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
Kramer earns $400 a week at the bookstore plus $3 for every magazine he sells. He uses the equation y = 3x + 400 to represent his earrings, where x represents magazine sales and y represents his weekly pay.
If he needs to earn $490 next week to pay for his summer field trip, how many magazines does he need to sell?
Answer:
30
Step-by-step explanation:
490= 400 + 3x
3x=90
x=30
Find the slope of the line graphed below.
Answer:
m=3/5 rise:3 run:5
(-5,2) and (1,-2) what’s the rise/run?
Answer:
m= -2/3
Step-by-step explanation:
Use the slope formula to find the slope m .
Stan worked 4 years less than Marco. This year Stan has worked 29 years. If b is how long Marco worked, the equation b – 4 = 29 represents this situation. How can you get the variable alone on one side of the equation?
Answer:
Add to Both sides
Step-by-step explanation:
can you explain this to me
Answer:
The answer is D. 20%
solve for X, each figure is a parallelogram
Step-by-step explanation:
[tex]x + 80 = 180 - (64 + 36) \\ x + 80 = 180 - 100 \\ x + 80 = 80 \\ \boxed{x = 0}[/tex]
0 is the right answer.2. What does ST TU mean? Why is
this true?
Answer:
STTU either means Specialized Tactical Training Unit or Surrounding Thyroid Tissue Uptake
Step-by-step explanation:
ST and TU are typically used to measure a line and/or angle in a triangle or shape. This is true because I've seen it multiple times.
May I have brainliest please? :)
please help and please explain
Answer:
D
Step-by-step explanation:
Quadrant II is the top right corner. Both of the values are positive there so the only correct answer is D.
Hope this helps!
What is the product of -4 and 2 3/5
Answer:
[tex]( - 4) \times 2 \frac{3}{5} =(- 4) \times \frac{13}{5} = \frac{ (- 52)}{5} \\ = \boxed{ - 10.4}[/tex]
-10.4 is the right answer.Answer:
-12/5
Step-by-step explanation:
2 and 3/5 can be changed to 13/5
multiply -4 by 3/5 to get -12/5
b) 7+2x/3 =5
helppppp
Answer:
4
Step-by-step explanation:
7+2x/3=5
7+2x. = 15
2x. =8
x. = 4
i hope it is helpful
Answer:
[tex] \frac{3x + 4}{2} = 9.5 \\ 3x + 4 = 19 \\ 3x = 15 \\ \boxed{x = 5}[/tex]
[tex] \frac{7 + 2x}{3} = 15 \\ 2x + 7 = 45 \\ 2x = 38 \\ \boxed{x = 19}[/tex]
Is the equation y = x3 - 2 a linear equation?
Answer:
Not linear
Find the degree of the equation to determine if linear.
these are the choices
10
8.7
8
8.5
Answer:
8.7
Step-by-step explanation:
Answer:
8.7
Step-by-step explanation:
the sides are 1 red line, which means congruent.
Since they are congruent, DF~=EG, which means that EG is 8.7
Hope this helps plz hit the crown :D
Which equation is equivalent to
f(x) = 16x4 – 81 = 0?
(4x2 - 9)(4x2 - 9) = 0
(4x2 + 9)(4x2 - 9) = 0
(4x - 9)(4x - 9) = 0
(4x + 9)(4x - 9) = 0
Answer:(4x2+9)(4x2-9)=0
Step-by-step explanation:(4x2+9)(4x2-9)=0
Your welcome
Identify the terms, like terms, coefficients,
and constants in 5n - 2n – 3 + n.
Answer:
5n - 2n - 3 + n
3n - 3 + n
3n + n = 3
4n = 3
N= 4 ➗ 3
N = 1.33
Step-by-step explanation:
ASAP NOW AND YOULL GET 20 and ILL ANSWER ONE OF URS
Answer:
its the second option.
Step-by-step explanation:
Present the trigonometric relations of the ratios via,
Pythagoras Theorem
Answer:
ypotenuse squared = adjacent squared + opposite squared
Step-by-step explanation:
sin θ =opposite/hypotenuse
tan θ = opp/adjacent
cos θ = adj/hyp
Pythagoras Theorem states that hypotenuse squared = adjacent squared + opposite squared
A random survey of the quality of city parks is taken. Sixty-five percent of the people surveyed were pleased with the condition of the parks. If 182 people were pleased, then how many were surveyed? (sorry if its not a lot of points I just made an account ^ ^)
could you help me with this
Answer: 40
Step-by-step explanation:
All you have to do is divide it. However, the actual answer is 40.5, but I'm sure that they round it.
Answer:
There would be 40
Step-by-step explanation:
Find the product.
-3( -12)
-3( -12) =
Please help. BRAINLIEST to correct answer!!
Answer:
True
Step-by-step explanation:
This is true because these tables represent inverses of each other. I think.
anyone know the answer to this
Answer:
s = 2
Step-by-step explanation:
6 x 2 = 12
12 - 4 = 8
Which expression is equivalent to that
Answer:
3. 9x
4. D. -5v + 4
Step-by-step explanation:
3. (-3+12)v
= 9v
4. Combine like terms:
(-2v - 3v) + (8 - 4)
= -5v + 4
Please answer!! It's in the exam I'm taking!! The first correct answer gets brainliest
Answer:
Answer B, AB is parallel to CD
Step-by-step explanation:
I'm 99% sure this is the answer.
PLEASE I NEED HELP!!!!!!!!!
Answer: Its 5 1/12 hope this helped!!!
Answer
Answer = 278/63 as in the pic
3x -(-2-4x)=
What does this equals??
Answer:
7x + 2
Step-by-step explanation:
Original Equation: 3x − ( −2 − 4x)
First, we distribute the negative sign:
= 3x + (−1) (−2−4x)
=3x + (−1)(−2) + (−1)(−4x)
= 3x + 2 + 4x
Using the communitive property of addition, we can write:
= 3x + 4x + 2 (Instead of 3x + 2 + 4x)
Combining like terms, we get:
= (3x + 4x) + 2
= 7x + 2
Please help!! Thank you so much!!
Answer:
AC, AB, BC
Step-by-step explanation:
3x-13+2x-20+x+15=180
6x-18=180
6x=198
x=33
<a 86
<b 46
<c48
1 Evaluate the expression. r3 - 2s if r = 5 and s = 4
Answer:
117
Step-by-step explanation:
Given the expression
r³ - 2s ← substitute given values into the expression
= 5³ - 2(4)
= 125 - 8
= 117
Jamie burned 480 calories in an exercise
class on Monday. She took a different class
the next day and burned as many
calories as she did on Monday. How many
calories did she burn on Tuesday?
Is this table a function?
Yes, because every y is matched with only one x
Yes, because every x is matched with only one y.
No, because the table does not include the point (0, 0)
No, because the table is not proportional.
Identify the x- and y-intercepts of the equation
4x - y = 8
[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]
Step-by-step explanation:A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,
[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]
Hence on comparing to standard form we get
x intercept as (2 , 0 )y intercept as (0,-8) Hence the x - intercept is ( 2 , 0 ) and the y - intercept is ( 0 , -8 ) .Answer:
x = (2,0)
y = (0,-8)
Step-by-step explanation:
Remember than an intercept always has the other number as 0.
Let's put this in standard form of a linear equation, or y = mx + b
4x - y = 8
-y = -4x + 8
y = 4x - 8
"b" is the y intercept. The y intercept is -8, or (0,-8)
Now, to find the x intercept, all we have to do is substitute 0 for y.
0 = 4x -8
8 = 4x
2 = x
The x intercept is 2, or (2,0)