A math class has 3 girls and 5 boys in the seventh grade and 3 girls and 3 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys? Write your answer as a fraction in simplest form.​

Answers

Answer 1

answer:

5/3 m

Step-by-step explanation:

because 3/3=1 so teacher choose boys


Related Questions

Given that ABC is a straight angle, if ABD measures 75°, then DBC
measures ____°.

Answers

Answer: 105

Step-by-step explanation: ABC is an 180 degree angle, and the ABD is 75, so 180-75 is 105!

The volume of a right circular cylinder is represented by V = πr ²h
where r is the radius of the base (in feet). What is the radius of a right
circular cylinder when the volume is 144 π cubic feet and the height
is 9 feet?

Answers

The radius is 4 feet.

Plug in what you know to the formula you have:

144π = π(r)^2(9)
Divide both sides by pi to get rid of that.
144 = 9(r)^2
Divide both sides by 9
16 = r^2
r = square root of 16 = 4

subtract: 4x/x^2-25 - 2/x^2+2x-15
a. 4x^2-14x+10/(x+5)(x-3)
b. 4x^2-14x-10/(x-5)(x+5)(x-3)
c. 4x^2-14x-10/(x-5)^2(x-3)
d. 4x^2-14x-10/(x-5)(x+5)(x-3)

Answers

Answer: [tex]\dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]

Step-by-step explanation:

Given

Subtract the expression

[tex]\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]

What ordered pair is a solution to 5x -6y = -4

A. (3,-3)
B. (3,3)
C. (4,4)

Answers

Answer:

(4,4)

Step-by-step explanation:

5(4)-6(4)=-4

20-24=-4

-4=-4

Solve the inequality n - 4/7> - 2/3

Answers

Answer:

N > -2/21

Step-by-step explanation:

Move -4/7 to the other side

n - 4/7 > - 2/3

n > - 2/3 + 4/7

Find a common denominator

n > - 14/21 + 12/21

Add

n > - 2/21

can somebody quickly answer this?
Lorraine prepared a 4.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?

Answers

Answer:10

Step-by-step explanation:

got the same question

Find the volume of the prism

Answers

Answer:

5040

Step-by-step explanation:

What is the y-intercept of y= -3x + 6

Answers

It’s 6, because this equation is written in slope-intercept (y = Mx + b) in which b represents the y-intercept.

The circular region of the sign (below, left) has an area of 154 square inches. Vanessa would like to place a tiny ribbon (shaded) around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. How many inches of ribbon will Vanessa need to buy if she estimates $\pi = 22/7 ?

Answers

Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.

What is the area of circle?

The area of a circle is given by the formula: A = πr^2, where A is the area of the circle, π is a constant (approximately equal to 3.14) and r is the radius of the circle.

Given the area of the circular region is 154 square inches. We can use the formula to find the radius: 154 = πr^2

By substituting π = 22/7 we get:

154 = (22/7)r^2

Solving for r, we get:

r = sqrt(154*7/22)

The circumference of the circle is given by the formula C = 2πr, where C is the circumference and r is the radius.

By substituting the value of r we got before, we get:

C = 2πr = 2*(22/7)sqrt(1547/22)

To be sure she has enough ribbon, Vanessa decides to buy 2 inches more of the ribbon than the original circle's circumference. So she needs to buy:

C + 2 = 2*(22/7)sqrt(1547/22) + 2 inches

Hence, Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.

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A taxicab company charges $2.30 plus $0.80 per mile. Carmen paid a fare of $11.90. Enter and solve an equation to find the number of miles she traveled. Use m as your variable.

Answers

The number of miles the taxicab traveled is 12.

The area of mathematics known as algebra aids in the representation of circumstances or problems into mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.

Given that,

The fixed charges = $ 2.30

Additional charges per miles = $ 0.80,

Thus, the additional charges for x number of miles = $ 0.80x

So, the total charges for x number of miles = Fixed charges + additional charges

=> 2.30 + 0.80x

According to the question,

2.30 + 0.80x = 11.90 (this is the required equation)

Subtracting 2.30 from both sides,

0.80x = 9.6

Dividing both sides by 0.80

x = 12

Hence, the taxicab traveled 12 miles.

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I already got the answers for these but I wanted to check them. I’m supposed to find the area and use 3.14 for pi. Thanks.

Answers

Answer:

10.

A = 12² - 2(6×5)

A = 144 - 2×30

A = 144 - 60

A = 84 in²

11.

A = π(12/2)² - (π3² + 3×6)

A = π36 - (π9 + 18)

A = π36 - (π3² + 18)

A = 113.04 - (28.26 + 18)

A = 66.8 yd²

12.

A = 9² - (10×2 + π3²)

A = 81 - (20 + 28.26)

A = 81 - 48.26

A = 32.7 m²

help.pls it is urgent. ​

Answers

Answer:

b=50

c=28

a=16

Step-by-step explanation:

The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth. A) 971.7 cm3 B) 1072.3 cm3 C) 1137.4 cm3 D) 2143.6 cm3

Answers

Answer:

A

Step-by-step explanation:

The cost for bowling includes $4.00 for shoes and $4.75 for each
game bowled. Which equation represents the amount, in dollars, y,
for x games bowled?

Answers

Answer:

y = 4.75x + 4

Step-by-step explanation:

it would be $4.75 for each game and you would only pay for shows once

The equation that represents the amount, in dollars, y,

for x games bowled is y = 4.00 + 4.75x

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The cost for bowling includes a fixed cost of $4.00 for shoes, and an additional cost of $4.75 for each game bowled.

y = 4.00 + 4.75x

This equation can be interpreted as follows: the fixed cost of $4.00 is added to the variable cost of $4.75 per game, multiplied by the number of games bowled (x).

The result is the total cost, represented by y

Therefore,

The total cost for x games bowled can be represented by the equation:

y = 4.00 + 4.75x

where y is the total cost in dollars, and x is the number of games bowled.

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A person purchased an ounce of gold for $250 in January of 2000. The value of the
gold increased by 23% over the next 10 years. What is the growth factor?
1.35
0.75
0.23
0.64

Answers

0.64 is the answer to this question

Arturo has 9 cups of dog food he gives his dog 1/3 cup of food at each meal how many meals does Arturo have for his dog

Answers

Answer:

27 meals

Step-by-step explanation:

Divide 9 cups by (1/3 cup per meal):

    9 cups              9       3

--------------------- = ----- * ----- meals = 27 meals

1/3 cup / meal       1       1

Recall that division by a fraction is equivalent to multiplying by the reciprocal of that fraction:   Division by 1/3 is equivalent to multiplying by 3/1.

PLS HELP ME

Answers

Step-by-step explanation:

I'm not sure what has infinite x-intercepts

What is the volume of this prism?

Answers

Answer:

17

Step-by-step explanation:

length*width*height=volume

5 * 2 * 1.7= 17

What is the solution to the system of equations 3x 2y 7 and Y 3x 11?

Answers

The solution of the given system of equations is x = -7/3 and y = 7.

The given system of equations is given as,

3x + 2y = 7

y = 3x + 11

To solve this system of equations, we need to eliminate one of the variables. We can eliminate y by subtracting the second equation from the first.

3x + 2y = 7

y = 3x + 11

⇒ 3x + 2y - y = 7 - 11

⇒ 3x + 2y - 3x - 11 = -4

⇒ 2y - 11 = -4

⇒ 2y = -4 + 11

⇒ 2y = 7

Now, substitute the value of y in the first equation to find the value of x.

3x + 2(7) = 7

⇒ 3x + 14 = 7

⇒ 3x = 7 - 14

⇒ 3x = -7

⇒ x = -7/3

Therefore, the solution of the given system of equations is x = -7/3 and y = 7.

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What decimal is equivalent to - 3 1/8?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-3 \dfrac{1}{8}}\\\\\mathsf{= - \dfrac{23}{8}}\\\\\mathsf{-23\div8 }\\\\\mathsf{= \bf -2.875}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf -2.875}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the new amount.
I had 425 baseball cards and I sold 20% of them.
How many do I have left?


Answers

Answer:

425-(425×0.2)

425-85

340

Answer:

340 baseball cards

Step-by-step explanation:

You sold 20% of 420, therefore,

425 - 20% * 425 = 340

You have 340 baseball cards left.

Thenks and mark me brainliest :)

Graph the image of square KLMN after a translation 6 units left and 4 units up.

Answers

The coordinates of the image of the square KLMN are:

K = (0, -1)

L = (2, -1)

M = (2, 1)

N = (0, 1)

The graph of the image is given below.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of the square KLMN are:

K = (6, -5)

L = (8, -5)

M = (8, -3)

N = (6, -3)

Now,

Translation of 6 units left and 4 units up.

This means,

K = (6 - 6, -5 + 4) = (0, -1)

L = (8 - 6, -5 + 4) = (2, -1)

M = (8 - 6, -3 + 4) = (2, 1)

N = (6 - 6, -3 + 4) = (0, 1)

Thus,

The image of the square KLMN will be on the following coordinates.

K = (0, -1)

L = (2, -1)

M = (2, 1)

N = (0, 1)

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Practice
Example 1
Use the graphs to determine the number of solutions the system
has. Then state whether the system of equations is consistent or
inconsistent and if it is independent or dependent.
1. y=x-1
y = -x + 1
3. y = x + 4
2x - 2y = 2
5. y = 0.5x
y=x+2
7. 2x - 2y = -4
-10x - 5y = 15
2. x-y=-4
y=x+4
4. y=2x-3
2x - 2y = 2
6. 4x+6y=12
2x + 3y = 6
8. 2x + 3y = 10
4x + 6y = 12
Period
GO Practice Spiral Review Extra Practice
Examples 2 and 3
Graph each system and determine the nu
.
2x+3y=6
y=x+4
x-y=-4
A
y=x-1
y=2x-3
2x+3y=10
y=x+2
Date
2x-2y=-4
.
2x-2y=2
y=-x+
y=0.5x
4x+6y=12
-10x-5y=15

Answers

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

what is solution ?

a value or set of values that, when used as a stand-in for one or more equation's variables, cause the equation to be true. a strategy or approach for resolving a problem, such as the solutions to the equation x2 = 4 being 2 and -2. a description of a resolution. to be more precise: a group of variable values that satisfy an equation.  The equation 3(2)+5=11 states that 6+5=11 is accurate. So, the solution is 2.

given

y = 3x + 1

y = 3x + 1

The two equations are independent and consistent since they cross at a single precise location.

y = 3x + 1

y = x + 3

The two equations are independent and consistent since they cross at a single precise location.

y = x + 3

These two equations are incompatible because they do not intersect.

y = x + 3

To identify which line it is, rearrange the first equation into slope-intercept form.

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

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please help! you will get brainliest

Answers

Answer:

the answer is 1.33333333333

Unit 5: Systems of Equations & Inequalities
Homework 3: Solving Systems by Elimination (Day 1)

Answers

Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:

=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1

Equation: What is it?

A mathematical equation is a formula that joins two statements with the equal sign, or =, to express equality. All mathematical formulas, including equations, have an equal sign. Algebra is frequently utilized in equations. Algebra is used in mathematics when we don't know the exact quantity to compute. A mathematical statement demonstrating the equality of two mathematical expressions is the definition of an equation in algebra. For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14.

Here,

Any equation can be changed to intercept form by dividing by the constant on the right:

=> x/3 + y/3 =1

=> x/1.2 + y/(-1) = 1

These inform you that only graph A is appropriate because the x- and y-intercepts of the first equation are 3 in this case. Given that it has an x-intercept of 1.2 and a y-intercept of -1, the second equation also matches with graph A.

Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:

=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1

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ILLL GIVE YOU SO MANY POINTS (50 IF YOU ANSWER CORRECTLY AND MARK YOU BRAINLIEST BUT IF YOU DONT I WILL FLAG YOU
What is the probability that a point chosen at random in the given figure will be inside the larger triangle and outside the smaller triangle? Enter your answer, as a fraction in simplest form, in the box. P(inside larger triangle and outside smaller triangle) =

Answers

Answer:

Given:

Area of a triangle = (h*b) / 2

Area of smaller triangle = (4cm * 4cm) / 2 = 16cm² / 2 = 8 cm²

Area of larger triangle = (6cm * 10cm) / 2 = 60cm² / 2 = 30 cm²

30cm² - 8cm² = 22cm²

Probability that the point is inside the large triangle but outside the small triangle:

22cm² / 30cm² → 11/15 → 0.73 or 73%

Answer:

answering so you can give the other person brainiest! :0

Step-by-step explanation:

thanks for the points!

You roll a six-sided number cube and flip a coin.What is the probality of rolling a number less than 2 and flipping heads

Answers

Answer:

1 / 12

Step-by-step explanation:

A six - sided coin :

Sample space = (1, 2, 3, 4, 5, 6)

Flipping a number less Than 2

Required outcome = (1)

P(number less Than 2) = required outcome / sole space = 1 / 6

Flipping a head from a coin toss :

Sample space = (H, T)

P(head) = 1 /2

P(number less Than 2 and flipping head) :

= 1/2 * 1 /6

= 1 / 12

Josh exercises no less than 40 minutes per day.
Use t to represent Josh's amount of exercise (in minutes per day).

Answers

Answer

x ≥ 40

Step-by-step explanation:

Since Josh only exercises more or equal to 40 min, this is how you would represent this problem.

The linear factors of the cubic are .

Answers

Answer:

(x-2)(x - 3)(x - 5)

(x - 2)(x-3)(x - 5)(x + 5)

(x + 2)(x + 3)(x + 5)

(x + 2)(x+3)(x - 5)

Answer:

first option

Step-by-step explanation:

(x-2)(x-3)(x-5)

(a) Write an inequality for which 3, -4, 0, and 2,300 are solutions

(b) How many total solutions are there to your inequality?
(hurry)

Answers

The inequality be -4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

If x is an integer number, we have 2,305 solutions.

What is meant by inequality?

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

Let the given data be 3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}

Let the inequality be -4 ≤ x ≤ 2,300

The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.

Here x exists a real number, then we contain infinite solutions.

If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)

the number zero (1)

We would have: 4 + 2,300 + 1 = 2,305 integer solutions.

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The inequality be -4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

If x is an integer number, we have 2,305 solutions.

What is meant by inequality?

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

Let the given data be 3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}

Let the inequality be -4 ≤ x ≤ 2,300

The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.

Here x exists a real number, then we contain infinite solutions.

If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)

the number zero (1)

We would have: 4 + 2,300 + 1 = 2,305 integer solutions.

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