PLEASE HELP ME 15 point
Simplify 6/7c − 5/9d − 1/2 c + 1/3d

A: 514c − 29d


B: 59c + 412d = 59c +13d


C: 59c − 412d = 59c −13d


D: 514c + 29d

Answer:

Step-by-step explanation:

y=-x-7........(1)

5y+3x=-13..........(2)

(2) - 3x(1)=>

5y+3x= -13

3y + 3x = - 21

(-)    (-)      (+)

-----------------------

2y+0=8

=>y=4

  (1)=>

  y= -x-7

=>x= -y-7

=>x= -4-7

=>x= -11 .

Answer:

x=-11 & y= 4

Step-by-step explanation:

y=-x-7

5y+3x=-13

y+x=-7—eqn i

5y+3x=-13—eqn ii

multiply eqn i by 5

5y+5x=-35

multiply eqn Ii by 1

5y+3x=-13

put eqn I and Ii together

5y+5x=-35

5y+3x=-13

subtract

2x=-35--13

2x=-35+13

2x=-22

divide both sides by 2

2x/2 = -22/2

x=-11

put x=-11 into eqn i

y+x=-7

y-11=-7

y=-7+11

y=4

The distance in kilometers from Sanjay's house to Carl's house is 4.55 kilometers.

According to the question,

We have the following information:

Dyna's house is 6.85 kilometers from Carl's house. Sanjay's house is 2 3/10 kilometers closer to Carl's house than Dyna's house is.

(Closer means that the distance will be [tex]2\frac{3}{10}[/tex] kilometers less than 6.85 kilometers.)

Now, converting the mixed fraction into decimal point:

23/10 = 2.3 kilometers

Now, let's take the distance from Sanjay's house to Carl's house to be x kilometers.

x = 6.85 - 2.3

x = 4.55 kilometers

Hence, the distance in kilometers from Sanjay's house to Carl's house is 4.55 kilometers.

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The constant percent rate of change of the function is option (d) 55% decay

The equation of the function is given as

f(x) = 32(0.45)^x

The above function is an exponential function

An exponential function is represented as

y = ab^x

Where b represents the growth or decay factor

So, we have

b = 0.45

We can see that the value of b is less than 1

This means that the graph would represent a decay

The percent rate of change is then calculated as

Rate = 1 - b

This gives

Rate = 1 - 0.45

Evaluate

Rate = 0.55

Rewrite as

Rate = 55%

Hence, the rate of change is 55% decay

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Answer:

10%

Step-by-step explanation:

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{9^2-(3\sqrt{5})^2}=a\implies \sqrt{81-3^2(5)}=a \\\\\\ \sqrt{81-9(5)}=a\implies \sqrt{81-45}=a\implies \sqrt{36}=a\implies \boxed{6=a}[/tex]

The expression which represents the area of the triangle : [tex]2x^{2}-16x+24[/tex].

Length of base = B = 2x - 12

Height = H = Length of base + 8

                  = 2x - 12 + 8

                  = 2x - 4

Area = [tex]\frac{1}{2}(B)(H)[/tex]

        = [tex]\frac{1}{2}(2x-12)(2x-4)[/tex]

        = [tex]\frac{4}{2}(x-6)(x-2)[/tex]

        = [tex]2(x^{2} -8x+12)[/tex]

       = [tex]2x^{2}-16x+24[/tex]

Hence, the expression is [tex]2x^{2}-16x+24[/tex].

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Answer:

$418.00

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

we know these 2 angles added together is equal to 180 so we can make these 2 equations equal to 180

(6x+12)+(10x-8)=180

16x+4=180

16x=176

x=11

Hopes this helps please mark brainliest

The system of equation to represent Zendaya blueberries and grapes sells is as follow:

x + y = 33

2.50x + 1.25y = 55

Zendaya runs a farm stand that sells blueberries and grapes.  Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25. Zendaya made $55 from selling a total of 33 pounds of blueberries and grapes.

The system of equation that can be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold can be represented as follows:

Therefore,

let

x = number of pounds of blueberries

y = number of pounds of grapes

Hence,

x + y = 33

2.50x + 1.25y = 55

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Reflection is along line x = 1, using plotting of points.

What do you mean by reflection , rotation and translation?

An object can be reversed across a line through reflection without changing its size or shape.

Rotation is the movement of an item around a fixed point while maintaining its original size and shape.

A figure can be translated if it is moved in any direction without altering its size, form, or orientation.

An object is always translated, but it is never turned, flipped, or shrunk.

It is given that Jayden is drawing the top view of a square sandbox on a coordinate plane with vertices at D(1, 1), E(1, 6), F(6, 6) , and G(6, 1) .

On plotting these points on graph paper we get below graph, (1)

Now , to move the sandbox so that it is in the shade, he reflects it and the new  vertices of the image are at D′(1, 1), E′(1, 6), F′(−4, 6) , and G′(−4, 1)

On plotting these new coordinates we get below graph (2)  

Square box in the second graph shifted to left side of x = 1.

Therefore, reflection is along line x = 1.

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Mrs. Hoeting have approximately 4 times of serving.

Given,

The quantity of snozzberry Mrs. Hoeting purchased = 1 7/8 cups = 15/8 cups

The quantity of snozzberry she eats per serving = 1/2 cups

We have to find the number of servings does Mrs. Hoeting have;

Number of servings = Quantity of snozzberry purchased / Quantity of snozzberry eats per serving

Number of servings  = 15/8 ÷ 1/2

Number of servings = 15/8 × 2

Number of servings = 15/4

Number of servings = 3.75 ≈ 4

That is,

Mrs. Hoeting have approximately 4 times of serving.

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A score that is 1.5 points above the mean is 1, A score that is 1.5 points below the mean is -1, A score that is 1.36 points above the mean is 0.90 and  A score that is the same as the mean is 0.

A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.

Given that, a normal distribution of BMCC MAT51 scores has a standard deviation of 1.5.

At above 1.5

Z = (μ + 1.5 - μ)/2 = 1

At below 1.5

Z = (μ -1.5 - μ)/2 =-1

At above 1.36

Z = (μ + 1.36 - μ)/2 = 0.90

At same as the mean

Z = (μ - μ)/2 = 0

Hence, A score that is 1.5 points above the mean is 1, A score that is 1.5 points below the mean is -1, A score that is 1.36 points above the mean is 0.90 and  A score that is the same as the mean is 0.

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Using the double-declining-balance method of depreciation, the completion of the table as shown is as follows:

Year Cost   Accumulated   Book Value  Depreciation Accumulated  Book

                   Depreciation        B.O.Y         Expense      Depreciation   Value

                        B.O.Y                                                               E.O.Y       E.O.Y

1    $26,000          $0           $26,000         $5,200            $5,200  $20,800

2   $26,000    $5,200          $20,800          $4,160           $9,360  $16,640

3   $26,000   $9,360          $16,640           $3,328           $12,688   $13,312

What is the double-declining-balance method?

One of the depreciation methods in use is the double-declining-balance method, however it places more expense in the initial years of an asset's life.

The straight-line rate, which is calculated as the product of 100/estimated useful life multiplied by 2, is doubled in this depreciation technique.

The double rate is applied to the remaining balance at the end of each year for the depreciation expense.

The depreciation expense for the most recent year is calculated as the difference between the ending balance from the prior year and the residual value.

Auto  = $26,000

Estimated useful life = 10 years

Residual = $600

Depreciable amount = $26,000 - $600 = 25,400

Straight-line depreciation rate = 100/10 = 10%

Double-declining depreciation rate =10% x 2 = 20%

Depreciation Expense:

1st year = 26000 x 20/100 = 5200

2nd year = 20800 x 20/100 = 4160

3rd year = 16640 x 20/100 = 3328

4th year = 13312 x 20/100 = 2662.40 = 2662

5th year = 10650 x 20/100 = 2130

6th year = 8520 x 20/100 = 1704

7th year = 6808 x 20/100 = 1361.6 = 1361

8th year = 5446 x 20/100 = 1089.2 = 1089

9th year = 4357 x 20/100 = 871.4 = 871

10th year = 3486 x 20/100 = 697.2 = 697

Year Cost   Accumulated  Book Value  Depreciation Accumulated  Book

                  Depreciation        B.O.Y         Expense      Depreciation   Value

                       B.O.Y                                                               E.O.Y       E.O.Y

1    $26,000          $0           $26,000         $5,200            $5,200  $20,800

2   $26,000    $5,200          $20,800         $4,160           $9,360  $16,640

3   $26,000   $9,360          $16,640           $3,328           $12,688   $13,312

4   $26,000  $12,688           $13,312           $2,662           $15,350   $10,650

5  $26,000  $15,350            $10,650          $2,130           $17,488     $8,520

6   $26,000   $17,488           $8,520           $1,704           $19,192    $6,808

7   $26,000    $19,192          $6,808            $1,362           $20,554  $5,446

8   $26,000   $20,554          $5,446           $1089           $21,643   $4,357

9   $26,000  $21,643           $4,357           $871              $22,514   $3,486

10  $26,000  $22,514           $3,486         $697          $23,211     $2,789

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A company's profit is determined by its revenue less its cost of operations.Subtract costs from revenue to get the profit function.

Let P(x) stand for the profit, R(x) for the revenue, and C(x) for the expense.Profit thus equals P(x) = R(x) -C. (x).The revenue and expense can be modeled as fixed values or as functions,

Profit = Revenue - Cost

We need to find an equation for the revenue R(x).

R(x) = number of units * unit price = x * p(x) = x(72-x) = 72x - x2

Therefore: Profit P(x) = 72x - x2 - (20 + 52x) =  - x2 + 20x -20

To find max profit, run the 1st derivative test, so set P'(x) = 0 and solve for x:

P'(x) = -2x + 20

set P'(x) = 0 ----> -2x+20 = 0 ----> -2x = -20 -----> x = 10

The number of units, x, that produces the maximum profit is 10.

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The value of C be sinC = - 371.932.

Given, the side of the triangle be c = 300

and the angles of the triangle be A = 1200 and B = 1350

Now, using the law of sines, we get

a/sinA = b/sinB = c/sinC = k

sinA/sinB = c/sinC

sin(1200)/sin(1350) = 300/sinC

0.8066/-1 = 300/sinC

sinC = - 371.932

Hence, the value of C be sinC = - 371.932.

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Answer:

- 371.932.

Step-by-step explanation:

Answer:

41-29=12
756+223=979
821-690=131
eleventh, fifteenth, nineteenth

4
2

Answer:

x= +/- 9

Step-by-step explanation:

absolute value is the number's positive value. x could be negative or positive, but its absolute value is positive. absolute value is how far away the number is from 0. if the assignment is on paper, write + above -.

1)

angle 1 is 41

angle 2 is also 41

2)

angle 1 is 124

angle 2 is also 124

Answer:

3/2

Step-by-step explanation:

1/2 ÷2/3

1/2x3/2

1x3=3

1x2=2

=3/2

The expression using distributive property becomes 7n - 35

The distributive property is also known as the distributive law of multiplication over addition and subtraction.

The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC. This distributive law is also applicable to subtraction and is expressed as, A (B - C) = AB - AC. This means operand A is distributed between the other two operands.

Using this distributive law, A × (B + C) = AB + AC. to re-write the expression -7(5 - n), A = -7, B = 5 and C = -n

we have -7(5 - n) = (-7 x 5) + (-7 x -n)

which is further simplified as (-35) + (7n) = 7n - 35

In conclusion, the re-written form of -7(5 - n) in distributive form is 7n - 35

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Answer:

180 / (13 + 2) =12 bands of 15 students each.

Since 2 from each band are sidelined, then:

12 x 2 = 24 - number of students on the sidelines, so that:

13 x 12 + 24 =180 - total number of students.

The amount of water left in the tub after 5 minutes is; 24 gallons

The given recursive formula is expressed as;

aₙ = aₙ ₋ ₁ - 12

We are told that a₀ represents the amount of water left, in gallons, in a bathtub n after the drain stopper was pulled.

Thus, when n = 1, we have;

a₁ = a₁ ₋ ₁ - 12

a₁ = a₀ - 12

a₁ = 84 - 12

a₁ = 72

Then;

a₂ = a₁ - 12

a₂ = 72 - 12

a₂ = 60

It will seem that it follows a sequence pattern of;

aₙ = 84 - 12n

Thus;

a₅ = 84 - 12(5)

a₅ = 24 gallons

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Answer:

15 is the answer

The 5-number summary of the given data is as follows:

So, the data set is:

Then, the 5-number summary will be:

Therefore, the 5-number summary of the given data is as follows:

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Answer:

A = {1,2,3,4,5}

B = {5,6,7,8,9}

========================================================

Explanation:

Consider the set

A = {1,2,3,4,5}

The mean is found by adding up all the values to get 15, then divide by the number of values (5) to get 15/5 = 3

The standard deviation is a bit more complicated, and it depends which version you select (sample vs population). Let's say we go for the population standard deviation. Using a calculator gets us a population standard deviation of roughly 1.414; this value tells us how spread out the data set is. The higher the value, the more spread out the data set will be.

Now consider adding some fixed value to each item in set A. Let's add 4 to each value

We go from A = {1,2,3,4,5} to B = {5,6,7,8,9}

If you were to use a calculator, then the population standard deviation is still roughly 1.414 but the mean is now 7. The standard deviation hasn't changed because the values are still spread out the same way.

Note: infinitely many answers are possible for sets A and B.

The expression 7⁻⁴/(7⁻⁴)⁶ in simplified form using positive exponents is (7)²⁰  .

In the question ,

it is given that ,

the expression is 7⁻⁴/(7⁻⁴)⁶ .

we need to find the simplified value of the expression .

So ,

= 7⁻⁴/(7⁻⁴)⁶

we know that (xᵃ)ᵇ = (x)ᵃˣᵇ

By using the above property , we get

= 7⁻⁴/(7)⁻⁴ˣ⁶

= 7⁻⁴/(7)⁻²⁴

we know that xᵃ/xᵇ = xᵃ⁻ᵇ

By using the above property , we get

= (7)⁻⁴×(7)²⁴

= (7)²⁴⁻⁴    ... by using the property xᵃ.xᵇ = xᵃ⁺ᵇ

= (7)²⁰

Therefore , The expression 7⁻⁴/(7⁻⁴)⁶ in simplified form using positive

exponents is (7)²⁰  .

The given question is incomplete , the complete question is

Simplify the following expression. Write your answer using positive exponents.

7⁻⁴/(7⁻⁴)⁶

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The rate of change at which the value of the auto is -950/year.

What is the Rate of Change?

It is said that the rate at which one quantity changes in relation to another is known as the rate of change function.

In simple terms, when calculating the rate of change in one item, the amount of change in another is divided by the comparable amount of change in another.

From the given data of question,

[tex]V(t) = 24000*0.95^{t}[/tex]

Then, by definition, the rate of change =[tex]\frac{d(v(t))}{dt} = \frac{d(24000*0.95^{t} )}{dt}[/tex]

                                                                 =  [tex]24000*0.95^{t}*ln(0.95)[/tex]

For time (t) = 5 years

[tex]\frac{d(v(t))}{dt} = 24000*0.95^{5}*ln(0.95)[/tex]

         = 24000*0.7737*(-0.0512)

         = -950

Hence, the rate of change of the value of the auto is -950/year.

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