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
Artist 52 [7]
3 years ago
12

Jack and Diane were saving money to go to a rock n roll concert. They need at least $750 in order to go if you count their gas,

hotel, food, concert tickets, and souvenir money. Jack plays gigs at the local Tastee Freez and Diane car hops. Jack earns $50 per night that he plays, and Diane earns $25 each night she works. The number of nights Diane is scheduled to work is no more than four times the number of nights Jack is scheduled to play. Diane will work at least 10 times before the concert. Write a set of constraints to model the problem, with x representing the number of nights Jack worked and y representing the number of nights Diane worked.
Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Answer:

\left\{\begin{array}{l}y\le 4x\\ \\x\ge 10\\ \\50x+25y\ge 750\end{array}\right.

Step-by-step explanation:

Let x represents the number of nights Jack worked and y represents the number of nights Diane worked.

1. The number of nights Diane is scheduled to work is no more than four times the number of nights Jack is scheduled to play. Then

y\le 4x

2. Diane will work at least 10 times before the concert. Then

x\ge 10

3. Jack earns $50 per night that he plays, then he earned $50x in x nights. Diane earns $25 each night she works, then she earns $25y in y nigths. They need at least $750, so

50x+25y\ge 750

4. We get the following set of constraints to model the problem:

\left\{\begin{array}{l}y\le 4x\\ \\x\ge 10\\ \\50x+25y\ge 750\end{array}\right.

You might be interested in
Using no digits other than 5 and 8, make a 6-digit number, that has the properties below. If it is impossible, write so. Of cour
Anna11 [10]
Since it's a multiple of 24, it has to be a multiple of the factors of 24.

Factors of 24:
2,3,4,6,8,12

You can use some of this knowledge to help create the number.
Since the # needs to be a multiple off 2, the last digit needs to be an 8

All numbers that are multiples of 3 have the property that all of their digits added together have to be a number that is evenly divisible by 3.

so your number will look like:
_ _ _ _ _ 8

so start trying combinations for the other 5 digits that give you a number that is a multiple of 3: 3,6,9,12,15, ect. If you can't find one, then it's impossible
5 0
3 years ago
10) Thirty-seven percent of the American population has blood type O+. What is the probability that at least four of the next fi
lisabon 2012 [21]

Answer:

0.06597

Step-by-step explanation:

Given that thirty-seven percent of the American population has blood type O+

Five Americans are tested for blood group.

Assuming these five Americans are not related, we can say that each person is independent of the other to have O+ blood group.

Also probability of any one having this blood group = p = 0.37

So X no of Americans out of five who were having this blood group is binomial with p =0.37 and n =5

Required probability

=The probability that at least four of the next five Americans tested will have blood type O+

= P(X\geq 4)\\= P(X=4)+P(x=5)\\= 5C4 (0.37)^4 (1-0.37) + 5C5 (0.37)^5\\= 0.06597

7 0
3 years ago
Read 2 more answers
10(3 + 10u) what is the answer?
photoshop1234 [79]
The correct answer is 30+100u. Hope this helps!!
3 0
3 years ago
Read 2 more answers
Find the diagonal of a square whose sides measure 3 square root 2
mrs_skeptik [129]

The Pythagorean theorem can be used to find the length of the diagonal (d) of a square.

d² = (3√2)² + (3√2)² = 18 + 18 = 36

d = √36 = 6

The measure of the diagonal is 6.

8 0
3 years ago
Which of the following coordinates are exactly 5 units from (2, -1)? Select all that apply. (3, 4) (5, 3) (-2, 2) (-3, -1)
Alina [70]
(-3,-1) , (3,4), (5,3) hope this helps! ;)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the correct formula to find the distance between two points (p, q) and (m, n)?
    6·1 answer
  • what is the median number of car show this month Frank 25, Sarah 20, randall 15, Brahim 22, Alice 20,
    10·1 answer
  • Find the mean of the data set. –6 3 –2 6 7 –3 –5
    5·1 answer
  • What is the volume of a sphere with a radius of 4 cm?
    6·2 answers
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    8·1 answer
  • Researchers are testing a new diagnostic tool designed to identify a certain condition. The null hypothesis of the significance
    12·1 answer
  • Line DE contains the points D (–1, –4) and E (3, 3). Line FG contains the point F (–3, 3). Which set of coordinates for point G
    11·1 answer
  • Sally ate 2 pieces of pepperoni pizza. Later she ate 1 slice of the cheese pizza. Which of the following ratios identifies how m
    15·2 answers
  • 10 mm<br> 6 mm<br> b<br> What is the length of the missing leg?
    5·1 answer
  • So confused somebody help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!