find the measure of angle x

here, on solving  company reduced the size of their percentage  container of dishwashing soap to 4.5 ounces from its original 5 ounce capacity.

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

The initial size was x.

Since 100% - 10% = 90%, 0.9x is 10% smaller than the original size.

90% of the original size is equal to 4.5 ounces,

hence the calculation we use to determine the original size x is:

0.9 x = 4.5 x

= 4.5 / 0. 9 x = 5

The bottle's initial capacity was 5 ounces.

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A prism Always has two congruent, parallel bases.

Answer:

9,114.81 ft³

Step-by-step explanation:

The solid is composed of a cylinder and a hemisphere

Volume of the solid = volume of the cylinder + volume of the hemisphere

= πr²h + ⅔πr³

Where,

r = 8 ft

h = 40 ft

Plug in the values into the equation

Thus:

Volume of the solid = π*8²*40 + ⅔*π*8³

= 8,042.4772 + 1,072.33029

= 9,114.80729

= 9,114.81 ft³ (nearest hundredth)

9514 1404 393

Answer:

  f(x, y) = (-x-3, y-3)

Step-by-step explanation:

Reflection across the y-axis is ...

  r(x, y) = (-x, y)

Translation left and down 3 units each is ...

  t(x, y) = (x -3, y -3)

Then the composition of reflection then translation is ...

  f(x, y) = t(r(x,y)) = t(-x, y)

  f(x, y) = (-x-3, y-3)

120:36 is equivalent to 10:3

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"The trick with ratios is to always multiply or divide the numbers by the same value.

Given here the ratio is 120:36≡10:3

 Hence,  120:36 is equivalent to 10:3                                

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Answer:

$576.19

Step-by-step explanation:

I'm not 100% sure but I think it's 53.1

The three ways to purchase a vehicle include: (1) On lease  (2) On hire purchased and (3) On cash basis

A vehicle can be purchased on the following ways:

Lease:  This involves granting the user access on the property over a period of time before he could make payment

Hire purchase:  In this method, the buyer deposits first initial money while he agrees with the seller to make the payment of the balance on installment basis

Cash:  In this method the buyer pays cash at prompt or on the point of purchase

Advantages include:

It places the buyer on good life without cash

He enjoys the luxurious life

Disadvantages:

He can run away with the vehicle

The seller looses in cash of accident taking the life of the buye

Additional expenses include

Cost of maintenance

Repairs

Fueling

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Step-by-step explanation:

f(x)=x^2-4x-9

g(x)=-3x-5

so when f(g(x)) that x is a number

-3x-5 equals the number in f(x) so that x is -3x-5

f(-3x-5) and if f(x)=x^2-4x-9

then inserting in -3x-5 for x in f(x) and distrubute

(-3x-5)^2-4(-3x-5)-9

9x^2+42x+36

I hope that helps :)

Answer:

9x^2 + 42x + 16

Step-by-step explanation:

f(g(x))

Plug in the expression for g(x)

f(g(x)) = f(-3x - 5)

f(x) = x^2 - 4x - 9

For every x in f(x) replace it with -3x - 5

f(-3x - 5) = (-3x - 5)^2 - 4(-3x -5) -9

Expand

f(-3x - 5) =  (9x^2 + 30x + 25) + (12x + 20) - 9

Combine like terms

f(-3x - 5) = 9x^2 + 42x + 16

f(g(x)) = 9x^2 + 42x + 16

Answer:

[tex]Y = 20.239[/tex]

Step-by-step explanation:

Given

[tex]Y = 9.1411 + 0.4775X[/tex]

Required

The predicted value of [tex]Y[/tex] when [tex]X = 23.2417[/tex]

To do this, we substitute [tex]X = 23.2417[/tex] in the given equation

So, we have:

[tex]Y = 9.1411 + 0.4775X[/tex]

[tex]Y = 9.1411 + 0.4775 * 23.2417[/tex]

[tex]Y = 9.1411 + 11.0979[/tex]

[tex]Y = 20.239[/tex]

Answer:

A

Step-by-step explanation: if u read closely and think about it hard enough youll see

search in to find answer

Answer:

8j

Step-by-step explanation:

hope this helps!

Tim worked for a total of 7 and half hours on Monday and earned $56.25 gross pay.

Prior to payroll deductions, earned wages are referred to as gross pay. Employers utilize this amount—$60,000 per year or $25 per hour—when talking to employees about pay. Additionally, the federal and state income tax brackets sometimes refer to gross salary.

The amount of pay that employees get after payroll deductions varies; some may be optional, while others may be required.

Given, On Monday of his time card Tim clocked in at 8:15 am and clocked out at 4:15 pm.

So, The total number of hours she worked is 8 hours, 8:15 to 12:15 is 4 hours, and another four hours.

Also given the time he took for lunch is half an hour.

Therefore, The total hour he worked is 7:30 hours.

He earns $7.5 per hour so his gross pay for Monday is $(7.5×7.5).

= $56.25.

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Answer:

60

Step-by-step explanation:

The measure of ∠ATS is 120. The measure of a straight angle is always going to be 180 degrees. So first, we subtract 120 from 180 to find the measure of the interior angle.

∠STR = 180 - 120

= 60

The measure of all the interior angles in the triangle ΔSTR is 180 degrees.

180 - 60 - 60

= 60

The measure of ∠TSR is 60 degrees.

alice fox's step is 3/5 m and basil cat's step is 4/5m.

note: i will be using 1/5m instead of 20 cm to keep the units consistent

1. Set up table

     | Step Length | # of steps | Distance

A   |    x                 |    240/x     |   240

B   |       x+1/5       |  240/x+1/5 |   240

2. set up equation

240/x  -  100 = 240/x+0.2

3. Multiply the bases to make it:

240x+48 - 100x^2 -20x = 240x

=    100x^2-20x+48=0

4. Use vieta's theorem or quadratic equation to solve for x

x= 3/5, -4/5 but -4/5 doesnt work bc distance can't be negative

5. plug back in

A   |    3/5  

B   |       3/5+1/5

so: alice fox's step is 3/5 m and basil cat's step is 4/5m.

hope this was helpful!!

Answer:

Alice Fox’s step is 3/5, and Basil cat’s step is 4/5.

Step-by-step explanation:

Answer:

5761

Step-by-step explanation:

Using trigonometry to solve the question which has been represented by the attached triangle :

To obtain the value of h, altitude of airplane ;

Tan x = opposite /Adjacent

Tan 32 = 3600 / h

h = 3600 / tan 32

h = 3600 / 0.6248693

h = 5761.2043

Using the Double Number Line above, note that the unit that helps to find the missing numbers is given as:

Note that a unit rate is like a secret code to help you compare things. It helps you find missing numbers on a number line. For example, if 4 cookies cost $2, you can use the unit rate of $0.50/cookie to find out how much 8 cookies cost."

In the above case, we have several clues about the rate. The first relationship on the line is between 1 and 3.

But it only makes when we compare it to other iterations on the line such as 2 and 6.

Note that we can establish a relationship here which is that the greater number must be divided by three to get the lower number. That is:

3/3 = 1

6/3 = 2

Note well that the relationship between 0, 3, and 6 on the number line tell us that the upper units graduate in progressions of 3. that is:

0, 3, 6, 9, etc.

Thus, the missing numbers are:

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9514 1404 393

Answer:

  414.5 cm³

Step-by-step explanation:

The lateral area of a cylinder is given by the formula ...

  LA = 2πrh

Then the radius is ...

  r = LA/(2πh)

The volume of the cylinder is given by ...

  V = πr²h

Using the above expression for r, this becomes ...

  V = π(LA/(2πh))²h = LA²/(4πh)

  V = (250 cm²)²/(4π·12 cm) ≈ 414.47 cm³

The volume of the cylinder is about 414.5 cm³.

Both Kylie and Bennet are correct.

Opposite of the opposite of a number is negative if the number is a positive number.

Opposite of the opposite of a number is positive if the number is a negative number.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

The Opposite of x is -x.

Opposite of -x.

= -(-)

= x

Number = -x

The opposite of -x.

= -(-x)

= x

The opposite of x.

= -x

Thus,

Both the person is correct.

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Answer:

4+m

Step-by-step explanation:

You can't put them together 'cause they aren't like terms, so you just keep the sign that put them together in the first place.

The total cost of the 74 shirts will be;

⇒ $432

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The total cost in dollars, y, that a t-shirt company charges can be modeled by the toes per day by the equation is,

⇒ y = 5x + 62

Where, x represents the number of t-shirts sold.

Now,

Since, The equation is,

⇒ y = 5x + 62

Where, x represents the number of t-shirts sold.

Hence, For 74 shirts, the cost is fund by substitute x = 74 in above equation,

⇒ y = 5x + 62

⇒ y = 5 × 74 + 62

⇒ y = $432

Thus, The total cost of the 74 shirts = $432

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Answer: y = 85 - 6x

Step-by-step explanation:

Number of napkins remaining: y

Number of tables set: x

Akira starts out with 85 napkins. So, every time she sets a table, she is losing 6 napkins. The steady rate of napkins lost can be written with the following expression, as she is losing 6 napkins per table.

[tex]-6x[/tex]

These napkins are being removed from the total of 85 napkins:

[tex]85 - 6x[/tex]

The above equation also expresses the number of napkins remaining. Writing it as a proper equation:

[tex]y = 85 - 6x[/tex]

The final answer is: y = 85 - 6x

Answer:

98

Step-by-step explanation:

to find median you put the numbers in order from least to greatest then you see what number is in the middle

Answer:

Step-by-step explanation:

The median of an information set is found by putting the information set in ascending numerical order and identifying the center number. If there are an odd number of data values within the data set, the median could be a single number. If there are an excellent number of data values within the data set, the median is that the average of the 2 middle numbers. Sorting the information set for the values entered above we have:

98, 67, 98, 102, 74, 95, 99

Since there's an odd number of data values during this data set, there's just one middle number. With 7 data values, the center number is that the data value at position 4. Therefore, the median is 98.

On solving the provided question we can say that - The number of times the geometric figure maps onto itself during a 360° rotation is the order of rotational symmetry.

The order of rotational symmetry is the maximum number of rotations that a geometry may fit in. 360°A°, where A° is the smallest angle by which a figure may be rotated from its rotated shape to match its original shape, represents the degree of rotational symmetry. (180 degrees) A shape's degree of rotational symmetry is determined by how many times a perfect circle may be turned while maintaining its appearance. Only when a triangle is back in its original beginning position will a full 360° revolution appear the same.

If a geometric figure maps onto itself when rotated around an angle at its center, it possesses rotational symmetry.The number of times the geometric figure maps onto itself during a 360° rotation is the order of rotational symmetry.

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Answer:

the closest i can get is 30

Step-by-step explanation:

I'm sorry if it isn't right

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

Explanation:

Each tickmark on the graph represents a distance of 2 units. From A to P is 4 tickmarks, so that corresponds to 2*4 = 8 units. That's one of the bases. The other base is TR = 2. The bases are parallel to one another.

The height is always perpendicular to the base, and the height is 2*3 = 6 units.

So we have

b1 = 8, b2 = 2, and h = 6

Which means,

A = h*(b1+b2)/2

A = 6*(8+2)/2

A = 6*10/2

A = 60/2

A = 30

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

As a slightly longer alternative, we can plot points at (-2, 0) and (-2, -2). Let's call these two points M and N respectively. These two points subdivide the trapezoid into three pieces: Two triangles sandwiching a rectangle.

Add up those sub-areas to get the full area of the trapezoid:

12+12+6 = 30

Answer:

g(Los Angeles) = California

Step-by-step explanation:

The function g that associates each U.S. city with the state it resides in.

This means that the input of the function is an U.S. city, and the output is the state of the city.

For example:

g(Buffalo) = New York

What is g(Los Angeles)?

Los Angeles is in California. So

g(Los Angeles) = California

Answer:

2.5 litres

Step-by-step explanation: