A cargo helicopter delivers only 100100100-pound packages and 120120120-pound packages. For each delivery trip, the helicopter must carry at least 101010 packages, and the total weight of the packages can be at most 1{,}1001,1001, comma, 100 pounds. What is the maximum number of 120120120-pound packages that the helicopter can carry per trip?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Given that:

Weight of package delivered = 100 - 120 pounds

Number of packages carried per trip is atleast 10 = ≥ 10

Total weight of packages must be at most 1,100 ≤1,100

The maximum number of 120 pound packages the helicopter can carry:

Maximum capacity = 1100 pounds

Number of packages ≥ 10

Let number of 110 packages carried = x

Number of 120 packages carried = y

x + y ≥ 10 - - (1)

100x + 120y ≤ 1100 - - - (2)

From (1): x ≥ 10 - y

100(10 - y) + 120y ≤ 1100

1000 - 100y + 120y ≤ 1100

1000 + 20y ≤ 1100

20y ≤ 1100 - 1000

20y ≤ 100

y = 5

y = number of 120 pound packages carried

y = 5

Answer 2

Answer:

5

Step-by-step explanation:

Let

x = number of 100 pound packages

y = number of 120 pound packages.

For each delivery trip, the helicopter must carry at least 10 packages.

x + y ≥ 10

x ≥ 10 - y

Total weight of the packages the helicopter can deliver can be at most 1,100 pounds

100x + 120y ≤ 1100

Divide through by 20

5x + 6y ≤ 55

Substitute x ≥ 10 - y into the equation

5(10 - y ) + 6y ≤ 55

50 - 5y + 6y ≤ 55

y ≤ 55 - 50

y ≤ 5

Therefore, the maximum number of 120 pound packages helicopter can carry is 5.


Related Questions

A rectangle has a length of 64 cm. The rectangle is reduced by a scale factor of 3/4. What is the length of the reduced rectangle?

Answers

Answer:

48 cm

Step-by-step explanation:

64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.

I dont understand this, plz help, will mark Branliest!

Solve for x: −3|x + 7| = −12 (2 points)

x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11

Answers

X will equal 11

Work:
-3(x+7)=-12
-3x - -21= -12
-21 + -12= -33
-33/-3 = 11

Quinn had $4.00. He spent 1/2 of his money on chips, 1/4 of his money on a drink, and 1/8 of his money on gum. How much money does Quinn have left?
If the answers good you get bonus points so you can ask more questions!

Answers

Answer:

.50$

Step-by-step explanation:

When you add 1/2, 1/4, and 1/8 you get 7/8. We now know that Quinn spent 7/8 of 4.00$. We multiply 7/8 and 400 and we get 350. That means he spent 3.50$. 4.00-3.50= .50$

Answer:

3.50

Step-by-step explanation:

2.00+1.00+.50=3.50

A landscaper is planting a row of 10 shrubs along the walkway shown below. There must be one shrub at the very beginning and one shrub at the very end, and the shrubs in between will be equally spaced along the length of the walkway. Which equation can the landscaper use to find the distance d, in feet, to leave between the shrubs?

Answers

Answer:

[tex]9d = 36[/tex]

Step-by-step explanation:

See attachment for complete question

[tex]Length = 36ft[/tex]

[tex]n = 10[/tex]

From the question, we understand that one shrub must be at both ends.

Taking the first as a point of reference, we're left with:

[tex](n - 1) * distance = 36[/tex]

Substitute 10 for n and d for distance

[tex](10 - 1) * d = 36[/tex]

[tex]9 * d = 36[/tex]

[tex]9d = 36[/tex]

Hence:

[tex]9d = 36[/tex] answers the question

An object’s volume is 0.12 kL. What is its volume in liters?

Answers

Answer:

120L

Step-by-step explanation:

Given quantity;

    0.12kL to L

Solution:

Convert the given quantity to Liters;

      1000L  = 1kL

So.

        1kL gives 1000L

        0.12kL will be 1000 x 0.12  = 120L

ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!

Answers

Answer:

c

Step-by-step explanation:

dont quote me

Answer:

c.

Step-by-step explanation:

Help please it's a simple question I think but answer it please ​

Answers

Answer:

D. 36

Step-by-step explanation:

because to find volume we should multiply all the side

Answer:

d.36in    

Step-by-step explanation:

please help me with this.

Answers

Answer:

I think ans-d is the answer

Step-by-step explanation:

plz mark me as brainlist

Show me how to do this one someone help

Answers

Answer:

4

Step-by-step explanation:

Answer:

The slope of the line is y = -3x+4.

Please help!
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13

Answers

Answer:

the best way I can explain this is that you have to simplify and you get the other ratio. think of them as fractions.

A pack of 8 pairs costs 9:80. What is the cost of one pair of socks?​

Answers

Answer:

1 1/2

Step-by-step explanation:

Answer:

$1.26

Step-by-step explanation:

  9.80/8 = 1.22500

1.22500 rounded up = 1.26

• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets
paid $30 per day for delivering newspapers. What is the least number of days he must work to
get enough money for his holiday?

Answers

Answer:

15

Step-by-step explanation:

500-60=440

440/30=14.66666667

simplify 14.66666667= 15

             

log 8-log 4/log 4-log 2​

Answers

Answer:

-0.39794000867

Step-by-step explanation:

This is the table in which we can see the values of two squared, two cubed, and so on. This is an operation in mathematics, known as exponentiation. If we look at the numbers at the bottom line, we can try to find the power value to which 2 must be raised to get this number. For example, to get 16, it is necessary to raise two to the fourth power. And to get a 64, you need to raise two to the sixth power. Also this is totally the answer

Answer:

1

Step-by-step explanation:

[tex]\frac{log_{10}(2) }{log_{10}(4)-log_{10}(2) }[/tex]

[tex]\frac{log_{10}(2)}{2log_{10}(2)-log_{10}(2) }[/tex]

Add similar elements [tex]\frac{log_{10}(2) }{log_{10}(2) }[/tex]

Apply rule [tex]\frac{a}{a}=1[/tex]

=1

:)Hope you enjoy this:)

Find the unit rate of miles per gallon for these vehicles

Sedan:
Minivan:
Truck:

Answers

Answer:

Sedan: 18

Minivan:19

Truck: 16

Step-by-step explanation:

Got it right on edge

If you don't trust me sorry but i got it right

2.5 as a simplified fraction​

Answers

Answer:

I believe it would be 5/2

Which word signals a sequence text structure?

both
finally
similarly
since

Answers

Answer:

its finally sorry it tooke so long

Step-by-step explanation:

Answer:

The answer is finally.

Step-by-step explanation: Both would be a compare and contrast text structure and so would similarly. Since would be a cause and effect text structure so the answer has to be finally. You can also tell because it is using key clues like then, after, and finally.

Please help! I will give brainliest!

15 points!!!

Answers

Answer:

1887

Step-by-step explanation:

[tex]\textrm{substitute }x=-5\textrm{ into the equation:}\\2(-5)^{4}-5(-5)^{3}+(-5)^{2}+3(-5)+2\\=2(625)-5(-125)+25-15+2\\=1887[/tex]

Fun fact
During your lifetime, you will produce enough saliva to fill two swimming pools ‍♀️

credit to savannal2250 for the fact

Answers

Answer: wow

               I'd want nothing more than to swim in a pool of saliva.

Let f (x) = 3x² + 2x – 1 and g (x) = x2 – 3x + 1
Find f(x) + g(x)
4x2 - x
4x2 + 5x
2x2 - 5x + 2
4x2 - x + 2

Answers

Answer:

4x² - 1

Step-by-step explanation:

Add:

3x² + 2x - 1

x² - 3x + 1

= 4x² - x

expand and simple 3(x-3) - (x-4)​

Answers

Answer:

Distribute the 3 to the parenthesis, and the -1 to the parenthesis.

This will result to:

3x-9-x+4

2x-5

3(x-3) - (x-4)
3x-3 -1(x-4)
3x-3-1x+4
2x+1

put these numbers in descending order
75%

2/5

0.84

2/3

Answers

I think its

2/5 2/3 75 0.85

A statement that two ratios are equal is called a

Answers

The answer is proportion. A proportion basically equates two ratios.

A statement that two ratios are equal is called a proportion.

In a proportion, the four quantities involved are related in such a way that the first ratio is equal to the second ratio. It can be represented in the form of "a:b = c:d," where "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio.

Proportions are used in various mathematical applications, such as solving problems involving ratios, scaling, similarity, and solving for unknown values. They provide a way to compare quantities and establish relationships between them based on their relative sizes.

Learn more about ratio here

https://brainly.com/question/23499990

#SPJ6

PLEASE ANSWER FAST
A principal spent $1560 total on "c" calculators for his school. Which
expressions shows the cost of ONE calculator.
A. c+ 1560 B. 1560c C. 1560- c D. 1560/c

Answers

Answer:

1560/c

Step-by-step explanation:

if you divide 1560 by c the value you get will be the cost of one calculator.

Answer:

The answer is D. 1560/c

Step-by-step explanation:  

If you divide 1560 by c you will get the cost of one calculator.


Simplify the following expression,
(5^2)^-1

Answers

the answer is 1/25 because u square 5 which is 25. since u can’t have negative exponents on top u move the term to the bottom so the top would just have a place holder of 1.

x^2/(x+2) + 2 (x+2)/x^2 = 3 solve
please help me with steps​

Answers

this photo which I attached is steps of solution and the answer.

y > 3x + 1
2x + 3y 2 6

Answers

Hope this helps I don’t know what your question actually means

I need help with these I also would like it if you showed your work.

Answers

Answer:

1. n=11 2. n=5 3. n=15 4. n=4 5. n=4 6. n=27

Step-by-step explanation:

1. Subtract 2 from 13 to get your answer of 11

2. Divide 15 by 3 to get your answer of 5

3. Multiply both sides by 3 to cancel out the division of 3 and you'll get 30, then divide both sides by 2 to get your answer of 15

4. Add 5 to both sides to cancel out the negative 5 and you'll get 4

5. Subtract 3 from both sides to cancel out the 3 and you'll end up with 2n=8, then you wanna divide both sides by 2 to get your final answer of 4

6. Add 2 to both sides to cancel out the negative 2 and you'll be left with 1/3n=9, next you wanna multiply both sides by 3 to cancel out the 1/3 and you'll get your final answer of 27

1. n + 2 = 13
- 2 -2
subtract 2 from both sides in order to isolate the variable (n) , 2 then crosses out and you are left with n= 11

2. 3n = 15
\ 3 \3

divide by three on both sides in order to isolate the variable (n), 3 crosses out and you are left with 15\3 = 5 . therefore n=5 .

3. 2n/3 = 10
2/3 n = 10
you need to reciprocate by doing this you multiply 2/3 by 3/2 , this cross cancels. you then must do the same for the other side (10) , 10/1 * 3/2 . 10x3 = 30 1*2 =2 , 30/2 therefore n=15 .

4. n -5 = -1
+5 +5
add five to both sides:) , 5 cross cancels and you are left with -1 + 5, this equals 4
therefore n=4.

5. 2n + 3 = 11
this is a two step equation so you need to subtract & multiply. first subtract three from both sides leaving you with 2n = 8
then divide by 2, this isolates the variable. 2/2 you’re left with n and 8/2 is 4, therefore n=4 .

6. 1/3n - 2 = 7
two step equation so you need to multiply and add. first add 2 to both sides -2 + 2 crosses out = 0 and 7 + 2 = 9 . the equation should now be 1/3n = 9
you then need to reciprocate and multiply , 1/3 * 3/1 crosses out and you’re left with n , then do the other side 3/1 * 9/1 , 3*9 = 27 and 1*1 = 1 . therefore n = 27/1 or 27 .

i hope this helped a little :) sorry i couldn’t show all work so i did my best to explain, good luckk .







PLEASE HURRY, MARKING BRAINLIEST.

Solve for the value of x that makes lines a and b parallel.

Answers

x = 16
You set the equations equal and then solvep

Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16

Which equation correctly applies the distributive property?
A. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67​

B .​(42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)​

C. ​2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)​

D. ​−3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)

Answers

The correct answer is B

Answer:

B

Step-by-step explanation:

how do you convert fractions to decimals?​

Answers

Answer:

divide the fractions

Step-by-step explanation:

lets say we have 23/5

we can divide 23 by 5 and get a decimal of 4.6

or lets say we got 1/5

divide 1 by 5 and you will get 0.2

Other Questions
Why did the Tea Act of 1773 anger colonists?A: It meant they would not be able to buy tea.B: It closed the port of Boston to all trade.C: It forced merchants to buy tea from Africa.D: It favored a British company over merchants. Absolute value is DISTANCE. How many units a number is away from zero.a.) 3b.)4C.) -3d.) -4 -1/10 divided by 1/6 The forth amendment protects citizens from________. Which process does not release energy?a photosynthesisb lactic acid fermentationc cell respirationd alcoholic fermentation What is the standard form of 3.457 Plz help!! I need help Bill can hit a bucket of 32 golf balls in 17 hours.How much could he hit in 23 hours Buffer stock is the level of stock Kenson and Shelly are each saving money. Kenson has $60 in savings and will save an additional $12 every week. Shelly has $85 in savings and will save an additional $7 every week.Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?A. 720 + 60w = 595 + 85wB. 7w + 595 = 12w + 720C. 60 + 7w = 85 + 12wD. 60 + 12w = 95 + 7W Can someone please help me? What kind of block can result from poor language skills?Poor language skills can lead to a (an) _______ block. The point (2,0) lies on the graph of the function y = 2x^2 - 8x + 6.A. TrueB. False You can increase the challenge of your workouts by using Newton's first law of motion. We are given the example of running on sand or biking on gravel. What are some other ways that you can use Newton's first law to create a more challenging workout? When you change the terrain, what is that force called? How do you write -4.50 as a mixed number You bought 12 red apples and 15 green apples to make a pie.What is the ratio of the number of red apples to the total number of apples? 4 over 9 Identify a passage in Chapter 8 that relies on figurative language for part of its meaning or effect. First, summarize the passage. Then analyze its style, using what you learned in this lesson, and describe the effect the passage might have on readers. How did the passage make you feel? What information were you able to gather about the characters featured in the passage? in roll of thunder hear my cry can someone explain to me how to do this Any number to the zero power is always: A. zero B. a positive C. a negative D. one Write a brief summary of what Confucianism is.Write a brief summary of what Daoism is.Write a brief summary of what legalism is.