Find the value of x​

The probability that cards are from different suits is [tex]\frac{39}{51}[/tex]

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

There are 4 suits hearts, diamonds, club and spade in a standard deck of 52 cards.

Each of them has 13 cards each .

So when we pick first card from a single suit

we can pick it in 13 ways , now 12 cards are left.

We can pick the 2nd card from the same suit in 12 different ways .

So to pick 2 cards from a single suit we have 13x12 ways.

to pick 2 card from 4 suits = 4x13x12=624 ways

Total ways of choosing 2 cards from the pack of 52 cards is 52 X 51 =2652

probability that the cards are of same suits=[tex]\frac{624}{2652} =\frac{12}{51}[/tex]

probability that the cards are of different suits=[tex]1-\frac{12}{51} =\frac{39}{51}[/tex]

Learn more about Probability here https://brainly.com/question/15263908

#SPJ4

Answer:

5089.4cm³ (rounded to 1 d.p.)

Step-by-step explanation:

Volume of cylinder = [tex]\pi[/tex] × r² × h

Volume of cylinder = [tex]\pi[/tex] × 9² × 20

                                = 1620[tex]\pi[/tex]

                                = 5089.4cm³ (rounded to 1 d.p.)

Answer:

1

Step-by-step explanation:

x^5 when x = -1 will be -1 because -1^5 = -1

-1 * -9 will equal 9

1/3^2 = 1/9

1/9*9 = 1

Answer:1

Step-by-step explanation:

Step-by-step explanation:

cross product. Ise the butrerfly or cross and bones method. Multiply -4 and 49. Put that in the numerator. Then multiply 7 and 16. Put that in the denominator. Then reduce if u can.

Answer:

[tex]2^{21}[/tex]

Step-by-step explanation:

[tex](a^{m} )^{n}[/tex] = [tex]a^{mn}[/tex]

[tex](2^{7})^{3}[/tex] = [tex]2^{21}[/tex]

Answer: 128^3 or 2097152

Step-by-step explanation: maybe mark me brainliest? your choice! have a good day

Answer:

180psi

Step-by-step explanation:

Step one:

given data

P1= 900 psi

T1= 350°C

P2=?

T2=70°C

Required

The final pressure P2

Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up

Applying the expression

P1/T1= P2/T2

substitute:

900/350= P2/70

2.57=P2/70

cross multiply

P2= 2.57*70

P2=180psi

The two latches make known the fact that this is an isosceles triangle. Here, x is the base angle. There are two base angles in isosceles triangles. Base angles have the same measure. This explains the reason for 2x in the equation below.

Here is the set up:

x + x + 32 = 180

2x + 32 = 180

2x = 180 - 32

2x = 148

x = 148/2

x = 74

The value of x is 74 degrees.

Answer:

87.5 inches long

Step-by-step explanation:

250 x 0.35 = 87.5

Answer:262.5

Step-by-step explanation:

all i did was just subtract 35% from 250 and it is 262.5in

hope this helps

Answer:

A

Step-by-step explanation:

I hope this is correct and have a great day

Answer:

Answer the first choice.

Step-by-step explanation:

Given

Points (-2,6) and (0,2)

y2 = 6

y1 = 2

x2 = - 2

x1 =0

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

Solution

m = (6 - 2)/(-2 - 0)

m = 4 / - 2                 <<<< ===== Answer..

m = - 2

Remark

If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.

Answer:

I belive it is 'A'  9

Step-by-step explanation:

because the square root is 8.66025404 so that rounded to the nearest integer would be 9

Answer:

9 is the answer.

Step-by-step explanation:

( -89)/(-9)

When (-) I'd divided by (-) it changes into (+)

Soo, the answer is 9

Answer:

A

Step-by-step explanation:

the answer is option A as

6x + 12x = 90

so 6x + 12x + 90 = 90 + 90 + 180

Answer:

x = 18/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 2 = 20

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 20 does indeed equal 20.

∴ x = 18/5 is a solution to the equation.

Answer: 2.52Hg

Step-by-step explanation:

First and foremost, we should realize that:

1 moles Mercury = 200.59 gram

Therefore, the number of moles of mercury, Hg is in a sample of 505 grams would be calculated as:

= 505/200.59

= 2.52

The value of X for carlon evaporate is 36. 

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

A linear equation is an algebraic equation of the form y=mx+b involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Given that

Total amount of solution = 90          

total amount of salt = 15 % of 90

                                             = [tex]90 \times \frac{15}{100}[/tex]

                                             = 13.5        

Now removed X from the solution

Then, remaining solution is 90 - X

Percentage of salt in the remaining solution [tex]= \frac{salt}{remaining solution}[/tex]

Given that , % of salt in the remaining solution is equal to 25% then, Percentage of salt in the remaining solution

⇒ [tex]\frac{salt}{remaining solution}[/tex] = 25%

⇒ [tex]\frac{13.5}{90 - X} = \frac{25}{100}[/tex]

⇒1350 = 2250 - 25 x

⇒ 25 x =  2250 - 1350            

⇒ 25 x =  900          

⇒ x = [tex]\frac{900}{25}[/tex]          

⇒ x =36

Learn more about percentage problems here: brainly.com/question/28269290

SPJ4

Answer:

7x - 8y

Step-by-step explanation:

Lol is this delta math

The fraction is [tex]\frac{3}{5}[/tex]

Let's take the fraction as [tex]\frac{a}{b}[/tex]

According to the first statement,

If we add 1 to the numerator and subtract 1 from the denominator a fraction reduces to 1.

[tex]\frac{a + 1}{b - 1}[/tex] = 1

a + 1 = b -1

a + 2 = b

b = a + 2........(1)

According to the second statement

If we only add 1 to the denominators, it becomes 1/2.

[tex]\frac{a}{b+1}[/tex] = 1/2

2a = b + 1

b = 2z -1 .........(2)

Equating both the equation (1) and (2)

2a - 1 = a + 2

2a - a = 2 + 1

a = 3

Now substitute the value of a in equation (1)

b = 3 + 2

  = 5

Therefore the fraction is [tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex]

To know more about the Fraction refer to the link given below:

https://brainly.com/question/20880909

#SPJ4

The equation of the straight line is y = 2x + 6.

An equation of a line is a mathematical expression that describes the relationship between the x and y coordinates of the points on the line. There are several different forms of the equation of a line, but the most commonly used is the slope-intercept form:

y = mx + b

where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.

We have,

To find the equation of the straight line passing through the points (-3, 0) and (0, 6), we can use the slope-intercept form of a linear equation, which is:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We can first find the slope of the line using the formula:

[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]

[tex]where ~(x_1, y_1) = (-3, 0) ~and ~(x_2, y_2) = (0, 6):[/tex]

So,

m = (6 - 0) / (0 - (-3)) = 6/3 = 2

Now we can substitute the slope and one of the points into the slope-intercept form to find the y-intercept:

y = mx + c

0 = 2(-3) + c

0 = -6 + c

c = 6

Therefore,

The equation of the straight line is y = 2x + 6.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Answer:

1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(2x - 2y)/x

x = -4

y = -3

Step 2: Evaluate

Answer:

The equations are;

4(2x + 5) = 3(2x + 8)

x = 2

Perimeter of each shape is 36

Step-by-step explanation:

Mathematically;

The perimeter of a square is 4L

while the perimeter of an equilateral triangle is 3L

where L represents the lengths of the sides

Mathematically, from what we have in the question, since the perimeter are equal;

4(2x + 5) = 3(2x + 8)

8x + 20 = 6x + 24

8x-6x = 24-20

2x = 4

x = 4/2

x = 2

The side of the square will measure;

2(2) + 5 = 9

Its perimeter is 4(9) = 36

The side of the triangle will measure

2(2) + 8 = 12

Its perimeter will be 3(12) = 36

Answer:

the answer would be the one with 25x+1,852=2,972

Step-by-step explanation:

please mark brainliest

Answer:

J

Step-by-step explanation:

Theres no explanation. I just did it in my head and none of the other answers made sense so its gotta be J :')

Answer:

49.6 minutes to create 308 bolts

Step-by-step explanation:

hope this helps :)

Answer:

Im guessing 4

Step-by-step explanation:

or if the number is 2 the answer is 6

[tex]Answer:\ S=96\sqrt[4]{x^9}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\(4x)^\frac{3}{2}=\\\\ (2^2x)^\frac{3}{2} =\\\(2^2)^\frac{3}{2} x^\frac{3}{2} =\\\\2^\frac{2*3}{2} x^\frac{3}{2} \\\\2^3x^\frac{3}{2}=\\\\8x^\frac{3}{2}[/tex]

Thus,

[tex]S=8x^\frac{3}{2} *12x^\frac{3}{4}\\\\ S=8*12x^{\frac{3}{2} +\frac{3}{4}} \\\\S=96x^\frac{3*2+3}{4} \\\\S=96x^\frac{6+3}{4} \\\\S=96x^\frac{9}{4} \\\\S=96\sqrt[4]{x^9}[/tex]

Answer:

$3867.80

Step-by-step explanation:

f(x)=a(1+r)^{x}

f(x)=exponential growth function

a=initial amount

r=growth rate

{x}=number of time intervals

so let x=years

start amount is 1,500

1,500(1+r)^5=2100

(r+1)^5= 7 /5

((r+1)5) ^1 /5 =( 7 /5 ) ^1 /5

r=0.06961

which is rounded 7 percent growth rate

2024-2010=14 years

1,500(1+0.07)^{14}=

3867.801225

Now round cause it's money

$3867.80

Answer:

straight line that passes through the origin

Step-by-step explanation:

Two variables are said to have a direct variation or proportional relationship if it can be represented by y = kx, where k is a constant.

Comparing this with the equation of a straight line y = mx + b, where m is the slope of the line and b is the y intercept (value of y when x = 0), We can tell if the say that the graph of a direct variation or proportional relationship is a straight line with no y intercept (b = 0, that is it passes through the origin).

Answer:

A. 8i

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

Step 1: Define

√-64

Step 2: Evaluate