Answer:
width= 14
Step-by-step explanation:
Play around with numbers, i used 4, then 6, then 5 for the length. 5 is correct, do 5*2=10+4=14; 14*2+5*2= 28+10= 38
Therefore, the width of the rectangle is 14.
Answer:
w = 5
l = 14
Step-by-step explanation:
We have to use system of equations here.
Let w be the width and l be the length
l=2w+4
w=l(1/2)-4
The equation is going to look like this
l+w+l+2 = 38
2l+2w = 38
Now, I will substitute l with what I said was equal to l above
2(2w+4)+2w = 38
Distribute:
4w+8+2w = 38
Combine like terms
6w+8=38
Same to both sides, subtract 8 on both sides
6w=30
Divide each side by 6
w=5
We know the width is 5, and now using the width, we can find the length, so we do 5*2+4 which is 14. Then we can plug that in:
2w+2l
2(5)+2(14)
10+28=38
Please let me know if you have any questions
Find the general solution of
dy/dx + 2y =6
Answer:
ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C
Step-by-step explanation:
dy/dx + 2y = 6
This is a first order linear ODE.
p(x) = 2
Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)
e^(2x)(dy/dx + 2y) = 6e^(2x)
e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx
Integrate both sides of the equation.
ye^(2x) = 3e^(2x) + C
Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.
Find the area of the regular polygon?
Answer:
A=(n * s * a) 2A=(n*s*a)2
Step-by-step explanation:
A=(n * s * a) 2A=(n*s*a)2 where n is the number of sides, s is the length of one side and a is the apothem
Scale factor: 2:1
10 in
5 in
13 in
Scale drawing
Object
A. Side a is 26 inches long, side bis 20 inches long, and side cis 10
inches long
B. Side a is 15 inches long, side bis 12 inches long, and side cis 7
inches long
C. Side a is 11 inches long, side bis 8 inches long, and side cis 3
inches long
D. Side ais 2.5 inches long, side bis 5 inches long, and side cis 6.5
inches long
Answer: A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.
Step-by-step explanation:
Scale factor for drawing = 2:1
Dimensions of drawing : 10 in, 5 in, 13 in
Dimension of object = Scale factor x Dimension of drawing
Sides of object:
2 x 10 in =20 in [b]
2 x 5 in = 10 in [c]
2 x 13 in = 26 in. [a]
Hence, the correct option is
A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.
Answer:
Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long.
Step-by-step explanation:
Find the radius of a circle with a circumference of 68.2
(pi = 3.1 NOT 3.14)
Answer:
646.4
Step-by-step explanation:
Answer:
d= 22
Step-by-step explanation:
C=πd
68.2= 3.1*d
68.2 / 3.1 =22
d=22
what is the slope intercept form of the equation of the line?
Answer:
The slope-intercept form of the equation of the line is:
y = 2/3x + 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, 2)(3, 4)(x₁, y₁) = (0, 2)
(x₂, y₂) = (3, 4)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 0]
= 2 / 3
Thus, the slope of the line = m = 2/3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting m = 2/3 and b = 2 in the slope-intercept form
y = mx+b
y = 2/3x + 2
Therefore, the slope-intercept form of the equation of the line is:
y = 2/3x + 2
What is 1/5 expressed as a percent?
How do u solve this plzzzz helppp
It’s called multi step equations
Answer:
x=6
Step-by-step explanation:
7x-9=3x+15
4x-9=15
4x=24
x=6
Answer:
x=6
Step-by-step explanation:
7−9=3+15
7−9+9=3+15+9
7−3=3+24−3
4=24
x=6
Find the measure of angle DEF
Answer:
31.8
Step-by-step explanation:
90-58.2=31.8
because the square in the middle means 90 degrees!
Answer:
<DEF= 31.8°
Step-by-step explanation:
Angle DEF is apart of a right angle which is 90°. The other angle, 58.2° is given and that plus DEF would equal 90°.
In an equation:
< DEF +58.2=90
-58.2 -58.2
----------------------------
<DEF= 31.8°
Simplify
(4x+2)+(x-1)=
Answer:
5x+1
Step-by-step explanation:
(4x+2)+(x-1)=
Combine like terms
4x+x +2 -1
5x+1
1) What is the sample space for the given situation?
A) [2, 3, 4, 5, 6, 7, 8, 9)
B) [3, 4, 5, 6, 7, 8, 9)
(1,3,5,7,9
D) {3,5,7)
Please help
Answer:
false_(a) 3 € {2,4,6,8} false_(b) 0 € false (c) {1} € {1, 2, 3} true_(d) {2} S {1, 2, 3} true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} true_ () Ø Ç {1,3
Step-by-step explanation:
i don't know about this is this it ?
Tina collects stuffed animals. She has 8 teddy bears, 9 dogs, 10 frogs, and 6 monkeys. What is the ratio of monkeys to teddy
bears?
A. 3:7
B. 3:4
O C. 8:6
O D. 7:4
Plssss help ASAP giving away lost of branlist
Answer:
it's c
Step-by-step explanation:
there are 8 bears and 6 monkeys!
hope this helps:)
Name the integers and the rational numbers in the given set. {-2,5, √6, 2/3,π Select the correct choice below and fill in any answer boxes within your choices. whts the answer ?
Is 0.456 greater than or less than 0.5
Answer:
0.456 is less than 0.5
Step-by-step explanation:
HELP , I’ll MArK bRAINLIESt
Answer:
you need to work on your capitalization.
Step-by-step explanation:
no offense.
Does anyone know the answer to this question??
What is 191 divided by 9?
Answer:
21. 2
Step-by-step explanation:
Answer:
21.222222222222222
Step-by-step explanation:
If you are able to save, $150 dollars per month-how many months will it take you to
save $2,500 dollars.
HELP ME
Answer:
16.66months
Step-by-step explanation:
2500/150
Mr Binnix wife is older than her sister by 2 years if their ages add up to 52 how old is each sister? Let c represent Leigh Ann’s age and let y represent Larisa s age
Answer:
the older sister is 27 and the younger is 25.
Step-by-step explanation:
C+2=Y
C+Y=52
2C+2=52
2C=50
C=25
25+2=Y
Y=27
Part A
At the market, Meyer buys a bunch of bananas for $0.50 per pound and a frozen pizza for $6. The total for his purchase was $8.50.
Which equation can be used to determine how many pounds p of bananas Meyer bought?
A) 0.5p - 6 = 8.50
OB) 0.5p + 6 = 8.50
O C) 6p - 0.5 = 8.50
OD) 6p + 0.5 = 8.50
Answer:
B) 0.5p + 6 = 8.50
Step-by-step explanation:
If bananas cost $0.50 per pound, you would have to multiply that by how many pounds Meyer bought, or p. When you found how many bananas Meyer bought, you would have to add the money for the frozen pizza ($6) That will give you a total of $8.50.
Answer:
5 pounds
Step-by-step explanation:
First, we need to find the value of 0.5p so our equation is:
8.5 - 6 = 2.5
Then we need to find the value of p in that 2.5, so our equation is:
2.5 ÷ 0.5 = 5
So Meyer bought 5 pounds of bananas
(5,3) reflected across the x axis and then across the y axis
Answer: (-5,-3)
Step-by-step explanation:
Answer:
X-axis: (5, -3)
Y-axis: (-5, 3)
Step-by-step explanation:
What is the product?
4927 x 7
Answer:
34489
Step-by-step explanation:
AC = 3x + 6 and CD = 2x + 14. Find x
Answer:
x= 8
Step-by-step explanation:
3x+6=2x+14
=8
put the equations together like previously shown. and combine like terms to solve for x
How do you find area of a trapezoid I will mark brainliest for the most explained and simple answer!!!!
Answer:
A = ((a+b)/2)h
Step-by-step explanation:
a and b are base (the top and bottom)
h is height
Write an equation for the line (y = mx + b)
Write a sentence explaining a real-life situation that this line could represent. (Make sure you use the word ascending in your sentence.)
How many meals would be packed in 20 hours?
Answer:
y = 125x2500 meal packs in 20 hoursStep-by-step explanation:
As per attached graph, there is proportional relationship with the formula:
y = 125xWe can easily find it using points (0, 0) and (2, 250)
m = 250/2 = 125The situation would be:
Team of volunteers help to pack meals for charity. They can pack 125 meals in an hour. How many meals would be packed in 20 hours?
125*20 = 2500 meal packsBrooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and farmhouse. Contemporary style cabinets sell for $90 and farmhouse style cabinets sell for $85. Each cabinet produced must go through carpentry, painting, and fiishing processes. The following table summarizes how much time in each process must be devoted to each style of cabinet.
Hours per process
Style Carpentry Painting Finishing
Contemporary 2.0 1.5 1.3
Farmhouse 2.5 1.0 1.2
Carpentry costs $15 per hour, painting costs $12 per hour, and fiishing costs $18 per hour, and the weekly number of hours available in the processes is 3000 in carpentry, 1500 in painting, and 1500 in fiishing. Brooklyn also has a contract that requires the company to supply one of its customers with 500 contemporary cabinets and 650 farmhouse style cabinets each week.
Let
x = the number of contemporary style cabinets produced each week
y = the number of farmhouse style cabinets produced each week
Develop the objective function, assuming that Brooklyn Cabinets wants to maximize the total weekly profit.
The objective function is maximize
Show the mathematical expression for each of the constraints on the three processes.
Hours available in carpentry: x1 + y1 ≤
Hours available in painting: x2 + y2 ≤
Hours available in fiishing: x3 + y3 ≤
Show the mathematical expression for each of Brooklyn Cabinets' contractual agreements.
x ≥
y ≥
Answer:
See Step by step explanation
Step-by-step explanation:
Objective Function: z
x = number of contemporary style
y = number of farmhouse style
Costs
Carpentry costs:
15*2*x + 15*2,5*y = 30*x + 37,5*y
Painting costs
12*1,5*x + 12*1*y = 18*x + 12*y
Finishing costs
18*1,3*x + 18*1,2*y = 23,4*x + 21,6*y
Total costs:
30*x + 37,5*y + 18*x + 12*y + 23,4*x + 21,6*y
71,4*x + 71,1*y
z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize
z = 18,6*x + 13,9*y to maximize
Subject to:
First constraint:
Hours available in carpentry 3000
2*x + 2,5*y ≤ 3000
Second constraint
Hours available in painting 1500
1,5*x + 1*y ≤ 1500
Third constraint
Hours available in finishing 1500
1,3*x + 1,2*y ≤ 1500
Fourth constraint
Minimum quantity of contemporary style 500
x ≥ 500
Fifth constraint
Minimum quantity of farmhouse style 650
y ≥ 650
General constraints:
x ≥ 0 y ≥ 0 x , y integers
Model:
z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize
Subject to:
2*x + 2,5*y ≤ 3000
1,5*x + 1*y ≤ 1500
1,3*x + 1,2*y ≤ 1500
x ≥ 500
y ≥ 650
x ≥ 0 y ≥ 0 x , y integers
The mathematical expression for each of the constraints on the three processes.
Model z = 90*x + 85*y - ( 71,4*x + 71,1*y )
Subject to
2*x + 2,5*y ≤ 3000
1,5*x + 1*y ≤ 1500
1,3*x + 1,2*y ≤ 1500
x ≥ 500
y ≥ 650
x ≥ 0 y ≥ 0 x , y integers.
We, wants to maximize the total weekly profit.
What is the meaning of constraints?a constraint is a condition of an optimization problem that the solution must satisfy.
Objective function: z
x = number of contemporary style
y = number of farmhouse style
We have to find the cost
The carpentry costs is,
15*2*x + 15*2,5*y = 30*x + 37,5*y
The painting costs is
12*1,5*x + 12*1*y = 18*x + 12*y
The finishing costs is
18*1,3*x + 18*1,2*y = 23,4*x + 21,6*y
Therefore the total costs is,
30*x + 37,5*y + 18*x + 12*y + 23,4*x + 21,6*y
71,4*x + 71,1*y
z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize
z = 18,6*x + 13,9*y to maximize
Subject to the constraint;
The first constraint is,
The hours available in carpentry 3000
2*x + 2,5*y ≤ 3000
The second constraint is,
Hours available in painting 1500 so,
1,5*x + 1*y ≤ 1500
The third constraint is,
Hours available in finishing 1500 so,
1,3*x + 1,2*y ≤ 1500
Fourth constraint is,
The minimum quantity of contemporary style 500 so,
x ≥ 500
The fifth constraint is
The minimum quantity of farmhouse style 650 so,
y ≥ 650
The general constraints are,
x ≥ 0 y ≥ 0 x , y integers,
Therefore the Model z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize,
Subject to
2*x + 2,5*y ≤ 3000
1,5*x + 1*y ≤ 1500
1,3*x + 1,2*y ≤ 1500
x ≥ 500
y ≥ 650
x ≥ 0 y ≥ 0 x , y integers,
To learn more about the constraint visit:
https://brainly.com/question/6073946
HELP ASAP. WILL GIVE BRAINLIEST
Answer:
15 x p = 300 OR 15p = 300
Step-by-step explanation:
The spinner below is spun twice. Make a table and calculate the probability of getting green twice.
Answer:
1/9
Step-by-step explanation:
3 out comes
green black purple spin twice
3*3=9 total outcome
1/9
A manufacturing firm tests job applicants. Test scores are normally distributed with a mean of 500 and a standard deviation of 50. What is the probability that the candidate score is 600 or greater
Answer:
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228
Step-by-step explanation:
Step(i):-
Given mean of the Population = 500
Given standard deviation of the Population = 50
Let 'X' be the random variable in normal distribution
Given X = 600
[tex]Z = \frac{x-mean}{S.D} = \frac{600-500}{50} = \frac{100}{50} =2[/tex]
Step(ii):-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = P(z≥2)
= 0.5 - A(2)
= 0.5 -0.4772
= 0.0228
Final answer:-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228
Assume that police estimate that 12% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. They stop 50 cars during the first hour. a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the fact that the mean of a geometric distribution is μ= 1 p and
Answer: mean = 8.33, variance =61.11 , standrad deviation = 7.82
Step-by-step explanation:
For geometric distribution,
Mean = [tex]\dfrac1p[/tex]
variance = [tex]\dfrac{1-p}{p^2}[/tex]
Standard deviation[tex]=\sqrt{Variance}[/tex] , where p = probability of success in each trial.
Given: p= 0.12
Mean = [tex]\dfrac1{0.12}=8.33[/tex]
Variance = [tex]\dfrac{1-0.12}{0.12^2}=\dfrac{0.88}{0.0144}=61.11[/tex]
Standard deviation = [tex]\sqrt{61.11}\approx7.82[/tex]
Hence, mean = 8.33, variance =61.11 , standrad deviation = 7.82
Two pizzas and four sandwhiches cost $62. Four pizzas and ten sandwiches cost $140. how much does each pizza and sandwhich cost?
Answer:
Pizzas are $15
Sandwiches are $8
Step-by-step explanation:
Write a system of equations
Pizza = x
Sandwiches = y
2x + 4y = 62
4x + 10y = 140
Isolate a variable in one of the equations
2x = 62 - 4y
x = 31 - 2y
Plug isolated x value into other equation
4(31-2y) +10y = 140
124 - 8y + 10y = 140
Simplify
2y = 16
y = 8
Plug y value into equation to solve for x
2x + 4(8) = 62
2x + 32 = 62
2x = 30
x = 15