Area = side squared
625 = side squared
side = sqrt 625
side = 25 m
perimeter = 4 x side
perimeter = 100 m
Answer:
100 meters
Step-by-step explanation:
In order to calculate the perimeter, we must have the side length.
The area of a square can be found using the following formula.
[tex]a=s^2[/tex]
We know the area is 625 square meters. We can substitute 625 m² in for a.
[tex]625 m^2=s^2[/tex]
We want to find the side length, s. Therefore, we must isolate s. s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{625m^2}=\sqrt{s^2}[/tex]
[tex]\sqrt{625m^2}=s[/tex]
[tex]25 m=s[/tex]
The perimeter of the square can be found using the following formula.
[tex]p=4s[/tex]
We know the side length is 25 meters. We can substitute 25 m in for s.
[tex]p =4*25m[/tex]
Multiply.
[tex]p=100m[/tex]
The perimeter of the field is 100 meters.
In the answer space below, provide one of the two positive integers whose product is 196 and whose sum is a minimum.
Answer:
14
Step-by-step explanation:
The value of two positive integers are 14 and 14.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Product of two positive integers are 196.
Sum of two positive integers are minimum.
Now,
Let two positive integers are x and y.
Since, Product of two positive integers are 196.
So, we can formulate;
xy = 196 ... (i)
And, Sum of two positive integers are minimum.
So, we can formulate;
s = x + y
From equation (i);
y = 196/x
Substitute in above equation, we get;
s = x + y
s = x + 196/x
Differentiate with respect to x as;
d/dx (s) = d/dx(x + 196/x)
ds/dx = 1 - 196/x² ... (ii)
Substitute ds/dx = 0, we get;
ds/dx = 1 - 196/x² = 0
1 - 196/x² = 0
1 = 196/x²
x² = 196
x = ± 14
Differentiate equation (ii) again;
d²s/dx² = 0 - (-2 × 196)/x³
d²s/dx² = 392/x³
At point x = 14,
d²s/dx² = 392/8³ > 0
Hence, At x = 14, the value is minimum.
So, we get;
xy = 196
at x = 14
y = 196/14
y = 14
Hence, The value of two positive integers are 14 and 14.
Learn more about the product visit:
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What are the next 3 numbers in the pattern: 10, 11, 13, 16, 20 ... *
Answer:
25, 31, 38
Step-by-step explanation:
The first differences are increasing by 1 each time. The next differences will be 5, 6, 7, so the next numbers will be 25, 31, 38.
Answer:
The answer is 25 and 31. The pattern is adding the numbers 1, 2, 3 every time it goes up. For example. 10+ 1 = 11, 11 + 2 = 13, 13 + 3= 16, 16+ 4 = 20... and so on. Thus you would add 20 + 5 and get the answer 25. THEN you would add 25 + 6 and get 31.
Answers: 25, 31
Hope that helps
2 to the power of -3 simplified
Answer:
= 1/8 or 0.125
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
A negative x a negative makes a positive
You are choosing between two different cell phone plans. The first plan charges a rate of 22 cents per minute. The second plan charges a monthly fee of $34.95 plus 8 cents per minute. Let t be the number of minutes you talk and C1 and C2 be the costs (in dollars) of the first and second plans. Give an equation for each in terms of t, and then find the number of talk minutes that would produce the same cost for both plans (Round your answer to one decimal place). C1= C2= If you talk for minutes the two plans will have the same cost.
Answer:
249.64285714 minutes
Step-by-step explanation:
Let
The number of minutes you talk = t
C1 = Cost in dollars of the first plan
C2 = Cost in dollars of the second plan
First plan
The first plan charges a rate of 22 cents per minute
Converting cents to dollars
100 cents = 1 dollars
22 cents =
22/100 cents
=$ 0.22
C1 = $0.22 × t
C1 = 0.22t
Second Plan
The second plan charges a monthly fee of $34.95 plus 8 cents per minute.
Converting cents to dollars
100 cents = 1 dollars
8 cents =
8/100 cents
=$ 0.08
C2 = $34.95 + 0.08t
Find the number of talk minutes that would produce the same cost for both plans
We would Equate C1 to C2
C1 = C2
0.22t = $34.95 + 0.08t
Collect like terms
0.22t - 0.08t = $34.95
= 0.14t = $34.95
Divide both sides by 0.14
= t = $34.95/0.14
t = 249.64285714
Therefore, the number of talk minutes that would produce the same cost for both plans is 249.64285714 minutes.
absolute value of -3 |xy|
Answer:
|-3| = 3
Step-by-step explanation:
A fitness center offers boxing classes for $15 per class and sells a set of boxing gloves for
$15.95. Josh paid a total of $135.95 to the fitness center for boxing classes and a set of gloves.
How many boxing classes did Josh attend?
Answer:
8
Step-by-step explanation:
total paid: $135.95
cost of gloves: $15.95
amount for classes: $135.95 - $15.95 = $120
cost of each class: $15
number of classes: $120/$15 = 8
Answer: 8 classes
1/9 + 1/9 = * Your answer This is a required question
Answer:
2/9 obvi
Step-by-step explanation:
Martin decided to buy 2 bags of grapes weighing 5 and two-thirds pounds each, instead of the 3 bags weighing 4 and one-fifth pounds each, because the bigger bags were on sale. Did he end up with more grapes or less grapes by buying the bigger bags?
Answer:
Martin ended up buying less grapes by buying the bigger bag.
Step-by-step explanation:
5 ⅔ + 5 ⅔ = 10 4/6
4 ⅕ + 4 ⅕ + 4 ⅕ = 12 3/15
Answer:D
Step-by-step explanation: hope this helps
What is the slope between the points (3,1) and (4,-1)
Answer:
Step-by-step explanation:
(-1 - 1)/(4 - 3)= -2/1= -2
y - 1 = -2(x - 3)
y - 1 = -2x + 6
y = -2x + 7
Answer:
-2
Step-by-step explanation:
-1 -1
4-3
-2/1= -2
What is the following expression when simplified 5x + 8(5 + 2x)?
Answer:
5x+56
Step-by-step explanation:
5x+8(5+2)
5x+8(7)
Lani’s father is paying for a $20 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied to the discounted price. What does Lani’s father pay for the meal? $_________
Answer:
18.19
Step-by-step explanation: hope this helps
divide 0.12 by 0.04. That means we want to find out how many times 0.04, or four-hundredths, goes into 0.12, or twelve-hundredths.
Answer:
3
Step-by-step explanation:
0.12 ÷ 0.04
if we want to calculate without calculator ,
multiply both nenominator and denominator by 100;
Then,
(0.12×100)÷(0.04 ×100)
= 12÷4
= 3
True or False: If your expression contains more than one set of parentheses, you should evaluate all of them before doing anything else.
what is a two variable linear equation
Answer: Linear equations in two variables. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
It's an equation that has two variables
that's to say it has x and y (generally)
it is linear when you graph it, it forms a line and that only happens when the mayor exponent is one
so
[tex](something_1)x^{1}+(something_2)y^{1} =(something_3)[/tex]
notice all the something are completely different
or you could find it as
[tex]y=mx+b[/tex]
where m is the slope
and b some number
so that's it
2/3 of a number -11. Please help
Answer:
(2/3)x = -11
x = -33/2
Step-by-step explanation:
2/3 of a number is -11.
Let the unknown number be x.
2/3 of x is -11.
(2/3)x = -11
Multiply both sides by 3/2.
(3/2)(2/3)x = (3/2)(-11/1)
x = -33/2
2/m-5=3/m+5 solve for m
Answer:
-1/10
Step-by-step explanation:
Answer: m= −1 /10
Step-by-step explanation:
2 m −5= 3 m +5
2 m +−5= 3 m +5
Multiply all terms by m and cancel:
2+−5m=3+5m
−5m+2=5m+3(Simplify both sides of the equation)
−5m+2−5m=5m+3−5m(Subtract 5m from both sides)
−10m+2=3
−10m+2−2=3−2(Subtract 2 from both sides)
−10m=1
−10m
−10
=
1 −10
(Divide both sides by -10)
m= −1 /10
Check answers. (Plug them in to make sure they work.)
m=
−1 /10
(Works in original equation)
m= −1 /10
Which of the following statements is true
regarding the solutions to the quadratic
equation 5x2 + 6x + 2 = 0?
Answer:
c. This quadratic equation has two complex solutions.
Step-by-step explanation:
Of the choices ...
a. This quadratic equation has exactly one real solution.
b. This quadratic equation has two real solutions.
c. This quadratic equation has two complex solutions.
d. This quadratic equation has no solutions.
The one that is true is c: two complex solutions.
__
The discriminant of quadratic ax^2 +bx +c = 0 is ...
d = b^2 -4ac
For this quadratic, the value is 6^2 -4·5·2 = -4.
When the discriminant is positive, there are two distinct real solutions.
When the discriminant is zero, there is one real solution.
When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.
How I can solve this quadratic equation using the quadratic formula? x2 + 4x = 5.
Answer:
Step-by-step explanation:
x^2 + 4x - 5 = 0
-4/2 + (sqrt(16 - 4(1)(-5)))/2
-2 + (sqrt(16+20)/2
-2 + (sqrt(36)/2
-2 + 6/2
-2 + 3
-2 + 3 = 1
-2 - 3 = -5
2(x + 4) = 4x + 3 - 2x + 5
Must show all work for 15 points
Answer:
Hey there!
a)
10x-1=4x+2
6x-1=2
6x=3
x=1/2 cm.
10x-1=4 cm.
So the width of the rectangle is 10/4, or 2.5 cm.
b)
l=3w
2l+2w=24
2(3w)+2w=24
6w+2w=24
8w=24
w=3
l=9
The are is 27 units squared.
Let me know if this helps :)
HELLPPPPPPP ASAPPPP PLEASEEEE
Answer:
2. f(-7)= -3(-7)-2
21-2
=19
10. h(1)= | 1-7(1) |
|-6|
=6
11. h(-7) =|1-7(-7)|
|1-49|
|-48|
=48
12. [23-h(9) =|1-7(-9)|]
h(9) =|1-7(9)|
|-62|
23-62
=39
Step-by-step explanation:
The size of a playground is 160 feet by 360 feet. A model is created that measures 4 inches by 9 inches. Is it a rate, ratio only or a proportion?
Answer:
The model is made in a 1:40 ratio
Step-by-step explanation:
How many times is 4 multiplied to be equal to 160?
4(x) = 160
X = 160 / 4
X = 40
The proportion, rate, and ratio are almost the same.
They represent the correspondence between the parts and the whole since they all express a binary relationship between the quantities, that is, objects, people, tablespoons.
If the ratio is 1: 2 it could be read that for every 1 there are 2.
For example 1: 2 cups; For every cup of something there are 2 cups of something else.
In this case, 1:40; For every inch of the model, there are 40 feet in the playground.
Help plzzzz I need help ASAP thank you
Answer:
D
Step-by-step explanation:
Admission to the fair costs $5. Each ticket for a ride costs $1.50. You have $20 to spend at the fair on admissions and rides. Express the number of tickets you can buy as an inequality.
S=Ut + 1\2 at^2
U=10 a=-2 t=1\2
Work out the value of S
Hope u guys get this!
what is 3 3/4 as a decimal
Answer:
3.75
Step-by-step explanation:
Answer: 3.75
Step-by-step explanation: 3/4=.75 so add 3 and you get 3.73
Round to the nearest hundred thousand. 636,665
Answer:
600,000
Step-by-step explanation:
I think that it will be 600,000 because the 3 is below 5 which you can not round anything that is below 5.This what I look at when i Round and it may or may not be helpful to other people:
5 or more raise the score
4 or less let it rest
That is what I learned.
Central Park in New York City is shaped like a rectangle. On a map of the park
in the coordinate plane, three of the vertices are located at (-1.25, -0.25),
(-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the
perimeter of Central Park? Show your work,
Answer:
6
Step-by-step explanation:
Given that the coordinate plane, three of the vertices of the rectangle are located at (-1.25, -0.25),
(-1.25, 0.25), and (1.25, 0.25)
The length L of the shape will be:
L = 0.25 - ( - 0.25 )
L = 0.25 + 0.25
L = 0.5
The width of the shape will be:
W = 1.25 - ( - 1.25)
W = 1.25 + 1.25
W = 2.5
Perimeter P = 2L + 2W
Substitute the Length and the width into the formula
P = 2(0.5) + 2(2.5)
P = 1 + 5
P = 6 metres
Therefore, the perimeter of the shape is 6 metres
4 - 3x = 8 - 4x Plz answer this question
Answer:x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4−3x=8−4x
4+−3x=8+−4x
−3x+4=−4x+8
Step 2: Add 4x to both sides.
−3x+4+4x=−4x+8+4x
x+4=8
Step 3: Subtract 4 from both sides.
x+4−4=8−4
x=4
Answer:
x=4
Step-by-step explanation:
4-3×=8-4x
4-8=-4x+3x
-4=-×
x=4
(both side have negative so you just cancel out the negative sign)
3(x−2)=9 :solve for x?
Answer:
x=5
Step-by-step explanation:
3(x−2)=9
Divide both sides by 3.
x-2=9/3
Divide 9 by 3 to get 3.
x−2=3
Add 2 to both sides.
x=3+2
Add 3 and 2 to get 5.
x=5
Answer:
5
Step-by-step explanation: