Emma Bought 17 packets of rolls for a party there were 18 rolls in a packet after the party there were 8 rolls left how many rolls were eaten

Circle 1 has center at (0, 0)

The tangent passes through the center and point (1, -2).

Equation of tangent at (1, -2):

If the same line is tangent to circle 2 then they have one common point.

Solve the system:

Substitute x:

We see only one point of contact, (3, -1), this proves the line is tangent to circle 2 as well.

Given circle:

Rewrite the equation of the circle as:

The center is (7/6, 1) the radius is √229/36

The length of the tangent t is the leg of the right triangle with another leg r being the radius and the hypotenuse d being the distance between the center and the external point:

2^( - 1 ) × 4^( -1 ) =

2^( -1 ) × 2^( 2 × ( - 1) ) =

2^( - 1 ) × 2^( - 2 ) =

2^( - 1 - 2 ) =

2^( - 3 ) =

1/ 2^( 3 ) =

1/8

Total outcomes=6 i.e{1,2,3,4,5,6 }

No.of favourable outcomes = 3 i.e {I, 3,5}

P(odd)=3/6=1/2

Answer:

1/ 2

Step-by-step explanation:

\(probability \: of \:an \:event\: = \frac{number \: of \: favorable outcomes}{total \: number \: of \: outcomes} \)

favorable outcomes = odd numbers

=1, 3, 5

number of favorable outcomes = 3

total outcomes

= 1, 2, 3, 4, 5, 6

total number of outcomes = 6

probability = 3/ 6

= 1/ 2

Answer:

YZ = 13 units

Step-by-step explanation:

By intersecting chords theorem in a circle,

YA × AZ = WA × AX

By substituting the values of each segment in the formula,

10 × AZ = 6 × 5

AZ = \(\frac{30}{10}\)

AZ = 3 units

Therefore, YZ = AZ + AY

YZ = 3 + 10

YZ = 13 units

Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.

Step 1: Factor out the GCF:

2(3x + 4)

Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.

Therefore, the fully factorized form of 6x + 8 is:

2(3x + 4)

Step-by-step explanation:)

The factored expression is:

Step-by-step explanation:

To factor the expression, look at its GCF (greatest common factor).

Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :

The result is :

And now the 2 goes outside the parenthesis:

Hence, the answer is 2(3x + 4).

Answer:

Five

Step-by-step explanation:

Just look at the point where x=-6

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

Answer:

<(3) >(2)

Step-by-step explanation:

Genus < Phylum

Class < Family

Kingdom < Species

Order > Classes

Phylum > Family

im not 100%

but hope this helps pls mark as brainliest.

Answer:

A = 14 units ²

Step-by-step explanation:

Hello There!

The polygon shown is a triangle

The first step is to find the formula for area of a triangle

\(A=\frac{1}{2} bh\)

where b = base and h = height

the following dimensions are given

base = 7 and 4 = height

so all we have to do is plug in the values into the formula

\(A=\frac{1}{2} 7*4\\7*4=28\\\frac{1}{2} 28=14\\A=14\)

so we can conclude that the area of the polygon is 14 units ²

Answer:

area of polygon =area of TRIANGLE =

1/2 base×height =1/2×7×4=14 units²

Answer:

\( \frac{x}{115}= \frac{2\pi}{360}\)

And solving for x we got:

\( x= \frac{115}{160} 2\pi = \frac{23}{36}pi= 0.639 \pi\)

since the value obtained is higher than \(\pi/2\) and lower than \( \pi\) we can conclude that this angle would be in the second quadrant.

B. II

Step-by-step explanation:

In order to solve this problem we can write the angle in terms of pi using the following proportion rule:

\( \frac{x}{115}= \frac{2\pi}{360}\)

And solving for x we got:

\( x= \frac{115}{160} 2\pi = \frac{23}{36}pi= 0.639 \pi\)

since the value obtained is higher than \(\pi/2\) and lower than \( \pi\) we can conclude that this angle would be in the second quadrant.

B. II

The equation which having the solution n = -4 is,

11/4n + 2 = -3 + 3/2n.

What is solution of an equation?

Any value of the variable that satisfies the equality, that is, makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal, is a solution of the equation. Finding an equation's solution or solutions is known as solving the equation.

Consider, the given equation  -5n + 31 = -14n -5

Solving this equation,

14n - 5n = -5 - 31

       9n = -36

          n = -4

We have to find the equation which having the solution n = -4.

Consider, the first equation

-1 - 22n = -20n - 9

Solving this, we get

n = 4

Consider, the second equation

3 - 6n + 3n = -3 + 4 - 4n

Solving this, we get

n = -2

Consider, the third equation

1 = 0.75n + 3.25

Solving this, we get

n = 3

Consider, the fourth equation

11/4n + 2 = -3 + 3/2n

Solving this, we get

n = -4

Hence, the equation which having the solution n = -4 is,

11/4n + 2 = -3 + 3/2n.

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Answer:

1. The first theorem used is that vertical angles are congruent.

2. The next theorem used is that adjacent angles in a parallelogram are supplementary.

3. The definition of supplementary angles is then used for angle formed by intersecting  lines.

4. The theorem on vertical angles is used again.

5. Finally, the definition of the transitivity property is used to prove that alternate exterior angles are congruent.

Answer:

1 : 6  

Step-by-step explanation:

let's say you have a rectangle that is 2 x 3 and another that is 4 x 9

their sides have a ratio of 2:3 but their areas are 6 and 36 so the ratio of their areas is 1 :6

Answer:

composite

Step-by-step explanation:

Answer:

50 is composite

Step-by-step explanation:

it is even:)

Answer:

$343.45

Step-by-step explanation:

$318.75 x 1.0775 = $343.45

or

$318.75 x 0.0775 = $24.70

$318.75 + $24.70 = $343.45

The selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have a customer purchased a lawn mower for a total purchase price of $318.75.

Sales tax rate = 7.75%

Sales tax amount = 7.75% of $318.75

Sales tax amount = $24.64 ≈ $24.70

Original price = 318.75 + $24.70 = $343.45

Thus, the selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.

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Slope = change in y / change in x

Use the two pints shown on the graph.

Slope = ( 0- -2) / ( -6 -2)

Slope = 2/-8

Slope = -1/4

answer: slope = -1/4

Slope

Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

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Answer:

3.87 that should be the answer

Answer: {No Solution}

Step-by-step explanation:

In 30 minutes the two friends 2 miles apart.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given that, Wendy headed due north at 3 miles per hour, and Roger hiked due south at 6 miles per hour.

We know that, Time= Distance/Speed

Now, T₁= 2/3

T₂= 2/6 =1/3

T=T₁-T₂

T=2/3+1/3

T=1/3

T=0.33 hours

= 30 minutes

Therefore, in 30 minutes the two friends 2 miles apart.

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a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

-5, -3, -1 , 1 , 3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

36/12=3 feet

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Answer:  \(\textsf{285 total calories}\)

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Given: \(\textsf{1 egg = 95 calories}\)

Find: \(\textsf{Calories in 3 eggs}\)

Solution: In order to determine the total amount of calories in 3 eggs we must multiply the amount of calories in one egg by 3.  So we do 95 * 3 which gives us 285 total calories.

Answer:

10 1/2

Step-by-step explanation:

if you change each fraction into a decimal 1/2 is the greatest

Answer:

The correct answer will be "56".

Step-by-step explanation:

Use a combination of 8 things taken 3 at a time :

⇒  \(8_{C_{3}}\)

⇒  \(\frac{8!}{(3!(8 - 3)!)}\)

⇒  \(\frac{8!}{(3!5!)}\)

⇒  \(\frac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{3\times 2\times 1}\)

⇒  \(8\times 7\)

⇒  \(56\)

Using the principle of combination, the number of different random samples of size 3 that can be selected is 56.

Using the principle of combination :

Hence, we have ;

8C3 = [8! ÷ (8 - 3)! 3!]

8C3 = [8! ÷ 5!3!]

8C3 = (8 × 7 × 6) ÷ (3 × 2 × 1)

8C3 = 8 × 7

8C3 = 56

Hence, there are 56 different possible samples.

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Answer:

y = x - 1

Step-by-step explanation:

lmk if you want an explanation

(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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