A garden is shaped in the form of a regular heptagon (seven sided), MNSRQPO. A circle with centre T and radius 25m circumscribes the heptagon as shown in the diagram below. The area of triangle MSQ is left for a children’s playground, and the rest of the garden is planted with flowers. Find the area of the garden planted with flowers.
Find the variation constant and an equation of variation for the given situation.
y varies directly as x, and y = 7 when x = 1/2.
Answer:
[tex]\displaystyle y=14\cdot x[/tex]
Step-by-step explanation:
Directly Proportion
It's said that y varies directly proportional as x, if:
[tex]y=k\cdot x[/tex]
Where k is a constant of proportionality.
We know that y=7 when x=1/2.
Using the above condition, we can find the value of k:
[tex]\displaystyle 7=k\cdot \frac{1}{2}[/tex]
Solving for k:
k=14
Thus, the equation is:
[tex]\boxed{\displaystyle y=14\cdot x}[/tex]
please help me with this it's worth 80 points
and please show all work
3x - 4 + 6x = -31
17 = 3x - 10
2x + 6 = 4x - 8
17x - 5(3x - 11) = 41
5x - (3x - 6) = 18
6x - 3(4 - 5x) = 30
x - (-5) = 7
This is a lot of questions-
I did them all on a calculator.
1.)
3x - 4 + 6x = -31
3x + 6x - 4 = -31
9x - 4 = -31
9x = -27
Answer: x= -3
2.)
17 = 3x - 10
3x -10 = 17
-10 = -10
3x = 27
divide both sides by 3
Answer: x= 9
3.)
2x + 6 = 4x - 8
-6 = -6
2x = 4x -14
-4x (both sides)
-2x = -14
divide both sides by -2
Answer: x = 7
4.)
17x - 5(3x - 11) = 41
2x +55 = 41
-55 (both sides)
2x = -14
divide 2 both sides
Answer: x = -7
5.)
5x - (3x - 6) = 18
2x + 6 = 18
-6 both sides
2x = 12
divide both sides by 2
Answer: x = 6
6.)
6x - 3(4 - 5x) = 30
21 - 12 = 30
+12 boh sides
21x = 42
divide both sides by 21
Answer: x = 2
7.)
x - (-5) = 7
x + 5 = 7
-5 both sides
Answer: x = 2
What is the measurement of <1?
Answer:
1 = 135 degrees
Step-by-step explanation:
Use the distributive property to write an equivalent expression.
2(n+8p)
Answer:
2n+16p
Step-by-step explanation:
You bought 100 shares of stock at $15 per share. You sold your 100 shares at $21.75 per share. Calculate your total profit from the sale.
Answer:
$675
Step-by-step explanation:
You multiply 15 and 100 answer for that is 1500 then you multiply 21.75 and 100 answer for that is 2175 finally you subtract 1500 from 2175 witch gives you the final answer of 675
Total profit from the sale of 100 shares is equals to $675.
What is profit?
" Profit is the amount of money or revenue which we earned when selling price of a product is more than its cost price."
Formula used
Profit = Selling price - Cost price
According to the question,
Cost price of 1 share = $15
Therefore,
Cost price of 100 shares = 15 × 100
= $1500
Selling price of 1 share = $21.75
Selling price of 100 shares = 21.75 ×100
= $2175
Selling price > Cost price
Therefore , Profit
Substitute the value in the formula we get,
Profit = 2175 - 1500
= $675
Hence, total profit from the sale of 100 shares is equals to $675.
Learn more about profit here
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HELP ASAP!!!!!!!!!!!!!!!!!!
Answer:
I'm pretty sure it would be 1 acre
Step-by-step explanation:
5/2 which is improper for 2 1/2 and 2/5 are multiplicative inverses so 2/5 of 5/2 is 1
please help!!!!!!!!!!!!
I Did This And I Somehow Came Out To B. So B I Guess Sorry if Im Wrong
five and four hundred three thousandths in standard form
Answer:
5.403
Step-by-step explanation:
Five is 5. Four hundred three thousandths is .403. the 3 is in the thousandths the 4 is in the tenths and the 0 is in the hundredths, and the 5 is a whole number.
What is the equation in point-slope form of the line passing through (1, 9) and (1, 11)? (5 points)
Answer:
1
Step-by-step explanation:
Answer:
y-9=0(x-1)
Step-by-step explanation:
first, find the slope with m=y2-y1/x2-x1
11-9=2
1-1=0
2/0 is undefined so i think you have to use 0
sorry if im wrong
i find it difficult when there is no slope
Solve using substitution
y = 4x + 11
2x – 5y = -1
Answer:
x=−3 and y=−1
Step-by-step explanation:
Substitute y=4x+11y=4x+11 into 2x-5y=-12x−5y=−1
-18x-55=-1−18x−55=−1
Solve for x in -18x-55=-1−18x−55=−1.
x=-3
Substitute x=-3x=−3 into y=4x+11y=4x+11.
y=-1
Answer:
28
Step-by-step explanation:
2x-5(4x+11)=-1
2x-20x+55=-1
-22x+55=-1
-22x+55-55=-1-55
-22x/-22=-56/-22
x=28
What is 0.23 divided by 0.7?
0.328571428571
ly guys <3
What is the solution of 3x + 5 = 2x - 7?
Answer:
Step-by-step explanation:
3x +5 = 2x -7
+7 +7
3x +12=2x
-3x -3x
12= -x
-12 = x
Answer:
This is your answer:
[tex]3 x + 5 = 2x - 7[/tex]
[tex]3x - 2x = - 7 - 5[/tex]
[tex]1x = - 12[/tex]
[tex]x = - 12[/tex]
Hope it helps!!Please mark me as brainliest!!!✨Thanks!!!!☺✨
❄
12.
The algebra tiles shown below model an equation.
symbol
Which equation best represents the model?
X + 2y = 7
2x + y = 5
What’s the substitution
You can subtract 2y from both sides of the first equation and then plug that (x = 7 -2y) into the second one to get:
14 - 4y + y = 5 -->
14 - 3y = 5 -->
-3y = -11 -->
y = 11/3 -->
x = 2/3
Helpppppppp pleaseeeeee
Answer:
negative
Step-by-step explanation:
okay so look at the rise and the run of this line (that is given). slope is defined as rise divided by run. the "rise" is the change in y values, while the "run" is the change in x values. the rise in this problem is -4, as shown on the graph. the run is 3, as also shown there. therefore, the slope is -4/3. the type of slope this is is negative slope because the slope is clearly negative.
Answer:
-4/3
Step-by-step explanation:
(-1 - 3)/(1 - -2)
use the slope formula (y2 - y1)/(x2 - x1)
WILL,,GIVE,,BRAINLIEST!!!!!!!!!
Question:
In picture
HAVE A BRAINLY DAY!!!! :D
You do 22/7 and put the remainder over 7.
7 times 3 is 21 so the remainder is 1.
The answer is 3 and 1/7. Choice 3.
Answer:
[tex]3\frac{1}{7}[/tex]
Step-by-step explanation:
Break it up by asking questions. First, how many 7's fit as a whole into 22:
22 ÷ 7 = 3What is the remainder:
7 × 3 = 2122 - 21 = 1Using the original denominator and our above math, write the mixed number:
[tex]3\frac{1}{7}[/tex]I hope this helps!
Write the first 4 terms of the sequence.
f(1) = 2 and f(n) = f(n - 1) + 2 for each whole number n greater than 1.
A 1,3,5, 7
B) 2,4,6,8
C) 1,2,3,4
D) 2,3,4,5
How do I write the First 4 terms so I can solve for the answer?
Answer:
Use the given functions to set up and simplify
7B.4=f(1)=2=Always(true)n=Always(true)1A⋅1=A3=A5=A7B=A
Step-by-step explanation:
Jason takes 3 pages of notes during each hour of class. In all, how many hours will Jason have to spend in class before he will have a total of 36 pages of notes in his notebook?
Answer:
36 pages/12 hours
Step-by-step explanation:
3 pages per hour
36 pages per ? hours
36 / 3 = 12
36 pages per 12 hours
Hope this helps!
Look at Data Set A
1 3 3 2 4 0 4 3 3 5 2
Identify whether this will be normal distribution or skewed left or right? (Hint: find the five number summary and make a box plot)
O skewed left
O skewed right
O normal distribution
The distribution of set A is a normal distribution
The data in set A is given as:
1 3 3 2 4 0 4 3 3 5 2
Represent the dataset as a plot, as follows
0
1
2 2
3 3 3 3
4 4
5
Notice that the plot above increase from 0, then reaches a maximum at 3, and then decreases from 3 to 5
This implies that it follows a bell curve.
When a distribution follows a bell curve, such data is a normal distribution.
Hence, the distribution is a normal distribution
Read more about normal distribution at:
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which ordered pairs is a solution to the equation y=4x-17? (it’s more then one )
Answer:
(1,-13) (4,-1) (7,11)
Step-by-step explanation:
Those are all the correct order pairs!!
hope this helps!
Simplify 144 square root.
Answer:
sqrt(144) = ±12
Step-by-step explanation:
sqrt(144)
What number, when multiplied by itself, gives 144
12*12 = 144
-12*-12 = 144
sqrt(144) = ±12
Step-by-step explanation:
Rewrite 144 as 12 by2
√ 12 raise 2
Pull terms out from under the radical, assuming positive real numbers.
12
What does the - 8 do in the function k(x)?
k(x) = x^2 - 8
Answer:
the negative 8 is the y-intercept of the equation. This means that this is y value of where 0 is on the x-axis. The point for the y-intercept is (0,8)
what is the slope and y-intercept of y=4x+2
Answer:
slope: 4
y-intercept: 2
Step-by-step explanation:
We are given an equation, y = 4x + 2, and we are asked to find the slope and y-intercept of the line. Looking carefully, we can see that the equation is given to us in slope-intercept form.
Slope-intercept form is:
y = mx + b
where m is the slope and b is the by-intercept.
Knowing this, we can find that 4 is the slope of the line and 2 is the y-intercept.
I hope you find my answer and explanation to be helpful. Happy studying.
The diagram at the right shows a path through a garden.
The approximate length of the path, p, can be found with the formula
[tex]} p^{2}[/tex] =[tex]8^{2}[/tex] + [tex]10^{2}[/tex]
Which of the following measures is closest to the length
of the path?
A. 10 m
B. 12 m
C. 13 m
D. 18 m
Answer: B about 13 m
Step-by-step explanation:
Calculate 8² = 64 and 10² = 100 Add to get 16
Then get √164 = =12.80624847
Round up to 13.
There were 3 boys for every 4 girls how many student i all went the trip
Answer:
7
Step-by-step explanation:
Answer:
it depend on how many students there were in total so you can know how many boys and girls
Step-by-step explanation:
Find the value of x.
55°
79°
110°
x°
Answer:
i think its 158
Step-by-step explanation:
i think what theyre doing here is a pattern because
79-55=24 and 110-79=31 which has no pattern but when u subtract 55 from 110 you get 110-55=55 so i just multiplied 79 by 2 getting the answer 158.
i will give u brainliest!
Answer:
(DOES NOT BELONG) Is Rational
(DOES NOT BELONG) Is not Irrational
(DOES NOT BELONG) Is not an integer
(DOES NOT BELONG) Not a Whole
(DOES NOT BELONG) Not Natural
Step-by-step explanation:
This is a fraction with a square root.
Fractions:
Are Not Whole (square root cancels this)
Are Rational BUT since this has a square root, it is not.
Are not natural
Are not integers (Whole numbers that ARE NOT fractions)
So basically from what I have learned, square root cancels literally everything.
1-2 Properties of Operations: I can use properties of numbers to rewrite expressions. Type the name of the property that each equation represents.
5) 12 + 8 = 8 + 12 The property is
6) 19 + (42 + 8) = (19 + 42) + 8 The property is
7) 24 + 0 = 24 and 36 x 1 = 36 The property is
help me pleaseee
Solve the formula for the variable w.
P = 2l + 2w
Answers:
A. w=p-1
B. w=p/2+1
C. w=p/2-1
D. w=p/2-1/2
Answer: w=p/2-1
Step-by-step explanation:
I just took the test