A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones? $1,400 $1,600 $1,700 $1,800

Answers

Answer 1

Answer:

The minimum cost for the transportation for the field trip is $1700

Step-by-step explanation:

Let x be the no. of large buses and y be the no. of small buses

Number of students in large bus = 60

Number of students in x large buses = 60x

Cost of 1 large bus =$300

Cost of x large buses = 300x

Number of students in small bus = 45

Number of students in y small buses = 45y

Cost of 1 small bus =$200

Cost of y small buses = 200y

Cost = 300x+200y

We are given that A school district needs to arrange transportation for at least 360 students

[tex]60x+45y \geq 360[/tex]

The district only has chaperones for, at most, seven buses.

[tex]x+y \leq 7[/tex]

Plot the lines on graph

[tex]60x+45y \geq 360[/tex] --- Black region

[tex]x+y \leq 7[/tex] --- Red region

Feasible points :

At(3,4)

Cost  = 300x+200y=300(3)+200(4)=1700

At(7,0)

Cost  = 300x+200y=300(7)+200(0)=2100

At(6,0)

Cost  = 300x+200y=300(6)+200(0)=1800

So, The minimum cost for the transportation for the field trip is $1700

A School District Needs To Arrange Transportation For At Least 360 Students For A Field Trip. The District
Answer 2

Answer:

1700

Step-by-step explanation:

2020 edge


Related Questions

What does it mean by "interpret its meaning"? I underlined it for you guys.

Answers

Like what is it’s meaning in that problem.

Answer:

1: 300 miles/hour; 2: 5$/hour; 3: 10$ sales price/20$ retail price.

Step-by-step explanation:

1: You have to find the amount of distance traveled per hour.

Answer: 300 miles per hour.

2. You have to find the amount of money earned per hour.

Answer: 5$ per hour.

3: You have to find the sales price per retail price.

Answer: 10$ of sales price per 20$ of retail price.

PLEASE HELP ME ASAP!!!!!!!!

Answers

Answer:

-3(-1)=

Step-by-step explanation:

What is the measure of angle x? 62" X​

Answers

Answer:

c

Step-by-step explanation:

62+90=152

180-152=28

the sum of the interior angles must equal 180 degrees

Angle x measures 28°

What is triangle?

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given,

In the figure, interior angles of triangle measures =

62°, right angle = 90°, x

Sum of interior angles of a triangle = 180°

⇒ 62° + 90° + x = 180°

⇒ 152° + x = 180°

⇒ x = 180° - 152°

⇒ x = 28°

Hence, 28° is the measure of angle x.

Learn more about triangle here:

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x2 + 45x = -200 Using the quadratic formual and the discirimnat

Answers

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

[tex]b^{2}-4ac[/tex]

Every quadratic formula has the structure:

[tex]ax^{2} +bx+c=0[/tex]

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

[tex]x^{2} +45x+200=0[/tex]

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

[tex](45)^{2} -4(1)(200)[/tex]

Solve:

[tex]2025-800=1225[/tex]

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]

(Same discriminant value)

[tex]x=\frac{-45+/-35}{2}[/tex]

Now to find the two solutions, we use both signs in the equation. Solution 1:

[tex]x=\frac{-45+35}{2}[/tex]

[tex]x=\frac{-10}{2}=-5[/tex]

Our first solution is -5, now for the second:

[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]

The two solution to this equation are -5 and -40.

Hope this helped!

. Keisha and her mom are at the grocery store. Keisha's mom allows her to buy a 2 pound bag of candy. Keisha can choose gummy worms, which are .40 cents per pound, or she can choose sour patches, which are .60 cents per pound. How much of each candy can Keisha buy?

Answers

Answer:

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

Step-by-step explanation:

Keisha is allowed to buy only 2 pounds bag of candy.

Now, she can choose either gummy worms or sour patches.

Gummy worms are 0.4 cents per pound while sour patches are 0.6 cents per pound.

Thus, maximum amount she can spend on gummy worms is; 0.4 × 2 = 0.8 cents

Maximum she can spend on sour patches is; 0.6 × 2 = 1.2 cents

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

PLS HELP!! WILL REWARD AND GIVE OUT BRAINLIEST!

Answers

Answer:

So the correct answer would be x=7

Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.

Answers

Can you post one with a picture of the input/output tables? I don't see any.

a=x+y/2 Solve for y
I need this ASAP, please

Answers

Answer:

2A=

Step-by-step explanation:

Being in the same denominator makes the task much simpler.

Explanation:

A

=

X

+

Y

2

Simplify using the property

a

b

=

m

n

a

×

n

=

b

×

m

2

A

=

X

+

Y

2

A

X

=

Y

Hopefully this helps!

Answer:

the answer is y = 2a - 2x

Step-by-step explanation:

That's what I get when I solve for y

Find the size of unknown angles

Answers

Answer:

ok in this diagram we have two triangles the first triangle all angles are unknown the second triangle we have the values of two angles so we will start with the second triangle and as you know angles in a triangle add up to 180° so we will take 35 degrees + 30 degrees and name the unknown angle x is equals to 180 degrees so it will be 65 degrees + x is equals to 180° put the like terms together x will be equal to 180 degrees - 65 degrees it becomes a minus because when a plus crosses the equal sign it becomes - so x is equals to 115° and as you can see in the diagram 115° is vertically opposite z then you can extend the lines so as to understand the diagram better when you extend the lines you find that 35 degrees is equal to angle v so it will be 115 degrees + 35 degrees + x is equals to 180 degrees so 150° + x is equals to 180 degrees put the like times together x is equals to 180 degrees minus 150° x is equals to 30 degrees

Write a slope intercept equation for line with the given characteristics m=-3/5 passes through (4,-4)

Answers

Step-by-step explanation:

Hey there!

Given;

Slope (m) = -3/5

And passes through the point(4,-4).

Now; The equation of a line in slope intercept form is y= mx+b.

So, try to bring it in y= mx+b form.

Firstly let's use one-point formula.

[tex](y - y1) = m(x - x1)[/tex]

Now, keep all values.

[tex](y + 4) = \frac{ - 3}{5} (x - 4)[/tex]

Now, simplify to get answer.

[tex]5(y + 4) = - 3(x - 4)[/tex]

[tex]5y + 20 = - 3x + 12[/tex]

[tex]5y = - 3x + 12 - 20[/tex]

[tex]5y = - 3x - 8[/tex]

[tex]y = \frac{ - 3}{5} x - \frac{8}{5} [/tex]

Therefore the equation is y = -3/5x - 8/5.

Hope it helps...

Darnell is building a model submarine using a scale of 1 inch = 16 feet.
a. The finished length of the model is 27 inches. What is the actual length of the submarine?
b. Suppose Darnell creates another model and decides to use a different scale. An actual length of 42 feet is shown on the new model as 12
inches. Complete the ratio for the new scale.
1 inch = feet

Answers

Answer:

A.  432 feet.

(I'll let somebody else answer B cause im to dum for dat)

Step-by-step explanation:

I did the math and checked :)

Melanie had 3 pounds of dried fruit. She packed the dried fruit into bags of 3/8 pound each. How many bags of dry fruit does she pack?

Answers

Answer: 8 bags

Step-by-step explanation:

From the question, we are informed that Melanie had 3 pounds of dried fruit and that she packed the dried fruit into bags of 3/8 pound each.

For us to get the number of bags of dry fruit does she will pack, we have to divide 3 pounds by 3/8 pounds. This will be:

= 3 ÷ (3/8)

= 3 × (8/3)

= 8

Therefore, she will pack 8 bags of dried fruit.

It’s a written I just took the test

Answers

Um... is there a question?

Find the vertex and the axis of symmetry of the graph of y=-6(x+4)^2 – 3.

Answers

Answer:

vertex = (- 4, - 3 ), equation is x = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 6(x + 4)² - 3 ← is in vertex form

with (h, k ) = (- 4, 3 ) ← vertex

The equation of the axis of symmetry is a vertical line passing through the vertex, with equation

x = - 4

.To find a shoe size, the manufacturer uses the equation S = 3f - 22, where S
represents the shoe size and f represents the heel-to-toe length of the foot, in
inches. Which of the following is the same equation solved for fin terms of
S?

Answers

See attachment for math work and answer.

Answer:

Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?

A. $486.93

B. $483.93

C. $489.93

D. $480.93

Step-by-step explanation:

help me with this question

Explain or show that the point (5,-4) is a solution to this system of equation 3x-2y=23

Answers

Answer:

Step-by-step explanation:

3(5)-2(-4)=23

15+8=23

23=23

The system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation of linear equation is:

3x - 2y = 23

The point is (5, -4)

Plug x = 5 and y = -4

3(5) - 2(-4)  = 23

15 + 8 = 23

Thus, the system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.

Learn more about the linear equation here:

brainly.com/question/11897796

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which equation shows the point-slope tor of the line that passes through (3, 2) and has a slope of 1/3
Y+ 2 = 1/3 (x + 3)
y -2 = 1/3 (x-3)
y+3 = 1/3 (x+3)
y - 3 = 1/3 (x - 2)

Answers

Answer:

y - 2 = [tex]\frac{1}{3}[/tex] (x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = [tex]\frac{1}{3}[/tex] and (a, b) = (3, 2) , thus

y - 2 = [tex]\frac{1}{3}[/tex](x - 3)

Given : A line passes through a point ( 3 , -2 ) and the slope of the line is ⅓ .

To Find : The equation of that line .

Solution : Here we are provided with a point ( 3 , -2 ) and slope of the line which is ⅓ . So clearly here to represent the line we will use point - slope form , which is ;

[tex]\large\underline{\boxed{\red{\bf y - b = m ( x - a ) }}}[/tex]

Where ,

a is x - coordinate.b is y - coordinate .m is the slope of the line .

Here ,

a = 3 b = -2m = ⅓ .

Now , put the respective values ;

[tex]\boxed{\purple{\sf y - 2 = \dfrac{1}{3}(x-3)}}[/tex]

A conveyor belt moves at a constant rate of 12 feet in 3 seconds. A second conveyor belt moves at a constant rate of 21 in 7 seconds. Does this situation represent a proportional relationship?

Answers

Answer:

No.

Step-by-step explanation: If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship.

Min read his book for 1/3 hour before dinner. He read his book for 1 1/4 hours after dinner. Altogether, how many hours did min read his book?

Answers

Answer:

1 7/12

Step-by-step explanation:

The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12

Answer:37/12

Step-by-step explanation:

1/3+11/4=37/12

Write 822 in scientific notation.

Answers

Answer:

8.22 × 10²

Step-by-step explanation:

Scientific Notation: x.xx × 10ⁿ

We simply follow the base 10 decimal system to convert from standard form to scientific notation:

822 = 8.22 × 10²

En el rombo la diagonal mayor es la mediatriz de la diagonal menor, ¿verdadero o falso?

Answers

Answer:

Creo que eso es cierto también grandes habilidades españolas

Step-by-step explanation:

10. Which of the following rational numbers is the smallest?Required to answer. Single choice.

(1 Point)

4/7

-26/7

0

-1.6​

Answers

Step-by-step explanation:

-26/7 = -3 5/7

Because that is the smallest

'Hope it would help'

Answer:

0

Step-by-step explanation:

0 is the smallest rational number.

HELPPP 16 POINTS. It was estimated that 325 people would attend game night, but 315 people actually attended.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.

Answers

Answer:

3%

Step-by-step explanation: 315/325 as a percent would be 96.92%. After finding that, we would do 100 - 96.92, yielding 3.08, 3.08 to the nearest percent would result in 3%

Answer:

the answer to the nearest percent is 3%

Which expressions are equivalent to -6(b + 2) + 8?
Choose all answers that apply:
A -66 + 2 + 8
B - 66 - 4
C None of the above

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Its not a because all they did was take the variable out the equation the answer is b cause they solve for b

please help im struggling really bad on this one question.

Answers

Answer:

B

Step-by-step explanation:

90 degrees means 1/4 of 360 degrees. If you think about it like a clock it would be at 3:00. B is the representation of that

Answer:

B

Is going clock wise I dont really know how to explain it

Which expression has the greatest value?

A 3 divided by 1/6
B 5 divided by 1/6
C 5 divided by 1/2
D 3 divided by 1/2

Answers

the answer is c you just have to solve each one

Help me plz!!!!!!!!!!!

Answers

Answer:

88%

Step-by-step explanation:

22/25 = .88 x 100= 88%

Answer:

88%

Step-by-step explanation:

First, you start with the bottom (denominator). You turn it into 100 since all percentages are over 100. So 25 times 4 is 100. Therefore, you also have to multiply the top with a 4, getting an 88 over 100. That is equal to 88%.

Can you please help me? I will give brainliest, I appreciate it :) Thanks!

Answers

Answer:

I going to say this should be easy because there must be a f(x) in a function so I think the answer is A.

Step-by-step explanation:

I think that functions must have f(x) in the equation.

Solve for y.
24=8/3y

Simplify your answer as much as possible.

Answers

I can't tell necessarily what the question is but I'd it is 24= 8÷3y then y is 1/9

if the question is 24=8/3(y) then the answer is y=9

Answer:

24 = [tex]\frac{8}{3}[/tex] y

[tex]\frac{8}{3}[/tex] = 2.6 repeating

24 ÷ 2.6 repeating = 9

Step-by-step explanation:

drag each item to its correct place es de monomios​

Answers

Answer:

Step-by-step explanation:

-2x

Grado : 1

Coefficiente  : -2

Parte literal :   x

x²y⁴:

Grado : 2+4 = 6

Coefficiente  : 1

Parte literal :   x²y⁴

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