the admission fee at an amusement park is $3.50 for children and $7.20 for adults. on a certain day, 344 people entered the park, and the admissions fees collected totaled $1870. How many children and how many adults were admitted

Answers

Answer 1

Answer:

180 adults, 164 children

Step-by-step explanation:

Assuming all the people admitted are children,

total fees collected

= 344($3.50)

= $1204

Difference in amount collected

= $1870 -$1204

= $666

This difference in amount is due to the extra cost from each adult admission fee that we assumed to be children.

Difference in each admission fee

= $7.20 -$3.50

= $3.70

Number of adults admitted

= $666 ÷$3.70

= 180

Number of children admitted

= 344 -180

= 164


Related Questions

2x+1+4x+7+5x-1+4x-18+7x-39

Answers

Answer: x=2

Step-by-step explanation:

Write each equation in STANDARD FORM. y=-2/3x+3

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{2/3x+y+3=0}[/tex]

The table gives information about the heights of 50 trees. Work out an estimate for the mean height of the trees.

Answers

Answer:

add h then divide by 2 for h times f

Step-by-step explanation:

Help homework due soon!!!

Solving a word problem using a system of linear equations:

Jose the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Jose trained his Monday clients for a
total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last?

Answers

The plans are illustrations of system of linear equations

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Let A represent plan A, and B represents plan B

On Monday, we have:

4A + 8B = 9

On Tuesday, we have:

2A + 3B = 4

Multiply the second equation by 2

2 * (2A + 3B = 4)

4A + 6B = 8

Subtract this equation from the first equation.

So, we have:

4A - 4A + 8B - 6B = 9 - 8

3B = 1

Divide both sides by 3

[tex]\mathbf{B = \frac 13}[/tex]

Substitute 1/3 for B in 2A + 3B = 4

[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]

2A + 1 = 4

Subtract 1 from both sides

2A = 3

Divide both sides by 2

[tex]\mathbf{A = 1\frac 12}[/tex]

This means that:

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Read more about linear equations at:

https://brainly.com/question/11897796

find the length of segment AB

Answers

Answer:

E. 214

Step-by-step explanation:

Since the other angles of the triangle are congruent, and separated creates 2 right triangles, this means that segment (because i cant put the actual names for some reason) A to F and segment F to B are equal

8x - 37 = 5x + 17

3x = 54

x = 18

Now substitute to check

8(18) - 37 = 5(18) + 17

107 = 107

So if this is true, to find the segment A to B, just add segments A to F and F to B together

107 + 107 = 214

The length of segment AB is 214

solve pls brainliest

Answers

Answer:

1.8333

Step-by-step explanation:

Quick i need your help !

Answers

Answer: 30

Step-by-step explanation:

Answer:

30 po brainliest answer po ty

Find the length of each side of the parking lot, in metersTop: |-80| + |___| = ___ + 50 = ___mBottom: |___| + |50| = 80 + ___ + 50 = ___mLeft: |50| + |___| = ___ + 20 = ___mRight: |___| + |-20| = 50 +___ = ___m

Answers

Answer:

Step-by-step explanation:

Did I do this correctly? (please help asap will mark brainliest)

Answers

Answer:

Ooh that is incorrect try again.

How to tell the degree of a polynomial graph.

Answers

Answer:

The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.

How do you solve
5x2 - 13x = 6
Using the ax2 +bx + c = 0 equation

Answers

I personally like the square method but I am lazy to draw this out (take too long)

5x²-13x-6 = (5x+2)(x-3)

x = -2/5 or 3

Double-check:

5x²-15x+2x-6  = 5x²-13x-6 √

Which place value first determines which of the numbers 6.399 or 6.400 is the larger number?
thousandths
hundredths
tenths
ones

Answers

Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.

The decimal numbers are 6.399 and 6.400.

The ones value for each is 6.For the first value, the tenths digit is of 3, while for the second is of 4.

The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.

A similar problem is given at https://brainly.com/question/17248958

the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution

Answers

Answer:

[tex]250cm^2[/tex]

Step-by-step explanation:

length = 5 + 2w

width = w

P = Sum of all sides

P = 2 * (5 + 2w) + 2w

P = 10 + 4w + 2w

P = 6w + 10

Given Perimeter = 70cm

We substitute

6w + 10 = 70

6w = 70 - 10

6w = 60

w = 60/6

w = 10cm

Since length is 5 + 2w

length = 5 + (2 * 10)

length = 25cm

Area = lw

Area = 25 * 10

Area = [tex]250cm^2[/tex]

Answer:

let

b=x then'

l= 2x+5

Now

p=70

2(l+b)=70

2(x+2x+5)=70

6x+10=70

6x=60

x=6

b=x=10

l=2x+5=25

area of rectangle = l*b

25*10

=250 answer

i don’t know what’s going on here, can someone help me?

Answers

Answer:

[tex](\frac{a}2;\frac{a}2)[/tex]

Step-by-step explanation:

You simply need to apply the formula for the midpoint of a segment - which is provided.

[tex]M(\frac{0+a}2; \frac{0+a}2) \rightarrow M(\frac{a}2;\frac{a}2)[/tex]

Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over.

Answers

Answer:

  GCF(54, 42) = 6 arrangements

Step-by-step explanation:

The number of such arrangements will be the greatest common factor (GCF) of the two numbers. You recall from your times tables that ...

  54 = 6×9

  42 = 6×7

The factors 9 and 7 have no factors in common, so 6 is the greatest common factor of 54 and 42.

  6 identical arrangements of 9 roses and 7 tulips can be made.

_____

Additional comment

When the numbers are small and found in your memorized times tables, finding the GCF is done by consulting your memory. Otherwise, it can be done by factoring, or by using Euclid's algorithm.

When the numbers are factored to primes, the GCF is the product of the prime factors the numbers have in common.

  54 = 2×3×3×3

  42 = 2×3×7

These factorizations have 2×3 = 6 in common.

__

Euclid's algorithm has you find the remainder from the division of the larger number by the smaller. When that remainder is not zero, it replaces the larger number, and the process repeats. When that remainder is zero, the divisor is the GCF.

  54/42 = 1 r 12

  42/12 = 3 r 6

  12/6 = 2 r 0 . . . . GCF = 6

This algorithm works on numbers of any size (including fractions and mixed numbers), so is especially useful when the factorization is not obvious.

Determine if the table represents a linear function, quadratic function, or exponential function.

Answers

Answer:

Quadratic

Step-by-step explanation:

Formula: ax^2+bx+c

Naomi has earned $81 mowing lawns the past two days. She worked 3
1
2
hours yesterday and 3
1
4
hours today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns?

Answers

Answer:

She would of made $40.5 because of $81 divided between the 2 days that she worked

opposite reciprocal of 1/3

Answers

Answer:

-1/3

Step-by-step explanation:

hope this helps

Complete the recursive formula of the arithmetic sequence 8, -5, -18, -31,..
d(1)=
d(n)=d(n-1)+

Answers

Answer:

d(1) = 8

d(n) = d(n-1) + (-13)

75 is 15% of what number​

Answers

75 is 15% of 500!! If you get it wrong IM SO SORRY!!

Answer: 113.3333 (repeating 3’s)

Step-by-step explanation:

17 = 15%

divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%

11.33 = 10%

multiply 10 and 11.33 by 10 to get 100%

113.33 = 100%

If Tristen buys 14 t-shirts for $78.40. What is the
constant of proportionality?

Answers

Answer:

The constant is that each 14 t-shirts you need to pay 78.40$

Step-by-step explanation:

If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.

What is a negative control.

Answers

Answer:

Negative controls are particular samples included in the experiment that are treated the same as all the other samples but are not expected to change due to any variable in the experiment.

Step-by-step explanation:

find an equation of the line that passes through the points (-3,10) and (2,-5)

Answers

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

for the slope a :

x changes by +5 (from -3 to 2)

y changes by -15 (from 10 to -5)

so, the slope is -15/+5 = -3

the equation looks now like

y = -3x + b

let's use the first point

10 = -3×-3 + b = 9 + b

1 = b

so, the equation is

y = -3x + 1


An employee receives an 8% raise each year. The salary this year is $42,000. Which two expressions will calculate the salary for next year?

Answers

$42,000 x .08 = $3,360 raise
$42,000 + $3,360 = $45,360 salary for the next year

Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.

Complete the table below showing the length of the fence and the cost.

Answers

Answer:

?

Step-by-step explanation:

i did this problem before.......hmmmmmmmmmmmmm...

help me help me help me

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required expression is ~

[tex] \sqrt{8} [/tex]

[tex] \sqrt{2 \times 2 \times 2} [/tex]

[tex]2 \sqrt{2} [/tex]

[tex] {2}^{1} \times{ 2 }^{ \frac{1}{2} } [/tex]

[tex](2 ){}^{1 + \frac{1}{2} } [/tex]

[tex]2 {}^{ \frac{2 + 1}{2} } [/tex]

[tex] {2}^{ \frac{3}{2} } [/tex]

I hope it helps ~

Alex and Maria went out for dinner. The bill was $25.80. They leave a 20% tip. How much of a tip will they leave?

Answers

Answer:

$5.16

Step-by-step explanation:

$25.80 x 20/100

Answer:

Step-by-step explanation:

Answer:

Tip Total: $ 5.16

Tip Each Person: $ 2.58

Total (Bill + Tip): $ 30.96

Total Each Person: $ 15.48

m-2/3<-4 OR 3m -8>4

Pls help ⚠️

Answers

Answer:

-10 OR 4

Step-by-step explanation:

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2 solve

Answers

Answer:

7

Step-by-step explanation:

I used keep change flip, and repeated the process and got the answer.

Hope this helps! :)

Answer:

1/72

Step-by-step explanation:

1/2÷1/2÷1/2÷1/2÷1/2÷1/2÷1/2

1/2 * 1/2 * 1/2 *1/2 *1/2* 1/2 * 2/1

1/72

what is the answer??????​

Answers

Answer:

1) B 1 1/32  2) A 1.8

Step-by-step explanation:

1) 2 3/4÷2 2/3

Turn into improper fractions.

11/4÷8/3

Keep Change Flip

11/4x3/8

Multiply.

33/32

=1 1/32

2) 1 4/5 as a decimal.

Turn into an improper fraction.

9/5

Divide.

=1.8

Hope this helps :)

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