A trader starts with 80 mangoes. She
sells 36 during the day. What percentage
of mangoes are left at the end of the
day:​

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ1

Answer:

f(x) = bx + y

Step-by-step explanation:

Linear functions are very easy as you simply need to multiply the cost per hour (in this scenario) by the total number of hours that the individual is renting the vacuum for. Then you simply add any indpendent value such as the flat fee that the hardware store charges. We can use these values to create the following function.

f(x) = bx + y

where:

b = hourly rate

x = hours of rental

y = flat fee

Answer:

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

The total cost is the cost for a can of gas plus rental cost per number of hours.

So the total cost is:

Answer:

4x + 36

Step-by-step explanation:

\(4(x+9)\\4x+36\)

Answer:

4x + 36

Step-by-step explanation:

We have to multiply 4 to x and 4 to 9. This is also called distribution. 4x + 36

It is proved that all natural numbers can be written as sum of two distinct powers of 2.

Natural number are set of all counting numbers starting from 1.

( 1, 2, 3, 4, 5, ..........n )

We can write all the natural numbers as a sum of distinct power of 2

2⁰ = 1

2¹ = 2

2⁰ + 2¹ = 3

2² = 4

2⁰ + 2² = 5

All the natural number can be written as

2^k ≤ n < 2^(k+1 )

For k ≥ 1 we have n = 2^k

Where 0 ≤ k < n

And n = 2^(k+ 1) when natural number expressed as 2⁰ + 2^k.

Therefore, using strong induction every natural number can be written as sum of distinct powers of 2.

Learn more about natural numbers here

brainly.com/question/29588734

#SPJ4

Answer:

3√2

Step-by-step explanation:

Distance (d) = \(\sqrt{((1 - -2)^2 + (3 - 6)^2)}\)

= \(\sqrt{((3)^2 + (-3)^2)}\)

= √18

= 3√2

Different arrangements of the display are possible is 2520.

Given:

the artist r. locklen jones selects 5 paintings from a collection of 7 to display in a row.

Permutation :

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.

= \(7_P_5\)

we know that,

\(n_P_r\) = n! / ( n - r ) !

\(7_P_5\) = 7! / ( 7 - 5 ) !

= 7! / ( 2 ) !

= 7! / 2!

= 7 * 6 * 5 * 4 * 3 * 2! / 2!

= 42 * 20 * 3

= 840 * 3

= 2520

Learn more about the arrangements here:

https://brainly.com/question/28406752

#SPJ4

Answer:

  y = 4

Step-by-step explanation:

Point E is on segment AC such that AC=20, AE=4y, and EC=4. You want the value of y.

The whole is the sum of the parts of a line segment.

  AC = AE +EC

  20 = 4y +4 . . . . . substitute given values

Divide by 4

  5 = y +1

  4 = y . . . . . . . . subtract 1

The value of y is 4.

Answer:

150

Step-by-step explanation:

100%/ x% = 219/ 416

Cross multiply

x = 150 %

219 is 150% of 416

Answer:

8.49

Step-by-step explanation:

6^2 + 6^2 = 72

√72 = 8.485... = 8.49

Answer:

01.4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

50 is 12\(\frac{1}{2}\)% of 400.

Given is the expression as -

50 is 12\(\frac{1}{2}\)% of {x}.

We can write the expression as -

50 = (25/2)/100 {x}

50 = (25/2) x (1/100) {x}

50 = {x}/8

{x} = 400

Therefore, 50 is 12\(\frac{1}{2}\)% of 400.

To solve more questions on algebraic expression, visit the link below -

brainly.com/question/1041084

#SPJ6

Answer:

x=−4 or x=6

Step-by-step explanation:

The scatter plot shows negative correlation because as the plotted value of x increases, the values of y generally decreases.

In this scenario, the x-values would be plotted on the x-axis (x-coordinate) of the scatter plot while the y-values would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, a linear equation for the line of best fit is given by

y = -0.441x + 6.085

In conclusion, we can reasonably infer and logically deduce that the scatter plot most likely indicates an inverse relationship between the x-values and y-values.

Read more on scatter plot here: brainly.com/question/28605735

#SPJ1

Answer:

6 Inches

Step-by-step explanation:

First Photograph

Length:Width = 24:18

Second Photograph

Let the unknown width =x

Length:Width = 8:x

Since the proportions of the two photographs are the same

\(8:x=24:18\\\\\dfrac{8}{x}= \dfrac{24}{18}\\\\24x=8 \times 18\\\\x=(8 \times 18) \div 24\\\\x=6$ inches\)

The width of the photograph is 6 inches.

===============================================

Explanation:

The order of the lettering is important when it comes to similar polygons. This is because the order tells us how the letters pair up.

I don't recommend using solely the diagram to try to see how the angles pair up because the diagram might not be to scale. So we'll just be focused on the lettering.

In the sequences ABCDE and PQRST, we have letters E and T as the last items. This means they correspond and pair up together. Furthermore, these angles are congruent (since similar polygons have congruent corresponding angles).

So in short, E = T.

The diagram shows E = 110 and T = 2x+10

This leads to...

E = T

110 = 2x+10

2x+10 = 110

2x = 110-10

2x = 100

x = 100/2

x = 50

Answer: The description of that transformation is the triangle is rotated 90 degrees clockwise. Then, it's moved to the right TWICE. Finally, you go down 2 times.

Step-by-step explanation:

Hope this helps :)

triangle B is in dofferent orientation from triangle B so we know it was either mirrored or rotated. Triangle B isnt in the exact opposite orientation as A so we know it wasnt mirrored. So we now know that it was rotated and know we have to find the point of rotation. we can tell that the rotation was 270 degrees anti clockwise since it cant be clockwise because no points of rotation match. since we know triangle A was rotated 270 degrees anti clockwise to get triangle B we cant find the point of rotation by seeing which point works and if we test the points we will see that (0;-1) is the point of rotation. So triangle A was rotated 270 degrees anti clockwise on the point (0;-1) to make triangle B

(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

for such more question on domain

https://brainly.com/question/16444481

#SPJ8

Step-by-step explanation:

10 - 3x = x-4

Collect like terms

10 +4 = x + 3x

14 = 4x

Divide both sides by 4

X = 14

4

= 7

2

= 6 1

2

Or

= 6.5

Answer:

(simplify 26³)

26³ = 17,576

= 17,576 + 5 = 3³+57

(simplify 3³)

3³ = 27

= 17,581 = 27+57

= 17,581 ≠ 84

The range of the possible length of the third side is between 10 and 22

From the question, we have the following parameters that can be used in our computation:

Lengths = 6 and 16

The possible length of the third side can be calculated using the triangle inequality theorem

For this triangle, the length of the third side must be greater than

16 - 6 = 10

Also, the length of the third side must be less than

16 + 6 = 22

Hence, the possible length of the third sides is between 10 and 22

Read more about triangles at:

brainly.com/question/1058720

#SPJ1

Goron should get 98 votes

The question breaks down to taking 35% of 280.  

Votes = 35/100 * 280 = people who will vote for Goron

Votes = 9800 / 100 = people who will vote for Goron.

Votes = 98

The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

Let's set up a coordinate system with the origin at sea level beneath Denver.

We'll use the x-axis to point east, the y-axis to point north, and the z-axis to point upward.

The plane starts directly above Denver at an altitude of 1650 meters.

We can represent this as the initial point P₀(0, 0, 1650).

The plane then flies to Bismark, which is about 850 km in the direction 60° north of east from Denver.

Let's represent the position of Bismark as the point P₁(x, y, z), where x and y are the horizontal displacements (east and north, respectively), and z is the altitude above sea level.

Since the plane flies at a constant height of 7500 meters above the line joining Denver and Bismark, the altitude z remains constant at 7500 meters.

Let's calculate the horizontal displacements x and y:

The eastward displacement x can be found using the cosine of the angle (60°) and the distance to Bismark (850 km):

x = 850 km * cos(60°) ≈ 425 km

The northward displacement y can be found using the sine of the angle (60°) and the distance to Bismark (850 km):

y = 850 km * sin(60°) ≈ 736.6 km

Now, we can write the parametric equations for the plane's motion:

x(t) = x₀ + (x₁ - x₀) * t

y(t) = y₀ + (y₁ - y₀) * t

z(t) = z

where:

x₀ = 0 (initial x-coordinate at Denver)

y₀ = 0 (initial y-coordinate at Denver)

z = 1650 meters (altitude above sea level at Denver)

x₁ = 425 km (x-coordinate at Bismark)

y₁ = 736.6 km (y-coordinate at Bismark)

The parameter t represents the time in hours.

The plane's motion is constant, so t will vary from 0 to the time it takes to travel from Denver to Bismark at a speed of 625 km/hour.

To find the time it takes, we can use the distance formula:

Distance = Speed * Time

850 km = 625 km/hour * Time

Time = 850 km / 625 km/hour ≈ 1.36 hours

A plane directly above Denver, Colorado, (altitude 1650 meters) flies to Bismark, North Dakota (altitude 550 meters).

It travels at 625 km/hour at a constant height of 7500 meters above the line joining Denver and Bismark. Bismark is about 850 km in the direction 60∘ north of east from Denver.

Assume the origin is at sea level beneath Denver, that the x-axis points east and the y-axis points north, and that the earth is flat. Measure distances in kilometers and time in hours.

So, the time it takes for the plane to travel from Denver to Bismark is approximately 1.36 hours.

The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

learn more on parametric equations

https://brainly.com/question/34520777

#SPJ4

\(\large\bf{\underline{Given :}}\)

__________________________________________

\(\large\bf{\underline{To\:find :}}\)

__________________________________________

\(\large\bf{\underline{Cost\:of\:11\:shirts }}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\( = 11 \times 15.65\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\( = 172.15\)

\(\large\bf{\underline{Therefore}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹11 \: shirts \: + \: 24 \: ties \: = 403.51\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹172 + 24 \: ties = 403.51\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹24 \: ties = 403.51 - 172.15\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹24 \: ties = 231.36\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹1 \: tie \: = \frac{231.36}{24} \)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹1 \: tie = 9.64\)

\(\large\bf{\underline{Hence\:cost\:of\:a\:tie}}\)

\(\huge\bf{= £9.64}\)

Step-by-step explanation:

In expression:25w+55

variable=w

cofficient = coefficient of variable (w)=25

constant=55

In the given expression variable is "w", the coefficient is "25" and the constant is"55".

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given the expression

25w+55

Now, in general, the variable is given by an English symbol so "w" will be the variable.

The constant which in multiply of variable is called coefficient so "25" will be coefficient.

Now,

The only remaining term "55" is a constant.

Hence "In the given expression variable is "w", the coefficient is "25" and the constant is"55".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

​for such more question on parabola

https://brainly.com/question/9201543

#SPJ8