Martin is an after-school math tutor. He noticed that 6 people still needed help and only Two-fifths of the tutoring session time was left. Since each person is to be given an equal amount of time, Martin wrote the expression below to find the fraction of the tutoring session each person who still needed help would be allotted.

Two-fifths divided by 6

Using the fundamental counting theorem, it is found that:

a) 1296 combinations are possible.

b) [tex]6^n[/tex] combinations are possible.

The fundamental counting theorem states that for n independents trials, each with [tex]n_1, n_2, n_n[/tex] ways of being done, the total number of combinations is:

[tex]T = n_1 \times n_2 \times ... \times n_n[/tex]

Item a:

Four independent dice throws, each with six outcomes, thus:

[tex]T = 6 \times 6 \times 6 \times 6 = 6^4 = 1296[/tex]

Item b:

n independent dice throws, each with six outcomes, thus:

[tex]T = 6^n[/tex]

A similar problem is given at https://brainly.com/question/24067651

Answer:

its 4 pizzas

Step-by-step explanation:

The number of pizzas will be a whole quantity. Then the number of pizzas ordered will be 4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A group of 9 people are ordering pizza. Each person wants 3 slices and each pizza has 8 slices.

The total number of slices will be given as,

⇒ 9 x 3

⇒ 27

Then the number of pizzas will be given as,

⇒ 27 / 8

⇒ 3.375

The number of pizzas will be a whole quantity. Then the number of pizzas ordered will be 4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

8km to miles

8÷1.609

4.97097

Answer:

4.97 miles or approximately 5 miles

Step-by-step explanation:

To get kilometers to miles, you divide by 1.609

So [tex]\frac{8 km}{1.609 mi}[/tex]=4.97 or approximately 5 miles.

Answer:

Ans: 36

Step-by-step explanation:

just separate it into three rectangles and use the formula

A=l*b

and at last add all of them

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

The angles 60 degrees and 120 degrees are related by supplementary.

Supplementary angles are angles that sum up to 180 degrees.

In other word, supplementary angles are two angles whose measures add up to 180° .

Therefore, the two angles 60 degrees and 120 degrees are related by supplementary angle. Mathematically

learn more on angles here:https://brainly.com/question/3027144

Answer:

D 70,000

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

simple if you know how to multiply cuz thats all you doing anyway.

anyways you Welcome.

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The Above statement can be represented as :

so, the correct choice is A.

[tex](15x7 - 10x3 + 5x2) \div (5x2) \\ = (15x \times 7 - 10x \times 3 + 5x \times 2) \div (5x \times 2) \\ = (105x - 30x + 10x) \div (10x) \\ = 85x \div (10x) \\ = \frac{85x}{10x} \\ = \frac{17}{2} [/tex]

Answer:

Find the product as follows 9/10 x 2/5= 18/50

Step-by-step explanation:

I had this question and got it right!

b.

they're just intersecting.

Answer: sin B is equal to H in most scenarios, but I don't know what it is in this one.

Step-by-step explanation:

Answer:

61,000

Step-by-step explanation:

[tex]6.1[/tex]·[tex]10^{4}[/tex]

6.1·10000

61,000

Answer:

61,000

Step-by-step explanation:

6.1 · 10^4

6.1 · 10,000=

61,000

1. To solve algebra equations using the distributive property, we need to distribute (or multiply) the number with each term in the expression. In that way, the brackets are removed. We can then combine like terms and solve by equations when necessary.

2. The first step is simply to apply the distribution using the distributive property : 3(3x-5x)+2=-8 applying the distributive operation we get 9x -15x or we could have simply done 3(2x)+2=-8 which gives us 6x+2=-8 and finally 6x= -8/2= -4

6x=-4 means x= -4/6 thus x= -2/3

3. Multiplication has priority over addition or subtraction thus we have first to apply the distributivity before combining the variable terms

Answer:

d = 12.99cm

Step-by-step explanation:

The formula of the circumference of a circle is as follows:

    [tex]C = \pi d[/tex]

    [tex]40.82 = \pi d\\\frac{40.82}{\pi } = d\\ d = 12.99 cm[/tex]

Answer:

You can buy 6

Step-by-step explanation:

You divide 84 by 13 and it will give u a decimal

Area = Length X width

Let the width (breadth) = X

The length is double so it is 2x

Area = X * 2x = 2x^2

128 = 2x^2

Divide both sides by 2:

64 = x^2

take the square root of both sides:

x = 8

The breadth = 8 meters

The length = 16 meters

Answer:

C.

24 daisies

Step-by-step explanation:

Answer:

3x+2

Step-by-step explanation:

2x-2+X+4

= 2x+X+4-2

= 3x+2

Answer:

Step-by-step explanation:

The standard form is:

Given equation in point- slope form:

Convert:

Answer:

3 hours of tv per day

Step-by-step explanation:

there are 7 days in a week

21/7 = 3

Answer:

-5000

Step-by-step explanation:

hope this helps :)

Answer:

the diameter of a circle is 56 CM

Answer:

Sara=18 years

Samia=30 years

Step-by-step explanation:

For age questions, the difference of their ages remains the same.

Now             6 years from now

Sara:Samia Difference Sara:Samia Difference

  3   :    5            2             2   :   3           1

                                           x2     x2         x2   (times two to make them equal)

                                           4   :    6          2        

4-3=1

1 unit=6

Sara=6x3=18

Samia=6x5=30

Hope this helps! Thanks.

Answer:

7 hours

Step-by-step explanation:

If you divide

171 ÷ 9

you find the $ Tammy made in 1 hour.

171 ÷ 9 = 19

So Tammy made 19 for 1 hour of work.

Then we divide 133 by 19 to find out for how many hours she has to work.

133 ÷ 19.67 = 7. So Tammy has to work 7 hours to make $133.