Examine the steps used to solve the equation.

Negative 3 y + two-thirds = 2 y minus 4. 1. Two-thirds = 5 y minus 4. 2. StartFraction 14 Over 3 EndFraction = 5 y. 3. (one-fifth) StartFraction 14 Over 3 EndFraction = (one-fifth) 5 y.

Evaluate the steps used to solve the equation, and then describe each step.

Step 1:
Step 2:

Step 3:
What is the solution to the equation?

y =

Answer:

52

Step-by-step explanation:

3x + 4y

3(12) + 4(4)

36 + 16

52

Answer:

The answer is 58 right? NO

The right answer is:

52

Step-by-step explanation:

3x + 4y = z

if:

x = 12

y = 4

then:

3*12 + 4*4 = z

36 + 16 = z

z = 52

The surface area of a cylinder is 284m² and it's volume is 366.9m³

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

From the given question, the data are;

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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The angle C is 55 ,The angle E is 75, The angle D is 50.The angle BCE is 55

What are parallel lines ?

Parallel lines are two or more straight lines in a plane that never intersect, no matter how far they are extended. Parallel lines are always equidistant from each other, meaning that the distance between them remains the same at any point along the lines.

When two parallel lines are intersected by a transversal line (a line that crosses both parallel lines), corresponding angles are formed. Corresponding angles are pairs of angles that are in matching positions at each intersection, located on the same side of the transversal line, and on opposite sides of the parallel lines.

It can be proven that corresponding angles are equal in measure (i.e., they have the same degree measurement). This means that if you measure the angles formed by the intersection of two parallel lines and a transversal line, the corresponding angles will be equal to each other. This is a fundamental property of parallel lines and helps us to solve many geometry problems involving angles and lines.

The angle A will be 50 degree.

180-130=50

angle A+angle B+angle C =180

Angle C = 180-130-75

Angle c=55

Angle GEF = 180-45-60

Angle GEF=75

Angle DCE =55

Angle DCE=75

ANGLE CDE =180-55-75

ANGLE CDE =50

hence we can conclude that The angle C is 55 ,The angle E is 75, The angle D is 50.The angle BCE is 55

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Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

Answer:

point R

Step-by-step explanation:

7²=49

8²=64

57 is nearly in the middle of 49 and 64

so it is R

The standard form of "18 hundreds 11 tens" is 1910.

To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.

We know that 1 hundred is equal to 100, and 1 ten is equal to 10.

So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.

18 hundreds = 18 x 100 = 1800

11 tens = 11 x 10 = 110

To find the standard form, we add the two values:

1800 + 110 = 1910

Therefore, "18 hundreds 11 tens" in standard form is 1910.

In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.

The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.

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The minimum value οf f(x, y) subject tο the cοnstraint x + 2y - 20 = 0 is: f(4, 8) = 4² + 8²= 80

The number knοwn as the lagrangian functiοn, οr simply lagrangian, describes the state οf a physical system.

Tο use Lagrange multipliers, we first define the Lagrangian functiοn L:

L(x, y, λ) = f(x, y) - λg(x, y)

where g(x, y) represents the cοnstraint equatiοn, and λ is the Lagrange multiplier.

In this case, we have:

f(x, y) = x² + y²

g(x, y) = x + 2y - 20

Sο οur Lagrangian functiοn is:

L(x, y, λ) = x² + y² - λ(x + 2y - 20)

∂L/∂x = 2x - λ = 0

∂L/∂y = 2y - 2λ = 0

∂L/∂λ = x + 2y - 20 = 0

Sοlving the first twο equatiοns fοr x and y in terms οf λ, we get:

x = λ/2

y = λ

Substituting these intο the third equatiοn, we get:

λ/2 + 2λ - 20 = 0

Sοlving fοr λ, we get:

λ = 8

Substituting this back intο οur expressiοns fοr x and y, we get:

x = 4

y = 8

Sο the critical pοint is (4, 8).

∂²L/∂x² = 2

∂²L/∂y² = 2

Both of these are positive, so the critical point (4, 8) is a minimum.

Therefore, the minimum value of f(x, y) subject to the constraint x + 2y - 20 = 0 is: f(4, 8) = 4² + 8²= 80

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Answer:

  b.  $154,810

Step-by-step explanation:

You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.

The given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.

  p = (P/1000)×m

The table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...

  1000p/m = P

  1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810

You qualify for a loan of $154,810.

__

Additional comment

The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).

By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.

To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.

According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.

Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:

Mortgage amount = monthly payment / mortgage payment per $1000

$879.32 mortgage amount / $5.68 per $1000

Loan amount = $154,810

As a result, the purchasing price of a house is $154,810.

As a result, the answer is (b) $154,810.

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y+12=16.6 y is the examiner

Step-by-step explanation:

plzz mark as brainliest

Answer:

Im pretty sure its 12 im sorry if im wrong.

Step-by-step explanation:

Anwser :

Y is 72

X is 108

Z is 18

Steps :

Y is the same angle as 72

180 - 72 = 108

90 - 72 = 18

Answer:

+20

Step-by-step explanation:

you need to first do the -2 + 7 then do -5 x -4=+ 20

62 square yards is the area of the figure.

Area is the measure of a region's size on a surface and the area of a plane region or plane area refers to the area of a shape

In the given figure there are three rectangle in that two are smaller rectangles squares.

The rectangle has length of 10 yd and width of 5 yd.

Area of rectangle (Large)=10×5

=50 square yds

The side length of smaller rectangle is 3 yards and width is 2 yd

Area of rectangle (small)=3×2

6 square yds.

As there are two smaller rectangles, then area will be 2(6)=12 yards.

Now total area = 50+12

=62 square yards.

Hence, the area of the figure is 62 square yards.

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2x+9+3x+x=6x+9

⇒ INFINITE SOLUTUIONS

The expression that has a value of 26 when a=4 and b=5 is option B: a \((√16+ b) - 10.\)

Let's substitute a=4 and b=5 in each expression and see which one has a value of 26:

An expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. Expressions can also include exponents, roots, and other mathematical symbols. The value of an expression can vary depending on the specific values of the variables used in the expression.

A) \(a√16+b-10 = 4√16 + 5 - 10 = 4x4 + 5 - 10 = 9\)(not equal to 26)

B)\(a (√16+ b) - 10 = 4(√16 + 5) - 10 = 4(4 + 5) - 10 = 26\) (equal to 26)

C) \(a√16+ (b-10) = 4√16 + (5-10) = 4x4 - 5 = 11\) (not equal to 26)

D)\((a√16) + b-10 = (4√16) + 5 - 10 = 4x4 + 5 - 10 = 9\)(not equal to 26)

Therefore, the expression that has a value of 26 when a=4 and b=5 is option B: \(a (√16+ b) - 10.\)

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Answer:

C

Step-by-step explanation:

so the first one ends at 4.7107

the second- 3.3568

the third- 5.1401

and multiplying the first by 5000 we get- 23,553.5

for the second we get -6,713.6

for the third we get 41,120

adding them all together we get 71,387.1

and so C is the closest

The  value of the index at the end of the day should be considered as the $70,400.

Since

Stock X opens the day with 5000 shares at $4.30 per share.

Stock Y opens the day with 2000 shares at $3.20 per share.

Stock Z opens the day with 8000 shares at $4.90 per share.

This simple index rises 4.9% over the course of the day.  

So ,

\(= (5,000 \times \$3.4) + (2,000 \times \$3.20) + (8,000 \times $4.90) * 1.0.49\)

= $70,400

hence, The  value of the index at the end of the day should be considered as the $70,400.

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The 90% confidence interval is [64.21, 73.79].

To find the margin of error and confidence interval,

we can use the following formula:

Margin of error \(= z* (sigma / \sqrt{(n))\)

where z* is the z-score corresponding to the desired confidence level, sigma is the population standard deviation, n is the sample size, and sqrt represents the square root.

Since we want a 90% confidence interval, the corresponding z-score can be found using a standard normal distribution table or calculator.

The z-score for a 90% confidence level is 1.645.

Plugging in the values we have:

Margin of error = 1.645 * (5 / sqrt(7))

≈ 4.05

So the margin of error is approximately 4.05 inches.

To find the confidence interval, we need to add and subtract the margin of error from the sample mean:

Lower bound = x¯ - margin of error

= (68+63+70+69+75+63+72) / 7 - 4.05

≈ 64.21

Upper bound = x¯ + margin of error

= (68+63+70+69+75+63+72) / 7 + 4.05

≈ 73.79

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The values of the trigonometric ratios for the given triangle are sinθ = 8/17, cosθ = 15/17 and tanθ = 8/15.

From the given right triangle hypotenuse= 17 units and legs of triangle are 15 units and 8 units.

We know that, sinθ = Opposite/Hypotenuse

sinθ = 8/17

We know that, cosθ = Adjacent/Hypotenuse

cosθ = 15/17

We know that, tanθ = Opposite/Adjacent

tanθ = 8/15

Therefore, the values of the trigonometric ratios for the given triangle are sinθ = 8/17, cosθ = 15/17 and tanθ = 8/15.

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Given

To find

We know that,

Let the third angle be ,'x'

then,

Hence,the third angle would measure 30°

The required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The complex number is given in the question following as

3i

We have to determine the fifth roots of the given complex

As per the given question, we have

⇒ ⁵√3i

Apply the radical rule ⁿ√ab = ⁿ√aⁿ·√b,  (Assuming a ≥ 0, b ≥ 0)

⇒ ⁵√3·⁵√i

Thus, the required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

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The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

(-8,5) (-12,-11)  (1-1) (-2,-4)

The domian is the set of the input values

Using the ordered pairs as a guide, we have

Domain = {-8, -12, 1, -2}

For the range, we have

The range is the set of the output values

So, we have

Range = {5, -11, -1, -4}

Hence, the range is  {5, -11, -1, -4}

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Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x + 10 = 43

-3x = 33

x = -11

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Answer:

Angle Z is 33.

Step-by-step explanation:

Angle Z is also 33. X and Z are equivalent angle therefore it has to be 33 as well.

Answer:

I believe it is the "square root" sign

Answer:

distributive

Step-by-step explanation:

Resolvamos esta ecuación para la variable "e":

Entonces, el valor de "e" es 16.

Answer: 36˚

Step-by-step explanation:

180 - 3x = 2x

180 = 5x

.: x = 36˚

Answer:

(1/4)³

Step-by-step explanation:

Hope it helps you

Answer:

\(\frac{1}{64}\)

Step-by-step explanation:

Negative exponents means you bring the base to the denominator, which becomes a fraction.

\(4^{-3} \\=\frac{1}{4^{3}}\)

The question wants us to write without an exponent.

The \(4^{3} = 4 * 4* 4=64\)

So, it becomes:

\(\frac{1}{64}\)

Answer:

79 ft

Step-by-step explanation:

Golden rectangle side ratios   1 : (1+sqrt5 )/2

      (approx  1: 1.618)

15 + 15   +  2*15*1.618 = ~79 ft

BUT perhaps the 15 is the 1.618 side

15/1.618 + 15/1.618   + 15 + 15   ~ 49 feet