Zoo admission costs $6 for children and $9 for adults. On Monday, 2200 people visit the zoo and the zoo collects $14,850 in admissions.
a. Write a system of linear equations that represents this situation. Let x represent the cost of a ticket for a child and let y represent the cost of a ticket for an adult.
System of equations:
Answers
Answer:
There are 1650 child visitors and 550 adult visitors
Step-by-step explanation:
Use this step by step that was already used before to answer this, it's a png file.
A system of linear equations that represents this situation is,
⇒ x + y = 2200
⇒ 6x + 9y = 14,850
Where, x represent the cost of a ticket for a child and let y represent the cost of a ticket for an adult.
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Zoo admission costs $6 for children and $9 for adults.
And, On Monday, 2200 people visit the zoo and the zoo collects $14,850 in admissions.
Let x represent the cost of a ticket for a child and let y represent the cost of a ticket for an adult.
Hence, We can formulate;
A system of linear equations that represents this situation is,
On Monday, 2200 people visit the zoo.
So, we get;
⇒ x + y = 2200 .. (i)
And, Zoo admission costs $6 for children and $9 for adults and the zoo collects $14,850 in admissions.
So, We get;
⇒ 6x + 9y = 14,850 .. (ii)
Learn more about the linear expression visit:
https://brainly.com/question/4074386
#SPJ2
Related Questions
Rob Is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves $5. On Saturday, Rob
earned $60 babysitting. How much money did he save?
he eamed $60, he saved $
Answers
Answer:
20 dollars
Step-by-step explanation:
Martha earns $15 per hour for babysitting. The parents always giver her a $5 tip.
How many hours did Martha babysit if she made $65?
Enter the correct answer in the box.
? Hours
Answers
Answer:
4 hrs
Step-by-step explanation:
65-5=60
60/15=4
4 hrs
125% of what number is 20
Answers
Answer:
16
Step-by-step explanation:
We can rewrite this as 125/100 · x = 20
This works because a percentage is out of 100, which means 125% is 125/100. "Of" usually means multiplied, and "what number" is the variable.
Now we can simplify this
125/100 · x = 20
5/4 · x = 20
x = 16
A store is instructed by corporate headquarters to put a markup of 25% on all items. An item costing $16 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Answers
Answer:
$20
Step-by-step explanation:
the manager's error could likely be putting the percentage mark up rather than the markup price added to the original price
25%×16
= $4
mark up price= (16+4)$
= $20
Evaluate the equation. 193b = 212.3
Answers
Answer:
b= 1.1
Step-by-step explanation:
193b= 212.3
divide both sides by 193 to isolate b
212.3÷193=1.1
Answer:
b=1 .1
Step-by-step explanation:
Rose wants to buy a toy that costs $14. If she gives the cashier $20, which equation will tell you how much change Rose gets back?
Answers
Answer:
B) x + 14 = 20
Step-by-step explanation:
The "X" is the change. And the change has to equal 20. So it would be 6 + 14, since thats the only number that equals 20.
Therefore, it is B) x + 14 = 20.
A certain cell phone advertises a mean battery life of 32 hours. Suppose the battery life of these phones follows a Normal distribution with standard deviation 2.5 hours. If 5 of these phones are randomly selected from the factory, then there is about a 95% probability that the sample mean will fall in which interval?
Find the z-table here.
7.5–56.5 hours
21.0–43.0 hours
27.1–36.9 hours
29.8–34.2 hours
31.0–33.0 hours
Answers
Answer:
29.8–34.2 hours
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
Mean of 32, standard deviation of 2.5.
Sample:
Sample of 5, so [tex]n = 5, s = \frac{2.5}{\sqrt{5}} = 1.1[/tex]
There is about a 95% probability that the sample mean will fall in which interval?
Within 2 standard deviations of the mean. So
32 - 2*1.1 = 32 - 2.2 = 29.8
32 + 2*1.1 = 32 + 2.2 = 34.2 hours
A pack of 5 of board games costs $75.
If there is a direct proportion between the price (y) and number of board games (x), which equation represents the
situation?
Answers
Answer:
x:y
1:15
2:30
3:45
4:60
5:75
Step-by-step explanation:
Plz, I need help! Give out 5 stars and thank!
Answers
4 in the 42,672.
4 in the 37,426 isn't greater since 4 on 42. is 10 thousands than 37,426
solve each equation for the unknown
1. 5 + y = 7.
2. 3.8 = a + 2.5
5. + p = 9 1/3
Answers
Answer:
1. 5 + y = 7
⇒ y = 7 - 5
⇒y = 5
2. 3.8 = a + 2.5
⇒ a = 2.5 - 3.8
⇒ a = -1.3
3. 5 + p = 9 1/3
⇒ p = 9 1/3 - 5
⇒ p = 28/3 - 5
⇒ p = 28/3 - 15/3
⇒ p = 13/3
⇒ p = 4 1/3
2.A=1.3
5.p=28/3
8. Your meal at a local
restaurant is $12.45. Tax
is 6% and you tip 18%.
What is your final cost?
Answers
Answer:
Around $15.44
Step-by-step explanation:
12.45 + (12.45*0.06) + (12.45*0.18) = 15.438
First we need to find a formula.
(12.45+6%)+18%
6 percent of 12.45 is equal to 0.75, approximately. (0.747)
0.75+12.45=13.2
13.2 plus a tip of 18%
18% of 13.2 is 1.06.
13.20+1.06=14.26
the final cost is 14.26
If Dan had 20 packs of gum and he didn't have any this week and next week he had 10 packs left. What happened to the other 10 packs of gum?
Answers
Answer:
He ate it or he may have ate some in some packs then refilled the other packs.
Step-by-step explanation:
Answer:
Someone else ate them!
A cylinder has volume 78 cm ^3. What is the volume of a cone with the same radius and height?
Group of answer choices
26 cm ^3
39 cm ^3
156 cm ^3
234 cm: ^3
Answers
Answer:Option A -
Step-by-step explanation:
Sally has 10 months to read all 60 books on the sixth grade reading list. What is the minimum rate Sally can read in order to
finish all the books in time?
OA 10 books per month
ОВ.
6 books per month
OC. 7 books per month
OD
5 books per month
Answers
Answer:
6 books per month
Step-by-step explanation:
because 6x10 equals 60
.
A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 5 gallons every 3 days.
At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel?
20 days
12 days
100 days
36 days
Answers
Answer:
36 Days!
Step-by-step explanation:
So A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 5 gallons every 3 days. The question is “At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel”? So What I did to find this out is multiplyed 3 by 12 to get 36 days. But When I was doing that I was also paying attention to that 5 gallons of water leak out of the barrel in 3 days, that’s why I multiplyed by 3.
If this doesn’t make sense to you I could explain it better if you need more explanation.
Hope This Helps!
-TheAnimeCatUwU
#LearnWithBrainly
Work out the surface area of the prism
Answers
do 2(1.5 x 5) = 15
then do 2(2.5 x 2) = 10
then do 2(2.5 x 5) = 25
15+10+25 = 50cm^3
What is 0.91 in percentages?
Answers
Answer: 91%
Step-by-step explanation:
Need help pls will give crown
2. A bag of dog food weighs 40 lb. By weight, 16% of the ingredients is turkey. Find the weight of turkey in the dog food.
a) Show the work to set up the problem. You may either use the percent equation, set up a proportion, or use a ratio table but SHOW YOUR WORK.
b) What is the weight of the turkey in the dog food according to your work in part a? Solve and show your work.
Answers
Answer: 6.4 is ur answer
Step-by-step explanation:
U need to multiply 40 and 16
Nimer was driving to a hotel he looked at his sat nav at 13:30 and saw the following, distance to destination =65 miles miner arrived at the hotel at 14:48
Answers
Step-by-step explanation:
The total is 37000.
Hope it helps for your education
Simplify answer
Help pleasee need asap ill give you brainly things
The Williams are buying a house that costs $349,863 and need to 25% of the price for a down payment. How much money do they need for their down payment?
Answers
hope this helps:)
Step-by-step explanation:
In most cases, you'll need a down payment of 20% – 25% to qualify. If you have a credit score that's higher than 720, you may qualify for an investment property loan with 15% down. FHA loan: You cannot use an FHA loan to buy an investment property.
Which ordered pair is a solution to the following
system of inequalities?
A. (-3,2)
B. (6,4)
C. (-1, -7)
D. (5,-2)
Answers
Answer:
A.
If you graph them, the answer A will be inside of the shaded area.
anthony got a new video game last week and has been playing against his dad . in their game, anthony has won 3 times as often as his dad. if anthony has won 6 games , how many game have they played
Answers
Answer:
2 games
Step-by-step explanation:
6/3 = 2
Answer:
8
Step-by-step explanation:
A club raised 80% of its goal for a charity. The club raised $1076. What was the goal?
Answers
Answer:
860.8
Step-by-step explanation:
Round to the nearest tenth
Answers
Answer:
17.7
Step-by-step explanation:
[tex]a^{2} =29^{2} -23^{2} \\a=\sqrt{312} \\=17.6635[/tex]
It says to find the value of X, one point is 110 and there’s two X’s
Answers
the price of a furniture is $250. the sales tax rate is 8.5%. what is the amount of the sales tax for this piece of furniture? a. $20.50. b. $29.41. c. $17.05. d. $21.25
Answers
Answer:
d
Step-by-step explanation:
Tesla Battery Recharge Time.The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per day in a Model S will require a nightly charge time of around 1 hour and 45 minutes (105 minutes) to recharge the vehicle’s battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between 90 and 120 minutes.
a. Give a mathematical expression for the probability density function of battery recharging time for this scenario.
b. What is the probability that the recharge time will be less than 110 minutes?
c. What is the probability that the recharge time required is at least 100 minutes?
d. What is the probability that the recharge time required is between 95 and 110 minutes?
Answers
Answer:
a.) f(x) = [tex]\frac{1}{30}[/tex] where 90 < x < 120
b.) [tex]\frac{2}{3}[/tex]
c.) [tex]\frac{2}{3}[/tex]
d.) [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Let
X be a uniform random variable that denotes the actual charging time of battery.
Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.
⇒X ≈ ∪ ( 90, 120 )
a.)
Probability density function , f (x) = [tex]\frac{1}{120 - 90} = \frac{1}{30}[/tex] where 90 < x < 120
b.)
P(x < 110) = [tex]\int\limits^{110}_{90} {\frac{1}{30} } \, dx[/tex]
= [tex]\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}[/tex]
c.)
P(x > 100 ) = [tex]\int\limits^{120}_{100} {\frac{1}{30} } \, dx[/tex]
= [tex]\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}[/tex]
d.)
P(95 < x< 110) = [tex]\int\limits^{110}_{95} {\frac{1}{30} } \, dx[/tex]
= [tex]\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}[/tex]
IN FACTORED FORM PLZ!!
DUE TONIGHT HELP!!! WILL MARK THE BRAINLIEST!!
Answers
Answer:
Step-by-step explanation:
y=(2x+3)^2(x-5)
PLEASE HELP BEST ANSWER GETS BRAINLIEST URGENT
Answers
Answer:
x
-- = y
25
Step-by-step explanation:
Because it is 25% off, x is divided by 25 to get the price.
For example if x was 100, divide it by 25 you get 75, which is y.
A small book publisher knows that 20 books weigh 37 lbs. How much do 34 books weigh
Answers
Answer:
62.9 lbs
Step-by-step explanation:
20 34
37 x
20x = 1258
x = 62.9
Answer:
[tex]\boxed {\boxed {\sf 62.9 \ pounds}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup:
[tex]\frac{books}{weight}=\frac{books}{weight}[/tex]
We know that 20 books weight 37 pounds. We don't what 34 books weigh, so the weight is x pounds.
[tex]\frac{20 \ books}{37 \ pounds}=\frac{34 \ books}{x \ pounds}[/tex]
[tex]\frac{20}{37}=\frac{34}{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator. Then, the first denominator and second numerator.
[tex]20*x=37*34\\20x=1258[/tex]
Since we are solving for x, we have to isolate the variable. It is being multiplied and the inverse of multiplication is division. Divide both sides by 20.
[tex]20x/20=1258/20 \\x= 1258/20 \\x=62.9[/tex]
34 books weigh 62.9 pounds.