Answer:
100 Adults and 164 Children
Step-by-step explanation:
To solve this we will need to write two equations to solve for the two unknowns. Firstly, we know that tickets are 20 for children and 35 for adults, and that the total price was 6780. We can write an expression to represent this. 6780 is the total price, this also means it is the price of all the adults + the price of all the children. The total price of the adults tickets is the price of each ticket multiplied by the number of adults, so the total price of adult tickets can be represented by: 35A, 35 being the ticket price per adult, and A being the number of adults. Similarly the total children's price can be expressed as such: 20C, 20 being the price per child, and C being the number of children. Since we know that these two values total to 6780, we can now form an equation:
35A (total adult price) + 20C (total children price) = 6780
35A+20C=6780
Now we need another expression so we can substitute for one of the values. The other piece of information we are given, is that a total of 264 people entered the park. This means that the total number of adults + the total number of children = 264. Since we already have variables for the numbers of adults and children we now have our second equation:
A (number of adults) + C (number of children) = 264
A+C=264
Now we can use this second equation to substitute for one of the values in the first equation. Let's substitute for children:
If we rearrange the second expression we will get:
A+C-A=264-A
C=264-A
So now we substitute this expression into our first formula:
35A+20C=6780
C=264-A
35A+20(264-A)=6780
Now since we only have one unknown, we can simplify, expand and solve!
35A+20*264-20*A=6780
35A+5280-20A=6780
35A-20A+5280-5280=6780-5280
15A=1500
15A/15=1500/15
A= 100
A total of 100 adults were admitted.
Now we can use the number of adults to find the number of children using our second formula:
C=264-A
C=264-100
C=164
And there we are! A total of 100 adults and 164 children were admitted.
Hope this helped!
Find the value of using identities 996^2
Answer:
992,016
Step-by-step explanation:
[tex] {996}^{2} \\ = {(1000 - 4)}^{2} \\ = {1000}^{2} - 2 \times 1000 \times 4 + {4}^{2} \\ = 1000000 - 8000 + 16 \\ = 1000016 - 8000 \\ = 992,016 \\ [/tex]
please help, will give brainiest
Jerome has $28 in his pocket. He wants to buy as many candy bars as he can for $1.75 cach. Write an equation to show how many candy bars he can buy?
Answer:
16
Step-by-step explanation:
Take the total amount and divide by the amount per candy bar
28 /1.75
16
He can buy 16 candy bars
Amy invested in three companies: 1400 dollars for Apple, 1900 dollars for Google and 1700 dollars for Starbucks. Over the course of one year, she found that Apple went down 4 percent, Google went up 5 percent and Starbucks went up 3 percent. What is the average change in her portfolio?
Loss in apple [tex]=1400\times \dfrac{4}{100}= 56[/tex]
Present value = 1400 - 56 = $1344 .
Loss in google [tex]= 1900\times \dfrac{5}{100}=95[/tex]
Present value = 1900 + 95 = $1995 .
Loss in Starbucks [tex]=1700\times \dfrac{3}{100}=51[/tex]
Present value = 1700 + 51 = $1751 .
Total investment , T = 1400 + 1900 + 1700 = $5000 .
Gain , G = 56 + 95 + 51 = $202 .
% increase [tex]=\dfrac{202}{5000}\times 100 = 4.04 \%[/tex]
Hence , this is the required solution .
HELP!! Need Help With My Homework!
Answer:
x + 4 = 9 + 2x - 15
Step-by-step explanation:
Since, E is between F and G.
Therefore,
FG = EF + EG
x + 4 = 9 + 2x - 15
x + 4 = 2x - 6
4 + 6 = 2x - x
10 = x
or
x = 10
PLZ HURRY IT'S URGENT!!
Which number is irrational?
0.13
2/3
√4‾
√5‾
Answer:
0.13 is irrational
Step-by-step explanation:
these two numbers are clearly between 0.12 and 0.13
PLEASE HELP!!!!!!!!!!!!!!!!! | For what values of y does the following equation have no solutions for x? | xy + 5y + 4x + 20=1
Answer:
y = -4
Step-by-step explanation:
We can solve for x to see.
x(y+4) +5y +20 = 1
x(y +4) = -19 -5y . . . . . subtract 5y+20
x = (-19 -5y)/(y +4)
x is undefined (no solution) for y = -4.
Answer:
y = -4
Step-by-step explanation:
If we look at xy + 5y, we see that both terms share a factor of y. This gives us
y(x + 5) + 4x + 20 = 1
Similarly, 4x and 20 share a factor of 4, giving us
y(x + 5) + 4(x + 5) = 1
Now we see that these two terms share a factor of x + 5, so factoring gives us
(y + 4)(x + 5) = 1
Dividing both sides by y+4 gives us
x + 5 = 1/(y + 4)
Finally, we subtract both sides by 5 to get
x = 1/(y + 4) - 5
Thus, since we can not have a 0 in the denominator, we see that if y = -4 then x will have no solution. For any other value of y, we can find the solution for x using this equation.
5. Susie has 24 bags of pretzels and 16 bags of chips. She wants to make snack
packs to sell at the carnival, and she wants each snack bag to have the same
number of pretzel bags and chip bags. ANSWER questions 5a, b and c
Step-by-step explanation:
Given that,
Susie has 24 bags of pretzels and 16 bags of chips.
She wants to make snack packs to sell at the carnival, and she wants each snack bag to have the same number of pretzel bags and chip bags.
To find the same no of pretzel bags and chip bags, we can take LCM of 24 and 16.
LCM of 24 and 16 = 48
It means she will need 48 pretzel bags and chip bags
Solve the problem.
A pendulum swinging through a central angle of 108° completes an arc of length 24 cm. What is the length of the
pendulum? Round to the nearest hundredth.
Answer:
Yes! I was looking to refresh my geometry skill!
Step-by-step explanation:
So, a 108* arc is 24 cm. How to solve it?
First, we need to find the Circumference, or perimeter of the circle. (That the swinging pendulum makes.
Second, use that in the formula for circumference, and find the radius.
Third, done! So, let's get to it!
All we have to do to find the circumference is divide 24 by 108, then multiply that by 360*(because a circle is 360*).
[tex]24/108*360=80[/tex]
So, our circumference is 80cm. Nice! Just need to input that into the circumference formula.
[tex]80=2\pi *r\\[/tex]
Now, to solve...
[tex]40=\pi *r\\40/\pi =r[/tex]
This rounds to about 12.73 cm.
Hope this helps!
Happy Geometry!
Elaina wrote two correct variable expressions to represent the phrase “one-fourth of a number.”
Which variable expressions could Elaina have written?
Select each correct answer.
Answer:
C and D are both correct
hope that helps
here are the answer choices if anyone needs it :)
4 ÷ n
14n
n4
4n
Which ratio is greater than 5/8 ? A. 12/24 B. 3/4 C. 15/24 D. 4/12
B is the 3/4 = .75 and 5/8 = .625
this is a segment addition practice. can someone please help me find the length indicated?
Answer:
3
Step-by-step explanation:
Points C, D, and E are collinear.
Segment CD = 8
Segment CE = 11
Segment DE = ?
According to the segment addition postulate:
[tex] CD + DE = CE [/tex]
[tex] 8 + DE = 11 [/tex] (substitution)
Subtract 8 from both sides
[tex] 8 + DE - 8 = 11 - 8 [/tex]
[tex] DE = 3 [/tex]
The missing lenght indicated = 3
MATH PLEASE HELP
heeeeeeeelp
If SE = 7 and EG = 20 , then SG =
An organism measures 2.9• 10-5 centimeters in diameter. What number in standard notation [ANSWERS PLEASE I’ll even cash app u 2$]
Which interval for the graphed function has a local
minimum of 0?
[-3, -2]
[-2, 0]
[1, 2]
[2, 4]
Answer:
the answer is D i hope this help
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Use the tables above to compose the following functions.
A: f(g(2))
B: f(g(5))
C: g(f(-1))
D: g(f(5))
Answer:
A. 1
B. 2
C. 2
D. 0
Hope it helps :-)
how to factorise 30+b-b²
Hey there!☺
[tex]Answer:\boxed{-(b-6)(b+5)}[/tex]
[tex]Explanation:[/tex]
[tex]30+b-b^2[/tex]
Factor 30+b-b^2 by grouping.
[tex]-(b-6)(b+5)[/tex]
Hope this helps!☺
Find the slope, if it exists, of the line containing
(-8,-5) and (-19,- 13)
Answer: 8/11
Step-by-step explanation:
To find slope you can use this formula:
y2-y1/x2-x1
substitute the values with the ones from the 2 points
-13-(-5)= -8
-19-(-8)=-11
you then divide -8/-11
and you get 8/11
8/11 is the slope of those 2 points.
Samantha is buying a bike for $290. If sales tax is 6.4%, how much will be added to the price of the bike?
Answer:
18.56
Step-by-step explanation:
6.4% of 290 is 18.56
you find this by multiplying 290 by 0.064 (which is the decimal form of 6.4%)
Solve -2a -5 > 3 Which graph shows the solutions?
Answer: a< -4 D
Step-by-step explanation:
Drag each expression to the correct location on the table. Not all expressions will be used.
Jennifer is buying a plane ticket to travel abroad. The price of the plane ticket is P dollars, and she has to pay the additional 8% airport
security tax
Match the expressions to their correct meaning for Jennifer.
Answer:
The price of the ticket before tax - P
The amount of tax Jennifer pays- 0.08P
Jennifer's total amount for the ticket- P + 0.08P
Step-by-step explanation:
The price of the plane ticket is P dollars, before airport security tax. Here P is an independent variable.
An airport security tax of 8% is applied to the price of a plane ticket. So, the amount of airport security tax that Jennifer pays is 8% of the cost of her plane ticket, or 0.08P.
To find Jennifer's total amount for the plane ticket, add the price of the ticket before airport security tax and the amount of airport security tax Jennifer pays. So, the total amount of the plane ticket is P + 0.08P.
The table below shows the expressions matched to their meanings.
An expression is defined as a set of numbers, variables, and mathematical operations. Jennifer's total amount for the ticket is P+0.08P.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that Jennifer is buying a plane ticket to travel abroad. The price of the plane ticket is P dollars, and she has to pay the additional 8% airport security tax. Therefore, we can write the expressions as,
The price of the ticket before tax → P
The amount of tax Jennifer pays → 8% of P = 0.08p
Jennifer's total amount for the ticket → Price of ticket + Tax = P + 0.08P
Hence, Jennifer's total amount for the ticket is P+0.08P.
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
find the value of n?
p^3 times q^2 (p^4 times q^n times r^3/r^-4) = p^7 q^5 r^7
plz help asap
Answer:
n=q^2
Step-by-step explanation:
Evaluate 4-0.25g+0.5h when g=10 and h=5
which fraction equals a repeating decimal 3/10 1/3 6/12 3/4
First turn them all into decimals.
Divide the numerator (top) by the denominator (bottom).
3/10 is .3 and doesn’t repeat.
1/3 is .333333.....
6/12 is .5, doesn’t repeat.
3/4 is .75, also doesn’t repeat.
1/3 is the repeating decimal.
What is another name for a fraction that as a numerator and a denominator that have the same integer? Your answer This is a required question
Answer:
I think it would be considered 1
Step-by-step explanation:
If you have a fraction that has the same integer for the numerator and denominator, that fraction would equal to 1 because the fraction is completed. As an example, 5/5 is equal to one because there is 5 pieces of the fraction needed to complete it, and there's and available 5. Meaning that there's 5 out of 5 pieces needed to create a whole number which would be 1.
Decimal form: .2 + .2 + .2 + .2 + .2 = 1.0
Written form: 1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 5/5 or 1
Meg skateboards One-fourth of a mile in One-half of an hour. At this rate, how far will she skateboard in an hour?
Answer: i'm pretty sure Meg would have skated 1/2 of a mile in an hour
Answer:
meg would have skated 1/2 of a mile in 1 hour.
Step-by-step explanation:
A car's rear windshield wiper rotates 140°. The total length of the wiper mechanism is 24 inches and the length of the wiper blade is 16 inches. Find the area wiped by the wiper blade. (Round your answer to one decimal place.)
Answer:
312.7 in^2Step-by-step explanation:
This problem is on the mensuration of flat shapes, sectors and arc.
we know that the area of a sector is given as
A=(∅/360)*πr^2
Given that the length of the wiper R=24 in
and the length of the blade r= 16in
To find the area of the wiped surface we only require the length of the blade as the radius
The area of the wiped surface is given as= (140/360)*3.142*16^2
A= 0.3888*3.142*256
A=312.7 in^2
The sum of two numbers is 50. The first number is 18 less than the 2nd number. What are the
2 numbers?
Answer:
2y + 2 + y = 50 (combine like terms)
3y + 2 = 50
3y = 50 - 2
3y = 48
y = 16
Substitute 16 for y in either equation 1 or 2 and solve for x (I chose equation 1):
x + 16 = 50
x = 50 - 16
x = 34
Step-by-step explanation:
Rhonda had $300 to buy supplies for the animal shelter. She bought 8 bags of dog food and 11 leashes. Each bag of food cost $25.19, and each leash cost $4.65. How much money did Rhonda have left after her purchases? $11.65 $14.29 $22.91 $47.33
Hey there! I'm happy to help!
We have 8 bags of dog food and each costs $25.19
8(25.19)=201.52
And we have 11 leashes each costing $4.65.
11(4.65)=51.15
We add these totals up.
201.52+51.15=252.67
We subtract this from 300 to see how much is left.
300-252.67=47.33
Rhonda had $47.33 left after her purchases.
Have a wonderful day! :D
Answer:
$47.33
Step-by-step explanation:
she bought 8 bags of dog food so: 8 x 25.19 = 201.52
she bought 11 leashes so: 4.65 x 11 = 51.15
201.52 + 51.15 = 252.67
300 - 252.67 = 47.33