Each fall, a horse ranch gives wagon rides. Tickets for adults are $10 each, and tickets for children are $6 each. No more than 25 people can fit on the wagon, and the ranch owners have a goal earning a minimum of $200 on each ride.

The system of inequalities that represents this situation is graphed below, where x represents the number of adults and y represents the number of children on the wagon ride.
X+y<_ 25
20x+ 6y_> 200

A. (19,6)
B. (17.5,5)
C. (10,15)
D. (30,-10)

Answer:

f ≥ 35

Step-by-step explanation:

Took the test on Aleks, it was right! :)

Answer:

3 meters

Step-by-step explanation:

Distance covered in 1 second

[tex] = \frac{7.5}{2.5} \\ \\ = 3 \: m[/tex]

Answer:

The answer is C. 2 pounds

Step-by-step explanation:

Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.

This is for the ones on Plato

Answer:

The value of each expression when x=3 will be -20 and -20.

Step-by-step explanation:

Given the expression

-4x-8

setting x=3

= -4(3)-8

=-12-8

=-20

Given the expression

-2(x+1)-2(x+3)

setting x=3

=-2(3+1)-2(3+3)

=-2(4)-2(6)

=-8-12

=-20

so we conclude that the value of both the expressions was -20 when we substituted the value x=3.

Therefore, the value of each expression when x=3 will be -20 and -20.

Answer:

B) 2x-y=5

Step-by-step explanation:

Info we have:

The x-intercept is 2.5

The slope is 2/1=2

Therefore, our equation so far is y=2x+b

We plug in our x-intercept in and make y=0 to get b:

0=2(2.5)+b

0=5+b

-5=b

Therefore, the equation of the line is y=2x-5

Given our found equation, we can see which option works.

A is wrong because 2x+y=-5 -> y=-5-2x -> y=-2x-5

B is right because 2x-y=5 -> -y=5-2x -> y=-5+2x -> y=2x-5

C is wrong because x+2y=-5 -> 2y=-5-x -> y=-2.5-1/2x -> y=-1/2x-2.5

D is wrong because 2y-x=10 -> 2y=10+x -> y=5+1/2x -> y=1/2x+5

Answer:

Two thirds of a bag.

Step-by-step explanation:

1/2 * 2 = 1

1/3 * 2 = 2/3

Hope this helped!

The height of plant B growing at a rate of 3.33 centimeters per week should have a height of 19.98 cms.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

First we need two points (x, y) to obtain the slope.

Assuming height to be 'y' and weeks to be 'x'.

Therefore, (0, 0) and (3, 10) are the two points.

Slope(m) = (10 0)/(3 - 0).

Slope(m) = 10/3.

Slope(m) = 3.33

Now, To obtain the y-intercept.

10 = 3(3.33) + b

b = 0.01 Or neglegible.

Therefore y = 3.3x.

Now, In the 6th week, the height of plant B will be,

y = 3.33(6).

y = 19.98 or 20 cm.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Answer (-2,-3)

Step-by-te exnation:

multiply the equation by number

Step-by-step explanation:

(x - 2)(2x + 3)

=2x²+3x-4x-6

=2x²-x-6

Answer:

2x^2-x-6

Step-by-step explanation:

use foil,

1) x*2x=2x^2

2) x*

majikalmochi avatar

i sent too early lol

2) x*3= 3x

majikalmochi avatar

3) -2*2x=-4x

4) -2*3=-6

majikalmochi avatar

now put that all together

2x^2+3x-4x-6

simplify

2x^2-x-6

Answer:

A

Step-by-step explanation:

Use pythagorean theorem: a^2+b^2=c^2

12^2+x^2=13^2

144+x^2=169

x^2=25

x=5

HTH :)

Answer:

I think that it is proportional

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. $7.

b. $1x.

c. $20.

d. $5y.

e. $1x + $5y.

I hope this helps, sorry if I am incorrect. Have a nice day!

Answer:

Step-by-step explanation:

y = a(x - h)² + k        - vertex form of  the equation of the parabola with vertex (h, k)  

So  the equation of the parabola with vertex (5, 7):

y = a(x - 5)² + 7

The parabola passes through point (2, -2) so if x=2 then y=-2

- 2 = a(2 - 5)² + 7

- 2 -7 = a(-3)² + 7 -7

- 9 = 9a

a = - 1

So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):

                                        y = - 1(x - 5)² + 7

Answer:

f(t)=18,000(0.85)^t

Step-by-step explanation:

18,000 is the a value, and since it is depreciating 15% becomes -.15

so we are going to set it up like f(t)=18,000(1-0.15)^t

Final answer is f(t)=18,000(0.85)^t

The exponential function that gives the value of the car t years after its purchase is f(t) = $18,000(0.85^t).

The car would cost less with the passage of time. This is because it loses its value with the passage of time.

The formula that can be used to determine the value of the car is:

FV = P (1 - r)^n

f(t) = $18,000 x (1 - 0.15^t)

f(t) = $18,000(0.85^t)

To learn more about exponential function, please check: https://brainly.com/question/18760477

Answer: 36 / 2 1/4

Step-by-step explanation:

From the question, we are informed that Jared needs to drill holes 2 1/4 inches apart in a 36 inch section of his garage. The expression that he can use to figure out the number of holes he will need to drill will be:

= 36 ÷ 2 1/4

From the expression we can then calculate the number of hours to drill. This will be:

= 36 / 2 1/4

= 36 / 9/4

= 36 × 4/9

= 16

He'll need to drill 16 holes

Answer:

18c

= 18(36)

= 648

Step-by-step explanation:

i hope this helps and im on edmentum

Answer: - 8/5

Step-by-step explanation:

M1*M2=-1

Substuting M1 as 5/8

We get

5/8*M2=-1

M2=-8/5

Answer:

y = -3

Step-by-step explanation:

Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3

Answer:

The equation has one solution at which y = -3.

Step-by-step explanation:

To find the value of y, we need to isolate it from the rest of the equation.

[tex]\displaystyle{-3y-2=7}\\\\-3y = 9\\\\\bold{y = -3}[/tex]

We can check to make sure that y = -3 by substitution.

[tex]\displaystyle{-3(-3)-2 = 7}\\\\9-2=7\\\\7= 7 \ \checkmark[/tex]

Because we got a true statement, we can determine that y = -3.

Answer:

A= -1

Step-by-step explanation:

x^2+3x+6

Step-by-step explanation:

this is the answer I got for some reason it is not an option on your question

Answer:

12/26 + 6/11 = 12+6/11 ............

Answer:

The answer is C.

Step-by-step explanation:

Answer:

1/3 kg/m3

Step-by-step explanation:

density= mass/volume

mass=40 kg

volume=5m×8m×3m=120m³

density=40kg/120m³=1/3 kg/m³

Answer:

1/3 kg per cubic m or 0.33kg per cubic m

Step-by-step explanation:

density = mass

                volume

=     40kg          =     40kg

5m x 8m x 3m  =    120cubic metres

= 1/3 kg per cubic m or 0.33 kg per cubic m

Answer:

sorry i just need points but ya

Step-by-step explanation:

Answer:

1-4/5

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

4/5 = 80

80 is the price percentage.

5/5 - 4/5 = 1/5

1/5 = 20

so, 20%

Answer: Number of water bottles a team can fill  from a single watercooler = 48

Step-by-step explanation:

Given: A watercooler contains 160 cups of water.

Each person on a team fills a water bottle with [tex]3\dfrac13[/tex] cups of water from the cooler.

Here, [tex]3\dfrac13=\dfrac{10}{3}[/tex]

Now , Number of water bottles a team can fill  from a single watercooler = [tex]160\div \dfrac {10}3[/tex]

[tex]=160\times\dfrac3{10}\\\\=16\times3=48[/tex]

Hence, Number of water bottles a team can fill  from a single watercooler = 48

Number of water bottle IT team can feel a single watercooler =48

Answer:

x=-1/2 decimal form -0.5

Step-by-step explanation:

Multiply -2 and 1 then divide by 4,-2/4. x = −1 /2

Answer:

69.7

Step-by-step explanation:

[tex]x^{2} + 6^{2} = 70^{2}\\x^{2} + 36 = 4,900\\4,900 - 36 = 4,864\\\sqrt{4,864}\\69.7 = x[/tex]