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:
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
Answer:
1700
Step-by-step explanation:
2020 edge
Related Questions
PLSS HELP DUE IN 4 MINS
Answers
Answer:
The inverse is 1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Exchange x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
x/2 -1/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
Plz Help Ill give brainliest
What is the midpoint of the line segment with the given endpoints?
(−7, 3) and (13, −9)
Answers
Answer:
3, -3
Step-by-step explanation:
PLZ HELP!! ALGEBRA! WILL GIVE U BRAINLIEST!
Answers
Answer:
a. -21 b. 14
Step-by-step explanation:
For a, -3x4=-12, and then -12-9=-21. For b, -1/3x-3=1, and then 1+13=14. Hope it helps!
Answer: A.) -21
B.) 14
Step-by-step explanation:
f(-3)=x
A.) f(-3) = 4(-3) - 9
= -12-9
= - 21
B.) f(-3) = -1/3(-3) + 13
= 1 + 13
= 14
Have a nice day good night
Find ABC, Please help!
Answers
Answer:
50°
Step-by-step explanation:
Angle A = AngleB (Corresponding angles)
x=2x-50
x=50°
Hope it helps
Answer:
∠ ABC = 50°
Step-by-step explanation:
2x - 50 and x are corresponding angles and congruent, thus
2x - 50 = x ( subtract x from both sides )
x - 50 = 0 ( add 50 to both sides )
x = 50
Thus
∠ ABC = x = 50°
Help please, I need this done as soon as possible
Answers
Answer:
b
Step-by-step explanation:
helpgchjsghjcvbxnvbsvjdgasghgbhdvbahgvgbd
Answers
Answer:
yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet
Step-by-step explanation:
R(5. -4) reflect it across the y-axis.
Answers
Answer:
(-5,-4)
Step-by-step explanation:
reflection over y-axis makes (x,y) become (-x,y)
Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.
Answers
Answer:
$3.6Step-by-step explanation:
Given that 8 rolls cost $4.80
let us compute how much 1 roll will cost (that is the unit cost of a roll)
so 8 rolls cost $4.80
1 roll will cost x
x= 4.8/8
x=$0.6
so the paper tower cost $0.6 per roll (this is the rate)
therefore 6 rolls will cost
=6*0.6
=$3.6
can someone PLEASE help with this i don’t understand at all
Answers
therefore, those two added together would equal 180°
to solve for y, we just half to make an equation that does what we just planned
so: (2y + 50) + (5y - 17) = 180
now, just solve for y
7y + 33 = 180
7y = 147
y = 21
now, to solve for x, we’ll do the same thing (as those are also supplementary)
(7x - 248) + (x + 44) = 180
8x - 204 = 180
8x = 384
x = 48
now that we have x and y, just plug them into the expressions to get the degree values
top right: 2y + 50 = 2(21) + 50 = 42 + 50 = 92°
bottom right: 5y - 17 = 5(21) - 17 = 105 - 17 = 88°
top left: 7x - 248 = 7(48) - 248 = 336 - 248 = 88°
bottom left: x + 44 = 48 + 44 = 92°
Solve.
3(x-4) = -3
How do i slove this
Answers
Answer:
[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]
Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.
Answer:
You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.
Step-by-step explanation:
3(x)=3x
3(-4)=-12
3x+-12=-3
then evaluate using inverse operations to get x=3
HELP ASAP
Jason has $2.25 worth of dimes and quarters. He has twice as many dimes as quarters. Determine the number of dimes and the number of quarters that Jason has.
Answers
Answer:
Step-by-step explanation:
let the number of dimes=x
and number of quarters=y
x=2y
0.10 x+0.25 y=2.25
or 10x+25y=225
divide by 5
2x+5y=45
2 ×2y+5y=45
4y+5y=45
9y=45
y=45/9=5
x=2y=2×5=10
Hence dimes=10
quarters=5
Which equation represents the graphed function?
A. -3x+2=y
B. -2/3x+2=y
C. 3/2x-3=y
D. 2x-3=y
Plz help me I am taking the unit test on edge
Answers
Answer:
try c, i took the test as well its either that or b
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
Given the formula below, solve for x
Answers
Answer:
Step-by-step explanation:
Sorry but please give detailed question
Write the equation of the parabola in vertex form.
Vertex: (−3,7); Point: (−2,−5)
Answers
Answer:
y = - 12(x + 3)² + 7
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
Here (h, k ) = (- 3, 7 ), thus
y = a(x - (- 3))² + 7 , that is
y = a(x + 3)² + 7
To find a substitute (- 2, - 5) into the equation
- 5 = a(- 2 + 3)² + 7 ( subtract 7 from both sides )
- 12 = a(1)² = a
y = - 12(x + 3)² + 7 ← equation in vertex form
A math class is having a discussion on how to determine if the expressions 4x-x+ 5 and 8-3x-3 are equivalent using
substitution.
The class has suggested four different methods.
Which describes the correct method?
O Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the
two expressions must be equivalent.
OBoth expressions should be evaluated with one value. If the final values of the expressions are the same, then the
two expressions must be equivalent.
O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are positive, then the two expressions must be equivalent.
O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are the same, then the two expressions must be equivalent.
Answers
Answer:
the correct answer is the second one
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When you are trying to find if they are equivalent, you only want to use one value. If they are both positive, it doesn't mean that they are quivalent. They would have to be the same.
12. Bob thought of a number, added 5, multiplied
by 3 and took away 5 to give an answer of 10.
What was the starting number?
Answers
Answer:
0
Step-by-step explanation:
Say the number was x.
3(x+5)-5=10
3(x+5)=15
x+5=5
x=0
Fun fact : bannanas are curved because they are growed toward the sun
Answers
Answer:
That is Cool
Step-by-step explanation:
Because it just is.
PLEASE HELP ASAP DUE SOON
Answers
the answer is
C. neither
what is the explicit formula for this sequence? -8, -3, 2, 7
Answers
Answer:
an+9n-11
Step-by-step explanation:
3 consecutive even integers that add up to 36
Answers
Answer:
10, 12, 14
Step-by-step explanation:
Answer:
10,12 and 14
Step-by-step explanation:
Hope that helps <3
How do I solve both of the scenarios
Answers
Answer:
Scenario 1/129 veggie rolls/Scenario 2/59 Shrimpy BOis
Step-by-step explanation:
1/
129x .75 = 96.75=97
.95 x 56 = 53.2=53
2/
59 x .95 = 56.05=56
.75 x 38 = 28.5=28
what is the common difference between successive terms in the sequence
Answers
9,2.5,-4,-10.5,-17
Let's find the difference between two consecutive terms
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
Answer:
The common difference between 9, 2.5, –4, –10.5, –17, ...
Is –6.5
Step-by-step explanation:
Because,
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measerment he oringinaly planned for the lenth of the pool to be 40m but decided to change to 32 m if the lenth of the pool in his scsale drawing is 8 centimeters which statement about the change of scale is true
Answers
Answer:
The question is not complete, fortunately, I found a match:
Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. he originally planned for the length of the pool to be 40 m but decided to change it to 32 m. if the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?
one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
one cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.
one cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.
one cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.
answer:
one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
Step-by-step explanation:
To calculate the scaling factor, we will divide the actual figure by the figure in the scale.
Before the change: 8cm in the drawing represents 40m
8cm ≡ 40m
∴ 1cm ≡ 40 ÷ 8 = 5m
∴ 1 cm represents 5m
After the change: 8cm in the drawing represents 32m
8cm ≡ 32m
∴ 1cm ≡ 32 ÷ 8 = 4
∴ 1cm represents 4m
Therefore, one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
Answer:
It’s the first choice
Step-by-step explanation:
Convert 1/12 ft. To inches.
Answers
Answer:
1 inch
Step-by-step explanation:
There are 12 inches in 1 foot so 1/12 is 1 inch
1 foot = 12 inches
1/12 feet = 1 inch
12. A worker can pack 72 boxes of oranges in 2 hours. At this rate, how many boxes of oranges can she pack
in 8 hours?
Answers
36
36*8
Answer
288
The perimeter of a rectangle is 22cm. The area is 28cm squared, what are the length of the sides?
Answers
I just need to fill 20 characters, the answer is right there on the sheet
given m<12 =121 and m<6 =75 find the measure of the missing angles
Answers
Answer:
a. m∠1 = 75°
b. m∠2 = 46°
c. m∠3 = 59°
d. m∠4 = 59°
e. m∠5 = 46°
f. m∠7 = 121°
g. m∠8 = 59°
h. m∠9 = 62°
i. m∠10 = 118°
j. m∠11 = 59°
k. m∠13 = 118°
i. m∠14 = 62°5
Example 5
m∠1 =78°
m∠2 = 102°
m∠3 = 59°
m∠4 = 102°
m∠5 = 38
m∠6 = 142°
m∠7 = 38°
m∠8 = 142°
m∠9 = 78°
m∠11 = 78°
m∠12 = 102°
m∠13 = 38°
m∠14 = 142°
Step-by-step explanation:
a. m∠1 ≅ m∠6 (Alternate angle theorem)
m∠1 = m∠6 = 75° (Definition of congruency)
m∠1 = 75°
b. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)
m∠5 = 121° - 75° = 46°
m∠5 = 46°
m∠2 ≅ m∠5 (Alternate angle theorem)
m∠2 = m∠5 = 46° (Definition of congruency)
m∠2 = 46°
c. m∠3 = 180 - (m∠1 + m∠2) (Angle subtraction and sum of angles on a straight line)
m∠3 = 180 - (75 + 46) = 59°
m∠3 = 59°
d. m∠4 = 180 - (m∠1 + m∠5)
m∠4 = 180 - (75 + 46) = 59°
m∠4 = 59°
e. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)
m∠5 = 121° - 75° = 46°
m∠5 = 46°
f. m∠7 = m∠12 = 121° (Alternate angle theorem)
m∠7 = 121°
g. m∠8 = 180 - m∠7 = 180 - 121 = 59°
m∠8 = 59°
h. m∠9 + m∠5 + m∠8 = 180 (The sum of the interior angles of a triangle)
m∠9 = 180 - (59 + 59) = 62°
m∠9 = 62°
i. m∠10 = 180 - m∠9 = 180 - 62 = 118°
m∠10 = 118°
j. m∠11 = m∠8 = 59°
m∠11 = 59°
k. m∠13 = m∠10 = 118°
m∠13 = 118°
i. m∠14 = m∠9 = 62°
m∠14 = 62°
Example 5
m∠5 = m∠7 = 38
m∠5 = 38°
m∠6 = 180 - 38 = 142°
m∠6 = 142°
m∠8 = m∠6 = 142°
m∠8 = 142°
m∠12 = m∠10 = 102°
m∠12 = 102°
m∠11 = 180 - m∠12 = 180 - 102 = 78°
m∠11 = 78°
m∠9 = m∠11 = 78°
m∠9 = 78°
m∠1 = m∠9 = 78°
m∠1 =78°
m∠3 = 78°
m∠2 = m∠4 = m∠10 = 102°
m∠13 = 360 - (m∠3 + m∠6 + m∠12) = 360 - (78 + 142 + 102) = 38°
m∠13 = 38°
m∠15 = 38°
m∠14 = m∠16 = 180 - m∠15 = 180 - 38° = 142°
m∠14 = 142°
m∠16 = 142°
What is the slope of the graph of 3x - 3y = 6?
Answers
Answer:
pls help
Step-by-step explanation:
1. Half of a number is at most 5 units from 14.
Answers
Answer:
18≤n≤38
Step-by-step explanation:
Hallie has 10 times as many pages to read for her homework assignments as Janet. Altogether, they have to read 264 pages. How many pages does each girl have to read?
Answers
Answer: 24 pages
Step-by-step explanation:
10 times 24 equals 240
Answer:
Janet has to read 24 pages.
Hallie has to read 240 pages.
Step-by-step explanation:
If Janet has to read n pages, then Hallie has to read 10×n.
Together they have to read 11 × n = 264 pages, so: n=264÷11=24.
Hope this helps