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
Vladimir [108]
4 years ago
6

Marc sold 516 tickets for the school play. Student tickets cost $3 and adult tickets cost $5. Marc's sales totaled $2046. How ma

ny adult tickets and how many student tickets did Marc sell?
Select one:
a. 272 adult, 244 student
b. 249 adult, 267 student
c. 267 adult, 249 student
d. 244 adult, 272 student
Mathematics
1 answer:
mrs_skeptik [129]4 years ago
8 0
Let student tickets are x and adult tickets are y

x + y = 516.........x = 516 - y .........(substitute in 2)

3x + 5y = 2046 ......(2)

3(516-y) + 5y = 2046

1548 - 3y + 5y = 2046

2y = 498

y = 249

x = 516 - y = 516 - 249 = 267

so the correct answer is b


You might be interested in
It takes 10 people 15 hours to prepare the gym for the school dance. How many hours would it take 12 people to prepare the gym?
valentinak56 [21]

Answer

18 hours

Step-by-step explanation:

if 10 people spend 15 hours

one person spend 15/10=1.5

so 1.5 × 12=18hours

4 0
2 years ago
Find the value of x - Secant and Tangent Angles in Circles
VladimirAG [237]

Answer:

  C.  70°

Step-by-step explanation:

The inscribed angle marked 15° intercepts an arc that is double that measure, so the intercepted arc on the right is 2×15° = 30°.

The external angle marked 20° is half the difference of the intercepted arcs, so is ...

  20° = (1/2)(x - 30°)

  40° = x - 30° . . . . . . multiply by 2

  70° = x . . . . . . . . . . . add 30°

The value of x is 70°.

6 0
3 years ago
PLS NEED HELP WITH 3 AND 4
Rainbow [258]

Answer:

the first one is 62 and the second one

Step-by-step explanation:

i dont know the second one

3 0
3 years ago
A firecracker in a coconut blows the coconut into three pieces. Two pieces of equal mass fly off south and west, perpendicular t
vlada-n [284]

Answer:

Step-by-step explanation:

6 0
3 years ago
The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding
melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{236100}{8} = 29512.5

Sum of squares of differences = 3408750

S.D = \sqrt{\frac{3408750}{7}} = 697.82

Population mean, μ = $30,000

Sample mean, \bar{x} = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars} We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975

Now,

t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894

Since,                  

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0
4 years ago
Other questions:
  • A volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model th
    10·2 answers
  • Given f(x)=4x^3+7x^2-7x-10 factor f(x), given that -1 is a zero
    15·1 answer
  • 5364982+574=82983675
    9·1 answer
  • HELP ASAP!
    14·2 answers
  • Find the median of the set of data.
    10·1 answer
  • Symbol for taken away
    8·2 answers
  • Please read the attachment i really need help with this its got all the info!
    9·1 answer
  • Which may be a benefit of inflation?
    15·1 answer
  • A bike path is 8 miles. Max is 40% of the way to the end. How far is max on the path?
    6·1 answer
  • In the diagram, is parallel to. Also, is drawn such that the length of is half the length of. If sin A = 0.5, then what is sin E
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!