expand and simplify (3x+4)(2x+3)

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{4}{6}[/tex]

[tex]\text{Probability}=\dfrac{2}{3}[/tex]

In decimal form, it can be written as:

[tex]\text{Probability}\approx 0.67[/tex]

In percentage form, it can be written as:

[tex]\text{Probability}=\dfrac{2}{3}\times 100[/tex]

[tex]\text{Probability}\approx 66.67%[/tex]

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are [tex]\dfrac{2}{3}, 0.67[/tex] and [tex]66.67\%[/tex] respectively.

Answer:

c = 29

Step-by-step explanation:

Since the opposite side of the given angle 41, is given and the hypotenuse has to be found out, we will use the Sin ratio

Sin(41) = [tex]\frac{19}{c}[/tex]

=> To isolate the c all by itself first multiply c on both sides of "="

Sin(41) * c = 19

=> Now divide each side by Sin(41)

c = [tex]\frac{19}{Sin(41)}[/tex]

c = 28.96 or 29

Hope this helps!

Answer:

160.13

Step-by-step explanation:

you would divide 6.75 by 100 then multiple that to 150 the you would take that answer and add it to 150

Answer: 2 inches

Step-by-step explanation:

14 inches

Step-by-step explanation:

Length of the hole = 16(½) inches

Length of the dirt = 8(¾)inches

The distance between the top of the pile to the bottom of the hole = ?

Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.

Distance from the top to the bottom = length of dirt + length of the hole

Length of dirt = 8×¾ = 6 inches

Length of the hole = 16 × ½ = 8 inches

Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches

Distance from the top of the dirt to the bottom of the hole = 14 inches

Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left

Distance left = length of hole - length of dirt

Distance left = 8 - 6 = 2 inches .

Answer:

100 degrees

Step-by-step explanation:

The measure of angle T is 100 degrees.

Answer:

what area do u need, l think it's 5 in 19

Answer: 30 degrees

Step-by-step explanation: Vertical angles are always congruent. If Angle A and Angle B are vertical then they are equal to each other. They both will way thirty degrees.

Answer:

Step-by-step explanation:

I hope this helps you

Rectangular Prism Volume is

Height. Width. Height

(6.25).(7.5).(8)

375

Answer:

The answer is "Option C".

Step-by-step explanation:

The graph of the even function will have both ends pointed in the same direction, while the graph of the odd function will have both ends pointed inside the reverse way. Furthermore, as the y-axis approaches, and also regular expression graph becomes symmetric. The graph of an unusual function, on either hand, is symmetric around the origin and also has rotational symmetry around the origin. They could see that the graph of function g meets a function requirement by looking at it. That graph of function f, but on the other hand, is not symmetric about its y-axis, implying that function f is not even. As both a result, g is a function that is even.

Answer:

Only function g is given

Step-by-step explanation:

Answer:

Right scalene

Step-by-step explanation:

The triangle has a right angle, but no sides are equal.

Answer:

The triangle is a right scalene triangle.

Step-by-step explanation:

If any angle is marked by a little square like in the triangle's bottom left corner, that means the angle is 90° or a right angle. Since none of the angles in the triangle are equivalent, that means the right triangle is a scalene triangle. So the correct choice is a right scalene triangle.

Answer: Diameter = 4 cm

Step-by-step explanation:

20π = (π)(r^2)(5)

divide by 5 * π

4 = r^2

find the square root of both sides

2 = r

2 * 2 = d

4 = d

Answer:

84 seconds

Step-by-step explanation:

7    12

14    24

21    36

28     48

35     60

42     72

49    84

56

63

70

78

84

Step-by-step explanation:

most likely be drawn: blue

pulling orange: 3/10

pulling red: 2/10 or 1/5

pulling purple: 1/10

pulling white: 0

Answer:

C

Step-by-step explanation:

Process of elimination

Answer:

No

Step-by-step explanation:

7 3/4 x 3 = 22 1/2

Answer:

508.68

*sorry if this is late

Step-by-step explanation:

Divide 36 by 2 to get radius

Multiply 18 by itself to get 324

Multiply 324 by 3.14 to get the area of a circle

Divide it by 2 to get the area of the semi circle

Answer:

7 1/2 divided by 3/4 is 10

Step-by-step explanation:

10

Brainiest please and thank you

Answer:

you need a calculator for the answer

Answer:

11/12

Step-by-step explanation:

Answer:

A. 11/12 cup

Step-by-step explanation:

3 1/4 = 2 5/4

2 5/4-2 1/3 = 5/4-1/3

5/4-1/3 = 11/12

Answer:

I think is b

Step-by-step explanation:

Answer:

y = -3/2x + 3

Step-by-step explanation:

y = -3/2x + b

-3 = -3/2(4) + b

-3 = -6 + b

3 = b

1(Identifying):

Tomatoes-x--$3 per lb

Mushrooms- 1/3 x-- $10 per lb

Peaches- x+1-- $6 per lb

2(Equation):

3x+6(x+1)+1/3x*10=80

3x+6x+6+10/3 x=80

12 1/3 x= 74

x=74÷(12+1/3)

Step 3(Final Equations):

74*3/37=6=tomatoes

Meaning...

6+1=7=Peaches

6/3=2= mushrooms

Answer:

7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms

Answer:

7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms

Step-by-step explanation:

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 1, 1 ]

f(b) = f(1) = 3 ← value of y when x = 1

f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1

average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

See explanation.

Step-by-step explanation:

An expression is a set of terms that are combined using addition, subtraction, multiplication, or division. The following are examples of expressions:

[tex]2x-1[/tex]

[tex]5y+8[/tex]

[tex]2[/tex]

Note: expressions do not equal anything.

In contrast, equations are expressions that equal at least one term. The following are examples of equations:

[tex]2y-4=26[/tex]

[tex]4x-4=0[/tex]

[tex]x=10[/tex]

[tex]y=x+2[/tex]

Note: equations do equal a term, as shown in the examples.

Answer:

33 feet.

Step-by-step explanation:

If the ratio of the student to their shadow and flagpole to its shadow are equal, then you can use the proportion

5.5/3 = x/18 and cross multiply to find x.

5.5 × 18 = 99

3 × x = 3x

3x/3 = x, 99/3 = 33.

x = 33.

Answer:

Erin

Step-by-step explanation:

I believe Erin is right in this case.