Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket

Find the slope, y-intercept and write the equation for this Linear Relationship. ​

Answer: $19.6

Step-by-step explanation:

Linear function: f(x)=mx+c

, where  m= rate of change in f(x) with respect to x.

c = Initial value.

Let c = Initial value of card , m= Charge per minute

x= Number of minutes calling time.

Then, 25.06= 38m+c   (i)

21.03=69m+c (ii)

Eliminate (ii) from (i)

[tex]4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13[/tex]

Put m in (i) , we get

[tex]25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30[/tex]

i.e. f(x)=-0.13x+30

if x=80 then

f(80)= -0.13(80)+30

=-10.4+30

=19.6

Hence, the remaining credit after 80 minutes of calls = $19.6

Answer:

5 servings

Step-by-step explanation:

2.5 gal x 16 cups each= 40 cups total

1 cup = 8 oz

40 oz / 8 oz = 5 servings

Answer:

The measure of the Arc BC is 80

both is 14 hope it helps

first picture is incorrect second one is correct. answer is 14

Answer:

-7

Step-by-step explanation:

Hope this helped! :)

Answer:

what is the question? probably describe the polynomial. okay. the polynomial 10v^2 + 50 is a quadratic (it is to the 2nd power) and a binomial (has 2 terms).

Answer: why?

Step-by-step explanation:

Answer: illegel input- too many equals signs

Step-by-step explanation:

Answer:

1 milli meter = 0.1 centi meter

Answer:

c

Step-by-step explanation:

it will eventually cancel

Answer:

C

Step-by-step explanation:

In five minutes it decreased by 10 gallons (5x2=10), In 10 minutes it decreased by 20 gallons.

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...

  s + (s+8) = 17

  2s = 17 -8 = 9

  s = 9/2 = 4.5

  s+8 = 4.5 +8 = 12.5

The two numbers are 4.5 and 12.5.

_____

Comment on problems of this type

A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...

  two numbers = (sum ± difference)/2

Here, that is ...

  two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)

Answer:

FOR YOU LOVE

Step-by-step explanation:

If a function is defined by a radical expression, we call it a radical function. The square root function is f(x)=√x f ( x ) = x . ... A radical function is a function that is defined by a radical expression.

THE PIC IN ABOVE IS EQUATION TRY TO ANSWER IT

PLEASS MARK ME AS BRAINLIEST LOVE YOU STAY SAFE

Answer:

1) x = 41.8 deg

2) x = 64.2 deg

3) x = 51.3 deg

Step-by-step explanation:

Problem 1

For angle x, 4 is the opposite leg and 6 is the hypotenuse.

sin x = 4/6

x = sin^-1 2/3

x = 41.8 deg

Problem 2

For angle x, 14 is the adjacent leg, and 29 is the opposite leg.

tan x = 29/14

x = tan^-1 29/14

x = 64.2 deg

Problem 3

For angle xm 25 is the adjacent leg, and 40 is the hypotenuse.

cos x = 25/40

x = cos^-1 5/8

x = 51.3 deg

Answer:

5.89E+12

Step-by-step explanation:

Answer:

thisl give u extra credit: 2.29*20 = 45.80 and 3.49*35 = 122.15.

Step-by-step explanation:

Answer:

1. 78.54 (area)

2. 25.13 (circumference)

3. 4.5 (radius)

4. 13 (diameter)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Get rid of the (   )

put the 49/64 into a √  sq root and it cancels out the 1/2

49/64       whats the square root of 49? 7  Ss root of 64 is 8

7/8

Answer: At point ([tex]-\frac{1}{2},-\frac{1}{2}[/tex])

Step-by-step explanation: Diagonal is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.

In other words, the diagonals of a square meet at their midpoint, which is found as the following:

(x,y) = [tex](\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})[/tex]

The opposite vertices of the given square are (-2,6) and (1,-7).

So, the intersection is

(x,y) = [tex](\frac{-2+1}{2} ,\frac{6-7}{2})[/tex]

(x,y) = [tex](-\frac{1}{2},-\frac{1}{2} )[/tex]

The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point [tex](-\frac{1}{2},-\frac{1}{2} )[/tex].

Answer:

Step-by-step explanation:

x²-7x+10=0

(x-2)(x-5)=0

x=2 or x=5

Answer:

Step-by-step explanation:

x2−7x+10=0

Step 1: Factor left side of equation.

(x−2)(x−5)=0

Step 2: Set factors equal to 0.

x−2=0 or x−5=0

x=2 or x=5

(You can confirm this by plugging in the numbers yourself)

Answer:

c

Step-by-step explanation:

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

Answer:

No. (see below)

Step-by-step explanation:

If you match up the ratios like this:

18 : 9

4 : 3

Matching the two numbers (one on top of another, since they correspond to each other), you can see that these are not equivalent.

Here's why:

The top ratio is 18 to 9, which can be represented by 18 total people to 9 girls in the amount of total people.

We know that the number of boys will also be 9 because 9 is half of 18.

Let's look at the second ratio:

This can be represented by 4 total people to 3 girls in the amount of total people.

4 - 3 = 1

So there would be only 1 boy. Meaning that they're not equal because 1 is not half of 4. It would only be 1/4.

1/4 ≠ 1/2

If we make them similar denominators, you can really see it:

1/4 ≠ 2/4

Answer:

20x+5=5x^2

Step-by-step explanation:

For this type of albreic question you want to simplify

4x^2+14x+6=9x^2-6x+1

first you take the common integers(That might not be the right word)

4x^2+14x+6=9x^2-6x+1

       +6x  -1  -4x^2

20x+5=5x^2

You cannot simplify any further

Answer:C

Step-by-step explanation:

37 +17.42-12.60-9.62+62.29 = 94.49

Step-by-step explanation:

We have

[tex](sc^2x-1)^2[/tex]

Which is the same as

[tex](sc^2x-1)(sc^2x-1)[/tex]

To expand this polynomial, we can use the FOIL method. Meaning that we multiply the Fronts, Outsides, Insides, and Lasts together and then add each of these products.

The two fronts are [tex]sc^2x[/tex] and [tex]sc^2x[/tex],

[tex](sc^2x )(sc^2x )=s^2c^4x^2[/tex]

The two Outsides are [tex]sc^2x[/tex] and [tex]-1[/tex],

[tex](sc^2x )(-1)=-sc^2x[/tex]

The two Insides are [tex]-1[/tex] and [tex]sc^2x[/tex],

[tex](-1)(sc^2x )=-sc^2x[/tex]

The two lasts are [tex]-1[/tex] and [tex]-1[/tex],

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

Now we just need to add these together to get

[tex]s^2c^4x^2-sc^2x-sc^2x+1\\\\s^2c^4x^2-2sc^2x+1[/tex]

Answer:

[tex]cot^{4} x[/tex]

Step-by-step explanation: