1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SashulF [63]
2 years ago
15

At a theme park, the admission price for children is $7 and the admission price for adults is $21. The total amount the theme pa

rk collects in admissions for the day is $5439. The total number of visitors is 305. let c be the number of children and let y be the number of adults. which system represent the situation
21x+7y=5439
x+y=305

7x+21y=5439
x+y=305

x+y=5439
21x+7y=305

x+y=5439
7x+21y=305
Mathematics
1 answer:
Gemiola [76]2 years ago
7 0

Answer:

7x+21y=5439

x+y=305

Step-by-step explanation:

it's pretty self explanatory, right?

You might be interested in
Calculate the speed of an airplane that moves 50 meters in one second in both cm/s and km/s
zaharov [31]
This question is simply conversions

we know there are 100 cm in a m so..
50 × 100 = 5,000 cm/s

and we know there are 1,000 m in a know so..
50 ÷ 1,000 = 50/1,000 = 1/20 km/s
4 0
3 years ago
determine if the sequence is geometric if it is find the common ratio the 8th term and the explicit formula can someone check my
mylen [45]

Answer:

You can check the answer by yourself after seeing the below answer.

Step-by-step explanation:

A sequence is geometric only if has common ratio i.e. r=\frac{a2}{a1} =\frac{a3}{a2} whiere a1,a2 and a3 are first,second and third term of the sequence respectively.

1) Common ratio r=\frac{-18}{-3}=\frac{-108}{-18}=6\\

 Explicit formula a_{n} =a_{1} .r^{n-1}

Now using the above formula, we can find 8^{th} term=-3*(6)^{8-1} =-3*6^{7}=-839808.

2) Here

\frac{a2}{a1}\neq \frac{a3}{a2}\\\frac{-2}{-4}\neq \frac{1}{-2}\\\frac{1}{2}\neq\frac{1}{-2} so this is not geometric sequence so no need to proceed further.

3) Common ratio r=\frac{15}{-3}=\frac{-75}{15}=-5\\

 Explicit formula a_{n} =a_{1} .(-5)^{n-1}

Now using the above formula, we can find 8^{th} term=-3*(-5)^{8-1} =-3*(-5)^{7}=234375.

4) Common ratio r=\frac{-6}{1}=\frac{36}{-6}=-6\\

 Explicit formula a_{n} =a_{1} .(-6)^{n-1}

Now using the above formula, we can find 8^{th} term=1*(-6)^{8-1} =1*(-6)^{7}=-279936.

5)Common ratio r=\frac{-8}{4}=\frac{16}{-8}=-2\\

 Explicit formula a_{n} =a_{1} .(-2)^{n-1}

Now using the above formula, we can find 8^{th} term=4*(-2)^{8-1} =4*(-2)^{7}=-512.

6)Common ratio r=\frac{-8}{-2}=\frac{-32}{-8}=4\\

 Explicit formula a_{n} =a_{1} .(4)^{n-1}

Now using the above formula, we can find 8^{th} term=-2*(4)^{8-1} =-2*(4)^{7}=-32768.






3 0
3 years ago
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Minchanka [31]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
3 years ago
CAN SOME ONE ANSWER THIS ILL GIVE ALL MY POINTS AND BRAINLIEST PLEASE
kotegsom [21]

1: KIH because of alternate exterier (or ACF because of verticle angle)

2. x

3. CFG

5 0
2 years ago
The City Zoo has different admission prices for adults and children. When three adults and two children went to the​ zoo, the bi
Anna11 [10]

Let a and c represent, respectively, the price of an adult and a child ticket. We know that

\begin{cases}3a+2c=78.94\\2a+3c=75.86\end{cases}

Multiply the first equation by 3 and the second equation by 2 to get

\begin{cases}9a+6c=236.82\\4a+6c=151.72\end{cases}

Subtract the two equations to have

5a=85.1 \iff a=17.02

Plug this value in the first equation to get

3\cdot 17.02+2c=78.94\iff 2c=27.88\iff c=13.94

7 0
3 years ago
Other questions:
  • Which sign makes the statement true?
    14·2 answers
  • A bicycle shop advertised all mountain bikes were priced at 1/4 discount.
    14·1 answer
  • Find the value of this expression if x=-9 x-3
    12·2 answers
  • A manufacturer of colored candies states that 13​% of the candies in a bag should be​ brown, 14​% ​yellow, 13​% red, 24​% ​blue,
    11·1 answer
  • Given the formula I=prt, if p = 8000, r = 0.6, and t = 1, what is the value of "I"?
    9·2 answers
  • A certain mapping in the xy-plane has the following properties:
    12·1 answer
  • 1,092 inches to yards
    14·2 answers
  • The length of a rectangle is 5cm more than its breadth . if the perimeter of the rectangle is 40 cm , find the dimensions f the
    8·2 answers
  • Find the area of the polygon
    7·1 answer
  • Find value of the variables .
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!