A square garden has an area of 400 square feet. Each side of the garden is (x-10) feet in length.
Write an equation that represents the AREA of the garden
Find the value of x using the square root method
What is the length of the side of the garden?
Answer:
400 = (x - 10)²
x² -20x -300 = 0
x = 30 and x = -10
Length side of the garden = 20 feet
Step-by-step explanation:
Given:
Area of square garden = 400 square feet
Length side of the garden = (x - 10) feet
Find:
Length side of the garden
Computation:
Area of square = side²
Area of square garden = Length side of the garden²
400 = (x - 10)²
400 = x² -20x + 100
x² -20x -300 = 0
x² -30x + 10x -300 = 0
x(x - 30) + 10(x - 30) = 0
(x - 30)(x + 10) = 0
So,
x = 30 and x = -10
Use x = 30 positive number
Length side of the garden = (x - 10) feet
Length side of the garden = (30 - 10) feet
Length side of the garden = 20 feet
5. Becca wants to edge her hexagonal garden
with brick. All sides are equal. The brick costs
$6 per yard. What is the perimeter of the
garden? How much will it cost to buy the
edging she needs?
Answer:
[tex](a)\ Perimeter = 6l[/tex]
[tex](b)\ Cost = \$36l[/tex]
Step-by-step explanation:
Given
[tex]l \to sides[/tex]
Solving (a): The perimeter
The shape has 6 sides; since the sides are equal, the perimeter is:
[tex]Perimeter = 6 * l[/tex]
[tex]Perimeter = 6l[/tex]
Solving (b): Cost of fencing
We have:
[tex]Unit\ cost = \$6/yd[/tex]
So, the cost is:
[tex]Cost = Unit\ cost * Perimeter[/tex]
[tex]Cost = \$6/yd * 6l[/tex]
[tex]Cost = \$36l[/tex]
To get the actual answer, substitute the length of one side of the hexagonal in the calculated expressions
Rahul has 5 BLUE BLOCKS, 3 PINK BLOCKS AND 4 GREEN BLOCKS. He wants to count the total number of blocks he is having. In how many ways he can find the answer? Form a mathematical expression to find the total number of blocks and identify the property used.
Answer:
a) He can find the answer in one way
b) We make use of Addition property of mathematics
c) Total number of blocks = 12 blocks
Step-by-step explanation:
a) He can find the answer in one way
b) We make used of addition property of mathematics
c) The total number of blocks he is having is calculated as:
Blue blocks + Pink blocks + Green blocks
Where
Blue blocks = 5
Pink blocks = 3
Green blocks = 4
Hence:
Total number of blocks = 5 + 3 + 4 = 12 block
The value of the expression 3^-4 • 3^-5 is
Answer:
3^-9
Step-by-step explanation:
3^-4 • 3^-5
We know that a^b * a^c = a^(b+c)
3^-4 • 3^-5 = 3^(-4-5) = 3^ -9
Which of the following best describes a circle?
O A. Any point on a plane that is a set distance from another point
called a center
B. All the points that are the same distance from a single center
point
C. A curved segment that is equidistant from a given point
D. All the points on a plane that are the same distance from a single
point called a center
someone helpp me pls
Please help!!!!!!
if
Answer:
if what
Step-by-step explanation:
if we dare or if we must
Answer:
If what?
Step-by-step explanokation:
So, I don't understand what the question is here. Please elaborate.
Question 8 of 10
Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices"?
three
vertices
triangle
triangle
three
vertices
Figure A
Figure B
A. Figure A
B. Figure B
At the start of 2014 Mike's car was worth £12000.
The value of the car decreased by 30% every year.
Work out the value of his car at the start of 2017.
The value of the car at the start of 2017 will be £ 4116
Which number sentence is true?
8 – 4= 11 – 8
13 – 6 = 6-1
6 – 5 = 7 – 6
Done
Answer:
6-5 = 7-6
Step-by-step explanation:
Please help me I need help
The quotient of Alice’s income and 12 is 1,500
Answer:
125
Step-by-step explanation:
x = 1500 / 12
= 125
Help please no links!!! Please and thank u
Which statement best describes the use of a stimulation to predict the probability that two randomly chosen people will both have their birthdays on a monday
Answer:
The answer is "The Last choice".
Step-by-step explanation:
Please find the complete question in the attached file.
It is the phrase that perfectly represents the usage of a simulation for an estimate of the likelihood of the birthday of 2 randomly chosen persons on a Monday.
In a week there are 7 days, so seven choices are available, and just one Monday. Therefore, it is probable that [tex]\frac{1}{7}[/tex] will occur on a Monday to a birthday individual.
The first person will have a probability [tex]\frac{1}{7}[/tex].
The second person also has a probability [tex]\frac{1}{7}[/tex] .
I NEED HELP PLSS ITS LIKE 200 POINTS
Answer:
y=-3/2x+3
Step-by-step explanation:
(0,3) and (2,0) tell us that the y intercept is 3 because at x = 0, y = 3.
This leaves the first and last choice only.
We can calculate the slope by 0-3 and 2-0, so -3/2 is the slope
Jake wants to distribute 543 marbles equally among 7 of his friends. In which place is the first digit of the quotient?
Answer:
tens place
Step-by-step explanation:
543/7≈77.5714285714
the first digit of the quotient is in the tens place
The first digit of the quotient is in tens place.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Jake wants to distribute 543 marbles equally among 7 of his friends.
Now,
Since, Jake wants to distribute 543 marbles equally among 7 of his friends.
Hence, Number of marbles get by each friend = 543/7
= 77.57
Thus, The first digit of the quotient is in tens place.
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Find the mean of this data set: 11, 13, 13, 11, 13
Answer:
I'm saososowowo3iwiqiwuwuwuwbabahaqbqnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnen
Answer:
I'mnot really sure if it might be correct but I believe it's 12.2 :))
Need help with 2 and 3 ASAP PLEASE SHOW WORK
Answer: #2; 25.13274, #3; 167.55161
Step-by-step explanation:
Two times a number minus four times another number is ten, and four times the first
number minus four times the second number results in four. What are the two
numbers? Let the first number be x. Iand the second number be y.
Answer:
-3 and -4
Step-by-step explanation:
x = 1st number
y = 2nd number
2x-4y=10
4x-4y=4
distribute first equation by -2 to eliminate x-values:
-4x + 8y = -20
+ 4x - 4y = 4
4y = -16
y = -4
solve for 'x':
2x - 4(-4) = 10
2x + 16 = 10
2x = -6
x = -3
The solution for the given system of equations is x = -3 and y = -4.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
This is a system of linear equations in two variables, x and y.
The first equation is:
2x - 4y = 10
The second equation is:
4x - 4y = 4
You can solve one of the equations for one of the variables, and then substitute that expression into the other equation.
From the first equation:
2x - 4y = 10
2x = 4y + 10
x = 2y + 5
Substitute this expression of x in the second equation,
4(2y+5) - 4y = 4
8y + 20 - 4y = 4
4y = -16
y = - 4
Now, substitute this value of y in x = 2y + 5
x = 2 × -4 + 5
x = - 3
Hence, the solution for the system of equations is x = -3 and y = -4.
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SOMEONE PLEASE HELP!! EXPLANAITION = BRAINLIEST + FIVE STARS!! THANK YOU SO MUCH
A cone with volume 448 m³ is dilated by a scale factor of 1/4.
The volume of the resulting cone is ___ cubic meters.
2x2 = 4 4x 10 = 40 x 32 = ?
Answer:
1280
Hope this helped :D
Suppose that another outbreak has been detected. On Sept 1, there were 60 reported cases. A week later, there were 75 reported cases.
If the disease continues spreading exponentially, how many weeks after Sept 1 will 850 cases be expected? Round to the nearest weeks
Answer:
Cases will increase to 850 in half day
Step-by-step explanation:
Given
The number of reported cases increase from 60 to 75 in seven days (week)
rate of increase of cases = 75-60/7 = 15/7
Now, as per the exponential growth equation
[tex]P = P_0 * e^{r*t}[/tex]
Substituting the given values we get
[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]
Taking log on both sides we get
15/7 * t = 1.15
t = 1.15 *7/15
t = 0.537 days = half day
Find the sum of x^2+3x and
-2x^2+9x+5
Answer: The answer is -x^2 + 12x + 5
How can it be that 11 = 1 and 10 = 1, but 01 = 0? Can you explain it?
Answer:
Step-by-step explanation:
11 = 1
10 = 1
01 = 0
It is a puzzle. It just take the term on the left side of the two digits.
Example : 24 = 2
36 = 3
49 = 4
Does anybody know the answer to this question Im having lots of problems
This is the same as writing [tex]3^9[/tex]
====================================================
How to get that answer:
The lowest height is 3^8, and the highest point is 3 times that value.
We can think of that second "3" as really 3^1. This is because x^1 = x for any real number.
Multiply 3^8 and 3^1 using the rule that a^b*a^c = a^(b+c). We add the exponents together.
Therefore, 3^8*3^1 = 3^(8+1) = 3^9
Side notes:
3^8 = 6,5613^9 = 19,683Answer:
3^9
Step-by-step explanation:
3 * 3^8
3^1 * 3^8
3^1+8
= 3^9
There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.
a) The probability of selecting a blue marble is P ( B ) = 1/4
b) The probability of selecting a green marble is P ( G ) = 1/6
c) The probability of selecting not a green marble is P' ( G ) = 5/6
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the number of blue marbles = 3
Let the number of red marbles = 6
Let the number of green marbles = 2
Let the number of black marbles = 1
So , the total number of marbles = 12
So , the probability is given as
The probability of selecting a blue marble is P ( B ) = 1/4
The probability of selecting a green marble is P ( G ) = 1/6
The probability of selecting not a green marble is P' ( G ) = 5/6
Hence , the probability is solved
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The complete question is attached below :
There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.
To solve the equation x - 4= 9, what should be done
to both sides?
add 4 to both sides
subtract 4 from both sides
add 9 to both sides
subtract 9 from both sides
Answer: add 4 to both sides
Step-by-step explanation:
Answer:
the answer is add 4 to both sides
Someone please help me out!!
Answer:
1
when using a quadratic ration 1 is the formatted answer
Step-by-step explanation:
Find the area of the triangle (photo is there)
Answer:
solution;
here;
we have;
base = 20m
height = 17m
Now;
we know;
area of triangle = 1/2*b*h
= 1/2*20*17 [1/2 = 0.5]
= 0.5 * 340
= 170m^2
Hope you got it !!!!
Answer:
170
Step-by-step explanation:
To find the area of a triangle, you just multiply the base by the height and divide by 2 .
In your problem, the base is 20 and the height is 17.
When you multiply those numbers, the answer is 340.
You then just have to divide that by 2, and you get 170.
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
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the best answer
Answer: the second one well because... i dont know how to explain it
Solve the equation plz!
8(3x−2)/9 = 13/7
Step-by-step explanation:
(3x-2) =13/7x9/8
3x =117/56+2
3x = 117+112/56
x =229/56x3
x= 229/168
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Answer:
x=229/168
Step-by-step explanation:
[tex]\frac{8(3x-2)}{9} =\frac{13}{7}\\or, 56(3x-2) =117\\Or,168x-112=117\\Or, 168x=229\\Or, x=\frac{229}{168} \\[/tex]