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]
The sum of triple a number d and 5
(it’s translating expressions)
Answer:
3d+5
Step-by-step explanation:
Which table represents a function?
Answer:
The table that starts with (-3, -1)
Step-by-step explanation:
For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it
Answer: the first box
-3 -1
0 0
-2 -1
8 1
Step-by-step explanation: the x value can not repet it self but the y value can
What is y= 1/3x+2 equal to as a slope?
Answer:
The graph below models the value of a $20,000 car t years after it was purchased.
Value of Car
A graph titled Value of Car has years bbhvb ngc,jon the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
Each car value, y, is associated with exactly one time, t.
Each time, t, is associated with exactly one car value, y.
The rate at which the car decreases in value is not constant.
There is no time, t, at which the value of the car is 0.
Step-by-step explanation:
On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?
Answer:
5.4 feet
Step-by-step explanation:
Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.
At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was 8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.
Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was 8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.
From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].
[tex]d= 10- (d_1+d_2)[/tex]
[tex]=10-(2.2+2.4)[/tex]
=5.4 feet
Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:
[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]
[tex]x_{1} = 10.4\,ft[/tex]
Now we determine the absolute elevation of the deck at 7 P.M.:
[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]
[tex]x_{2} = 7.6\,ft[/tex]
Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:
[tex]x' = 7.6\,ft - 2.2\,ft[/tex]
[tex]x' = 5.4\,ft[/tex]
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
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please will give brain
What is the equation of this line?
Y= 2x - 3
y=-x-3y = -2x - 3
y = x - 3
Answer: y=2x-3
Step-by-step explanation:
It will cross the y axis at -3 and the x axis at 3/2
supercalifragilisticexpialidocious maggie pls find me
Answer:
i have found you
Step-by-step explanation:
△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!
I will give 30 points
Jane walks one mile from her house to her grandparents' house. Then she returns home, walking with her grandfather. Her return rate is 70% of her normal walking rate. Let r represent her normal walking rate. Write an expression of the amount of time Jane spends walking.
A. 1/r + 1/0.7r
B. 1/r + 1/70r
C. 1.7r
Answer:
1.7r
Step-by-step explanation:
PLEASE HELP ME WITH THIS LAST QUESTION PLEASE
Answer:
Is the answer -3x-y. If it is thank me plz.
Step-by-step explanation:
Determining the Value of the Slope from a Table
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.
What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.
Answer:
3 and 5
Step-by-step explanation:
Hope this helped :)
I did the same assignment and it was right!
Answer:
here is the answer
Step-by-step explanation:
According to.the order of operation, which of the following operations should be completed first in the following expression 2(5-3)^3+6^2
Answer:
Step-by-step explanation:
PEDMAS
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A - Addition
So, 2(5-3)^3+6^2
5 - 3 should be completed first as it is inside parenthesis
2(5-3)^3+6^2 = 2 *2^3 + 6^2
= 2 * 8 + 36 {exponents}
= 16 + 36 {Multiplication}
= 52
Write 12 2/3% as a fraction in simplest form
Answer:
1/4
What is 3/12 Simplified? - 1/4 is the simplified fraction for 3/12.
Step-by-step explanation:
PLEASE HELP ME BY ANSWERING AT LEAST 2 QUESTIONS ITS DUE IN 20 MINUTES
Answer:
Barry gets 300 first
Cheri gets 30 first
Barry gets 100 first
Representations:
Barry's profit = 5c + 20
Cheri's profit = 2c + 40
Step-by-step explanation:
well Barry's pprofit is
B = 5c + 20
and Cheri's profit is
C = 2c + 40
let's see who will get 300 first:
300 = 5c + 20
280 = 5c
56 = c
300 = 2c + 40
260 = 2c
130 = c
SO for 300 it is Barry who gets it first... same steps for others
4(2x-3)=52
Solve please sends fast
Answer:
[tex]\boxed {x = 8}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]4(2x - 3) = 52[/tex]
-Divide both sides by [tex]4[/tex]:
[tex]2x - 3 = \frac{54}{4}[/tex]
[tex]2x - 3 = 13[/tex]
-Add both sides by [tex]3[/tex]:
[tex]2x - 3 + 3 = 13 + 3[/tex]
[tex]2x = 16[/tex]
-Then, divide both sides by [tex]2[/tex]:
[tex]\frac{2x}{2} = \frac{16}{2}[/tex]
[tex]\boxed {x = 8}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]8[/tex].
50+ POINTS I NEED HELP
Answer:
21 yard line
Step-by-step explanation:
Ok we start out on the 20 yard line, we need to add the yards together.
We add the 6 to the 20:
20+6=26
Then we subtract the 8 yards from our new 26:
26-8=18
Then we add the 18 by 3:
18+3=21
Therefore,
The Answer is 21 Yard Line.
Hope I could help, If you need some more assistance ask me!
Answer:
2 yard
Step-by-step explanation:
hola soy dora
is y=5x proportional or non proprtional.
Answer:
Yes, y=5x is proportional. Hope this helps!
0.067318 to 2 significant figures
In two significant figures it is 0.067.
What is the measure of Z?
what's the question ???
Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?
Answer:
$160.50
Step-by-step explanation:
You multiply $150 by .15 to find out what 15% of it (10.50)
You add the values to get $160.50
10.5 is the sales tax on clothing that costs $150
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Sales tax is calculated as a percentage of the sales price.
sales tax is 7%
We need to find the the sales tax on clothing that costs $150
Convert 7% to the decimal value by dividing with 100.
7/100=0.07
Now multiply 0.07 with 150
0.07×150
Zero point zero seven times of one hundred and fifty.
10.5
Hence, 10.5 is the sales tax on clothing that costs $150
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Point Q' is the image of (-5,1) under a translation by 6 units to the right and 2 units down
Answer:
The object coordinate Q is (-11,3 )
Step-by-step explanation:
The translation is given as : ( 6,-2 )
The image coordinates for Q' is ( -5,1 )
So, to get the coordinates of object point Q (x,y), will be;
Q (x,y) + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )
Thus,
x+6 = -5
x= -5-6= -11
and
y+ -2 = 1
y-2=1
y=1+2 =3
Thus the object point coordinates Q is (-11,3 )
Solve the simultaneous equations.
You must show all your working.
2x+1/2y =13 ---its 1 devided by 2
3x +2y = 17
Answer:
I hope it solve the problem
Find the slope of line:6x+3y=21
Answer:
-2
Step-by-step explanation:
6x+3y=21
Bring the equation to y=mx+c form
3y=21-6x
y=-2x+7
When comparing, m=-2
Slope m=-2
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.
4. Suppose the the function f(x) = 5x + 7
represents the cost to play x rounds of
golf at the local mini-golf attraction. If you
have $20, how much more money do
you need to play 3 rounds of golf?
A. $22
C. $2
B. $15
D. $5
Answer:
c
Step-by-step explanation:
c
The legend on a map states that 1 cm is 50 km. If you measure 7 cm on the map, how many kilometers would the actual distance be?
Answer:
350 kilometers
Step-by-step explanation:
The legend states that 1 cm = 50 km
So if you do 7cm times 50
7 × 50 = 350
Help!! !!!!! What’s the answer?
Answer:
1296m^2
Step-by-step explanation:
12m = 1cm per square
3 squares • 3 squares = 36 • 36 = 1296
Hope this helps! :)
Can a line be measured?
Answer:
yeah .It can be measured
Convert 8 miles into kilometers. Round your answer to the nearest tenth.
8 miles is equal to 12.9 kilometers .
Given,
Convert 8 miles into kilometers .
Now,
From the metric system of unit conversion table we see that;
1 kilometer = 1000 meters (m)
1 meter = 100 centimeters (cm)
1 centimeter = 10 millimeters (mm)
Here we need the conversion factor that includes miles,
So according to the table 1 mile is equal to 1.609 kilometers .
Then,
8 miles will be equal to:
8*1.609
= 12.9 kilometers .
Hence the value of 8 miles in km is equal to 12.9 kilometers .
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help solve 90 please
Answer:
c=263
Step-by-step explanation: