A jar contains 18 strawberry, 24 cherry, and 19 lime-flavored candies. The rest of the candys are chocolate there are 82 candys in all . if n represents the number of chocolates in the jar, what equation could you use to find n?

Answers

Answer 1

The number of chocolates in the jar is given by the equation n = 21 chocolates

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Let the number of chocolates be n

Substituting the values in the equation , we get

The number of strawberries in the jar = 18

The number of cherries in the jar = 24

The number of lime candies in the jar = 19

The total number of candies in the jar = 82 candies

So , the equation will be

Number of strawberries in the jar + number of cherries in the jar + number of candies in the jar + number of chocolates = 82

Substituting the values in the equation , we get

18 + 24 + 19 + n = 82

On simplifying the equation , we get

n + 61 = 82

Subtracting 61 on both sides of the equation , we get

n = 21 chocolates

Hence , the equation is n = 21 chocolates

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ9


Related Questions

Diane pays $3.84 for a bag of 16 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.

Answers

your answer is 24 cents

Find the next three terms in the following arithmetic sequence.

-4, 5, 14, 19 …

Answers

The next three terms in the following arithmetic sequence -4, 5, 14, 19 … include the following:

Term 5 = 32.

Term 6 = 41

Term 7 = 50

How to calculate an arithmetic sequence?

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 5 - (-4)

Common difference, d = 9

Next, we would determine the next three terms as follows:

a₅ = a₁ + (n - 1)d

a₅ = -4 + (5 - 1)9

a₅ = 32

a₆ = a₁ + (n - 1)d

a₆ = -4 + (6 - 1)9

a₆ = 41

a₇ = a₁ + (n - 1)d

a₇ = -4 + (7 - 1)9

a₇ = 50

Read more on arithmetic sequence here: brainly.com/question/24989563

#SPJ1

A construction worker places 60 bricks to make a wall. If he places 6 bricks in each column, how many columns are there?(1 point)

Answers

Answer:

10 columns

Step-by-step explanation:

[tex]\frac{60}{6}=10[/tex] columns

8x+12y=−96 into slope intercept from

Answers

Answer:





y = -(8/12)x - 8

What is 576 square root by division method?

Answers

Answer:

  √576 = 24

Step-by-step explanation:

You want to find the square root of 576 by the long division method.

Method

The attachment shows the result of applying the method.

The dividend is marked off in 2-digit groups working outward from the decimal point. An overline is typically used. Here, 76 is the group closest to the decimal point, and the next "group" is 5The integer part of the square root of the leftmost 2-digit group is written as the leftmost digit of the root. Here the integer part of the square root of 5 is 2, so that is the first root digit.The quotient digit is appended to the divisor, and the result is multiplied by the root digit. For the first step here, the digit 2 is appended to 0, and multiplied by the root digit 2. The product, 4, is subtracted from the dividend so far, and the next 2-digit group is appended to the result to form the next "dividend."The root so far is doubled and written as the first digits of the new divisor. This will be 2·2 = 4, with space left to append the next root digit: 4_.The next root digit is the largest integer that can be appended to the divisor, and multiplied by that divisor to obtain a value that is at most equal to the "dividend." Here, the second digit of the root is 4, and 44 · 4 = 176. This value is subtracted from the dividend resulting from step 3. Here, they are equal, so the difference is zero, and we're done. If there are more digits and/or the difference is not zero, then the process is repeated from step 3.

The root of 576 is 24.

Linear equations test

Answers

-3/4 is slope of the linear equation 3x+4y=5.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The standard form for linear equations in two variables is Ax+By=C.

3x+4y=5 is a linear equation in standard form.

4y=5-3x

Divide both sides by 4

y=5/4-3/4x

y=-3/4x+5/4

The slope of the equation is -3/4.

Hence, the  slope of the linear equation is -3/4.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ9

The complete question is given below:

Find the slope of  linear equation 3x+4y=5?

An airplane covers 2 124 kilometres in 6 hours. How many minutes does it take to cover 1 770
kilometres?

Answers

Answer:

Step-by-step explanation:

It would take 300 minuets

All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number. How many 3 digit dropdown numbers are there?

Answers

Answer:

  112

Step-by-step explanation:

You want the number of 3-digit "dropdown numbers".

Dropdown number

A "dropdown number" has distinct digits, one of which is the average of all digits.

We can count the number of dropdown numbers by considering the digit that is the average of the rest. For that digit (n), the number of possible choices of the other digits is the lesser of (n) or (9-n). For example, for n=2, we can have other digit pairs of (0, 4) or (1, 3). For n=6, we can have other digit pairs of (5, 7) or (4, 8) or (3, 9).

Counting

The value of n may range from 1–8, inclusive, so the number of digit triples will be 2(1 +2 +3 +4) = 20. Each triple of digits can be arranged 6 ways, for a total of 20·6 = 120 numbers of 3-digits.

Of those, 8 numbers will have a leading 0, so may not count as 3-digit numbers. That leave a total of 120 -8 = 112 3-digit dropdown numbers.

__

Additional comment

The first 5 in numerical order are ...

  102, 120, 123, 132, 135

The last 5 are ...

  957, 963, 975, 978, 987

In general, a number on the list, m, has a corresponding number 999-m also on the list. The exceptions are numbers that have a leading digit of 0.

9th grade math i need help in

Answers

The fourth term in the sequence is 7.

What is Geometric Progression?

Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.

This ratio is common ratio.

Given is the first term of a sequence.

c(1) = 56

Also, there is given an nth term of the sequence.

c(n) = c(n - 1) [tex]\frac{1}{2}[/tex]

This means that every term in the sequence is the half of the preceding term.

So this is a geometric sequence with a common ratio of 1/2.

nth term of a geometric sequence = a. rⁿ⁻¹, where a is the first term and r is the common ratio.

Given, first term = 56 and we found r = 1/2

c(4) = 56 × ([tex]\frac{1}{2}[/tex])⁴⁻¹ = 7

Hence the fourth term in the given sequence is 7.

Learn more about Geometric Progression here :

https://brainly.com/question/30447051

#SPJ1

What are the equations of the
asymptotes of the functions
f(x) =1/x-5 +3? What are the
domain and range?

Answers

Step-by-step explanation:

I am in class 7 If I know I tell you I am go to ask my teacher

Answer:

Domain:(−∞,5)∪(5,∞),{x|x≠5}

Range:(−∞,3)∪(3,∞),{y|y≠3}

Step-by-step explanation:

??????

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

I think its a is one of them, im not completely sure tho

Step-by-step explanation:

which terms are used to describe events that have NO outcomes in COMMON?

Answers

Events that have no outcomes in common  are said to be disjoint or mutually exclusive.

Two sets are known to be mutually exclusive when they have no common elements. Mutually exclusive events are those that cannot take place at the same moment.

If two events are considered disjoint events, then the probability of both events occurring at the same time will be zero.

Set A = {2, 4, 6, 8, 10, 12, 14, 16}

Set B = {1, 3, 5, 7, 9, 11, 13, 15}

A and B do not have any numbers in common, so P (A ∩ B) = 0. Therefore, A and B are mutually exclusive.

To know more about Probability

https://brainly.com/question/15583528

#SPJ4

Shondra takes notes in class.



Three entries in Shondra’s notes are not in the right place. What can Shondra do to correct her notes?

Answers

Step-by-step explanation:

What notes are you speaking of?

What I would do is somehow put an arrow

for each circle find the exact circumference in terms of pi 3mm 7mm

Answers

The AB intersects circle P if PA is 7mm and PB is 3mm it must exit the circle, and it has 2 contact points.

PA is longer than the radius of the circle so Point A must be outside of the circle.

What is the meaning of intersecting circles?

Two or more circles intersect at one point. Two circles can be tangent to each other in two different ways.

here, we have,

We have given that,

AB lies in the same plane as circle P, which has a radius of 6 mm.

PB is less than the radius of the circle so Point B must be inside the circle.

Since the ray is going from A to B it is coming inside the circle and continuing in the other direction.

Therefore, it must exit the circle, giving us 2 contact points.

To learn more about the circle visit:

brainly.com/question/24375372

#SPJ1

what is the value of 77 degrees f in c?

Answers

The value of 77 degrees Fahrenheit (°F) is equal to 25 degrees Celsius (°C).

The conversion from Fahrenheit to Celsius involves a simple mathematical formula, which is as follows:

°C = (°F - 32) x 5/9

In this formula, °F represents the temperature in degrees Fahrenheit, while °C represents the temperature in degrees Celsius.

To convert 77 degrees Fahrenheit to Celsius, we first plug in the value of 77 for °F:

°C = (77 - 32) x 5/9

Next, we simplify the expression inside the parentheses:

°C = 45 x 5/9

We can simplify this further by multiplying 45 and 5/9:

°C = 225/9

We can then simplify this fraction by dividing both the numerator and denominator by the greatest common factor, which is 9:

°C = 25

Therefore, we conclude that 77 degrees Fahrenheit is equivalent to 25 degrees Celsius.

To learn more about Fahrenheit please click on below link        

https://brainly.com/question/516840

#SPJ4

Can I please have some help? THanks

Answers

By using the function rule, the missing values in table should be completed as follows;

x       -2       -1      0      1       2

y       -16      -6     4      14     24

How to complete the table?

In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = -2, the y-value of this linear function is given by;

-10x + y = 4

y = 10x + 4

y = 10(-2) + 4 = -16.

When the value of x = -1, the y-value of this linear function is given by;

y = 10x + 4

y = 10(-1) + 4

y = -6.

When the value of x = 0, the y-value of this linear function is given by;

y = 10x + 4

y = 10(0) + 4

y = 4.

When the value of x = 1, the y-value of this linear function is given by;

y = 10x + 4

y = 10(1) + 4

y = 14.

When the value of x = 2, the y-value of this linear function is given by;

y = 10x + 4

y = 10(2) + 4

y = 24.

Read more on linear function here: brainly.com/question/27325295

#SPJ1

While shopping after her birthday, Annie bought 2 pairs of jeans and 3 shirts and spent $127. Her twin sister Hallie bought the same items consisting of 1 pair of jeans and 4 shirts and spent $116 how much does one pair of jeans cost and how much does a shirt cost

Answers

Let's use variables to represent the cost of one pair of jeans and the cost of one shirt.

Let's use j for the cost of one pair of jeans and s for the cost of one shirt.

From the problem, we know that:

2j + 3s = 127 (Annie's purchase)
1j + 4s = 116 (Hallie's purchase)

We can use these two equations to solve for j and s. One way to do this is to use substitution. Solving one of the equations for one of the variables and then substituting that expression into the other equation, we get:

j = 116 - 4s (from the second equation)
2(116 - 4s) + 3s = 127 (substituting into the first equation)

Simplifying and solving for s, we get:

232 - 8s + 3s = 127

-5s = -105

s = 21

Now that we know the cost of one shirt is $21, we can substitute that value back into one of the equations to solve for j:

1j + 4(21) = 116

1j + 84 = 116

1j = 32

Therefore, one pair of jeans costs $32.

So, the cost of one pair of jeans is $32 and the cost of one shirt is $21.

Answer:

The shirt costs $21

Step-by-step explanation:

2x + 3y = 127    ....eq 1

Her twin sister Hallie bought 1 pair of jeans and 4 shirts for $116.

So, x + 4y = 116     ....eq 2

Multiplying eq 2 by 2, we get :

2x + 8y = 232     ....eq 3

Subtracting eq 1 by eq 3, we get :

(2x + 8y) - (2x + 3y) = 232 - 127

5y = 105

Thus, y = 21

Putting this value of y in eq 2, we get :

x + 4(21) = 116

x = 116 - 84 = 32

Therefore, the cost of a pair of jeans = x = $32

And the cost of a shirt = $21

[TRUE or FALSE] finding a parametric description of the solution set of a linear system is the same as solving the system.

Answers

The statement is false. The solution set of a linear system can only be expressed using a parametric equation if the system has at least one solution.

Equation of this sort is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are specified as continuous and independent of other variables functions of the parameter Multiple parameters may be utilized as needed.For example, the following equation can be represented as a pair of equations in parametric form rather than the equation in Cartesian form: Parameterization, It effectively differentiates and integrates curves by converting a function into parametric form.

Learn more about parametric description

brainly.com/question/21043663

#SPJ4

Quadrilateral ABCD is similar to Quadrilateral WXYZ.
1) What is the scale factor using ABCD as the pre-image?
2) What is mZC?
3) What is mZZ?
4) What is AD?
Scale factor=
-10
m/XYZ =$7.47*
XY = 2.5 units
10
m B 5 units
N
0
B
Ws
A
WZ 3 units
D
m/CDA 75.96*
10

Answers

Answer:

Step-by-step explanation:

ur mom

Answer
1) The scale factor is 1:2
2) The measure of angle C is equivalent to 67.17
3) The measure of angle Z is equivalent to 75.96
4) AD=6 units

Explanation:
1) We’re given the measurements of XY(2.5) and BC(5), which we know are similar. We can then divide 2.5/5 and conclude that the scale factor is 1/2.
2) We’re given the measurement of angle XYZ, which is also the measurement of angle y. Since angles in similar triangle are equivalent, if y(67.17)=c, then c must be equal to 67.17.
3) This is the same concept as number 2.
4) We know that WZ=AD. Since we’re given WX(3 units), we can use the scale factor to create an equation. 3/x=1/2. Then, we cross multiply. x=6, x=AD, AD=6

HURRY PLEASE!!!
You want to fill half of the green cylinder with MONEY!


How many cubic centimeters of MONEY will half of this cylinder hold?


1.1 meters = 110 cm


Don't put the comma in your answer.

Answers

The Cylinder can hold 138, 160 cm³.

What is Volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume.

Given:

Height= 1.1 m = 110 cm

Radius= 20 cm

Now, Volume of Cylinder

= πr²h

= 3.14 x 20 x 20 x 110

= 3.14 x 44000

= 138, 160 cm³

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ1

Meginnis corporation's relevant range of activity is 3,000 units to 7,000 units. When it produces and sells 5,000 units, its average costs per unit are as follows:.

Answers

As per the concept of average, the cost of producing 6,000 units is $79,200.

The average, also known as the mean, is a mathematical representation of a set of data. It is calculated by adding all the values in the set and dividing the result by the number of values in the set.

When it comes to calculating the total amount of direct manufacturing cost incurred when 6,000 units are produced, it is important to use the average cost per unit. To do this, we need to multiply each average cost per unit by the number of units produced.

The total direct manufacturing cost incurred can be calculated as follows:

Direct materials = $5.20 * 6,000 = $31,200

Direct labor = $3.75 * 6,000 = $22,500

Variable manufacturing overhead = $1.65 * 6,000 = $9,900

Fixed manufacturing overhead = $2.60 * 6,000 = $15,600

The total direct manufacturing cost incurred is $79,200.

Complete Question:

Meginnis Corporation's relevant range of activity is 3,000 units to 7,000 units. When it produces and sells $5,000 units, its average costs per unit are as follows:

Average Cost per Unit

Direct materials $5.20

Direct labor $3.75

Variable manufacturing overhead $1.65

Fixed manufacturing overhead $2.60

Fixed selling expense $0.50

Fixed administrative expense $0.40

Sales commissions $1.50

Variable administrative expense $0.50

If 6,000 units are produced, the total amount of direct manufacturing cost incurred is closest to:

To know more about average here.

https://brainly.com/question/16956746

#SPJ4

Superior segway tours gives sightseeing tours around chicago, illinois. it charges a one-time fee of $60, plus $28 per hour. what is the slope of this situation? a. 28 b. 32 c. 60d. 88

Answers

Answer:

the answer is (a) 28.

Step-by-step explanation:

The given situation can be represented by a linear equation of the form:

Cost = mx + b

where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).

In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:

m = $28/hour

Therefore, the answer is (a) 28.

a jet travels 470 miles in 5 hours at this rate how far could the jet fly in 8 hours

Answers

Jet could fly a distance of 752 miles in 8 hours if it travels at the same rate.

What is Speed?

Speed is defined as the unit rate in terms of distance travelled and the time taken to travel the distance.

Speed has only magnitude and no direction and therefore is a scalar quantity.

Given that,

a jet travels 470 miles in 5 hours.

Distance travelled = 470 miles

Time taken to travel the distance = 5 hours

Speed of the jet = 470 miles / 5 hours = 94 miles per hour

Given that jet is travelling at the same rate. So the speed is constant.

We have to find the distance travelled in 8 hours.

Let d be the distance.

Speed = Distance / Time

Distance = Speed × Time

d = 94 × 8

d = 752 miles

Hence the distance travelled is 752 miles in 8 hours.

To solve more problems about Speed, click on the link :

https://brainly.com/question/13908224

#SPJ9

Emma created the poster shown below... What would be the dimensions of the poster at fraction 1 over 4 times its current size?

Answers

Answer:

6w by 9L

Step-by-step explanation:

24 x 1/4=6

36 x 1/4=9

A game store salesman had $3,500 in total monthly sales last month. He made $175
in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?

1. 3%

2. 4%

3. 5%

4. 6%

Answers

I think the answer is 5%

Answer:

4.6%

Step-by-step explanation:

3500+175 = 3675

(175/3675)×100 = 4.6%

Micah wants to know the most common style of surfboard used at Breakers Point. He surveys surfers at Breakers Point between 8:00 A.M. and 12 P.M. Select all the statements that are true about Micah’s survey.

Micah will obtain a random sample by talking to as many surfers as possible.


The population for the survey is all people who surf at Breakers Point.


Micah will not get a representative sample.


Micah's sample will be representative because anyone can surf at Breakers Point.


Micah's sample is all people who surf at Breakers Point.

Answers

The statements which are true about Micah's survey are;

Micah will not get a representative sample.The population for the survey is all people who surf at Breakers Point.

Which statements are true about Micah's sample?

As evident in the task content; Micah wants to know the most common style of surfboard used at Breakers Point.

Hence, it can be inferred that the population of the survey in this context is; all people that surf at Breakers Point.

Also, since Micah only surveys surfers between 8:00 AM and 12:00 PM, it follows that; Micah will not get a representative sample.

Read more on representative samples;

https://brainly.com/question/25142707

#SPJ1

Solve for x provide proofs pleaseee

Answers

Answer:

x = ~4.40 or [tex]\sqrt{19.37}[/tex]

Step-by-step explanation:

This is a right triangle, so we will use the Pythagorean Theorem.

The theorem goes as follows: [tex]a^2 + b^2 = c^2[/tex]

Let's set x as the a value in the theorem. Plug in 6.8 for b, and 8.1 for c.

[tex]x^2 + (6.8)^2 = (8.1)^2[/tex]

Then, simplify!

[tex]x^2 + 46.24 = 65.61[/tex]

Subtract 46.24 on both sides.

[tex]x^2 = 19.37[/tex]

Take the square root of both sides

[tex]x =\sqrt{19.37}[/tex]

Voila!

The base of a right rectangular prism and a rectangular pyramid is 4 [tex]cm^{2}[/tex]. The height of the pyramid is 3 times larger than the prism. How does the volume of the pyramid compare to the volume of the prism?

Question 3 options:

A) The volume of the pyramid is 3 times larger than the prism.


B) The volume of both shapes are the same.


C) The volume of the pyramid is 9 times larger than the prism.


D) The volume of the pyramids is 1/3 times larger than the prism.

Answers

Yhe volume of both the prism and the pyramid are the same. The right response is B, which states, "The volume of both shapes is the same."

What is the straightforward meaning of volume?

Three-dimensional space is occupied by everything. Here, the volume of the space is calculated. A three-dimensional object's volume is the area included inside its bounds. It is also referred to as an object's capability occasionally.

[tex]\mathrm{h_{py} = 3 \times h_p}[/tex]

The volume of the prism is given by:

[tex]V_p[/tex] = base area × height = 4 cm² × [tex]h_p[/tex]

The volume of the pyramid is given by:

[tex]\mathrm{V_{py}}[/tex] = (1/3) * base area * height = (1/3) * 4 cm² * [tex]h_{py[/tex]

Using the equation for [tex]h_{py[/tex] from above, we can substitute:

[tex]\mathrm{V_{py}}[/tex]  = (1/3) * 4 cm² * 3 *  [tex]h_p[/tex] = 4 cm² *  [tex]h_p[/tex] = [tex]V_p[/tex]

So the volume of both the prism and the pyramid are the same. The right response is B, which states, "The volume of both shapes is the same."

Learn more about volume

brainly.com/question/463363

#SPJ1

PLEASE HELP. NEED ANSWER ASAP. CANT FAIL.

Answers

There are two imaginary roots and one real root of the equation

What is the root of an equation?

Generally, In mathematics, the root of an equation is a value that satisfies the equation. In other words, it is the value of the variable for which the equation is true. For example, in the equation x^2 - 4 = 0, the roots are +2 and -2, because when either of these values is substituted for x, the equation becomes true.

There are different methods for finding roots of an equation, depending on the type of equation. For example, some equations can be solved by factoring, while others require the use of more advanced techniques such as the quadratic formula or numerical methods like the Newton-Raphson method.

In general, finding the roots of an equation is an important task in mathematics and has many practical applications in fields such as engineering, physics, and finance.

The roots of the equation  are

x=-2,3+2 i, 3-2 i

Read more about the root of an equation

https://brainly.com/question/12029673

#SPJ1

ASAP!!! How do I solve this
Complete the equation of the circle that includes the points (-5,4), (3,4), and (3,0)

Answers

The equation of circle is ( x + 1 )² + ( y - 2 )² = 20

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the points on the circle be A ( -5 , 4 ) , B ( 3 , 4 ) and C ( 3 , 0 )

Now , the equation of the circle is of the form

ax + by + c = x² + y²

Substituting the values in the equation , we get

-5a + 4b + c = 41   be equation (1)

3a + 4b + c = 25   be equation (2)

3a + c = 9   be equation (3)

Subtracting equation (2) from equation (1) , we get

-8a = 16   be equation (4)

Divide by -8 on both sides of the equation , we get

a = -2

Substitute the value of a in equation (3) , we get

3 ( -2 ) + c = 9

-6 + c = 9

c = 15

Substitute the value of a and c in equation (2) , we get

-6 + 4b + 15 = 25

4b + 9 = 25

4b = 16

b = 4

So , the value of a , b and c are -2 , 4 and 15 respectively

Now , the equation of circle will be

-2x + 4y + 15 = x² + y²

On simplifying the equation , we get

x² + y² + 2x - 4y - 15 = 0

( x² + 2x + 1 ) - 20 + ( y² - 4y + 4 ) = 0

So , the equation will be

( x + 1 )² + ( y - 2 )² = 20

Hence , the equation of circle is ( x + 1 )² + ( y - 2 )² = 20

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ9

Other Questions
what type of electromagnetic wave is involved in communication?a.Radio waveb.infrared wavesc.ultraviolet wavesd.gamma rays calculate and match the relative frequencies for the following situation. sixty adults with gum disease were asked the number of times per week they used to floss before their diagnosis How long does it take to get an interview after you apply at Shook, Hardy & Bacon LLP? TRUE/FALSE. Basic principles of financial management suggest that attempting to maximize a bank's stock value is the key objective for banks which should have priority over all other goals. in one trial, you dissolve 0.1052 g of na2co3 in approximately 25 ml of water. titrating with your solution of hcl requires 13.23 ml to reach the equivalence point. report the molar concentration of hcl to the correct number of significant figures. your solution of hcl is lot number b5. which dynasty did cleopatra vii philopator belong to? Count forward by fives.56,Count forward by tens.270, Sociologists have identified an emerging set of five interrelated values in american society. What are these emerging values?. How do you visualizationa Kruskal algorithm? Hormones...A) travel freely in the blood for long periods of timeB) activity depends on the amount secreted compared to the amount excretedC) all can cross cell membranesD) only act in the brain Which of the following statements about students with exceptionalities is true?O An IEP can be written for any students whose parents request one, even without a disability diagnosis.O Both IEPs and 504s seek to place a student in the least restrictive learning environment possible.O Interventions involve helping students work around their deficit areas by using their strengths.O Exceptionalities like cerebral palsy appear later in life and are often diagnosed by a child's teachers. What is the ICD-10 for dog bite left hand? How do you write the electron configuration for CA? A force of 60 N is exerted on one end of a 1.0-m-long lever. The other end of the lever is attached to a rotating rod that is perpendicular to the lever. By pushing down on the end of the lever, you can rotate the rod. If the force on the lever is exerted at an angle of 3030 , what torque is exerted on the lever? (sin30=0.5;cos30=0.87;tan30=0.58)(sin30 =0.5;cos30 =0.87;tan30 =0.58) A. 30 N B. 52 N C. 60 N D. 69 N What is the percent composition of hydrogen In hydrosulfuric acid? [also the rest of the questions if youre up for the challenge] In "Arrangement in Black and White," the woman is a(n) _____ character.considerateobservantsympatheticironic which term means the kidneys have stopped functioning? how are the changes significant in Daniels story in chapter 5 What are 3 guidelines to follow when writing SOAP notes? What is the ICD-10 code for Squamous cell carcinoma perineum?