The regular toll for the Sunshine Bridge is $1.50. A SunPass transponder can be purchased for $19.99. With it, the toll is reduced to $1.07 per crossing. How many times would you have to cross the bridge for the total costs with and without the transponder be the same? (Round to the nearest whole number) How much would this cost?

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \implies \qquad y=\stackrel{\stackrel{m}{\downarrow }}{4.7} x\underset{\stackrel{\uparrow }{b}}{-18}[/tex]

The statements regarding the scatter plot are classified as follows:

There can either be a positive association between variables or a negative association between variables, as follows:

For this problem, we have that as the variable x increases, the variable y decreases, hence there is a negative association in the scatter plot.

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Answer:

16 degrees

Step-by-step explanation:

2x+6 = 38

-6        -6

2x=32

Divide by 2

x=16

Answer:

C

Step-by-step explanation:

Answer:

15 dollars

Step-by-step explanation:

Since a shirt is an unknown cost, and the pants costs 18 dollars, they costed 33 dollars overall.

In order to find the shirt price, let's subtract the price of the jeans from the total price.

33-18=15

The shirt's price is 15 dollars.

Answer:

$15

Step-by-step explanation:

$33- total cost

-$18- pants cost

=$15 for the shirt cost

In other words 33-18=x

                            15=x

x being the cost of the shirt!

I hope this helped!

Using the volume of a cylinder, it is found that the approximate height of the container in inches is given by:

d. 15.48

The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

In this problem, Sam pours 3 gallons of water into a cylindrical container, and it will be 90% full. Hence, the volume, in cubic feet, is:

[tex]0.9V = \frac{3}{7.48}[/tex]

[tex]V = \frac{3}{0.9(7.48)}[/tex]

[tex]V = 0.4456[/tex]

The diameter of the container is 8 inches, hence the radius is of 4 inches = 0.3333 feet, considering a feet has 12 inches.

The height, in feet, will be given by:

[tex]V = \pi r^2h[/tex]

[tex]0.4456 = (0.3333)^2\pih[/tex]

[tex]h = \frac{0.4456}{(0.3333)^2\pi}[/tex]

[tex]h = 1.2768[/tex]

Considering a feet has 12 inches, in inches, the height will be of:

1.2768 x 12 = 15.48

Hence option D is correct.

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Answer: 3/8 books

Explanation: books read per week = b

1/4 = (2/3)b

1/4 = 2b/3

Cross multiply

2b × 4 = 3 × 1

8b = 3

b = 3/8

so the answer is 3/8

Answer:

A fence of 1964 m² is needed

Step-by-step explanation:

» Amount needed will be the area of the circular fence.

[tex]{ \tt{area = \pi {r}^{2} }} \\ { \tt{area = 3.14 \times ( {25}^{2} )}} \\ { \boxed{ \tt{ \: area = 1963.5 \: m {}^{2} }}}[/tex]

The average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.

Average rate of change = [tex]\frac{f(b) - f(a)}{b - a}[/tex].

Given the function, [tex]f(x)= 3^x + 25[/tex],

The average rate of change using the intervals of, x = 2 to x = 6 would be solved as shown below:

a = 2

b = 6

f(a) = [tex]f(2)= 3^2 + 25[/tex] = 34

f(b) = [tex]f(6)= 3^6 + 25[/tex] = 754

Average rate of change = [tex]\frac{754 - 34}{6 - 2} = \frac{720}{4}[/tex]

Average rate of change = 180

Therefore, the average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.

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Answer:

185 shrubs

Step-by-step explanation:

ratio plant : 1% = 5 : 1%

if the percent of shrubs in the garden is 37%, according to my ratio. every 1% is 5 plants, therefore, 37% = 37 x 5 = 185

Fractions are quotients of two integers

A better way to say what the 3 in 2/3 represents is that, 3 is the denominator

The fraction is given as: 2/3

A fraction is represented as: Numerator/ Denominator

By comparison;

Hence, a better way to say what the 3 in 2/3 represents is that, 3 is the denominator

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The Answer to your question is $5.40.

Answer:

n = [tex]\frac{(5a + 42)}{( 7 - a ) }[/tex]

Step-by-step explanation:

7(n - 6) = a(n + 5)

7n - 42 = an + 5a

7n - an = 5a + 42

n( 7 - a ) = 5a + 42

n = [tex]\frac{(5a + 42)}{( 7 - a ) }[/tex]

Answer:

D) [tex](-5,0),(3,0)[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+2x-15\\\\0=x^2+2x-15\\\\0=(x+5)(x-3)\\\\x=-5,x=3\\\\(-5,0),(3,0)[/tex]

Answer:

I, personally, would assume A, or 80°

Step-by-step explanation:

Answer: (-1/2, 0)

Step-by-step explanation: A reflection across the y-axis would simply mirror the x coordinate, making it x=-1/2 instead of x=1/2

Answer:

Wouldent that be 6 logs

Step-by-step explanation:

Answer:

what is what is what is 1 + 1

Answer:

answers below

Step-by-step explanation:

opposite angles are equal

angles can and mat are opposite

18x-1 = 15x+20

3x = 21

x=7

angle can = 53

angle mac = 180-53 = 127

angle mat = 65

angle tan = 180-65 = 115

Answer:

1. PQ

2. PR

3. OR/OP

4. OR/OP

5. RO

Step-by-step explanation:

168 children and 35 adults swam in the public pool

Let the number of children in the pool be x

Let the number of adult in the pool be y

If  203 people used the public swimming pool, then;

x + y = 203

Also,  if the daily prices are $1.75 for children and $2.25 for adults with the receipts for admission totaled $372.75, then;

1.75x + 2.25y = 372.75

175x + 225y = 37275

7x + 9y = 1,491

Substitute equation 1 into 2

7(203-y) + 9y = 1,491

1421- 7y + 9y = 1491

2y = 70

y = 35

Since x = 203 - y

x = 203 - 35

x = 168

Hence 168 children and 35 adults swam in the public pool

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Answer:

  18x +9h

Step-by-step explanation:

Such problems are tedious, but not difficult. The trick is to avoid making mistakes in the algebra.

  [tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{(9(x+h)^2)-(9x^2)}{h}\\\\=\dfrac{9(x^2+2xh+h^2)-9x^2}{h}=\dfrac{18xh+9h^2}{h}=\boxed{18x+9h}[/tex]

Answer:

Ok... is this supposed to be a question??

Answer:

Step-by-step explanation:

3/8 = 0.375

7/5 = 1.4

21/7 = 3.0

5/3 = 1.666667

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The balance in the account is $3,920.14

The formula for calculating the compound interest is expressed as

A = P(1 + r)^t

Given

Substitute

A = 3200(1+0.07)^3

A = 3,920.14

Hence the balance in the account is $3,920.14

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Answer:

x=16

Step-by-step explanation:

We can use ratios to solve

8         11

---- = -----------

x         6+x

Using cross products

8(6+x) = 11x

Distribute

48 +8x = 11x

Subtract 8x from each side

48 = 11x-8x

48 = 3x

Divide by 3

48/3 = 3x/3

16=x

Answer:

4,400 :)

Step-by-step explanation:

Answer and Step-by-step explanation:

Anytime that you are rounding a number, there is a rule that you should follow:

"Anything 1 - 4 is closest to the number before, or the lower side. Anything 5 - 9 is closest to the higher side of whatever round you are trying to get to."

If that doesn't make sense, let me explain.

In this case, we need to look at the hundreds placement, which is the 3 in this situation. But we can't look at that, because then we would be rounding to the nearest thousand.

(Important:) So, we need to look at the number behind it, which is 8. Eight is on the higher side of 5 - 9, which means that it grants us permission to round to the next hundred.

The is: 4,400.

I hope this helps.

Answer:

f (7x-6)=28x-29

Step-by-step explanation:

f (7x-6)=28x-29

Answer:

17/18 because

17/18=0.944444444