A group of friends wants to go to the amusement park. They have $131.75 to spend on parking and admission. Parking is $18, and tickets cost $22.75 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.

Answers

Answer 1

Answer:

3 people

$9.5 left over

Step-by-step explanation:

pp = 18 + 22.75

pp = 40.75

total people who can go = 131.75/pp

tp = 131.75/pp

tp = 3 remainder $9.5

(this is if they all arrive in individual cars)

Answer 2

The number of people that can go to the amusement park are 5 .

Concept:

First, we need to find the amount left after deducting parking charges. Then the remaining amount can be divided by the price of one ticket to find out how many persons can buy the ticket from the same amount.

How to solve the given problem?The parking charges are $18 and the ticket costs $22.75 per person.So amount left after parking charges = $131.75 -$18 = $113.75To find the number of persons, let x be the no of tickets that can be purchased from the given amount.So the expression can be framed as 22.75x = 113.75.On solving the expression, we get x = 5 nos.

Thus, 5 number of persons can go to the amusement park.

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Related Questions

x÷-1.2= -0.3 i need help with this asap pls and thank you ​

Answers

0.3×1.2

=0.36

−0.3,1.2→Negative

−0.36

Hey there!


x ÷ -1.2 = -0.3

REWORD

x/-1.2 = -0.3

TRANSLATE
1/-1.2x = -0.3

-0.833333x = -0.3

DIVIDE -0.833333 to BOTH SIDES

-0.833333x/-0.833333 = -0.3/-0.833333

SIMPLIFY IT!

x = 0.360000144

x ≈ 0.36


Therefore, your answer is: x = 0.36



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Calculate the volume. Round your answers to the nearest tenth if necessa

Answers

Answer

V= (32)(32^2)(12)

v=52,133.6

Workers Inc. just bought 10 boxes of pens to put in their storage room for employees to use as needed. Each box contains 30 pens. If each of the 32 employees working for Workers Inc. takes 3 pens when they are first brought into the office, how many pens will be left in the storage room?

A. 268
B. 204
C. 297
D. 230

Answers

Answer:

B. 204 pens

Step-by-step explanation:

If you have 10 boxes of 30 pens each, the problem would be like so:

10 x 30 = 300

Now, since we have 32 workers that each take 3, this turns into:

32 x 3 = 96

Finally, because 300 is the total amount of pens and 96 is the amount taken, we just subtract to get:

300 - 96 = 204 pens

3(2x+1)(4x+1) Which of the following is equivalent to the expression above?
A 45x


B 24x2 + 3


C 24x2 + 18x + 3


D 18x2 + 6

Answers

C is the answer to the question

A company provides bus trips to various events for adults and children. The company charges $15 for each adult and $8 for each child for a trip to an upcoming play. The bus has a maximum capacity of 40 people, and the company needs to earn a minimum of $400 from this event to make a profit. Write a system of inequalities that represents this situation and graph it.

Answers

x+y=40

15x+8y=400

Step-by-step explanation:

x= Adults

y= Children

$15 dollars per "X" adults + $8 dollars per "Y" children = 400 dollars, and "X" adults + "Y" children = 40 people on the bus.

Kangchenjunga, third highest mountain in the world, is 28,169 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations?

Answers

Answer: 29,481 feet

Step-by-step explanation:

Kangchenjunga= 28,169 feet above sea level

Dead Sea= 1,312 feet below sea level

Difference= ?

28,169+1,312= 29,481

10 small and 8 large cost $192. 20 small and 1 large cost $99. What is cost of a small
Vhat is cost of a large?

Answers

Answer:

Step-by-step explanation:

small=s,    s=3.99

large=l,       l=19.20

10s+8l=192.20

20s+l=99

we can see that in the second equation, 20s+l=99

l=99-20s

lets replace l in the first equation

10s+8(99-20s)=192.20

10s+792-160s=192.20

-150s=-792+192.20

150s=599.80

s=3.99

l=99-20(3.99)=99-79.80=19.20

Answer:

19

Step-by-step explanation:

You can set up a system of equations.

x=small, and y = large.

10x+8y=$192

20x+1y=$99

you can multiply the first equation by -2 to get rid of x:

20x+1y=$99

-20x-16y=-$384

when you combine them, you get:

-15y=$-285

you can divide by -15 and you get:

y=19, so 1 large equals $19

the prime factorization of 171 using exponents.

Answers

Answer:

the prime factorization of 171 can be written as 32 × 191 where 3, 19 are prime.

mark me as brainliest

i need help with this please:)

Answers

Hi!

- - - - - - - - - - - - - - - - - - - -  

To start, let's add/subtract the fractions (by finding common denominators). Below them are your answers!

1) 1/2 (5/10) + 1/5 (2/10) = 7/10

1) Yes

2) 1/5 (2/10) - 1/10 (Same) = 1/10

2) No

3) 1/2 (5/10) + 2/5 (4/10) = 9/10

3) No

4) 4/5 (8/10) + 1/10 (Same) = 9/10

4) No

- - - - - - - - - - - - - - - - - - - -  

Have a great day/night! :)

~pinetree

bonsoir, je suis bloqué sur lex 5 s'il vous plaît aidez moi merciii​

Answers

Answer:

j'ai écrit ci-dessous

Step-by-step explanation:

Salut, j'utilise un traducteur, mais revenons à votre question

Je ne suis donc pas sûr de la question a, mais j'essaierai d'y répondre plus tard.

Pour la question b, il a utilisé la formule "a-b" je pense. C'est déjà indiqué dans le tableau. D'accord, je vais essayer de trouver la question a maintenant !

Edit

salut je suis de retour! donc d'après mes découvertes, le pgcd (si pgcd est le plus grand diviseur commen) serait 207. C'est parce que vous pouvez diviser les deux par 207, et une fois que vous le faites, vous ne pouvez plus le diviser par des nombres égaux.

2277/207 = 11

1449/207 = 7

J'espère que cela t'aides!

Estimating sums by tens

Answers

Answer:

4600

Step-by-step explanation:

4319=4300

299=300

4300+300=4600

The population of a city increases by 5% every year. If it’s population today is 300,000 what will it’s population be in 2 years?

Answers

Answer:

Population after n years = Present Population =(1+

100

r

)

n

Population after 2 years =50000(1+

100

5

)

2

=50000(

100

105

)

2

=50000×

100

105

×

100

105

=5×105×105=55125

Step-by-step explanation:

Solve this for me please.

Answers

Answer:

Solve what? there's nothing there.

(2-3a)(8+5a) please help me

Answers

Answer:

-15a² -14a+16

Step-by-step explanation:

(2-3a)(8+5a)

2×8=16

2×5a=10a

-3a×8=-24a

-3a×5a=-15a²

16+10a-24a-15a² = -15a² -14a+16

if there are 1725 students and 54% do not have TV's and 46% do have TV's how many students don't have TV's

Answers

Answer:

Step-by-step explanation:

The answer is 931.5 students do NOT have TV's. Just in case, 793.5 students DO have TV's.

Find the distance from N to T. (N=-2,1 T=3,1)

√29
√14
29
7

Answers

7 is the answer

hello bro

30x30 becuse i need a better answer

Answers

30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+=900

Answer:

Step-by-step explanation:

30x30 is 900

how do u work this out

Answers

Step-by-step explanation:

use this equation

y = mx + c

m is the gradient

c is the y intercept

m is

m is rise/run

the line rises from 3 to 10

so rise is 7

the line runs from 0 to 3.5

so run is 3.5

m = 7/3.5

m = 2

c is

y-intercept is where the line is equal to x=0

that point is

(0, 3)

so y int is 3

c = 3

put back into equation

y = mx + c

and comment your answer

please mark brainest

What is the volume of the shape?

Answers

[tex] \tiny\red{{\pmb{==========================================}}}[/tex]

Answer:

84km

Step-by-step explanation:

[tex] \sf \: \: \: \: \: \: = 7 \times 4 \times 3 \\ \sf = \underline \green8 \underline \green 4 \: km[/tex]

[tex] \tiny\purple{{\pmb{==========================================}}}[/tex]

#CARRYONLEARNING

===========

V = 7 × 4 × 3

V = 84 km

===========

-CallMeKi

Help needed ASAP

Please answer without rounding if you need to round

Answers

Answer:

you dont need to round

Step-by-step explanation:

multiply v and U and then add the other numbers and that should work

Answer:

[tex]\huge\boxed{\sf r = 37\ mm}[/tex]

Step-by-step explanation:

Let the radius be r

UV is tangent to the circle T which means UV is perpendicular to UT, that makes ΔUVT a right-angled triangle.

Which means:

∠TUV = 90°

So, We can use pythagoras theorem to find the radius of the circle.

In the Δ:

Hypotenuse = r + 9

Base = r

Perpendicular = 12

Pythagoras Theorem:

(Hypotenuse)² = (Base)² + (Perpendicular)²

(6 + r)² = (r)² + (22)²

(6)² + 2(6)(r) + (r)² = r² + 484

36 + 12r + r² = r² + 484

Subtract r² to both sides

36 + 12r = 484

Subtract 36 to both sides

12r = 484 - 36

12r = 448

Divide both sides by 12

r = 448/12

r = 37 mm

[tex]\rule[225]{225}{2}[/tex]

Which of the following situations are equal to 50%? Select all that apply.

A) 3 out of 6
B) 9 out of 18
C) 9 out of 12
D) 16 out of 32
E) 42 out of 84

Answers

Answer:

A, B, D, E

Step-by-step explanation:

To find if something is equal to fifty percent, split the second number in half.

For example, lets use option D.

32/2=16

16 is the first number in the option, meaning it is 50%.

Lets use an example where it wouldn't work. In this case, option C.

12/2=6

6≠9

Meaning 9 is not 50% of 12.

What is the 5th term of the geometric sequence -2,-8, -32, -128, ...?

Answers

Answer:

-512

Step-by-step explanation:

The common ratio is multiplying by 4, therefore 4 muliplyed by -128 is -512

PLEASE HELP!!! I RLLY NEED THIS!!​

Answers

Answer:

28 cm per year

5.5 years

Step-by-step explanation:

In three years time, the height of the tree grew from 190 to 274, that's an increase of 84 cm. Divice that by the number of years it took. So you get this calculation:

(274-190)/3 = 28

When the tree was 344 centimeters tall, the increase was 344-190 = 154. Divide that by the 28 found earlier to get 154/28 = 5.5 years.

Florence has 7 liters of milk. She pours 34of a liter into her glass. How much milk is left?

Answers

Answer:

6.66 liters

Step-by-step explanation:

34% of one liter would leave 66% of the liter left, and if you were to add the other 6 liters to it, you would get your answer.

You have $30 to spend on paint and clay. The equation 2x + 6y = 30 represents this situation, where x is the number of paint bottles and y is the number of tubs of clay. Graph the equation. Interpret the intercepts. How many bottles of paint can you buy if you buy 3 tubs of clay? Justify your answer.

Answers

Answer:

You can buy 6 bottles of paint if you buy 3 tubs of clay

Step-by-step explanation:

2x+6(3)=30 is 2x+18=30

30-18=12

12/2=6

The system of equation is solved and the x-intercept is (15, 0) and y-intercept is (0, 5)

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To graph the equation 2x + 6y = 30, we need to rewrite it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept

2x + 6y = 30

6y = -2x + 30

y = (-2/6)x + 5

y = (-1/3)x + 5

To interpret the intercepts, we look at the x-intercept and y-intercept of the graph

X-intercept: To find the x-intercept, we set y = 0 and solve for x

y = (-1/3)x + 5

0 = (-1/3)x + 5

(-1/3)x = -5

x = (-5) / (-1/3)

x = 15

The x-intercept is (15, 0), which means that when y = 0, we can buy 15 bottles of paint and no tubs of clay with the available $30

Y-intercept: To find the y-intercept, we set x = 0 and solve for y.

y = (-1/3)x + 5

y = (-1/3)(0) + 5

y = 5

The y-intercept is (0, 5), which means that when x = 0, we can buy no bottles of paint and 5 tubs of clay with the available $30

Hence , if 3 tubs of clay are purchased, we can buy 6 bottles of paint

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According to the general equation for conditional probability, if P(AuB) = 5/7 and P(B) = 7/8, what is P(A| B)?​

Answers

Answer:

P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

Answer the questions based on the results of the t-shirt sales analysis shown by the regression calculator. if the t-shirts are priced at $13 each, what is a reasonable prediction for the number sold? 10 t-shirts 15 t-shirts 18 t-shirts 20 t-shirts

Answers

The Linear Regression Equation has the form Y= a + bX. The reasonable prediction for the number of t-shirts sold is 18.

What is the Linear Regression Equation?

The Linear Regression Equation has the form Y= a + bX, where Y is the dependent variable (that's the variable that goes on the Y-axis), X is the independent variable (i.e. it is plotted on the X-axis), b is the slope of the line and a is the y-intercept.

In order to calculate the reasonable prediction for the number of t-shirts sold, we need to find the function of the given graph below.

As we can see that the function of the graph is linear(line), therefore, we take two points, to find the value of the slope and the value of the constant.

[tex](x_1,y_1)=(10,25)\\(x_2,y_2)=(15,12)[/tex]

The value of the slope can be written as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{12-25}{15-10}=\dfrac{-13}{5}[/tex]

Now, substitute the value of any one point in the equation of the line,

[tex]y=mx+c\\\\y_1=\dfrac{-13}{5}x_1+c\\\\25=(\dfrac{-13}{5}\times 10)+c\\\\25=-26+c\\\\51=c[/tex]

As the price of the t-shirt is $13, therefore, the value of y(or the reasonable prediction for the number of t-shirts sold) can be found,

[tex]y=\dfrac{-13}{5}x+51\\\\y =(-2.6 \times 13)+51\\\\y = 17.2[/tex]

The value of the reasonable prediction for the number of t-shirts sold is 17.2 which is close to 18.

Hence, the reasonable prediction for the number of t-shirts sold is 18.

Learn more about Linear Regression Equation:

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Answer:

answer in picture

Step-by-step explanation:

(7y
3
−2y
2
+5) + (4y
3
−3y)

Answers

Answer:

26 y + 5

Step-by-step explanation:

Simplify the following:

7 3 y + 4 3 y - 3 y - 2 2 y + 5

7×3 = 21:

21 y + 4 3 y - 3 y - 2 2 y + 5

-2×2 = -4:

21 y + 4 3 y - 3 y + -4 y + 5

4×3 = 12:

21 y + 12 y - 3 y - 4 y + 5

Grouping like terms, 21 y + 12 y - 3 y - 4 y + 5 = (21 y - 4 y + 12 y - 3 y) + 5:

(21 y - 4 y + 12 y - 3 y) + 5

21 y - 4 y + 12 y - 3 y = 26 y:

Answer: 26 y + 5

There are 49 people planning to go on a ride in a
small airplane. Each plane can hold 6 people,
and they want to fill up as many as possible.
How many planes will be needed? [?] planes
How many planes will be full? [ ] planes
How many planes will not be full? [ ] planes
How many people will be in a plane
that is not full? [ ] people
H
Enter

Answers

Answer:

Number of planes needed = total number of people ÷ number of people 1 plane can hold

⇒ number of planes needed = 49 ÷ 6 = 8 1/6 = 8 remainder 1

Therefore, 9 planes will be needed to transport 49 people.

8 planes will be full and 1 plane will not be full.

There will be 1 person in the plane that is not full.

19. You borrow
$3000 (prinupal)
for 4 years and
pay a 9% interest
9
rate. How much
interest do you
pay ?

Answers

Answer

Interest =1080

Step-by-step explanation:

The formula to solve interest is Principal times Rate times Time

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