Answer:
The width is 22.5 feet and the length 45 feet.
Step-by-step explanation:
Let l represent the length of the rectangle and w represent the width of the rectangle. The cost of the fence (C) is:
C = 2l + 2w + 2l + 6w
C = 4l + 8w
360 = 4l + 8w
360 = 4(l + 2w)
90 = l + 2w
l = 90 - 2w
Area (A) of rectangle = length * width
A = l * w
Put l = 90 - 2w
A = (90 - 2w)w
A = 90w - 2w²
The maximum area is at A' = 0, hence:
Differentiating gives:
A' = 90 - 4w
Put A' = 0
0 = 90 - 4w
4w = 90
w = 22.5 feet
l = 90 - 2w = 90 - 2(22.5) = 45 feet
Hence the width is 22.5 feet and the length 45 feet.
you have a bill of $100. find a 18% tip?
Answer:
$18
Step-by-step explanation:
18% of 100 is 18
Answer:
$18.00
Step-by-step explanation:
18% of $100 dollars is 18/100.
the tip is $18.00 dollars.
A company is selling toothpicks. It costs $0.03 to produce each toothpick and a fixed cost of
$120 a month for the company. If the company is selling toothpicks for $0.05 each, how
many toothpicks must they sell a month in order to break-even?
Answer:
2,400
Step-by-step explanation:
120÷0.05=2400
hope this helps
You burn 4 Cal/min walking and 10 Cal/min running. You walk 10 to 20 min each day and run 30 to 45 min each day. You never spend more than an hour running and walking together. How much time should you spend on each activity to maximize the number of Calories you burn? Will you have exercised enough to burn off a 500-Calorie meal? A. 50 minutes running, 10 minutes walking; yes. B. 45 minutes running, 15 minutes walking; yes. C. 40 minutes running, 20 minutes walking; no. D. 30 minutes running, 30 minutes walking; no.
Answer:
I don’t know how to do the explanation but the answer is 15 min waking and 45 running. I got it right on the test
Step-by-step explanation:
What's the degree of the polynomial? P(x)= 7x^7+2x^5+7x+7
Answer:
7
General Formulas and Concepts:
Degree of Polynomial is determined by the highest powerStep-by-step explanation:
Step 1: Define function
P(x) = 7x⁷ + 2x⁵ + 7x + 7
Step 2: Identify
7x⁷ is the largest term.
Has the highest powerTherefore, highest degreeDanny bought 8 rolls of paper towels. He has 204.8 meters of paper towels in all. How many meters of paper towels are on each roll? A) 21.52 B) 25.12 C) 25.60 D) 26.52
Answer:C) 25.60
Step-by-step explanation:204.8÷8=25.60
Answer:
:C) 25.60
Step-by-step explanation:
the length of a rectangle is five times its width. if the perimeter of the rectangle is 96 ft, find its area.
Answer:
lets say that the length is L and the width is W. With the given info, we can say that L=5W.
We know that the perimeter is all four sides added, so..
5W*4=20W
20W=96
W=4.8
L= 5*4.8=24
Area is equal to 24*4.8, which is 115.2
Voila! Your answer is 115.2 sq. ft!
Please answer this correctly without making mistakes
Answer:
The 2-cup bottle of insect repellent for $4.48
Step-by-step explanation:
The first would be 0.31 cents per ounce and the second is 0.28 cents per ounce.
Solve the following inequality using an algebraic approach:
-4 < 3x+5<11
Answer:
-3 < x < 2
Step-by-step explanation:
Move all terms not containing x from the center section of the inequality
When you calculate In (100), you would be finding the value of which of the following expressions?
log(100)
loge (100)
log100 (e)
log10(100)
Given the log function ln(100), this can therefore be written as loge(100)
Logarithmic functionsLogarithmic functions are inverse of exponential functions. There are different ways to write log function;
Some are written as a exponent base
Some to the base of 10
Loga is also written as log10(a)lna is written as loge(a)Given the log function ln(100), this can therefore be written as loge(100)
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The two triangles are similar, What is the length of DE?
Answer:
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. The corresponding sides of similar triangles are in proportion.
I hope this might help you
Mark it as brainliest answer and follow me
Identify the like terms in the following expression:
15m + 2n – 4m + n +12m
Answer:
23m+3n
Step-by-step explanation:
Read carefully and choose the name of the student who made the correct statement.
Answer: graph is 2/3
Step-by-step explanation: its up two and over 3 if you look at the graph you can see it hitting the graph :P hope this helps
Please help ASAP! Thankss
X intercepts are when y = 0, set the equation equal to zero and solve:
0 = -x^3 +x^2 + x -1
-x^3 + x^2 = -x
-x + x = 0
0-1 = -1
The first one is (-1,0)
Because the equation contains squares the answer could also be opposite, so the other answer would be (1,0)
The two answers are (-1,0) (1,0)
What is the percent of change from 60 to 63?
It is 5%
63-60=3
60 divided by 3 = 5
5%
The area of a rectangular painting is 8613 cm?.
If the length of the painting is 99 cm, what is its width?
Answer:
The width is 87 cm
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
8613 = 99 * w
Divide each side by 99
8613 / 99 = 99 w /99
87 = w
The width is 87 cm
Answer:
Step-by-step explanation:
Given
The area of a rectangular painting=8613 cm^2
Length of painting=99cm
Solution
Area of the rectangular painting=8613
Length×width=8613
99×width=8613
Width=8613/99
Width =87cm
(please answer)
If f(x) = (x + 3) - 2, which of the following is the value of f(-3)?
Answer:
f(3)= 4
Step-by-step explanation:
x= -3=0
x= 3
f(3)=(3+3)-2
f(3)= 6-2
f(3)= 4
(−6x − 11) − (−2x − 4)
Answer:
EVALUATE
−8x−7
EXPAND
−8x−7
Step-by-step explanation:
SOLUTION STEPS
(−6x−11)−(2x−4)
To find the opposite of 2x−4, find the opposite of each term.
−6x−11−2x−(−4)
The opposite of −4 is 4.
−6x−11−2x+4
Combine −6x and −2x to get −8x.
−8x−11+4
Add −11 and 4 to get −7.
−8x−7
1. Choose the correct answer for the following equation:
106
=
10
60
1,000,000
6,000,000
Answer:
1000000
Step-by-step explanation:
a line has a y intercept of -12 and a slope of 1, what is the slope intercept form?
Answer:
y = x - 12
General Formulas and Concepts:
Alg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define variables
y-intercept: -12
Slope m = 1
Step 2: Write equation
y = x - 12
Solve the following system of equations using SUBSTITUTION.
y = 3x
3x + 2y = 12
PLEASE EXPLAIN!! :)
Step-by-step explanation:
y = 3x_______equation1
3x + 2y = 12_____equation2
sub y into equation 2
3x+2(3x)=12
3x+6x=12
9x=12
x=3/4
sub X into equation 1
y=3x
y=3(3/4)
y=9/4
y=9/4 x=3/4
I hope this helps
What is the volume, in cubic centimeters, of a cylinder with a height of 20 centimeters and a base radius of 5 centimeters, to the nearest tenths place?
Answer: 51570.8
Step-by-step explanation:
6x² – x=2
Factor and solve
Answer:
x=2/3 or x=−1/2
Step-by-step explanation:
6x²−x=2
6x²−x−2=2−2
6x²−x−2=0
(3x−2)(2x+1)=0
3x−2=0 or 2x+1=0
x=2/3 or x=−1/2
w2 + 12 - (z + 7) ; w = 2 , z = 2
Answer:
7
Step-by-step explanation:
w2 + 12 - (z + 7) ; w = 2 , z = 2
replace the variables with the given number
(2)2+12-(2+7)
4+12-2-7 distrubute
4+12-9
4+3
7
Answer:
7
Step-by-step explanation:
A unit rate is a rate in which?
A. one of the quantities is 1
B. the quantities add up to 1
C. both of the quantities are 1
D. neither of the quantities is 1
A unit rate is a rate in which neither of the quantities is 1
What is unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A unit rate is a rate in which.....
Now, if we find the unit rate of any quantity it tells that the price of 1 quantity.
It does not tell about the amount of quantity.
Learn mote about unitary method here:
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I am literally in tears. Pls someone help me fast. This is a timed question. I will give all of my points to the answer if it is right. Please!!!
hey dude ....hey dude ....14x +6 /3= -8 +4x14x+6 = -24 +12x2x+6= -242x= -30x=15x=15putting value of x in -3x^2 -7,-3(15)^2 -7-3(225)-7-675 -7-682
What is the angle of elevation?
Answer:
Step-by-step explanation:
tan x° = [tex]\frac{3}{4}[/tex] ⇒ x° ≈ 36.87° ≈ 36.9°
which of the following number is divisible by both 2 and 3
Answer:
6, 12, 18,
Step-by-step explanation:
u didn't said the numbers but here is the explanation
6÷2=3
6÷3=2
12÷3=4
12÷2=6
18÷2=9
18÷3=6
Nolan feeds 6 carrots equally to 3 rabbits how many carrots dose each rabbits get
Answer:
2 carrots
Step-by-step explanation:
because if you have 3 rabbits and 6 carrots you have to to do 3x2 and it equals 6 and u can do it backwards 6/3 equals 2 so 2 is your answer.
Can anyone thats really extremely excellent at math, history and english please help me out with my questions. Truly need help. Please only answer if you know how to. ( Just click on my name and go to my questions) answer.
Answer:
Meeeeeeeeeeeeeeeeeeeeeee
Explain how to evaluate (-9)(-6)(15)(-7+7) as simply as possible.
Answer:
For this case we must explain how to simplify the following expression:
( -9)(-6)(15)(-7+7)
According to the PEMDAS algebraic resolution order method, operations within parentheses must be performed first.
So, we have:
-7+7
Different signs are subtracted and the major sign is placed.
-7+7=0
Rewriting the original expression we have:
(-9)(-6)(15)(0)=
Every number multiplied by "0" results in "0".
Then, the expression is zero.
(-9)(-6)(15)=0
Answer:
(-9)(-6)(15)(-7+7)=0
