1. A shuttle service charges each customer $10.00 for a ride from the airport to the hotel. It costs $45.00 each time the shuttle driver must fill up the gas tank. The shuttle company wants to make a profit of at least $6,000.00. (1) Designate variables for any unknown values. (2) Write an appropriate constraint to represent this scenario.

Answer:

47

Step-by-step explanation:

It's just aligning each number / line to each matching one.

Answer:

47 degrees

Step-by-step explanation:

The angle that matches the angle U is angle C

The measure of angle U is 47 degrees

Answer:

x=12

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) =  (segment piece) x (segment piece)

10 * x =  ( 3+x) *8

10x = 24+8x

Subtract 8x

10x-8x = 24+8x-8x

2x= 24

Divide by 2

2x/2 =24/2

x = 12

If the plane is flying at an altitude of 21,000 feet, it is perpendicular to the observer's horizontal line of sight. Thus, I concluded that the given information be assigned to the attachment below.

Given -

( Observer at point O, plane flying at point P

( Plane at 55° angle to horizontal line of sight, altitude of 21,000 feet

The distance ( x ), is represented by the line segment OP, with which we have to determine the length of. Therefore we can conclude the following -

[tex]Sin( 55 ) = Altitude / Distance,\\Sin( 55 ) = 21,000 / x,\\----------------\\x = \frac{21,000}{Sin( 55 )},\\x = 21,000 / 0.81915204428\\\\x = ( About ) 25636 feet\\[/tex]

As you can see, the distance from the plane to the observer is about 25,636 ft!

Answer:

25,636 feet

Step-by-step explanation:

I took the test on FLVS and got 100%

Answer:

5x-8

Step-by-step explanation:

Answer:

there's only one equation listed, and it has one solution, which is 0

Step-by-step explanation:

Answer: There is only one equation here...

Anyway it's ans is 0

Step-by-step explanation:

Feel pleasure to help u

Answer:

The train travelled x + 200 km

Answer:

The number of kilometres traveled by the bus is x kilometres. The train travels 200 kilometres farther than the bus, meaning that the train traveled x kilometres, and an additional 200 kilometres.

So, the number of kilometres traveled by the train would be the x km traveled by bus, plus 200 km; or x + 200 km.

Hope this helps!

Answer:

Below.

Step-by-step explanation:

This is a parabola.

As the coefficient of x^2 is positive it will open upwards ( shaped like a 'U').

If we convert to vertex form we can find the line of symmetry  and the coordinates of the vertex:

f(x) = 3x^2 - 2x + 1

f(x) = 3(x^2 - 2/3 x) + 1

f(x) = 3[(x - 1/3)^2 - (1/3)^2] + 1

f(x) = 3(x - 1/3)^2 - 1/3 + 1

f(x) = 3(x - 1/3)^2 + 2/3

So the line of symmetry is  x = 1/3 and

the vertex ( the minimum of the curve) is at (1/3, 2/3).

Hey there! :)

Answer:

x = 242 mm.

Step-by-step explanation:

Begin by setting up a proportion between the actual college building and the drawing.

[tex]\frac{22mm}{9m} = \frac{x}{99m}[/tex]

Cross multiply:

99 × 22 = 9 × x

2178 = 9x

Divide both sides by 9:

2178/9 = 9x/9

x = 242 mm.

Answer:

x = 76 roses

Step-by-step explanation:

Step 1: Define variables

x = # of roses

y = # of tulips

Step 2: Write systems of equations

x = 4y + 8

5x + 2y = 414

Step 3: Use Substitution

5(4y + 8) + 2y = 414

20y + 40 + 2y = 414

22y = 374

y = 17

Step 4: Plug in y to find x

x = 4(17) + 8

x = 68 + 8

x = 76

Answer:

x = 76

Step-by-step explanation:

x = Roses

y = Tulips

x = 4y + 8

5x + 2y = 414

5(4y + 8) + 2y = 414

20y + 40 + 2y = 414

22y = 374

y = 17

x = 4(17) + 8

x = 68 + 8

x = 76

Answer:

the answer you are looking for is the letter B. 33

Answer:

m∠A ≈ 43°

m∠B ≈ 55°

mBC ≈ 20

Step-by-step explanation:

Law of Sines: [tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Step 1: Find m∠B

[tex]\frac{29}{sin82} =\frac{24}{sinB}[/tex]

Step 2: Solve for ∠B

29sinB = 24sin82°

sinB = 24sin82°/29

B = sin⁻¹(24sin82°/29)

B = 55.038°

Step 3: Find m∠A

180 - (55.038 + 82)

180 - 137.038

m∠A = 42.962°

Step 4: Find BC

[tex]\frac{29}{sin82} =\frac{BC}{sin42.962}[/tex]

Step 5: Solve for BC

29sin42.962° = BCsin82°

BC = 29sin42.962°/sin82°

BC = 19.9581

Answer:

(D) [tex]f^{-1}{(x$) has an x-intercept of (-36, 0).[/tex]

(E)[tex]f^{-1}{(x)[/tex] has a range of all real numbers.

Step-by-step explanation:

Given the function: [tex]f(x)= -\dfrac23x-24[/tex]

[tex]f(x)+24= -\dfrac23x\\$Multiply both sides by $ -\dfrac32\\x=-\dfrac32(f(x)+24)\\f^{-1}(x)=-\dfrac32f(x)-36[/tex]

When y=f(x)=0

[tex]f^{-1}(x)=-\dfrac32(0)-36\\f^{-1}(x)=-36[/tex]

Therefore, [tex]f^{-1}(x)$ has a x-intercept of -36[/tex]

Also, [tex]f^{-1}(x)[/tex] has a range of all real numbers.

Therefore, Options D and E are correct.

Answer:

4 and 5

Step-by-step explanation:

EDGE

Answer:

$110

Step-by-step explanation:

we know

selling price = cost price + profit.

given

selling price of TV = $121

profit = 10%of cost

selling price of TV = cost of TV + 10%cost of TV

121 = cost of TV + 10/100 cost of TV

=> 121 = (100 cost of TV + 10 cost of TV)/100

=> 121*100 = 110 cost of TV

=> cost of TV = 121*100/110 = 110

Thus, cost price of TV is $110(option A)

Answer:208

Step-by-step explanation:

13 x 16 = 208

<!> Brainliest is appreciated! <!>

Answer:

arrow 4

Step-by-step explanation:

The amount of energy needed in the transformation from liquid to gas is equal to the gas to liquid transition.

Boiling is the mechanism by which a substance passes from the liquid phase to the gaseous form.

Like water diagram in phase:

Evaporisation is a method of phase shift in which the water transitions from a liquid to a gas (water vapour).

Condensation is the process of phase shift in which water transitions from a gas to a liquid, and the vapour becomes a cloud.

Answer:

4

Step-by-step explanation:

ya boy did the test

Answer:

2. -3, 1.

3. -2, 0.

4. 6, 8.

5. 20.

Step-by-step explanation:

2. x - 3y + 6 = 0

-3y = -x -6

y = 1/3x + 2

y + 4 = -5/4(x - 1)

y + 4 = -5/4x + 5/4

y = -5/4x + 5/4 - 16/4

y = -5/4x - 11/4

If you sketch these two lines on paper (or draw them on a graphing calculator), you will find that they intersect at (-3, 1).

So, the values you enter on the response would be -3, 1.

3. x + 3y = -2

x = -3y - 2

-3x + 5y = 6

-3(-3y - 2) + 5y = 6

9y + 6 + 5y = 6

14y + 6 = 6

14y = 0

y = 0

x + 3 * 0 = -2

x + 0 = -2

x = -2

-3 * -2 + 5 * 0 = 6

Since everything works out, the solution to the two equations is (-2, 0).

So, the values you enter on the response would be -2, 0.

4. 3x - 4y = -14

2x + 5y = 52

2(3x - 4y = -14)

3(2x + 5y = 52)

6x - 8y = -28

6x + 15y = 156

6x + 15y = 156

-6x + 8y = 28

23y = 184

y = 8

3x - 4 * 8 = -14

3x - 32 = -14

3x = 18

x = 6

2 * 6 + 5 * 8 = 12 + 40 = 52

Everything works out, so your solution is (6, 8).

Your answer will be (6, 8).

5. For a system of equations to have no solution, the y's and the x's must have the same coefficients.

5x - Ky - 10 = 0

y = 1/4x + 6

-Ky = -5x + 10

Ky = 5x - 10

1/5Ky = x - 2

1/20Ky = 1/4x - 1/2

1/20K = 1

K = 20

y = 1/4x - 1/2

y = 1/4x + 6

1/4x - 1/2 = 1/4x + 6

1/4x - 1/4x = 6 + 1/2

0 = 6.5

There is no solution, so K = 20.

Hope this helps!!

Answer:

Option D is the correct option.

Explanation:

Since, there is a solid circle(blue) at X=4 which implies the value '4' is included in the inequality solution.

Hope this helps...

Good luck on your assignment...

Answer:

Step-by-step explanation:

No of people using both gym and pool that is N( gup ) = 25

No of people using both track and pool that is N( tup ) = 30

No of people using both track and gym that is N( tug ) = 17

No of people using all that is N( gutup) = 6

No of people  using two or three facilities

= 25+30+17- 2 x 6

= 60

Total no of people = 125

No of people using only one facility

= 125 - 60

= 65 .

Ratio of people using only one facility

= 65 / 125

.52

Required probability

= .52 .

probability that the person uses exactly one of the facilities

= .52

Answer:

72 rocks.

Step-by-step explanation:

A "easier" way to find out the answer, is to find how much rocks Jessica paints in 1 minute.

Divide 12 with 8:

12/8 = 1.5

Next, multiply the number you got (1.5) with 48:

48 x 1.5 = 72

Jessica can paint 72 rocks in 48 minutes.

~

Answer:

72 rocks

Step-by-step explanation:

So let’s create the following ratio 12:8

The 12 is the amount of rocks and the 8 is the time in minutes.

So we have to find how many rocks she can paint in 48 minutes.

So we make the following ratio x:48.

So we need to find x the amount of rocks she can paint in 48 minutes.

So to find x we have to divide 48 by 8 = 6.

So if the ratio is x6 we can just do 12 * 6 which is 72.

So she can  paint 72 rocks in48 minutes.

Answer:

The value of a is 50°.

Step-by-step explanation:

In an isosceles triangle, 2 sides have the same lengths and same angles so we can assume that the other side of the triangle is 65°.

Given that the total angle of a triangle is 180°, so have to subtract it :

[tex]a = 180 - 65 - 65[/tex]

[tex]a = 180 - 130[/tex]

[tex]a = 50[/tex]

Answer:

1/7

Step-by-step explanation:

x/y

Plug in the values.

(2)/(14)

Simplify.

1/7

Answer:

1/7

Step-by-step explanation:

=> x/y

Given that x = 2, y = 14

=> (2)/(14)

=> 1/7

Answer:

9.7 , 310.4

Step-by-step explanation:

length of each side = 64/8=8

using theorem Pythagoras

A²=10.5² – (8/2)²

A=9.7 ft

area of triangle

1/2×8×9.7=38.8

area of octagon

38.8×8=310.4

The Length of the octagon  is 9.7 and the area of octagon is 310.4.

Length of octagon

Length of each side = 64/8

Length of each side =8

Pythagoras theorems

A²=√10.5² – (8/2)²

A²=√110.25 – 16

A²=√94.25

A=9.7 ft

Area of octagon

Area of triangle=1/2×8×9.7

Area of triangle=38.8

Area of octagon=38.8×8

Area of octagon=310.4

Therefore the Length of the octagon  is 9.7 and the area of octagon is 310.4.

Learn more about Length and  area of octagon here:https://brainly.com/question/358118

#SPJ9

Answer:

3

Step-by-step explanation:

1/2 is 3 times 1/6, because 3/1  [tex]\frac{3}{1} * \frac{1}{6} = \frac{3}{6}[/tex] and 3/6 is the same as 1/2.  Thus, he can make 3 bowls of granola.

Answer:

£100

Step-by-step explanation:

if the ratio is 7:3, the difference between them is 7-3 . = 4.

So,

4x = £40

Now, calculate x

x = £10

Now,

we are able to calculate:

7x (Bridget's share) = £70

3x (Caroline's share) = £30

Sum = £100

Hope this helps.

Good Luck

Answer:

Step-by-step explanation:

Q1: <B = 150 °

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

8x-10 = 3x+90

5x=100 (subtract 3 from both sides)

x=20   (divide both sides by 5)

x = 20

<B= 3x +90

<B = 3 (20) +90

<B = 60 + 90

<B = 150

Q2: 62

An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.

An angle is 34 more than its complement.

Let x represent the angle.

Let y represent its complement.

x= 34 +(90-x)

y= (90-x)

x + y = 90

34 + (90-x) + (90-x) =90

x= 62

Check the answer.

x= 34 more than complement.

62-34=28

62+28=90

Checked!

Words of encouragement:

Good luck!

Answer:

3  CUPS pints

Step-by-step explanation:

Multiple to get it by doing this (1/2) US pint x 3 = 1.5 US pints *2= 3 cups

Answer:

Step-by-step explanation:

Use the Pythagorean theorem to find the altitude.

h^2 = 9^2 - 6.4^2

h^2 = 40.04

h = 6.328

area = base * height/2

area = (2 * 6.4) * 6.328/2

area = 40.5 square units

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▹ Answer

B. -48

▹ Step-by-Step Explanation

Distribute each number to factor so you can solve

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

-3024

Step-by-step explanation:

7 x (-3) x (-12)^2=

PEMDAS says exponents first

7 x (-3) x (144)=

Then multiply from left to right

-21 x (144)=

-3024