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:
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.
A statement that two ratios are equal is called a
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
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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?
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
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?
Answer:
48 cm
Step-by-step explanation:
64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.
Simplify the following expression,
(5^2)^-1
Find the unit rate of miles per gallon for these vehicles
Sedan:
Minivan:
Truck:
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
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)
Answer:
B
Step-by-step explanation:
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
log 8-log 4/log 4-log 2
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:)expand and simple 3(x-3) - (x-4)
Answer:
Distribute the 3 to the parenthesis, and the -1 to the parenthesis.
This will result to:
3x-9-x+4
2x-5
please help me with this.
Answer:
I think ans-d is the answer
Step-by-step explanation:
plz mark me as brainlist
y > 3x + 1
2x + 3y 2 6
x^2/(x+2) + 2 (x+2)/x^2 = 3 solve
please help me with steps
this photo which I attached is steps of solution and the answer.
PLEASE HURRY, MARKING BRAINLIEST.
Solve for the value of x that makes lines a and b parallel.
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
Fun fact
During your lifetime, you will produce enough saliva to fill two swimming pools ♀️
credit to savannal2250 for the fact
Answer: wow
I'd want nothing more than to swim in a pool of saliva.
ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!
Answer:
c
Step-by-step explanation:
dont quote me
Answer:
c.
Step-by-step explanation:
• 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?
Answer:
15
Step-by-step explanation:
500-60=440
440/30=14.66666667
simplify 14.66666667= 15
An object’s volume is 0.12 kL. What is its volume in liters?
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
Show me how to do this one someone help
Answer:
4
Step-by-step explanation:
Answer:
The slope of the line is y = -3x+4.
put these numbers in descending order
75%
2/5
0.84
2/3
I need help with these I also would like it if you showed your work.
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
Quinn had $4.00. He spent 1/2 of his money on chips, 1/4 of his money on a drink, and 1/8 of his money on gum. How much money does Quinn have left?
If the answers good you get bonus points so you can ask more questions!
Answer:
.50$
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
Please help! I will give brainliest!
15 points!!!
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]
Help please it's a simple question I think but answer it please
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 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
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.
Which word signals a sequence text structure?
both
finally
similarly
since
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!
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
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.
2.5 as a simplified fraction
Answer:
I believe it would be 5/2
how do you convert fractions to decimals?
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
A pack of 8 pairs costs 9:80. What is the cost of one pair of socks?
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
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
Answer:
4x² - 1
Step-by-step explanation:
Add:
3x² + 2x - 1
x² - 3x + 1
= 4x² - x