Games at the carnival cost $3 each. The prizes awarded to winners cost $150. How many games must be played to make at
least $507

Answer:

5+-

\(5 + - x {}^{2} \)

\( - x {}^{2} + 5\)

The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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The function of the sequence -4,-6,-9,-27/2,-81/2 is f(n) = -4(3/2)^(n - 1)

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

-4,-6,-9,-27/2,-81/2

The above sequence is a geometric sequence

This is because it has a common ratio calculated as

r = -6/-4

So, we have

r = 3/2

The sequence is then represented as

f(n) = ar^n-1

So, we have

f(n) = -4(3/2)^(n - 1)

Hence, the function is f(n) = -4(3/2)^(n - 1)

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Answer:

y = 50

x = 80

Step-by-step explanation:

An isosceles triangle therefore has both two equal sides and two equal angles.

the 2 equal angles are y and and the one next to the 130 degree

so 180- 130 = 50

y = 50

x = 180 - 50 -50 = 80 degree

Step-by-step explanation:

let, the reaming angle be z

again,

also,

Answer:

B.

Step-by-step explanation:

The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.

The total cost of the new outfits for all the members is $264. So, the correct answer is option A.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.

Here, the cost of outfits for a person is

(21+26+6+13)=66

The cost of outfits for the four members is

66×4=$264

Therefore, option A is the correct answer.

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Answer:

300

Step-by-step explanation:

Multiply the length which is 30 cm by 10 to give you the length in mm.

Answer:

0.3

Step-by-step explanation:

Answer: y

Step-by-step explanation:

For this, you would just add everything and then tag a y on the end.

3y-10y=-7y

-7y+y= -6y (y is the same thing as 1y)

-6y+7y= 1y which is just y

It is important to understand that you can only do this with like terms. So for example if you were asked to simplify:

5x+2x+3y+5y

the answer would be 7x+8y (you cannot combine x and y)

Hope this helps :)

Answer: y

Step-by-step explanation: I personally like to combine all the +y values first, which is equal to 11y. And then I minus 10y.

The value of a is 5 units if in the right triangle with an acute angle of 30 degrees option (D) 5 is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The missing figure is attached to the picture, please refer to the picture.

To find the value of using the sin ratio:

sin30 =  a/10

a = 10sin30

As we know sin30 = 1/2

a = 10(1/2)

a = 5

Thus, the value of a is 5 units if in the right triangle with an acute angle of 30 degrees option (D) 5 is correct.

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Consider the statement, every rectangle is a parallelogram.

Recall that a quadrilateral with both pairs of opposite sides parallel is called a parallelogram. Since this is true for every rectangle, it follows that every rectangle is a parallelogram.

Hence the statement is true.

Consider the statement, every parallelogram is a rectangle.

Notice that not all parallelograms are rectangles since for a rectangle, the interior angles must be right angles. This is not true for all parallelograms.

Hence the statement is false.

Consider the statement, every quadrilateral is a rhombus.

Recall that a parallelogram with four congruent sides is called a rhombus. Notice also that quadrilaterals are generally plane figures with four sides, so not all quadrilaterals are rhombuses.

Hence the statement is false.

Consider the statement, every rectangle with four congruent sides is a square.

Recall that a square is a parallelogram with four right angles and four congruent sides. Since a rectangle is a parallelogram with four right angles, it follows that when a rectangle has four congruent sides, it is a square.

Hence the statement is true.

The coordinates of the fourth vertex of the parallelogram S are (2, -1)

In a parallelogram, opposite sides are parallel and equal in length, so the vector that represents one side can be added to one vertex to find the next vertex.

Given vertices P and Q, the vector PQ can be represented as (Q - P) = (-2 - 3, 3 - 4) = (-5, -1).

So, to find the fourth vertex S, we can add the vector PQ to vertex R:

S = R + PQ = (-3, -2) - (-5, -1) = (2, -1)

Therefore, the coordinates of vertex S are (2, -1).

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The properties used to simplify the expression are given as follows:

In algebra, the combination of like terms refers to the process of simplifying expressions by adding or subtracting terms that have the same variable(s) raised to the same power(s).

In this problem, from step 1 to step 2, on the left side of the equality, all the terms with the variable n and exponent 1 were added, as were the constant terms, hence the like terms were combined.

In Step 4, the variable n was obtained applying the division operation, which is the inverse operation of the multiplication operation in Step 3.

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Answer:

1/26

Step-by-step explanation:

There are two sets colors; red and black.

13 ranks, each rank has 2 black cards and 2 red

but there are only 2 black eights

2/52

When we do this, the base of the parallelogram has length b 1 + b 2, and the height is the same as the trapezoids, so the area of the parallelogram is (b 1 + b 2)*h. Since the two trapezoids of the same size created this parallelogram, the area of one of those trapezoids is one half the area of the parallelogram

Answer:

Step-by-step explanation:

A

The amount of bird seed that Chidi put in his smaller feeder, given the amount put in the large feeder, is 2 kg of bird seed

The amount of bird seed that was put into the large feed, was more than the amount put in the small feed by 1 ³ / ₁₀ times.

To find the amount of seed that Chidi put in the small feeder can be done by the formula:

= Amount of bird seed in large feed / Proportion more than small feed

= 2 ³ / ₅ ÷ 1 ³ / ₁₀

= 2. 60 / 1. 30

= 2 kg of bird seed

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The full question is:

Chindi puts 2 3/5 kg of bird seed in his large feede. This is 1 3/10 times as much bird seed as he puts in his smaller feeder. How much bird seed does Chidi put in his smaller feeder?

Answer:

Step-by-step explanation:

In order to solve for x and y, we must assume the figure is a parallelogram. In a parallelogram, opposite angles are congruent.

  100 = 11x -10

  110 = 11x

  10 = x

__

  80 = 2y +4

  40 = y +2  . . . . divide by 2

  38 = y

Answer:

Step-by-step explanation:

The sum of exterior angles in a quadrilateral is always 360 degrees.

So, 2x+x+4x+3x=10x=360

Soling for x, we get x=36 degrees.

Answer:

(2, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = x

y = -x + 4

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

Answer:

We know that:

Jocelyn started with $0, this is represented with the point (0, $0)

After 8 weeks, she had $60, this is represented with the point (8, $60)

Jocelyn assumes that she saved money at a constant rate, so we can represent this with a linear relationship.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

In our case, y is the amount of money that she has saved, x is the number of weeks since she started saving, the slope is the amount of money that she saves each week, and the y-intercept is the initial amount of money that she had saved.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case, our two points are:

(0, $0) and (8, $60), then the slope will be:

a = ($60 - $0)/(8 - 0) = $60/8 = $7.5

our equation is:

y = $7.5*x + b

To find the value of b, just replace both values in one of the points in the equation, for example, the point (0, $0)

$0 = $7.5*0 + b

$0 = b

Then our equation is:

y = $7.5*x     for 0 ≥ x ≥ 8

Where i added a restriction in the domain because this is described only for the first 8 weeks after she started saving money.

We can find a formula for nth term of the given sequence as follows:

1, 5, 12, 22, 35

The 1st differences between terms:

4, 7, 10, 13

The 2nd differences :

3, 3, 3

Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: \(a n^2 + b n + c\), where c is a constant. The coefficients a, b, and the constant c can be found.

We can form the following 3 equations with 3 unknowns a, b, c:

\(1 = a\cdot1^2 + b\cdot1 + c\\5 = \cdot2^2 + b\cdot2 + c\\12 = a\cdot3^2 + b\cdot3 + c\)

Solving for a, b, c, we get:

a = 3/2, b = -1/2, c = 0

Therefore, the nth term of the given sequence is:

\(\boxed{ a_n = \dfrac{3}{2}n^2- \dfrac{1}{2} n}\)

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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Answer:

Use a calculator lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

s= 2, 2 and 11

I= 2, 5 and 3

u=2, 7 and 5

t= 2, 2, 3 and 3

b= 2, 2, 5 and 5

n= 2, 2, 19

p= 2, 3, 3 and 5

o= 2, 2 and 17

r= 3, 3 and 11

m= 2, 3, 3 and 7

d= 2, 3 and 7

e= 2, 2, 3 and 11

The probability of Event A is 1/360 and the probability of Event B is 1/15.

For Event A, we can calculate the probability by considering the order in which the acts are scheduled.

There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.

Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.

Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.

Therefore, the total number of possible ways to schedule all 6 acts is:

6 x 5 x 4 x 3 x 2 x 1 = 720

Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.

There are 2 remaining acts, so there are 2 possible choices for the fifth act.

Only one act remains for the last slot.

Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:

1 x 1 x 1 x 1 x 2 x 1 = 2

Thus, the probability of Event A is:

P(A) = 2/720 = 1/360

For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.

There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.

Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.

Therefore, the total number of possible ways to schedule the first four acts is:

4 x 3 x 2 x 1 = 24

Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.

Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:

24 x 2 = 48

Thus, the probability of Event B is:

P(B) = 48/720 = 1/15

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