A bicycle has a listed price of $588.95 before tax. If the sales tax rate is 8.25% , find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.

[tex](x+8)+4x = 7x -16\\\\\implies 5x +8 = 7x -16\\\\\implies 7x -5x = 8+16 \\\\\implies 2x = 24\\\\\implies x = \dfrac{24}2\\\\\implies x= 12[/tex]

Answer:

1.Identify the slope.

2.Identify the point.

4.Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

5.Write the equation in slope-intercept form.

Step-by-step explanation:

Answer:

y=-\frac{2}{3}x+3

Step-by-step explanation:

[tex]y=mx+b[/tex]

There are 4 variables in this equation, and 3 of them are already given. We already have the slope and the (x, y) of a known point. Plug those 3 into the equation and solve for b:

[tex]7=-\frac{2}{3}(-6)+b\\7=4+b\\b=3[/tex]

Now, with the slope and the y-intercept, you can write the equation of the line:

[tex]y=mx+b\\\\y=-\frac{2}{3}x+3[/tex]

Answer:

32 Strawberries

Step-by-step explanation:

The amount of strawberries you need for 48 cups of juice is 32

Answer:

x-7

Step-by-step explanation:

a) Point O

b) [tex]\overline{OB}[/tex]

c) [tex]\overline{AB}[/tex]

4) arc DE (m)

5) [tex]\overline{DE}[/tex]

6) Semicircle AEB

The second and last one.

The second one multiplies the cost of each type of ticket by two, therefore saying that you wanted to buy two of each type of ticket.

The last one multiplies the cost of a single ticket of all three types and multiplies it by 2.

Answer:

The second and last one

Step-by-step explanation:

Hope this helps and have a good day!

Answer:

The surface area = 548 in²

Step-by-step explanation:

The surface Area = 2lw + 2lh + 2wh  using l = 10 in, w = 7 in, and h = 12in.

Substitute into the formula and solve

  2lw + 2lh + 2wh

= 2· 10·7 + 2· 10 · 12 + 2 ·7 ·12

=  140  +  240 + 168

= 548 in²

Answer:

x = 1

x= -2.5

Step-by-step explanation:

we can use perfect square method quadratic method or solve it using a calculator directly

The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.

Given :

The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:

Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.

[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]

Step 3 - Simplify the above equation.

[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]

Step 4 - Now, substitute the value of (h = 0) in the above equation.

[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

g = 18 – 2h; 18 gallons

Step-by-step explanation:

The answer above is correct.

Answer:

20+24= 2(10+12) = 4(5+6)

Those are two ways to factor 20+24.

The equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x

Given:

cost per sack of crayfish = $62. 50

Delivery fee = $20. 00

y = Total cost

x = sacks of crawfish

The equation:

Total cost = Delivery fee + cost per sack of crayfish(sacks of crawfish)

y = 20 + 62.50x

Therefore, the equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x

Learn more about equation:

https://brainly.com/question/4916384

Step-by-step explanation:

Just sum the number of cows and buffaloes:

2p^2 - p + 4 + p^2 + p + 1 = 3p^2 +5 animals.

Answer:

Step-by-step explanation:

here is an explanation:

2p²-p+4+p²+p+1=3p²+5

You can add 2p² and p² because they are both squared (²). -p+p=0, because the first p is negative (-). Lastly, you can add 4+1=5. Hope this helped! Lmkp if you are still confused  :) <3

Answer:

r = 6

.....................

Answer:

3

Step-by-step explanation:

First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip)  9/4 x  4/3=36/12.  THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.

Answer:

The second one: r x-axis. R 90(x,y)

Step-by-step explanation:

You can see that from ABC to A'B'C', it's rotated a positive 90 degrees. then, from A'B'C' to A"B"C", reflected across x-axis. and when writing the transformation, it goes by last to first. that's why the R 90 comes first.

The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the rule which describes the composition of transformations that maps ΔABC to ΔA"B"C".

Now, You can see that from ABC to A'B'C',

it's rotated a positive 90 degrees.

And, Then, from A'B'C' to A"B"C", reflected across x-axis.

Now, when writing the transformation, it goes by last to first. that's why the R 90 comes first.

Thus, The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ5

[tex]x+5y = 7~~~....(i)\\\\\\2x+4y = -4~~~.....(ii)\\\\\\\text{Multiply equation (i) by 2,}\\\\\\2x+10y = 14~~~.....(iii)\\\\\\(iii) - (ii):\\\\2x+10y-2x-4y = 14-(-4)\\\\\implies 6y = 14+4\\\\\implies 6y = 18\\\\\implies y = \dfrac{18}6\\\\\implies y = 3[/tex]

Answer:

10111

Step-by-step explanation:

10111

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\ + \frac{10}{16}\[/tex]

[tex]= \frac{4}{16}\ + \frac{10}{16}\\[/tex]

[tex]= \frac{14}{16} \\[/tex]

[tex]= \frac{7}{8}[/tex]

hope it helps :)

mark brainliest!

Answer:

Step-by-step explanation:

We are being asked for times, so we can express the rate in terms of seconds per meter.

  (15 seconds)/(14 meters) = (15/14) seconds per meter = 1 1/14 seconds/meter

__

1) It will take Robot A 1 1/14 seconds to go 1 meter.

2) it will take Robot A 4 2/7 seconds to go 4 meters. (4 times as long)

Answer:

(8, 0)

(-2, 0)

(-3, 0)

Step-by-step explanation:

x - 8 = 0

x = 8

x + 2 = 0

x = -2

x + 3 = 0

x = -3

[tex](x-8)(x+2)(x+3) =0\\\\\implies x -8 =0~~~ \text{or}~~~x+2 =0 ~~~ \text{or}~~~x+3 = 0\\\\\implies x = 8 ~~~~~~~~ \text{or}~~~~~~x = -2 ~~~ \text{or}~~~ x = -3\\\\\\\text{Hence the roots are}~ 8, -2 ~\text{and} ~-3[/tex]

Answer:

a. f(12) = - 1

b. x = 27 when f(x) = 4

Step-by-step explanation:

We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4

To find f(12) we simply plug in 12 into x and evaluate it

[tex]f(x)=\frac{1}{3} x-5[/tex]

plug in 12

[tex]f(12)=\frac{1}{3} (12)-5[/tex]

multiply 12 and 1/3 to get 4

[tex]f(12)=4-5[/tex]

subtract 5 from 4 to get -1

[tex]f(12)=-1[/tex]

Now we want to find the value of x when f(x) = 4

To do this we substitute 4 for f(x) and solve for x

[tex]f(x)=\frac{1}{3} x-5[/tex]

substitute 4 for f(x) and solve for x

[tex]4=\frac{1}{3}x -5[/tex]

add 5 to both sides

[tex]9=\frac{1}{3} x[/tex]

multiply both sides by 3

27 = x

And we are done.

So f(12) = -1 and x = 27 when f(x) = 4

For a plug in 12 for x:

f(12) = 1/3(12)-5

f(12) = 4-5

f(12) = -1

For b plug in 4 for x:

f(4) = 1/3(4)-5

f(4) = 4/3 -5

f(4) = 0.75-5

f(4)= -4.25

If any questions leave a comment

Answer:

[tex]\frac{973}{324} [/tex]

Step-by-step explanation:

[tex] ( - \frac{ 27}{64} - ( - \frac{125}{8} ))\times ( \frac{2}{3} )^{4} [/tex]

[tex] ( - \frac{ 27}{64} + \frac{125}{8} ) \times \frac{16}{81} [/tex]

[tex] \frac{973}{64} \times \frac{16}{81} [/tex]

[tex] \frac{973}{4} \times \frac{1}{81} [/tex]

[tex] \frac{973}{324} [/tex]

Answer:

the answer should be C

Step-by-step explanation:

Hope this helps!

Answer:

21

Step-by-step explanation:

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