Geometry class there are 15 boys and 10 girls. The students are presenting projects to the class. If Mrs. Brown selects students at random for presentations, what is the probability that the first 2 students chosen are girls?

Answers

Answer 1

The probability is 2/25

Related Questions

What does volume measure?

Answers

Volume measures the amount if space that is taken up by an object

Volume is a measurement that quantifies the amount of three-dimensional space occupied by an object, substance, or region.

What is a volume?

Volume is a fundamental physical quantity that describes the extent or size of an object in the context of its three dimensions: length, width, and height.

Volume is commonly expressed in cubic units, such as cubic meters (m³), cubic centimeters (cm³), cubic inches (in³), or cubic feet (ft³), depending on the system of measurement used. It can apply to various entities, including solid objects, liquids, gases, or even abstract concepts like the volume of data.

For solid objects, the volume represents the total amount of space enclosed within its boundaries. It is typically determined by measuring or calculating the product of the object's length, width, and height or through more complex mathematical formulas for irregular shapes.

In the case of liquids or gases, the volume refers to the amount of space occupied by the substance within a container. It can be measured directly using tools such as graduated cylinders or indirectly through displacement methods.

Understanding volume is essential in fields like physics, engineering, architecture, chemistry, and many others where knowledge of spatial quantities is required for designing, analyzing, or describing various objects or systems.

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Two Questions please help and explain

You spend $154 to make wooden bookends and plan to sell them online for $8.50 each. You will charge an additional $3.25 per bookend to wrap and ship them. How many bookends must you sell in order for your profit to be at least $600?
A) 40
B) 64
C) 65
D) 89

Erica has found a pair of running sneakers that she likes, costing $150. She has saved $31 already, and she has a job where she earns $8.50 per hour. How many hours will she have to work in order to afford the sneakers?
A) 17
B) 18
C) 22
D) 14

Answers

Question #2
Erica will have to work for 14 hours in order to buy her sneakers.
How to solve:
You subtract $31 from $150 which equals to $119
You multiply 8.50 (which is the amount of money she gets paid every hour) by the answers they gave you.
8.50 multiplied by 14 is 199
Erica had to work 14 hours to make $199

Your answer is D) 14

The first one is going to be C because when you like multiplying and them and then you're going to find your answer

Can you help me with theses problems plz.Also can you explain to me how to get it.Thank you

Answers

1-14, You're just dividing. Like #1, -14÷2=-7 (negative fourteen divided by two, equals negative seven). A positive and a positive make a positive, a negative and a positive make a negative, a negative and a negative, make a positive. The word problems your also dividing, for example, #15, -40÷4=-10. Use the numbers that are given to you.

If x=√987678948729 and y=15927085, then what is (x÷9.5357)π + y/9743268?

Answers

First, we determine the value of x by evaluating the equation given,
x = sqrt (987678948729)
x = 993,820.38

With the equation given above,
(x/9.5357)π +y/9743268
Substituting,
(993,820.38/9.5357)π + 15927085/9743268

Simplifying,
327,254 + 1.6347
Further simplifying,
327,255.6347

How can you find the sum [8 +(−4)] + (−8 + 4) using mental math?

Answers

For the first brackets, You can subtract 4 from 8 and that makes 4. For the second bracket, you can add -8 and 4 which gets you 4. You have simplified what is inside the brackets, now you can add them together. 4 and 4 equals 8. So the answer is 8. You can figure it out other ways also

you have 2 quaters and 5 dimes in your pocket write the ratio of quaters to the total number of coins

Answers

2:7
You have 2 quarters and the total number of coins is 7.

2 quarters....5 dimes....total of (5 + 2) = 7 coins

ratio of quarters to total number of coins...
so we have how many quarters ?....there are 2
and what is the total of coins ?...it is 7
so the ratio is 2:7 or 2 to 7 or 2/7 <===

with these types of problems u have to pay close attention to the wording...because if it wanted the ratio of dimes to total coins, it would be 5:7.....and if it wanted ratio of quarters to dimes, it would be 2:5....so just pay close attention to the wording

Jessica had $150 in her savings account on the first Sunday of November. Beginning this that week, she say $35 each week. Write a recursive rule that describes how much money Jessica Addie her savings account at the end of n weeks.

Answers

Hey there!

$150 is the amount that Jessica is starting with. That means that the first term, or a₁, will be 150. As the weeks progress, $35 dollars will be added on top of the amount from the previous week. That means that your recursive rule will be:

[tex]a_{1} = 150; a_{n} = a_{n-1}+35[/tex]

If you wanted to check this, you could plug in the data for each week, starting with 2 (since we already know week 1).

[tex]a_{1} = 150; a_{n} = a_{n-1}+35[/tex]
[tex]a_{1} = 150; a_{2} = a_{1}+35[/tex]
[tex]a_{1} = 150; a_{2} = 150+35[/tex]
[tex]a_{1} = 150; a_{2} = 185[/tex]

Hope this helped you out! :-)

what is 3.45 repeating as a mixed number

Answers

Answer:

3 9/20

Step-by-step explanation:

3.45 is 69/20

60 goes into 20 3 times

which leaves you with 3 9/20

Beatrice has 15 glasses and 20 mugs. She would like to set them out in identical groups, with none left over. In preparation for a dinner party. What is the greatest number of groups Beatrice can set out?

Answers

find the greatest common factor

factor each
15=3*5
20=2*2*5

common factor is 5

15/5=3
20/5=4

greatest number of groups is 5 groups
each group will have 3 glasses and 4 mugs

After 6 months the simple interest earned annually on an investment of $3000 was $811. Find the interest rate to the nearest tenth of a percent.

Answers

This is must be 3.7 you have to share and, to share you supposed to divided together

what is 320 million in scientific notation?

Answers

The scientific notation: 3.2 x10^2

The scientific notation of 320 million is 3.2 x [tex]10^8[/tex].

What is scientific notation?

It is the way of writing a large number between 1 to 10 with a power of 10.

Example:

2.9 x 10² is in scientific notation

3.4 x 10³ is in scientific notation

4.4 x 10³ is in scientific notation

We have,

320 million

This can be written as,

1 million = 1000000

So,

= 320 x [tex]10^6[/tex]

= 32 x [tex]10^7[/tex]

Multiply 10/10 to make a number between 1 and 10.

= 32/10 x 10 x [tex]10^7[/tex]

Make an exponent of base 10.

= 3.2 x [tex]10^8[/tex]

Thus,

The scientific notation of 320 million is 3.2 x [tex]10^8[/tex].

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x+6 /3 = 2+x-2/5

x+6 is a fraction so it's the numerator and the 3 is underneath
same with the right side, x-2 is the numerator and 5 is denominator. help please, i know the answer but I don't know how to get it

Answers

We can treat this problem like you regularly subtract fractions. First find the common denominator, which is 15.

So:

5(x+6)/15 = 30/15 + 3(x-2)/15

(5x+6)/15 - (30/15) - (3x - 6)/15

As you already know the answer, I'm assuming you can do the rest.

Hope this helps!

How many quarts of water must be added to 4 quarts of an 80% mixture to obtain a 50% mixture?

Answers

That would mean you would have to ad 3 quarts of water. :) I prefer to draw questions like these out.

To obtain a 50% mixture, 2.4 quarts of water must be added to 4 quarts of an 80% mixture.

To solve this problem, we'll use the concept of mixtures.

Let's denote:

x = the number of quarts of water to be added.

We have 4 quarts of an 80% mixture. This means that in these 4 quarts, 80% is the actual substance (let's call it A) and 20% is water.

So, the amount of substance A in the 4 quarts is [tex]$0.80 \times 4 = 3.2$[/tex]quarts, and the amount of water is [tex]$0.20 \times 4 = 0.8$[/tex] quarts.

When we add $x$ quarts of water, the total amount of water becomes 0.8 + x, and the total volume of the mixture becomes 4 + x quarts.

For the mixture to be 50%, the amount of substance A in the mixture should be equal to the amount of water. So, we set up the equation:

[tex]\[3.2 = 0.5 \times (4 + x)\][/tex]

Solving for x:

[tex]\[3.2 = 2 + 0.5x\]\[0.5x = 3.2 - 2\]\[0.5x = 1.2\]\[x = \frac{1.2}{0.5}\]\[x = 2.4\][/tex]

So, 2.4 quarts of water must be added to 4 quarts of an 80% mixture to obtain a 50% mixture.

the area of a four square court is 66 square feet. Estimate the side length,s, to the nearest tenth of a foot

Answers

Since it's a square court, all sides are equal, so we can square one side to find the area. S²=A

We know the area (66 ft²) but not the length of one Side...
Enter our known value, and take the square root of both sides:
S²=66
√S²=√66
S=√66
S≈8.12403.....round to the nearest tenth:
S=8.1 ft

The side of the four-square court is 8.1 ft.

Area of Square

The area of a square is given as the square of its side. the are of a square whose side is a is given as,

Area of Square = a²

Given to us

the area of a four-square court = 66 ft²

Assumption

Let's assume that the side of the four-square court is x.

Calculation

the area of a four-square court = area of square

[tex]66 = x^2\\x^2 = 66\\x = \sqrt{66}\\x=8.124[/tex]

Thus, the side of the four-square court is 8.124 ft. but we want the value to be the nearest tenth of a foot,

[tex]\rm{8.124\ ft \approx 8.1\ ft[/tex]

Hence, the side of the four-square court is 8.1 ft.

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what is the what is the unit rate of $32.05 / 15 gallons

Answers

Divide $32.05 by 15 for the unit rate per gallon. So 32.05/15= $2.14 per gallon.
Hope this helps!

Final answer:

To find the unit rate of $32.05 for 15 gallons, divide the total cost by the number of gallons, resulting in $2.14 per gallon. This unit rate helps to compare the cost per gallon with other price points.

Explanation:

The unit rate is a way to compare a quantity to one unit of another quantity. For the case of $32.05 per 15 gallons, we can calculate the unit rate by dividing the total cost by the number of gallons to find the cost per one gallon.

Step-by-step Calculation

Divide $32.05 by 15 gallons to find the unit rate in dollars per gallon.$32.05 ÷ 15 gallons = $2.14 per gallon.

This means the unit rate, or the cost for one gallon of gasoline, is $2.14 per gallon.

Comparing this with other unit prices provided: $2.20 per gallon, $2.00 per gallon, $1.80 per gallon, $1.60 per gallon, $1.40 per gallon, $1.20 per gallon, and $1.00 per gallon, we can observe how this unit rate fits within the broader range of prices and quantities.

the angle of elevation from a ship to the top of a 35 m lighthouse on the shore measure 28 degrees. How far is the ship from shore

Answers

I'm not sure, but it should be around 65.825.

If you put 28 into tan(), you'll get about 0.5317

If you then divide 35 by that, you'll get about 65.826ish.

I'm relatively sure that's what it is.

A sunflower in Julia Rosario's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 meters per day. Write an equation in slope-intercept form that models this situation. How tall will her sunflower be after two weeks?

Answers

y=0.6x+12
y=0.6(2)+12
y=13.2

An equation in slope-intercept form models given situation is y=0.6x+20 and the length of the sunflower after two weeks is 21.2 meters.

Given that, a sunflower in Julia Rosario's garden was 12 centimetres tall when it was first planted. Since then, it has grown approximately 0.6 meters per day.

We need to write an equation in slope-intercept form that models this situation.

What is the slope-intercept form?

The slope-intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis). The equation of the line is the equation that is satisfied by each point that lies on that line.

The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as y = mx + b.

Let y be the length of a sunflower plant and the number of days be x.

Now, y=0.6x+20

The length of the sunflower after two weeks is y=0.6×2+20

⇒y=1.2+20=21.2 meters

Therefore, an equation in slope-intercept form models given situation is y=0.6x+20 and the length of the sunflower after two weeks is 21.2 meters.

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Mia needs to bring ar least 25 pieces of fruit to the school picnic. She suggested both apples and oranges and was told to be sure to bring more that 10 apples

Answers

I think x + y ≥ 25, x ≥ 10, y ≥ 0

what is the question?

write write a subtraction sentence where the difference is positive. Use a positive and negative integer?

Answers

15.75 -(-3.85) + (-2.54)

When you subtract a negative number, it is the same as additon.
Therefore if you subtract a negative number from a positive number, the result will be positive.

9-(-2)=11

what is 89972 rounded to 3 significant figures

Answers

The approximation of 89972 to three significant digits is 900

How to round the number?

The number is given as:

89972

To round to three signficant digits, we simply count three digits from the left.

i.e. 899

Next, we start the approximation from the next digit

i.e. 7

Hence, the approximation of 89972 to three significant digits is 900

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Destiny read 1/4 of a book on the day she received it. The next day, she read 5/8 of the book. On the third day, she finished reading the book. What decimal represents the fraction of the book destiny read on the third day?

Answers

1/4 + 5/8 = 2/8 + 5/8 = 7/8...so she read 7/8 of the book on the first 2 days....that leaves 1/8 or (0.125) to read on the 3rd day to finish it.

This is a very easy question ,
first day = 1/4th of the book
2nd day=5/8th of the book
total = 1/4+5/8=2/8+5/8=(2+5)/8=7/8
Remaining book or the part of book she read on 3rd day is 1-(7/8)=(8-7)/8=1/8= 0.125 in decimal

One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a cannon, her distances measured 8.05 meters, 17.71 meters, 14.38 meters, and 19.35 meters. What was the total distance Gabriella flew that day?

Answers

My guess is 59.49 meters, you add all 4 of the distances together to get the total from that one day. Hope this helps :)

Final answer:

To calculate the total distance Gabriella flew in four shows at the circus, add up the distances she covered in each performance.

Explanation:

The total distance Gabriella flew on Saturday can be calculated by adding up the distances she covered in each show:

Distance 1: 8.05 meters

Distance 2: 17.71 meters

Distance 3: 14.38 meters

Distance 4: 19.35 meters

By adding these distances together, you can find the total distance Gabriella flew that day i.e. 8.05+17.71+14.38+19.35 = 59.49 m

What's 3/4 times 168

Answers

The correct answer is 126

The answer would be 126

How to solve-3r+9=-4r+5

Answers

subtract 5 from both sides then you get -3r+9=-4r then add 3r to both sides then you get 9=-1r then divide both sides by -1 and you get r=-9

Solve for c.

a(c−b)=d

A)c=d − ab/a

B)c=d − ab/b

C)c=ab − d/a

D)c=d + ab/a

Answers

a(c−b)=d
ac - ab = d
ac = d + ab
c = (d + ab) / a

answer is
D. c = (d + ab) / a

Answer: the correct option is

(D) [tex]c=\dfrac{d+ab}{a}.[/tex]

Step-by-step explanation: We are given to solve the following equation for the value of c :

[tex]a(c-b)=d~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To solve the given equation for c, we need to take c on one side and all other values on the other side of the equation.

The solution for c of equation (i) is as follows :

[tex]a(c-b)=d\\\\\Rightarrow ac-ab=d\\\\\Rightarrow ac=d+ab\\\\\Rightarrow c=\dfrac{d+ab}{a}.[/tex]

Thus, the required value of c is [tex]c=\dfrac{d+ab}{a}.[/tex]

Option (D) is CORRECT.

the temperature is -4f a high pressure front increases the temperature to 8f by how many degrees did the temperature increase

Answers

The temp. changed by 12f

Compare 5.7145 and √29 Show work

Answers

5.7145 is greater that the square root of 29

The number 5.38516 is greater than the square root of 29 or the square root of the number 29 is less than the number 5.7145.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The two numbers are:

5.7145 and √29

It is required to compare the numbers

The square root of the number 29 can be found using the division method.

The square root of the number 29 is 5.38516

As we know, the number line can be defined as the representation of the numbers on a straight line that goes infinitely on both sides.

Plotting the numbers 5.7145 and 5.38516 on a number line.

We will see the:

5.38516 < 5.7145 OR

5.7145 > 5.38516

Thus, the number 5.38516 is greater than the square root of 29 or the square root of the number 29 is less than the number 5.7145.

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What's an improper fraction is equal in mixed numbers 6 4/7

Answers

multiply the 7 (the denominator), and the 6 (the whole number). To this product, add the 4 (the numerator)
giving 46, to form the new numerator, and use the 7 as the new denominator.

So, 6 4/7 as an improper fraction is 46/7

The improper fraction equivalent to [tex]6\frac{4}{7}[/tex] is [tex]\frac{46}{7}[/tex].

An improper fraction is a fraction where the numerator is greater than the denominator.

A mixed fraction is defined as a fraction formed by combining a whole number and a fraction.

Since the given fraction is in mixed fraction so on solving it we get,

[tex]\dfrac{46}{7}[/tex].

Hence the required improper fraction will be [tex]\dfrac{46}{7}[/tex].

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Identify an ordered pair of the equation 2x = 6y – 24.

Answers

you can use a graph for this... (0,4), (1,13/3),(2, 14/3)

This is the answer (0,4).

Which rational number equals 0.1 repeating?

Answers

Answer:

0.1111.... = [tex]\frac{1}{9}[/tex].

Step-by-step explanation:

Given : 0.1 repeating

To find : Which rational number equals 0.1111......

Solution : We have given 0. 11111.........

We can see there is only one number is repeating , we will multiply it by 10

Let x = 0.1111.......

Multiply both sides by 10

10x = 10 * 0.1111.......

10x = 1.1111.......

We can write it in terms of x

10x = 1. 000 + 0.11111....

10 x = 1 + x

On subtracting both sides by x

10 x -x = 1

9 x = 1

On dividing both sides by 9

x = [tex]\frac{1}{9}[/tex].

0.1111.... = [tex]\frac{1}{9}[/tex].

Therefore, 0.1111.... = [tex]\frac{1}{9}[/tex].

The rational number that equals 0.1 repeating is 1/9.

The rational number that equals 0.1 repeating can be represented as follows:

Let x = 0.1 repeating

To convert the repeating decimal to a fraction, we can use the following method:

Let's multiply both sides of the equation by 10 to shift the decimal point one place to the right:

10x = 1.1 repeating

Now, subtract the original equation from this new equation to eliminate the repeating part:

10x - x = 1.1 repeating - 0.1 repeating

9x = 1

Divide both sides of the equation by 9 to solve for x:

x = 1/9

Therefore, the rational number that equals 0.1 repeating is 1/9.

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