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]
9 is 10 times the value of the 9 in 329,513
2 is 110 the value of the 2 in 7,562
6 is 110 the value of the 6 in 4.68
Answer:
498,173.26.
Step-by-step explanation:
The place value of 9 in the number 3, 29,513 = 9000
In the required number,
Place value of 9 is 10 times of the value of 9 in 329, 513 = 9000 * 10 = 90,000
The value of 2 is one-tenth of 2 in 7562 = 2/10 = 0.2
The value of 6 is one-tenth value of 6 in 4.68 = 0.60/10 = 0.06
Thus, the required number would be 498,173.26 as the other numbers do not justify the above conditions of having 9 at ten thousand place, 2 at tenth, and 6 in hundredth place.
When doing a throw in how many of your feet should be touching the ground.
What is the slope of the graph below?
Answer:m=-1/2
Step-by-step explanation:
Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and a = 7.)
Answer:
23
Step-by-step explanation:
7 - 5p + 3a
7 - 5(1) + 3(7)
7 - 5 + 21
2 + 21
23
( worth 74 points and brainliest pls help)
Answer:
40 CMStep-by-step explanation:
If you check the measurement
of the other line, it will NOT match the one
on the side. It is a few centimeters bigger than the bottom.
hope this helps! <3
Answer:
[tex]\Large \boxed{\sf 40}[/tex]
Step-by-step explanation:
The triangle is a right-angled triangle
Use Pythagorean Theorem formula to solve for hypotenuse
[tex]\displaystyle c=\sqrt{a^2+b^2}[/tex]
Substitute in the values
[tex]\displaystyle c=\sqrt{24^2+32^2}=40[/tex]
I need help pls help me!!
I think the answer is D
Simply the expression below .
8+ ( 15 - 3 ) + 4
help please .
Answer:
24
Step-by-step explanation:
8+ ( 15 - 3 ) + 4
8+12+4
20+4
24
What’s the value of X ?
Answer:
x=25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
(2x+2)+(5x+3)=180
Helllpppp me please!
Answer:
b. 0.225
Step-by-step explanation:
tan = opposite / adjacent
opposite of A is 9
adjacent of A is 40
9/40=0.225
What is the constant in the expression? 4x - 1*
O 4
O -4
O 1
O -1
Answer:
-1
Step-by-step explanation:
-1 is the constant in the expression 4x - 1
Answer:
-1
Step-by-step explanation:
as it got no variables to it.
20 POINTS!! HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
0.22222222
Step-by-step explanation:
Hope this helps!!!
Answer:
0.22222222
Step-by-step explanation:
you have to divide 2 by 9.
Which one?
A. B. C. or D?
Answer: c
Step-by-step explanation: distribute -7p by multiplying it by 8p first, which gives you -56p squared. Then multiply the -7p by -1 which gives you 7p as the two negatives will cancel out.
Scott High School is holding a fundraiser and plans to use 1/2 of the money collected to build a new library. Of the money directed towards building the new library, 5/8 will go towards purchasing computers. What fraction of the money raised will go towards purchasing computers for the library?
Answer:
[tex]Computer = \frac{5}{16}[/tex]
Step-by-step explanation:
Given
[tex]Library = \frac{1}{2}[/tex]
[tex]Computers = \frac{5}{8}[/tex] of library.
Required
Determine the fraction going towards computer purchase.
We have:
[tex]Computers = \frac{5}{8}[/tex] of library.
This can be rewritten as:
[tex]Computers = \frac{5}{8}[/tex] * library.
Substitute [tex]Library = \frac{1}{2}[/tex]
So, we have:
[tex]Computer = \frac{5}{8} * \frac{1}{2}[/tex]
[tex]Computer = \frac{5}{16}[/tex]
Hence:
The fraction is [tex]\frac{5}{16}[/tex]
9) Draw a graph of the linear equation y= -2/-5x +3
HELPP PLZ (12 points btw)
Which of the following is most likely the next step in the series?
While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?
Answer:
157.6m
Step-by-step explanation:
Given
Horizontal distance = 181m
Length of the rope =240m
To know how high above Kayla was, we will use the Pythagoras theorem.
According to the theorem;
d² = x²+y²
x is the horizontal distance
y is the vertical distance
d is the length of the rope
Substitute
240² = 181²+y²
y² = 240²-181²
y² = 24839
y = √24839
y = 157.6m
Hence the boat is 157.6m above Kayla
1.What is the slope of the function shown on the graph?
A line is graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 10 to 10 in increments of 1. The line passes through (0, 7) and (4, 2).
A−56
B−54
C−65
D−45
2.A quarry runs a delivery service for crushed stone. The cost to deliver the crushed stone is a flat fee for the delivery and the cost of the crushed stone in terms of weight. The graph of the total cost, C, in dollars as a function of the weight, x, in pounds of the crushed stone is shown. What is the meaning of the y-intercept?
A line is graphed on a first quadrant coordinate plane. The horizontal x-axis is labeled Weight in pounds and goes from 0 to 6000 in increments of 200, and the vertical C of x-axis goes from 0 to 500 in increments of 20. The line passes approximately through (0, 120) and (400, 134).
A.The cost of the delivery is $120.
B.The cost of stone dust is $0.035 per pound.
C.The cost of the delivery is $70.
D.The cost of stone dust is $70 per ton.
3.What is the x-intercept of the function f(x) graphed on the coordinate plane?
A line is graphed on a four quadrant coordinate plane. The horizontal axis goes from negative 7 to 7 in increments of 1, and the vertical axis goes from negative 7 to 7 in increments of 1. From left to right, a straight line passes through (0, 1) and (2, 0).
A−2
B−1
C2
D1
Answer:
1) B - 5/4
2) A. The cost of delivery is $120
3) C 2
Step-by-step explanation:
1) The given parameters are;
The demarcations on the x-axis = -10 to 10
The demarcations on the y-axis = -10 to 10
The coordinates of two points on the graph are (0. 7), and (4, 2)
The slope, m, of a graph is given by the following equation;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;
[tex]Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}[/tex]
The slope, m = -5/4
Taking B. as = -5/4
2. The given information are;
The nature of the cost of delivery of crushed stone = Cost of delivery, A
The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A
Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;
C = m × x + A
At the y-intercept, x = 0, we have;
C[tex]_{(y-intercept)}[/tex] = m × 0 + A
C[tex]_{(y-intercept)}[/tex] = A = Cost of delivery
The points on the line are;
(0, 120) and (400, 134), therefore, the slope, m, is given as follows;
[tex]Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035[/tex]
We have;
(C - 134) = 0.035×(x - 400)
C = 0.035·x - 14 + 134 = 0.035·x + 120
C = 0.035·x + 120
At the y-intercept, x = 0, we have;
C[tex]_{(y-intercept)}[/tex] = 0.035 × 0 + 120
C[tex]_{(y-intercept)}[/tex] = 120 = Cost of delivery
Therefore, the cost at the y-intercept = The cost of delivery = $120
3. The coordinates of points on the graph are;
(0, 1) and (2, 0)
The slope, m = (0 - 1)/(2 - 0) = -1/2
The equation of the line in point slope form is given as follows;
(y - 0) = -1/2 × (x - 2)
y = -x/2 + 1
The x-intercept occurs at the point y = 0, which is presented as follows;
0 = -x/2 + 1
-x/2 = -1
x = -1 × (-2) = 2
x = 2
Therefore, the y-intercept occurs at x = 2.
The correct option is
C 2
15!!! POINTS!!! PLS ANSWER THIS IM HAVING WAY TOO MUCH TROUBLE WITH IT. I’m in 10th grade and this is compound interest. PLS HELP ME IXLS SO FRUSTRATING!!! If you don’t know PLS don’t comment I’ve been doing this for over 2 hours pls
Answer:
well im in 7th sorry i cant help
Step-by-step explanation:
Answer:
6 years
Step-by-step explanation:
if we want to know how much i will get with interest
simple interest amount = principal amount × (rate / m) × n
plus the initial quantity
where m is 12 months per year
and n is the number of months
[tex]4451=2887(\frac{0.09}{12months/year})(n)+2887\\\\4451=2887[\frac{0.09}{12}(n)+1]\\\\(\frac{0.09}{12}\cdot n)+1=\frac{4451}{2887}\\\\\frac{0.09}{12}\cdot n=1.54-1\\\\n(0.09)=12(0.54)\\\\n=\frac{12(0.54)}{0.09}\\\\n=72.23\longleftarrow months[/tex]
so we need to convert it to years
[tex]72.23=12(6)+0.019[/tex]
6 years and 0 months
I apologize if there is some mistake in my answer
help me solve for the red variable
Answer:
i just need points
Step-by-step explanation:
The lengths of the sides of a quadrilateral are 4 consecutive even integers.
The perimeter of the quadrilateral is 20 inches.
What is the length of the longest side?
Answer: 8 inches
Step-by-step explanation:
A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.
We then equate the side to the perimeter. This will be:
a + a+2 + a+4 + a+6 = 20
4a + 12 = 20
4a = 20 - 12
4a = 8
a = 8/4
a = 2 inches
The length of the longest side will be:
= a + 6
= 2 + 6
= 8 inches
3/4 + 5/6 divided by 2/3
Answer:
2
Step-by-step explanation:
Answer:
Hello
Step-by-step explanation:
The awnser to your question is 2
can somebody help me pleaseee ?? it’s due soon & im stuck .
Answer:
a. lenqth=32 , width=2
b. m∠p=100 m∠Q=50 m∠R=30
c. XY=20 YZ=12
d.m∠1=90 m∠2=90
Step-by-step explanation:
a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,
1 AND 64 (this answer is suitable but it's better to choose another
one if available for more accuracy)
2 AND 32 (this is a good answer to use)
4 AND 16 (this one already used in the question)
8 AND 8 (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)
SO we will choose 2 AND 32 for the answer and we can put them in any order we want.
b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.
I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).
c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.
d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.
28 > m - 4
Solve the equation
Answer:
m<32
Step-by-step explanation:
You add 4 to both sides to isolate the variable which in this case is m this gives you 32>m, then you can just flip the equation.
Answer: m < 32
Step-by-step explanation:
28 > m - 4
Add 4 to both sides:
32 > m
Flip the inequality so m is in front:
m < 32
Hope this helps!
NEED HELP ASAP!!!!! WILL GIVE BRAINLIEST!!
2+2
Answer:
2+2=4
Step-by-step explanation:
You've got this man.
Answer:
4
Step-by-step explanation:
Flavia needs to build a fence around her dog house, as illustrated on the coordinate grid below. If each unit represents 1 foot, what is the total length of Flavia’s fence in feet?
Answer:
I would say your answer is (D
helpppp. I need to answers and its rotating around the orgin.
Find the value of x.
2x x
Answer:
2x²
Step-by-step explanation:
2xx
=2*x*x
=2*x2
=2x2
please help me? im desperate!
Answer:
The same sign
Step-by-step explanation:
The number of animals at the is shown in the table. Write a ratio to represent giraffes to otters.
Answer:
The ratio of giraffes to otters is 8:16. If simplified it's 1:2
Step-by-step explanation:
-7+0.3(-4x+20)+8.8x simplified