Last month, Janelle and Tom sold candy to raise money for their debate team. Tom sold 1/3 as much candy as Janelle did. If Janelle sold 3 5/6 boxes of candy, how many boxes of candy did Tom sell?

Answer: 13

Explanation:

21-8=13

z = 13  is the solution of the equation z +8 = 21.

When a mathematical expression is converted into an equivalent, typically shorter statement, it becomes simpler. Procedure simplification is one method to encourage uniformity in work effort, expense, and duration. It reduces diversity and variation that is detrimental, pointless, or unnecessary.

Given, an expression  z + 8 = 21

Simplifying it,

z = 21 - 8

z = 13

Therefore, The answer to the equation z + 8 = 21 is z = 13.

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Answer:

solution,

Total surface area:

\(2( \frac{1}{2} \times 6 \times 8) + 6 \times 20 + 8 \times 20 + 10 \times 20 \\ = 48 + 120 + 160 + 200 \\ = 528 \: {units}^{2} \)

Hope this helps...

Good luck on your assignment..

Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Using the combination formula, it is found that:

a) There are 210 distinct ways to choose the problems.

b) The probability is of 0.1667 = 16.67%.

c) The probability is of 0.3333 = 33.33%.

\(C_{n,x}\) gives the number of different combinations of x objects from a set of n elements, according by the following formula, involving factorials.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The order in which the problems are chosen is not important, which is the reason for the use of the combination formula in this problem.

4 problems are chosen from a set of 10, hence the number of ways to choose the problems is given by:

\(C_{10,4} = \frac{10!}{4!6!} = 210\)

The number of ways to choose 4 problems that she can solve is:

\(C_{7,4} = \frac{7!}{4!3!} = 35\)

Hence the probability is:

p = 35/210 = 0.1667 = 16.67%.

For item c, the desired outcomes are as follows:

Hence the probability is:

p = (7 + 63)/210 = 70/210 = 0.3333.

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Answer:

24 multiplied by 11 equals 264.

Step-by-step explanation:

24 x 11= 264

Answer:

264

Step-by-step explanation:

21 X 11 = 264

An equation to answer the question of how many people must attend the third show to have an average attendance of 3,000 when the other show attendance numbers are 2580, and 2920 is 9,000 = 2,580 + 2,920 + x.

An equation is a mathematical expression or statement that shows that two values are equal.

An equation uses the equation mark (=).

To have an average attendance per show of 3,000 for three shows, a total of 9,000 people must attend the three shows (3,000 x 3).

Attendance for the first show = 2,580

Attendance for the second show = 2,920

Total attendance for the two shows = 5,500

Required attendance for the third show, x = 9,000 = 2,580 + 2,920 + x

x = 9,000 - 5,500

x - 3,500

Thus, the equation for the third show attendance is 9,000 = 2,580 + 2,920 + x where x = 3,500.

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And the other show attendance numbers are 2580 and 2920.

Using the weighted mean, the minimum scores needed are given as follows:

a) To earn a B: Not possible.

b) To earn a C: 63.5.

The weighted mean is obtained by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

If these weights are proportions, then the weighted mean is given by the sum of each grade multiplied by it's proportion.

In the context of this problem, Tina grades are given as follows:

Hence her final grade is given as follows:

G = 68 x 0.6 + 75 x 0.1 + 90 x 0.1 + 0.2x = 57.3 + 0.2x.

For a grade of B, the minimum score is given as follows:

57.3 + 0.2x = 80

0.2x = 22.7

x = 22.7/0.2

x = 113.

Hence it is not possible to earn a B, as the maximum possible score is of 100.

For a grade of C, the minimum score is given as follows:

57.3 + 0.2x = 70

0.2x = 12.7

x = 12.7/0.2

x = 63.5.

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Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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Answer:

Step-by-step explanation:

see attached

Answer:

2 1/5 acres

Step-by-step explanation:

I'm guessing you want to find the area of an equally sized section. If so, you can divide the total of 8 4/5 by 4.

Convert to an improper fraction. 8*5 = 40+4= 44/5

Dividing is the same as multiplying by the reciprocal.

44/5 * 1/4 = 44/20

or 2 4/20 -> 2 1/5 acres

Answer:

V = (1/3)π(3.5)^2(11)

V ≈ 134.64 cubic centimeters

You use the pythagoras theorem to find the lenght of the hypotenuse:

You have the measure of the two legs: 40 and 9:

Answer: 5/2187

Step-by-step explanation: The equation for geometric sequence is (a (subroot) n = a (subroot) 1) x ratio^(n-1).

Answer:

Step-by-step explanation:

Cuales es los polígonos?

Answer: Option A is correct, which is 73

Answer:

25 minutes.

Step-by-step explanation:

A person makes an overseas call.

The telephone company charges 65 cents for the first minute.

Then 75 cents for each minute thereafter.

There is a 55 cent service charge.

1 dollar = 100 cents

65 cents = $0.65

75 cents = $0.75

55 cents = $0.55

For a phone call that cost $19.20 ;

Subtracting the service charge and the first minute charge from overall cost we get;

$19.20 - $0.55 - $0.65 = $18

For every additional minute there is a charge of $0.75

How many minutes make $18 ;

Cross multiplying this gives;

\(\frac{18}{0.75} * 1\) = 24  minutes.

So the call lasted 24 minutes + 1 minute = 25 minutes.

Answer:

g(-4) = 1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.

∴ g(-4) = 1

The numbers are 1 and 8.

We have,

Let's assume the lesser number as "x" and the greater number as "8x".

According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:

8x - x = 5x + 2

Simplifying the expression:

7x = 5x + 2

Subtracting 5x from both sides:

2x = 2

Dividing both sides by 2:

x = 1

So, the lesser number is 1 and the greater number is 8 times that, which is 8.

Therefore,

The numbers are 1 and 8.

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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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Answer:

5/8

Step-by-step explanation:

subtract 3/8 from 8/8 to get 5/8

Answer:

936,000

Step-by-step explanation:

936,292 rounded to the nearest 1,000 is 936,000 as 292 is less than 500, you have to round down, to get 936,000.

Part a: The data points appear to follow an exponential pattern. This is because the balance is increasing at a rate that is proportional to the current balance.

Part b: The equation of the best fit is y = 50(1.06)^x. This can be found using a variety of methods, including graphing the data points and fitting a curve to them, or using a statistical software package.

Part c: When x = 32, y = 50(1.06)^32 = $2,499.82.

Years since 1990, x 0 5 10 15 20 25 30

Balance, y $50 $62.31 $77.65 $96.76 $120.59 $150.27 $187.27 $2,499.82

The equation of the fitted curve is y = 50(1.06)^x.

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The graph of the function 25x² + 9y² - 108x - 54y - 44  is added as an attachment

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

25x² + 9y² - 108x - 54y - 44

The above function is the equation of an ellipse that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Kareem borrowed $7000 from the credit union based on the given interest rate.

We may use the simple interest formula to figure out how much Kareem borrowed:

I = Prt

Where r: yearly interest rate represented as a decimal, P: borrowed principal, I: interest paid, and t: amount of time in years.

We are aware that Kareem borrowed money for 6 years at an interest rate of 6% each year. We also know that he spent $2520 on interest in total. We may determine P using the following formula:

2520 = P0.066

2520 = 0.36P

P = 7000

Kareem thus took out a $7000 loan from the credit union.

In conclusion, we utilized the simple interest formula and the provided data on the interest rate, time, and total interest paid to calculate how much money Kareem borrowed from the credit union. We discovered that he took out a loan for $7000, the principal of which accrued $2520 in interest over the course of six years at an annual rate of 6%.

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Answer:

Below

Step-by-step explanation:

5.2 * .83     second

(5.2 * .83) * .83   =    5.3 * .83^2     third

.

= 5.2 ( .83)^4        Fifth   = 2.468 ft

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

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The additional weeks, w, will it take for their total distance run to be equal is 7 weeks.

From the information, Laura has already

run 36 miles and begins running 21 miles per week. This will be 36 + 21w.

Kirk has run 64 miles and runs 17 miles per week. This will be 64 + 17w

where w = number of weeks

This will be equated as:

36 + 21w = 64 + 17w

Collect like terms

21w - 17w = 64 - 36

4w = 28

Divide

w = 28/4

w = 7

It'll take 7 weeks.

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