is calculating his expenses from his work trip to San Francisco. Below is the expense log he kept while traveling.

Expense Amount of Expense
Airfare $379.00 round trip minus $15.00 movie on plane
Hotel $154.00 per night × 3 nights
Dinner $65.00 plus $13.00 tip
Car Mileage $0.55 per mile × 63 miles
Keion will submit all of the expenses to his company for reimbursement except for the movie on the plane. How much will he be reimbursed for?

A
$784.65

B
$923.65

C
$925.65

D
$938.65

Answer:The answer is A

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

√

2

⋅

5

x=\frac{-({\color{#e8710a}{-7}}) \pm \sqrt{({\color{#e8710a}{-7}})^{2}-4 \cdot {\color{#c92786}{5}}({\color{#129eaf}{-18}})}}{2 \cdot {\color{#c92786}{5}}}

x=2⋅5−(−7)±(−7)2−4⋅5(−18)​​

2

Simplify

3

Separate the equations

4

Solve

Solution

=

7

±

4

0

9

√

1

0

Answer

y= 1.5x+4

Step-by-step explanation:

Answer:

-360

Step-by-step explanation:

Answer:

-360

Step-by-step explanation:

yes is it correct.................

Answer:

408 Cars

Step-by-step explanation:

Dividing 12 Hours by 1.5 hour

= 12/1.5 = 8

Now Multiplying 8 by 51

=51 x 8

= 408 cars  

Answer:

89.5 cm

Step-by-step explanation:

circumference of full circle = π2r = 3.14 x 2 x 19 = 119.32 cm

(270/360)(119.32) = 89.5 cm

Answer:

w + w

Step-by-step explanation:

w + w   * 1 is the coefficent of w *

1w + 1w

(1+1) w

2w

Answer:

w+w

Step-by-step explanation:

Answer:

1/∛x

Step-by-step explanation

Based on the therem of power of exponents;

a^-m = 1/a^m

Given the expression

x^-1/3

On comparison, you ca see that;

a = x

m = 1/3

Substitute into the general formula;

x^-1/3 = 1/a^1/3

Also, [tex]a^{\frac{1}{x} } = \sqrt[x]{a}[/tex]

Hence;

[tex]\frac{1}{x^{\frac{1}{3} } } = \frac{1}{\sqrt[3]{x} }[/tex]

This that the required expression is 1/∛x

Answer: 1/21

Step-by-step explanation:

total = 2 + 1 +4 = 7

1/7 x 2/(7-1) = 2/42

2/42 simplifies to 1/21

1/7: 1 doughnut out of a total of 7 items

2/(7-1): 2 mint cookies are available in the pool out of 6 items -> since one item has already been chosen without replacement, so now the total is 6.

Answer:

75 divided by 15 = 5 undershirts.

9514 1404 393

Answer:

  (a)  132

Step-by-step explanation:

Exterior angle DBA is the sum of the remote interior angles D and C.

  ∠DBA = 65° +67°

  ∠DBA = 132°

Answer:

V = 53.7 m/s ∠-21.41°

Step-by-step explanation:

Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt  where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s

So, v = u - gt

v = 0 m/s - 9.8 m/s² × 2 s

v = 0 m/s - 19.6 m/s

v =  - 19.6 m/s

Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)

So, V = √((50 m/s)² + (-19.6 m/s)²)

V = √(2500 m²/s² + 384.16 m²/s²)

V = √(2884.16 m²/s²)

V = 53.7 m/s

Its direction Ф = tan⁻¹(v/u')

Ф = tan⁻¹(-19.6 m/s/50 m/s)

Ф = tan⁻¹(-0.392)

Ф = -21.41°

So it velocity V = 53.7 m/s ∠ -21.41°

Answer:

2 * 2 * 2 * 2 * 2 * 2, 4 * 16, 8 * 8.

Step-by-step explanation:

To make this easier, let's find the values of all the answers.

2^6 = 64.

So now we compare the values.

6 * 6 * 6 * 6 * 6 * 6 = 46656.

2 * 2 * 2 * 2 * 2 * 2 = 64.

2 * 6 = 12.

4 * 16 = 64.

12 * 12 = 144.

8 * 8 = 64.

Answer:

22222241688

Step-by-step explanation:

I think I think I think

Answer: 40%

Step-by-step explanation:

Answer:

(5 , 3)

Step-by-step explanation:

x + y = 8 ----------------(I)

-x + 3y = 4 ----------(II)

Add equation (I) and (II) and so x will be eliminated and we can find the value of y

(I)      x + y    = 8

(II)   -x   + 3y = 4  

             4y = 12  {Divide both sides by 4}

y = 12/4

y = 3

Plugin y = 3 inn equation (I)

x + 3 = 8 {Subtract 3 from both sides}

     x = 8 -3

x = 5

Answer:

y = 2x +14

Step-by-step explanation:

2y - 4x = 10

=> 2y = 4x + 10

=> y = 2x + 5

          ↑ the slope of this equation

parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.

plug in point (-6, 2) & the slope "2" into the equation: y = ax + b   to find "b."

=> 2 = -6(2) + b

=> b = 14

plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b

=> y = 2x +14

Answer:

60 seconds

Step-by-step explanation:

The y-intercept is 60

Answer: 4.5 Seconds

Step-by-step explanation:

Hi there!

[tex]\large\boxed{r = 5 cm}[/tex]

The volume of a cone is as follows:

V = 1/3πr²h

We are given the volume and height, thus:

100π = 1/3πr²(12)

Begin by multiplying both sides by 3 (to cancel out the fraction):

300π = πr²(12)

Divide both sides by 12:

25π = πr²

Divide both sides by π:

25 = r²

Square root both sides:

5 = r

Answer:

the answer is 5 cm

hope this helps

Answer:

7

Step-by-step explanation:

1x2=2x3/1/2= 7

Answer:

7

Step-by-step explanation:

I did the question

Answer:

a = 5.07

Step-by-step explanation:

Here, we want to get the value of the side marked a

What we have is a right triangle

so, to find the value of a, we are to use the correct trigonometric ratio

The angle given faces a, which makes a the opposite

the side measure faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects the two is the sine

The sine is the ratio of the opposite to the hypotenuse

mathematically;

sine 25 = a/12

a = 12 * sine 25

a = 5.07

Answer:

The probability of both coins landing on tails is 25%

Step-by-step explanation:

A coin toss is a 50% chance to get on either side, if you toss 2 coins that probability is cut in half and becomes a 25% chance to get both of the coins to land on the same side.

Answer:

When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.

Step-by-step explanation:

Answer:

There is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

Step-by-step explanation:

the correct answer

Answer:

5

Step-by-step explanation

20 divided by 4 equals 5

Answer:

16 cm

Step-by-step explanation:

We're to find the length of RT.

Apply the leg rule which is given as,

Hypotenuse/leg = leg/part

Hypotenuse = PR = 7.2 + 12.8 = 20 cm

Leg = RT

Part = 12.8 cm

Plug in the values

20/RT = RT/12.8

Cross multiply

RT*RT = 20*12.8

RT² = 256

RT = √256

RT = 16 cm

Given:

In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G  is 110 degrees.

To find:

The measure of angle FEG.

Solution:

Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.

Using extrior angle theorem in triangle EFG, we get

[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]

[tex]5x+6x=110^\circ[/tex]

[tex]11x=110^\circ[/tex]

[tex]x=\dfrac{110^\circ}{11}[/tex]

[tex]x=10^\circ[/tex]

Now,

[tex]m\angle FEG=5x[/tex]

[tex]m\angle EFG=5(10^\circ)[/tex]

[tex]m\angle EFG=50^\circ[/tex]

Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.

Answer:

[tex] BD \approx 2.6[/tex]

Step-by-step explanation:

By angle bisector theorem:

[tex] \frac{3.4}{BD} = \frac{6.5}{4.9} \\ \\ BD = \frac{3.4 \times 4.9}{6.5} \\ \\ BD = \frac{16.66}{6.5} \\ \\ BD = 2.56307692 \\ \\ BD \approx 2.6[/tex]