The cost of a ticket to an amusement park is $42 per person. For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group. Marcos's ticket cost $30. Write and solve an equation to find the number of people in Marcos's group.

Given:

[tex]\dfrac{?}{5}+\dfrac{18}{20}=\dfrac{30}{20}[/tex]

To find:

The missing value.

Solution:

Let x be the missing value.

We have,

[tex]\dfrac{x}{5}+\dfrac{18}{20}=\dfrac{30}{20}[/tex]

[tex]\dfrac{x}{5}+\dfrac{9}{10}=\dfrac{3}{2}[/tex]

Subtract [tex]\dfrac{9}{10}[/tex] from both sides.

[tex]\dfrac{x}{5}=\dfrac{3}{2}-\dfrac{9}{10}[/tex]

[tex]\dfrac{x}{5}=\dfrac{15-9}{10}[/tex]

[tex]\dfrac{x}{5}=\dfrac{6}{10}[/tex]

[tex]\dfrac{x}{5}=\dfrac{3}{5}[/tex]

Multiplying both sides by 5, we get

[tex]x=3[/tex]

So, the missing value is 3.

Therefore, the correct option is C.

Step-by-step explanation:

If you mean 7⁶, the exponent is 6. (A)

When written as a^m, a is a number and m is the exponent.

Answer:

n + y

Step-by-step explanation:

a² - b² = (a +b)(a - b)

[tex]\frac{n^{2}-y^{2}}{n+y}[/tex] ÷ [tex]\frac{n - y }{n + y } = \frac{(n + y)(n - y)}{(n + y)}*\frac{(n + y)}{(n - y)}\\\\[/tex]    

    { (n + y) in the denominator and numerator will be cancelled ;

       (n - y) in the denominator and numerator will be cancelled

                    = n + y

Answer:

1,500 dollars

Step-by-step explanation:

You would do 125 times 12 = 1,500

Answer:

1,500$  Multiply 12 by 125!

Step-by-step explanation:

  Brainliest?

Hiii! My goal is to have a lot of friends and help a lot of people on this app. Sooooo...... if you could friend me, then go to all the question I will ever answer and put 5 stars and like them? Please? It will make my year. :)

Answer:

Step-by-step explanation:

Option A

9.21 * 10³ = 9,210 ≠ 921

Option A is FALSE.

Option B

9.21 * 10¹ = 92.1

Option B is TRUE.

Option C

0.921 * 100 = 92.1 ≠ 921

Option C is FALSE

Option D

0.921 * 10⁴ = 9,210

Option D is TRUE

Option E

0.0921 * 10² = 9.21

Option E is TRUE

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A, B and C are the points based at the heights and valleys of the given curve.

y-coordinates of these points always decide, whether the point is a local maxima or local minima.

y-coordinate of A → -4

y-coordinate of B → 0

y-coordinate of C → -4

Ends of the curve are moving towards infinity, so the absolute maximum is not defined.

Local minimum → -4

Local maximum → 0

Therefore, point representing local maximum is B(0, 0).

Points representing local minimum are A(-2, -4) and C(2, -4).

Option (4) will be the correct option.

Answer:

800 different sets of digits

Answer:

i've inserted 3 pictures. make sure you see each one of them :)

Step-by-step explanation:

Answer:

C) 182.5

Step-by-step explanation:

i just took the test

Answer:

c to the power of 5 x c = c⁶

Step-by-step explanation:

We need to find the expression for c to the power of 5 x c.

c to power 5 is : c⁵

Now, multiply c⁵ and c.

c⁵ × c = c⁵⁺¹

= c⁶

So, the final expression is c⁶. Hence, this is the required solution.

Answer:

Step-by-step explanation:

c to the power of 6

Answer:

The missing angle is 50 and x=6

Step-by-step explanation:

So if all three angles of a triangle add up to 180 degrees, you would simply subtract 180-70-60 to find the missing angle, and from there you put in the equation 8x+2=50, you would do a step by step process get the x by itself on one side. first subtract 2 from both sides to remove it from one, making the equation 8x=48 and than divide both sides by 8 to remove it from the x making the answer x=6. :3

Answer:

x=6

Step-by-step explanation:

Ok so to do this you need to know if you add up all the sides of a triangle [This is for triangles] you get 180 every time.

So you already have two given angels. 70 and 60.

Lets make it an equation.

70+60+8x+2=180

It looks long and hard but we can simplify this if we go ahead and add up all the common factors. In this case would be all the numbers with no variables.

132+8x=180

You don't add the 180 because its on the opposite side of the equation.

Now you need to get the variable alone. To do that you need to do the opposite operation. In this case, that would be subtraction

132(-132)+8x=180(-132)

8x=48

Divide the 8.

x=6

8(6)+2=50

Answer:

Greatest growth was between : year 3 and year 4

Percentage growth was about 32%

Step-by-step explanation:

Given the data:

Year : ______1 ____ 2 _____ 3 _______ 4

Students: __ 14 ___ 19 _____ 25 ______ 33

Number of students :

Year 1 & year 2 = 19 - 14 = 5

Year 2 & year 3 = 25 - 19 = 6

Year 3 & year 4 = 33 - 25 = 8

Hence,The two years at which the greatest growth was observed is between year 3 and year 4.

Percentage growth :

((33 - 25) / 25) * 100%

(8 / 25) * 100%

0.32 * 100%

= 32%

Answer:

both are wrong

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since ∠ E = ∠ F then the triangle is isosceles and DF = DE, that is

6x = x + 2y ( subtract x from both sides )

5x = 2y ( subtract 2y from both sides )

5x - 2y = 0 → (1)

and perimeter = 29, that is

6x x + 2y + 5x - y = 29 , simplifying

12x + y = 29 → (2)

Multiply (2) by 2

24x + 2y = 58 → (3)

Add (1) and (3) term by term to eliminate y, that is

29x = 58 ( divide both sides by 29 )

x = 2

Substitute x = 2 into (2) and evaluate for y

12(2) + y = 29

24 + y = 29 ( subtract 24 from both sides )

y = 5

Thus

FE = 5x - y = 5(2) - 5 = 10 - 5 = 5 → B

Answer:

The ship arrived at 5 am on Saturday

Step-by-step explanation:

Here, we want to know at what time and day the ship arrive the second port

we simply need to add the time it left the first port and the amount of time the journey took

Mathematically, that will be;

22:45 + 7 1/4

1/4 is same as 60/4 = 15 minutes

So we have;

22:45 + 7:15

= 5 am on Saturday

Answer:

sometimes

Step-by-step explanation:

Step-by-step explanation:

x-8=-5

x=-5+8

x=3

...I think the answer is no solution..

Answer:

Ok what do you need help on?

Step-by-step explanation:

Answer:

Both of them are correct.

The perimeter is found by adding up all four sides. If you notice, one of them is width and one of them is length. A rectangle has four sides, two width and two length.

l= length and w=width so P=2l+2w.

But, we can combine them by factorizing 2l+2w.

Lets see what we can pull out. We can only pull out 2.

2(l+w)=2l+2w.

2(l+w)=P

Both of them are correct.

Hope this helps plz hit the crown :D

Answer:

(1,-6)

(-2,-5)

(8,2)

(4,0)

Answer:

160 fence posts per kilometer

Step-by-step explanation:

1920/12= 160

Answer:

x : 4

Step-by-step explanation:

The ratio of a number and 4 into algebraic phrase ;

Let the number = x

Expressing the number and 4 as a ratio in algebraic phrase will be written as :

Number : 4

x : 4

Answer:

is conduction the correct answer?

Answer:

p= −x^3−x^2c+4x−3/x−3

c= p/x− 3p/x^2 +x +4/x−3/x^2

Step-by-step explanation:

I hope this helps!!! I have no idea what you were trying to find so I put the value of p and c so I hope this helps you :)

Answer:

c=4

Step-by-step explanation:

Find the value of c so that the polynomial p(x) is divisible by (x−3)

p(x)=−x^3+cx^2 −4x+3

if p is p(3)=-(3)^3 +c(3)^2 -4(3) +3

simplify p(3)= -27+9c -12 +3

combine p(3)=-36+9c

get c alone -9c=-36

divide c=4

Answer:

1. 1.1 times the weight of the puppy

2. 11/10

3. %110

Step-by-step explanation:

11 x 9 = 99

99/90=1.1

1.1 = 11/10 = %110

What he said ^^

1. 1.1 times the weight of the puppy

2. 11/10

3. %110

Step-by-step explanation:

11 x 9 = 99

99/90=1.1

1.1 = 11/10 = %110

Step-by-step explanation:

Answer:

The two expressions are;

1) -8 ft. + 3 × 6 ft. = 12 feet

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Step-by-step explanation:

The given parameters are;

The lengths in feet Cecil can travel = 5 feet, 6 feet, and 8 feet

The distances Cecil can travel forward = (positive 5, 6, 8)

Backwards Cecil can travel distances of (-5, -6, -8)

Cecil can go forward past the ladder and return back

Therefore, the number expressions by which Cecil can cross a tightrope 12 feet long are;

1) -8 ft. + 3 × 6 ft. = 12 feet

Which is to go back 8 feet and then to go forward 6 feet three times

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Which is to go back 6 feet then to go forward in 5 feet two times and then in forward again in 8 feet.

Answer:

(-1,-2)

Step-by-step explanation:

hope this helps .

Answer:

Total weight = 1,500 tons

Step-by-step explanation:

Given:

l = 5 ft

b = 5 ft

h = 6 ft

One cubic foot weighed = 0.1 tons

Find:

Total weight

Computation:

Volume = lbh

Volume = (5)(5)(6)

Volume = 150 ft³

Total weight = Volume / 0.1

Total weight = 150 / 0.1

Total weight = 1,500 tons

Answer:

Step-by-step explanation: