You are visiting Expo 2020, in Dubai. A taxi company charges a flat fee of USD5.00 plus an additional USD 0.95 per km. Write an equation that you could use to find the cost of a taxi ride in Expo,2020. Let x represent the number of miles and y represent the total cost.

The sum of the interior angles of a triangle is 180° is proved below.

We are given that;

To prove angle sum property of triangle

Now,

There are different ways to prove that the sum of the interior angles of a triangle is 180°. Here are three common proofs:

Proof : Using parallel lines and alternate interior angles

Since the line PQ is parallel to the side BC, and AB and AC are transversals, we can use the property that alternate interior angles are congruent.

Therefore, we have:

∠QAC = ∠ACB

∠PAB = ∠ABC

Adding these equations, we get:

∠QAC + ∠PAB = ∠ACB + ∠ABC

But ∠QAC + ∠PAB is a straight angle, which measures 180°. So, we have:

180° = ∠ACB + ∠ABC

Adding ∠CAB to both sides, we get:

180° + ∠CAB = ∠ACB + ∠ABC + ∠CAB

Simplifying, we get:

180° = ∠ACB + ∠ABC + ∠CAB

Hence, by the triangles the answer will be given above.

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The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

The completed table of values for the equation 4x + 2y = 64 is provided .

To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.

Table of Values:

x y

0 32

4 28

8 24

12 20

16 16

20 12

24 8

28 4

32 0

To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)

By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)

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Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

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Answer:

we need a pic of the graph to be able. to work this out.

THANK YOU

Answer:

It's 5.

Step-by-step explanation:

8-3= 5

Okay so you put -6 in where y is then solve and youll get your answer

-8x-7(-6)=-6

Answer:

Step-by-step explanation:

Because 12 and 11 are not the same number it could be added it it were 11^3 and 11^4. But in this case it cannot.

Answer:

Step-by-step explanation:

please help me

The rate of increase of the laptop's price from last year to this year is 9.01%, rounded to the nearest tenth of a percent.

To calculate the rate of increase of a particular laptop from last year's price to this year's price, we use the formula below:rate of increase = ((new price - old price) / old price) x 100The old price of the laptop is $799, while the new price is $871.Using the formula, we can calculate the rate of increase:rate of increase = ((871 - 799) / 799) x 100rate of increase = (72 / 799) x 100rate of increase = 0.09011389111 x 100rate of increase = 9.01%

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The angles in the triangle are as follows:

∠X = 58°

Exterior angle of ∠X = 122°

The sum of angles in a triangle is 180 degrees. The sum of the exterior angle and the interior angle of a triangle is 180 degrees.

Therefore, let's find the measure of ∠X in the triangle XYZ.

Hence,

m∠X = (2g + 16)°

The exterior angle of m∠X  measures 4g + 38 degrees.

Hence,

2g + 16 + 4g + 38 = 180

6g + 54 = 180

6g = 180 - 54

6g = 126

g = 126 / 6

g = 21

Therefore,

∠X = (2(21) + 16)°  = 42 + 16 = 58 degrees

Exterior angle of ∠X =  4(21) + 38 = 84 + 38 = 122

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The prices are as follows;

Gatorade = $2 per bottle

Powerade= $4 per bottle

Total sale in the period was =$ 412

Number of Gatorade sold = 18 more than two times the number of Powerade sold

Let us take the number of Powerade sold to be ------ p

Two times the number of Powerade sold will be -----2p

18 more than two times the number of Powerade sold will be -----2p + 18

so, the number of Gatorade sold = 2p + 18

Now form an equation for total sale as;

$2 {2p +18 } + $4 {p} = $412 -------------equation for total sale

solve the equation to find the value of p

open the barckets as;

4p + 36 + 4p = 412

collect the like terms

4p + 4p + 36 = 412

8p + 36 = 412

8p = 412-36

8p = 376

p = 376/8

p= 47

Answers

The number of Powerade sold is ------ p--- 47 bottles

The number of Gatorade sold is-----2p + 18 = 47*2 + 18 = 112 bottles

Answer:

Step-by-step explanation:

1. regroup terms

\(125x^3+343+525x^2+735x\)

2. Rewrite \(125x^3\) as  \((5x)^3\) and 343 as \(7^3\)

\((5x)^3+7^3+525x^2+735x\)

3. Since both terms are perfect cubes, factor using the sum of cubes formula, \(a^3+b^3 = (a+b)(a^2-ab+b^2)\), where \(a=5x\) and \(b=7\)

\((5x+7)((5x)^2-(7)(5x)+(7)^2)+525x^2+735x\)

\((5x+7)(25x^2-35x+49)+525x^2+735x\)

4. Factor \(105x\) out of \(525x^2+735x\)

\((5x+7)(25x^2-35x+49)+105x(5x+7)\)

5. Regroup

\((5x+7)(25x^2-35x+49+105x)\)

\((5x+7)(25x^2+70x+49)\)

6. Factor again

\((5x+7)(5x+7)^2\)

\((5x+7)^3\)

Answer:

(5x+7)^3

Step-by-step explanation:

(a+b)^3=a^3+3a^2b+3ab^2+b^3

Answer:

4 1x4=4 so 4 is ur answer

Step-by-step explanation:

Answer:

Since we have the information for Angles 1 and 3, and they are vertical, we can set them equal to each other. Once we have done this we can find the measures of them combined, and subtract it from 360 in order to only have the measure of 2 and its vertical angle. Finally, all we need to do now is divide the remaining measure by 2, and this will give us the measure of angle 2.

Angle 1=Angle 3

4x+30=2x+48

2x+30=48

2x=18

x=9

Angle 1=4(9)+30

Angle 1=36+30

Angle 1=66

Angle 1=Angle 3

Angle 1+ Angle 3=132

360-132=228

228/2=114

Angle 2= 114

The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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Answer:

2500 grams makes 5.511557 pounds = 5.5

Answer:

it is 5.5 lbs

Step-by-step explanation:

math

h: The domain

-5 ≤ x ≤ 5

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

In math terms that means:

\( \frac{x+3}{x-7}=4\)

If we cross multiply we got:

\( x+3 = 4x -28\)

And solving for x we got:

\( 28+3=31 = 3x\)

\(x =\frac{31}{3}= 10.333\)

Step-by-step explanation:

For this problem we can set x a the value of interest and we need to do this: If a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4. Let x represent the unknown number.

In math terms that means:

\( \frac{x+3}{x-7}=4\)

If we cross multiply we got:

\( x+3 = 4x -28\)

And solving for x we got:

\( 28+3=31 = 3x\)

\(x =\frac{31}{3}= 10.333\)

Answer: 0.771 you are welcome

Answer:

116 / 45

Step-by-step explanation:

To add fractions with unlike denominators, we need to find their common denominator.

One way to do this is by finding the least common multiple (LCM) of the denominators.

The LCM of 3, 5, 9 and 15 is 45.

We then convert each fraction so that its denominator is 45:

1/3 = 15/45

3/5 = 27/45

7/9 = 35/45

13/15 = 39/45

Now we can add the fractions:

15/45 + 27/45 + 35/45 + 39/45

To simplify, we can add the numerators and keep the common denominator:

(15 + 27 + 35 + 39) / 45

Which gives us:

116 / 45

Therefore, the sum of the fractions 1/3 + 3/5 + 7/9 + 13/15 is, 116 / 45.

Answer:

5.2 hours

Step-by-step explanation:

divide the total distance by how fast

td/speed

3250/625=5.2hrs

Step-by-step explanation:

Anthropology is the real answer hshshshshs

Answer:

A

Because of the question it says

Answer:

y = 2x - 3

Step-by-step explanation:

Take any tow point from the line

(x₁ , y₁) = (1 , -1)    & (x₂  , y₂) = (0 , -3)

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

         \(= \frac{-3-[-1]}{0-1}\\\\=\frac{-3+1}{-1}\\\\=\frac{-2}{-1}\\\\=2\)

m = 2  &  (1, -1)

y - y₁  = m(x -x₁)

y - [-1] = 2(x - 1)

y + 1   = 2x - 2

       y = 2x - 2 - 1

y = 2x - 3

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.