Mayumi rides her bike around a park . each lap around the park is two/ three . mayumi rides of total of three. how many laps around the park mayumi ride ? write your answer as a whole number of laps plus a fraction of a lap you can use the model to help.

The geometric mean of 1/5 and 60 is 2√3.

Geometric mean, like arithmetic mean, is a kind of average and a measure of central tendency.

To solve for the geometric mean, we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. In other words, geometric mean is the nth root of the product of n values.

The formula for the geometric mean is given by:

GM = n√x1 x2 . . . xn

Solving for the geometric mean between 1/5 and 60 using the formula:

GM = n√x1 x2 . . . xn

where n = 2, x1 = 1/5, and x2 = 60

GM = √(1/5)(60)

GM = √12

GM = 2√3

Hence, the geometric mean of 1/5 and 60 is 2√3.

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We have proved that all circles are similar.

It is given that there are some circles.

We have to prove that all circles are similar.

What is the locus of a circle ?

The locus of a circle is the set of points on a plane at the same distance from the center point.

As per the question ;

We have to prove that all circles are similar.

We know that ;

A circle is a geometric shape in which the outside points are all equidistant from a center point.

Let's assume there are two circles and the radius of circle A is a and circle B is b .

If we center the circles on the same point, we found that by multiplying the radius of Circle B which is b by an unknown value x will give the radius of Circle A which is a.

and

The scale factor will be ;

bx = a

or

x = a / b

We know that dilation makes the shape bigger or smaller.

So , we have satisfied the definition of similarity and we can conclude Circle A is similar to Circle B.

and

This can also be considered for all circles and thus it states that all circles are similar.

Thus , we have proved that all circles are similar.

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Answer:

Point (0, 0) satisfies the inequalities

Step-by-step explanation:

Sometimes graphing is the best way to determine where the region is that satisfies both inequalities. Then you can choose a point accordingly

The graph of both inequalities is attached. The heavily shaded region in blue represents the region that satisfies both inequalities

If you look at the graph, you can see that (0, 0) falls in the heavily shaded region and therefore it satisfies both constraints

Indeed at (0, 0)

7(0) + 2(0) = 0 which is > -4 since 0 is greater than all negative numbers

Also
-5(0) + 6(0) = 0 which is indeed ≤ 6

So one point is (0, 0)

The probability will:

a) Increase.

b) decrease.

c) increase.

We know that as larger is the size (or the diameter at least) of the hole, the easier will be to lading the skee ball on that hole.

So "If the size of the 40-point hole is enlarged, the probability... "

If you increase the size, then it will be easier to land the ball, thus we can conclude that the probability will increase.

" If the 40-point hole is made smaller, the probability..."

Opposite as the case above, this time will be harder to land the ball, thus the probability will decrease.

"If the 40-point hole stays the same size, but the scoring zone is made smaller, the probability..."

If the ball is thrown in a random way, such that the probability of landing in any region of the scoring zone is the same, then the probability of landing on the 40-point hole is equal to the quotient between the area of the hole and the total area of the scoring zone.

Thus, is you decrease the area of the scoring zone, then the probability increases.

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Answer: The probability will:

a) Increase.

b) decrease.

c) increase.

The line q passes through (2, 0) and (-7, -4)

If line Q does not intersect the line LM, then these lines are parallel, thus, have the same slope.

The slope of line LM is given by:

s = (3 + 4)/(2 + 4) = 7/6

Now we know that the line Q contains point N (2, 0) ( i will assume is this because in the image the points don't have the correspondent names).

Then the line also passes through another point (a, b) such that:

s = (0 - b)/(2 - a) = 7/6

Then:

b = -7

a = -4

The line q passes through (2, 0) and (-7, -4)

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If Elon earns $45 per hour, spend $75 on dry cleaning everyday and wants to make at least $260 a day then the inequality that shows the situation is 45x-75≥260 and he atleast work for 7 and half hour each day.

Given that Elon earns $45 per hour, spend $75 on dry cleaning everyday and wants to make at least $260 a day.

We are required to write the inequality that represent the situation of Elon.

Inequality is just like an equation that shows the relationship between two variables but in greater than, less than,greater than or equal to,less than or equal to signs.

Suppose the number of hours that Elon works be x hours each day.

The earning of Elon will be 45x.

Since the expenditure is $75,the saving will be 45x-75 and if he wants to make $260 a day, the inequality will be 45x-75≥260.

45x≥260+75

45x≥335

x≥335/45

x≥7.55

Hence if Elon earns $45 per hour, spend $75 on dry cleaning everyday and wants to make at least $260 a day then the inequality that shows the situation is 45x-75≥260 and he atleast work for 7 and half hour each day.

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Answer:

Yes

Step-by-step explanation:

A right triangle is a triangle that has one angle whose measure is 90°. A right triangle CANNOT have two 90º angles. This is because the angles of a triangle must add up to 180°. With one angle measuring 90°, the other two angles in the right triangle must add up to 90°

Answer

She should make 24 pots and 2 plates

Answer:

-50

Step-by-step explanation:

2(−8−7)

3

(5)

=

(2)(−15)

3

(5)

=

−30

3

(5)

=(−10)(5)

=−50

Answer:

< A = 60 degrees.

< B = 44 degrees

<C = 76 degrees.

Step-by-step explanation:

A + B + C = 180    --------(1)

2A = B + C            -------(2)

B = C - 32             -------(3)

We see from equation 2 that B + C = 2A so we

replace The A + B in equation (1) by 2A:

A + 2A = 180

3A = 180

A = 60.

Substitute A = 60 in equation (2):

120 = B + C

Rearranging equation (3):

32 = -B + C

Adding theses last 2 equations:

152 = 2C

C = 152/2 = 76.

Substituting for A and C in equation (1):

60 + 76 + B = 180

B = 180 - 60 - 76 = 44 degrees.

Use the kinematic formula

[tex]{v_2}^2 - {v_1}^2 = 2a\Delta x[/tex]

where [tex]v_1,v_2[/tex] are initial/final velocities, [tex]a[/tex] is acceleration, and [tex]\Delta x[/tex] is displacement. We're given [tex]a=-5.00\frac{\rm m}{\rm s^2}[/tex] and [tex]\Delta x=15.0\,\rm m[/tex], and the car comes to a stop so [tex]v_2=0[/tex]. Solve for [tex]v_1[/tex].

[tex]-{v_1}^2 = 2\left(-5.00\dfrac{\rm m}{\rm s^2}\right) (15.0\,\mathrm m) \\\\ ~~~~ \implies {v_1}^2 = 150.\dfrac{\rm m^2}{\rm s^2} \\\\ ~~~~ \implies v_1 = \sqrt{150.\dfrac{\rm m^2}{\rm s^2}} \approx \boxed{12.2 \dfrac{\rm m}{\rm s}}[/tex]

According to the question, the given data are as follows:

Zoe’s distance = ZZ(miles); Stadium time = tt (hours); Mackenzie’s distance = MM(miles)

Distance between Zoe and stadium = 249 miles

Distance between Mackenzie and stadium = 237 miles

Zoe speed = 58 miles per hour

Mackenzie speed = 55 miles per hour

Time = 2 hours

Using standard distance formula:

Distance = (speed)(time)

As per relative speed, distance gets added and speed gets subtracted when objects are away or parallel from each other.

ZZ = 249 -58tt

MM = 237 -55tt

When both are at the same distance, the time will be t = 4 hours

249 -58tt = 237 -55tt

tt = 4 hours

What is distance?

Distance can be defined as the resultant displacement between two points. It can be calculated in different units like kilometers, meters, miles etc. Based on direction, the distance formulas change.

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Identify the centers and radii of the two circles. To find the transformation rule, we need to find how many units horizontally and vertically to move the center of one circle to the center of the other circle.

The equation for the shifted circle is

(x+2) ^2+(y+4) ^2=36.

Description: The standard shape of a circle is

(x−h)2+(y−k)2=r2,

where r is the circle's radius and (h,k) is the circle's center.x2+y2=36 centered at (0,0). If the circle is shifted two units to the left, it means that the new center is h = -2. If we move the circle down four units, the new center is k = −4. So, the shifted circle has the equation (x+2)2+(y+4)2=36.

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Answer:

Myrna's Farms

Step-by-step explanation:

Fouster's Farms has 5^3 = 5 x 5 x 5 = 125 fruit trees

Myrna's Farms has 5x times this many trees = 5 x 125 = 625

commercial farm has 500 fruit trees

So Myrna's Farms has the most trees = 625

An equation that could represent a linear combination of the system with  no solution is: B) 0 = 26.

In Mathematics, no solution is sometimes referred to as zero solution. Additionally, an equation is considered as having no solution when the right hand side and left hand side of the equation are not the same or equal.

From the information provided above, we have this system of equations:

2x/3 + 5y/2 = 15     ........equation 1

4x + 15y = 12           ........equation 2

Multiplying equation 1 by 6, we have:

6 × (2x/3 + 5y/2 = 15)

4x + 15y = 90      ......equation 3

Subtracting the equation 3 from equation 2, we have:

(4x - 4x) + (15y - 15y) = (12 - 90)

0 + 0 = -78

0 = -78  ≡ 0 = 26.

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Complete question:

The system of equations below has no solution.

2x/3 + 5y/2 = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

A) 4/3x=42

B) 0 = 26

C) 15/2y=33

D) 0=0

The equation of the line in point-slope form, which passes through the pair of points located at (3/2 , -1/2) and (-2/3 , 1/3), is y + 1/2 = -5/13(x - 3/2).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (3/2 , -1/2) and (-2/3 , 1/3).

m = (y2 - y1)/(x2 - x1)

m = (1/3 - -1/2)/(-2/3 - 3/2)

m = (5/6)/(-13/6)

m = -5/13

Using the point slope form, plug in the values of the slope and one point to set up the equation.

(y - y1) = m(x - x1)

where m = -5/13 and (x1 , y1) = (3/2 , -1/2)

(y - -1/2) = -5/13(x - 3/2)

y + 1/2 = -5/13(x - 3/2)

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Answer:

Based on the information given the rate of return is 10.8%.

First step is to find the shares of stock price:

Shares of stock price=25 shares×$30/share

Shares of stock price= $750

Second step is to calculate the total sold price:

Total sold price= $825+$6

Total sold price= $831

Third step is to calculate the Rate of return:

Rate of return=$831-750/$750×100

Rate of return=$81/$750×100

Rate of return=10.8%

Inconclusion the rate of return is 10.8%.

YES ,The condition can result in more than one triangle.

We may comprehend the characteristics of this shape by using triangle laws and theorems. Triangles have a variety of geometric principles because they are one of the fundamental components of trigonometry. These assist us in separating right triangles from isosceles and equilateral triangles, among other things.

According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side. See the acute triangle's side lengths below. The two shortest sides, 6 and 7, add up to a total length of 13. That measurement exceeds the longest side's length of eight.

YES ,The condition can result in more than one triangle because as rule of side of triangle largest side is more than other to sides would if two sides a given from multiple triangle by changing their angles

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Answer:17/38

Step-by-step explanation:

5/19+7/38

\frac{5}{19}+\frac{7}{38}

Answer:

[tex]\frac{17}{38}[/tex]

Step-by-step explanation:

[tex]\frac{5 * 2}{19 * 2} +\frac{7}{38}[/tex]

[tex]\frac{10+ 7 }{38}[/tex]  10 +7 =17

[tex]\frac{17}{38}[/tex]

The required value of constant of variation, k for which x and y vary directly is 6.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of constant of variation

When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion      —-- 1

Given relation is y - 6x = 0

y = 6x

On comparing it with equation 1, we get,

k = 6

Hence, the required value of constant of variation is 6.

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Energy and mass are related by the formula, E = mc², where m is the mass of the object and c is the speed of light. The equation that finds m, given e and c, is:   m = E/c²

The equation, E = mc² was coined from Albert Einstein's theory of relativity, which shows the relationship between mass and energy. It shows that energy and mass can be interchanged into each other. The equation tells us that if we multiply the mass of a body (m) with the square of the speed of light (c²), we will get the total amount of energy (E) contained in that body, which can potentially be converted to other forms of energy.

However, if are given the energy contained in a body and the speed of light, then told to find the mass of the body, we will divide the equation by the coefficient of m. The coefficient of m in the equation is c², thus:

                          E = mc²

                          E/c² = mc²/c²

   c² divided by c² is 1, therefore, the new equation is:

                               m = E/c²

 Thus, the equation that finds m, given e and c is m = E/c².

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A circle is a curve sketched out by a point moving in a plane. The radius and the diameter of the circle are 5.57x cm and 11.14x cm, respectively.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Given that circumference of the circle is 35x cm. Therefore, the radius and the diameter of the circle can be written as,

Circumference of circle = 2 × π × (Radius of the circle)

35x cm = 2 × π × (Radius of the circle)

(Radius of the circle) = 35x/ (2 × π)

The radius of the circle = 5.57x cm

Diameter of circle = 2 × (Radius of the circle)

                             = 2 × 5.57x cm

                             = 11.14x cm

Hence, the radius and the diameter of the circle are 5.57x cm and 11.14x cm, respectively.

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Answer:

Mr Tan's daughter received $620

Step-by-step explanation:

the son received $460

$460 × 2 = $920

the wife received $920

$920 - $300 = $620

$460 + $920 + $620 = $2000

The total area of given polyhedron is 68.75 sq. units

The given polyhedron is made up of 1 square, 2 triangles, and 2 rectangles.

Firstly. the dimensions of triangle are -

base = 2.5 units,

height = 3.5 units

area of the triangle = 1/2 × B × H

= 1/2 × 2.5 × 3.5

= 4.375 sq. units

The area of 2 triangles will be - 2 (area of 1 triangle)

⇒ 2× 4.375

= 8.75 sq. units

Area of Rectangle 1 = L × B

Length = 5 units

Breadth = 3 units

Area = 5×3 = 15 sq. units

Area of Rectangle 2 = L × B

Length = 5 units

Breadth = 4 units

Area = 20 sq. units

Area of square = Side²

⇒ 5 × 5

= 25 sq. units

Total area of polyhedron = Area of 2 triangles + Area of 2 Rectangles + Area of square

⇒ 8.75 + 15 + 20 + 25

= 68.75 sq. units

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Answer:

Step-by-step explanation:

2.8 × (-11) - 3 × 8 =

-30.8 - 24 =

-54.8 ( in fraction -274/5)

Answer:

12 meters below sea level?

Step-by-step explanation:

Not entirely sure if that is what the question is asking...

Answer: -12 meters

Step-by-step explanation:

umm lol

Answer:

3/2

Step-by-step explanation:

15% × 10( use p%)

15/100 × 10 (simplify the expression)

15/10 (reduce the expression)

3/2(Solution)

Answer: [tex]a=110^{\circ}[/tex]

Step-by-step explanation:

By the exterior angle theorem,

[tex]a+15^{\circ}=125^{\circ}\\\\a=110^{\circ}[/tex]