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3 years ago

Fill in the blanks. # 3, 4, and 5

Mathematics

1 answer:

Nat2105 [25]3 years ago

3 0

Answer:i dont know

Step-by-step explanation:

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A bus company has contracted with a local high school to carry 450 students on a field trip. The company has 18 large buses whic

Galina-37 [17]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the big buses and y represent small buses. The large buses can carry 30 students and the small buses can carry 15 students. The total number of students are 450, this can be represented by the inequality:

30x + 15y ≤ 450

They are only 20 drivers, therefore only 20 buses can be used. It is represented by:

x + y ≤ 20

They are only 19 small buses and 18 large buses:

x ≤ 18

y ≤ 19

After plotting the graph, the minimum solution to the graph are at:

A (15,0), B(18,0), C(10, 10), D(18, 2).

The cost function is given as:

The total cost of operating one large bus is $225 a day, and the total cost of operating one small bus is $100 per day.

F(x, y) = 225x + 100y

At point A:

F(x, y) = 225(15) + 100(0) = $3375

At point B:

F(x, y) = 225(18) + 100(0) = $4050

At point C:

F(x, y) = 225(10) + 100(10) = $3250

At point D:

F(x, y) = 225(18) + 100(2) = $4250

The minimum cost is at point C(10, 10) which is $3250

3 0

3 years ago

Which expression is equivalent to 8a + 14? 2(2a + 12) 4(4a + 10) 4(2a+8) 2(4a +7)

inessss [21]

Answer is D, 2(4a + 7.)

A is equivalent to 4a + 24.

B is equivalent to 16a + 40.

C is equivalent to 8a + 32.

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7 0

3 years ago

Which of the following equations have no solution? Check all that apply.

Nana76 [90]

Answer: all of them

Step-by-step explanation: im smart

7 0

3 years ago

Read 2 more answers

What is (14x^2– 27x+9) / (7x-3)? A. 7x-3 B. 2x-3 C. -211x+9 D. 2x-33

Yakvenalex [24]

Answer:

B. 2x - 3

Step-by-step explanation:

$\rm \frac{ {14x}^{2} - 27x + 9}{7x - 3}$

$\rm = \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}}$

$\boxed{ \rm \bold{= 2x - 3}}$

4 0

3 years ago

A kite is a quadrilateral with two pairs of adjacent, congruent sides. The vertex angles are those angles in between the pairs o

umka21 [38]

Let the kite is the quadrilateral A B C D with the two pairs of adjacent congruent sides. (Please find the attached diagram also)

Now, its given in question, see from figure,

AB is congruent to AD

BC is congruent to DC

So, let us join the points A & C to form AC ; and points B and D to form BD.

So, AC is common side to triangles ABC and ADC.

So, Because AB ≈AD

BC ≈ DC

And, AC is common, therefore,

triangle ABC is congruent to triangle ADC

⇒∠ ABC ≈ ∠ADC

The above are the angle.

4 0

3 years ago