answer.
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
likoan [24]
2 years ago
7

An arena is hosting a rock concert. It has “silver” and “gold” seating sections. The event organizers are selling the first 100

gold tickets at the price of a silver ticket. The price of a silver ticket is $7 more than 1/2 the price of a gold ticket. The price of a silver ticket is $14 less than 6/5 the price of a gold ticket. How much will one of the first 100 buyers save on the price of a gold ticket?
Mathematics
1 answer:
Colt1911 [192]2 years ago
7 0

Let G=cost of gold ticket.


Silver ticket costs

S=G/2+7, and

S=6G/5-14


Equate both,

6G/5-14=G/2+7

simplify

6G/5-G/2 = 7+14

12G/10-5G/10=21

7G/10=21

Cross multiply

G=10*21/7=30 => Gold tickets cost $30 each.


S=G/2+7=30/2+7=15+7=22

Silver tickets cost $22 each.


The first 100 gold ticket purchasers will therefore save $30-$22=$8 each ticket.

You might be interested in
replace each star with a digit to make the problem true.Is there only one answer to each problem? ****-***=2
Semenov [28]

Answer: We have two solutions:

1000 - 998 = 2

1001 - 999 = 2

Step-by-step explanation:

So we have the problem:

****-*** = 2

where each star is a different digit, so in this case, we have a 4 digit number minus a 3 digit number, and the difference is 2.

we know that if we have a number like 99*, we can add a number between 1 and 9 and we will have a 4-digit as a result:

So we could write this as:

1000 - 998 = 2

now, if we add one to each number, the difference will be the same, and the number of digits in each number will remain equal:

1000 - 998 + 1 - 1 = 2

(1000 + 1) - (998 + 1) = 2

1001 - 999 = 2

now, there is a trivial case where we can find other solutions where the digits can be zero, like:

0004 - 0002 = 2

But this is trivial, so we can ignore this case.

Then we have two different solutions.

7 0
2 years ago
Biologists conducted a study to investigate the flying velocity of mosquitoes both before and after feeding. The following scatt
Lesechka [4]

Answer:

It represents a mosquito that flew very fast after feeding relative to all other mosquitoes.

Step-by-step explanation:

The point is unusual because the velocity of the mosquito is substantially greater than all other velocities and is probably an outlier.

4 0
2 years ago
The final velocity of an object moving in on one dimension is given by the formula v = u + at, where u is the initial velocity,
agasfer [191]

Answer:

Given Below

Step-by-step explanation:

v = u+at

u+at = v

at = v-u

t = v-u/a

Hope this helps

8 0
2 years ago
The class is selling food at the school fair. Pretzels cost $1.50, and bottles of water cost $1.00. The class sold a total of 10
Grace [21]
Like wats the question
4 0
2 years ago
Read 2 more answers
The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,
pav-90 [236]
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

C\propto P \\  \\ \Rightarrow C=kP

where k is a constant.

Given that <span>the total cost of a $32 item is $33.60, thus

33.60=32k \\  \\ \Rightarrow k= \frac{33.60}{32} =1.05

Therefore, the total cost on a $55 item is given by

C=1.05\times55=\$57.75</span>
3 0
2 years ago
Other questions:
  • What does collinear mean
    5·2 answers
  • What value of x is in the solution set of 3(x – 4) ≥ 5x 2? A) -10 B) -5 C) 5 D) 10
    10·2 answers
  • The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equat
    15·2 answers
  • Isabel is buying 6 angelfish, and she wants her total to be no more than $2 above or below $36. Which inequality models the cost
    7·1 answer
  • Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartF
    13·2 answers
  • (c) Assume this is a simple random sample of U.S. women. Use the Empirical Method to estimate the probability that a woman has m
    6·1 answer
  • Emanuel used the calculations below to find the product of the given fractions. (Three-fifths) (StartFraction 4 over 9 EndFracti
    15·2 answers
  • The cost for children under twelve at a certain buffet restaurant is a base charge of a dollar plus twenty-five cents for each y
    6·1 answer
  • What value of x makes the equation -4x – (-3 − 5x) = -3(2x − 8) true?
    15·1 answer
  • Which equation is equivalent to the given equation?<br> - 4(x – 5) + 8x = 9x – 3
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!