school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers? (4 points)

Answer:

-3901 silver coins (a loss)

Step-by-step explanation:

Probability of surviving the quest = 85.4% (Gain of 5,533 silver coins.)

If the insured were to die, the insurance company would pay a death benefit(incur a loss) of 59,086 silver coins.

Therefore:

The probability of not surviving the quest = 100%-85.4% =14.6%

Therefore, the expected value of this insurance policy to the insurance company

[tex]=(5,533 X 85.4\%)+(-59,086 X 14.6\%)\\=(5,533 X 0.854)+(-59,086 X 0.146)\\=-3901.37\\\approx -3901$ silver coins[/tex]

The expected value of this insurance policy to BIC is -3901 silver coins

The expected value of this insurance policy to BIC is -3901 silver coins (a loss)

Since st to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins

So here the expected value is

= 85.4% of 5,533 + (14.6% of -59,086)

= -3901

Hence, The expected value of this insurance policy to BIC is -3901 silver coins (a loss)

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Answer:

x=62

Step-by-step explanation:

In an isosceles triangle opposite sides are equal and sum of the sides is 180 degree

So, if we name them 'angle a', 'angle b' and 'angle c'

angle a= 56

a+b+c= 180

using the isosceles triangle formula b=c,

56+b+c=180

name b,c as x

56+2x=180

2x= 180-56

2x= 124

x=62

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The value of x in the triangle will be 62°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of triangle = 6

So, This is an isosceles triangle.

Third side of a triangle = 5.7

Now,

Since, The given triangle is an isosceles triangle.

So, It has measure of two angles = x°

And, The measure of third angle = 56°

Since, The sum of all angles of a triangle = 180°

Substitute all the value of angles, we get;

x° + x° + 56° = 180°

Solve for x as;

2x + 56 = 180

Subtract 56 both side,

2x + 56 - 56 = 180 - 56

2x = 124

Divide by 2, we get;

x = 62°

Thus, The value of x in the triangle will be 62°

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Answer:

g = 23/16

Step-by-step explanation:

3/16 = (-5/4) + g

Add 5/4 on both sides.

3/16 + 5/4 = g

Make denominators equal and add.

3/16 + 20/16 = g

23/16 = g

¿Cuanto tardara en tocar 10 campanadas?

Answer:

c. Not enough information

Answer:

Hello There. The correct answer is 10^(-4)

Explanation: 0.000 038 52 x 3.852 = Hope it Helps! ♡ 10^(-4)

ItsNobody~

Answer: C

Step-by-step explanation:

Answer:

The third one. Y= -1/2x^2 -2x -1

Step-by-step explanation:

Hey there! :)

Answer:

These two figures are similar because 5/3 equals 15/9.

Step-by-step explanation:

These figures are similar to each other, which means the side-lengths are proportional. Therefore:

[tex]\frac{5}{9} = \frac{15}{9}[/tex]

Side-lengths 15 and 9 are proportional to 5 and 3 because the two fractions are equivalent; the larger rectangle is just 3 times larger.

Answer: Francisco is correct

Step-by-step explanation:

Positive 4 and positive 7

Negative 3 and negative 2

4 * 7 = 28

-3 * -2 = 6

Answer:

D = 0

Step-by-step explanation:

Given

x-intercept = -3

Required

What does the discriminant represent?

The discriminant of a quadratic function can take any 3 values; these are as follows;

Which translates to

The question says that x-intercept = -3 is the only value;

This means that: x = -3 or x = -3

Analyzing the roots

This means they satisfy condition number 3;

Hence, D = 0

Answer:

-4

Explanation:

when subtracting a positive integer from a negative, the answer becomes smaller. If the question were to ask -3-(-1) negative 3 minus negative 1, the subtraction sign becomes a addition sign, and you add 1 to -3.

Answer: -4

Step-by-step explanation: To subtract the integers -1 - 1, I would first change the minus sign to plus a negative.

So we have -1 + -1.

Now let's use a number line to find our answer.

Starting at 0, -3 moves us 3 units to the left, then from there,

-1 moves us 1 more unit to the left and we end up at -4.

So -3 + -1 is -4.

Answer:

Solution,

Let the length and breadth of smaller rectangle be l and b.

Length and breadth of larger rectangle be 3L and 3 b.

Besides, depth is same in both beds.

As area of small rectangle=180

Area of larger rectangle:

[tex]3l \times 3b \\ = 9lb \\ = 9 \times 180 \\ = 1620 \: kg[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

A. 17.5

Step-by-step explanation:

4x+8 27

L-------------M-------------------------N

<------------------ 6x -------------------->

LM = 4x+8

MN = 27

LN = 6x

LM + MN = LN

4x+8 + 27 = 6x

35 = 2x

17.5 = x

Answer:

Length= 58

width= 26

Step-by-step explanation:

Answer:

15 units

Step-by-step explanation:

Given the equation which models the path of a stone as:

[tex]H(x)=-5x^2+10x+15[/tex]

At the time when the stone was thrown

x=0

Therefore:

[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]

The height of the stone at the time it is thrown is 15 units.

Answer: y = 2x + 6

Step-by-step explanation:

Slope-Intercept form is represented by y = mx + b, whereas m represents the slope and b represents the y-intercept.

m = 2 is the slope (up 2 units, over 1 unit) and the line goes through 6 on the y-axis, which is where + 6 comes in.

The line also goes through (-3, 0) using the slope.

31.7 + 42.8 + 26.4 + x/4 = 39.1

Add up all the plain numbers on the left side:

100.9 + x/4 = 39.1

Subtract 100.9 from each side:

x/4 = 39.1

Multiply each side by 4:

x = 156.4

Answer:

Step-by-step explanation:

To solve this, we have to first find the sum of each of the terms on the numerator of the fraction on the right:

31.7 + 42.8 + 26.4 + x = 100.9 + x

The sum of terms ind the numerator of the fraction on the right.

39.1 + 100.9 + x= 140 + x

Next step is to cancel out the denominators as they are equal.

Now we are left with

100.9+x = 140+x

Rearrange and solve

To get x = 156.4

Answer:

[tex]A2+By=C[/tex]

Step-by-step explanation:

Well standard form is [tex]Ax+By=C[/tex].

And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].

So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.

So [tex]Ax+By=C[/tex]

x -> 2

So answer is [tex]A2+By=C[/tex]

2A+By=C is the standard form of X=2

Two or more expressions with an Equal sign is called as Equation.

The standard form of a linear equation is Ax+By=C.

A times of x plus B times of y equal to C

A, B, and C are constants,

x and y are variables.

Standard form lets us quickly find the x- and y- intercepts.

By given x value is 2.

Now plug in the value of x in standard form of equation.

2 times of A plus B times of y equal to C

2A+By=C

Hence 2A+By=C is the standard form of X=2

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Answer:

2 root 10/ 7, or the second option.

Step-by-step explanation:

If a is 3, then b is root 40. (Pythagorean)

root 40= root 4x10, or 2 root 10

Tangent= opposite/hypotenuse

Tangent= 2 root 10/ 7

Answer:

Step-by-step explanation:

If Melinda has 4 different crayon and 2 different boxes and she is to put all 4 crayons into the two boxes so that each box has at least 1 crayon, this  can be achieved as follows. Note that at least one crayon must be in each box, this means no box must be left empty. Each box can take any number of crayon from 1 and above.

First box      Second box

1 crayon        3 crayons (first way)

2 crayons     2 crayons (2nd way)

3 crayons     1 crayon (3rd way)

This means that crayons can be divided into each box in 3 different ways provided that each box has at least 1 crayon.

Answer:

Does this help?

Step-by-step explanation:

Segment Addition Postulate: If B is between A and C, then AB + BC = AC. In geometry two objects that have the same size and shape are called congruent. ... The midpoint of a segment is the point that divides the segment into two congruent segments.

Answer:

C

Step-by-step explanation:

Okay, here we have the equation of the sine wave as;

y = asin(k(x + b))

By definition a represents the amplitude

k represents the frequency

b represents the horizontal shift or phase shift

Now let’s take a look at the graph.

By definition, the amplitude is the distance from crest to trough. It is the maximum displacement

From this particular graph, amplitude is 4

K is the frequency and this is 1/period

The period ;

Firstly we find the distance between two nodes here and that is 1/2 from the graph (3/4 to 1/4)

F = 1/T = 1/1/2 = 1/0.5 = 2

b is pi/4 ( phase is positive as it is increasing rightwards)

So the correct option here is C

Answer: it is

a=4, k=2, and b= pi/4

Step-by-step explanation:

got it right on A P E X

Answer:

b

Step-by-step explanation:

not a because equilateral would be all equal

scalene is all different

Answer:

scalene

Step-by-step explanation:

because all  sides are different.

Answer:

No... El 2 porsiento del 2 porsiento del 2 porsiento de 100 es 0.0008.

Step-by-step explanation:

100 * 2% = 100 * 0.02 = 2

2 * 2% = 2 * 0.02 = 0.04

0.04 * 2% = 0.04 * 0.02 = 0.0008

Answer:

B. 3/5 is correct.

Step-by-step explanation:

P(A or B) is the number of students within either set (circle) divided by the total number of students (10).

There are 6 students (3+1+2)  in the sets, so

P(A or B) = 6/10 = 3/5

Answer B. 3/5 is correct.

The value of P(A or B) from the Venn diagram is 2/5.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

Event A = Students that play basketball

Event B = Students that play Soccer

Now,

From the Venn diagram,

P(A) = 3/10

P(B) = 2/10

P(A ∩ B ) = 1/10

Now,

P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)

So,

P(A U B )

= P(A) + P(B) - P (A ∩ B)

= 3/10 + 2/10 - 1/10

= (3 + 2 - 1) / 10

= 4/10

= 2/5

Thus,

The value of P(A or B) is 2/5.

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Answer:

x+8

Step-by-step explanation:

[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]

Hope this helps!

Answer:

x + 8

Step-by-step explanation:

3 × (x + 2) + 2 × (1 - x)

3(x + 2) + 2(1 - x)

Expand the brackets.

3(x) + 3(2) + 2(1) + 2(-x)

Multiply the terms.

3x + 6 + 2 + -2x

Rearrange.

3x + - 2x + 6 + 2

Add like terms.

1x + 8

Answer:

C

Step-by-step explanation:

If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.

Answer:

C.

Step-by-step explanation:

In triangles, the largest angle is always opposite from the longest side.

In other words, since the angle opposite to side b is obtuse and there are only 180 degrees in a triangle, then side b must be the longest side.

In an obtuse triangle, the longest side squared will always be greater than the squared values of the two shorter sides.

The correct answer is C.

Answer:

5/8

Step-by-step explanation:

72 = 16/10 of 45

45 = 10/16 = 5/8 of 72

Answer:

x = 60

Step-by-step explanation:

L // M

Sum of co-interior angles = 180

2x + 5 + x - 5 = 180

Add the like terms

3x + 0 = 180

3x = 180

Divide both sides by 3

3x/3 = 180/3

x = 60