HELP ASAP
Write 8,350,000,000 in scientific notation.


8.35 × 10−9

8.35 × 109

835 × 10−7

835 × 107

Given:

Number of adults = 155

Number of children = 230

Amount made = 1285.50

Mrs. Ramirez paid 53.75 for 2 adult tickets and 3 children tickets.

Let's find the system of equations that can be used to find the cost of an adult ticket a.

Let "a" represent the cost of an adult ticket

Let "c" represent the cost of each child's ticket.

We have the system of equations:

155a + 230c = 1285.50 ...........................equation 1

2a + 3c = 53.75 ...................................equation 2

Equation 1 represents the number of tickets sold by the movie theater.

Equation 2 represents the tickets bought by Mrs. Ramirez.

Therefore, the system of equations that can be used to find the cost of an adult ticket is:

155a + 230c = 1285.50

2a + 3c = 53.75

ANSWER:

155a + 230c = 1285.50

2a + 3c = 53.75

Answer:

3 over 12

Step-by-step explanation:

3 over 12

Answer: 3/12

Step-by-step explanation:

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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When Y is increased by 44%, X increases by 20%.

If X is proportional to the square root of Y, then we can express this relationship as X = k√Y, where k is the constant of proportionality. Now, let's consider the scenario where Y is increased by 44%.

Let's denote the initial value of Y as Y₀. When Y is increased by 44%, the new value of Y becomes Y₁ = Y₀ + 0.44Y₀ = 1.44Y₀.

Since X is proportional to the square root of Y, we can write the initial value of X as X₀ = k√Y₀, and the new value of X as X₁ = k√(1.44Y₀).

To find the percentage increase in X, we can calculate the difference between the new and initial values of X and express it as a percentage of the initial value:

Percentage increase in X = ((X₁ - X₀) / X₀) * 100

Substituting the values, we get:

Percentage increase in X = ((k√(1.44Y₀) - k√Y₀) / k√Y₀) * 100

Simplifying the expression, we find:

Percentage increase in X = ((√1.44 - √1) / √1) * 100

Percentage increase in X = (1.2 - 1) x 100

Percentage increase in X = 0.2 x 100

Percentage increase in X = 20%

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Answer:

Step-by-step explanation:

Given expression:

Simplify:

The answer choices:

Answer:

  (c)  x = 4, RS =13

Step-by-step explanation:

You want to find x and RS when RS=3x+1, ST=2x, and RT=21.

As with many multiple-choice problems, the only consistent answer is the correct one.

If x=20, then 3x+1 = RS = 3(20)+1 = 61. This eliminates choices A and D.

If x=4, then 3x+1 = RS = 3(4) +1 = 13. This eliminates choice B and selects choice C.

The correct answer is x=4 and RS=13.

__

Working it out

The sum of segment lengths is the total length.

  RS +ST = RT

  (3x +1) +(2x) = 21

  5x = 20 . . . . . . . . . subtract 1

  x = 4 . . . . . . . . . . . divide by 5

  RS = 3(4) +1 = 13

Answer:

Im pretty sure its A

Step-by-step explanation:

The most appropriate choice for equation of line in slope intercept form will be given by-

y = 2x - 8 is the required equation of line

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan \theta\)

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line

Here,

The given equation of line is y= 2x +3

Slope of this line = 2

Slope of the line parallel to this line = 2

The line passes through (-2, -12)

Equation of the required line = y - (-12) = 2(x - (-2))

                                                = y + 12 = 2x + 4

                                                = y = 2x + 4 - 12

                                                = y = 2x - 8

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The formula substituted into the equation I = P(1 + t)^t - P is 730 = 180,000(1 + 0.08)^0.08 - 180,000

I = P(1 + t)^t - P

where,

I = $1,000 - $270

= $730

P = $180,000

r = 4%

t = 30 days to years

= 1/12

= 0.08333333333333 years

I = P(1 + t)^t - P

730 = 180,000(1 + 0.08)^0.08 - 180,000

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Answer:

y=6/7x+11/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-5)/(-3-4)

m=-6/-7

m=6/7

y-y1=m(x-x1)

y-5=6/7(x-4)

y=6/7x-24/7+5

y=6/7x-24/7+35/7

y=6/7x+11/7

Answer:

00.398

Step-by-step explanation:

Answer:

Do you mean in expanded form? If so it's 0.3+0.09+0.008 I believe.

The polynomial is x^4 - 8x^3 - 30x^2 + 144x + 405 = 0. The solution is obtained using the concept of bi-quadratic equation.

A 4-degree equation is a bi-quadratic equation.

Sometimes the phrase "bi-quadratic equation" is used as a substitute for the phrase "quartic equation." Such problems variable are straightforward to resolve because they can be reduced to quadratic equations in the variable x=z^2, which can then be solved for x using the quadratic formula and then in terms of the original variables by calculating the square roots.

Here,

We are given two roots of the bi-quadratic equation which are -3 and 7 - 2i.

Now, we will find the other two roots of the bi-quadratic equation by using the conjugates of the given roots.

In order to find the conjugate of complex numbers, we have to change the sign of the imaginary part.

So, we will get the conjugate of 7 - 2i = 7+2i

Thus, all the four roots of the bi-quadratic equation are -3, 7+2i, 7 - 2i and -3.

If two roots of an equation are given as a and b, then we can express the equation as (x-a) (x-b) = 0.

So, using this, we will form the equation with two imaginary roots 7+2i and 7−2i, which is given as:

[x-(7−2i)][x-(7+2i)]=0

⇒[x-7+2i][x-7-2i]=0

⇒[(x-7)+2i][(x-7)−2i]=0

Using the identity (a+b)(a-b)=a^2-b^2 , we get

(x-7)^2-(2i)^2=0

∵i=√-1

⇒(x-7)^2+(√-4)^2=0

⇒(x-7)^2+(-4)=0

⇒(x-7)^2 - 4=0

Now we will form the equation with roots -3 and -3, which is

[x-(-3)][x-(-3)]=0

⇒(x+3)^2=0

Finally, we will now find the product of these two quadratic equations to get the required bi-quadratic equation

⇒[(x-7)^2 - 4] [(x+3)^2]=0

⇒[x^2 + 49 - 14x -4] [x^2 + 9 + 6x]=0

⇒[x^2 + 45 - 14x] [x^2 + 9 + 6x]=0

⇒x^4 + 9x^2 + 6x^3 + 45x^2 + 405 + 270x - 14x^3 - 126x - 84x^2 = 0

⇒x^4 - 8x^3 - 30x^2 + 144x + 405 = 0

Hence, the required polynomial is x^4 - 8x^3 - 30x^2 + 144x + 405 = 0

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Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

The statement "the sum of a two-digit number is less than the value of the original two-digit number" can be rewritten as conditional statement. If the sum of two digits of a two-digit number is less than the value of the original two-digit number, the number is valid.

A conditional statement, "if p, then q," with p representing the hypothesis and q representing the conclusion. We can identify the hypothesis and conclusion by rewriting the statement "the sum of the digits of a two-digit number is less than the value of the original two-digit number" as an if-then conditional statement.

The hypothesis is the condition that must be satisfied in order to valid the conclusion. In this case, the hypothesis is "the sum of the digits of a two-digit number is less than the value of the original two-digit number".

By combining these, we can rewrite the statement as follows:

If the sum of a two-digit number's digits is less than the value of the original two-digit number, the number is valid.

The hypothesis (the sum of the digits of a two-digit number is less than the value of the original two-digit number) is a sufficient condition for the conclusion, according to this conditional statement (the number is valid). In other words, if the hypothesis is correct, we can be certain that the conclusion is correct as well.

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The box and whiskers plot is made up of five points: the minimum, the first quartile (Q1), the median (Med), the third quartile (Q3), and the maximum. The minimum is the lowest value in the dataset and the maximum is the highest value in the dataset.

Median is the middle number in a set of numbers when the numbers are arranged in order from least to greatest. It is a type of measure of central tendency, which provides an indication of the “middle” value in a set of numbers. It is often used to measure the average of a set of numbers, particularly when there are extremely large or small values in the set.

The box and whiskers plot for this set of data is a visual representation of the data that makes it easier to interpret. The first quartile is the value that is 25% of the way through the dataset and the third quartile is the value that is 75% of the way through the dataset. The median is the middle value in the dataset.

To create a box and whiskers plot for this set of data, the minimum is 2, the first quartile is 4, the median is 5, the third quartile is 10, and the maximum is 14. The box and whiskers plot would then be represented by the following graph:

|                                 |

| 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |

|    |    |    |    |    |    |    |    |    |    |

|  2 |  4 |  5 | 10 | 14 |

The box and whiskers plot graphically illustrates the spread of the data and allows us to easily compare the data to other datasets. It is also useful for identifying outliers in the dataset, as any value outside of the box and whiskers plot is considered an outlier.

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Answer:

y = 4/3 x + 4/3

Step-by-step explanation:

y - (-4) = 4/3(x-(-4)

y+4 = 4/3 (x +4)

y + 4 = 4/3 x + 16/3

y = 4/3 x +16/3 -4

y = 4/3 x + (16- 12)/3

y = 4/3 x + 4/3

y = 4/3 x + 4/3

Answer:

y=4/3x+4/3

Step-by-step explanation:

-4=4/3(-4)+9

-4=-16/3+9

-4=-5 1/3+9

-4= 4 1/3

4+4 1/3=8 1/3

9-8 1/3=2/3

-4=4/3(-4)+2/3

-4=-16/3+2/3

-4=-14/3

-4=-4 2/3

2/3+2/3=4/3

-4=4/3(-4)+4/3

-4=-16/3+4/3

-4=-12/3

-4=-4

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

Number of people

6

5

5

6

3

1

Step-by-step explanation:

All you had to do was the count how much numbers there were on the list.

Like there were 6 0s.

Answer:

Hope this helps

Step-by-step explanation:

6 people did 0 sit ups

5 people did 1 sit ups

5 People did 2 sit ups

6 people did 3 sit ups

3 people did 4 sit ups

1 person did 5 sit ups

The volume of the larger sphere is 252π cubic meters greater than the volume of the smaller sphere.

According to the question,

We have the following information:

Radius of the larger sphere = 6 m

Radius of the smaller sphere = 3 m

We know that the following formula is used to find the volume of the sphere:

4π\(r^{3}\)/3 where r is the radius

Now, the difference of the volume of larger sphere and the smaller sphere:

4π/3 (\(6^{3} -3^{3}\))

4π/3 (216-27)

4π*189/3

63*4π

252π cubic meters

We can also solve it further by putting the value of π as 3.14 or 22/7.

Hence, the volume of the larger sphere is 252π cubic meters greater than the volume of the smaller sphere.

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The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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Answer:

88.8km/h

Step-by-step explanation:

Since 19 is a third of 57 we divide 60 minutes  by 3 which is 20 to find how long it took to drive 19 km.

since 55 is half of 110 I divide 60 minute by 2 to find how long it took drive 55 km.

I add the total time i took to drive which is 50 min but i need to convert it to hours so i do 50/60 then i get the total distance driven (19+55)74km. After i get those i divide 74 by .833333333 which is:

74km/.8333333h=88.8

To find the "slope", we have to get two points on the graph and find the slope.

The two points on the graph where line A intersects would be at (0,0)

and (4,30).

The slope formula is change in y/ change in x, so....

4 - 0 / 30 - 0 = 4 / 30 = 7.5

7.5 MILES PER HOUR

Answer:$940

Step-by-step explanation:

29%=$272.60

100%=

100%*$272.60/29%=$940

$940

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer:

D :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Braily please

Answer:

y = 15

Step-by-step explanation:

We can use ratios to solve

y          10

----- = ------------

33            22

Using cross products

22y = 10 *33

Divide each side by 22

22y/22 = 10 *33/22

y = 15

Answer:

15

Step-by-step explanation:

The similarity ratio is 22/ 10 and 33/y and 12/x

22/10 = 33/y cross multiply expressions 22y = 330 and y = 15

Answer:

Skateboard:

Scooter:

Bike:

Step-by-step explanation:

19 + 14 + 17 = 50 (there were 50 customers)

19 out of 50 = 38%

14 out of 50 = 28%

17 out of 50 = 34%

Hope this helps!

Answer:

1

Step-by-step explanation:

\(4 \times 4 - 5 \times 3\)

\(16 - 15 = 1\)

Answer:

1

Step-by-step explanation: