Steven, Stacy, and Jimmy all go to an amusement park. Their combined entry fee for the park is $44. All three friends bought a soda, which was $2 each, and nachos. At the end of the day, they spent a total of $71. How much did each order of n,nachos, cost?

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

STEPS USING FACTORING

a  

2

−13a+42=0

To solve the equation, factor a  

2

−13a+42 using formula a  

2

+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.

a+b=−13

ab=42

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.

−1,−42

−2,−21

−3,−14

−6,−7

Calculate the sum for each pair.

−1−42=−43

−2−21=−23

−3−14=−17

−6−7=−13

The solution is the pair that gives sum −13.

a=−7

b=−6

Rewrite factored expression (a+a)(a+b) using the obtained values.

(a−7)(a−6)

To find equation solutions, solve a−7=0 and a−6=0.

a=7

a=6

Answer:

x(Gail)=8 and y(Helen)=18

Step-by-step explanation:

2x+2=y and x+10=y

Plug y in and solve for x

2x+2=(x+10)

2x-x=10-2

x=8

Plug x in and solve for y

(8)+10=y

y=18

Answer:

c) 82

Step-by-step explanation:

It's 82 degrees because of the opposite interior angle theorem, which means that those two angles are the same, as well as any pair of opposite interior angles.

Answer:

The equation 4 ∙ 5 = 5 ∙ 4 demonstrates the Commutative property of multiplication.

Step-by-step explanation:

Commutative property is A × B = B × A

So the equation  4 ∙ 5 = 5 ∙ 4 is same as commutative property

Answer:

The equation 4 ∙ 5 = 5 ∙ 4 demonstrates the commutative property of multiplication.

Step-by-step explanation:

The commutative property means that the positions of the numbers on each side of the equation can be swapped and both sides would be equal.

You can think of it as A x B = B x A

Answer:

B

Step-by-step explanation:

First take 12.52 and subtract 11.54 to find the amount it had decreased. (.98)

After that, divide it by 4 (because it increased by .98 over 4 years) and you get .245 a year.

and sense your starting value was 11.54 the +11.54 also checks out

Gage Millar, algebra 2 tutor.

The function modeling the given situation of retail price of electricity in cents per kilowatt hour, x years after 2010 is: Option C. [tex]f(x) = 0.245x + 11.54[/tex] (in cents/kilowatt hour)

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Since the problem asks us to find the cost of electricity x years after 2010, thus, the increasing rate will add up itself x times and this addition will then be added to the price which is getting increased, which is 2010's price.

(since 2011's price = price of 2010 + constant increment,

2012's price = price of 2010 + twice of constant increment, and so on for further years)

Thus, f(x) = increment per year times x + price in 2010

Now assuming that increment in price per year is constant, we see:

Increment per year in electricity price= (price in 2014 - price in 2010)/4

Increment per year in electricity price = (0.98)/4 = 0.245 cents per year

Thus, we get:

[tex]f(x) = 0.245x + 11.54[/tex] as the price of the electricity in cents per kilowatt hour after x years from 2010.

Learn more about forming equations here:

https://brainly.com/question/11938672

Answer:

-1/2

Step-by-step explanation:

It is negative since the slope is declining, meaning that it is a negative slope!

It is 1/2 because we go down one and move 2 to the right, meaning that we get 1/2 and then for the negative slope get -1/2

Consider marking this as brainliest it really helps!

Answer:

x=74º

y=65º

Step-by-step explanation:

53+53+x=180    >     106+x=180     >   x=74

50+2y=180        >    2y=130            >    y=65

Answer:

x = 145, y = 35

Step-by-step explanation:

so y is equal to 35 because alternate interior angles are equal to each other (you can search this up if you're confused) and x = 145 because of supplementary angles so I did 180 - 35 = 145. hope this helps!

Answer:

Samantha would have to watch 4 Movies so x=4

Step-by-step explanation:

Answer:

I think the way they are telling is that the triangle will move to the third quadrant,

If so, then the coordinates of P'Q'R' will just be the negative of PQR.

Answer:

20

Step-by-step explanation:

($8.25 x 5 hours) + 10x <= 175

41.25 + 10x <= 175

x =4  that is 4 weeks

so multiple 5 hours by 4 to get 20 hours

that way she is earning 175 per week

Answer:

-48

Step-by-step explanation:

we are going to say. 87-45x3=_48

Answer:

h

Step-by-step explanation:

b

Answer:

5x + 4y - 20 = 0

Step-by-step explanation:

1. Find the two points given: (0,5) and (4,0)

2. Find the slope of the line:

      m = [tex]\frac{5-0}{0-4} = \frac{-5}{4}[/tex]

3. Find y intercept by plugging in one point into the y-intercept form

      y = (-5/4) x + b

      0 = (-5/4) (4) + b

      b = 5

4. Write out the equation in y-intercept form

      y = (-5/4) x + 5

5. Rewrite it in Ax + By + C = 0 form

        (5/4) x + y - 5 = 0

6. Since A B C all need to be integers, multiply the whole equation by 4

       5x + 4y - 20 = 0

Answer: 36

Step-by-step explanation:

8-2+30

6+30

36

Answer:-3/4

Step-by-step explanation:

flip and switch the sign

Answer:

Perpendicular Slope: -3/4

Step-by-step explanation:

The perpendicular slope of a line is the opposite reciprocal.

Answer:

b. 180°

Step-by-step explanation:

Supplementary angles are angles that add up to 180°

Examples are 90° and 90°, 45°, and 135°, and 60° and 120°

-Chetan K

Answer:

[tex]{f}^{ - 1} (x) = \frac{3x}{2(1 + 2x)} + \frac{1}{2(1 + 2x)} [/tex]

I hope I helped you^_^

Answer:

C

Step-by-step explanation:

did da test

Answer:

slope of line 1

m = (-8 - 2) / (2 + 2)

m = -10/4 = -5/2

slope of line 2

m = (6 + 1) /(5 - 0)

m = 7/5

slope of line 3

m = (-2 + 7) /(2 - 4)

m = 5/ -2

m = -5/2

Line 1 and Line 2 are neither.

Line 1 and Line 3 are parallel since they have same slope.

Line 2 and Line 3 are neither.

Answer:

I think you copied this. there are alot od commas

Step-by-step explanation:

Answer:

The ratio to has a unit rate of .

The ratio , , , to , , , has a unit rate of , , , .

Step-by-step explanation:

Answer:

no its not 50 points lier

Step-by-step explanation:

30 28 8 21 15