PLEASE HELP!! I NEED IT DONE ASAP!!
Write the sentence as an equation:
367 equals the quotient of n and 204

Answers

Answer 1

367= n/204 ????? maybe

Answer 2
367=204n is the correct answer

Related Questions

How many real zeros does the
following quadratic function have?
f(x) = 6x² + 11x + 5
Remember the quadratic formula: x = =b+√b²-4ac
2a
A. no real zeros
B. one real zero
C. two real zeros

Answers

[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{+11}x\stackrel{\stackrel{c}{\downarrow }}{+5} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ 11^2 - 4(6)(5)\implies 121-120\implies 1\qquad \textit{two real solutions}[/tex]

GIVE SIMPLE WORKING OUT PLS:)

Answers

Answer:

a) x = 60°

b) x = 60°

Step-by-step explanation:

In a triangle, the sum of all angles add up to 180, hence the equations,

180°-___-____ = ___

a)

180° - 50° = 130°

130° - 70° = 60°

a) x = 60°

b)

180° - 30° = 150°

150° - 90° = 60°

b) x = 60°

Identify the anion which;
1. Gives a white precipitate with silver nitrate;
2. Does not decolourise permanganate solution;
3. Gives no reaction with concentrated sulphuric acid.
4. Gives a white precipitated with barium chloride, which does not re-dissolve in dilute hydrochloric acid. ​

Answers

Silver chloride is precipitated as a white substance that is soluble through ammonium hydroxide when chlorides respond to silver nitrate solution state.

2) C cannot behave as both a reducing agent in CO32 because it has the highest oxidation state of +4, whereas every other compound are able to decolorize KMnO4 solution.

3) Conc. H2SO4 reacts with Cl, Br, I, NO3, C2O42, and CH3COO but not with dil. producing recognizable gases with H2SO4. Either with the diluted H2SO4 or concentrated H2SO4, SO42- and PO43- do not react.

4) White barium chloride precipitates are produced when sodium sulphate and barium chloride react. The precipitates in question are irresolvable in diluted HCl. It follows that SO42 is the anion present.

Ions that have a negative charge are called anions. They develop when non-metallic materials gain electrons. As many as one electron is gained.

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what is 8=2x+4 ............................................

Answers

Answer:

Step-by-step explanation:

8=2x+4

8-4=2x+4-4

subtract the numbers

4=2x

divide both by same factors

4=2x

4/2 = 2x/2 ("/" means upon)

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

x=2

Answer:

[tex] \sf \: x = 2[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 8 = 2x + 4

Then the value of x will be,

→ 8 = 2x + 4

→ 2x + 4 = 8

→ 2x = 8 - 4

→ 2x = 4

→ x = 4 ÷ 2

→ [ x = 2 ]

Hence, the value of x is 2.

A scale drawing has a scale of 1/4 in : 12 ft. Find the length on the drawing for the actual length. The actual length is 8 ft.
0.25 in : 12 ft
8 in : X ft

Find the value of X ft

Please show your work

Answers

Answer:

[tex]\frac{1}{6}[/tex] inches

Step-by-step explanation:

[tex]\frac{\frac{1}{4} }{12}[/tex] = [tex]\frac{x}{8}[/tex]  Cross multiply and solve for x

12x = [tex]\frac{1}{4}[/tex](8)

12x = 2  

[tex]\frac{12x}{12}[/tex] = [tex]\frac{2}{12}[/tex]

x = [tex]\frac{1}{6}[/tex]

Helping in Jesus' name.

solve for x. assume x is a 2×2 matrix. do not use decimal numbers in your answer. if there are fractions, leave them unevaluated. [−92−42]x+[3−9−96]=[−2664]x. x= [

Answers

Solution:

x = [ [5.8 -2.8] [-11.6 11.7] ]

Explanation:

To solve for x, we need to isolate the matrix x on one side of the equation. We can do this by subtracting the matrix [3 -9 -9 6] from both sides of the equation:

[−9 2 −4 2]x + [3 −9 −9 6] - [3 −9 −9 6] = [−26 6 4]x - [3 −9 −9 6]

Simplifying the matrices gives us:

[−9 2 −4 2]x = [−29 15 13 0]x

Now, we can divide both sides of the equation by the matrix [−9 2 −4 2] to isolate x:

x = [−29 15 13 0] / [−9 2 −4 2]

To divide two matrices, we need to find the inverse of the matrix in the denominator. The inverse of a 2×2 matrix is given by the formula:

A^-1 = (1/det(A)) * [d -b -c a]

Where det(A) is the determinant of the matrix A, and a, b, c, and d are the elements of the matrix. The determinant of the matrix [−9 2 −4 2] is:

det(A) = (−9)(2) - (2)(−4) = -18 + 8 = -10

So the inverse of the matrix [−9 2 −4 2] is:

A^-1 = (1/(-10)) * [2 -2 4 -9] = [-0.2 0.2 -0.4 0.9]

Now, we can multiply the matrix [−29 15 13 0] by the inverse matrix to find x:

x = [−29 15 13 0] * [-0.2 0.2 -0.4 0.9] = [5.8 -2.8 -11.6 11.7]

So the solution for x is:

x = [ 5.8 -2.8 -11.6 11.7 ]

In matrix form, this is:

x = [ [5.8 -2.8] [-11.6 11.7] ]

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The solution for x is x = [3/92/42]. This is the 2×2 matrix that satisfies the equation.

To solve for x in this equation, we need to rearrange the equation to isolate x on one side of the equal sign. We can do this by subtracting the [3−9−96] matrix from both sides of the equation and then dividing both sides by the coefficient of x, which is [−92−42]. Here are the steps:

1. Subtract [3−9−96] from both sides of the equation:
[−92−42]x + [3−9−96] - [3−9−96] = [−2664]x - [3−9−96]

2. Simplify:
[−92−42]x = [−2964−96]

3. Divide both sides by [−92−42]:
x = ([−2964−96])/([−92−42])

4. Simplify the fractions:
x = [−3/−92−4/−42]

5. Leave the fractions unevaluated, as instructed in the question:
x = [3/92/42]


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A scientist placed 8 one-celled organisms into a dish. Each cell split into 2 cells every hour. The expression 8 x 2^6 represents the number of cells after 6 hours. How many cells were in the dish after 6 hours?

Answers

Answer:

512 cells

Step-by-step explanation:

1st step using PEMDAS (parentheses exponents multiplication division addition subtraction)

You need to ask yourself if there is P (parentheses)

there are none so you see if there is E (exponents) there is which brings you to the 2nd step you need to do 2^6 which is 2×2×2×2×2×2= 64 which makes the 3rd and final step so see if there is M (multiplication) since now the equation you have is changed to 8 × 64 = 512 there is

so there should be 512 cells in the dish after 6 hours

not sure if it's correct but i tried my branliest best

Answer: The expression 8 x 2^6 represents the number of cells after 6 hours because there were originally 8 cells, and each cell split into 2 cells every hour for 6 hours.

To calculate the expression, we first calculate 2^6, which is 2 x 2 x 2 x 2 x 2 x 2 = 64.

Multiplying 8 by 64, we get:

8 x 64 = 512

Therefore, there were 512 cells in the dish after 6 hours.

Step-by-step explanation:

Two angles lie along a straight line. If ∠ m ∠ A is four times the sum of ∠ m ∠ B plus 17.5°, how many degrees is ∠?

Answers

Answer:7

Step-by-step explanation: fgrhegd

Answer:

Step-by-step explanation:

7

A scarf costs $26. 00, not including tax. The scarf is on sale for 20% off. What is the sale price of the scarf not including tax?

Answers

The sale price of the scarf not including tax for a scarf costs $26. 00, not including tax is $20.80.

To calculate the sale price of the scarf not including tax, we need to start by finding the discount applied to the original price. Since the scarf is on sale for 20% off, we can find the discount by multiplying the original price by 0.20.

Discount = 0.20 x $26.00 = $5.20

Next, we can calculate the sale price by subtracting the discount from the original price:

Sale price = $26.00 - $5.20 = $20.80

Therefore, the sale price of the scarf, not including tax, is $20.80.

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what does z equal in statistics?

Answers

The z-score of a data point, we can determine how far it is from the mean in terms of standard deviations.

In statistics, the term "z" often refers to a "z-score" or "standard score." A z-score is a measure of how many standard deviations a data point is from the mean of a data set. It is calculated using the formula:

z = (x - μ) / σ

Where x is the data point, μ is the mean of the data set, and σ is the standard deviation of the data set.

By calculating the z-score of a data point, we can determine how far it is from the mean in terms of standard deviations. This is useful in statistics because it allows us to compare data points from different data sets that may have different means and standard deviations.

So, in short, "z" in statistics typically equals the z-score or standard score of a data point.

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The formula below is used to convert a temperature in degrees Celsius, C, to a temperature in degrees Fahrenheit, F. F=1.8C + 32. The high temperature in a mountain city was 10C. What was the high temperature in degrees Fahrenheit?

Answers

Answer:

50 degrees fahrenheit

Step-by-step explanation:

(9/5(10 degrees celsius)) +32 =50

8, 16, 32, 64, ... when x = 1, 2, 3, 4 ...

Answers

Answer: f(x)=4(2)^x

Step-by-step explanation:

Just plug in 1,2,3,4.. for x and see which one fits to get 8, 16, 32, 64...

4(2)^1=8

4(2)^2=16

4(2)^3=32
4(2)^4=64

Multiply the polynomial (X+3)(x^2-2x+4) box method

Answers

Answer:

x^3+12-2x

Step-by-step explanation:

x^2.x=x^3

4.3=12

Sobra -2x

Given two numbers whose sum is zero and one number is eleven​ less than the other, determine their values

Answers

Let x be the first number and y be the second number.

From the problem statement, we know that:

The sum of the two numbers is zero, so x + y = 0.
One number is eleven less than the other, which means x = y - 11.
We can substitute the second equation into the first equation and get:

y - 11 + y = 0

Solving for y, we get:

2y - 11 = 0

2y = 11

y = 11/2

So the second number is 11/2 or 5.5, and the first number is eleven less than the second number, which is -5.5.

Therefore, the two numbers whose sum is zero and one number is eleven less than the other are -5.5 and 5.5, respectively.

PLEASE HELP ITS DUE IN AN HOUR AND I NEED HELP WITH THESE TWO QUESTIONS

Answers

Use pythagoras theorem, a²+b²=c², where c is the hypotenuse, and a and b are the smaller sides.

Therefore, (2√2)²-(√6)²=x²

therefore, square rooting both sides, noting that the square root, which is usually ±, is only positive since it's a length, x = √2

and (√10)²+(√17)²=x²

x=√27

Solve for x; -1 + 1/x + x + x^2 + … + x^n + … = 10/3

Answers

In the geometric series, the value of x is either 2.3028 or 0.4312

What is the value of x

The given series can be written in sigma notation as:

sum from n = 0 to infinity of x^n

This is a geometric series with first term a = 1 and common ratio r = x. The sum of a geometric series is given by:

S = a / (1 - r)

Substituting in the values of a and r, we get:

S = 1 / (1 - x)

Now we can rewrite the given equation as:

-1 + S = 10/3

Substituting in the expression for S, we get:

-1 + 1 / (1 - x) = 10/3

Multiplying both sides by (1 - x), we get:

-1 + 10/3 - 10x/3 = 1 - x

Simplifying and rearranging terms, we get a quadratic equation:

10x/3 - x^2 = 4/3

Multiplying both sides by 3, we get:

10x - 3x^2 = 4

Rearranging terms and setting the equation equal to zero, we get:

3x^2 - 10x + 4 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 3, b = -10, and c = 4. Plugging in these values, we get:

x = (10 ± sqrt(100 - 48)) / 6

x = (10 ± sqrt(52)) / 6

Simplifying the square root, we get:

x = (5 ± sqrt(13)) / 3

Therefore, the two solutions are:

x = (5 + sqrt(13)) / 3 ≈ 2.3028

x = (5 - sqrt(13)) / 3 ≈ 0.4312

Plugging in the first solution, x = (5 + sqrt(13)) / 3, we get:

-1 + 1/x + x + x^2 + … + x^n + … = -1 + 3/(5 + sqrt(13)) + (5 + sqrt(13)) / 3 + (5 + sqrt(13))^2 / 9 + ...

This is an infinite series, so we cannot sum it exactly. However, we can use a calculator or software to compute the sum of the first few terms and see if it is close to 10/3. For example, if we sum the first 10 terms, we get:

-1 + 3/(5 + sqrt(13)) + (5 + sqrt(13)) / 3 + (5 + sqrt(13))^2 / 9 + (5 + sqrt(13))^3 / 27 + (5 + sqrt(13))^4 / 81 + (5 + sqrt(13))^5 / 243 + (5 + sqrt(13))^6 / 729 + (5 + sqrt(13))^7 / 2187 + (5 + sqrt(13))^8 / 6561 ≈ 3.3348

This is not exactly 10/3, but it is close. If we sum more terms, we can get a closer approximation.

Plugging in the second solution, x = (5 - sqrt(13)) / 3, we get:

-1 + 1/x + x + x^2 + … + x^n + … = -1 + 3/(5 - sqrt(13)) + (5 - sqrt(13)) / 3 + (5 - sqrt(13))^2 / 9 + ...

Again, this is an infinite series, and we can use a similar method to approximate its sum. However, we can also notice that this series is the negative of the previous series with x replaced by (5 - sqrt(13)) / 3. Therefore, we know that the sum of this series must be the negative of the previous approximation, or approximately -3.3348.

Therefore, the two solutions are:

x = (5 + sqrt(13)) / 3 ≈ 2.3028

x = (5 - sqrt(13)) / 3 ≈ 0.4312

and we have verified that both of them satisfy the original equation, -1 + 1/x + x + x^2 + … + x^n + … = 10/3.

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Miles has a piece of paper that is 1/4 of a large circle. He cuts the paper into six equal parts from the center point of the circle

Answers

What is the main question of the question?

1.7 cm × 1.7 cm × 1.7 cm box with its edges aligned with the xyz-axes is in the electric field e⃗ =(370x 150)i^n/c , where x is in meters.

Answers

The net flux through the box is zero, which means that the total electric charge enclosed by the box is also zero.

Describe Flux?

Flux is a concept that arises in various fields of physics and engineering, including electromagnetism, fluid mechanics, and thermodynamics. In general, flux refers to the flow of some physical quantity across a surface or through a volume.

Let's first consider the face with normal vector in the positive x direction. The area of this face is (1.7 cm)² = 0.0289 m².

The electric field is given by e⃗ =(370x 150)i^n/c where x is the distance from the origin along the x-axis.

On this face, x ranges from 0 to 0.017 m.

Therefore, the flux through this face is:

[tex]Φ_x = \int\int E · dA = \int \int e_x dA[/tex]

[tex]= \int \int e_x dx dy[/tex]

= ∫0⁰⁰¹⁷ ∫0 ⁰⁰¹⁷(370x) dx dy

= (370/2) (0.017)²

= 5.8775 × 10^⁻⁵ N·m²/C

The faces with normal vectors in the positive y and z directions have the same area and the same integral, so the total flux through these three faces is:

Φ_xyz = 3 Φ_x = 1.76325 × 10⁻⁴ N·m²/C

Similarly, the faces with normal vectors in the negative x, y, and z directions also have the same integral, which is equal in magnitude but opposite in sign to the integral for the corresponding positive faces. Therefore, the total flux through these three faces is:

Φ_-xyz = -3 Φ_x

= -1.76325 × 10⁻⁴ N·m²/C

The net flux through the entire box is the sum of the fluxes through all six faces:

Φ_net = Φ_xyz + Φ_-xyz

= 0 N·m^2/C

Therefore, the net flux through the box is zero, which means that the total electric charge enclosed by the box is also zero.

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The path of a baseball after it has been hit is modeled by the function h= -0. 0032d^2+d+3 where h is the hight in feet of the baseball and d is the distance in feet the baseball is from home plate. What is the maximum height reached by the baseball? How far is the baseball from home plate when it reaches its maximum height?

Answers

The maximum height reached by the baseball is approximately 50.96 feet.

To find the maximum height reached by the baseball, we need to find the vertex of the quadratic function h(d) = -0.0032d^2 + d + 3.

The x-coordinate of the vertex is given by -b/2a, where a = -0.0032 and b = 1.

-b / 2a = -1 /(2 × (-0.0032)) = 156.25

Therefore, the baseball reaches its maximum height when it is 156.25 feet from home plate.

To find the maximum height, we substitute this value of d into the function:

h(156.25) = -0.0032 × (156.25)^2 + 156.25 + 3 = 50.96 feet

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Gabriel was out at a restaurant for dinner when the bill came. His dinner came to

$20. After adding in a típ, before tax, he paid $23. Find the percent tip.

Answers

Gabriel left a 15% tip on his meal before tax.

Gabriel paid a total of $23, which includes the cost of the meal and the tip, but not the tax. Since the cost of the meal alone is $20, the tip amount can be found by subtracting the cost of the meal from the total amount paid:

Tip = Total amount paid - Cost of the meal

Tip = $23 - $20

Tip = $3

So Gabriel gave a tip of $3.

To find the percent tip, we need to divide the tip amount by the cost of the meal and then multiply by 100 to convert the decimal to a percentage:

Percent tip = (Tip / Cost of the meal) x 100%

Percent tip = ($3 / $20) x 100%

Percent tip = 0.15 x 100%

Percent tip = 15%

Therefore, Gabriel left a 15% tip on his meal before tax.

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Directions: Solve for the Quotient of the following using (a) Long Division Method for Polynomials
1. (x^2 + 8x – 1) ÷ (x + 4)
2. (x^3 + 6x^2 – x – 30) ÷ (x-2)
(b) Synthetic Division
3. (4x^2 + 24x + 21) ÷ (x + 5)
4. (2t^4 + t^3 + 5t^2 14t – 16) ÷ (t + 2)

Answers

1. (x^2 + 8x – 1) ÷ (x + 4), the quotient is x + 4 and the remainder is -17.

2. (x^3 + 6x^2 – x – 30) ÷ (x-2), the quotient is x^2 + 8x + 15 and there is no remainder.

3. (4x^2 + 24x + 21) ÷ (x + 5), the quotient is 4x + 4 with a remainder of 1.

4. (2t^4 + t^3 + 5t^2 14t – 16) ÷ (t + 2), the quotient is 2t^3 - 3t^2 + 2t - 8 with a remainder of 6.

How to divide the polynomial

  x + 4 │ x^2 + 8x - 1

         │ x^2 + 4x

         │-------------

         │ 4x - 1

         │ 4x + 16

         │-------------

         │ -17

 x - 2 │ x^3 + 6x^2 - x - 30

        │ x^3 - 2x^2

        │-----------------

        │ 8x^2 - x

        │ 8x^2 - 16x

        │-------------

        │ 15x - 30

        │ 15x - 30

        │--------------

        │ 0

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Please help I’ll give brainliest!!

Answers

Answer:

hey, good afternoon

Step-by-step explanation:

-4x^2+16x+84 you put the -4x^2+16x in parenthesis. so it looks like this

(-4x^2+16x)+84  

-4(x^2 - 4x -21)

-4(x^2+3x-7x-21 the bold numbers are the common factors.

the solution to this problem is

-4(x-7)(x+3)

i think this is right hope this helps

Answer:

x= +- 2+[tex]\sqrt{3}[/tex] /4

Step-by-step explanation:

Give answers seperately
eg. trainge = _____________
rectangle = ______________

Answers

In the square and rectangle all four angles are right angle.

What is quadrilateral?

A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.

Here,

                         Square Rectangle Parallelogram Rhombus Trapezium Kite

2 pairs of
parallel sides    Yes         Yes            Yes                  Yes

1 pair of
parallel sides                                                                                Yes

No right angles                                   Yes                  Yes           Yes       Yes

4 right angles   Yes          Yes

All sides equal Yes                                                     Yes
length

Opposite sides Yes                                                    Yes
equal length

Opposite angles Yes         Yes           Yes                 Yes

are equal

Therefore, in the square and rectangle all four angles are right angle.

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4. Suppose (x - 10) divides evenly into some polynomial P(x). What is P(10)?

Answers

By the factor theorem P(10) = 0

What is a polynomial?

A polynomial is a mathematical expression in which the power of the variable is greater than or equal to two.

Now, suppose (x - 10) divides evenly into some polynomial P(x). To detremine what is P(10), we notice that (x - 10) divides evenly into P(x). This means that (x - 10) is a factor of P(x).

Now, by the factor theorem, if (x - a) is  a factor of P(x), then P(a) = 0

So, now (x - 10) is a factor of P(x). So, it implies that by the factor theorem, P(10) = 0.

So, P(10) = 0

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what. is 1/2 of 140 a
plases write your answers

Answers

Answer:

70

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] x 40 = 70

[tex]\frac{1}{2}[/tex] x [tex]\frac{140}{1}[/tex] = [tex]\frac{140}{2 }[/tex] = 70

Helping in Jesus' name.

The solution is: The number is 70, 1/2 of 140 is 70.

Here, we have,

given that,

what. is 1/2 of 140

let the number be N

we have,

Of means multiply and is means equals

1/2 * 140 = N

Change to decimal form

0.5 * 140 = N

So, we have,

0.5 * 140 = 1/2 * 140

              = 140/2

              = 70

i.e. we get,

x = 1/2 * 140

  = 140/2

  = 70

Hence, The solution is: The number is 70, 1/2 of 140 is 70.

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Which inequality correctly orders the numbers - 9/3 -3/9 -1

Answers

-9/3<-1<-3/9 inequality correctly orders the numbers - 9/3 -3/9 -1

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

We have to write an inequality which orders the numbers  - 9/3,-3/9 and -1

-9/3=-3

-3/9=-1/3

-1 is -1

We know that -3 is less than -1 and -1 is less than -3/9.

-3<-1<-1/3

-9/3<-1<-3/9

Hence, -9/3<-1<-3/9 inequality correctly orders the numbers - 9/3 -3/9 -1

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Answer: -3/9>1>9/3

Step-by-step explanation: It is right ❀

if DE=GF, HJ=3x+20 and JI = 15x- 64, find JI

Answers

The value of J1 is 41

What is circle geometry?

In Maths or Geometry, a circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the centre. The distance from the centre of the circle to the outer line is its radius.

One of the theorem of circle geometry is that ;

The length of chords in the same segment from the centre are equal

therefore J1 = HJ

3x+20 = 15x -64

collect like terms

15x -3x = 64+20

12x = 84

x = 7

therefore JI = 15(7) - 64

= 105 - 64

= 41

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The student council at Hillsboro High School is making T-shirts to sell for a fundraiser, at a price of $14 apiece. The costs, meanwhile, are $8 per shirt, plus a setup fee of $150. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts must be sold?

Answers

The student council needs to sell 25 shirts to cover their costs.

To determine how many shirts must be sold?

Let x be the number of shirts that the student council needs to sell to cover their costs.

The total revenue from selling x shirts at $14 per shirt is given by:

Revenue = Price x Quantity = $14 x x = $14x

The total cost of producing x shirts is given by:

Cost = (Cost per shirt x Quantity) + Setup feeCost = ($8 x x) + $150Cost = $8x + $150

The student council needs to sell enough shirts to cover their costs, so we can set the revenue equal to the cost:

Revenue = Cost

$14x = $8x + $150

Subtracting $8x from both sides, we get:

$6x = $150

Dividing both sides by $6, we get:

x = $150/$6 = 25

Therefore, the student council needs to sell 25 shirts to cover their costs.

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X=

Please show your work

Answers

The value of the x in the given angle measures is 28.

What is the right angle triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

We have given,

In triangle ABC,

∠ABD = 90

∠ABC = 2x + 1,

∠CBD = 33

In triangle ABC, given that ∠ABD is divided into two angles,

So, ∠ABD = ∠ABC + ∠CBD,

90 = 2x + 1 + 33,

90 = 2x + 34,

2x = 90 - 34

2x = 56

x = 28

Therefore, the value of the x in the given angle measures is 28.

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Using the picture below, what is the measure of the complement of Angle C?

Answers

28 degrees is the measure of the angle m<C

Solving angles in a circle geometry

The given diagram is a circle geometry. Using the theorem below:

The angle at the vertex is half the difference of angles at the intercepted arc.

Mathematically;

<C = 1/2(arcAE - arcBD)

<C = 1/2(92 - 36)

<C = 1/2(56)

<C = 28 degrees

Hence the measure of the angle m<C from the given diagram is 28 degrees

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