Inscribing a circle means to--
*
Label the inside of the circle.
Draw a circle around the outside of a shape.
Create a circle with a specific purpose.
Draw a circle inside a shape.

The equation that can be used to determine the cost of one drink is 2x = 6.09

The sum of the prices for the movie tickets, refreshments, and voucher represents the total sum that Stephen and Paul will be required to pay.

Therefore,

The total amount paid is equal to the cost of two tickets + cost of the two drinks - coupon

So,

( 11 × 2 ) + ( x × 2 ) - 5 = 29.18

22 + 2x - 5 = 29.18

Subtracting 22 from each side of the equation.

22 + 2x - 5 - 22 = 29.18 - $22

2x - 5 = 7.18

Adding 5 on each side of the equation.

2x - 5 + 5 = 7.18 + 5

2x = 12.18

Now, divide each side of the equation by 2.

x = 6.09

Hence, the cost of one drink is $6.09

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Answer:

A. 17.5

B. yes

Step-by-step explanation:

7/10=.7 page a minute

25*.7=17.5 pages in 25 minutes

B

she reads .7 pages a minute

2>.7

Answer:

Part A- 17.5 pages. Part B- Yes as he reads 20 pages as you want to have a the same amount as minutes so 1x10 is 10 and you want to do the same with 2 so 2x

10 is 20.

Step-by-step explanation:

Part A- 10 min-7 pages

5min-3.5 pages

7x2=14+3.5=17.5

Answer:

y = -2x -3

Step-by-step explanation:

slope intercept form: y=mx+b

find slope or m:

m= y2-y1 / x2-x1

after plugging in values.. u get..

m= -2

further plug in one point in the slope intercept form.

you get ...

b= -3

Final plug into equation:

y = -2x -3

Answer:

привет как вы это t6767

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

The two angles shown here are congruent, so we will set them equal to each other. We will solve for x in the equation:

4x + 18 = 6x - 20

Subtract 4x from both sides:

18 = 2x - 20

Add 20 to both sides:

38 = 2x

Divide by 2 on both sides:

19 = x

So, the answer is “x = 19”

Hope this helps you!

Answer:

Step-by-step explanation:

We know that, If two line are perpendicular to each other wit slopes [tex]m_{1}[/tex] and [tex]m_{2}[/tex]  them [tex]m_{1} *m_{2}=-1[/tex]

Hence,

    [tex]7*(-1/7)=-1[/tex]

This shows that these two line are perpendicular to each other.

Answer:A and C

Step-by-step explanation::

The trial Balance as of May 31 is given in the table.

The trial balance shows the total debits and credits for each account and ensures that they balance.

We have,

Part A:

Cash 20,000

Computer 2,000

Martin, Capital 22,000

Part B:

Office Furniture 6,000

Accounts Payable 6,000

Part C:

Cash 2,000

Accounts Receivable 2,000

Part D:

Accounts Payable 3,000

Cash 1,500

Notes Payable 1,500

Part E:

Accounts Receivable 3,000

Accounting Revenue 3,000

Part F:

Martin, Withdrawals 3,500

Cash 3,500

Part G:

Cash 2,000

Accounts Receivable 2,000

Part H:

Salary Expense 1,200

Cash 1,200

Thus,

The trial Balance as of May 31 can be made as given in the table added.

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Answer: [tex]\frac{9}{16}[/tex]

Step-by-step explanation:

We need to find the ratio of girls to the total number of students. That means our ratio is going to be 72 (the number of girls) over 56+72 (boys + girls, the total number of students).

When you add 56+72, you'll get 128 in the denominator. Continuing to simplify the fraction, you'll end up with:

[tex]\frac{72}{128}[/tex] = [tex]\frac{9}{16}[/tex]

Depending on what format your teacher wants, this can be written as [tex]\frac{9}{16}[/tex] or 9:16.

The set of all real numbers x that satisfies [-3, 14) are :

-3,-2.5, -1.4, -2,-1,0,1, 1.7, 2,π,.....13.

What is Rational number ?

In mathematics, a rational number is any number that can be written as a fraction, in which the numerator (the top number) and the denominator (the bottom number) are both integers, and in which the numerator is not equal to zero. In other words which can be written in p/q form.

Due to the fact that the rational numbers as well as the irrational numbers can be added together, we can derive real numbers. This means that all real numbers are not rational numbers, since they contain irrational numbers as well.

The given set of real number is [-3 , 14) which implies that -3 is included and 14 is excluded in the given set of numbers and it is find the values of x that satisfy the set [-3 , 14) that is :

x includes all the values which can be represented in p/q form for example :

-3,-2.5, -1.4, -2,-1,0,1, 1.7, 2,π,.....13

which includes negative both  rational number, whole numbner, integers, natural numbers.

Therefore, The set of all real numbers x that satisfies [-3, 14) are :

-3,-2.5, -1.4, -2,-1,0,1, 1.7, 2,π,.....13.

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In linear equation ,The truck's relative position with respect to the car is 100 feet

What is linear equation ?

If the truck is moving at a seed "V" then its position after 8 seconds is going to be:

XT = V* t = V * 8 = 8 V

The car, which is initially 60 feet ahead of the truck and starts moving at 5 m/s faster than the truck, would have a speed given by: V + 5

And its position (relative to the truck's) would be:

XC = 60 + (V + 5) * t = 60 + (V + 5) * 8 = 60 + 40 + 8 V = 100ft + 8 V

then the position of the truck relative to that of the car would be given by the difference:

XT - XC = 8 V - (100 +8 V) = 8 V - 8 V - 100ft = -100 feet

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Step-by-step explanation:

5x+3x-17°-11°=180°

8x-28°=180°

8x=180°-28°

8x=152°

[tex] \frac{8x}{8} = \frac{152}{8} \\ x = 19[/tex]

Answer:

x=26

Step-by-step explanation:

since we are adding, you start by combining like terms. x's with x's and #'s with #'s. that leaves you with 8x-28=180. Your next step is to get x all by itself so you move the -28 to the other side by adding 28 to both parts. that leaves you with 8x=208. now you still have to get x by itself and right now its being multiplied with the 8 so to get rid of it you divide by 8 on both sides and that leaves you with x=26.

Answer:

10520000 approximately I think

the answer to x=45/45, x=1  We employ the factorization method in this.

Factorization, also known as factoring, is the mathematical process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication yields the original number, matrix, etc. You will mostly learn this idea in your lower secondary classes from grades 6 to 8.

based on the provided statement

How would I approach solving it?

-5x-4=7(-7-7x)-x

-5x-4=-49-49x-x

49-4=-49x-x+5x

45=45x

so x=45/45

   x =1

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Answer:

There are 22 $10 coins and 21 $20 coins.

Step-by-step explanation:

Let x = the number of $10 coins

Let y = the number of $20 coins

You have two unknows so you need two equations.

x + y = 43

10x + 20y = 640.

Rewrite the first equation solving for x

x + y = 43

x = 43 - y  Substitute 43 - y in for x in the second equation.

10x + 20 y = 640

10(43 - y) + 20y = 640

430 - 10y + 20y = 640  Subtract 430 from both sides of the equation

-10y + 20y = 210  Combine the y's

10y = 210  Divide both sides by 10

y = 21  This is the number of $20 coins.

Substitute 21 in for y in either of the original equations to solve for x

x + 21 = 43  Subtract 21 from both sides

x = 22  This is the number of $10 coin.

Check:

Substitute in 21 for y and 22  for x

x + y = 43

21 + 22 = 43

43 = 43  checks

10x + 20y = 640

10(22) + 20(21) = 640

220 + 420 = 640

640 = 640 Checks

The image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.

Using dilation rules, the dilated triangle is given at the end of the answer. The coordinates of the vertices are as follows:

A'(-6,6), B'(-3,0), C'(3,6).

The rule of the dilation is to dilate a figure by a factor of a, each coordinate of each vertex of the image is multiplied by a, that is, the following rule is applied:

(x,y) -> (ax, ay).

The coordinates of the vertices of ABC are given as follows:

A(-2,2), B(-1,0), C(1,2).

After a dilation with a scale factor of 3, the coordinates of the vertices of A'B'C' will be given as follows:

A'(-6,6), B'(-3,0), C'(3,6).

These coordinates are derived multiplying the coordinates of A, B and C by 3.

The image of the triangle is given at the graph at the end of the answer.

Hence, for the image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.

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The actual area of her office is 50 ft squared.

The blueprint for Zahra's new office measures 4 cm long and 2 cm wide.

The scale for the blueprint is 6 cm to 15 ft.

let's convert the units using the scale

6 cm = 15 ft

4cm = ?

cross multiply

length = 4 × 15 / 6

length = 60 / 6 = 10 ft

6 cm = 15 ft

2 cm = ?

cross multiply

width = 2 × 15 / 6

width = 30 / 6 = 5 ft

Therefore,

area of the actual office = 10 × 5

area of the actual office = 50 ft²

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The value of x is x = 18.25

The angles are given as

m∠FDE = 3x-15° and m∠FDB = (5x+59)°

The angles are supplementary angles

FDE + FDB = 180

This gives

3x - 15 + 5x + 59 = 180

Evaluate the like terms

8x = 146

Divide by 8

x = 18.25

Hence, the value of x is x = 18.25

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Answer:

Yes they do :)

(o´▽`o)ﾉ x

The larger bucket paint contains roughly the same amount of thermal energy as each of the smaller buckets of paint.

Thermal energy is the energy possessed by a substance or system as a result of particle movement within the object or system.

As, the thermal energy is due to the kinetic energy.

Thus, the kinetic energy of an object is directly proportional to its mass; thus, doubling the mass doubles the kinetic energy.

In, the given case, the paint contained in the two buckets are combined.

Thus, the mass is remained constant.

The larger bucket also have the the same temperature. thus, the thermal energy will not change.

Therefore, the amount of thermal energy with in larger bucket of paint is roughly equal to the amount of thermal energy in all of the smaller buckets of paint.

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The extension of the distance applied on the road is 540 miles.

According to the statement

We have to find that the length of the extension.

So, For this purpose, we know that the

The distance of an object can be defined as the complete path travelled.

From the given information:

Highway I-10 is having an extension added on. It will then be 3,000 miles long. How long is the extension? I-10 2,460

Then

From the given information,

Length of road after extension is = 3,000 miles

Length of road before extension is = 2,460 miles

Then

extension applied on the road = Length of road after extension - Length of road before extension

extension applied on the road = 3000 - 2460

extension applied on the road = 540.

So, The extension of the distance applied on the road is 540 miles.

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Answer:

i am not sure about my answer

D is a rigt answer.

Step-by-step explanation:

D is a right answer

The coordinates of A are (4,5).

Given, the mid-point of AB is M = (6 , ₋1) and

the coordinates of B is (8 , ₋7)

we know that midpoint formula is:

(x₁ ₊ x₂/2 , y₁ ₊ y₂/2) = M(x , y)

let the points be:

A (x, y) = (x₁ , y₁)

B (8 , ₋7) = (x₂ , y₂)

mid point M = (6 , ₋1)

(x₁ ₊ x₂/2 , y₁ ₊ y₂/2) = M(x , y)

substitute the above values in the formula:

(x ₊ 8/2 , y ₊ (₋7)/2) = (6 , ₋1)

x ₊ 8/2 = 6  and y ₋ 7/2 = ₋1

x ₊ 8 = 12 and y ₋ 7 = ₋2

x = 12 ₋ 8  and  y= ₋2 ₊ 7

x = 4 and y = 5

hence we get the coordinates of A as (4 , 5).

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The equation which best represents the total number of letters Natasha puts in envelopes in x hours is y = 42x.

Given,

Number of letters Natasha puts in envelopes = 42 letters in 1 hour

Total number of letters Natasha puts in envelopes in x hours = y

We have to find the equation which best represents y:

Here,

Natasha puts 42 letters in 1hour

So, in x hour Natasha can put 42 × X letters.

That is,

y = 42 × x

y = 42x

Therefore, the equation which best represents the total number of letters Natasha puts in envelopes in x hours is y = 42x.

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Applying the vertical angles theorem, we have:

x = 29

z = 13

Based on the vertical angles theorem, the vertical angles AIZ and GIM are congruent to each other.

Therefore:

7. m<AIZ = m<GIM

Substitute

3x - 56 = x + 2

3x - x = 56 + 2

2x = 58

x = 29

8. 4z + 7 + x + 2 = 90 (complementary angles)

Plug in the value of x

4z + 7 + 29 + 2 = 90

4z + 38 = 90

4z = 90 - 38

4z = 52

z = 52/4

z = 13

Therefore, applying the vertical angles theorem, we have:

x = 29

z = 13

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The unit rate is 2 pounds per gallon.

Henry's likely error could have been that he multiplied  fractions instead of dividing.

Given the rate  1/3 / 1/6 pound per gallon, this can be written in the unit rate by dividing 1/3  by 1/6 pound per gallon.

So, 1/3 divided by 1/6 can be written as  [tex]\frac{1/3}{1/6}[/tex]

which further can be simplified as [tex]\frac{1}{3}[/tex] × [tex]\frac{6}{1}[/tex]

and the answer comes out to be 2

Hence, the unit rate is 2 pounds per gallon.

Henry's likely error could have been that he multiplied instead of dividing. That is, he multiplied 1/3 by 1/6, Such that he gets

Hence, the 1/27 pound per gallon he got.

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The economic investment will be $415.

It should be noted that an investment is simply used to generate further wealth.

Therefore, the investment will be the addition of the values given. This will be:

= $125 + $200 + $20 + $70

= $415

Therefore, the economic investment will be $415.

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Answer:

I think its -6

Step-by-step explanation:

Hope it helps! =D

Taking into account the greatest common divisor, the greatest number of flowers in each group is 20.

The greatest common divisor is the largest number that exactly divides two or more numbers at the same time.

To calculate the greatest common multiple, follow these steps:

In summary, the common factors (those that are repeated) are multiplied with their smallest exponent.

In this case, there are 100 roses and 60 daises. To calculate the greatest number of flowers in each group, you have to calculate greatest common divisor.

Decomposing each number into prime factors:

The greatest common divisor between 60 and 100 is calculated as 2²×5, which results 20.

This means that the greatest number of flowers in each group is 20.

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