What is the probability of choosing an ace from a standard deck of 52 playing ?

Step-by-step explanation:

Given equation is 4/(s-3) + (s/2) = -2

=> [(4×2)+s(s-3)]/2(s-3) = -2

=> (8+s²-3s)/(2s-6) = -2

=> 8+s²-3s = -2(2s-6)

=> 8+s²-3s = -4s+12

=> s²-3s+8+4s-12 = 0

=> s²+s-4 = 0

The standard form is s²+s-4 = 0

Answer: Choice B

y = 7/x

inverse variation

=========================================================

Explanation:

We divide both sides by x to isolate y. That's how we go from xy = 7 to y = 7/x

This is an inverse variation because it's in the form y = k/x. The constant is k = 7.

Answer:

D) x^2 + 8x - 33

Step-by-step explanation:

I took the quiz and got a 100%

Answer:

[tex] \frac{2 {a}^{2} }{3 {b}^{3} } \div \frac{6 {a}^{3} }{5 {b}^{2} } = \frac{2 {a}^{2} }{3 {b}^{3} } \times \frac{5 {b}^{2} }{6 {a}^{3} } = \frac{5}{9ab} \\ \\ \frac{ {x}^{2} - 5x + 6}{ {x}^{2} - 6x + 9} + \frac{4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - 5x + 6 + 4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - x - 6}{{x}^{2} - 6x + 9} \\ = \frac{(x - 3)(x + 2)}{(x - 3)(x - 3)} \\ = \frac{(x + 2)}{(x - 3)} \\ \\ \frac{3a}{a - b} - \frac{a + 2b}{a - b} \\ = \frac{3a - a + 2b}{a - b} \\ = \frac{2a - 2b}{a - b} \\ = 2\frac{a - b}{a - b} \\ = 2[/tex]

Answer:

x = -5/7

Step-by-step explanation:

Answer:

what expressions

Step-by-step explanation:

Answer:

Step-by-step explanation:

First expand the expression so you know the coefficients of x and y.

4(2x+y+2y) = 4(2x+3y) = 8x+12y

8x+12y  =  8x+12y

6x+7y  ≠  6x+12y

8x+y+2y  = 8x + 3y ≠  8x+12y

8x+4y+8y = 8x+12y = 8x+12y

hope this help

Answer:

4.4

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

9 + 18 = 27

9 x 2 = 18

Answer:

y = -1/2x + b  meaning f(x) = -1/2x + b

Step-by-step explanation:

Use two points on the graph that you can find the value of  or use Slope = raise/run

let use points (2,0) and (0, 1)

slope = (change in the y-value)/(change in the x-value.

slope = (1 - 0)/(0 - 2)

slope = 1/-2 or -1/2

Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.

slope = raise/run

slope =  1/-2 or -1/2

Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .

y= mx + b

0 = -1/2(2) + b

0 = -1 + b

1 = b

Now write your equation: y = mx +b where m = -1/2 and b = 1

y = -1/2x +b

Answer:

<BAC=100°

Step-by-step explanation:

<ACB = <DCE - vertical angles are congruent

<ACB = 45° - substitute <DCE = 45° <ACB = <DCE

<ABC + <ACB + <BAC = 180° - angle sum theorem

35° + 45° + <BAC = 180° - substitute <ABC = 35°, <ACB = 45° INTO <ABC + <ACB + <BAC = 180 °

35°+ 45° + <BAC = 180°

180° - 80° = 100

Answer:

A , D , E

Step-by-step explanation:

Substitute x = 2 into f(x) and check if the result is 4

(a)

f(2) = 2² = 4 ← then f(2) = 4

(b)

f(2) = 2 + 6 = 8 ≠ 4

(c)

f(2) = 4(2) + 2 = 8 + 2 = 10 ≠ 4

(d)

f(2) = 2² = 4 ← then f(2) = 4

(e)

f(2) = 8(2) - 12 = 16 - 12 = 4 ← then f(2) = 4

The relationship between the cost charged for the daily boarding of dogs

by the kennel is a directly proportional relationship.

The correct responses are;

1. The dog kennel charges $60 per day is; False

Correct statement; The dog kennel charges $30 per day

2. The equation y = 30·x can represent the graph; True

3. It costs $200 to board a dog for 7 days is; False

Correct statement; It costs $210 to board a dog for 7 days

4.The graph will contain the coordinate point (9, 270); True

Reasons:

Points on the graph of the given graph of the Cost to Number of days are;

(2, 60), (4, 120)

The slope of the graph is [tex]m = \dfrac{120 - 60}{4 - 2} = 30[/tex]

Equation of the graph is therefore; y - 60 = 30·(x - 2)

Which gives;

y  = 30·x - 2×30 + 60 = 30·x

The equation of the graph is; y = 30·x

Therefore, the statement;

The cost of the dog kennel a day is given by the value of 'y', when x = 1, as

follows;

Cost per day, y = 30 × 1 = 30

The cost per day = $30 per day

Therefore;

The correct statement is; The dog kennel charges $30 per day

The amount it costs to board a dog for 7 days is y = $30×7 = $210

Therefore, the correct statement is; It costs $210 to board a dog for 7 days

Therefore, the statement; the graph will contain the coordinate point (9, 270) is; True

Learn more here:

https://brainly.com/question/5281177

Answer:

1

Step-by-step explanation:

[tex] {3}^{2} \div 9 = \\ =(3 \times 3) \div 9 \\ = 9 \div 9 \\ = 1 [/tex]

Moga Membantu ^-^

Answer:

The solution is 1

Step-by-step explanation:

3²÷9

= 9÷9

= 1

[tex](5^{4} *\frac{1}{b^{10} }) ^{-6}[/tex]

[tex](\frac{5^{4} }{b^{10} } )^{-6}[/tex]

[tex]\frac{b^{60} }{5^{24} }[/tex]

Answer:

P = 5M + 10

Step-by-step explanation:

15 pages/month * M months + 10 pages = P pages

5 Months = 5*15 + 10 = 85 pages

Answer:

The factors of a^2b is a×a×b.

Answer:

2.8in^2

Step-by-step explanation:

3.2 * 0.875 = 2.8

Hello there!

To find the area of this rectangle, we must multiply the length times the width:

A=[tex]3\frac{1}{5} *\frac{7}{8}[/tex]

Let's convert the mixed number into an improper fraction:

[tex]\frac{16}{5} *\frac{7}{8}[/tex]

Do you see what I see?

16 and 8 can be reduced. Divide by 8:

[tex]\frac{2}{5} *\frac{7}{1}[/tex]

Now multiply:

[tex]\frac{14}{5} \\[/tex]

Hope it helps you!

#HaveAnAmazingDay

~Just a joyful teen

[tex]GraceRosalia :)\\****************************************\\Comment:[/tex]

If my answer was helpful, please mark Brainliest! :)

Answer:

98

Step-by-step explanation:

Answer:

1 bat : 0 hits

Step-by-step explanation:

To get this unit rate all you have to do is divide both sides by 4.

(4/4) : (0/4) = 1:0

We get the same number of hits as in the original problem because 0 divided by any number (other than 0) will always equal 0.

Can I get brainliest please?

Answer

For any two consecutive odd numbers, the difference is 2. For example, 3 and 5 are two consecutive odd numbers, their difference = 5 - 3 = 2. For any two consecutive even numbers, the difference is 2. For example, 6 and 8 are two consecutive even numbers, their difference = 8 - 6 = 2.

Answer:

Step-by-step explanation:

gradient = y2-y1/x2-x1

-6-0/4-12

-6/-8

=3/4

Answer:

y = 140

Step-by-step explanation:

you'd do:

y=25(7)-35

y=175-35

y=140

to double-check your math:

140 = 25(7)-35

both sides will equal 140 (or the same value) if done properly

Answer:

PLZ MARK BRAINLIEST

Step-by-step explanation:

5. Distribute 10 (x - 1 )

10x - 10 = 10x -10

6. -7 (1+4x)

-7 ( 4x +1)

= -28x -7

7.  7 (-v-7)

  =  - 7v - 49

8. 7 ( 2 - x )

    7 (- x + 2 )

= - 7 x + 14

9. 4 ( - 7 - x )

    4 ( - x - 7)

= -4 x -28

10.  5 ( k - 5 )

      5k - 25

=  5k - 25

Answer and Step-by-step explanation:

(3rd option) The two lines are parallel, and they have a slope of [tex]\frac{2}{5}[/tex].

First, we can see that the two lines look parallel (meaning that if you were to go beyond what the graph shows (unless the graph shows an intersection), the lines at no point will intersect).

Second, If you found the slope of each line as well, (slope = rise over run, count up and then count right in this scenario from any point), they are the same, meaning they must be parallel to each other.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

B. (2, 5)

Step-by-step explanation:

If x = 2,

y = 2(2) + 1

= 5.

Answer:

7/16

Step-by-step explanation:

please give brainliest

Answer:

125000

Step-by-step explanation: