Answers
multiply both sides by 6
6(5/6)-6(1/3)n=6[p(5-2n)]
5-2n=6p(5-2n)
6p=1
p=1/6
Related Questions
Write the center and radius for the following circles
Answers
Given:
The equations of circle are
4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
5. [tex](x-1)^2+(y+2)^2=28[/tex]
6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
To find:
The center and radius for the given circles.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.
4.
The equation of the circle is
[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]
The standard form of this circle is
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]
[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]
Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].
5.
The equation of the circle is
[tex](x-1)^2+(y+2)^2=28[/tex]
The standard form of this circle is
[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]
[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]
Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].
6.
The equation of the circle is
[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]
The standard form of this circle is
[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]
[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]
Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].
On the first 3 of 4 consecutive days, Gary delivered 78, 52, and 70 newspapers. How many newspapers did Gary deliver on the fourth day, if the average number of newspapers he delivered per day during the four-day period was 72?
A.
70
B.
72
C.
80
D.
88
E.
Given the number of newspapers Gary delivered on
the first three days, he cannot average exactly 72 per
day for the four-day period.
Answers
Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
7 cm, 9 cm, 11 cm
This is Irequired question
PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3
Answers
Answer:
1. 6cm , 8cm , 10cm
2. 3cm , 4cm , 5cm
Step-by-step explanation:
1/2-1/6(4-1/3) simplify
Answers
Answer:
3 5/7
Step-by-step explanation:
The numbers are 10 feet, 8 feet, 1 foot
A right rectangular prism is shown. Find the surface area of this prism.
A) 80 square feet
B) 164 square feet
C) 196 square feet
D) 220 square feet
Answers
Answer
196
Step-by-step explanation:
Calculate the perimeter of a right scalene triangle with a hypotenuse of 10 and a leg of 6. Enter just the number for your answerdo not units
Answers
Answer:
24
Step-by-step explanation:
What are the solutions of this quadratic equation? -3x2 + 1 = 3x - 2
Answers
The answer is B.............,..,,.....
The solutions of the quadratic equation[tex]-3x^2 + 1 = 3x - 2[/tex] are -1/3 and 1.
To solve this equation, we can use the quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
In this case, the coefficients are a = -3, b = 3, and c = -2. Substituting these values into the quadratic formula, we get:
[tex]x = \dfrac{(-3 \pm \sqrt{3^2 - 4 \cdot -3 \cdot -2})}{2 \cdot -3}[/tex]
[tex]x = \dfrac{(-3 \pm \sqrt{27 + 24})}{-6}[/tex]
[tex]x &= \dfrac{(-3 \pm \sqrt{51})}{-6} \\x&= \dfrac{(-3 \pm 3\sqrt{7})}{-6}[/tex]
[tex]x = -1/3 or 1[/tex]
Therefore, the solutions of the quadratic equation are -1/3 and 1.
Here is a breakdown of the steps involved in solving for the solutions of the quadratic equation:
We are given the quadratic equation [tex]-3x^2 + 1 = 3x - 2[/tex]
We can identify the coefficients a, b, and c.
We can substitute these values into the quadratic formula.
We can simplify the expression in the quadratic formula.
We can solve for x.
The solutions are -1/3 and 1.
To know more about quadratic equation:
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is 0.24 greater than 0.42?
Answers
Answer:
yes it is greater
Step-by-step explanation:
what is the least common denominator of 1/4 and 1/6
Answers
Answer:
Least common denominator is 12
Step-by-step explanation:
1/4=3/12
1/6=2/12
b) After allowing 16 % discount on the marked price of an article and levying 13 % value
added tax, the price of the article becoipes Rs 9,492. Find the value added tax.
Answers
Answer:
135.15
Step-by-step explanation:
let SP be x
sp with vat=sp + vat % of sp
9492=x+13/100*x
x=1039.6
vat=vat% of sp
=13/100*1039.6
=135.15
evaluate the expression
I 13 I + I -2 I
Answers
Answer:
15
Step-by-step explanation:
Apply absolute rule: | a | = a, a ≥ 0
| 13 | = 13
= 13 + | -2 |
| -2 | = 2
= 13 + 2
= 15
will mark brainiest, please explain
Answers
Imagine cutting this shape into two semi-circles and one rectangle.
------------------------------------------------------------------------------------------------------
Each semi-circle has a diameter of 36 metersThe radius would be (36/2) = 18 meters.--------------------------------------------------------------------
We know the area of a whole circle which is π[tex]r^{2}[/tex]
The formula of area of a semi-circle: 1/2(π[tex]r^{2}[/tex])because a semi-circle is basically half of the whole circle!
However, since we have two equal semi-circles...we can just put them together and solve for the whole circle's area.
for reference:
1/2(π[tex]r^{2}[/tex]) + 1/2(π[tex]r^{2}[/tex]) = 2/2(π[tex]r^{2}[/tex]) = π[tex]r^{2}[/tex]
----------------------------------------------------------
First, the area of rectangle: length times width = 84 x 36 = 3024 square meters
Anyways, since we have to sub in 3.14 for π
Area of a whole circle: (3.14 x [tex]r^{2}[/tex]) = (3.14 x [tex]18^{2}[/tex]) = 1017.36 square meters
-----------------------------------------------------------
3024 + 1017.36 = 4041.36 square meters
ANSWER: JI'll give brainliest pleassee answer right!!
Answers
Answer:
Step-by-step explanation:
1 dined esta Ricardo
2donde vamos
3que class de gusta mas
4que ensena el profesor
5como son Los estudiantes
Pls help this is due today I need help ASAP if its right i will give brainlest
Answers
Answer:
20.76 ✨
hope that helped!!!!
Answer:
i think it's $60.68
Step-by-step explanation:
if I'm wrong plz correct me
h( t ) = 3t - 6 which function increases faster
Answers
The side links of a triangle are 3 m, 4 m common 5 m. Suppose the side links are multiplied by four. Describe the change in perimeter
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Side links are : 3m, 4m, 5m
The perimeter of a triangle = (a + b + c)
Perimeter 1= (3 + 4 + 5) = 12m
If the side links are multiplied by 4 :
3*4 = 12 m
4*4 = 16m
5*4 = 20m
Perimeter2 = (12 + 16 + 20) = 48 m
Comparing the perimeters:
Perimeter 1 = perimeter 2
12 = 48
Hence, perimeter also increases by 4 folds
12= 3x X 6 what is the valu of the x ?
Answers
Answer:
x = 2/3
Step-by-step explanation:
I could not type the answer out but I took a picture of it.
Hope this helps you!
The following dot plot Represents student scores on both the Unit 1 and Unit 2 math test. Scores are in whole number increments.
Part 1: Looking at the data plots, which test do you think the students scored better on? Do you think one of the tests
has more variation than the other or is the variation about the same for both tests? Use complete sentences in your
answer and explain your reasoning.
Part 2: Calculate the mean (rounded to the nearest whole number) and mean absolute deviation for the Unit 1 test.
Part 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete sentences in your
answer and explain your reasoning.
Answers
I answered in a comment and had more as an answer but he deleted it I don't know what I put for the rest so sorry about that
A tent company makes one kind of tent that is shaped like a triangular prism. The approximate dimensions of the tent are 30 times 1/2 plus 30 times 1/2 plus 49.5 plus 49.5 plus 54 equals?
Answers
Answer:
The answer is below
Step-by-step explanation:
A triangular prism is a polyhedron (three dimensional shape) made up of two equal triangles, two equal rectangle and a base rectangle.
The total surface are of a triangular prism is given as:
A = bh + 2ls + lb
where b is the base of the triangle, h is the height of the triangle, l is the length of the base rectangle and s is the length of the slant side of the triangle.
Given that:
b = 6 ft, s = 5.5 ft, h = 5 ft, l = 9 ft.
Therefore:
A = (6 * 5) + 2(9 * 5.5) + (9 * 6) = 183 ft²
Therefore 183 ft² of fabric is needed to make the tent
Is the answer to the problem below correct? If yes, why? If not, what mistake(s) were made in solving the
problem an what is the correct answer?
Step 1: 12 = -2(x - 4) - 8
Step 2: 12 = -2x - 8 - 8
Step 3: 12 = -2x - 16
Step 4: 28 = -2x
Step 5: 26 = x
Answers
9514 1404 393
Answer:
x = -6 (correct answer)
mistakes were made in Step 2 and Step 5.
Step-by-step explanation:
The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.
Step 1: 12 = -2(x -4) -8
Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2
Step 3: 12 = -2x . . . . . . . . . . . like terms combined
Step 4: -6 = x . . . . . . . . . . . . . divide by -2
__
Check
12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK
__
Comment on other mistake
In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.
An additional mistake was made in that the answer was not checked.
Find the circumference and area of each circle to the nearest tenth. Use 3.14 for pi. 1.) radius = 1.7 2.) radius = 14 ft 3.) 9 in
Answers
Answer:
Step-by-step explanation:
Circumference of a circle = 2πr
Area of circle = πr²
Here, r = radius of the circle
1). For radius = 1.7 units
Circumference = 2π(1.7)
= 2(3.14)(1.7)
= 10.676
≈ 10.7 units
Area of the circle = π(1.7)²
= 3.14(1.7)²
= 9.0746
= 9.1 units²
2). For radius = 14 ft
Circumference of the circle = 2π(14)
= 28(3.14)
= 87.92
≈ 87.9 ft
Area of the circle = πr²
= 3.14(14)²
= 615.44
≈ 615.4 ft²
3). For radius = 9 in.
Circumference = 2π(9)
= 18π
= 56.52
≈ 56.5 in
Area of the circle = π(9)²
= 81π
= 254.34 in²
≈ 254.3 in²
a garrison of 300 men had provision of food for 50 days. A reinforcement of 200 men arrived. find the number of days the food will last
Answers
Answer:
30
Step-by-step explanation:
300 + 200 = 500
500 / 50 = 10
300 / 10 = 30
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Discuss the history of algebra. Discuss some of the key developments in the field of algebra
Answers
Seafloor spreading creates new rock on the __________ and pushes old rock to the__________.
Please Help! This is due today!
Answers
Jenny started reading her book for English class at 8:03 p.m. and she started on page 24. At 8:29 p.m., Jenny stopped reading and was on page 37.
what is the slope?
Answers
Answer:
26 min
Step-by-step explanation:
The slope of the data will be equal to 2 for the book reading.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run of the line.
Given that Jenny started reading her book for English class at 8:03 p.m. and she started on page 24. At 8:29 p.m., Jenny stopped reading and was on page 37.
The slope of the data will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 29 - 3) / ( 37 - 24)
Slope = 2
Therefore, the slope of the data will be equal to 2 for the book reading.
To know more about slopes follow
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3.
The value of (x + 6)(x + 6) is
Answers
Answer:
We do simple multiplication to get x² + 12x + 36.
Hope this helps!
Answer:
[tex]\huge\boxed{\sf x^2 + 12x + 36}[/tex]
Step-by-step explanation:
[tex]\sf (x+6)(x+6)\\\\= x(x+6) + 6(x+6)\\\\= x^2 + 6x + 6x + 36\\\\= x^2 + 12x + 36\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18079y^2 -24y +16 is the area find the side length
Answers
Factor using the perfect square rule.
( 3 y − 4 ) ^2
Answer: 3x+ 4 units
Step-by-step explanation:
9x^2 + 24x + 16 =(3x +4) (3x + 4)
lenth of each side 3x+ units
Find number of possible 5-card hands that contain
3 face cards and 2 other cards (none of which are face cards) all 5 of the same suit
Answers
Answer:
i think its 4
Step-by-step explanation:
there are 12 face cards in a deck and the rest are no faced. Since there is 3 face cards in each 5 card thing, 12/3 = 4. then you could just fit in any 2 no faced cards in since there are many. hope that helps
if 2x^2 + 6x = 36 what are the possible values of x? specifically 2 answers?
Answers
Step-by-step explanation:
2x^2+6x=36
x^2+3x=12
x^2+3x-12=0
x=(-3+(57)^0.5)/2 or x=(-3-(57)^0.5)/2
a universally accepted principle which does not require proof.