Answer:
50 ft * 25 ft
Step-by-step explanation:
Let the length of the rectangular area be x ft and the width of the rectangular area be y ft. You already have 100 ft of material for fencing. Also one side of your house is used in fencing.
The perimeter of the fence needed = x + 2y
Therefore:
100 = x + 2y
x = 100 - 2y
Also the area of the rectangular fence is:
Area (A) = length * breadth
A = xy
Substitute x = 100 - 2y
A = (100 - 2y)y
A = 100y - 2y²
Maximum area is at dA / dy = 0. Hence:
dA/dy = 100 - 4y
100 - 4y = 0
4y = 100
y = 25 ft
substitute value of y in x:
x = 100 - 2y = 100 - 2(25) = 100 - 50 = 50 ft
x = 50 ft
The dimension of the rectangular space is 50 ft * 25 ft
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Answer:
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Answer:
1st one
Step-by-step explanation:
if you try out 710 divided by 7 times 3 it doesn't equal 390 dollars, so you're not getting a fair price and you're paying extra, whereas you know on the first one that if you double 360 by 2 it equals 720 so it is a linear pricing
The height of a tree when planted is 1.1m. One year later the height of the tree is 1.9m. Calculate the percentage increase in the height of the tree over a year
Answer:
72.7273%
Step-by-step explanation:
Just divide 1.9/1.1 and get 1.7273 which is equal to around 72%
Mathematics question
Answer:
Step-by-step explanation:
KL=1/2 YX=1/2×56=28
YZ=2JK=2×38=76
LZ=1/2YZ=1/2×76=38
Make three contrectic circles with radius is 2.4cm,3.8cm and 5.4cm
Answer:
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Which algebraic expression has a term with a coefficient of 9
Answer:
an algebraic expression that has a term with a coefficient of 9 is
9(x +14)
9x + 126
Un comerciante dispone de USD 300 y necesita comprar cierta cantidad de papas y arroz. El quintal de papas cuesta USD 15 y el de arroz, USD 40. Si debe llevar 5 quintales de arroz y la capacidad máxima de su camioneta es de 20 quintales, ¿Cuántos quintales de papas puede llevar como máximo? Escribe tu respuesta como un número entero.
Answer:
23
Step-by-step explanation:
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Will give Brainliest!!!
Answer:
98 degrees
Step-by-step explanation:
Since angle LON is a straight angle, that means its measure is 180 degrees. So, the two angles that make up angle LON add up to 180. You can create the following equation:
(3x + 89) + (8x + 58) = 180
Then, add like terms.
3x + 8x = 11x
89 + 58 = 147
11x + 147 = 180
Subtract 147 from both sides.
11x = 180 - 147
Add like terms.
11x = 33
Now, divide by 11 on both sides.
x = 3
Since we now have the value of x, we can plug it into the equation to find angle MON:
MON = 3x + 89
Substitute 3 for x
MON = 3(3) + 89
MON = 9 + 89
MON = 98
Jayden and Derek go to Chipotle. Jayden gets a burrito for $7.49 and Derek gets a lifestyle bowl for $8.29. They each get a drink for $1.79. If they have to pay 8% tax on their meal, what will the total cost be?
Answer:
$18.97
Step-by-step explanation:
Add $7.49, $8.29, and $1.79 together= $17.57.
Then, add the 8% tax. So $17.57+8% of tax= $18.97.
Peter has 25 chickens. His uncle has 60 times as many. How many chickens does his uncle have?
25 x 60 = 1,500 chickens
Answer:2400
Step-by-step explanation:
h=l/l-2k make k the subject
Answer:
[tex]k=\dfrac{l(h-1)}{2h}[/tex]
Step-by-step explanation:
The given equation is :
[tex]h=\dfrac{l}{l-2k}[/tex] ....(1)
We need to find the value of k.
Cross multiplying equation (1)
[tex]h(l-2k)=l\\\\hl-2hk=l\\\\hl-l=2hk\\\\k=\dfrac{l(h-1)}{2h}[/tex]
So, the value of k is equal to [tex]\dfrac{l(h-1)}{2h}[/tex].
At a book sale, all paperback books cost d dollars each and all hard books cost 2d dollars each. If Kate paid 7d dollars for 5 books at this sale, how many paperback books did she buy?
Answer:
3 paperback books
Step-by-step explanation:
Let the number of paperback Kate bought be a and the number of hard books be b.
Given that she bought 5 books then
a + b = 5
Also, If Kate paid 7d dollars then
a * d + b * 2d = 7d
Divide through by d
a + 2b = 7
Hence we have 2 equations
a + b = 5
a + 2b = 7
subtract the first from the second
2b - b = 7 - 5
b = 2
since
a + b = 5
a + 2 = 5
a = 5 - 2
= 3
Recall that the number of paperback she bought is a hence this is 3
What is the sign of the product of any odd number of negative integers? Explain your reasoning.
Answer:
If there are an even number (0, 2, 4, ...) of negative factors to multiply, the product is positive. If there are an odd number (1, 3, 5, ...) of negative factors, the product is negative.
Step-by-step explanation:
Answer:
bhfxhxffkgflcvcjgcigcicyouocuofofuogpuphi the questions I will send
what is the LCM of 7 and 10
Answer: The answer is 70
Step-by-step explanation:
Pls help I really need a good grade on this
Answer:
the 1st one. the unit rate is $21.00
raquel jogged for 1 hour. She ran 6 miles. what was her speed in miles/hour?
Answer:
7 hours
Step-by-step explanation:
yw :)
3y+6/2x y=4, and x=3
Answer:
I believe the answer is 21
Step-by-step explanation:
3•4+6/2•3
12+3•3
12+9=21
How many terms are in the following expression?
2x+4y+8-2
Answer:
3
Step-by-step explanation:
In this expression, the first term is 2x, then 4y, then 8-2 (which simplifies to 6).
The probability of rolling a 6 with a six-sided number cube is 1/6 Choose the
likelihood that best describes the probability of this event.
Answer:
UNLIKELY
Step-by-step explanation:
Given that:
Probability of rolling a six with a six sided nuner cube = 1/6
Required outcome / Total possible outcomes
Number of 6 / total sides of number cube = 1/6
The probability value obtained shows that there is a chance of getting a six ; however it is possible at about once in every 6 rolls of the dice.
Hence getting a six isn't impossible but the chance is small. A probability of 1/6 is the smallest that can be obtained for any of each number on the dice. Hence, it could be said that the likelihood is 'UNLIKELY'
Answer:
The answer is B
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
Find the area of the composite shape.
A. 79.25
B. 71.4
C. 197
D. 394
work please if u can)
Answer is "c" cause it is
Consider the diagram.
What is the length of segment AB?
On Joseph’s bookshelf there are:
8 books about animals
4 books about countries
12 books about cooking
6 books about sports
Joseph chooses a book at random looks at it and places it back on the shelf. He then
Which graph represents the function ƒ(x) = 3|x – 1|?
Answer choices are on the pictures above
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A barbeque restaurant serves four meats brisket chicken ribs and turkey how many two meat combo can be served for the luncheon plate
Answer:
Step-by-step explanation:
6
Which statement is true about the angle bisectors of a triangle?
Answer:
Follows are the solution to the given question:
Step-by-step explanation:
There are missing details, which is why its solution is as follows:
When an angle bisector points so, its two sides of the corner are equidistant. Its corner bisector of a triangle angle is a straight line splitting its angle into two congruent directions. In such a single point, calling its incentives, follow three-angle engineers are required of its three triangle angles.
The cost of insurance for your car is 23% of the cost of your new car. The new car costs $20,000. What's the cost of your insurance for the first year?
$460
$920
$230
Answer:
$460
Step-by-step explanation:
Because if you put 23% over 100 and multiply it by 20,000 you should get that
Help please I’m not good at math
Answer:
1,680
Step-by-step explanation:
We know a hummingbird beats its wings 420 times in 30 seconds. To find the unit rate, divide 420 by 30.
420/30
42/3
14 beats/second
Now we know a hummingbird beats its wings 14 times in 1 second. Two minutes equals 120 seconds. Multiply 14 by 120 to get the answer here.
14 * 120
(14 * 12) * 10
168 * 10
1,680 beats
Answer:
1680
Step-by-step explanation:
From the table, we can see that per each 30 seconds, a mocking bird flaps its wings 420 times.
Each minute contains 60 seconds. Therefore, in order to calculate the number of times a mockingbird flaps its wings in 2 minutes, we can
60 seconds x 2 minutes = 120
Then, we can divide this number by 30 to figure out how many times we need to multiply 420 to get our answer.
120/30 = 4
Therefore,
420 x 4 = 1680
А
is 35% of
B.
then
B
А
is 65:35.
Find 35% of 65, since A= 35 and B= 65.
35%=.35
Multiply that by 65, for the percentage.
65*.35= 22.75
So, 35% of 65= 22.75
22.75 is not equal to 35.
This statement is false.
7) An ice cream factory makes 210 quarts of ice cream in 2 hours. How many
quarts could be made in 36 hours? What was that rate per day?
any kind of help would be deeply appreciated!
Answer:
3780quarts, making 105 quarts per day
Step-by-step explanation:
36 is 2x18, so 210x18 equals 3780. divide 210 by 2 to get 105
can someone please help with those. press the picture for all
Answer:
proportional relationship does not exist.
proportional relationship does exist.
proportional relationship does not exist.
proportional relationship does exist.
Step-by-step explanation:
To establish proportionality :
For data 1:
y α x
y = kx ; k = proportionality constant
Take x = 1 ; y = 5
5 = k
k = 5
Hence, to obtain other data points :
y = 5x (if data is proportional ; if otherwise, the data isn't proportional).
Take ; x = 2
y = 5* 2 = 10
10 ≠ 9
Hence, data isn't proportional.
2.)
Data 2:
y α x
y = kx ; k = proportionality constant
Take x = hours 2 ; y = miles = 110
110 = 2k
k = 110/2
k = 55
Take ; x = 5
y = 55*5 = 275
275 = 275 (proportional relationship exist)
3.)
For the graph:
First graph isn't proportional
4 = 2k ; k = 4/2 = 2 ; k = 2
At x = 6
y = 6*2 = 12
From graph ; y = 8 at x = 6
Hence, proportional relationship does not exist.
4.)
For the 2nd graph:
4 = 2k ; k = 4/2 = 2 ; k = 2
At x = 6
y = 6*2 = 12
From graph ; y = 12 at x = 6
Hence, proportional relationship does exist.
