2. If a perfect die is cast, what is probability of obtaining a 5?
A. 1/6
2. 9/20
C. 9/11
D. 7/10
-​

Answer:

Shape - Cube

Area= 864

Step-by-step explanation:

The shape folds to become a cube and all the edges are the same size.

Area of a cube is Length * Width * Height = Area

12*12*12= 864

Answer:

Shape - Cube

Area= 864

Step-by-step explanation:

The shape folds to become a cube and all the edges are the same size.

Area of a cube is Length * Width * Height = Area

12*12*12= 864

Answer:

Step-by-step explanation:

The given equation is expressed as

(x + 1)/(x - 1) - (x - 1)/(x + 1) = 7/12

Simplifying the right hand side of the equation, it becomes

[(x + 1)(x + 1) - (x - 1)(x - 1)]/(x - 1)(x + 1)

x² + x + x + 1 - (x² - 2x + 1)/(x - 1)(x + 1)

(x² + 2x + 1 - x² + 2x - 1)/(x - 1)(x + 1)

4x/(x - 1)(x + 1)

Therefore,

4x/(x - 1)(x + 1) = 7/12

Cross multiplying, it becomes

4x × 12 = 7(x - 1)(x + 1)

48x = 7(x² + x - x - 1)

48x = 7x² - 7

7x² - 48x - 7 = 0

Applying the quadratic formula,

x = - b ± √(b² - 4ac)]/2a

from our equation,

b = - 48

a = 7

c = - 7

Therefore

x = [- - 48 ± √(- 48² - 4(7 × - 7)]/2 × 7)

x = [48 ± √(2304 + 196]/14

x = (48 ± √2500)/14

x = (48 ± 50)/14

x = (48 + 50)/14 or x = (48 - 50)/14

x = 98/14 or x = - 2/14

x = 7 or x = - 1/7

Answer: The given equation is expressed as (x + 1)/(x - 1) - (x - 1)/(x + 1) = 7/12Simplifying the right hand side of the equation, it becomes[(x + 1)(x + 1) - (x - 1)(x - 1)]/(x - 1)(x + 1)x² + x + x + 1 - (x² - 2x + 1)/(x - 1)(x + 1)(x² + 2x + 1 - x² + 2x - 1)/(x - 1)(x + 1)4x/(x - 1)(x + 1)Therefore, 4x/(x - 1)(x + 1) = 7/12Cross multiplying, it becomes4x × 12 = 7(x - 1)(x + 1)48x = 7(x² + x - x - 1)48x = 7x² - 77x² - 48x - 7 = 0Applying the quadratic formula,x = - b ± √(b² - 4ac)]/2a from our equation, b = - 48a = 7c = - 7Thereforex = [- - 48 ± √(- 48² - 4(7 × - 7)]/2 × 7)x = [48 ± √(2304 + 196]/14x = (48 ± √2500)/14x = (48 ± 50)/14x = (48 + 50)/14 or x = (48 - 50)/14x = 98/14 or x = - 2/14x = 7 or x = - 1/7

Step-by-step explanation:

Answer:

The answer is option D

Step-by-step explanation:

32m + 56mp

First factor out the HCF out

The HCF of 32and 56 is 8

So we have

8 ( 4m + 7mp)

next factor m out

We have the final answer as

Hope this helps you

Answer: while solving an equation involving fractions we eliminate the fraction by multiplying the LCD of all the denominators present in the equation . LCD means Least common Denominator so for this question when we try to eliminate the denominator we first try to find the LCM (2,4,6) because that will give us the LCD.

2=2

4=2·2

6=2·3

LCM = 2·2·3

LCM = 12

It means we need to multiply the 12 to each term of equation to eliminate the fractions before solving.

12

To eliminate the fractions, multiply the equation by the 12

A equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

[tex]x-\frac{5}{4}+2x=\frac{5}{6}+x[/tex]

To eliminate the fractions, multiply by the L.C.M of the denominator of the fraction i.e. 12 to get:

12x - 15 + 24x = 10 + 12x

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

[tex] C = 28.9 [/tex]

Step-by-step explanation:

Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.

Apply the trigonometric ratio formula to find m < C.

Adjacent side = 7

Hypotenuse = 8

Trigonometric ratio formula to apply would be:

[tex] cos(C) = \frac{7}{8} [/tex]

[tex] cos(C) = 0.875 [/tex]

[tex] C = cos^{-1}(0.875) [/tex]

[tex] C = 28.9 [/tex]

(To nearest tenth)

Answer:

B. The student incorrectly calculated the scale factor to be –2

Step-by-step explanation:

Given that :

After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y).

The student determined y to be -2

If a figure dilated with a center of (0, 0) and scale factor k, then

(x , y) → (kx , ky)

(4, -6) → (12, y)

[tex]k = \dfrac{x'}{x}[/tex]

[tex]k = \dfrac{12}{4}[/tex]

k = 3

Thus; the scale factor is 3

Now; the y-coordinate can now be calculated as;

ky = (3 × -6)

ky = -18

Therefore; the value of y = -18 and the student incorrectly calculated the scale factor to be -2.

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

I would say the answer is C.

Answer:

(g + f) (x) = (2^x + x – 3)^1/2

Step-by-step explanation:

The following data were obtained from the question:

f(x) = 2^x/2

g(x) = √(x – 3)

(g + f) (x) =..?

(g + f) (x) can be obtained as follow:

(g + f) (x) = √(x – 3) + 2^x/2

(g + f) (x) = (x – 3)^1/2 + 2^x/2

(g + f) (x) = (x – 3)^1/2 + (2^x)^1/2

(g + f) (x) = (x – 3 + 2^x)^1/2

Rearrange

(g + f) (x) = (2^x + x – 3)^1/2

Answer:

45

Step-by-step explanation:

Given the legs of the right triangle.

Then using Pythagoras' identity

The square oh the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 36² + 27² = 1296 + 729 = 2025 ( take the square root of both sides )

h = [tex]\sqrt{2025}[/tex] = 45

Answer:

45

Step-by-step explanation:

When you are given the opposite and adjacent sides of a triangle, the easiest way to find the hypotenuse is through the Pythagorean theorem!

The formula is a^2 + b^2= c^2

Plugging in the values, your formula would now look like 36^2 + 27^2= c^2

Once you do square your values and add them up, the result would end up being 2025, but since that is squared, to find the actual value of c you have to take the square root of this number, this will result in 45.

Let d equal the final amount it depreciates.

Let m equal the number of months.

Since d is the final amount, we put this at the very end of the equation.

Since it depreciates $25 every month, this number is going to be subtracted from the total price of the tablet ($650).

The final equation comes out too: d = 650 - 25m

Best of Luck!

Answer:

d. 20

Step-by-step explanation:

To answer the question given, we will follow the steps below:

we need to first find p(3)

p(x) = x+ 7/ x-1

we will replace all x by 3 in the equation above

p(3) = 3+7 / 3-1

p(3) = 10/2

p(3) = 5

Similarly to find q(2)

q (x) = x^2 + x - 2,

we will replace x by 2 in the equation above

q (2) = 2^2 + 2 - 2

q (2) = 4 + 0

q (2) = 4

The product of p(3) and q(2)   =   5 × 4   = 20

Answer:

Step-by-step explanation:

Use F.O.I.L

F - First

O- Outside

I- Inside

L- Last

First multiply the ds from both to get [tex]d^{2}[/tex], next multiply the first d and the -4 and get -4d, then the 8 and the second d = 8d, and finally the 8 and -4 to get -32

you get [tex]d^{2}[/tex]-4d + 8d - 32

Answer:

3

Step-by-step explanation:

the line crosses the y-axis at (0,3)

Answer:

3

Step-by-step explanation:

The y intercept is where the graph crosses the y axis  ( where x =0)

The lines crosses at y=3

Y intercept is 3

Answer:

11.7

Step-by-step explanation:

Let H be the heipotenys of the big triangle:

H= 28.04

Let's calculate the third side using the pythagorian theorem:

H²= 26²+ d²(the third side)

d² = 28.04²-26²= 110.24

d= 10.49

let's calculate x now

x= 11.65 ≈ 11.7

Answer:

Width = [tex] \frac{7}{2} ft[/tex]

Step-by-step explanation:

Given,

Area of rectangle = [tex]42 \: {ft}^{2} [/tex]

Width = X

Length = 2x + 5

Now,

[tex]x(2x + 5) = 42[/tex]

[tex]2 {x}^{2} + 5x = 42[/tex]

[tex]2 {x}^{2} + 5x - 42 = 0[/tex]

[tex]2 {x}^{2} + 12x - 7x - 42 = 0[/tex]

[tex]2x(x + 6) - 7(x + 6) = 0[/tex]

[tex](2x - 7)(x + 6) = 0[/tex]

Either

[tex]2x - 7 = 0[/tex]

[tex]2x = 0 + 7[/tex]

[tex]2x = 7[/tex]

[tex]x = \frac{7}{2} [/tex]

Or,

[tex]x + 6 = 0[/tex]

[tex]x = 0 - 6[/tex]

[tex]x = - 6[/tex]

Negative value can't be taken.

So, width = [tex] \frac{7}{2} ft[/tex]

Again,

Finding the value of length,

Length = [tex]2x + 5[/tex]

[tex]2 \times \frac{7}{2} + 5[/tex]

[tex]7 + 5[/tex]

[tex]12[/tex]

Length = 12 ft

Answer:

length = 12 ft, width = 3.5 ft

Step-by-step explanation:

w = width

l = length = 2w + 5

A = wl = w(2w + 5) = 42

2w² + 5w - 42 = 0

(w + 6)(2w - 7) = 0

w + 6 = 0, w = -6 (dimension cannot be negative)

2w - 7 = 0, w = 3.5

l = 2(3.5) + 5 = 12

Answer:

b) P(more than 10) = 2/9

c) P(less than 7) = 2/9

Step-by-step explanation:

a) Yaniq spins both spinners and then adds up the results together.

The results are as follow:

5

7

9

6

8

10

7

9

10

These are a total of 9 outcomes.

b) What is the probability that Yaniq gets a total of more than 9?

The probability is given by

P = Number of favorable outcomes/Total number of outcomes

For this case, the favorable outcomes are all those outcomes where the total score is more than 9.

Count the number of times Yaniq got a score of more than 9.

Yes right!

2 times (10 and 10)

P(more than 10) = 2/9

c) What is the probability that Yaniq gets a total of less than 7?

For this case, the favorable outcomes are all those outcomes where the total score is less than 7.

Count the number of times Yaniq got a score of less than 7.

Yes right!

2 times (5 and 6)

P(less than 7) = 2/9

Answer:

x = -2 and y = 3

Step-by-step explanation:

In linear combination method we try one of the variables from bopth of equations by

first making the variable equal in vlaue

then either subtracting or adding the two equation as required to eliminate the variable.

_____________________________________________

7x-2y=-20   equation 1

and 9x+4y=-6   equation 2

we see that y has

has value -2 and +4

4 = 2*2

thus, if we multiply equation1 with 2 we will give value for variable y as 4y and hence y can be eliminated easily.

7x-2y=-20  

multiplying the LHS and RHS with 2

2(7x-2y)=-20 *2

=> 14x - 4y = -40   eqaution 3

now that we have got 4y

lets add equation 2 and equation 3

  9x +4y=   -6

+14x - 4y = -40

________________________________

=> 23x + 0 =  -46

x = -46/23 = -2

Thus, x = -2

substituitinng x = -2 in 7x-2y=-20

7*-2 -2y=-20

=> -14 -2y = -20

=> -2y = -20+14 = -6

=> y = -6/-2 = 3

Thus, y = 3

solution is x = -2 and y = 3

Complete question:

The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains 70% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 70% pure fruit juice?

Answer:

Juice A = 15

Juice B = 35

Step-by-step explanation:

Given the following:

Juice A:

Let juice A = a

35% pure fruit juice

Juice B:

Let juice B = b

85% pure fruit juice

We need to make 50 pints of juice from both: that is ;

a + b = 50 -------(1)

In terms of pure fruit:

a = 0.35 ; b = 0.85 ;

Our mixed fruit juice from a and b should be 70% pure fruit = 0.7

Mathematically,

0.35a + 0.85b = 50(0.7)

0.35a + 0.85b = 35 -------(2)

Multiply (2) by 100

35a + 85b = 3500 --------(3)

We can then solve the simultaneous equation:

a + b = 50 -------(1)

35a + 85b = 3500 --------(3)

Multiply (1) by 35

35a + 35b = 1750 -----(4)

35a + 85b = 3500 ---(5)

Subtract (5) from (4)

-50b = -1750

b = 35

Substitute b = 35 into (2)

0.35a + 0.85(35) = 35

0.35a + 29.75 = 35

0.35a = 35 -29.75

0.35a = 5.25

a = 5.25/0.35

a = 15

Juice A = 15

Juice B = 35

Answer:

2.5 m/s^2

Step-by-step explanation:

Answer:

2.5 m/s²

Step-by-step explanation:

First, convert to SI units.

90 km/h × (1000 m/km) × (1 h / 3600 s) = 25 m/s

a = Δv / Δt

a = (25 m/s − 0 m/s) / 10 s

a = 2.5 m/s²

Answer:

This is simple! (Kind of)

Step-by-step explanation:

First, notice how HJ is tangent. HG is a radius intersecting HJ at H.

This means, (According to some theorem that I forgot the name of) that GHJ is a right angle.

Thus, we can use the 180* in a triangle theorem.

[tex]180=90+54+6x+6[/tex]

So, let's solve!

[tex]30=6x\\5=x[/tex]

So, there you go! Nice and simple!

Hope this helps!

Stay Safe!

Step-by-step explanation:

hope it helps yoy..........

Answer:

14.42 units

Step-by-step explanation:

Assuming that this is a right triangle (i.e ∠ACB = 90°), we can use the Pythagorean formula to solve this:

AB² = AC² + BC²

AB² = 12² + 8²

AB = √(12² + 8²)

AB = 14.42 units

Answer:

77 bags

Step-by-step explanation:

if he brought 49 bags then he brought 28 more bags49+28=77

Answer: 1/5 , 1/2, and 5/6

Step-by-step explanation:

given;

probability that the cube shows a three (3) or five (5).

probability that it stops on yellow.

1. the probability p of the spinner stopping on yello  

= 1/5 times

a cube has 6 sides

2. probability that it shows a 3

this is going to be 3 divided by the total sides on the cube which is 6

P = ( 3 ) = 3/6

Divide both side by 3

= 1/2.

3. probability that it shows a 5,

this is going to be 5 divided by the total sides on the cube which is 6

P = ( 5 )

  = 5/6.

Answer:

140/221.

Step-by-step explanation:

For the triangle containing  angle α:

The adjacent side is -√(13^2-5^2) = -12.

For the triangle containing angle β:

Hypotenuse = √(-8)^2 + (15)^2) =  17.

cos(α - β) = cos α  cos β   + sin α   sin β

= ((-12/13) * (-15/17) + (-5/13)* (8/17)

= 180/221 + - 40/221

= 140/221.

Answer:

15w - 10x + 30.

Step-by-step explanation:

-5(2x - 3w - 6)

= (-5 * 2x) + (-5 * -3w) + (-5 * -6)

= -10x + 15w + 30

= 15w - 10x + 30.

Hope this helps!

Answer:

Step-by-step explanation:

[tex] - 5(2x - 3w - 6)[/tex]

Multiply each term in the parentheses by -5

[tex] - 5 \times 2x - 5 \times ( - 3w) - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x - 5 \times ( - 3x) - 5 \times ( - 6)[/tex]

Multiplying two negatives equals a positive [tex]( - ) \times ( - ) = ( + )[/tex]

[tex] - 10x + 5 \times 3w - 5 \times ( - 6)[/tex]

Calculate the product

[tex] - 10x + 15w - 5 \times ( - 6)[/tex]

Multiply the numbers

[tex] - 10x + 15w + 30[/tex]

Hope this helps..

Best regards!!

Answer:

Option A 25 ft is the correct answer.

Step-by-step explanation:

Given that:

One square corral at a stable has an area 625 [tex]ft^2[/tex].

And one side corral is along a barn.

To find:

How much of a barn's wall is used for the edge of corral?

Solution:

First of all, kindly refer to the attached figure to have a better understanding of the given dimensions and situation.

Given that Corral is square shape with Area, A = 625 [tex]ft^2[/tex]

Formula for area of a square is given as:

[tex]A = Edge^2[/tex]

Putting the value of A as given to find the Edge:

[tex]625 = Edge^2\\\Rightarrow Edge^2 =25 \times 25\\\Rightarrow Edge = 25\ ft[/tex]

It is given that one side of Corral is along a barn.

So, barn's wall used for the edge of corral = 25 ft

Option A 25 ft is the correct answer.

Answer: A 25ft I did it on edge and got it correct and please do as brainlest and have a good day.

Answer:

2m  

4

−2m  

3

−26m  

2

−23m+20

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

The slope of the line can be found by

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

    = ( 7-8)/(5-2)

    = -1/3

Answer:

-1/3.

Step-by-step explanation:

The slope can be found by doing the rise over the run.

In this case, the rise is 8 - 7 = 1.

The run is 2 - 5 = -3.

So, the slope is 1 / -3 = -1/3.

Hope this helps!

Answer:

All the points change, there are no invariant points

Step-by-step explanation:

The given parameters are

To translate the square OABC by the vector  [tex]\dbinom{1}{3}[/tex], we have;

The coordinates of the point O is (0, 0)

The coordinates of the point A is (3, 0)

The coordinates of the point B is (3, 3)

The coordinates of the point C is (0. 3)

The translation is by moving 1 step right and three steps up to give;

O' is (0+1, 0+3) which is (1, 3)

A' is (3+1, 0+3) which is (4, 3)

B' is (3+1, 3+3) which gives (4, 6)

C' is (0+1, 3+3) which gives (1, 6)

As all the points change, there are no invariant points and the number of invariant points is zero.