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
dezoksy [38]
3 years ago
6

A school graduation class wants to hire buses and vans for a trip to Jasper National Park. Each bus

Mathematics
1 answer:
BARSIC [14]3 years ago
6 0
Let the school hire x buses and y vans.

A bus can hold 40 students and 3 teachers.
A van can hold 8 students and 1 teacher.

The number of students riding in  buses and vans is at least 400, therefore
40x + 8y ≥ 400          (1)

The number of teachers riding in buses and vans is at most 36, therefore
3x + y ≤ 36                (2)

Write (1) and (2) as
y ≥ 50 - 5x                 (3)
y ≤ 36 - 3x                 (4)

The equality portion of the solution of (3) and (4) is
36 - 3x = 50 - 5x
2x = 14
x = 7   =>  y = 36 - 3*7 = 15

A graph of the inequalities indicates the acceptable solution in shaded color, as shown below.

The minimum cost of renting buses and vans is
7*$1200 + 15*$100 =  $9900

Answer: The minimum cost is $9,900

You might be interested in
The two-way table shows the number of students in a school who have bikes and/or skateboards at home:
Rus_ich [418]
The answer to your question is : C. 30
You subtract 72 and 42
72-42=30
7 0
3 years ago
Read 2 more answers
the measure of ∠D is 5 times the measure of ∠E the two angles are supplemanty find the measure of each angle
hammer [34]
Because the angles are supplementary, they add to 180 degrees.

I solved this by dividing \frac{180}{6} which gives me 30 degrees.

multiply 30 by 5 gives you 150.

and 30 + 150 = 180 
3 0
3 years ago
Read 2 more answers
The pitchers that Isaac bought for the party each hold 2 quarts of liquid. If he makes 15 pints of smoothie and has three pitche
Strike441 [17]
The answer is 3, hope this helps!
7 0
3 years ago
18. How can you tell if a fraction will have a repeating decimal
GaryK [48]
Terminating and Repeating Decimals. Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of , then you have a terminating decimal.
7 0
3 years ago
The National Assessment of Educational Progress (NAEP) gives a math assessment every year to 12th graders in the U.S. On the mat
amid [387]

Answer:

The correct answer is option 2.

Step-by-step explanation:

In this case we need to test whether young men nationwide have a mean score below 275 in the National Assessment of Educational Progress math assessment.

The hypothesis is defined as follows:

<em>H₀</em>: <em>μ</em> = 275 vs. <em>Hₐ</em>: <em>μ</em> < 275

The significance level of the test is <em>α</em> = 0.05.

The <em>p</em>-value of the test is computed as, <em>p</em>-value = 0.20.

Decision rule:

A small <em>p</em>-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (<em>H₀</em>), so you discard the null hypothesis.

A large <em>p</em>-value (> 0.05) specifies fragile proof against the null hypothesis, so you fail to discard the null hypothesis.

<em>p</em>-value = 0.20 > <em>α</em> = 0.05.

The null hypothesis was failed to rejected at 5% level of significance.

Thus, it can be concluded that there is not enough evidence to conclude that the mean score is less than 275 for young men nationwide.

Thus, the correct answer is option 2.

5 0
3 years ago
Other questions:
  • In how many ways can eight tickets be put
    12·1 answer
  • What is the volume of a rectangular prism with the dimensions: base 5/ 8 cm, height 3/8 cm, and length 7/8 cm?
    10·2 answers
  • Which is the best buy?
    10·2 answers
  • What is the range of the function f(x) = 3x2 + 6x – 8?
    10·2 answers
  • The product of 4x and 0 is:<br> 4x<br> 4<br> 0
    5·1 answer
  • If f(x)=x²-16 is continuous at x = -4, find f(-4).
    7·2 answers
  • A bicyclist travels 32 kilometers for 2 hours and then and 13 kilometers for the next hour. Calculate the average speed.
    13·1 answer
  • A figure skater begins spinning counterclockwise at an angular speed of 4.5 π rad/s. During a 4.8 s interval, she slowly pulls h
    11·1 answer
  • (Middle school math) please help, thank you
    9·2 answers
  • PLEAS HELP!<br> The diagram shows a convex <br> polygon. <br> What is the value of a?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!