 4x² - 4x + 16 = 0

Therefore, the equation of the polynomial with the given roots of 2, -2, and 4 is x³ - 4x² - 4x + 16 = 0.

Learn more about factor theorem here: https://brainly.com/question/24545336

#SPJ1

8.25 hours is our base number here. 1/3 of it is taken up when he stops at the gas station.

8.25, 4.125 is half of it, 2.75 is our answer for this,

8.25/3 gives you 2.75 due to 2.75 making it 5.5 when doubled and so on

so, the answer is 2 3/4 hours, D

Answer:

a) The property has 17.3 acres.

b) The price per acre is of $8,670.5.

Step-by-step explanation:

The questions are solved by proportions, using a rule of three.

a. How large is the property in​ acres?

Each hectare has 2.47105 acres.

So 7 hectares will have:

7*2.47105 = 17.3.

The property has 17.3 acres.

b. If the property is selling for $150,000​, what is the price per​ acre?

17.3 acres for $150,000. So

150000/17.3 = $8,670.5.

The price per acre is of $8,670.5.

Answer:

5

Step-by-step explanation:

Answer:

Answer:5

Step-by-step explanation:

hope it helps.

Answer:

<AEB and <CED are congruent by vertical angles theorem.

Step-by-step explanation:

Given that AB and CD are parallel bro each other, and two straight lines intersect at E, therefore, <AEB and <CED that are formed are congruent to each other because they are vertical opposite angles.

Thus, the answer would be:

<AEB and <CED are congruent by vertical angles theorem.

Answer:

a. 8.5

b. 10

Step-by-step explanation:

a.) 1, 1, 2, 7, 7, 10, 12, 16, 20, 34

Since 7 and 10 are tied in the middle, then we need to find a number in the   middle of the two.

8.5 is in the middle of 7 and 10, therefore 8.5 is the mean.

b.) We need to do the same thing we did before, except add 22 to it's directed place:

1, 1, 2, 7, 7, 10, 12, 16, 20, 22, 34

Since 10 is in the middle, 10 is the new mean.

Hope this helps! :D

This kinds of fractions called improper fractions

The rule is

We can turn it into mixed fraction