if RS equals 59 and ST equals 10x - 31 find x

Is valid proportion here

(10 + 5 )/ 18 = 10/d

then find d

d= 18• 10/ (10+5)

d= 180/15 =

d= 12

Then answer is

d = 12 mm

Given the figure of an object consists of a cylinder and a rectangular prism.

We will find the volume of the cylinder using the following formula:

As shown, the diameter of the base = d = 3 ft

So, the radius = r = d/2 = 3/2 = 1.5 ft

And the height = h = 4 ft

Use π = 3

so, the volume of the cylinder will be as follows:

Now, we will find the volume of the rectangular prism using the following formula:

As shown, the length = l = 7 ft

The width = w = 4 ft

The height = h = 4 ft

So, the volume of the rectangular prism will be as follows:

So, the total volume of the object will be =

So, the answer will be V = 139 ft³

Assest

Cash = 39000

Owned land = 460000

Savings land = 207000

Jewerly = 3000

Total assests = 39000+460000+207000+3000

Total assests = 709000

Liabilities

Bank loans = 350000

Student loan debt = 25000

Total liabilities = 350000+25000

Total = 375000

Net worth = Total assets - Liabilities

Net worth = 709000 - 375000

Net worth = $334,000

Answer:

D

Step-by-step explanation:

...................

The solutions to the quadratic equation x² + 10x - 13 = 17 are x = -5 + √55 and x = -5 - √55. The correct answer is option D.

The quadratic equation is given as:

x²+10x-13 =17

Move the constant term to the right side of the equation:

x² + 10x - 13 - 17 = 0

x² + 10x - 30 = 0

Take half of the coefficient of the x-term (10) and square it: (10/2)² = 25.

Add the squared value to both sides of the equation:

x² + 10x + 25 - 30 = 25

(x + 5)² - 30 = 25

Simplify the equation:

(x + 5)² = 25 + 30

(x + 5)² = 55

Take the square root of both sides of the equation:

√((x + 5)²) = ±√55

x + 5 = ±√55

Solve for x by subtracting 5 from both sides:

x = -5 ± √55

Therefore, the solutions to the equation x² + 10x - 13 = 17 are:

x = -5 + √55 and x = -5 - √55.

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Answer:

64

Step-by-step explanation:

If x² = 16, x is the square root of 16.

Therefore, x = 4

Now plug x in:

x³ = 4³ = 64

Kanesha is making scented candles to sell at the craft fair. She buys a 5-pound package of candle wax, a package of 12 small candle tins that each have a volume of 4 ounces and the package of 12 medium candle tins that each have a volume of 6 oz. Kanesha knows that 1 lb of candle wax will fill 20 oz in volume.

Assuming Kanesha sells all of the scented candles she makes how many candle tins of each size should she use in order to maximize the amount of money she will earn at the craft fair...



____ small 4 oz candles

____ medium 6 oz candles



what is the maximum amount of money she will earn in the craft fair?​

________________________________________

1 lb of candle wax will fill 20 oz

She buys a 5-pound package, therefore, she will fill 20*5= 100 oz

Tin size S small (4 oz ) and M medium (6 oz)

S*4 + M*6 = 100

S*7.5 + M*9 = amount of money

_____________________

S*4 + M*6 = 100

4 S = 100 - 6M

S= 100/4 -6/4M

S= 25 -3/2M

Replacing

(25 -3/2M )*7.5 + M*9 = amount of money

187.5 - 11.25M + 9M = amount of money

187.5 - 2.25M = amount of money

According to the expression, the fewer medians sell, the higher the income will be.

Reviewing the candle values by ounces used.

7.5/ 4 = 1.875 sale price / oz

9.0/6 = 1.5 sale price / oz

_____________________________

Therefore, in order to maximize the profit, it would be necessary to make as many small ones as possible, that is, 12.

12* 4 oz = 48

100- 48 = 52

what is left after using the 4 oz tins can be used in the medium candles

52/ 6 = 8

___________________________________

Answer

Assuming Kanesha sells all of the scented candles she makes how many candle tins of each size should she use in order to maximize the amount of money she will earn at the craft fair...



__12__ small 4 oz candles

___8_ medium 6 oz candles

Answer:

1. x = 18

2. x = 154

Step-by-step explanation:

 2          12

------- = -------

  3          x

 3 × 12 = 36

2 × x = 2x

36 = 2x

÷2    ÷2

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

x = 18

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

  6         84

------- = -------

  11           x

6 × x = 6x

84 × 11 = 924

6x = 924

÷6     ÷6

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

x = 154

I hope this helps!

Answer:

I believe it is -123

Step-by-step explanation:

you have to replace all the x's with -4 so you would do the equation -6(-4)^2+8(-4)+5

-6(-4)^2 is -96

-96+8(-4) is -128

-128+5 is -123

For Quadrilateral A B C D as shown the remaining angle measures if the figure is to be a parallelogram ∠B=∠D=101°  ∠C = 79

This is further explained below.

A parallelogram is a basic quadrilateral in Euclidean geometry that has two pairs of sides that are parallel to one another.

The sides that are perpendicular to one another, also known as facing sides, of a parallelogram, have the same length, and the angles that are perpendicular to one another have the same measure.

In most cases, a parallelogram will have two sets of parallel opposing sides. The angles that are diagonal to it are likewise equal.

When angle A is given as 79 degrees and the parallelogram ABCD is used, the remaining angles may be obtained as follows:

Angle A is diametrically opposed to angle C.

[tex]\angle A$ is opposite to $\angle C \\\\\angle A=\angle C \\\\\angle C=79^{\circ}[/tex]

Hence ∠C=79°

Because it is a parallelogram, the two remaining angles are complementary to one another and have the same degree:

[tex]\angle B=\angle D\\\\=0.5\left(360^{\circ}-2 \times 79^{\circ}\right)[/tex]

<B=101

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Answer:

F (-3) = -8

Step-by-step explanation:

We start by substituting x = -3 into F (x) = 2x - 2

That gets us to: F ( -3) = 2 * (-3) - 2

Then we calculate the equation, bringing us to:

F (-3) = -6 - 2

When we add -6 + -2 we get: F (-3) = -8

Answer:

Step-by-step explanation:

For Pizza 1, Adam multiplies 6 by 6 slices

For Pizza 2, he multiplies 6 by 7 slices

For Pizza 3, he multiplies 4 by 7 slices, while

for Pizza 4, he multiplies 4 by 8 slices.

A product is the outcome of multiplication or an expression that indicates factors to be multiplied in mathematics.

To put it another way, we may deduce that in math, multiplying implies adding equal groups.

The number of items in the group grows as we multiply. A multiplication issue includes the two elements and the product. The factors in the multiplication problem, 4 7 = 28, are the numbers 4 and 7, while the result (product) is the number 28.

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The new amount as a percentage of the price before the increase is =[tex]\frac{118.2x}{100}[/tex]

The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.

Let, the odd price be x then

we can write the new amount as a percentage of the price before increasing as

x ×[tex]\frac{(100+18.2)}{100}[/tex]

=[tex]\frac{118.2x}{100}[/tex]

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Step-by-step explanation:

Simplifying

6a + -9b = 0

Solving

6a + -9b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '9b' to each side of the equation.

6a + -9b + 9b = 0 + 9b

Combine like terms: -9b + 9b = 0

6a + 0 = 0 + 9b

6a = 0 + 9b

Remove the zero:

6a = 9b

Divide each side by '6'.

a = 1.5b

Simplifying

a = 1.5b

Answer:

A) 32 is 4 times as many as 8

C) 32 is 8 times as many as 4

Step-by-step explanation:

8x4=32

4×8=32

[tex]\vec{a}[/tex] and [tex]\vec{b}[/tex]  are two unit vectors. If [tex]\vec{5a} + \vec{3b}[/tex] and [tex]\vec {a} - \vec {b}[/tex] are perpendicular to each other, then the angle between a and b is ( 2n + 1)π/2.

As given in the question,

Given two unit vectors are : [tex]\vec{a}[/tex] and [tex]\vec{b}[/tex]

|a| = 1 and |b| = 1

Vectors which are perpendicular to each other are :

[tex]\vec{5a} + \vec{3b}[/tex] and [tex]\vec {a} - \vec {b}[/tex]

( [tex]\vec{5a} + \vec{3b}[/tex] ). ( [tex]\vec {a} - \vec {b}[/tex] ) = 0

⇒ 5|a|² -2a.b - 3|b|² = 0

⇒ 5(1)² - 2a.b - 3(1)² = 0

⇒ 5 -  2a.b - 3 = 0

⇒ 2[tex]\vec{a}[/tex].[tex]\vec{b}[/tex] = 2

⇒  [tex]\vec{a}.\vec{b}[/tex] = 1

Let θ be the angle between two vectors

   |a||b|cosθ = 1

⇒ (1)(1)cosθ = 1

⇒cosθ = 1

⇒θ = (2n+1)π/2

Therefore, [tex]\vec{a}[/tex] and [tex]\vec{b}[/tex]  are two unit vectors. If [tex]\vec{5a} + \vec{3b}[/tex] and [tex]\vec {a} - \vec {b}[/tex] are perpendicular to each other, then the angle between a and b is

( 2n + 1)π/2.

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The membership of the gym after 7 years is 1385 .

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable ). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

Given: The function : M(x)= 180x + 125

where x is the number of years so in this case we have to find the value of M when x= 7 years

Thus the given function on substituting the value becomes

M (7)= 180× 7 + 125

= 1385.

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We can try to write the expression 36+26 taking a common factor, so:

The option B is the correct answer.

SOLUTION

(a) From the information given in the question,

We will select a curve with 58 at its center which represents the mean and

41 and 75 at the left and right sides. That is gotten by subtracting and adding the standard deviation of 17.

Hence the answer is Graph D

(b) The region that represents less than 41 is seen in graph B

Hence graph B is the answer

(c) Option A

The probability is 0.1587 that a randomly selected cell phone plan in this population is less than $41 per month

Answer:

5 + 2x

Since 2 times a number is multiplication we make it 2x

The number of high-quality version downloads is 300.

Given:

Size of the standard version = 2.8 megabytes (MB).

Size of the high-quality version = 4.5 MB.

Total number of downloads = 870

Total download size = 2946 MB

Let the number of high-quality version downloads be x.

Then the number of standard version downloads will be 870 - x.

Now the sum of the number of downloads of each type multiplied by their sizes equals 2946 MB.

So the equation is,

4.5x + 2.8(870 - x) = 2946

4.5x + 2436 - 2.8x = 2946

1.7x = 2946 - 2436

1.7x = 510

x = 510/1.7

x = 300

Therefore, the number of high-quality version downloads is 300.

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The inches of wire that he will have left on a spoop after he makes the repair is 4 2/3 feet.

From the information, the electrician has a 16 foot spool of wire and he needs to cut an 11 foot, 4 inch piece from the spool to make a repair.

Therefore, the inches of wire that he will have left will be:

Note that 1 feet = 12 inches

11 foot 4 inches = 11 4/12 = 11 1/3

The amount left will be:

= 16 - 11 1/3

= 4 2/3 feet.

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Answer:

90 degrees

Step-by-step explanation:

We can take a look at that each these triangles are in truth right triangles, seeing that the two angles of and both have measures of 90 degrees.

If Peyton needs to order some new supplies for the restaurant where she works. The restaurant needs at least 732 forks. the number of sets of forks Peyton could buy for the restaurant to have enough forks is 44.5.

Let x represent the number of sets of forks

Formulate the inequality

287 + 10 × x = 732

Hence,

10x = 732 -287

10x = 445

Divide both side by 10x

x = 445/10

x = 44.5

Therefore we can conclude that 44.5 represent the number of the set of forks that could be bought.

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1220 km apart

rates

320 km/ hr

290 km/hr

___________________________________

x= t* rate

t = time in hours

x = distance in km

__________________

total distance = t1 * 320 Km/h + t2* 290 km/h

because they started at the same time

Total distance = 1220 km = t * 320 Km/h + t* 290 km/h

1220 = (320 + 290 ) t

1220 = 610 t

t = 1200/ 610

t = 2 hours

_______________________--

Answer

2 hours

The amount of Muskco's work force that he has in  his business is; 138 people

We are told that Muskco gave 88 people a bonus. Now, we are further told that if he had given 4 more people bonuses, then it means he would have rewarded two thirds of his workforce.

Thus we can begin too solve this problem to find the size of Muskco's work force by;

Let the total number of his workforce be denoted as x. Then the algebraic equation for this problem would be expressed as;

88 + 4 = (2/3)x

Simplify by adding up the left hand side values to get;

(2/3)x = 92

Use multiplication property of equality to Multiply both sides by 3 to get;

2x = (92 * 3)

2x = 276

Now, use division property of equality to divide both sides by 2 to get;

2x/2 = 276/2

x = 138

Thus, we would conclude from the calculations as seen in the above that the size of Muskco's workforce is 138 people.

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The given numbers are :

Simplify each term into decimal form :

- 2.5 = - 2.5

Now simplify the second term : -1 1/2

So, the numbers are :

Thus, we get :

The greater is the number with the neagtive sign least is the number,

So, the greatest number - 2.9 < - 2.5 < - 0.75 < - 0.5 < -0.3

Arrange of these number from least to greatest :

No comapre :

-2.9 < - 2.5 < - 0.75 < - 0.5 < -0.3

Answer : d)