The length of the vegetable garden is 11.7 ft.
The dimension of the garden are 3 section long and 2 section wide.
let
each section length = x
Therefore,
length of garden = 3x
width of garden = 2x
Area of the vegetable garden = 91.26 ft²
3x(2x) = 91.26 ft²
6x² = 91.26
x² = 91.26 / 6
x² = 15.21
x = √15.21
x = 3.9
length of the vegetable garden = 3(3.9) = 11.7 ft
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Helps plz and no links
Answer:
1+2+3- -9+236359
Step-by-step explanation:
Answer:
y=-4x-7
Step-by-step explanation:
if you use the slope formula, y2-y1 over x2-x1 using any two points from the grid, you get a slope of -4.
if you use the slope intercept form, y=mx+b, and plug in y, m the slope, and x, you get -3=-4(-1)+b
if you solve that, you get -3=4+b
and if you isolate 4 by subtracing 4 from both sides, b=-7.
then you plug slope and y intercept into formula, and get y=-4x+b
Question Number 12, i need help!! It’s geometry.
A 13 foot ladder is placed
5 feet away from a wall
How many feet up the wall
will the ladder reach?
Answer: 12 feet up
Step-by-step explanation:
This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs. Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)
[tex]a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12[/tex]
N.B. There are some very useful sets of numbers that can help you with this unit.
They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles. The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))
Hope it helps :) and let me know if you want me to elaborate further.
Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm
Mary is doing research on bird migration. Last week she counted 12 migration birds in her yard. This week she counted 10. What was the percent decrease in birds this week?
The area of a rectangle is 50 ft, and the length of the rectangle is 5 ft less than three times the width. Find the dimensions of the rectangle.
Answer:
L - 10 . W - 5
Step-by-step explanation:
Length = 3*width - 5
area = length * width
50 = (3w-5)* w
50 = 3w^2-5w
0 = 3w^2 - 5w -50
0= (3w+10)(w-5)
w = 5 , w can't equal -10/3 because width can't be negative
width is 5
Length = 3 * 5 - 5
Length = 10 , width = 5
Answer:
first lets say w is the width
50(area)=w(idth)+3(w-5)
50=w+3w+15
50=4w+15
35=4w
8.75=w
w equals 8 3/4
Hope This Helps!!!
An investor has an account with stock from two different companies. Last year, his
stock in Company A was worth $2000 and his stock in Company B was worth $4240.
The stock in Company A has increased 1% since last year and the stock in Company B
has increased 5%. What was the total percentage increase in the investor's stock
account? Round your answer to the nearest tenth (if necessary).
Answer:
Submit Answer
acer
Answer:
Total percent: 3.7%
Step-by-step explanation:
(2000 x 0.01) + (4240 x 0.05) = $232
X/100 = 232/6240
= 23200/6240 = 3.7%
NEED HELP I DONT REMEBER DIS
Answer:
a. ΔMNK =Δ [tex]PRT[/tex]
b. TR=MN
c. [tex]x=7[/tex]
Step-by-step explanation:
I hope this help you
Which equation has the solution x = 3?
Select each correct answer.
2x + 4 = 10
9−3x=0
3x + 1 = 9
9x−1=4
x3+5=6
5x−7=1 giving 50 pointss so hurry
Answer:
A and B
Step-by-step explanation:
A: 2x3=6 6+4=10 so correct
B: 9-9=0 so correct
Answer:
2x+4=10
Step-by-step explanation:
2x=10-4=
2x=6
x=6÷2=
3
which matrix multiplication is defined?
Please Help me Solve this question
Answer:
Step-by-step explanation:
Correct Answer: C
We can rely on the guess and check method to easily solve this problem. Let’s first pick arbitrary values of x and y to eliminate some answer choices.
Let’s consider the case where |x| and let x = 3 and y = -10.
Because x/y = -3/10 < 1, answer choice A is incorrect.
Because |x|2 = (3)2 = 9 and |-10| = 10, we have that |x|2 < y, so answer choice B is also incorrect.
Because x2 + 1= (3)2 + 1 = 10 and y2 + 1 = (10)2 + 1 = 101, we have that x2 + 1 < y2 + 1, so answer choice D is also incorrect.
Now, let’s consider the case where |x|>|y| and let x = 3 and y = -2.
Then, x-2 = 1/x2 = 1/9 and y-2 = 1/y2 = 1/4. This means that x-2 < y-2 , so answer choice E is also incorrect.
This means that answer choice C is correct. We can manipulate the inequality to see why this is true: (x/3 – 5) > (y/3 – 5)
We add 5 to both sides: x/3 > y/3
We multiply both sides by 3: x > y.
We know this is true since we are given that x > 1 > -1 > y, which simplifies to x > y.
please help me with this sum I will mark you as brainest
Answer:
6/8 × 6 = 9/22/5 × 4 = 8/59/3 × 9 = 277/4 × 8 = 148/6 × 2 = 8/34/9 × 7 = 28/93/8 × 3 = 9/87/2 × 4 = 146/3 × 6 = 12 8/9 × 3 = 8/3Hope It's Help
Please help I do not really know what I’m doing if you could give an example of that would be good too but if not that’s OK
Answer:
the dot would be shaded in and from -6 go to the left
Step-by-step explanation:
whay are the fourth and fifth number on the sequence 1,4,27.?..,..?..46656
Answer:
256, 3125
Step-by-step explanation:
This may be the sequence n^n: 1^1, 2^2, 3^3, 4^4, 5^5, 6^6, ...
Let's check with the numbers we see:
1^1 = 1
2^2 = 4
3^3 = 27
6^6 = 46656
Yes, this is the sequence n^n.
The 4th term is:
4^4 = 256
The 5th term is:
5^5 = 3125
What is -3/2 as a decimal
Answer:
-1.5
Step-by-step explanation:
To convert a fraction to a decimal number divide the numerator (-3) by denominator (2)
Answer:
-1.5
Step-by-step explanation:
A candle factory makes colored candles to sell in packages. Which of the following situations best represents a proportional relationship?
Answer:
D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.
Step-by-step explanation:
8/1 is proportional to 144/18
In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.
Given that, a candle factory makes colored candles to sell in packages.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
A) Does not a represents a proportional relationship
B) Does not a represents a proportional relationship
C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.
Here, the number of packages increases, the cost also increases. So, it is direct proportion.
D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.
Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.
In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.
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7÷5=2. Prove It
Based on Critical Thinking and Reasoning. Not normal mathematics.
Which point is a solution to the system?
Answer:
d
Step-by-step explanation:
Evaluate the expression -2
Answer: 2x for x=3: 2(3) = 6.
Step-by-step explanation:
Write an equation of the line in slope-intercept form.
Answer:
y = x + 4
Step-by-step explanation:
From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).
slope = m = rise/run = 1/1 = 1
The y-intercept is b = 4
y = mx + b
y = x + 4
Which is a recursive formula for this geometric sequence? -320, -80, -20, -5, . . .
The recursive formula for the geometric sequence is:
[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the coefficient of consecutive terms is always the same, called common ratio q.The recursive equation for a geometric sequence is:
[tex]f(n) = qf(n - 1)[/tex]
With f(1) as the first term.In this problem, the sequence is: {-320, -80, -20, -5, . . .}
The first term is [tex]f(1) = -320[/tex].The common ratio is [tex]q = \frac{-80}{-320} = \frac{1}{4}[/tex]Hence, the recursive equation is:
[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]
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The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
Geometric progressionThe required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
n the following sequence -320, -80, -20, -5,...
The The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]is given as:
r = -80/-320 = -20/-80 = 1/4The first term = -320The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
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A line that passes through (3, 1) and (0, -3)
thanks in advance ill mark brainliest
Answer:
100º
Step-by-step explanation:
Cooresponding angles are congruent
11x + 1 = 10x + 10
Subtract 10x from both sides
x + 1 = 10
subtract 1 from both sides
x = 9
θ = 11x + 1
θ = 11(9) + 1
θ = 99 + 1
θ = 100º
What is the solution to the system of equations? y=−2x−64x−y=−36 (−15, 24) (−7, 8) (−5, 4) I don't know.
Answer:
Since y = −2x − 6 and 4x − y = −36, the solution would be B.) (-7, 8).
A solution to the given system of equations is [tex](\frac{100}{3}, \frac{8}{3} )[/tex]
Given the following system of equations:
[tex]y=-2x-64[/tex] ...equation 1.
[tex]x-y=-36[/tex] ...equation 2.
To find a solution to the given system of equations, we would use the substitution method:
First of all, we would make x the subject of formula in equation 2.
[tex]x=-36+y[/tex] ...equation 3.
Substituting eqn. 3 into eqn. 1, we have:
[tex]y = -2(-36+y)-64\\\\y=72-2y-64\\\\y+2y=72-64\\\\3y=8\\\\y=\frac{8}{3}[/tex]
For the value of x:
[tex]x=-36+y\\\\x=-36+\frac{8}{3} \\\\x=\frac{100}{3}[/tex]
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Three friends do
Word together for 5 days. The first friend does it alone for 15days. The second friend does it alone for 12 days.
many days does the third do it alone for?
Answer:
I think 9 days
Pls mark as brainliest answer if it helps you
in one month we have 31 days so
31-15-12=4hope it helpsEvaluate.
2 1/4 + 2/5 / (-1/2)-1/4
Enter your answer as a mixed number in simplest form in the box.
Answer:
[tex]1\frac{1}{5}[/tex]
Step-by-step explanation:
2 1/4 + 2/5 / (-1/2)-1/4
order of operation states you do division before subtraction or addition
2 1/4 -4/5 -1/4....divide 2/5 by -1/2
2 - 4/5.................combine like terms
6/5........................subtract
1 1/5.......................simplify
Original price of shorts $53.95 Discount 30% Tax 4.5 percent %
Answer:
$39.50 is the final payment.
Step-by-step explanation:
0.3 x 53.95 = 16.185
53.95 - 16.185
= 37.765
0.045 x 37.765 = 1.699425 + 37.765
= 39.464425 and round
please help me with this sum I will mark you as brainest
Answer:
Step-by-step explanation:
3/6 x 8
= ( 3 x 8 ) / 6
= 24 / 6
4/7 x 2
= ( 4 x 2 ) / 7
= 8 / 7
9/2 x 3
= ( 9 x 3 ) / 2
= 27 / 2
8/5 x 7
= ( 8 x 7 ) / 5
= 56 / 5
3/9 x 5
= ( 3 x 5 ) / 9
= 15/9
7/4 x 4
= ( 7 x 4 ) / 4
= 28 / 4
6/2 x 6
= ( 6 x 6 ) / 2
= 36 / 2
8/3 x 9
= ( 8 x 9 ) / 3
= 72 / 3
9/4 x 8
= ( 9 x 8 ) / 4
= 72 / 4
5/3 x 6
= ( 5 x 6 ) / 3
= 30 / 3
2/7 x 3
= ( 2 x 3 ) / 7
= 6 / 7
8/4 x 7
= ( 8 x 7 ) / 4
= 72 / 4
6/4 x 2
= ( 6 x 2 ) / 4
= 12 / 4
The total age of a cat, dog, monkey is 4 year 2 month. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?
28 years
Step-by-step explanation:
Co-relating their ages:Let's say, the cat is x years old.The dog is twice as old as the cat
That makes the dog 2x years old.The monkey is twice as old as the dog.
That is, 2 × (2x) = 4x years old- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Calculating the total:Their total age is 4 years 2 months.
1 year has 12 months
=> 4 years have (4 × 12)
= 48 months
Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".
= 50 months
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solving for x:Sum of their ages = 50 months
=> x + 2x + 4x = 50
=> 7x = 50
=>x = 50/ 7 months
If we write this in mixed fractions the whole number will represent the number of years.
=
[tex] \mathsf{7 \frac{1}{7} \: \: months}[/tex]
[tex] = \mathsf{7 \: years \: \frac{1}{7} \: \: months}[/tex]
The value of 1/ 7 is really small,I.e., 0.1428...
So, we can ignore the fraction while rounding off the term that makes it
[tex] \mathsf{x = 7yrs.(approx.)}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Recall:x is the age of the cat.
The monkey's age is "4x"
= 4 × 7
= 28 years.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:So, the monkey's age is approximately 28 years
0.5 ÷ 10.2 If you solve this, can you show the steps of this equation?
Answer:
0.5/ 10.2
Well its basically
Well first you gotta make sure the 10.2 is a whole number in order to divide
so we can multiply by 10
that turns it into 102
Now what we do do 10.2 we do to 0.5 to make it equal which makes0.5*10=5
Now its easier so its 5/102
Now we just divide normally
*assuming its rounded to the nearest hundredths
0.05