2x - 3
L
M
x + 4
X =
?

Answer:

[tex]\frac{13}{204}[/tex] ≈ 0.0637

Step-by-step explanation:

Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.

To find: probability of choosing a heart and then, without replacement, a spade

Solution:

Probability refers to chance of occurrence of any event.

Probability = Number of favorable outcomes ÷ Total number of outcomes

Total number of cards = 52

Number of hearts = 13

So,

probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]

Number of remaining cards = [tex]52-1=51[/tex]

Number of spades = 13

Probability of choosing a spade = [tex]\frac{13}{51}[/tex]

Events consisting of choosing a heart and spade are independent.

So,

Probability of choosing a heart and then, without replacement, a spade =

Probability of choosing a heart × Probability of choosing a spade

= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637

Answer:

cross ❌ multiply

6x-1=2

6x=2+1

6x=3

divide both sides by 6

x=1/2

Given:

Width of the rectangular yard = x feet

Length of the rectangular yard = x+4 feet

Perimeter of the rectangular yard is:

[tex]P=4x+8[/tex]

Perimeter of the yard = 84 feet

To find:

The length of the rectangular yard.

Solution:

Perimeter of the yard is 84 feet.

[tex]4x+8=84[/tex]

[tex]4x=84-8[/tex]

[tex]4x=76[/tex]

Divide both sides by 4.

[tex]x=\dfrac{76}{4}[/tex]

[tex]x=19[/tex]

So, the width of the rectangular yard is 19 feet.

Length = [tex]19+4[/tex]

Length = [tex]23[/tex]

The length of the rectangular field is 23 feet.

Therefore, the correct option is B.

Answer:

130

Step-by-step explanation:

2(4x - 3) + 6(3y - 5)

2(4 × 5 - 3) + 6(3 × 7 - 5)

2(20 - 3) + 6(21 - 5)

2(17) + 6(16)

34 + 96

130

Answer:

The answer would be 130

Step-by-step explanation:

First, substitute the variable values into the equation.

2(4(5)-3) + 6(3(7)-5)

Next, solve for the inside parentheses.

2(20-3) + 6(21-5)

Now solve the parentheses again.

2(17) + 6(16)

Then multiply the numbers.

34 + 96

Finally add the last two numbers together to get your answer of 130.

Hope this helped!

Answer:

m = 1

Step-by-step explanation:

(2,1) and (8,7)

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

m=(7-1)/(8-2)

m=6/6

m = 1

Answer:

1. 26.1 cm²

Step-by-step explanation:

For area of semi circle

diameter = 6cm

radius = 6/2 = 3cm

Area of semi circle = 1/2 x pi x r²

= 1/2 x 3.14 x 3²

= 1.57 x 9

= 14.13 cm²

For area of rectangle,

length = 6cm

breadth = 2cm

Area = length x breadth

= 6 x 2

= 12cm²

Area of compound shape = 14.13 + 12

= 26.13 cm²

X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.

K = 19

Answer:

Five hundred six million, three hundred forty-one thousand, two hundred nine and fifty four hundredths.

Step-by-step explanation:

506, => Five hundred six million,

341, => three hundred forty-one thousand,

209 => two hundred nine

.54 => and fifty four hundredths.

This is how you would write it.

Hope it helps!

Answer:

Answer A

Step-by-step explanation:

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

Step-by-step explanation:

green = 3/20

black = 4/20 = 1/5

Answer: 35

Step-by-step explanation:

1064 x

19

________

20216 legos

Sharon has 20216 legos

Answer:

2km

Step-by-step explanation:

400*5=2000m

2000/1000=2km

Answer:

7

Step-by-step explanation:

You have to multiply all of them with 8

Answer:

Length of pendulum = 72 feet

Step-by-step explanation:

Given:

Time period (T) = 9.42

pi = 3.14

According to question,

T = 2 x pi x root(L/32)

9.42 = 2 x 3.14 x root(L/32)

9.42 = 6.28 × root (L/32)

9.42/6.28 = root(L/32)

1.5 = root(L/32)

Squaring both sides,

2.25 = L/32

L = 2.25 x 32

L = 72

Answer:

L=72

Step-by-step explanation:

T=2pi[tex]\sqrt{L/32\\}[/tex]

9.42 = (2 x 3.14)[tex]\sqrt{L/32}[/tex]

1.5=[tex]\sqrt{L/32}[/tex]

2.25 = L/32   (I squared both sides)

L=72

Hope this Helps

Answer:

x/300=24/100

Step-by-step explanation:

24/100 is the same as 24% and by cross multiplying you can find 24% of 300

Answer:

24 percent just means "24 for every hundred"  300 is literally three hundreds, so 24 percent of it three 24s, or 72.

Answer:

Answered!!

Step-by-step explanation:

If Tyesha only wants to eat 115 calories of the Italian Ice, how many ounces is she allowed to eat? In this case she is only allowed to eat 10 ounces

Answer:

3 6 8

Step-by-step explanation:

i just need them points.

Answer:

D. 64º and 90º

Step-by-step explanation:

All triangles' angles add up to 180º.

A right triangle must have an angle that is 90º and it gives you that one is 26º so all you have to do is add those together and subtract that from 180º to find the last angle.

180 - (90 + 26) = 64º

So the two other angles of the triangle would be 90º and 64º.

Answer:

the total surface area of the prism is 245.67

Step-by-step explanation:

Given;

height of the triangular prism, h = 8

length of the triangular bases, = 7, 8, and 9

The total surface area of the prism is calculated as;

T.S.A = ph + 2B

Where;

p is the perimeter of the base

B is area of the base

P = 7 + 8 + 9 = 24

Area of the base can be calculated using Hero's formula;

[tex]S = \frac{7+8+9}{2} = 12\\\\Base \ area (B) = \sqrt{12(12-7)(12-8)(12-9)} = 26.833[/tex]

T.S.A = (24 x 8)   +  2 x 26.833

T.S.A = 192 +  53.666

T.S.A = 245.67

Therefore, the total surface area of the prism is 245.67

Answer:

The second one

4/5 is next to x

And the y intercept is NEGATIVE 6 or (-6)

Step-by-step explanation:

Answer:

x=135

Step-by-step explanation:

x=180-45

x=135

ask if any questions

Answer: 47/363

(Decimal: 0.129477)

Answer:

85.625 is the answer

Step-by-step explanation:

or, 85 whole 5/675