Hey there!
16 + b
= 16 + 6
You [start] at 16 and [go up] 6 [spaces to the right]
= 22
Therefore, your answer is: 22
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
My friend has $280 to spend on a fence for her rectangular garden. She wants to use cedar fencing which costs $13/foot on one side, and cheaper metal fencing which costs $7/foot for the other three sides.
What are the dimensions of the garden with the largest area she can enclose?
length for cedar side = ___foot
width for other side = ___foot
What is the largest area that can be enclosed?
area = ____foot-squared
If necessary, round your answers accurate to two decimal places.
What are the dimensions of the garden with the largest area she can enclose?
The dimensions of the garden with the largest area she can enclose are length for cedar side = 7 foot and width for other side = 10 foot
Let L = length of the fence and W = width of the fence.
Also, let L be the length of cedar fencing.
Since we require one side of cedar fencing and the other 3 sides of cheaper metal fencing, and the cedar fencing costs $13/foot and the cheaper material costs $7/foot, the total cost of fencing is C = 13L + 7L + 2W × 7
= 13L + 7L + 14W
= 20L + 14W.
Since the total amount my friend wants to spend on fencing is $280, C = 280.
So, 20L + 14W = 280
10L + 7W = 140 (1)
Also, the area of the rectangular area is A = LW
From (1), L = (140 - 7W)/10
Substituting L into A, we have
A = LW
A = (140 - 7W)W/10
A = 14W - 0.7W²
To find the value of W that makes A maximum, we differentiate A with respect to W.
So, dA/dW = d(14W - 0.7W²)/dt
dA/dW = 14 - 1.4W
Equating it to zero, we have
14 - 1.4W = 0
14 = 1.4W
W = 14/1.4
W = 10 feet
To determine if this value maximizes A, we differentiate dA/dW with respect to W.
So, d²A/dW² = d(14 - 1.4W)/dW = -1.4
Since d²A/dW² = -1.4 < 0, W = 10 feet is a maximum point.
Since L = (140 - 7W)/10,
substituting W = 10 into the equation, we have
L = (140 - 7W)/10
L = (140 - 7 × 10)/10
L = (140 - 70)/10
L = 70/10
L = 7 feet
So, the dimensions of the garden with the largest area she can enclose are length for cedar side = 7 foot and width for other side = 10 foot
What is the largest area that can be enclosed?
The largest area that can be enclosed is area = 70 foot-squared
Since the area A = LW
Substituting the values of L and W into the e quation, we have
A = LW
A = 7 × 10
A = 70 ft²
So, the largest area that can be enclosed is area = 70 foot-squared
Learn more about dimensions of a rectangular garden here:
https://brainly.com/question/3406221
Amaryn bought 8 notebooks. each notebook is 12.78 Amaryn paid 5.99 for shipping
Answer:
108.23
Step-by-step explanation:
8*12.78=102.24+5.99= 108.23
Roger question here keep it simple and clear
Answer:
13
Step-by-step explanation:
A surveyor is standing 75 feet from the base of a building. The angle of elevation to the top of the building is 60°. Approximately how tall is the building? Round the answer tot he nearest tenth.
Using the principle of Pythagoras, the height of the building is approximately 129.9 feets.
Using SOHCAHTOA :
Tanθ = opposite / AdjacentTan(60) = height / 75
1.7320508 = height / 75
Height = 1.7320508 × 75
Height = 129.90 feets.
Hence, the height of the building is 129.9 feets.
Learn more :https://brainly.com/question/25644130
Find the area of a triangle whose base is 26 inches and whose height is 13 inches. Write your answer as a decimal, if necessary. Do not include units in your answer
Answer:
169 in square
Step-by-step explanation:
first multiply 13 by 26 which is 338 a triangle is half of a square or rectangle so divide 338 by 2 to get 169 in square
Joakin lives 0.3 miles from Keith. Layla lives 0.4 times as far from Keith as Joakim. How far does Layla live from Keith. Write an expression to solve.
Answer:
0.12 Miles
Step-by-step explanation:
Given:
Joakin = 0.3 Miles from Keith
Layla lives 0.4 times as far as Joakim
Solution:
If Joakin lives 0.3 miles from keith and Layla lives 0.4 times as far from keith as Joakim that mean to multiply 0.3 by 0.4.
0.3 x 0.4 = 0.12
Hence, Layla live 0.12 Miles from Keith.
It is said that "one year in a dog's life is
equivalent to seven years in a human's
life.” Explain why Newton thinks he has
a score of 105 points. Did he solve the
proportion correctly?
1 year ?
15 points
105 points
7 years
Answer:
im drunk so gfhdjskal
Step-by-step explanation:
A graduated cylinder has a mass of 50 g when empty. When 30 ml of water is added the graduated cylinder has a mas of 120 If a rock is added to the graduated cylinder, the water level rises to 75 ml, and the total mass is now 250g. What is the density of the rock?
If a consumer takes out a $100 payday loan, his total cost will be higher because of
Answer:
being smart
Step-by-step explanation:
can anyone heelp me plz
Leyla goes shopping at Marshalls and buys”t” t-shirts that cost $12 each. She also has a $10-off coupon. Define your variable and write an expression for how much Leyla spends at Marshalls.
Answer:
12t - 10
Step-by-step explanation:
let 't' = t-shirts
let 'c' = total cost
c = 12t - 10
Pls help 100 points math question
Answer:
7
Step-by-step explanation:
because 7 goes into 35 and goes into 14 and goes into 28
Step-by-step explanation:
What is ratio for the geometric sequence?
U2 = 7
U1 = 35/2
r = U2 ÷ U1
r = 7 ÷ 35/2
r = 7 × 2/35
r = 1 × 2/5
ratio = 2/5 or 0,4
A box has colored balls (12 red, 10 green, 6 light blue and 8 yellow). What is the probability of drawing 2 red balls?
9514 1404 393
Answer:
1/14
Step-by-step explanation:
The probability of drawing the first red ball is 10/36, the number of reds divided by the number of balls.
The probability of drawing the second red ball is 9/35, the remaining number of reds divided by the remaining number of balls.
P(2 red) = (10/36)(9/35) = 1/14
bob sells televisions. he earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If sells 12 televisions with extended warranties, earns 900 How much is the fixed amount earns for each television
Answer:
$50
Step-by-step explanation:
25x12=300 (the amount he makes on the extended warranties)
900-300=600 (total fixed price on all 12 tvs)
600/12=$50
He makes $50 on each TV
Please please help please help me please please help me out please please help please please help me please please help please please help me please
Answer:
with what
Step-by-step explanation:
Will mark as brainlist answer quickly
In five to ten sentences, explain how the feudal system worked.Please write it in your own words and don’t copy off of internet my teacher will know easy if it is copied.
Answer:
Feudalism is a system of land ownership and duties. It was used in the Middle Ages. With feudalism, all the land in a kingdom was the king's. However, the king would give some of the land to the lords or nobles who fought for him, called vassals. The term feudal system is often used in a much more general way in political rhetoric to indicate an outdated, exploitative system of government.
Step-by-step explanation:
Hope it helps
Answer:
The feudal system was introduced to England following the invasion and conquest of the country by William I, The Conqueror. Feudalism did not always work as well in real life as it did in theory, and it caused many problems for society. The feudal system is a type of social and political system in which landholders provide land to tenants in exchange for their loyalty and service. The feudal systen developed because people needed prorection from invaders since the Roman Empire had fallen. The feudal system started at the top with the kimg granting his lamd to a baron for soldiers all the way down to a peasant getting land to grow crops.
(Fun fact: Another word for Feudal stsyem is feudalism)
can someone write this equation is slope intercept form?
Answer:
To find the slope use the distance formula. The distance formula is Y2-Y1/X2-X1.
300-100/10-2
200/8
25
So, the equation so far is y=25x+b. To find the y-intercept, substitute one of the points into the equation.
100=25(2)+b
100=50+b
b=50
The equation of the line is y=25x+50.
:)
Answer:
y = 25x + 50
Step-by-step explanation:
The graph shows this line passing through (2, 100) and (10, 300). Here x changes from 2 to 10, a 'run' of 8, and y changes from 100 to 300, a 'rise" of 200. Hence the slope of this line is m = rise / run = 200/8 = 100/4 = 25.
The basic slope-intercept form is y = mx + b. We know that m = 25. Taking coordinate values from (2, 100), we let x = 2 and y = 100:
100 = 25(2) + b, or 100 = 50 + b.
Therefore, the y-intercept is 50, and the desired equation in slope-intercept form is
y = 25x + 50
will mark brainliest
Answer:
i think addition
..........
Step-by-step explanation:
.
Step-by-step explanation:
multiplication
n × term
means that there is n times the term. n is the number of the terms.
HELPPP LAST ATTEMPT!!
Answer:
(-6, 3)
Step-by-step explanation:
Answer:
(-6,3)
Step-by-step explanation:
To the right would change x axis so from (-9,5) to (-6,5) then down would change to y so from (-6,5) to (-6,3)
SO SORRY IF ITS NOT CORRECT :(
serious
have a god rest of ur niighhttt :3
Hey if any body can help
Answer:
The distance is 50
Step-by-step explanation:
Take the second number and subtract the first number
16 - -34
Subtracting a negative is like adding
16+34
50
Can someone please help me??
Answer:
10/9
Step-by-step explanation:
Common denominator is 9, 1*3/3*3 = 3/9, 3/9 + 7/9 = 10/9
from y² + 5 y - 7, subtract y² - 3 y - 4
Please help it doesn’t make sense to me I will give brainliest
Answer:
y= -x +9
Step-by-step explanation:
The general equation of a line in slope intercept form is y=mx+b, where m is the slope and b is the y-intercept
For the given graph
Thake ANY 2 points on the line, for example (0,9) and (9,0) and calculate the slope
m= difference in y coordinates/ difference in x coordinates
=(9-0)/ (0-9) = 9/-9 = -1
b =9 because the given line is intersecting the y-axis at point (0,9)
The euation of the red line is y= -x +9
Six is less than the product of a number n and 1/3 is no more than 95
[tex]n( \frac{1}{3} ) - 6 \leqslant 95[/tex]
Hope this helps:)
Which expression is equivalent to (7h^2-7h+5)-(10h^2-3h+6)?
1. -3h²-4h-1
2. -3h²-10h+11
3. 17h²-4h-1
4. 17h²-10h+11
Answer:
[tex]-3h^{2} -4h-1[/tex]
Step-by-step explanation:
Remove the parentheses and rewrite the expression as
[tex]7h^{2} -7h+5-10h^{2}+3h-6[/tex]
Then we combine like terms
[tex](7h^{2} -10h^{2} )+(-7h+3h)+(5-6)[/tex]
Simplify
[tex]-3h^{2} -4h-1[/tex]
Kevin wants to make the best choice for his retirement plan. He can withdraw money weekly, monthly, or
quarterly. He needs to compare all three options and see if there is a difference in these three cases. He has
$250,000 saved for retirement in an account earning 3.5% interest. He plans to make regular withdrawals
for 25 years.
Compare these three options to see which one is more beneficial for Kevin. When you make comparison,
you should at least calculate
1. the amount he can withdraw each time period
2. the amount in total he can withdraw in 25 years
What observation can you make about the withdraw frequency when the interest rate stays the same?
Grace's work is x miles from her house. She drives to work every day of a 5-day workweek. Grace also goes to the gym every day after work, which increases her daily drive by 8 miles. The following expression shows the number of miles Grace puts on her car during the workweek. Which of the following descriptions are equivalent ways to write this problem? Grace's work is x miles from her house. To get to work and back, she drives x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times. Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 7 times. She also goes to the gym to work out which increases her driving by 13 miles per workweek. Grace's work is x miles from her house. To get to work and back, she drives 2x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times. Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 10 times. She also works out which increases her driving by 40 miles per workweek.
Answer:
El dirves unos 60 Km durante todo el recorrido unas 5 vweces a las semana
Step-by-step explanation:
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An investigator at a crime scene found a triangular piece of torn fabric. The investigator remembered that one of the suspects had a triangular hole in their coat. Perhaps it was a match. Unfortunately, to avoid tampering with evidence, the investigator did not want to touch the fabric and could not fit it to the coat directly.
a) If the investigator measures all three side lengths of the fabric and the hole, can the investigator make a conclusion about whether or not the hole could have been filled by the fabric?
b) If the investigator measures two sides of the fabric and the included angle and then measures two sides of the hole and the included angle can he determine if it is a match? Explain.
9514 1404 393
Answer:
a) yes
b) yes
Step-by-step explanation:
a) Triangles can be proven congruent by the SSS postulate, so knowing the three side lengths is sufficient to demonstrate the piece will fit in the hole.
__
b) A triangle can be solved (completely specified) if two sides and the included angle are known. Those measurements on the fabric and the hole allow all side lengths and angles of the triangles to be determined completely. Hence the triangles can be shown congruent as a result.
_____
Additional comment
Showing SSS congruence generally means demonstrating corresponding sides are the same length. However, the three side lengths completely specify the triangle. The side lengths can always be made corresponding if they are listed in some order, for example, shortest to longest.
Showing SAS congruence requires that corresponding sides and angles be shown congruent. However, an SAS specification of a triangle is sufficient to permit determination of all sides and angles. Specifically, the third side length can be found using the Law of Cosines, and the remaining angles can be found from either the Law of Sines or the Law of Cosines.
-b-2>8 solve the inequality
Answer:
b < 10
Step-by-step explanation:
-b - 2 > 8
Add 2 to both sides.
-b > 10
Divide both sides by -1. When dividing by a negative, flip the inequality sign.
b < 10.
When a ball is dropped onto a flat floor, it bounces to 65% of the height from which it was dropped. If the ball is dropped from 80 cm, construct a sequence consists of the first, second and third term which represents the height of each bounce from the first drop.
13n
Show that the height of nth bounce, Tn is = 80 .
20
Hence, find the height of the fifth bounce
Using a geometric sequence, it is found that:
The rule for the height of the nth bounce is:[tex]a_n = 52(0.65)^{n-1}[/tex]
The height of the fifth bounce is of 9.28 cm.In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem:
Bounces to 65% of the height from which it was dropped, thus the common ratio is of [tex]q = 0.65[/tex].Dropped from 80 cm, thus, the height of the first bounce is [tex]a_1 = 80(0.65) = 52[/tex].Thus, the rule for the height of the nth bounce is:
[tex]a_n = 52(0.65)^{n-1}[/tex]
The height of the fifth bounce is [tex]a_5[/tex], thus:
[tex]a_5 = 52(0.65)^{5-1} = 9.28[/tex]
The height of the fifth bounce is of 9.28 cm.
A similar problem is given at https://brainly.com/question/11847927
