Answers
Related Questions
Sai has a garden on the side of his house that will be enclosed with 196 ft. of fencing. The
rectangular plot will be fenced in on all sides except for the side against the house. What
dimensions will maximize the plot of land? What is the maximum area?
PLEASE DO THESE BELOW
-use written and verbal explanination that justifies each step
-Use at least one representation(ex number sentences, diagrams, charts, etc)
Answers
Answer:
49 and 98, with an area of 4802
Step-by-step explanation:
So, let X be one of the sides, and Y be the other
X*Y would be the area of the rectangle since width*length = area, and X is the width and Y is the length
2X+Y would be the perimeter, excluding the wall (since we don't need fencing for the side sticking to the wall)
To find the max area, we can plot our two equations
so, our two equations:
1. 2X+Y=196 (since perimeter)
2. X*Y=area, and we're trying to maximise it
We can re-arrange the first equation to get
3. Y=196-2X
plug our new equation (#3) into the second equation(#2)
to get:
X*(196-2X)=area=196X-[tex]2X^2[/tex]
And now that we have this equation, we can either:
Graph it to see the largest area (the highest point)
Or calculate the max area using calc
We have a quadratic function that goes up, then down as X increases, so we'll try to find the point where the function stops going up, and instead goes down as X increases (image is attached, not to scale). Recall that the first derivative basically tells is the slope of a function/equation at a given X, so when the function is at a slope of 0, we know that the area is at its max point.
Take the first derivative
(196X-2X^2)'=196-2(2X)=196-4X
196-4X is the equation of the slope, so when X = 49, then the slope is 0
This means that one of the side lengths should be 49
To find out which one, we can use trial and error: (there are 2 cases)
1. 49*((196-49)/2)=3601.5
or:
2. 49*(196-2*49)=4802
The second option is correct since the number, or the area is larger.
Side length 1: 49
Side length 2: (196-2*49), or 98
Note: there's definitely another way to do this problem
Two cubes with edge lengths of 3 centimeters and 2 centimeters are placed on top of each other is shown. What is the surface area of the resulting figure?
Answers
Answer:
I believe the answer is B
Answer:
70 cm2
Step-by-step explanation:
A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach their goal. He represented this situation as 3 c greater-than-or-equal-to 240. Which graph represents this inequality?
A number line going from 718 to 722. A closed circle is at 720. Everything to the right of the circle is shaded.
A number line going from 718 to 722. A closed circle is at 720. Everything to the left of the circle is shaded.
A number line going from 78 to 82. A closed circle is at 80. Everything to the right of the circle is shaded.
A number line going from 78 to 82. A closed circle is at 80. Everything to the left of the circle is shaded.
Answers
Answer:
240÷3.00=710
718-722=720
78-82=80
Find the area of the blue shaded region in the figure.
A) 80 cm2
B) 112 cm2
C) 120 cm2
D) 160 cm2
Ayuda Por Favor
Help Please
Answers
Answer:
160cm^2
The area of the rectangle minus the area of the right angled triangle (20×10-8×10÷2)
You try: Simplify the exponent
8x^-2
Answers
Answer:
The answer is 8/x^2
Step-by-step explanation:
Remember the Property of Exponents:-
[tex]\sf{a^{-b)=\displaystyle\frac{1}{a^b}[/tex]
Use it:-
[tex]\sf{8x^{-2}[/tex]
According to the property, we should flop the number over:-
[tex]\bigstar{\boxed{\pmb{\frac{1}{8x^2} }}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
Jada makes sparking juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
How much sparkling water does Jada need if she uses 15 cups of apple juice?
? cups of sparkling water.
How much apple juice does Jada need if she uses 6 cups of sparkling water?
? cups of apple juice.
Let S represent the number of cups of sparkling water and J represent the number of cups of apple juice. Write an equation that shows how S and J are related. Use your answers from the previous question to assist you with your answer.
Answers
Answer:
[1] 10
[2] 9
[3] j = 3/2 ⋅ s
Step-by-step explanation:
Jada makes sparking juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.How much sparkling water does Jada need if she uses 15 cups of apple juice?
Answer = 10
Explanation:
Ratio for mixing 2 cups of sparkling water with every 3 cups of apple juice
2 : 3
Thus also means:
2/3 = x/15
Solve for x:
x = 10
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How much apple juice does Jada need if she uses 6 cups of sparkling water?
Answer = 9
Ratio for mixing 2 cups of sparkling water with every 3 cups of apple juice
2:3
Also means:
2/3 = 6/x
Solve for x
x = 9
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Let S represent the number of cups of sparkling water and J represent the number of cups of apple juice. Write an equation that shows how S and J are related. Use your answers from the previous question to assist you with your answer.
Answer = j = 3/2 ⋅ s
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~lenvy~
The data below represents the scores in a golf tournament. If the mean is 70 with a standard deviation of 4.9, circle all values with a z-score greater than 0.5
{63, 64, 65, 67, 70, 71, 73, 73, 76, 78}
Answers
Answer:
70 is the anwer I got I am so sorry if that was wrong but it should be right
An online pet store offers the hamster house shown in the figure below.
Choose all of the expressions that could be used to find the volume of the hamster house.
Answers
I think C but I’m not for sure sorry
i need help on this no links please
Answers
Answer:
good morning has been a man shsStep-by-step explanation:
yes a o vaccine
Rectangles
H
J
K
L
and
H
′
J
′
K
′
L
′
are shown on the coordinate plane.
Which statement describes a sequence of transformations that can be used to verify that rectangle
H
J
K
L
is similar to rectangle
H
′
J
′
K
′
L
′
?
Dilate rectangle
H
J
K
L
by a scale factor of
2
about the origin, then translate it
12
units down.
Dilate rectangle H J K L by a scale factor of 2 about the origin, then translate it 12 units down.
Dilate rectangle
H
J
K
L
by a scale factor of
2
about the origin, then reflect it across the
x
-axis.
Dilate rectangle H J K L by a scale factor of 2 about the origin, then reflect it across the x -axis.
Dilate rectangle
H
J
K
L
by a scale factor of
1
2
about the origin, then translate it
12
units down.
Dilate rectangle H J K L by a scale factor of 1 2 about the origin, then translate it 12 units down.
Dilate rectangle
H
J
K
L
by a scale factor of
1
2
about the origin, then reflect it across the
x
-axis.
Answers
Answer: rectangles are congruent if both of them have the opposite sides are equal
Step-by-step explanation: rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.
Answer: rectangles are congruent if both of them have the opposite sides are equal
Step-by-step explanation: rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.
The population of a city was 60,000 in 2015 and 63,000 in 2016. The percent increase in the population from 2015 to 2016 was the same as it was from 2016 to 2017. What was the population of the city in 2017?
Answers
Answer:
The population will be 66150.
Step-by-step explanation:
3000 / 60000 = 0.05 (5% Increase)
60000 X 1.05 = 66150
Answer: Kentwood, Michigan had a population of 49,000 in the year 2013. The infrastructure of the city allows for a carrying capacity of 60,000 people. rmax ...
and the link mite help
Step-by-step explanation:Hope it helps you.
Convert: 92 ounces = _____ pounds _____ ounces
A. 5 pounds 2 ounces
B. 9 pounds 2 ounces
C. 1,472 pounds 0 ounces
D. 5 pounds 12 ounces
Answers
1 pound = 16 ounces
maybe brainliest IF IT iS RIGHT;))
You resize a picture so that the radius of the midday Sun appears four times larger. How much larger does the circumference of the Sun appear?
The circumference appears (BLANK) times larger.
Answers
Answer:
The circumference appears four times larger.
Step-by-step explanation:
C=2πr
So if we are multiplying the radius (r) by 4 then that would most definitely increase the outcome (circumference) by 4
here's why:
C=2πr
C=2π(4r)
C=8πr
So,
8πr/2πr = 8/2 = 4
Hope this helps! ;)
A corner store sells 60-watt bulbs in packs of 4.
Write an equation that shows how the number of bulbs in stock, y, depends on the number of packages, x.
Answers
Answer: y = -4x + 60
Step-by-step explanation:
we can use a simple linear equation to write this problem:
y = mx + b
The slope is given to be the number of bulbs in each pack, which is 4.
now we have: y = 4x +b
The value of b is the y intercept, or the starting value, 60. From this value, 4x can be subtracted to show our remaining bulbs in stock:
y = 60 - 4x
Writing this in the form y = mx+b gives us the equation:
y = -4x + 60
Answer:
y = 4x
Step-by-step explanation:
A corner store sells 60-watt bulbs in pack of 4.
x = number of packs
y = number of bulbs
y = 4x
Check your answer using the problem:
60 = 4x
/4 /4
12 = x
This means that there are 12 bulbs in each pack.
Hope this helps!
This diagram shows a park's walking path in the shaded area.
The outside circumference of the walking path is 62.8 meters and the inside circumference of the walking path is 31.4 meters.
What is the area of this walking path?
Use 3.14 for π.
Enter your answer as a decimal in the box.
Answers
Answer:
197.192
Step-by-step explanation:
62.8x3.14=197.192
pls help
Sherwin has twice as many stamps as his friends Allan and Gene combined. Allen has 55 stamps in his collection. Sherwin has 200 stamps in his collection.How many stamps does Gene have in his collection?
The equation 2 (x + 55) = 200 models this situation. which choice shows the sequence of operations needed to solve this problem, using both arithmetic and alegbra?
Answers
Answer:
1: Gene has 45
2: C
Step-by-step explanation:
C gets you to 45.
I don't have to explain #1 because #2 explains the equation.
Ages
The ages of 10 different students in a college math class were used to make the box plot shown above. Which of the sets of ages below matches the given box plot?
A.
Ages: 18, 19, 19, 20, 20, 20, 21, 22, 22, 26
B.
Ages: 18, 19, 20, 20, 20, 20, 21, 22, 22, 26
C.
Ages: 18, 19, 19, 20, 21, 21, 21, 22, 22, 26
D.
Ages: 18, 19, 19, 20, 20, 20, 21, 21, 22, 26
Answers
Answer: It would be A
Step-by-step explanation:
First: Find Median
18,19,|19|,20,|20,20|,21,|22|,22,26
there is 10 numbers so it would be between 20 and 20. Add 20 and 20 and you will get 40 and divide by 2 to get 20. Your median is 20 and the dot should be on top of the 20.
Second: Find Quartile 1 and 3
Since it’s 5 numbers on each side, the math is friendly. So you count the first 2, then circle the next number and count the last 2. The one you circled is your Quartile 1 and do the same for Quartile 3. Q1 should be 19 and Q3 should be 22. Check if they are underneath that number you got.
Last: now you know that you just have to find the median and the Q1 and Q3 and you should get the answer which is A.
Please help!!!!!!!!!!!!
Answers
Answer:
38
Step-by-step explanation:
It is the highest value in the number line-up :)
Have a great day!!
Please rate and mark brainliest!!
Answer:
38
Hope this helps
During a sale, a clothing store discounts all prices by the same percentage. A pair of jeans is marked down from $45 to $33.75. What is the sale price for a $65 sweater after the same discount is applied?
Answers
Answer:
48.75
Step-by-step explanation:
33.75 is 75% of 45
So price of sweater is 75% of 65, or 25% less which is 48.75
i needd helppp plss and tyyy
Answers
Answer:
area : 0.0001539 square kilometers (km²) 153.9 square meters (m²)
Step-by-step explanation:
A circle of radius = 7 or diameter = 14 or circumference = 43.98 meters has an area of: 0.0001539 square kilometers (km²) 153.9 square meters (m²)
hope that helps
A __________ is the amount of energy needed to raise the temperature of one __________ of water, ________ degree celcius.
Write the correct words for those missing above (there are two possible correct answers).
Your answer:
Answers
Answer:
calorie, gram, 1
Step-by-step explanation:
this is what I know, good luck:)
Specific heat capacity is the amount of energy required to raise the temperature of 1kg of one degree of any substance ( including water) by one degree Celsius
Hope this helps xx
Which expression is equivalent to 10/−9?
Answers
Answer:
-10/9
Step-by-step explanation:
the sign would still be negative since positive and negative still make negative for both fractions after dividing:
10/-9 would equal -1.1111
-10/9 would equal -1.1111
:) hope that helped
Answer:
-10/9
Step-by-step explanation:
i need helppppp can u explain this
Answers
Answer:
1. 2^5
2. 5^2
3. 3^4
4. 4^3
5. 6^3
6. 3^6
Please give brainliest!!
Answer:
1. 2^5
2. 5^2
3. 3^4
4. 4^3
5. 6^3
6. 3^6
Step-by-step explanation:
Use the number line to answer the question.
Answers
Answer:
2.23
Step-by-step explanation:
The reason why this is your answer is that this number is between 2 2/10 and 2 3/10. That means that turned into decimals, this number will be somewhere between 2.2-2.3
Now, we can see that this is 3 units away from 2 2/10 on the number line, which tells us that the decimal is 2.23
So hence, your answer is 2.23
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If you see someone without a smile, give them one of yours!
Thanks!
Have a great day!
:D
The boys track team needs to keep a count of how many laps they run at practice so they know the distance. Each lap is 400 meters. What is the difference between the teammate who ran the furthest and the teammate who ran the least distance?
Answers
Answer:
I think the difference in distance is 4000 meters / 10 laps.
Step-by-step explanation:
you multiply the number of laps that they ran and then subtract the products with each other and get the meter answer
or you could just subtract the laps and get your lap answer and then multiply that by 400 to also get the same meter answer
im not sure if im right tho so good luck
need helppp i dont know this
Answers
3^-2=1/9
(1/3)^-2= 9
2^4=16
4^2=16
4^-3=1/64
solve for angle 1 i got an answer but i dont know if it’s right
Answers
Answer:
73
Step-by-step explanation:
72 - 35 = 107
180 - 107 = 73
107 + 73 = 180
Correct me if I’m wrong :))
Please Help!
Compare the function represented on the graph and the function modeled by y = 2 3 x. Click to select the TRUE statement(s).
A. The y-intercept of both functions is 0.
B. The slope of both functions is 3 2.
C. The graph's function has a greater rate of change.
D. Point (0, 0) is the point of intersection for the functions.
Answers
A, C, and D.
Explanation:
The y-intercept for the written equation would have to be zero if there is none written in the problem.
They have a different slope and the same y-intercept, so they will intersect on it (which is 0)
The graph’s function has a greater rate of change because it’s slope is 1/2, while the slope for the written equation is 2. (smaller # is a bigger change).
Look at the number 3,939.39 below, as well as the position of each digit in the number.
9
9
Number 3
Position A
3 93
C D
DE
B
F
Fill in each blank below with the correct value. Drag and drop the correct numbers into the blanks.
• The 9 in position B has a value that is
times the value of the 9 in position D
• The 3 in position E has a value that is
times the value of the 3 in position C.
2
HE
11
1
-
3
:: 9
.: 10
100
:: 100
please look at comments i will put an image so you can see
Answers
Answer:
1) 100
2) 100
Please mark BRAINLIEST
Frank left his house at 7 a.m. and drove to the airport at
a speed of 50 mph. Lance left his house at 6 a.m. and
drove to the same airport at a speed of 55 mph. Frank's
house is 150 miles from the airport and Lance's house
is 220 miles from the airport.
At what time did Lance arrive at the airport?
Answers
Answer:
10 AM
Step-by-step explanation:
Frank drove at a speed of 50 mph, and traveled a distance of 150 miles. This means he traveled for 150/50 = 3 hours. 7 AM + 3 hours = 10 AM