Hong will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 55.96 and costs an additional 0.12 per mile driven. The second plan has an initial fee of 43.96 and costs additional 0.14 pre mile driven. How many miles would Hong need to. drive for the two plans to cost the same? ​

Answer:

Step-by-step explanation:

\(2x - 5 = 7 \\ 2x = 12 \\ x = 6\)

Hey there!

“Solve 2x – 5 = 7”

FIRST: ADD both SIDES by 5

2x – 5 + 5 = 7 + 5

CANCEL out: –5 + 5 because it gives you 0

KEEP: 7 + 5 because it helps us solve for x

7 + 5 = 12

NEW EQUATION: 2x = 12

SECOND: DIVIDE both sides by 2

2x / 2 = 12 / 2

CANCEL out 2 / 2 because that gives you 1

KEEP: 12 / 2 because it gives you the value of x

NEW EQUATION; x = 12 / 2

SOLVE ABOVE and you have your answer

12 / 2 = 6

Therefore, x = 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

110/150

Step-by-step explanation:

125/500 is smallest, since you can imagine the difference from 125 to 500 is much larger compared to the others! Then, 90/270 is second smallest, because 9/27 is simply one third. You can tell that 125/500 is smaller than one third, because 125x3 is less than 500. After that, we only have 56/100 and 110/150. We need the denominators to be the same.

56/100

110/150

100 is two thirds of 150. This means that we must divide the numerator by 2 and multiply it by three to balance the common denominator. 56/2 then x3 is 84, which is less than 110.

56/100 = 84/150

84/150 < 110/150

Therefore the largest fraction is the 110/150 school.

Answer:

Domain: -2,0,1,3,4

Range: 2,3

Yes its a function

Step-by-step explanation:

The percentage change in GDP is 2.04%

Percentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.

The formula of percentage change is given as

Percentage change =[ (New increase - old value) / old value] * 100

Percentage change = [(14.72 - 14.42) / 14.72] * 100

Percentage change = 2.04%

In this case, there is a percentage decrease of 2.04%

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Answer:

this? hope it helps ........

Answer:

The answer is area=32pi-64 and the perimeter is 8pi

Step-by-step explanation:

Answer:

i cant see it

Step-by-step explanation:

umm

Answer:

5xy-9x+9y  

Step-by-step explanation:

Ya

Answer: i don't know what you want but

If you want this simplified/combined like terms: 5xy-9x-9y

The value of x in this proposition would be the first option i.e. \(-13\frac{1}{4}\)

4/11= -33/x+5,

to get the value of x we need to get the x to the left hand side,

4(x+5)= -33,

4x+20 = -33.

subtracting 20 from both the sides,

4x= -33-20

4x = -53.

dividing both the sides by 4,

x= -53/4

x= \(-13\frac{1}{4}\) ,

which is option A in the given question

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Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

\(\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2\)

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

Answer:0

On edge

Step-by-step explanation:

Answer:any number is correct

Step-by-step explanation:

4(3x+1)=12x+4

12x+4=12x+4

12x-12x=4-4

0=0

This equation has no answer.

Actually any number you put in place of x this equation will be true so we can say the answer is

X=infinity

Answer: All

Step-by-step explanation:

The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The standard deviation, d = 182.56,

The mean, m = 265.95,

The observation value, X = 235.90

Calculate the z score by the following formula given below,

Z = (X - m) / d,

Here, Z is the Z score,

Z = 235.90 -  265.95 / 182.56

Z =  -0.165

Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

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You know that the patient is to receive the medication at this rate:

Let be "x" the number of milligrams you will administer the medication if the patient weighs 50 kilograms.

Using the data given in the exercise, you can set up this proportion:

Solving for "x", you get:

Hence, the answer is:

Answer:

x = 48

Step-by-step explanation:

36/x = x/64

x² = 36 x 64 = 2304

x = √2304 = 48

Answer:

y = -3

Step-by-step explanation:

it crosses the y axis at -3. Also, it's horizontal so the slope is zero.

The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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Answer:

B

Step-by-step explanation:

if a polynomial f(x) is divisible by (x - a) , then f(a) = 0

for the polynomial to be divisible by (x - 3) then the polynomial will equal zero when x = 3 , that is

3³ - 9(3)² + 3n - 12 = 0

27 - 9(9) + 3n - 12 = 0

27 - 81 + 3n - 12 = 0

3n - 66 = 0 ( add 66 to both sides )

3n = 66 ( divide both sides by 3 )

n = 22

Answer:

It would take 5 min

Step-by-step explanation:

It would take him 5 min because he only need to travel a quarter of the distance so it's only a quarter of the time

Step 1

The given equation is

Required: To find the real zeroes by factorization and the turning points.

Step 2

Find the number of real zeroes

Step 3

Find the number of turning points.

Therefore, there are 7 real zeroes and 6 turning points; 0, 2 and 4

The answer is option A

9514 1404 393

Answer:

  Pia drove faster

Step-by-step explanation:

Speed is the ratio of distance to time. If the time is the same, the greater distance is associated with the greater speed.

Pia drove farther in 3 hours, so drove faster.

Answer:

Pia drove faster than Ben, because they drove for the same amount of time, but Pia traveled farther. Pia drove 20 more kilometers than Ben, but she and Ben drove for the same amount of time.

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

trust me

Answer:

15

Step-by-step explanation:

The given is a right triangle divided into two parts by a sector

so 3x + 45 = 90 subtract 45 from both sides

3x = 45 divide both sides by 3

x = 15

Answer:

If you are asking me to combine the expressions, then we can combine like terms to get 19x-6

Step-by-step explanation:

The compounded amount earned in Big Sky Bank is $40,365.00.

The compounded amount earned in Valley Bank is $13,248.24.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + r/n)^{nt}\)

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = 10% of 60,000

P = 6000

t = 10 years

Big sky Bank:

r = 20%

n = 2 (semiannually)

A = 6000 \((1 + 0.1)^{20}\)

A = 6000 x \(1.01^{20}\)

A = $40,365.00

Valley Bank:

r = 8%

n = 4 (quarterly)

A = 6000 \((1 + 0.02)^{40}\)

A = 6000 x \(1.02^{40}\)

A = $13,248.24

Thus,

Big Sky Bank compounded amount is $40,365.00.

Valley Bank compounded amount is $13,248.24.

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Answer:

The simplest form of

78/99

is

26/33

.

Answer:

The plane is 388 miles far from the airport.

Step-by-step explanation:

We know that, the angle between southeast and south directions is \(135^\circ\).

The plane travels as per the triangle as shown in the attached image.

A is the location of airport.

First it travels for 210 miles southeast from A to B and then 210 miles south from B to C.

\(\angle ABC = 135^\circ\)

To find:

Side AC = ?

Solution:

As we can see, the \(\triangle ABC\) is an isosceles triangle with sides AB = BC = 210 miles.

So, we can say that the angles opposite to the equal angles in a triangle are also equal. \(\angle A = \angle C\)

And sum of all three angles of a triangle is equal to \(180^\circ\).

\(\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow \angle A+135^\circ+\angle A = 180^\circ\\\Rightarrow \angle A = \dfrac{1}{2} \times 45^\circ\\\Rightarrow \angle A =22.5^\circ\)

Now, we can use Sine Rule:

\(\dfrac{a}{sinA} = \dfrac{b}{sinB}\)

a, b are the sides opposite to the angles \(\angle A and \angle B\) respectively.

\(\dfrac{210}{sin22.5^\circ} = \dfrac{b}{sin135^\circ}\\\Rightarrow \dfrac{210}{sin22.5^\circ} = \dfrac{b}{cos45^\circ}\\\Rightarrow b = 210\times \dfrac{1}{\sqrt2 \times 0.3826}\\\Rightarrow b = 210\times \dfrac{1}{0.54}\\\Rightarrow b \approx 388\ miles\)

So, the answer is:

The plane is 388 miles far from the airport.

Figure O is reflected followed by a translation of 4 units in the left direction.

Given that:

Figure O and Figure P are shown on the graph.

The translation does not change the shape and size of the geometry. But changes the location.

Figure O is translated leftward by 4 units.

The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.

The translated figure O is reflected across the x-axis.

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Answer:

c = 75.4 ft

Step-by-step explanation:

I did this based on my math! Hope this helps!

Answer:

75.36 ft

Step-by-step explanation:

circumference of a circle is 2πr

2(3.14)(12ft)= 75.36 ft

Answer:

x = 300 feet

Step-by-step explanation:

In the given right triangle,

Length of the string of the kite = 324 feet

Angle between the string and the ground = 68°

By applying law of Sines in the given right triangle,

\(\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}\)

Now we substitute the values of angles and sides in the formula,

\(\frac{\text{Sin68}}{x}=\frac{\text{Sin90}}{324}\)

\(\frac{\text{Sin68}}{x}=\frac{1}{324}\)

x = 324 × Sin(68)°

x = 300.41 feet

x ≈ 300 feet

Therefore, measure of side x = 300 feet will be the answer.