Challenge 1
A: Can you find the
area of the shape?
B:Can you find the
perimeter of the shape?

Complete question is;

In a class of 40 students, 17 have ridden an airplane, 28 have ridden boat, 10 have ridden a train, 12 have ridden an airplane and a boat, 3 have ridden a train only, and 4 have ridden airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three. How many students have used all three modes of transportation?

Answer:

4 students

Step-by-step explanation:

Let the number of students who used airplane be A

Let the number of students who used boat be B

Let the number of students who used train be C

Now, we are told that 17 rode plane.

Thus; A = 17

28 rode boat; B = 28

10 rode train; C = 10

12 rode airplane and boat; A ∩ B = 12

4 rode plane only; A' = 4

3 rode boat only; C' = 3

Total number of students; T = 40

Now, total number of students is represented by;

T = A - B - C - (A ∩ B) - (B ∩ C) - (C ∩ A) + (A ∩ B ∩ C)

We don't have (B ∩ C) and (C ∩ A).

Now, the can be derived from the expression of C' which is;

C' = C - (B ∩ C) - (C ∩ A)

C' = C - [(B ∩ C) + (C ∩ A)]

We are given C' = 3 and C = 10

Thus;

3 = 10 - [(B ∩ C) + (C ∩ A)]

10 - 3 = [(B ∩ C) + (C ∩ A)]

7 = [(B ∩ C) + (C ∩ A)]

Rearranging the total number of students equation, we now have;

T = A - B - C - (A ∩ B) - [(B ∩ C) + (C ∩ A)] + (A ∩ B ∩ C)

Where;

(A ∩ B ∩ C) is the number of students that used all three modes of transportation.

Thus, plugging in the relevant values;

40 = 17 + 28 + 10 - 12 - 7 + (A ∩ B ∩ C)

40 = 36 + (A ∩ B ∩ C)

(A ∩ B ∩ C) = 40 - 36

(A ∩ B ∩ C) = 4

Answer and Explanation:

Solution:

Let x and y are independent, ariables.

The parameters of x and y are (n1, p) and (n2, p), respectively.

It means the sum of the independent binomial variable is itself a binomial random variable.

Consider probability of the event [ x = n1],

Denoted by: p(x=n1)

The function:

                   P(n1) = p(x = n1)

Over the possible value of x say, n1, n2, n3, …, is called frequency function.

The frequency function must satisfy.

∑I p (ni) = 1,

Where the sum is possible values of x.

Similarly,

Consider probability of the event [ y = n2],

Denoted by: p(y=n2)

The function:

P (n2) = p(y = n2)

Over the possible value of y say, n1, n2, n3, …, is called frequency function.

The frequency function completely describes the probabilistic nature of the random variable.

Answer:

1.5 > 1.25

Step-by-step explanation:

1.5 is smaller than 1.25

Answer: Maybe it is 2,4

Step-by-step explanation:

A fact family is a group of math facts using the same numbers. In the case of addition and subtraction, you use three numbers and get four facts.

For example, you can form a fact family using the three numbers 3, 10, and 13: 10 + 3 = 13, 3 + 10 = 13, 13 − 10 = 3, and 13 − 3 = 10.

Addition facts − Here the sum of two of the three given numbers is the remaining third number. This sum is expressed in two possible orders. Thus, there are two addition facts for any three given numbers

For 3, 10 and 13, the two addition facts are:

3 + 10 = 13;

10 + 3 = 13

Subtraction facts − Here the difference of two of the three given numbers is the remaining third number. There are two such differences. Thus, there are two subtraction facts for any three given numbers.

For 3, 10 and 13, the two subtraction facts are:

13 − 10 = 3;

13 − 3 = 10

We use fact families to reinforce the connection between addition and subtraction, and to help students learn and memorize the basic addition & subtraction facts.

Problem 1:

Make four related number sentences using each set of 3 numbers.

10, 7, 3:

There should be two additions and two subtractions.

Solution

10, 7, 3:

Step 1:

The addition facts using above three numbers are:

7 + 3 = 10;

3 + 7 = 10;

Step 2:

The subtraction facts using above three numbers are:

10 – 7 = 3;

10 – 3 = 7

Problem 2:

Make four related number sentences using each set of 3 numbers.

13, 8, 5

There should be two additions and two subtractions.

Solution

13, 8, 5

Step 1:

The addition facts using above three numbers are:

5 + 8 = 13;

8 + 5 = 13;

Step 2:

The subtraction facts using above three numbers are:

13 – 5 = 8;

13 − 8 = 5

Answer:solution

Step-by-step explanation:

An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.

A linear function is a function that has a positive relationship between its variables.

Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.

Mathematically, the graph of a linear function is a straight-line and its slope is always constant.

On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.

Generally, a system of linear equations in two variables must have at least two solution.

In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.

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Answer:

correct answer is D

Step-by-step explanation:

just did it on apex

The polynomial functions is graphed below is f(x) = (x+4)(x-2)²(x+3).

A polynomial function is a function in an equation that contains only   positive integer exponents or powers of a variable, such as the quadratic equation, cubic equation.

It is given that for the given graph plotted in the image , a correct polynomial function has to be determined .

When all the graphs are plotted for all the equations given in the options.

It can be seen that the equation in The Option D satisfies the image.

f(x) = (x+4)(x-2)²(x+3)

The image of the graph for the equation is attached.

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Answer:

I'm nauseous, I'm dyin'

(She ripped my heart right out)

Can't find her, someone to

(My eyes are all cried out)

Lost it, riots

Gunfire inside my head, I've

Lost it, riots

Gunfire inside my head  78tt566786876

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

just took this test

Answer:

Turn it by 90 degrees

Step-by-step explanation:

Question is too vague sorry if this doesn't help

Answer:

fernanda i have no idea how to do this

Step-by-step explanation:

Answer:

4*4=16 INCHES FOR THE SECOND PIECE. 5*4=20 INCHES FOR THE LONGEST PIECE.

Step-by-step explanation:

x = 20 inch, the length of the first piece

What is mathematical expression?

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

given,

Total length = 40 inch

let first piece be = x inch

second piece = 4 times of first piece = 4x inch

third piece = 5 times of first piece = 5x inch

So,

x + 4x + 5x = 200

10x = 200

x = 200/10

x = 20

Therefore, the length of the first piece is 20 inch

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Answer:

433.68

Step-by-step explanation:

Answer:

433.68

Good Luck!!!

Answer:

10per the other side of alloys

Answer:

x=12

Step-by-step explanation:

multiply 2 from both sides to isolate x

then u should end up with 1x=12

Answer:

76.95

Step-by-step explanation:

9.5X8/1(8.1 IS THE NUMBER YOU MULTIPLY IT BY)=76.95

Answer:

x=7.5 and x=-12.5

Step-by-step explanation:

|2x+5|-4=16

|2x+5|=20

2x+5=20

2x=15

x=7.5

2x+5=-20

2x=-25

x=-12.5

Answer:

6(8+x)

Step-by-step explanation:

Notice that the constant and the coefficient have a greatest common factor of 6. Therefore, we can just factor the 6 out to get 6(8+x).

Answer:

Step-by-step explanation:

[tex]48 + 6x\\\\\mathrm{Rewrite\:}48\mathrm{\:as\:}6\times\:8\\\\=6x+6\times\:8\\\\\mathrm{Factor\:out\:common\:term\:}6\\\\=6\left(x+8\right)[/tex]

Answer:

1. C points radially outward from origin

2. A. Points radially outward from z origin

3. D. Radially inwards toward origin

4. B. Inwards towards the z axis

Step-by-step explanation:

1.

X²+y²+z² = f(x,y,z)

Vector P<x,y,z>

2<x,y,z> = 2p

The answer is c points radially outward from origin

2.

X²+y² = f(x,y)

<2x,2y,0>

Points radially outward from z axis

3.

D. Points radially inwards toward origin

4.

B. Points radially inwards toward the z axis.

Please check attachment for solutions to answers 3 and 4

Answer:

Answer 30^{2}

Step-by-step explanation:

24^{2} + 18^ {2} = c^{2}

576 + 324 = c^{2}

\sqrt{900}  c^{2} = 30

hope this helps!

Answer:

2(6-4.05+8)

Step-by-step explanation:

2(6-48+43.05+8)

Answer:

about 130 marbles

Step-by-step explanation:

round 47 to 50

round 76 to 80

you have about 130 marbles

Answer:

About 100.

Step-by-step explanation:

47+76=123

123 is closer to 100 than to 200.

Answer:

Yes

Step-by-step explanation:

The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.

Hope this helps. Please mark brainliest.

Answer:

x is 131°.

Step-by-step explanation:

Don't really know how to explain it. but I know that is what the measurement is.

Answer: 23+x=6

-23 -23

1x/1 -17/1

x=-17

Step-by-step explanation:

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

 -6*x-(23)=0  

Step by step explanation :

Pulling out like terms

Pull out like factors :

-6x - 23  =   -1 • (6x + 23)  

Solving a Single Variable Equation:

2.1      Solve  :    -6x-23 = 0  

Add  23  to both sides of the equation :  

                     -6x = 23

Multiply both sides of the equation by (-1) :  6x = -23

Divide both sides of the equation by 6:

                    x = -23/6 = -3.833

Therfor the answer is : x = -23/6 = -3.833

Answer:

B:y=-40x+160. hello, just typing to take up space

Answer:

The answer is 2508

Step-by-step explanation:

Answer:

[tex] e = 13\sqrt{2} [/tex]

[tex] f = 13\sqrt{2} [/tex]

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

[tex] sin(\theta) = \frac{opp}{hyp} [/tex]

[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]

hyp = 26

opp = e = ?

Plug in the values into the formula

[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]

Multiply both sides by 26

[tex] \frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26 [/tex]

[tex] \frac{\sqrt{2}}{2}*26 = e [/tex]

[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]

[tex] 13\sqrt{2} = e [/tex]

[tex] e = 13\sqrt{2} [/tex]

Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]

Answer:

14

Step-by-step explanation:

because they are just reflected  that's why 12 and 8 are flipped and have a great day

Step-by-step explanation:

1.False

2.True

3.True

4.False

Answer:

First table's unit rate is -1.6

Second table's unit rate is  3.5

Step-by-step explanation:

First table:

[tex]\Delta y/\Delta x =(-16--8)/(10-5)= -8/5[/tex]

and this is constant for any pair of (x, y) values of the table.

So the unit rate is: -8/5 = -1.6

Second table:

[tex]\Delta y/\Delta x =(21-7)/(6-2)=14/4=7/2[/tex]

and the rate is constant for any pair of (x, y) values of the table.

So the unit rate is: 7/2 = 3.5

Answer:

Morgan can read [tex]\frac{3}{4}[/tex] of a page in 1 minute.

Step-by-step explanation:

If you divide 45 ÷ 60 you get 0.75 which is equal to [tex]\frac{3}{4}[/tex].

Morgan can read 0.75 pages in 1 minute.

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

To find out how many pages Morgan can read in 1 minute, we divide the total number of pages she read by the time it took her to read them. This gives us the average number of pages she read per minute.

In this case, Morgan read 45 pages in 60 minutes. So, we divide 45 pages by 60 minutes:

45 pages ÷ 60 minutes = 0.75 pages per minute

This means that on average, Morgan can read 0.75 pages in 1 minute.

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Answer:

Jessica's Earning's at the end of the week

Step-by-step explanation:

If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica.

In the expression the first term represents "The number of crates of bananas Monte sold". So option D is correct.

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be subtraction, multiplication, addition,  division.

For example, 2x+3

The expression given for Monte's earnings is 4y - 15.

In this expression, the first term is 4y.

This term represents the amount of money Monte earns per crate of bananas he sells.

Therefore, the first term represents the rate of pay for Monte's earnings, which is $4 per crate.

So, the answer is: The first term represents the amount of money Monte earns per crate of bananas he sells.

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