a bicycle shop is offering a 15% discount on a bike that has an original price of 275. there is an additional 5% discount off the sale price. what is the final price of the bike, including both discounts?

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Explanation using mental math:

He uses 11.5 cherries for his pie, which is half the amount left (after eating those 7 cherries).

This means 2*11.5 = 23 cherries were left over after he ate those seven. In other words, half of 23 is 11.5

If we reverse time, then we get those 7 cherries back to get 7+23 = 30 cherries total. Divide those up equally between the two bags and we get 30/2 = 15 cherries per bag.

Going forward in time we have 15 cherries per bag, so 2*15 = 30 total. He eats 7 to be left with 30-7 = 23 cherries. That cuts in half to 23/2 = 11.5 cherries for his pie.

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Explanation using algebra

c = number of cherries in each bag.

10 < c < 30 based on the second sentence

2c = number of cherries total from both bags combined

2c-7 = the amount left after Chris eats those 7 cherries

(2c-7)/2 = he uses half of the remaining cherries for the pie

Set that equal to the 11.5 number stated and solve for c.

(2c-7)/2 = 11.5

2c-7 = 11.5*2

2c-7 = 23

2c = 23+7

2c = 30

c = 30/2

c = 15

We effectively follow similar steps as when we did the mental math route.

Notice how c = 15 makes 10 < c < 30 true.

Answer:

y=mx+b

Step-by-step explanation:

y-y1=m(x-x1) is point slope form

Answer:

y=mx+b

Step-by-step explanation:

Slope-intercept form is commonly referred to as "y=mx+b form", which can be remembered because m=slope and b=y-intercept. Hope that helps :)

Answer:

Here is the answer......hope u understand...

Answer:

Geometric sequences have a common ratio between terms.  TRUE

hope it helped ;-;''

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Using the method of cross- multiplication

[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] ⇒ ad = bc

If ad ≠ bc then equation is not true

A

[tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex] , then

10 × 6 = 12 × 5 = 60 ← equation is true

B

[tex]\frac{69}{100}[/tex] = [tex]\frac{6}{10}[/tex] , then

69 × 10 = 690 and 100 × 6 = 600

690 ≠ 600 ← equation not true

C

[tex]\frac{10}{5}[/tex] = [tex]\frac{200}{100}[/tex] , then

10 × 100 = 5 × 200 = 1000 ← equation is true

D

[tex]\frac{12}{4}[/tex] = [tex]\frac{6}{2}[/tex] , then

12 × 2 = 4 × 6 = 24 ← equation is true

Hi!

I can help you with joy! :)

• Here, we need to determine if each equation is true by simplifying fractions.

• The 1st equation states that

10/12 = 5/6

Is it true?

Let’s simplify 10/12 to find out.

Divide 10 and 12 by 2:

5/6

Thus. The 1st equation is true.

How about the next one?

We have 3 options left.

69/100=6/10

Is that correct?

Nope!

Why?

If we simplify 69/100, we will not get 6/10.

In fact, 69/100 cannot be simplified.

Thus, the second equation is not true.

Now, how about Options C and D?

Well, both of these equations ARE true.

Thus, the second equation is not true.

Hope it helps.

Do ask if you have any query.

~Silent~

Answer:

Total Price with Tax: $ 605.72

Step-by-step explanation:

We can write an equation for the total cost of the bicycle as:

C=p+(t×p)

Where:

C is the total cost we are trying to calculate.

p is the list price - $556.98

t is the tax rate - 8.75%. "%" means "out of 100" or "per 100", Therefore 8.75% can be written as 8.75 [tex]\frac{x}{100}[/tex].

Substituting and solving for C gives:

C = $556.98([tex]\frac{8\\.75}{100}[/tex]×$556.98)

C = $556.98+$48.74

C = $605.72

Answer:

Part A: 8.4 minutes per mile

Part B: 38 minutes

Explanation on Part B: (put it in your own context)

8.4 + 1.1 = 9.5 minutes per mile

As 9.5 * 4 = 38 minutes

Enjoy ;)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{4}}}\implies \cfrac{1+1}{-7}\implies -\cfrac{2}{7}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{2}{7}}(x-\stackrel{x_1}{4})\implies y+1=-\cfrac{2}{7}(x-4) \\\\\\ y+1=-\cfrac{2}{7}x+\cfrac{8}{7}\implies y=-\cfrac{2}{7}x+\cfrac{8}{7}-1\implies y=-\cfrac{2}{7}x+\cfrac{1}{7}[/tex]

Answer:

ok so lets find the difference on the table

from 5 to 8 is goes up 250.5(668-417.5)

so that means 3 tickets goes 250.5 so lets divide by 3

250.5 divide by 3=83.5 per ticket

83.5*6=501

501

Hope This Helps!!!

Answer:

Equation : $83.50x = Cost of the tickets

(where x = number of tickets)

Cost of 6 tickets : $501

Step-by-step explanation:

I'm not sure if this is the way they want you to do it, but what I did is :

1) Solve a proportion to figure out the cost of 1 ticket

5/417.50 = 1/x

5x = 417.50(1)

5x/5 = 417.50/5

x = 83.50

So, the cost of 1 ticket is $83.50

2) Create an equation

If x equals the number of tickets :

83.50x = Cost of the tickets

3) Solve for 6 tickets

83.50(6) = Cost of the tickets

501 = Cost of the tickets

Substitute x for the number of tickets, which is 6 and you'll get $501 :)

Answer:

There are an infinite number of solutions.

Step-by-step explanation:

An equation with 2 unknowns give an infinite amount of solutions, here is just one of the many:

Let y= 3 ( y can be any number)

(3) + 1 = -4x

4 = -4x

x = -4/4

x= -1

(x;y) = (-1;3)

Generally x and y can be any number, just let x or y be any number, then find the other variable based on the value of the number u assumed.

Answer:

315 dm3

Step-by-step explanation:

[tex]V=\frac{lwh}{3} \\\V=\frac{9*7*15}{3} \\V=\frac{945}{3} \\V=315[/tex]

Step-by-step explanation:

for x = 2

a = 500 × (3/5)²

for x = 4

b = 500 × (3/5)⁴ = 500×(3/5)²×(3/5)²

so,

a/b = (500 × (3/5)²) / (500 × (3/5)² × (3/5)²) =

= 1/(3/5)² = 1/(9/25) = 25/9 = 2.777777778...

Answer:

Step-by-step explanation:

In trapezoid JOKE, JO // EK

m∠J + m∠E = 180    {so-interior angles are supplementary }

m∠J +80 = 180

m∠J          = 180 - 80

m∠J = 100

m∠O + m∠K = 180   {Co-interior angles are supplementary}

m∠O + 50 = 180

      m∠O   = 180 -50

      m∠O = 130

Answer:

sorry I don't know

Step-by-step explanation:

you have no image I can't tell

Answer: 2

Step-by-step explanation:

Rectangles have 2 lines of symmetry. One of them is vertically down the middle, and the other one is horizontally down the middle lengthwise. However, you can not draw the 2 symmetry lines diagonally in a rectangle from each corner to the opposite corner. An image is attached for a reference/example of this.

I hope this helps!

Answer:

52-2=50-1=49-1=48/4=12/4=3

answer: 1 out of 4 chances to draw a queen

Step-by-step explanation:

The radius of the circle expressed as a mixed number is:  [tex]3\frac{11}{12}[/tex] inches.

Radius of a circle = half the measure of the diameter of a circle.

Given:

diameter of a circle = [tex]7\frac{5}{6}[/tex] inches

Therefore:

Radius of the circle = 1/2([tex]7\frac{5}{6}[/tex])

= 1/2(47/6)

= (1 × 47)/(2 × 6)

= 47/12

= [tex]3\frac{11}{12}[/tex] inches.

Therefore, the radius of the circle expressed as a mixed number is:  [tex]3\frac{11}{12}[/tex] inches.

Learn more about radius of a circle on:

https://brainly.com/question/24375372

Angle 1 = 54.

Step-by-step explanation:

54+36= 90 or 90-36=54

Answer:

31

Step-by-step explanation:

210 ft ÷ 7 ft = 30

There are 30 7-ft lengths of fence.

Think of putting a post at the end of each 7-ft length. That means you need 30 posts. Now you must add 1 post for the beginning.

Answer: 31

The solution to the given system is (-30, 80)

The solution to the given system of the equation of line is the point where both lines intersect.

From the given diagram, we can see that the lines intersect at a coordinate point (x, y)

The location of these coordinate point on the xy-plane is (-30, 80). Hence the solution to the given system is (-30, 80)

Learn more eon system of equation here:https://brainly.com/question/14323743

Answer:

The answer is (30,90)

Step-by-step explanation:

the reason is because it says to round to the nearest tenth the numbers not rounded is 32.6 and 86.6

Answer:

Take the values in the box:

IQTR = 16 - 7

= 9

Answer:

x=90

y=78

z=70

Now

or,90+78+70

or,238 answer.

Answer:

use distribution and multiply by the variable of x

i am your teacher and i knew youd ask this question so i got on here i knew i could catch you, i want you in the principals office tommorrow after my class, understood?

Step-by-step explanation:

Answer:

24 feet

Step-by-step explanation:

a yard is 3 feet

8 yards is

8 × 3

24 feet

Answer:

1,000,000,000

Have a great day! :D

[tex] \frac{10 {}^{6} }{10 {}^{ - 3} } \\ {10}^{6 + 3} \\ {10}^{9} [/tex]

Answer:

4 ( n + 2 )

[tex]4(n + 2)[/tex]

Answer:

f(4) is 1/2

f(8) is 4

Step-by-step explanation:

Remember that the range is the output so when you have f(anything) that anything is the domain (x) and the =anything is the y value.

The area of a right triangle is the amount of space on it

The length of the base is 10 meters

The given parameters are:

Area = 15 square meters

Height = 3 meters

The area of the triangle is:

Area = 0.5 * Base * Height

So, we have:

15 = 0.5 * Base * 3

Divide both sides by 0.5

30 =  Base * 3

Divide both sides by 3

10 = Base

Rewrite as:

Base = 10

Hence, the length of the base is 10 meters

Read more about areas at:

https://brainly.com/question/24487155

Answer: 10 m

Step-by-step