The system of inequalities can be obtained from the given information
on the allowable weights and number of pots.
The correct responses:
The system of inequalities that represent the constraint on the number
of pots that can be included in one shipment are;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Methods used to find the system of inequalitiesThe inequality that represents the number total number of clay, T, in each shipment is 2 ≤ T ≤ 8
The inequality that represents weight of each shipment is w < 100 lbs
The weight of each shipment container = 20 lbs
The weight of the packing material = 1 lb
Therefore;
The maximum weight of the flower pots = 100 lbs - 21 lbs = 79 lbsThe weight of each clay flower pot = 15 lbs
The weight of each plastic flower pot = 7.5 lbs
Let "x" represent the number of clay flower pot included in one shipment
and let "y" represent the number of plastic flower pot included in one
shipment, we have;
The system of inequalities that represent the constraint on the number of pots that can be included in one shipment are as follows;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Learn more about inequalities here:
https://brainly.com/question/10868639
We will find the system of inequalities:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
How to write a system of inequalities?
First, we need to define the variables that we will be using, these are:
C = number of clay pots.P = number of plastic pots.From the first restriction, we have that:
2 ≤ P + C ≤ 8
The other restriction says that the weight must be less than 100lbs:
W < 100lbs
Where the weight is:
W = C*15 lb + P*7.5lb + 20lb + 1lb
Where 20lb is the weight of the container and 1lb is the weight of the packing material, then we have:
C*15 lb + P*7.5lb + 20lb + 1lb < 100lb
We can subtract 21 lb in both sides to get:
C*15 lb + P*7.5lb < 100 lb - 21 lb
C*15 lb + P*7.5lb < 79 lb
So we got our two inequalities, then the system is:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
If you want to learn more about systems of inequalities, you can read:
https://brainly.com/question/9774970
Class A has 20 pupils and class B has 19 pupils.
Both classes site the same maths test
The mean score for class A is 33.
The mean score for class B is 62
What is the mean score (rounded to 2 DP) in the maths test across
both classes?
Answer:
47.5
Step-by-step explanation:
33+62=95
95/2=47.5
The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.
A right triangle is shown. The hypotenuse has a length of 7 StartRoot 2 EndRoot and the lengths of the other 2 sides are congruent.
What is the length of one leg of the triangle?
7 units
7 StartRoot 2 EndRoot units
14 units
14 StartRoot 2 EndRoot units
Answer:
7 units
Step-by-step explanation:
Given is a 45°-45°-90° triangle.
Measure of Hypotenuse = 7 StartRoot 2 EndRoot units.
In a 45°-45°-90° triangle, measures of perpendicular legs is one upon square root 2 times of the measure of Hypotenuse.
[tex] \therefore \: measure \: of \: one \: leg \\ \\ = \frac{1}{ \sqrt{2} } \times 7 \sqrt{2} \\ \\ = 7 \: units[/tex]
Answer:
A. 7 units 2021 edg
Step-by-step explanation:
Of the 90 gallons of water the average uses each day, 30% is used outdoors mason wants to know how much water is used outdoors?
Answer:
Step-by-step explanation:
J
Answer:
90*0.3= 27 gallons of water are used outdoors each day
PLSSSS HELPPPPPP!!!!!
Answer: Gordon Types 74 words per minute
If you can help I’m still learning
Answer:
It’s +16
Step-by-step explanation:
If the sales tax rate is 8%, how much tax would Luis pay for a pair of pants for $18 and two shirts for $9.99 each?
Answer:
$3.04 (rounded to nearest cent)
Step-by-step explanation:
Total cost without tax = $18 + $9.99 × 2
= $37.98
Tax = [tex]\frac{8}{100}[/tex] × $37.98
= $3.04 (rounded to nearest cent)
HELP ILY A tree is 4 1/2 feet tall. It is expected to grow by 1 3/4
feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years
Answer:
It will take 21 years.
Step-by-step explanation:
First, find what x would be for it to equal 40 feet. This can be done with the equation 4.5 + 1.75x = 40.
4.5 + 1.75x = 40
Subtract 4.5 from both sides. This cancels out the +4.5.
1.75x = 40 - 4.5
Subtract 4.5 from 40 to get 35.5.
1.75x = 35.5
Divide both sides by 1.75. This cancels out the *1.75.
x = 35.5/1.75
Expand 35.5/1.75 by multiply both the numerator and denominator by 100.
x = 3550/175
Reduce 3550/175 by canceling out 25.
x = 142/7 = 20 2/7
Go up by one from 20 to get the answer of 21 years.
Arlinda is participating in her school reading
challenge. She reads 40 books in 6 months. If 26
of the books are fiction, then what percent of the
books that she read are non-fiction?
Answer:
14
Step-by-step explanation:
40-26=14 so therefore 14% of the books are non-fiction
HELP Help Please
The volume V of a balloon varies directly with the cube of its radius R. If the volume is 113 cubic inches when the radius is 3 inches, find the formula for the volume.
Answer:
l × b is the correct answer for this question
Please help it It is in photo
Answer:
its the second i hope that helped
help please i’ll give brainliest.
ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
does the graph represent a function?
Please help me I'm really confused on how you figure these out
Answer:
i think it is not related
Step-by-step explanation:
hope this helps <3
Calculate these, and write each awnser in Standard Form.
Step-by-step explanation:
Do you need answers to all of them of some of them?
1. (4.5×10¹²)÷(9×10^10)
(45×10^-1×10¹²)÷(9×10^10)
(45×10¹¹)÷(9×10^10)
(45÷9)×(10¹¹÷10^10)
5×10
if you need help with the others kindly let me know
What is true about 3×9, guys can you help I a little confused
Answer:
27
Step-by-step explanation
have a great day
Answer:
3*9=27
Step-by-step explanation:
The thing that is true about 3*9 is that it is also equal to 9*3.
Hope this helped!! :)
9 ,6 ,3, 0, -3, -6
b) Work out, in terms of n, the nth term of the sequence.
i WILL give brainiest
Answer:
(9t/4)
Step-by-step explanation:
HERE'S UR ANS...FRND...
T×9
= ————
4
9T
= ———
4
I DONT WANT BRAINLIEST....I ONLY WANTED UR SATISFACTION....
HOPE IT HELPS...
Estimate the difference
2.8/9 - 2. 7/1
A. 2
B. 1
C. 0
Answer:
C. 0
because 2.8/9 <1
and 2.7>1
so 2.8/9 -2.7 <_ 0
If the graph of f(x)= 3^x is reflected over the x-axis, what is the equation of the new graph?
Answer:
g(x) = - 3^xStep-by-step explanation:
Reflection over x-axis results in:
f(x) → - f(x) translationTherefore the new function is:
g(x) = - 3^xWhich set of numbers could represent the lengths of the sides of a right triangle?
O 16, 32, 36
O 8, 12, 16
O 3,4, 5
O 9, 10,
Answer:
3,4,5
Step-by-step explanation:
Here, we want to select the set that could work and the sides of a right angled triangle
the correct answer is 3,4,5
These set are called a Pythagorean triple
This is because adding the square of the two smaller number will give the square of the largest number
What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set
Chad is renting a moving van for one day. It costs $20 to rent the van for the day. It also costs $0.60 for each mile the van is driven. Chad uses this model to find the total cost for driving m miles: initial cost + cost for one mile × number of miles Which expression can be used to find the total cost of renting the van?
Answer:
20 + 0.6x
Step-by-step explanation:
Answer:
B (20 + 0.60m)
Step-by-step explanation:
please help stuck on this question
Answer:
C) 30
Step-by-step explanation:
As, angle 8 = 150°
So angle 6 = 30°
As, they are supplementry to each other
Now, Angle 5 + Angle 6 = 180°
So,as angle
So, Angle 5
Angle 5 + 30° = 180°
Angle 5 = 180° - 30°
Angle 5 = 150°
So therefore, Angle 5 = 150°
a company can buy packages of 500 sheets of paper for $4. At this rate, how much paper can bet bought for $2000
Answer:
2000/4×500=250000sheets
Step-by-step explanation:
Group of answer choices
24
25.7
28.1
29.8
Answer:
b i think
Step-by-step explanation:
Isabel finished her history assignment in 1/5 hours. Then she completed her math assignment in 1/2 hours. What was the total amount of time Isabel spent doing these two assignments?
Write your answer as a fraction in simplest form.
Answer:70/100 or 7/10
Step-by-step explanation:
one hour is 60 mins
1/5 of an hour is 12 mins
1/2 of an hour is 30
30 + 12 = 42
42/60 simplified is 7/10
Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?
Answer:
The amount Raphael spend on DVD including tax is $16.2
Step-by-step explanation:
Tax on DVD = 8%
Amount of tax = $1.20
We need to find the amount Raphael spend on DVD including tax.
Let the cost of DVD = x
We can write the equation: [tex]8\%\:of\:x=1.20[/tex]
Because the tax amount is 8% of actual cost and is equal to 1.20
Now solving to find x:
[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]
So, the cost of DVD = $15
Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax
The amount Raphael spend on DVD including tax = 15 + 1.2
= 16.2
So, The amount Raphael spend on DVD including tax is $16.2
Please answer!! Screenshot attached
Answer:
there is a website where you can make triangles and that would get it 4 u
Step-by-step explanation:
–7 y = –28
Answer:
y = ?
Answer the ? Mark pls
Answer:
y=4
Step-by-step explanation:
-28 divided by -7 equals to 4
Hope this helps!!
Answer: y = 4
Step-by-step explanation:
-7y/-7 = -28/-7 So, Both the -7's cancel out and your left with y= you divide -28 by -7. When you divide both of the numbers you get a positive 4.
Solve number 1 that is in the image
Answer:
120, 15
Step-by-step explanation:
Answer:
15,120
Step-by-step explanation:
x-axis-15(read vertically)
y-axis-120(read horizontally)
1. An initial population of 10 cats triples every year. How many cats will there be in 5 years? Make a table and
graph your results.
Answer:
150
Step-by-step explanation:
file is graph
