Answer:
the picture is blurry is it only like that for me?
Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP
Answer:
(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]
(2) [tex]3x + 2y\leq[/tex] 24
(3) [tex]x+4y\leq 28[/tex]
Step-by-step explanation:
Let x and y be the numbers of rockers and swivels made by Ethan.
(1) Since the number of chairs can't be negative. So,
x\geq0 and y\geq 0 are the two constraints.
(2) He can work a maximum of 24 hours.
The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.
So, the time required to make x rocker chair = 3x hr
and the time required to make y swivel chair = 2y hr.
The total time required is 3x + 2y hr which can't be more than the available time, 24 hr.
So, the required constraint is
[tex]3x + 2y\leq 24[/tex]
(3) Similarly,
As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.
So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.
So, the required constraint is
[tex]2x + 8y\leq 56[/tex]
[tex]\Rightarrow x+4y\leq 28.[/tex]
i just need some help on a few math questions. i'm very bad at math sorry :(
Answer:
Q1) D
Q2) A
Q3) A
Q4) I'm sorry I can't figure this one out
Q5)2.7
Step-by-step explanation:
What is the range of the function in this table x 1 2 3 4 Y 2 4 3 2
Answer:
(2, 4, 3)
Step-by-step explanation:
Range = Y
PLZ HELP ME
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011.
• Write an expression for the price of gold per ounce in 2016.
• Explain how you found the expression.
Answer:
[tex]2x + 1200[/tex]
Step-by-step explanation:
[tex].5x + 300 \\ 3(.5x + 300) = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\ \frac{2}{3} (3x + 1800) = 2x + 1200[/tex]
Each new line represents the change stated in the question.
Name the subset(s) of real numbers to which the number belongs.
−1.57
A. integer only
B. rational only
C. irrational and rational
D. rational and integer
What is the constant RATIO (how do you you multiply ) of the exponential curve that passes through the points (0, 3) and (5, 96) ?
Answer:
The answer is 1.788
Step-by-step explanation:
1.
p: you pass the class
q: you go to the next grade
p -> ~q:_______________________________
~p->~q:_______________________________
Answer:
P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.
Step-by-step explanation:
In order to got to the next grade, you need to pass the class.
or
If you pass the class, you go to the next grade.
help me plzzzzzzzzzzz
Enter the correct answer in the box by replacing the values of m and b.
Answer:
f(x) = -2x + 5 Plato
Step-by-step explanation:
if 3n-4=8 then what is the value of 5n-3
Answer:
17
Step-by-step explanation:
Given
3n - 4 = 8 ( add 4 to both sides )
3n = 12 ( divide both sides by 3 )
n = 4
Thus
5n - 3 = 5(4) - 3 = 20 - 3 = 17
△PQR is rotated 180° about the origin. What is the coordinate for Q' ?
(3, 2)
(2, -3)
(-3, 2)
(-2, 3)
Part: 2
△PQR is reflected across the y-axis. What is the coordinate for R' ?
(-3, -4)
(-4, 3)
(4, -3)
(3, 4)
Answer:
Part 1:
Q’ = (2, -3)
Part 2:
R’ = (-3, -4)
Hope this helps!
Hey my friend needs help with finding the challenges for sum reason does it not pop out for sum people as well
Answer:
yah for some reason i cant find it
Answer:
sssssssssssssss
Step-by-step explanation:
Jay bought a painting on sale for 45% off the original price, for $27. What was the price of the painting before the sale?
Answer:
0.55x = $27
Step-by-step explanation:
Let the price of the painting = x
x - 45% of x = $27
x - 0.45x = $27
0.55x = $27
Divide both sides by 0.55
0.55x/0.55 = $27/0.55
x = $49.09
Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+
X=square root of y + 1 / y_ 2
Make y the subject.
Can you please solve it..
Answer:
I think is c
Step-by-step explanation:
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458
Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
find the cube of 2.9
[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]
Answer:The cube of [tex]2.9[/tex] is [tex]24.389[/tex].
what is the answer to 6y * 88 = 88 * 6y
Answer:
0 or No solutions
Step-by-step explanation:
hope this helps!
do you guys know this by any chance
Answer:
[tex]10^{17}[/tex]
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
A 20 gallon tank is full. How many gallons are in the tank?
Answer:
20???
Step-by-step explanation:
[tex]\frac{x^{2} }{3x^{2}+8x-3 } divided \frac{x-3}{x+2}[/tex]
Answer:
ddsdvffgdf gddccd fddf
HELPP!!!
Question 8 of 19
What is an equation that can be used to solve the proportion?
8/15 = x/6
A. 90x = 8
B. 15x = 48
C. 48x = 15
O D. 8x = 90
8/15 = x/6
Using cross multiplication let us find the value of x .
= 15 × x = 6 × 8
= 15x = 48= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )
= x = 3.2
Therefore , the equation that can be used to solve the proportion :-
B. 15x = 48Answer:
its B
Step-by-step explanation:
How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,
The lines KL and MN perpendicular to each other.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
If a line passes through two points, then the slope of the line is
m = y2-y1/x2-x1
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
m = 0
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
m = 1/0
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other.
Therefore the lines KL and MN perpendicular to each other.
To learn more on slope click:
brainly.com/question/3605446
#SPJ7
What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?
Answer:
y=2x-15
Step-by-step explanation:
In parallel lines the gradient is always the same. then we sub the coordinates in to find c.
so
1=2(8)+c
c equals to -15 t
then
y=2x-15
A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.
Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]
Which could be the first step in solving this equation?
5x + 4x - 72
A)
Combine like terms.
B)
Add 9x to both sides of the equation
0)
Subtract 72 from both sides of the equation
D)
Subtract 5x from both sides of the equation
if the sides of a rectangle are 12 and 15, then the diagonal is
Answer:3x41 squared
Step-by-step explanation:
Please help me with this. This is my last one and when you are answering PLEASE SHOW STEPS FOR BRAINSLT. THIS IS DUE TOMORROW
X= -2
Explanation: the photos are in order :)
Answer:
x = -2
Step-by-step explanation:
3/5 +3/10x = 4/5 + 2/5x
Step 1. Change every fraction into the same denominator
6/10 + 3/10 x = 8/10 + 4/10x
Step 2. Subtract 3/10x
6/10 = 8/10 + 1/10x
Step 3. Subtract 8/10
-2/10 = 1/10x
x = -2
Early in November, it was 37 O F on a particular day. The temperature has dropped 2 O F every day since then. It is now -11 O F. How many days have passed since it was 37 O F outside?
I need help with this please
lx+ 11 l< 17
Answer:
x<6 should be the correct answer