Answer:
n=7
Step-by-step explanation:
7 times 5 equals 35.
Answer:
n=7
Step-by-step explanation:
Give:5n = 35
To solve the n. we need to divide both side by 5.
5n/5=35/5
n=7
A farmer with 5000 feet of fencing wants to enclose a rectangular field and then divide it into two plots by adding a fence in the middle parallel to one of the sides. Using the function A(x) , analytically find the WIDTH of the field that would maximize its area. (Round your answer to the nearest whole number)
Answer:
The required width of the field that would maximize the area is = 1250 feet
Step-by-step explanation:
Given that:
The total fencing length = 5000 ft
Let consider w to be the width and L to be the length.
Then; the perimeter of the rectangular field by assuming a parallel direction is:
P = 3L + 2w
⇒ 3L + 2w = 5000
3L = 5000 - 2w
[tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex]
Recall that:
The area of the rectangle = L×w
[tex]A(w) = ( \dfrac{5000}{3}-\dfrac{2}{3} ) w[/tex]
[tex]A(w) = \dfrac{5000}{3}w-\dfrac{2}{3} w^2[/tex]
Taking the differentiation of both sides with respect to t; we have:
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{2}{3} ( 2 w)[/tex]
[tex]A' (w) = \dfrac{5000}{3} - \dfrac{4w}{3}[/tex]
Then; we set A'(w) to be equal to zero;
So; [tex]\dfrac{5000}{3} - \dfrac{4w}{3}=0[/tex]
5000 = 4w
w = 5000/4
w = 1250
Thus; the required width of the field that would maximize the area is = 1250 feet
Also, the length [tex]L = \dfrac{5000}{3} - \dfrac{2w}{3}[/tex] can now be :
[tex]L = \dfrac{5000}{3} - \dfrac{2(1250)}{3}[/tex]
L = (5000 -2500)/3
L = 2500/3 feet
Suppose, the farmer divides the plot parallel to the width; Then 2500/3 feet = 833.33 feet and the length L = 1250 feet.
what is the radius of the cylinder
Heeeeellpppp
x^5 + 6x + 11x + 6 = 0
Answer:
The answer for x is
x=0.35262048
please helppp ppppñpñp
Answer:
I tried my best to explain it, hope it helps!
Step-by-step explanation:
Which statement is true?
A. The sum of two positive integers is sometimes positive, sometimes negative.
B. The sum of two negative integers is always negative.
C. The sum of a positive integer and a negative integer is always positive.
D. The sum of a positive integer and a negative integer is always negative.
Answer:
b or b
Step-by-step explanation:
help meh plss :) i don't know the answer
Answer:
33 1/3
Step-by-step explanation:
29 + 15x = -x - 3. Simplified
Two trains are traveling at a constant rate. Find the rate of each train
What is the Slope of these two points (6,2) and (9,5)
Answer: 1
Step-by-step explanation:
You would use the slope formula which is (y2-y1)/(x2-x1) where x1 and y1 correspond to the first point and x2 and y2 correspond to the second point. This would be (5-2)/(9-6) which equals 1. Hope this helps!
Answer:
Slope is 1
Step-by-step explanation:
(5-2)/(9-6)
=3/3
=1
7 X-4 = *
A) 28
B) 11
C) -11
D) -28
Answer:
7*-4=-28
Step-by-step explanation:
7*-4=-28
What is the equation of the line shown in this graph?
Answer:
y= 1
Step-by-step explanation:
Use y=mx +b
We have no slope so its just y= b
y=1
PLEASE PLEASD HELP!!!
A machine produces 480 gel pens per hour. Which equation represents the number of gel pens, p, produced in
m minutes?
Answer:
8m=p
Step-by-step explanation:
480/60=8
A turkey cost $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8-pound servings if turkey. How much will the turkey for Thanksgiving dinner cost?
Answer:
5.90625
Step-by-step explanation:
15*3/8=5 5/8
5 5/8=5.625
1.05*5.625=5.90625
The cost of the turkey for Thanksgiving dinner is $ 11.8125
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of 1 pound of turkey = $ 1.05
Total number of people at the Thanksgiving dinner = 15 people
The number of servings for each person = 2 servings
The amount of turkey servings for each person = 2 x 3/8 pound servings
= 3/4 pound servings
Now , the equation will be
So , the total cost of 3/4 pound servings of turkey =
3/4 x cost of 1 pound of turkey
The total cost of 3/4 pound servings of turkey = 3/4 x 1.05
= $ 0.7875
Now , the cost for 15 people at the Thanksgiving dinner =
15 x total cost of 3/4 pound servings of turkey
The cost for 15 people at the Thanksgiving dinner = 15 x 0.7875
= $ 11.8125
Hence , The cost of the turkey for Thanksgiving dinner is $ 11.8125
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I have alot of questions
Answer:
The coordinates of the vertex D. are (2, -5)
The coordinates of the vertex E. are (3, -2)
The coordinates of the vertex F. are (6, -4)
Step-by-step explanation:
The point D of the graph is located +2 on the x-axis and -5 on the y-axis
The point E of the graph is located +3 on the x-axis and -2 on the y-axis
The point F of the graph is located +6 on the x-axis and -4 on the y-axis
I hope that this helps! :)
ILL GIVE BRAINLIEST!!!!!!!!!!!!
Answer:
6.30
Step-by-step explanation:
PLS help me asap
A motorboat moves across a lake at a constant speed. When it begins, it is 64
km from the shore. After 17 minutes, it is 30 km from the shore. Which
function describes the motorboat's distance from the shore?
The answer
A. y= 2x+64
B. y=-2x+64
C. y=-17x+ 30
D. y=-17x+64
Answer:
y=-2x+64 i think
Step-by-step explanation:
What is another way to summarize the outcome of this proof?
1
Given: AB II CD
A
B
4
6
5
Prove: 23 a 26
с
7
8
D
Statement
Reason
1. AB||CD
1. Given
2.23 27
2. Corresponding angles theorem
3. Vertical angles are congruent
3. 27 - 26
4. m23 = m27
m27 = m_6
5. m23 = m26
4. Definition of congruence
5. Substitution
6.23 - 26
6. Definition of congruence
Vertical angles are congruent.
B. If two lines are parallel, then alternate interior angles are
congruent.
C. Corresponding angles theorem.
D. If two lines are parallel, then alternate exterior angles are
congruent.
Answer:
Option B: If two lines are parallel, then alternate interior angles are
congruent.
Step-by-step explanation:
Notice that angles 3 and 6 are INTERNAL relative to the parallel lines, that is located in between the parallel lines. They are also alternate angles. Therefore, the correct answer is:
"If two lines are parallel, then alternate interior angles are congruent."
What type of equation is -1/2y=1/2x+5
Answer:
Linear Equation: A linear equation is an algebraic equation. · 2. Polynomial Equation: · 3. Quadratic Equation: · 4. Trigonometric equation: · 5. Radical Equation:
Step-by-step explanation:
(1, 4) is a solution of the graph. True or False
y
4
2
2
-2
2
х
21
what is the answer to this problem: A(-4,-5), B(-2,-3), C(4,-3), D(6,-2), E(6,6), F(-1,6), G(-4,2). Find the length of BC.
Answer:
Length of BC is 6.
Step-by-step explanation:
B is at (-2,-3) and C is at (4,-3)
Length BC
[tex]=\sqrt{((-3--3)^{2} +(4--2)^{2} }=\sqrt{6^{2}} =6[/tex]
What are the slope and y-intercept
Answer:
Slope= -1/2 ; y-inter = 0
Step-by-step explanation:
Which is the graph of f(x) = 2 Square root negative X
Answer:
the graph is (0,2)
Step-by-step explanation:
Solve.
4(y + 4) = 32
Answer:
y = 4
Step-by-step explanation:
4*y = 4y
4*4 = 16
4y+16=32
to get 4y alone, we subtract 16 from 32.
32-16 = 16
4y = 16
to get y alone, we divide 4 by 16
16/ 4 = 4
so, y = 4
Answer: y=4
Step-by-step explanation:
4(y+4)=32
Divide both sides by 4
y+4=8
Subtract 4 from both sides
y=4
Subtract and Simplify your answer 12/24 - 1/6
Answer:
The answer would negative 4
describe and correct the error a student made when finding the function rule for the data in the table
I don't know if you still need the answer, but it's in the picture
The correct statement is; B. When x increases by 1, y increases by 9. The function rule is y = 9x + 1
What is linear function?A linear function is represented as: y = mx + c
Where m is the slope and b is the intercept the value of y, when x = 0
From the given table, we have the following observations that;
As x increases by 1
The value of y increases by 9 and the slope of the table is 9
So, we have been given m = 9
Then y = 9x + c
Since an increment of 1 in the value of x will result in an increment of 9 in the value of y which means that; If x is reduced by 1, the corresponding value of y would reduce by 9.
When x = 1 then y = 10
This means that y = 9x + 1
The correct statement is; B. When x increases by 1, y increases by 9. The function rule is y = 9x + 1
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jacket costs $40 at the store. Max pays only 0.7 of the price
because his father works at the store. Evan has a coupon for $10 off.
Explain who will pay less for the jacket.
g Company
Answer:
Max pays less because 70 percent of 40 is 28 meaning max only pays 28 bucks, meanwhile Evan pays 30 because 40 minus 10 is 30. Max pays 28 and Evan pays 30.
Step-by-step explanation:
Cho flipped a coin 20 times. The coin landed on tails 8 times. What is the ratio of the number of times the coin landed on heads to the number of flips?
Answer:
The answer is
A ) 12 to 20
Step-by-step explanation:
Cho flipped heads 12 times. She flipped the coin a total of 20 times, making the ratio 12 to 20.
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a fantastic day! :)
IM TIMED PLZ HELP Which values of a, b, and c correctly represent the answer in simplest form? a= 38, b= 14, c= 1 a= 1, b= 14, C = 38 a= 1, b= 7, C= 19 a= 19, b= 7, C= 1
Answer:
you're right, a=1 b=7 c=19
Step-by-step explanation:
Work out:
3ab - 9ab + 7ab
Please answer ASAP.
What’s 2+2 get it right we can be 1,000 dollars
4! Or 22 :))))))))))))))))))) hope I got it right!
