Mr. Frankel bought 5 tickets to a puppet show and spent $26. He bought a combination of child tickets for $2 and adult tickets for $10 each. Write a system of equations to determine the number of adult tickets, a, and the number of child tickets, c, he bought. Solve the system. *Show both the equations and solutions

The expression 35 × 10² written in word form is thirty-five times the second power of ten.

35 × 10²

35 × 10²

.= thirty-five times the second power of ten.

This is written in scientific notation

Scientific notation is a method of writing or displaying real numbers as a decimal number between 1 and 10 followed by an integer power of 10. It is also the alternative format of such a decimal number immediately followed by E and an integer.

For instance,

The number 0.00236 is written in scientific notation as 2.36×10^−3 or as 2.36E^-3.

Therefore, the expression 35 × 10² written in word form is thirty-five times the second power of ten.

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Answer:

-3.5, -3, -1, 3, 4.5

Step-by-step explanation:

Answer:

-3.5, -3, -1, 3, 4.5 because the higher the negative is, the lower the number.

The percentage of students at the college have a GPA between 2.3 and 3.3 is C. 68.26%.

How far is 2.3 from 2.8. This will be:

= (2.3-2.8) = -0.5

That means 2.3 is one standard deviation to the left of the mean.

How far is 3.3 from 2.8? This is (3.3-2.8) = 0.5

That means 3.3 is one standard deviation to the right of the mean.

According to the empirical rule 68% of normally distributed data is within 1 standard deviation of the mean.

Therefore, the correct option is C.

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At one college GPA's are normally distributed with a mean of 2.8 and a standard deviation of .5. What percentage of students at the college have a GPA between 2.3 and 3.3?

a)84.13% b)99.74% c) 68.26% d) 95.44%

Answer:

12

Step-by-step explanation:

Use the order of operations and solve

The quotient from the given division is 8.

Given that, 16 divided by 2.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 16/2

2|16|8

   16

_____

   0

Thus, quotient = 8 and remainder=0

Therefore, the quotient from the given division is 8.

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Answer:

A≈78.54

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

because i said so

Answer:

ok send the work now I am ready

Answer:

I’m not trying to mooch off points, just want to know where the flipping question is

Step-by-step explanation:

Would help if could

The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Answer:

A. Combination.

B. 17020

Step-by-step explanation:

A. Determination whether it is permutation or combination.

From the question given above, we were told that the student body of 185 students wants to elect two (2) representatives.

This is clearly combination because it involves a selecting process (i.e selecting 2 out of 185).

NOTE: Combination involves selecting while permutation involves arranging.

B. Determination of the combination.

Total number of people (n) = 185

Number of chosen people (r) = 2

Number of combination (ₙCᵣ) =?

ₙCᵣ = n! / (n – r)! r !

₁₈₅C₂ = 185! / (185 – 2)! 2!

₁₈₅C₂ = 185! / 183! 2!

₁₈₅C₂ = 185 × 184 × 183! / 183! 2!

₁₈₅C₂ = 185 × 184 / 2!

₁₈₅C₂ = 185 × 184 / 2 × 1

₁₈₅C₂ = 34040 / 2

₁₈₅C₂ = 17020

ANSWER:

193

EXPLANATION:

Given:

Common difference, d = 3

12th term, a12 = 10

To find:

The value of the 73rd term

Let's go ahead and determine the first term using the arithmetic sequence formula as seen below;

We can now go ahead and determine the 73rd term since we know that the first term is -23;

Therefore, the value of the 73rd term is 193

Rewrite the terms as similar expressions. Since the least common denominator of the three fractions is 6, multiply the numerator and the denominator of the first term by 2.

Combine like terms. Terms are considered like terms or similar terms if they both have the same literal coefficients. Thus, combine the first and the second term. Factor out the variable.

Add the fractions. Add the numerators and then copy the common denominator.

The given information is:

A is located at (-2,2)

M is located at (1,0)

M is the midpoint of AB.

To find the location of point B, we need to know the difference in the coordinates of point A and point M, and then, apply it to the coordinates of point M to find the location of point B.

The difference between A and M is:

M-A=(1-(-2), 0-2) = (1+2,-2) = (3,-2)

It means we need to add 3 to the x-coordinate of M and subtract 2 from the y-coordinate of M to find the location of B, thus:

Answer: point B is located at (4,-2)

Answer:

Start with 15 negative tiles. Separate the tiles into 3 equal groups. Each group will have 5 negative tiles, so -15 divided by 3 is -5.

Step-by-step explanation:

Answer:

  IV

Step-by-step explanation:

Cosine is positive in quadrants I and IV.

Cosecant (also sine) is negative in quadrants III and IV.

The quadrant where cos > 0 and csc < 0 is quadrant IV.

The expression for "triple the quantity m" is:

3m

Answer:

I guess $44,838.

Step-by-step explanation:

Interest for 1 year is $4081

So for 2 years is $8162

so substract it

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

250

Step-by-step explanation:

Hello There!

The prism shown is a pentagonal prism

And we need to find the lateral surface area ( pretty much area of everything except for the bases.)

We can calculate the lateral surface area by using this formula

\(la=5ah\)

where a (on the right hand side) equals the base edge length and h = height

(btw the 5 represents the number of sides)

so the base edge length of the shown figure is 5 and the height is 10

having found this information we plug it into the formula

\(la=5*5*10\\10*5=50\\50*5=250\)

so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²

Answer:be smart

Step-by-step explanation:be smart

The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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Answer:

symmetric property

Step-by-step explanation:

x=y then y=x

The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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Answer:1.2675x10^37

Step-by-step explanation:

3.9x10^33 x 3.25x10^3

3.9x3.25x10^33x10^3

12.675x10^(33+3)

12.675x10^36

1.2675x10^1x10^36

1.2675x10^(1+36)

1.2675x10^37

Answer:

for 3.25 ⋅ 10 to the power of 3 should be 3250 because 10 to the power of 3 equals 10 ⋅ 3 = 1000 and 1000 ⋅ 3.25 is 3250 because you move the decimal three places to the right ( someone helped my on it and i got it right)

for 3.9 ⋅ 10 to the power of 33 I think it is 1.2675x10^37

im not sure but i hope it helps :)

Answer:

The equation \(-4x^2+10x-8\) does not have any real zeroes.

Step-by-step explanation:

The given equation is \(-4x^2+10x-8\).

Let us compare it with standard quadratic equation \(ax^2+bx+c\)

a = -4

b = 10

c = -8  

The nature of zeroes is determined by Discriminant 'D'.

1. If D = 0, the quadratic equation has two equal real zeroes.

2. If D > 0, the quadratic equation has two unequal real zeroes.

3. If D < 0, the quadratic equation has two non-real or imaginary zeroes.

Formula for D is:

\(D=b^{2} -4ac\)

Putting the values of a, b and c to find D:

\(\Rightarrow 10^2 - 4(-4)(-8)\\\Rightarrow 10^2 - 4(4)(8)\\\Rightarrow 100 - 4(32)\\\Rightarrow 100 - 128\\\Rightarrow D = -28\)

Here, D is negative so the zeroes of this quadratic equation are imaginary.

Hence, no real zeroes for the given equation \(-4x^2+10x-8\).