A rectangular field is 10m longer than wide. The area of the field is 2000m². Find the perimeter of the field.
Answers
Answer:
180m
Step-by-step explanation:
Let L = length of field,
W = width of field,
A = field area = 2000 m^2
Lenght = Width + 10m
Let Lenght= x
Width=y
A = X ×Y = (Y + 10)Y= 2000
Y^2 + 10Y- 2000 = 0
Solving using Quadratic eqn with plot
Y= 40 or -50 but we go for the positive root
Width=40m
Length= 40m +10m
= 50m
Perimeter= 2(l+w)
=2(50+40)
180m
Hence, the perimeter is 180 m
CHECK THE ATTACHMENT FOR THE QUADRATIC PLOT
Related Questions
Please help me if you are good at math!
Answers
1, 6, 36, 216: Geometric
12, 4, -4, -12: Arithmetic
1, 2, 8, 64: Neither
-216, -72, -24, -8: Geometric
Explanations:
Arithmetic Sequence: Every number in the sequence is either added or subtracted by the same number. We know that 12, 4, -4, -12 is arithmetic because each number in the sequence is subtracted by 8.
Geometric Sequence: Every number in the sequence is either multiplied or divided by the same number. We know that 1, 6, 36, 216 is geometric because each number in the sequence is multiplied by 6. We also know that -216, -72, -24, -8 is geometric because each number in the sequence is being divided by 3.
Neither: 1, 2, 8, 64 is neither because it is not being added, subtracted, multiplied, or divided by the same number.
I hope this helped!
The sum of 3 times a number and 5 is equal to 9.
Answers
Answer:
Let x equal “a number”
3x+5=9
Answer:
x = 4/3 or 1.33333333333333333333333(infinite 3)
Step-by-step explanation:
3 times a number = 3x
sum = addition
3x + 5 = 9
now balance equation, get numbers without x on same side. Subtract 5 from both sides, this will leave 3x on one side, and 9-5 on the other side.
3x = 4, now divide by 3 on each side to get x on one side
3x/3 = 4/3
x=4/3
4/3 = 1.33
3 x 1.33 +5 = 9
If x and y vary inversely and x = -3 when y = 12, what is the constant of variation?
Answers
k=-36
Step-by-step explanation:
x inversely proportional to y
x=1k/y
where k = constant
x= -3, y= 12, k = ?
-3=k/12
k = -3 × 12
k = -36
2. Solve for the x.
8
16
7
Answers
Answer:
Theres no equation here?
Step-by-step explanation:
Can someone please help me?
Answers
Answer:
yes
Step-by-step explanation:
Find the degree of the polynomial -m^6-10m^3
Answers
Answer:
We conclude that:
The degree of the polynomial is 6.Step-by-step explanation:
Given
Given the polynomial
[tex]-m^6-10m^3[/tex]
To determine
The degree of the polynomial
In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.
In our case,
The exponents of the terms of this polynomial are, in order, 6, and 3.
Thus, the highest degree (larger exponent) of the term is 6.
Therefore, we conclude that:
The degree of the polynomial is 6.2. Which of the following compositions of transformations would NOT map quadrilateral ABCD onto A'B'C'D'?
Answers
Answer:I picked 4
Step-by-step explanation:
.
Evaluate the expression when $a=3$ and $c=12$ . plzz help meeee
Answers
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FU=-v+
Of(x) = - 3x + 4
o f(x) = -x +
Of = -3y + 4
Answers
Answer:
9x + 3y = 12
3y = -9x + 12
y = -3x + 4
f(x) = -3x + 4
Step-by-step explanation:
I hope it's help
What is the product? StartFraction 4 k + 2 Over k squared minus 4 EndFraction times StartFraction k minus 2 Over 2 k + 1 EndFraction StartFraction 4 Over 2 k + 1 EndFraction StartFraction 2 Over k minus 2 EndFraction StartFraction 2 Over 2 k + 1 EndFraction StartFraction 2 Over k + 2 EndFraction
Answers
Answer:
[tex]\frac{2}{k+2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]
We are to find the product as shown:
[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]
Hence the required function is [tex]\frac{2}{k+2}[/tex]
d. StartFraction 2 Over k + 2 EndFraction
aka
d. 2/k+2
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more did he run in February than in January?
Answers
Answer:he ran 23 miles / XXIII miles more in February than March
Step-by-step explanation:
February = He ran XLVII --- converting to numbers becomes
XL= 40
VII= 7
XLVII= 47
In march he ran XXIV--- converting to numbers becomes
XX= 20
IV= 4
XXIV= 24
Step 2
To find how many more he ran in February than March
Miles ran in February - Miles ran in March
47- 24=23.
Therefore he ran 23 miles / XXIII miles more in February than March
Answer:
pretty much answer c
Step-by-step explanation:
Please help me with number 15. If you could provide work, that would be great.
Answers
x[tex]x^{2} -10x+9--->use AC method---->(x-9)(x-1)[/tex] i think
Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake
costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon
cakes can she buy?
Set up and solve a system of linear equations to model how to determine the number
of lemon cakes Jasmine can buy for the party.
Answers
Answer:
Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.
one chocolate cake=?=x
one lemon cake=?=y
$270 spent
need to buy total of 18 cakes
1-chocolate cake =$7
lemon cake = $5
cakes 18=x+y
money $110=$7x+$5y
When i graphed it on the demos calculator i got (10,8).
So 10= the number of chocolate cake brought and 4= the number of lemon cake brought
Solve the following compound inequality: 3<-2x-137.
a. -2
c. -1 <
b. -2>x2-4
d. -1 >x2-3
Answers
Answer:
Step-by-step explanation:
Here you go mate
PEDMAS
STEP 1
3<-2x-137 equation
STEP 2
3<-2x-137 simplify by reversing equation
-2x-137>3
STEP 3
-2x-137>3 simplify
-2x>140
step 4
-2x>140 look for a number that can divide the two numbers like 2
-2x /-2 > 140 /-2
1>-70
answer
x>-70
A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. y = 4x+2, y = 2r+8 What is the value of the smaller number in the mathematical problem?
Answers
Answer:
3
Step-by-step explanation:
I got it wrong so then it told me what the correct answer was:)
A bag contains cards numbered from 1 to 14 one card is drawn at random find the probability of
a.) Selecting a prime number of a multiple of four
b.) selecting a multiple of two or a multiple of three
Answers
Answer:
One: P = 1/2 = 0.5
Two: P = 8/14 = 4/7 = 0.714
Step-by-step explanation:
One
I take it that the question is a prime number or 4.
P(four) = 1/14
The primes are 2,3,5,7,11,13. There are 6 of them
P(prime) = 6/14
P(prime or four) = 6/14 + 1/14 = 7/14 = 1/2
Two
Multiple of 2 := 2 4 6 8 10 12 14
Multiple of 3 := 9 in addition to 6 and 12 which cannot be counted twice.
P(2 or 3) = 8/14 = 4/7 = 0.714
What is the first step in solving x^2 +14x-43=3 completing the square?
Answers
Answer:
Step-1 : Multiply the coefficient of the first term by the constant
Step-by-step explanation:
Answer:
step 1 = Subtract 3 from both sides
step 2= Use quadratic formula with a=1, b=14, c=-46
Answer to the equation = x=−7+√95 or x=−7−√95
27 = -3x - 9 plssss helppp
Answers
Answer:
x = 1-2
Step-by-step explanation:
27 = - 3x - 9
36 = -3x
-12 = x
x = -12
Step-by-step explanation:
27+9=-3x
36=-3x
36 divided by -3=x
-12=x
20 points!
Just need help on these questions
I will try to mark brainliest!
Answers
Answer:
the first one is 45% I don't no the second one
A handful of coins has the value of 1 dollar and 79 cents. There are three times as many dimes as quarters, and five more pennies than dimes. If there are only three types of coins, how many coins of each type are there?
Answers
Answer: There are 3 quarters , 9 dimes and 14 pennies.
Step-by-step explanation:
Let x= Number of quarters
Then, Number of dimes = 3x
Number of pennies = 3x+5
1 quarter = $ 0.25
1 dime = $0.10
1 penny = $ 0.01
So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)
= 0.25x+0.30x+ 0.03x+0.05
= 0.58x+0.05
Since Total amount = 1 dollar and 79 cents = $ 1.79 [1 cent = $ 0.01]
So,
[tex]0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=\dfrac{1.74}{0.58}\\\\\Rightarrow x=3[/tex]
Thus, there are 3 quarters , 9 dimes , 14 pennies.
Answer:
Step-by-step explanation:
there are 3 quarters , 9 dimes , 14 pennies.
f(x)=x^3+9x^2+23x + 15
Answers
Solve for the unknown variable
Answers
Answer:
Step-by-step explanation:
ayo
Gasoline costs $3.65 a gallon Which is an estimated cost of 14.2 gallons of gasoline?
Answers
Answer:
the answer is $51.83
Step-by-step explanation:
Answer:
40 or 56 because 3.65 x 14.2 is gonna equal 51.83
help help help ( I WILL MARK YOU AS BRAINLIEST )
Answers
Over what interval is the function nonlinear?
Answers
Answer:
Step-by-step explanation:
3rd one
Find the area of the shape. Need an answer immediately.
Answers
Answer:
A= 113.1 (I rounded my answer)
Step-by-step explanation:
A=πr^2=π·6^2=113.09734
A garrison of 120 people had enough food for 30 days. If 20 people leave the garrison after 10 days, how long do the remaining provisions last?
Answers
Answer:
We know that no. of days is inversely propotional to the provision for men.
So for 120 men the provision would last for 30days. (given)
Therefore, the provision for 1 men would sustain for. 120 *30 = 3600 days.
Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days
A.t.q 120*30 = 120*5+125*x
(120*30) - (120*5)= 125x
120(30-5)=125x
120 * 25 = 125x
120 = 5x
x=120/5
x= 24
so the provision would remain for more 24 days.
A model village is built to scale.
It has a scale of 1 : 19.
A road has a real-life length of 1.14 km.
What is the length of the road in the model village in m?
Answers
Answer:
The length of the road in the model is 60 m.
Step-by-step explanation:
Given: scale = 1:19
real-life length of the road = 1.14 km
= 1140 m
Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.
Scale = [tex]\frac{length on drawing}{actual length}[/tex]
The actual length is the real-life length given as 1140 m.
So that,
[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]
19d = 1140
⇒ d = [tex]\frac{1140}{19}[/tex]
= 60
Therefore, the length of the road in the model is 60 m.
jessie served 13 pints of orange juice at her party
how many quarts of orange juice did she serve
Answers
Answer:
6 1/2
Step-by-step explanation:
Answer:
6.5 quarts.
Step-by-step explanation:
This is rather simple math because 2 pints equal 1 quart. You divide 13 by 2, which is an uneven number so you are guaranteed a half, and you get 6.5
pleaseeee help its due today :(
thank you in advance <3
Answers
Step-by-step explanation:
y = 1 / (cx + a) - b
At the x-axis intercept, y = 0.
=> 1 / (cx + a) - b = 0
=> 1 / (cx + a) = b
=> b(cx + a) = 1
=> bcx + ab = 1
=> bcx = 1 - ab
=> x = (1 - ab) / (bc)
Hence the answer is Option B.