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?
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.
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Answer:13.D 14.C
Step-by-step explanation:
PLEASE ANSWER QUICK leggings are 54.95 they are 30% off how much are they?
Answer:
$38.47
Step-by-step explanation:
i did the math on it
A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, after the path was built, its area became 4200 square yards?
Answer:
98 yards
Step-by-step explanation:
The new width is 40 yds + 2 yds = 42 yds.
Area = L × W
4200 square yds = L × 42 yds
L = 4200 yds ÷ 42 yds = 100 yds
The new length is 100 yds.
The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.
The length of the park was 98 yds, before the path was built.
Answer:
98 yards
Step-by-step explanation:
First we will list our values
new w: 42
old w: 40
old l: x
new l: x+2
we are adding 2 to the new values as there is 1 yard on either side
now we will find the new area:
42 * (x+2) =4200
42x+84=4200
42x=4116
x=98
A salesperson earns 25% of her total sales in addition to a base pay. The graph below represents her total pay for a given day.
How much does she earn if she does not make any sales on a given day?
A. $0
B. $25
C. $75
D. $175
She earns if she does not make any sales on a given day $0.
We have given that,
A salesperson earns 25% of her total sales in addition to base pay. The graph below represents her total pay for a given day.
We have to determine what she earns if she does not make any sales on a given day.
What is the linear graph?The line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges of G.
From the observation of the graph, we can say that she earns if she does not make any sales on a given day none.
Therefore option A is correct.
she earns if she does not make any sales on a given day $0.
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If f(x) = 10x + 3 what is the value of x when f(x) =19
Answer:
x = 1/ 10 y + −3 /10
Step-by-step explanation:
Let's solve for x.
y = 10x + 3
Step 1: Flip the equation.
10x + 3 = y
Step 2: Add -3 to both sides.
10x + 3 + −3 = y + −3
10x = y −3
Step 3: Divide both sides by 10.
10/10x = y −3/ 10
x = 1 /10 y + −3 /10
Therefore the answer is
x = 1/ 10 y + −3 /10
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The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 1.7 + 1.48t. Statler wanted to predict the weight of a kitten at 10 weeks. What is this an example of, and is this method a best practice for prediction? Explain your reasoning.
Answer:
Step-by-step explanation:
The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is
[tex]\hat y =1.7 +1.48t[/tex]
Weight of the kitten after 10 weeks
[tex]\hat y =1.7 +1.48\times 10[/tex]
[tex]\hat y =16.5[/tex] pounds
This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.
Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.
Hence, the weight of the kitten after 10 weeks is 16.5 pounds.
x²+3x−10=0x
lesser x=
greater x=
please help me
i will give brainleist
Answer: x=-5 x=2
Step-by-step explanation:
x^2+5x-2x-10=0 factor out x from the expression
Xx(x+5)-2x-10=0 factor out x+5 from the expression
(x+5)x(x-2)=0 when the product of factors equals 0, at least one factor is 0
x+5=0 solve for the equation x
x-2=0
x=-5
x=2
What is the value of b in this diagram?
A. 12
B. 10.2
C. 9
D. 8
Answer:
It is NOT c
Step-by-step explanation:
I clicked c and it was wrong lol.
Answer:
its D
Hope this helps ⊂◉‿◉つ
A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, "$685 is almost $700. $700 × 30 days is $21,000. I think it is going to be a close call!" What do you think?
Answer: James is right
Step-by-step explanation:
Since they average $685 a day for the month. This means for the month, they'll make:
= $685 × 30
= $20,550
Approximating $20,550 will give $21000 and since James used rounding and estimation to say, "$685 is almost $700 and $700 × 30 days is $21,000. James is quite correct.
Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?
The cost of each can of soda is $
i need this quik and now
$.40
Step-by-step explanation:
if you want the full one it's .415
11 1 point Jannet used 155 beads to create 5 necklaces. How many beads did she use to create 9 necklaces?
Answer:
155 bead to create 5 necklace therefore for 9 bead we should divide 155 by 5 and multiply the answer by 9
=155/5*9
=31*9
=279
Which shows how to best estimate the product of 0.4 x 0.93?
0 x 1 = 0
0.5 x 0.5 = 0.25
0.5 x 1 = 0.5
1 x 1 = 1
Answer:
b
Step-by-step explanation:
Answer:
C. 0.5 times 1 = 0.5
1. What is 10% of 75?
Answer:
7.5
Step-by-step explanation:
i hope this helps!!
A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for$15 each and balcony tickets for$12 each. They want to make at least $3,000 in ticket sales.
Write an inequality whose solutions are the number of floor and balcony tickets sold if they make at least $3,000 in ticket sales.
Answer:
15x + 12y ≥ 3000
Step-by-step explanation:
Let
Number of floor seats tickets sold = x
Number of balcony seats tickets sold = y
Cost of floor tickets = $15
Cost of balcony tickets = $12
They want to make at least $3,000 in ticket sales.
At least in inequality means ≥
The inequality that represent the situation is
15x + 12y ≥ 3000
Answer:
:)
Step-by-step explanation:
15x + 12y ≥ 3000
Number of floor seats tickets sold = x
Number of balcony seats tickets sold = y
Cost of floor tickets = $15
Cost of balcony tickets = $12
They want to make at least $3,000 in ticket sales.
At least in inequality means ≥
The inequality that represent the situation is 15x + 12y ≥ 3000
As an estimation we are told 5 miles is 8 km.
Convert 44 km to miles.
Answer:
44 km converte to miles is 27.3403.
Answer:
27,5 miles
Step-by-step explanation:
sooo, you need to see how many Miles Is 1km..
5:8= 0,625
So when we know 0,625 mile = 1km then
44x0,625 = 27,5
And the result is 27,5 miles
Write the equation of a line which passes through points (4,2) and (0, -2).
Answer:
y=x-2
Step-by-step explanation:
if you were to plot it onto a graph, the y intercept would be -2
A certain hybrid car can travel 1 4/11 times as far as a similar nonhybrid car can, each one gallon of gasoline. If the nonhybrid car can travel 33 miles per gallon of gasoline, how far can the hybrid travel on 4/5 gallon of gasoline?
Answer:
On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.
Step-by-step explanation:
Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline
then, hybrid will travel " 1 4/11* x" distance in 1 gallon of gasoline
Given that, non hybrid car travel, x = 33 miles per gallon
Then, hybrid car travel, 1 4/11*x = 1 4/11* 33 = 45 miles per gallon
On 1 gallon of gasoline hybrid car travel= 45 miles
On 4/5 gallon of gasoline hybrid car will travel= 4/5*45= 36 miles
On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.
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Solve for the value of x that makes lines r and s parallel.
Answer:
Step-by-step explanation:
y + 140 = 180 {linear pair}
y = 180 - 140
y = 40
If any pair of exterior angles are congruent , then the lines r and s will be parallel
5x - 5 = 40
5x = 40 + 5
5x = 45
x = 45/5
x = 9
The value of x = 9 will make lines r and s parallel.
can you solve this? :-5x =25
Answer:
5
Step-by-step explanation:
-5x =25x
-5 -5
you divide both sides by -5
and you get x=5
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Evaluate the expression for x=5, y=-3 and z=7 *
7 – 3y – 3z
Answer:
-5
Step-by-step explanation:
i tried my best but this is the result
What is an equation of the line that passes through the points (3, 8) and (1,0)?
Answer:
y = 4x - 4
Step-by-step explanation:
first, find the slope:
y2 - y1/ x2 -x1
8 - 0/ 3 - 1 = 4
no plug in your slope and one of the points to find the b:
y = mx+b
0 = 4 (1) + b
b= -4
so
y = 4x - 4
Express x in terms of y:
3(x + 2y) = 2x = 5y
Answer:
-6y=x
Step-by-step explanation:
3x+6y=2x=5y
Subtract 5y from all
3x+y=2x-5y
subtract y and 2x from both sides
x=-6y
A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at $1.81 per pound. He estimates that this will make 28 meals. If he charges $20 per meal, how much profit will he make for each meal?
Answer:
Profit = $18.8 per meal
Step-by-step explanation:
Chef ordered beef = 4 pounds
Cost of beef = $3.25 per pound
Total cost of beef = 4 × 3.25 = $13
Amount of potatoes ordered = 6 pounds
Cost of potatoes = $1.96 per pound
Total cost of potatoes = 6 × 1.96
= $11.76
Amount of carrots ordered = 5 pounds
Cost of carrots = $1.81 per pound
Total cost of carrots = 5 × 1.81 = $9.05
Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05
= $33.81
Number of meals prepared with material purchased = 28
Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075
Selling price of one meal = $20
Profit per meal = Selling price - Cost price
= 20 - 1.2075
= 18.7925
≈ $18.8
Therefore, he will make $18.8 for each meal.
Determine the slope of the line that passes through the points M(-3, 5) and N(1, 8). Represent the slope in decimal form.
Answer:
The slope of the line that passes through the points M(-3, 5) and N(1, 8) in decimal form is 0.75
Step-by-step explanation:
The given points are M(-3, 5) and N(1, 8)
The formula for finding the slope, m, given the coordinates of two points on the line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where, (x₁, y₁) = (-3, 5), and (x₂, y₂) = (1, 8), we have;
[tex]Slope, \, m =\dfrac{8-5}{1-(-3)} = \dfrac{3}{4} = 0.75[/tex]
The slope, m = 0.75
The slope of the line that passes through the points M(-3, 5) and N(1, 8) in decimal form = 0.75.
h(2)=-2²+6(2) the question has to be 20 characters long so I'm just adding this
find the value of x - PLEASE HELP
I need to show my work -
Thank you!!
Answer:
360=297+(x-36)+25
360=297+25-36+x
360=286+x
360-286=x
74=x
Answer:
x = 74 degree
Step-by-step explanation:
All those angles must add up to 360 degrees:
360 degrees = (297 + x - 36 + 25) deg, or
360 = 297 - 36 + 25 + x, or
x = 74 degrees
Does this represent a function?
Answer:
No.
Step-by-step explanation:
A graph must pass the Vertical Line Test in order to be a function. Since this graph doesn't pass the test, it is not a function.
However, this graph is a conic, specifically a hyperbola.
Free brainlist and thanks!!!
Answer:
hi
Step-by-step explanation:
Hi there! Thank you for this!
what is the simplest form of 8y-4x=-56 ?
About the only thing you can do with it is divide both sides by 4.
Then you have
2y - x = -14