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
Hey saw this man Turns 250 per on per week Plus a 10% commission all sales over 5000 in one week hey cells Toto 14,000 what were his earning that week A.$1,050 B.$1,150 C.$400 D.$2,150
Answer:
B.$1,150
Step-by-step explanation:
Given data
Weekly earning= $250
commission= 10%
Sales= $14000
Hence the expression for his total earnings per week is
y= 0.1x-250
x= sales
y= total earning
y=0.1*14000- 250
y= 1400-250
y= $1150
Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?
Answer: $32,732.58
Step-by-step explanation:
To calculate the total loan payment over the course of the loan period, use the future value formula:
= Loan amount * (1 + rate) ^ number of years
As this loan is compounded monthly, you need to convert certain terms to monthly figures:
Number of periods = 6 * 12 months = 72 months
Interest = 4.5 / 12 = 0.375%
Total payment:
= 25,000 * ( 1 + 0.375%)⁷²
= $32,732.58
He will have to pay $34,236.31 over the course of the loan.
Using the compound interest formula expressed as:
[tex]A =P(1+r/n)^{nt}[/tex]
P is the principal = $25000
r is the rate = 4.5% = 0.045
t is the time in years = 6 years
n is the compounding amount = (12)monthly
Substitute into the formula:
[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]
Hence he will have to pay $34,236.31 over the course of the loan
Learn more on compound interest here: https://brainly.com/question/24274034
If the weight of a package is multiplied by 3/7 the result is 42 pounds. Find the weight of the package.
Answer:
B
Step-by-step explanation:
x*3/7=42
divide 42 by 3/7: 42*7/3=98
x=98
Answer:
B) 98
Step-by-step explanation:
3/7 = 42/x
3x = 294
x = 98
Can someone help me with this please
Answer:
where is the diagram?
Step-by-step explanation:
If WXYZ is a square, which statements must be true? Check all that apply.
Answer:
A might be right
hope this is helpful
The required correct statement for WXYZ to be a square is given as,
A. WX ≅ XY.
C. WXYZ is parallelogram.
D. ∠W is congruent to ∠Y.
E. ∠W is a right angle.
A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°.
Here,
A square is a four-sided regular polygon, and also square is said to be a parallelogram because the opposite of a square is parallel. And each of the four angles of the square is equal to each other and has a measure of 90°.
Thus, the correct statement for the square has been shown above.
Learn more about square here:
https://brainly.com/question/1658516
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Find the sum of x^2+3x and
-2x^2+9x+5
Answer: The answer is -x^2 + 12x + 5
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
question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!
Answer:
Daniel's time: 3 minutes 45 seconds
Brandon's time: 3 minutes 27 seconds
Step-by-step explanation:
Well, 5 feet per every second so side A would be 327.6 / 3 = 109.2
then 489 / 5 = 97.8 add them two you get 207 seconds which is 3 minutes and 45 seconds for Daniel.
For Brandon you have to find the hypotenuse of the triangle which in short is 588.6 / 3 = 196.2
This was my first answer on this so though Its problebly not the best I hope I did something to help. ;-;
hey! please help i’ll give brainliest
Answer:
Heyo! the answer is A since their implying it's important :)
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
helpppppppppppppppppppppppp asappppp!!!!!!!!!!1
Answer:
(2) angle EZD = angle AZB (vertically opposite angles)
angle EZD = 90 degree
(3) angle DXC = 180 - 143 (Linear Pair axioms)
= 37 degree
Hope u understand
Please mark as brainliest
Thank You
The measure <EZD = 90°
The measure <DXC = 37°
I hope you understand....
This is a Right answer....
a sequence of transformation is applied to a polygon. Select all statements which indicate a sequence of transformations where the resulting a polygon has an area greater than the original polygon.
A. Translate even units left, rotate 90 degrees clockwise about the origin.
B. Reflect over the x-axis, dilate about the origin by a scale factor of 1/2 translate up 5 unit.
C. Rotate 90 degrees counterclockwise around the origin, dilate about the origin by a scale factor of 3/2
D. Dilate about the origin by a scale factor of 2/3. rotate 180 degrees clockwise around the origin, translate down 2 units.
E. Dilate about the origin by a scale factor of 2, reflect over the y-axis, dilate about the origin by a scale factor of 2/3
Answer:
than originally shared this meeting will
ASAP
-WILL MARK BRIANIST
Answer:
part A: 83-8=75
part B: b represents chocolate bars so the answer would be 75 chocolate bars. good luck with the test and have a nice day!
Step-by-step explanation:
Help,no links and please don’t guess. Will give the brainliest . It is a 4 grade question
Answer:
.7 or 7/10
Step-by-step explanation:
buddy+teddy:2.9
socko+peanut:2.2
2.9-2.2=.7
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
Write the factored form of each trinomial.
x^2 + 11x +28
Answer:=
=(x^2+4x)+(7x+28)
=x(x+4)+7(x+4)
=(x+4)(x+7)
Step-by-step explanation:
Answer:
[tex](x+4) (x+7)[/tex]
Step-by-step explanation:
Factor x^2 + 11x + 28 using the AC method.
A test was given to 120 students, and the scores approximated a normal distribution If
the mean score was 72 with a standard deviation of 7, approximately what percent of the
scores were 65 or higher?
Answer:
84.13% aka. 101/120 students
Step-by-step explanation:
P(X>65) = normalcdf(65,100,72,7) = 0.8413130544 ≈ 0.8413 ≈ 84.13%
Therefore, about 84.13% of the scores were 65 or higher, meaning that about 101 students got a score of 65 or higher.
84% of students have a score of 65 or higher.
What is Normal Distribution?'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'
According to the given problem,
For this sum, the mean and standard deviation are mentioned.
Mean = 72
S.D = 7
We will be using the bell curve of normal distribution for solving this sum.
Area under the curve that represents more than 65:
= 34% + 34% + 13.50% + 2.35% + 0.15%
= 84%
Hence, we can conclude that 84% of the scores were 65 or higher.
Learn more about normal distribution: https://brainly.com/question/13759327
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PLEASE HELP ILL GIVE BRAINLY
Answer:
Student C
Step-by-step explanation:
The fraction ends up being 3 and you get 3* 3^-1 so you add 1 to the exponent.
What is the value of x?
Enter your answer in the box.
Step-by-step explanation:
which class are you
just to confirm
Three friends will run race. If three friends no ties, in how many distinct order can these 3 friends finish the race?
===========================================================
Explanation:
Let's name the friends A, B, C
If person A is first, then B or C could be second and third.
So we have ABC or ACB as two possible outcomes.
If B is first, then either A is second or C is second. Meaning we have BAC or BCA.
If C is first, then we have CAB or CBA
Overall here are the 6 different ways to have the runners finish
ABC ... A is firstACB ... A is firstBAC ... B is firstBCA ... B is firstCAB ... C is firstCBA ... C is firstNote how for the first slot we have 3 ways to pick the winner. Then after that selection is made, we have 2 choices left, then 1 choice for third place. Therefore, 3*2*1 = 6 different outcomes are possible.
We can use the factorial operation on the calculator to do this with one button press, so we'd say 3! = 6. The exclamation mark means "multiply from 3 down to 1, counting down the whole time".
Another example of a factorial is:
5! = 5*4*3*2*1 = 120
Match the word with the definition.
Step-by-step explanation:
practical range = 8
vertical line test = 5
range = 3
domain = 2
relation = 1
function = 4
function Notation =6
practical domain=7
The quotient of Alice’s income and 12 is 1,500
Answer:
125
Step-by-step explanation:
x = 1500 / 12
= 125
What is the value of 3'5/3'3
Answer:
1.05128205Step-by-step explanation:
hope it helps
#carryonlearning
What equation is equivalent to 2 - 3 (5x+2) = 6?
A) -15x - 4 = 6
B) -15x + 4 = 6
C) -5x - 2 = 6
D) -5x + 2 = 6
What is the volume of the solld figure that has a helght of 11 feet and the following base?
volume___ft 3
Step-by-step explanation:
Area is 2D, and Volume is 3D
volume is L x W x H
area is L x W which has already been given to you so you just need to use the height given to you
38.28 x 11
You are looking for a summer job at a sneaker shop. The most popular sneakers sold are shown below:
Ginny paid $4.16 for a sandwich. She paid $0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answer:
$5.01 moneyyyyyy lollll
Answer:
$5.11
Step-by-step explanation:
3 = [?]
60°
120° 60°
Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equations represents this situation
Answer:
Miguel: d = 23t + 10
Gabby: d = 28t
Step-by-step explanation:
We can write the equation for each case in slope-intercept form, d = mt + b
Where,
d = total distance
t = time
m (rate) = distance/hr
b = initial value
✔️ Miguel:
m = 23 km/hr
b = 10 mile
Equation: subtitle the values into d = mt + b
d = 23t + 10
✔️ Gabby:
m = 28 km/hr
b = 0 mile
Equation: subtitle the values into d = mt + b
d = 28t + 0
d = 28t