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
Lena [83]
3 years ago
14

Pine Bluff Middle School is having its annual Spring Fling dance, which will cost \$400$400dollar sign, 400. The student treasur

er reported that the dance fund has \$75$75dollar sign, 75 left over from last year. Each ticket to the dance costs \$4$4dollar sign, 4. Let ttt represent the number of tickets sold. Write an inequality to determine how many tickets must be sold to pay for this year's dance. What is the minimum whole number of tickets that must be sold to fund the dance?
Mathematics
2 answers:
nikklg [1K]3 years ago
7 0

The <em><u>correct answers</u></em> are:

The inequality is 75+4t ≥ 400, and they must sell at least 82 tickets.

Explanation:

t is the number of tickets sold. They start out with $75, so that is where our inequality begins. Each ticket is $4; this gives us the expression 4t. Together with the $75 carry over, we have 75+4t.

They must make at least $400 to pay for the dance. This means it must be more than or equal to 400; this gives us 75+4t ≥ 400.

To solve this, first subtract 75 from each side:

75+4t-75 ≥ 400-75

4t ≥ 325

Divide both sides by 4:

4t/4 ≥ 325/4

t ≥ 81.25

We cannot sell a portion of a ticket, so we round. While mathematically this number would "round down," if they only sell 81 tickets, they will not have enough money. Therefore we round up to 82.

Burka [1]3 years ago
5 0

Let

t---------> represent the number of tickets sold

Part a) Write an inequality to determine how many tickets must be sold to pay for this year's dance

we know that

4t+75 \geq 400\\ 4t \geq (400-75)\\ 4t \geq 325\\ t \geq 325/4\\ t \geq 81.25

therefore

the answer Part a) is

The inequality to determine how many tickets must be sold to pay for this year's dance is equal to t \geq 81.25

Part b) What is the minimum whole number of tickets that must be sold to fund the dance?

if

t \geq 81.25

then

the minimum whole number is 82

therefore

the answer Part b) is

82

You might be interested in
Please help me please
Levart [38]

Answer:

Alternate Interior Angles Theory

Step-by-step explanation:

Any number inside the angle is known as an Alternate Interior Angle.

7 0
3 years ago
There are four more women than men at a golf club.
marissa [1.9K]

Answer: I think its 4 + 2m

5 0
3 years ago
Which rectangular shape should the class select for their arts and crafts?12
Marta_Voda [28]

Answer:

Step-by-step explanation:

oisemakers, paper flowers, and more with these classroom craft ideas your students will love. ... Have students choose a hat and then decorate it in a way that reflects them, using ... Watch young artists blossom as they transform egg cartons into colorful flowers.

3 0
3 years ago
Given the data below:
Leno4ka [110]

Answer:

5.16

Step-by-step explanation:

Since after x=3, value of y starts decreasing for increasing values of x, let's choose. Also we need to find f(x) for x=3.4

x=3,4,5 and f(x)=7,3,1 to find lagrange polynomial

P(x)= ((x-x2)(x-x3)y1)/((x1-x2)(x1-x3) + ((x-x1)(x-x3)y2)/((x2-x1)(x2-x3) + ((x-x1)(x-x2)y3)/((x3-x1)(x3-x2)

P(x)= ((x-4)(x-5)7)/((3-4)(3-5)) + ((x-3)(x-5)3)/((4-3)(4-5)) + ((x-3)(x-4)1)/((5-3)(5-4))

P(x)= x² -11x+31

P(3.4)= 5.16

7 0
3 years ago
A computer repair service charges a one-time bench fee of $50 to diagnose the problem
polet [3.4K]
Y=35x+50 bc you already have to pay 50$ and then you spend 35 a hour and the X represents how many hours.
4 0
3 years ago
Other questions:
  • Anna has been studying a type of bacteria that triples every month. Originally, there were 4 bacterial cells. She wants to know
    7·1 answer
  • The farm keeps 20 gallons of the milk produced each day to use on the farm and sells the rest of the milk to a distributor to be
    8·1 answer
  • 8x+15 =2 (4x)<br> im on a test please help
    9·2 answers
  • Please help me I need to know how to do this question, h^2-h-20/h^2-25
    5·1 answer
  • Domain and range from the graph of a discrete relation.
    9·1 answer
  • At the end of last week, a baseball player’s average was .256. One week later, after getting 12 hits in 35 at-bats, the player’s
    15·1 answer
  • A cereal box's length is 25 cm, height is 30 cm and width is 10 cm.
    6·1 answer
  • Help me do this Please please
    13·2 answers
  • What single or double digit numbers make a SUM of 40?
    7·1 answer
  • The points (–7, 7) and (6, –6) fall on a particular line. What is its equation in slope-intercept form?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!