kelsey purchases a coupon book with discounts for her favorite coffee shop: every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book. what are the slope and Y intercept of the line represented by the points shown in the table?

Answer:

y = 70 + 30x

slope 30

y intercept 70

Step-by-step explanation:

Answer:

6(x + 20)

Step-by-step explanation:

you need to divide both numbers by six.

I recommend downloading photomath for a more detailed explanation and for help with math in the future.

Answer: 24.24 miles

Step-by-step explanation:

We should note that 1000 metres = 1 kilometer.

Imelda rode her bicycle 39 kilometers which will be converted to meters a:

= 39 × 1000

= 39000 meters

Since 1 meter = 1.094 yards

39000 meters = 39000 × 1.094 = 42666 yards

To find find the distance Imelda rode her bicycle to the nearest mile goes thus:

1 mi = 1760 yd

42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles

Answer:

24.24

Step-by-step explanatio i looked at the answer above thank if you

like that

Answer:

Step-by-step explanation:

Given

Solving for n

Answer:

The possible graph is "A". A further explanation is given below.

Step-by-step explanation:

The given values are:

Dominick spends on running

= 0.70 hours

He spends on swimming

= 1.5 hours

This week,

Dominick spends more than six hours.

If,

Number of runs be "x".

Number of swimming be "y".

then,

⇒ [tex]0.75x+1.5y>6[/tex]

⇒ [tex]75x+150y>600[/tex]

⇒ [tex]x+2y>8[/tex]

Therefore, [tex]x+2y=8[/tex]

x = 0

y = 4

So the above is the correct answer.

Answer:

D. [tex]2^{18}[/tex]

Step-by-step explanation:

The expression is: [tex](2^{6}) ^{3}[/tex] * [tex]2^{0}[/tex]

For the first term: When a term with an exponent is inside parentheses with another exponent on the outside, the two exponents are multiplied by each other:

6 * 3 =  18

Now the expression looks like this: [tex]2^{18}[/tex] *   [tex]2^{0}[/tex]

Any number to the power of zero is 1.

So the equation now looks like this:  [tex]2^{18}[/tex] * 1

After you multiply the two terms, you end up with  [tex]2^{18}[/tex].

Answer:

The answer is D 2^18

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

Twice mean multiply by 2

and twice a number is 2x (If you let x be the "number")

increase means adding by

increase by 1 is adding by 1

Is means =

is -11 is

=-11

now that we have all the things we add it up

Wice a number increased by 1 is -11:

2x+1=-11

Now you move the 1 to the other side by subtracting by 1 on both sides:

2x+1-1=-11-1

Simplify:

2x=-12

divide both sides by 2:

x=-6

Hope this helps!

Answer:

the equation to finding slope is this:

y2-y1 / x2-x1

Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.

5-0 / -2-2

5/-4

-5/4 is the slope

Step-by-step explanation:

Answer:

[tex]m=\frac{-5}{4} \\[/tex] which is the slope.

Step-by-step explanation:

Since we have two points on the line, we can easily calculate the slope.

Point 1 = (-2, 5)

Point 2 = (2, 0)

[tex]m=\frac{rise}{run}\\m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{0-5}{2-(-2)} \\m=\frac{-5}{4}[/tex]

Answer:

x=1.5 y=2.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the first equation to solve the second equation

y = 4.25 - x

16.90x + 4(4.25 -x) = 36.35

16.90x + 17 - 4x = 36.35

12.90x = 19.35

x = 1.5

y = 4.25-1.5

y= 2.75

x=1.50

y=2.75

Complete question is;

In a hydraulic system, a 100-newton force is applied to a small piston with an area of 0.0020 m².

This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?

Answer:

A2 = 1 m²

Step-by-step explanation:

Using Pascal's Law which is here applied to mechanical advantage of a hydraulic piston, we can find the area of the large piston from;

F1/A1 = F2/A2

We are given;

Force of small piston: F1 = 100 N

Area of small piston; A1 = 0.0020 m²

Force of small piston: F2 = 50000 N

Thus;

Making A2 the subject, we have;

A2 = (F2/F1)A1

A2 = (50000/100) × 0.0020

A2 = 1 m²

Answer:

Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]

Step-by-step explanation:

The general form of equation of line is given by:

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

When a line passes through origin it has no y-intercept so the equation will become

[tex]y = mx[/tex]

Slope is given by the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

(x1,y1) = (0,0)

(x2,y2) = (7,2)

Putting the values in the formula

[tex]m = \frac{7-0}{2-0} = \frac{7}{2}[/tex]

Putting the value of slope in equation of line

[tex]y = \frac{7}{2}x[/tex]

Hence,

Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]

Answer:

y = 2/7x

Step-by-step explanation:

ap.ex

Answer:

x = 9/2

Step-by-step explanation:

4x + 8 = 6x - 1

4x - 6x = - 1 - 8

-2x = -9

2x = 9

x = 9÷2

x = 9/2

-TheUnknownScientist

Answer:

a) Equation is: 3x+4=22

b) Solving the equation we get the number x = 6

Step-by-step explanation:

a) Equation

Let the number be x.

Translating the statement into mathematical form:

Multiply the number with 3 i.e 3x

Add four i.e 3x+4

I get twenty two means: 3x+4=22

So, Equation is: 3x+4=22

b) Solve the equation:

3x+4=22

subtracting 4 on both sides

[tex]3x+4=22\\3x+4-4=22-4\\3x=18[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{18}{3}\\x=6[/tex]

So, the number x = 6

Answer:

The percentage profit of the bookshop will make on the whole is 27%.

Step-by-step explanation:

The following are given in the question:

Copies of books for sale = 650

Selling price per copy = 75

Copies sold at 5% discount = 300

Discount rate = 5%, or 0.05

Percentage profit per copy = 30%, or 0.30

To calculate cost per copy, the following formula is used:

Percentage profit per copy = (Selling price per copy – Cost per copy) / Cost per copy …….. (1)

Substituting the values into equation (1) and solve for Cost per copy, we have:

30% = (75 - Cost per copy) / Cost per copy

0.30 * Cost per copy = 75 - Cost per copy

(0.30 * Cost per copy) + Cost per copy = 75

1.30 * Cost per copy = 75

Cost per copy = 75 / 1.30

Cost per copy = 57.6923076923077

Therefore, we have:

Total cost = Copies of books for sale * Cost per copy = 650 * 57.6923076923077 = 37,500

Selling price at 5% discount = 75 * (100% - Discount rate) = 75 * (100% - 5%) = 75 * 95% = 71.25

Revenue from sales at selling price at 5% discount = Selling price at 5% discount * Number of sales at 5% discount = 71.25 * 300 = 21,375

Revenue from the remaining copies sold at 75 per copy = (Copies of books for sale - 300) * 75 = (650 - 300) * 75 = 350 * 75 = 26,250

Total revenue = Revenue from sales at selling price at 5% discount + Revenue from sales at 75 per copy = 21,375 + 26,250 = 47,625

Total profit = Total revenue - Total cost = 47,625 - 37,500 = 10,125

To calculate the percentage profit of the bookshop will make on the whole, the following formula is used:

Percentage profit on the whole = (Total profit / Total cost) * 100 ................ (2)

Substituting the relevant values form above into equation (2), we have:

Percentage profit on the whole = (10,125 / 37,500) * 100

Percentage profit on the whole = 0.27 * 100

Percentage profit on the whole = 27%

Therefore, the percentage profit of the bookshop will make on the whole is 27%.

Answer:

1. $6.88

2. 16 oz box

3. 5 dollars if u were to buy the 11 pound I think

Step-by-step explanation:

1. 24 pack because if you got 2 packs of Diet coke for 3.99 each then it would be 7 something dollars which is higher than 6.88

2. cheaper for more

Answer:

i think it's c

Step-by-step explanation:

12:6 can be done as 4:12 also saying 1:3

Answer:

Look at the Latin root. Mono means one, so [tex]2x^{2}[/tex] is an example because it is only made up of one term. Bi means two, so [tex]3x^{3}[/tex]+4 is an example because it was two terms. Tri means three, so there needs to be three terms for it to be a trinomial. [tex]2x^{5}[/tex]-3x+5 is an example of a trinomial because it was three terms within the equation.

I hope this helps!

Answer:

Yes, I think. I could be wrong but hopefully not!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it follows a pattern so it is a function. I am pretty sure about this because I learned about functions and non functions a few classes ago.

Answer:

2x -1

Step-by-step explanation:

x*x =2x 3-4 =-1

2x+-4

Answer:

The value of 2a will be: 16

Step-by-step explanation:

Given the equation

[tex]5 + 6a = 7a-3[/tex]

subtract 5 from both sides

[tex]5+6a-5=7a-3-5[/tex]

[tex]6a=7a-8[/tex]

[tex]-a=-8[/tex]

Divide both sides by -1

[tex]\frac{-a}{-1}=\frac{-8}{-1}[/tex]

[tex]a=8[/tex]

As we know that [tex]a=8[/tex] is the solution to the equation.

Hence, the value of 2a will be:

[tex]2a = 2(8)[/tex]    ∵ [tex]a=8[/tex]

     [tex]= 16[/tex]

Therefore, the value of 2a will be: 16

Answer:

adding 5 tiles each time

Answer:

Integers are 7, 8, 9

Step-by-step explanation:

Let three positive consecutive integers are (n - 1), n, (n + 1)

If the product of the second and the third integer is 72,

n(n + 1) = 72

n² + n = 72

n² + n - 72 = 0

n² + 9n - 8n - 72 = 0

n(n + 9) - 8(n + 9) = 0

(n - 8)(n + 9) = 0

(n - 8) = 0 ⇒ n = 8

(n + 9) = 0 ⇒ n = -9

For n = 8,

Integers will be ⇒ 7, 8, 9

For n = -9,

Integers will be ⇒ -10, -9, -8

Since, all integers are positive,

7, 8, 9 will be the answer.

The solution of the logarithmic functions [tex]log_9 ( \dfrac{1}{81} )[/tex] would be, - 2. Hence option b is true.

Given that,

The expression is, [tex]log_9 ( \dfrac{1}{81} )[/tex].

Used the formula of logarithmic functions that are,

[tex]log (m^n) = n log m[/tex]

And, [tex]log_a (a) = 1[/tex]

Now, simplify the given logarithmic functions by using the above formula,

[tex]log_9 ( \dfrac{1}{81} )[/tex]

[tex]log_9 ( 81 )^{-1}[/tex]

[tex]log_9 ( 9^2)^{-1}[/tex]

[tex]log_9 ( 9)^{2 \times -1}[/tex]

[tex]log_9 ( 9)^{-2}[/tex]

Apply the formula [tex]log (m^n) = n log m[/tex],

[tex]- 2 log _ 9 (9)[/tex]

Since, [tex]log_a (a) = 1[/tex]

Hence, it can be written as,

[tex]- 2 log _ 9 (9)[/tex]

[tex]- 2 \times 1[/tex] [tex]= - 2[/tex]

Therefore, the solution is,

[tex]log_9 ( \dfrac{1}{81} ) = - 2[/tex]

To learn more about logarithms visit:

brainly.com/question/30085872

#SPJ6

Answer:

C: 15.9cm

Step-by-step explanation:

d= circumference/π

= 50/3.14

=15.9 cm

Answer:

c

Step-by-step explanation:

on edge 2020

Answer:

the answer is b

Step-by-step explanation:

Answer:

Step-by-step explanation: