Jan threw 21 darts and hit the bullseye 3 times. About how many bullseyes would you expect Jan to get if she threw 50 darts

Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)

The given cost function is c(q) = 100 + 2q + 3q^2. We need to find the average fixed cost of producing 2 units of output. An average fixed cost is calculated by dividing the total fixed cost by the quantity produced.

The fixed cost of producing any quantity is c(0) because it is the cost of fixed inputs that do not vary with the level of output.

Substituting q = 0 in the given cost function, we get,c(0) = 100 + 2(0) + 3(0)^2c(0) = 100Therefore, the fixed cost of producing any quantity is $100.

The average fixed cost of producing 2 units of output is obtained by dividing the fixed cost by the quantity produced, which is,$100/2 = $50Therefore, the average fixed cost of producing 2 units of output is $50, i.e., option (B).

Learn more about average fixed cost at https://brainly.com/question/31503645

#SPJ11

The measure of <COD  and <POT are 43 and 43degrees respectively

The point where two lines meet or intersect is known as an angle:

Is <COP and angle TOD are vertical angles, this means that they are equal i.e.

Given that:

<COP = 11x - 17

<TOD = 9x + 11

Equate both expressions

11x - 17 = 9x + 11

11x - 9x = 11 + 17

2x = 28

x = 28/2

x = 14

Get <COP

<COP = 11x - 17

<COP = 11(14) - 17

<COP = 154-17

<COP = 137 degrees

Since <COP = <TOD, hence <TOD = 137 degrees

Calculate <COD:

<COD + <TOD = 180

<COD + 137 = 180

<COD = 180 - 137

<COD  = 43 degrees

Also <POT = <COD = 43degrees(vertically opposite angles)

Hence the measure of <COD  and <POT are 43 and 43degrees respectively

Learn more here: https://brainly.com/question/17247176

Answer:a parallelogram with one right vertex angle and two adjacent equal sides. a quadrilateral with four equal sides and four right angles. a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals.

Step-by-step explanation:

The conditions ML ║ NO and LO ≅ MN are sufficient to show that the LMNO is a parallelogram.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a parallelogram, opposite sides are parallel and equal. And its diagonals are not equal but intersect at the mid-point.

The side ML is parallel to the NO that is given as

ML ║ NO

And the side LO is equal to the side MN

LO ≅ MN

These conditions are sufficient to show that the LMNO is a parallelogram.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

Answer:

ML ∥ NO, LO ≅ MN (1 and 3)

Step-by-step explanation:

edg

Answer:

x=1, y=3

Step-by-step explanation:

Rearrange equations 1 and 2 so that y is the subject

3x^2 = xy

Equation 1) y = 3x

Equation 2) 2y = 5x + 1

multiply the first equation by 2

2y = 6x

2y = 5x + 1

subtract the 2 equations from each other

2y - 2y = 6x - (5y +1)

0 = x - 1

x = 1

substitute x = 1 in the second equation

2y - 5(1) = 1

2y = 1 + 5

2y = 6

y = 3

The value of x and y from the simultaneous equation; 3x + 2y = 19, 4x - y = 29 is 7 and -1 respectively.

3x + 2y = 19 (1)

4x - y = 29 (2)

Multiply (2) by 2

8x - 2y = 58 (3)

Add (1) and (3)

3x + 2y = 19 (1)

8x - 2y = 58 (3)

11x = 77

x = 77/11

x = 7

4x - y = 29 (2)

4(7) - y = 29

28 - y = 29

subtract 28 from both sides

-y = 29 - 28

-y = 1

y = -1

Therefore, the solution to the equation is (x, y) = (7, -1)

Read more on simultaneous equation:

https://brainly.com/question/16863577

#SPJ1

Answer: 2(n - 12)

n is “the number”

Step-by-step explanation:

Hope that helps :D

Answer:

2(n - 12)

Step-by-step explanation:

Answer:

The property used will be property of zero.

Step-by-step explanation:

If an equation or expression ever equals zero, then it will be property of zero.

The common difference 9 will make 5, x, y, 32 an arithmetic sequence of 5, 14, 23, 32.

It is given that the arithmetic sequence is

5, x, y, 32

We know that for any arithmetic sequence the term aₙ is

aₙ = a + (n - 1)d

where,

a = first term

n = order of the value in the sequence

Since x is the second term

x = 5 + (2 - 1)d

or, x = 5 + d

Similarly,

y = 5 + 2d

32 = 5 + 3d

or, 3d = 27

or, d = 9

Hence, x = 14

y = 5 + 18

= 23

Hence, the common difference is 9

To know more about Arithmetic sequences visit

https://brainly.com/question/12952623

#SPJ4

There are 3003 ways to distribute the 15 pieces of candy to 5 children, regardless of the order in which the children receive the candy.

The concept of combinations is used to find the number of ways to choose a certain number of items from a larger set of items, without regard to their order. In this case, the larger set of items is the 15 pieces of candy (8 strawberry and 7 rhubarb), and we want to find the number of ways to choose 5 pieces of candy to give to 5 children.

The formula for combinations is C(n, k) = n! / (k! * (n-k)!), where n is the total number of items, k is the number of items to choose, and ! means factorial. Factorial of a number n is the product of all positive integers up to n, so for example, 5! = 5 * 4 * 3 * 2 * 1 = 120.

So, using this formula, we can calculate the number of combinations of 15 items taken 5 at a time:

C(15,5) = 15! / (5! * (15-5)!) = 15! / (5! * 10!) = 15 * 14 * 13 * 12 * 11 / (5 * 4 * 3 * 2 * 1) = 3003.

So there are 3003 ways to distribute the 15 pieces of candy to 5 children, regardless of the order in which the children receive the candy.

To learn more about distribute please click on below link.

https://brainly.com/question/1620226

#SPJ4

Answer: 41 inches

Step-by-step explanation:

Given the following :

Width of Television = 35.7 inches

Height of television = 20. 1 inches

The diagonal of the TV is the hypotenus of the rectangular shape formed by the television.

The diagonal, x, is calculated by:

x = √height^2 + width^2

x = √35.7^2 + 20.1^2

x = √1274.49 + 404.01

x = √1678.5

x = 40.969500

The diagonal of the television to the nearest while number is 41 inches .

Answer:

This should be 0,1

Step-by-step explanation:

I can barely see the graph bit it should be 0,1

Answer:

[-5,-13]

Step-by-step explanation:

To solve this, start by getting rid of the -1 by adding 1 to 8 now you're left with:

|x - 4| ≤ 9 now you will solve this like a regular absolute value inequality

Because the equation withing the absolute value signs can be negative, you will solve this equation twice, once with a negative answer, and the next time, with a positive answer. However, in order to get a negative answer the sign ≤ needs to be flipped. Now we can solve.

Equation 1:

x - 4 ≤ 9 add 4 to -4 so it cancels out, then add it to 9

x ≤ 13

Equation 2:

x - 4 ≥ -9 add 4 to -4 so it cancels out, then add it to -9

x ≥ -5

Both of these equations can be simplified and turned into one compound inequality:

-5 ≤ x ≤ 13

In interval notation, this would be written as:

[-5,13]

Answer:

y=-93

Step-by-step explanation:

You just substitute 10 for x

y=-7(10)-23

y=-70-23

y=-93

Answer:

it's 12 because

2×6=12

3×4=12

4×3=12

and all of them have twelve

Answer:

Step-by-step explanation:

2×6=12

3×4=12

4×3=12

Answer:

707.7

Step-by-step explanation:

3x-9.2 = 2114

2114+9.2 = 2123.2

3x = 2123.2

x = 707.7

Answer:

10.15

Step-by-step explanation:

3x-9.2 = 21.25

3x = 30.45

x = 10.15

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The equation represents the relationship between x and y is y = 5x + 3

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

The table of values

On the table of values, we can see that

y is 3 more than five times x

When represented as an equation, we have

y = 5x + 3

Hence, the equation is y = 5x + 3

Read more about equation at

brainly.com/question/2972832

#SPJ1

Answer:

number = 24

Step-by-step explanation:

3 x 8 = 24

24 / 3 = 8

To find the differential equation for a family of curves, we need to find an equation that relates the variables involved in the curves. For example, consider the family of curves given by:

y = mx + c

where m and c are constants. To find the differential equation for this family of curves, we can take the derivative of both sides with respect to x:

dy/dx = m

This is the differential equation for the family of curves.

To find the family of orthogonal trajectories, we need to find a new family of curves that intersect the original family of curves at right angles. We can use the fact that the product of the slopes of two perpendicular lines is -1. So, if the differential equation for the original family of curves is:

dy/dx = f(x, y)

then the differential equation for the family of orthogonal trajectories is:

dy/dx = -1/f(x, y)

To find a specific orthogonal trajectory, we need to solve this differential equation for y as a function of x.

Learn more about curves here:

https://brainly.com/question/31389331

#SPJ11

Answer:

Thus, it is possible to erect a pole at a point p on the boundary of the park at distances 5m and 12m respectively from gates B and A.

Step-by-step explanation:

Let P be the required location of pole .

A and B are the two gates.

Let the distance of pole at p from gate be 'x' meters

i.e. PB = x m

•°• AP = (x + 7)m and AB = 13 m

•°• AP² + BP² = AB² => (x +7)² + x =13²

Rejecting x =-12, we get x = 5

•°• PB = 5m

and

AP = 12m

(I hope this helped :)

The slope of the line that passes through the points (8, 2) and (10, 2) is 0, which means that the line is perfectly horizontal.

The slope of a line describes the direction and steepness of a line, and it is calculated by finding the difference in the y-values of two points and then dividing that difference by the difference in the x-values of the two points. In the case of the line that passes through the points (8, 2) and (10, 2), the difference in the y-values is 0, and the difference in the x-values is also 0. When we divide 0 by 0, the result is undefined; however, in this case, the slope of the line can be simplified to 0, which indicates that the line is perfectly horizontal. Therefore, the slope of the line that passes through the points (8, 2) and (10, 2) is 0.

The slope = (2 - 2) / (10 - 8)

The slope = 0 / 2

The slope = 0

Learn more about slope here

https://brainly.com/question/3605446

#SPJ4

C. 6y and 2x

_____________________________

3x - 6y + 2x + 5y =

3x + 2x + 5y - 6y =

( 3 + 2 )x + ( 5 - 6 )y =

5x - y

Answer:

3/8 cups

Step-by-step explanation:

Divide both sides by 2 to get the value for 1/3 cup of water:

1/3 cup water = 1/8 cup of oil

Now, multiply each side of the equation by 3 to get 1 cup of water:

1 cup water = 3/8 cup of oil

hope this helps!

Answer:

6

Step-by-step explanation:

plug in 1 for x and solve

f(1) = 3(1) + 3 = 3+ 3= 6

Answer:

the solution for x²+2x+8<0

Answer:

Kayak and Canoe rented for 3 hours

Step-by-step explanation:

Let the time for which they rent canoe & kayak = x hours  

Total canoe cost = 20.49 + 7.49x , Total kayak cost = 17.99 + 5.99x  

Given] Total canoe & kayak cost = 78.92

So, (20.49 + 7.49x) + (17.99 + 5.99x) = 78.92

20.49 + 17.99 + 7.49x + 5.99x =  78.92 ; 38.48 + 13.48x = 78.92

13.48x = 78.92 - 38.48 ; 13.48x = 40.44

x = 40.44 / 13.48 ; x = 3

3 hours

Answer:

7

Step-by-step explanation:

42/6=7

Answer:

7n

Step-by-step explanation:

Answer:

n x 7

Step-by-step explanation:

hope this helps