Answer:
150.183
Step-by-step explanation:
0.9 x (8.2 x 20.35) =
0.9 x (166.87) =
150.183
Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden s 5,670 square feet?
Answer:
P = 342 ft
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Factoring/ExpandingQuadratics
Solving quadratic equationsStandard Form: ax² + bx + c = 0Geometry
Area of a Rectangle Formula: A = lw
l is lengthw is widthPerimeter of a Rectangle Formula: P = 2w + 2l
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify variables.
A = 5670 ft²
"Length that is 9 feet less than 3 times its width" → l = 3w - 9
Step 2: Find w
Substitute in variables [Area of a Rectangle Formula]: w(3w - 9) = 5670[Distributive Property] Expand: 3w² - 9w = 5670[Subtraction Property of Equality] Rewrite [Standard Form]: 3w² - 9w - 5670 = 0[Quadratic] Factor: 3(w - 45)(w + 42) = 0[Quadratic] Solve [Find roots]: w = -42, 45Since length/width cannot be negative, we know that w = 45 ft.
Step 3: Find l
Substitute in w [Length Formula]: l = 3(45) - 9[Order of Operations] Evaluate: l = 126 ftStep 4: Find Perimeter
Substitute in variables [Perimeter of a Rectangle Formula]: P = 2(45 ft) + 2(126 ft)[Order of Operations] Evaluate: P = 342 ft∴ The perimeter of Janice's fence is 342 ft.
Let width be x ft
Length be 3x-9ft
Now
Area=Length ×Breadth5670=x(3x-9)5670=3x²-9x3x²-9x-5670=0On solving we wI'll get x=-42,45
Take it positive
x=45width=45ftLength=3(45)-9=135-9=126ftNow
Perimeter
2(Length+Width)2(45+126)2(171)342ftList the angles of the triangle in order from least to greatest.
Answer:
3rd option
Step-by-step explanation:
The angle opposite the shortest side is the smallest
The angle opposite the longest side is the largest
Shortest side is AC with ∠ B opposite , thus smallest
Longest side is AB with ∠ C opposite, thus largest
Then order of angles from least to greatest is
∠ B , ∠ A , ∠ C
which of the follwing equations has the same solution as 3x-5=5x+11?
a. 2x-5=11 b. 3x=5x+6 c. 3x+6=5x d. -5=2x+11
Answer:
-5 = 2x + 11
Step-by-step explanation:
3x - 5 = 5x + 11
→ Minus 5x from both sides
-2x - 5 = 11
→ Add 5 to both sides
-2x = 16
→ Divide both sides by -2
x = -8
what is the 60th term of the sequence 2, -3, -8, -13?
Answer:
-293
Step-by-step explanation:
The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...
an = a1 +d(n -1)
an = 2 -5(n -1)
The 60th term is ...
a60 = 2 -5(60 -1) = -293
Write an equation in slope-intercept form of the line that passes through the given points. (0,6) and (-5, "-1)"
what is the y intercept of the graph with an equation: 2x-6y=18
Answer:
2X(34.-98) DE LA YOE
Step-by-step explanation:
question math genius help but preparation for tmrw math exam
a) 2x-y-3=0,4x+y-3=0
lots of thx if u helped
Step-by-step explanation:
make sure to number your equations
[tex]2x - y - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: (1)[/tex]
[tex]4x + y - 3 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: (2)[/tex]
In equation 2 make y the subject
[tex]y = - 4x + 3 \: \: \: \: \: \: \: \: \: (3)[/tex]
subs 3 into 1
[tex]2x - ( - 4x + 3) - 3 = 0[/tex]
[tex]2x + 4x - 3 - 3 = 0[/tex]
[tex]6x - 6 = 0[/tex]
[tex]6x = 6[/tex]
[tex]x = 1 \: \: \: \: \: \: \: \: \: \: \: (4)[/tex]
sub's 4 into 2
[tex]4(1) + y - 3 = 0[/tex]
[tex]4 + y - 3 = 0[/tex]
[tex]y = - 4 + 3[/tex]
[tex]y = - 1[/tex]
graph -1,-1 on this graph
Answer:
UP THE DOWN THAT WHAT I GOT
Step-by-step explanation:
Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation
Answer:
4^n-1
Step-by-step explanation:
So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)
Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items
In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).
Applying "ar^n-1 " we get,
1*4^n-1 which is , 4^n-1
Thats the formula which represents the situation....
Help me ;-;
Find (2)(‐3)
if 1 orange cost 30 cents how many oranges can you buy for 10.50
Answer:
300!! I think...
Step-by-step explanation:
30 x 10 = 300
If you divide .30 by 10.50, you get 30. So, you can buy 30 oranges for a total of 10.50 when each orange is .30.
3
Write 3
as an improper fraction.
4
Answer:
I'm sorry, but this isn't clear. Maybe remake the layout you wrote? Because 3 3 4 doesn't make sense.
[tex]\huge\boxed{Hi\: there!}[/tex]
3 as an improper fraction: 3/1.
Remember, an improper fraction is a fraction where the numerator is larger than the denominator.
[tex]\huge\boxed{Therefore, \: 3 \: as \: an \: improper\: fraction\: is: \frac{3}{1} }[/tex][tex]\huge\bold{Good \: luck\: with \: your\: studies! :)}\\\huge\bold{Answered \:by: \: An\: Unknown \: Dreamer}[/tex]
Please help me on this math problem
Answer:
A
Step-by-step explanation:
Benjie's line is a better fit because it has a lower value of least square residual, which measures how far on average each point is from the line.
Consider the following system of equations. Line 1: x + y = -2 Line 2: 3x - y = 2 Part A: The ordered pair (-4, 2) is a solution to O Line 1. O Line 2. o the system of equations.
Answer:
(a) Line 1
Step-by-step explanation:
The given point is only a solution to the equation for Line 1. This is shown in the attached graph.
__
You can put those values into each equation to see if it is satisfied.
1: -4 +2 = -2 . . . . this equation is satisfied.
2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied
(-4, 2) is a solution to the Line 1 equation only.
Malachi is practicing math fluency. He has 100 math operation flashcards with 42 addition problem cards, 56 subtraction cards, and 2 multiplication cards. He will time himself to see how fast he can solve the problems on two cards. He chooses his two cards and they are both multiplication cards. Is choosing two multiplication cards likely? Explain by running a simulation.
Part A: State the problem or question and assumptions. (2 points)
Part B: Describe the process for one repetition, including possible outcomes, assigned representations, and measured variables. (3 points)
Part C: Use digits from a table of random digits or use your calculator to perform one repetition. Submit the list of random digits and indicate those that represent multiplication cards. (3 points)
Part D: Suppose there were 5 times when both cards selected were multiplication cards after 1,500 repetitions of the simulation. State your conclusions from these results. (2 points)
Essay Submission
Answer: It is highly unlikely to get both multiplication cards on the first try.
Part A The question asked is: there are two multiplication cards out of one hundred cards including forty-two addition problem cards and fifty-six subtraction cards.What are the odds of getting just the multiplication cards.The assumption is this we are talking about the first try.
Part B You make the multiplication cards, card#1 and card#2. All other cards are #3-100. Then you use the random number generator to see odds of two numbers out of one hundred, which is 0.02%. as I did 2/100 x 1/99 then multiply by 100 so.02
Part C I got 83 and 27as my first two numbers with my random number generator, So Malachi didn't get a multiplication card in this random test. card #1 and card #2 are the multiplication cards
Part D The percentage of the time that you'd expect both multiplication cards to be picked is 0.002 or .2%. The proportion of the time that it happened here is 5/1500=.00333 or .33%, which means that this is pretty much in line with what you'd expect
Step-by-step explanation: I got a 10/10 on 3.07 essay test for honors statistics.
Henry bought 9 3/4 pounds of oranges at the market. If the oranges cost $1.20 per pound, how many did Henry pay for the oranges.
Answer:
Henry payed $ll.70
Step-by-step explanation:
1.20 times 9 3/4 (or 9.75) equals 11.7
What is the equation of the line that passes through the point (-6,1) and has a
slope of 1?
Answer:
y = x + 7
Step-by-step explanation:
If the slope is 1, the original equation is y = mx + b, with m being 1.
Now substitute -6 and 1 for x and y and solve for b
1 = 1(-6) + b
1 = -6 + b
7 = b
Put it all together:
y = x + 7
help me here pls
(solve on your own, a,b, and c)
(more practice, a and b)
Answer:
1. 0.0086
2. 0.0059
3. 0.0124
4. 0.0894
5. 0.0667
6. 4.578
7. 67.58
8. 99789.5
9. 685.31
10. 23500
Step-by-step explanation:
Use calculator or find the pattern
for problems under B, multiply the quotient by the dividend
Solved previously.The altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. What is the area of the triangle, in square units
Answer:
6√3 square units
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...
3(2/√3) = 2√3 . . . . side AB in the attached figure
and
2·3 = 6 . . . . . . . . . . side AC in the attached figure
Then the area of the triangle is ...
A = 1/2bh
A = 1/2(6)(2√3) = 6√3 . . . . square units
Ricky scored 20 points in his first game and 18 points in his second game. He played three games during the week and averaged 21 points per game. How many points did he score in his third game?
Answer:
25 points
Step-by-step explanation:
21 x 3
63
-20
43
-18
25
Calculate 18.75 x 11.54 a) exact value b. corrected to 1 d.p c. corrected to 2 s.f
Step-by-step explanation:
18.75 x 11.54
= 216.375
216.375 is the correct answer
write 0.000046 in scientific notation
The answer would be 4.6 x 10^-5
Hello there! :)
Numbers in scientific notation look like this:
____x10^-
The coefficient must be between 1 and 10:
4.6x10^-
Now,the exponent is how many units we move the decimal place.
The exponent for this number is negative because the number is small.
We move the decimal point 5 times to the left.
Therefore, 0.000046 in scientific notation looks like so:
4.6x10^-5
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
Solve. 34x+78=414 Enter your answer as a mixed number in simplest form in the box. x =
Answer:
The answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]
Step-by-step explanation:
34x + 78 = 414=> 34x = 414 - 78=> 34x = 336=> x = 336/34=> [tex]9\frac{30}{34} = 9\frac{15}{17}[/tex]Conclusion:
Therefore, the answer in mixed fraction form is [tex]9\frac{15}{17}[/tex]
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer: X= 9 over 2
I think this is the right answer
sorry if it is not
Please solve number 13 and 14
Answer:
13.
We already have two angles, so we will just need another side to be equal to prove they are congruent. Any side will do (JK and MO lets say, which is the ASA congruency identity)
14.
The sides JL and DF differ in length (JL is longer than DF), so that proves why SSA identity (c'mon you know why i didn't write A... nvm) does not exist, as there can be two possible lengths for the last side.
While working for a lawn service company, Austin figures he earns $5 for edging 20 feet of curb. If he edges 50 feet of curb at the same rate, how much will Austin earn?
Power Lawn Edger
x=13 1/2 or 13.50$
x=12 1/2 or $12.50
x=14 3/4 or 14.75
x=12 or 1/4 or $12.25
80 people exercise in the morning at Planet Fitness. 100 people
exerflncise in the afternoon. What is the percent of increase in the
number of people exercising at Planet Fitness in the afternoon?
Answer: it has a 20% increase
Java 1
Question 14
If x is 5 and y is 10, what will the output of the following code be?
return x > y;
a. true
b. false
c. 10
d. 5
e. 0
Answer:
it will return 10
Step-by-step explanation:
As you can see 5 = x ad y = 10. So is say's x is lesser than 10 so 10 will be the ne to return
A bag with 12 marbles has 4 red marbles , 3 yellow Marbles ,5 blue marbles. A Marble is chosen from the bag at random . What is the probability that is not red
Answer:
2/3
Step-by-step explanation:
The answer is simple; the number of non-red marbles over the number of total marbles.
What is the value of log3 27?
Answer:
Logarithm base 3 of 27 is 3 .Step-by-step explanation:
hope it helpsAnswer:
3
Step-by-step explanation:
27 = 3 x 3 x 3 = 3³
log3 27
= log3 3³
= 3 log3 3
= 3 x 1
= 3
Note : -
Formulas : -
Logn n = 1
Logn n^n = n Logn n
The line plot shows the costs of 5 books. A teacher buys all 5 books. She pays
with a $100 bill. How much change should she get?
Answer:
$36 in change
Step-by-step explanation:
book cost total: 64
100-64=36
If you aren't sure how to read the chart, each "X" represents one book and the numbers below represent the price.
