Victor is attending a local fair and wants to go on at least 12 rides. The spinning rides cost $2 each, and the roller coasters cost $3 each. Victor has $30. Write a system of inequalities to determine if the combination of 6 spinning rides and 7 roller coasters is viable.

A. x+y≥12
2x+3y≤30
The combination of 6 spinning rides and 7 roller coasters is viable.


x+y≥12
2x+3y≥30
B. The combination of 6 spinning rides and 7 roller coasters is viable.


x+y≥12
2x+3y≤30
C. The combination of 6 spinning rides and 7 roller coasters is not viable.


x+y≥12
2x+3y≥30
D. The combination of 6 spinning rides and 7 roller coasters is not viable.

Answer:4

Step-by-step explanation: 3x+1−2x=2x+5−2x

                                               x + 1 = 5

                                               x+1−1=5−1

                                                x=4

Answer:

Simplifying

3x + -1 = 2x + 5

Reorder the terms:

-1 + 3x = 2x + 5

Reorder the terms:

-1 + 3x = 5 + 2x

Solving

-1 + 3x = 5 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-1 + 3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x

-1 + 1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0

-1 + 1x = 5 + 0

-1 + 1x = 5

Add '1' to each side of the equation.

-1 + 1 + 1x = 5 + 1

Combine like terms: -1 + 1 = 0

0 + 1x = 5 + 1

1x = 5 + 1

Combine like terms: 5 + 1 = 6

1x = 6

Divide each side by '1'.

x = 6

Simplifying

x = 6

Answer is 6

Answer:

$3.21

Step-by-step explanation:

Answer:

Hey have you tried on your own to make sure you understand it?

Step-by-step explanation:

Answer:

y = 3x + 1

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

d + 4c  just replace the d and c with numbers

c is 8 and d is 7

7+32=39

Answer:

[tex]567 { {yx6 { {x}^{2} }^{?} }^{?} }^{2} \times \frac{?}{?} 6 {x156346x { \frac{6y9yx9 { { \sqrt[ \sqrt{6x9 = x { \div x \times - { + x2x2 {?}^{2} }^{2} }^{2} } ]{?} }^{?} }^{2} \times \frac{?}{?} }{?} }^{?} \times \frac{?}{?} }^{2} [/tex]

Step-by-step explanation:

copy that in your paper good luck to you

Answer:

It's False

Step-by-step explanation:

both signs are < not ≤, which means they are not included. [ ] means the number is included, but ( ) means they are not.

Basically:

( )   =   > <    

[ ]   =   ≥ ≤

The graph of the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers) is a linear equation given by, y = 400 - 0.8x

Given that Karl filled up the tank with 400 liters of fuel initially.

As time passes and more distance is covered, the amount of fuel will decrease. Thus the amount remaining is inversely proportional to the distance driven.

Let 'x' be the distance driven (in kilometers) by the truck and 'y' be the remaining fuel (in liters) in the tank.

It says that the truck consumes 0.8 liters of fuel for each kilometer driven.

Then the linear equation modelling this will be :

y = 400 - 0.8x

The graph can be drawn with values of 'x' on the x-axis and the values 'y' on the y-axis.

  x        y

 1        399.2

 2       398.4

 3       397.6

 4        396.8  and so on.

The question is incomplete. Find the complete question below:

Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters for each kilometer driven.

Graph the relationship between the amount of fuel remaining in the trucks tank (in liters) and distance driven (in kilometers).

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Answer:

I would recommend a Samsung TV but that is just what I think oh nvm a TV show um Big mouth on Netflix

Answer:

The mean value of Jayden is 6.75 .

Step-by-step explanation:

Given that the formula for mean is (total sum of scores) ÷ (total number of times). So first, we have to find the total sum of scores that Trinity gets :

[tex] \frac{total \: scores}{6} = 4.5[/tex]

[tex]total \: scores = 4.5 \times 6[/tex]

[tex]total \: scores \: = 27[/tex]

Assuming that Jayden also gets the score of 27 and played only 4 times so we have to find the Jayden's mean value :

[tex]mean = \frac{27}{4} [/tex]

[tex] mean = 6.75[/tex]

Answer:2,-12

Step-by-step explanation:

Answer:

1.5f + 10 = 28.5

Step-by-step explanation:

Answer:

12 i think

Step-by-step explanation:

28.50-10.50=18

18 divided by 1.50= 12

Answer:

(6x5 -6) +56

(30-6) +56

24+56

80

Step-by-step explanation:

Answer: its simplest form, because 53 is a prime number so is not divisible by anything other than itself and 1, and 38 is smaller than 53.

Answer:

It is already in simplest form

Step-by-step explanation:

38 and 53 cannot be further divided

Step-by-step explanation:

m=(y1-y)/(x1-x2)

m=(3-(-4))/(-4-(-2))

m=7/-2=-7/2

y=mx+c

y=-7/2x+c

11, 12, 13

Step-by-step explanation:

gb ndndhdyydhsbdgr

Answer:

454

Step-by-step explanation:

The formula for this arithmetic sequence is: 9n+4

1st term: 9(1)+4 = 13

2nd term: 9(2)+4 = 22

3rd term: 9(3)+4 = 31

4th term: 9(4)+4 = 40

.

.

.

50th term: 9(50)+4 = 450+4

                                = 454

Answer:

7x^(2) - 3x + 8

Step-by-step explanation:

(9x^(2) + 8) - (2x^(2) + 3x)

distribute the "-" sign.

9x^(2) + 8 - 2x^(2) - 3x

Now combine like terms; (an "x^(2)" goes with an "x^(2)", not with an "x")

9x^(2) - 2x^(2) -3x + 8

7x^(2) - 3x + 8

Answer:

Picture A: statement c is incorrect. It should be: The scale factor used was 0.4.

Picture B: statement B is incorrect. It should be: Line KL corresponds with line FG.

Second pic:

Amos was correct

Tash was correct

Both were correct

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

7.52 inches is bigger than 7 inches

Answer:

This is an percentage change question. By any chance if you have an maths textbook, look for units that contains the topic: Percentage Change

Step-by-step explanation:

$95 x 6.25% = 5.9375

So, 95 + 5.9375 = ($) 100.9375 (Answer)

Or ($) 100.1 (Rounded Answer) (1 decimal place)

Stay safe and Merry Christmas! :)

Answer & Step-by-step explanation:

The domain is the x values and the range is the y values.

Domain:

Note the lowest x values the line includes. Although it starts at x=2, it curves back to x=1 and then curves past 1. Therefore:

[tex]domain:x\geq 1[/tex]

x is greater than or equal to 1.

Range:

Find the lowest y value that is included in the line. Since the line starts at y=-1 and only moves upward after then:

[tex]range:y\geq -1[/tex]

the y values are greater than or equal to -1.

:Done

Answer:

its divided into sixths

Answer:

Step-by-step explanation:

remember that the surface area is

S=2lw+2lh+2hw

S=2(15*20)+2(15*8)+2(8*20)=600+240+320=1160 cm^2

The surface area of the cuboid is 1160 square cm whose dimensions are

l= 20cm, w= 8 cm and h = 15 cm.

Given:

Length = 20 cm

width = 8 cm

Height = 15 cm

So, the formula for Surface area of Cuboid is

= 2(lw+ wh + lh)

Substituting the values l= 20cm, w= 8 cm and h = 15 cm into the formula as

= 2(lw+ wh + lh)

= 2 (20 x 15 + 8 x 15 + 8 x 20)

= 2 (300 + 120 + 160)

= 2 (580)

= 1160 square cm

Learn more about Surface area here:

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Answer:

Step-by-step explanation:

The two legs of an iscosles right triangle are equal. The sides opposite each 45 degree angle are equal.  

6^2 + 6^2 = x^2

36 + 36 = x^2

x^2 = 72

sqrt(x^2) = sqrt(72)

x = 6√2

Answer:

[tex]2\frac{7}{10}[/tex]

Step-by-step explanation:

[tex]\frac{3}{2}+\frac{6}{5}[/tex]

[tex]=\frac{15}{10} +\frac{12}{10}[/tex]

[tex]=\frac{27}{10} =2\frac{7}{10}[/tex]