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2 years ago

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In a raffle, the winners of the first and second prizes each receive one ticket to an upcoming concert. You and a friend each bu

y a raffle ticket along with 16 other people. What is the exact probability that you win the first prize and your friend wins the second prize?

1 answer:

Darina [25.2K]2 years ago

8 0

61 is the answer I think

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How to slove step by step

wariber [46]

$\frac{x+3}{12}$ = $\frac{2}{7}$

Multiply both sides by 12, so that we get rid of the fraction in x.

12 · (x+3)/12 = 2/7 · 12

Simplify.

x + 3 = 24/7

Then, subtract 3 from both sides, so that "x" gets isolated.

x = 24/7 - 3

Turn "3" into an improper fraction so that we could find the value of x easier.

3 = 21/3

So :

x = 24/7 - 21/7

Simplify.

x = 3/7

~Hope this helps!~

7 0

2 years ago

A standard doorway measures 6 feet 8 inches by 3 feet. What is the largest dimension that will fit through the doorway without b

nikdorinn [45]

Answer:

87.73 inches

Step-by-step explanation:

We are given that the dimensions of the rectangular doorway are,

Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.

Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.

i.e. $hypotenuse^{2}=length^{2}+width^{2}$

i.e. $hypotenuse^{2}=80^{2}+36^{2}$

i.e. $hypotenuse^{2}=6400+1296$

i.e. $hypotenuse^{2}=7696$

i.e. Hypotenuse = ±87.73 inches

Since, the length cannot be negative.

So, the length of the diagonal is 87.73 inches.

As, the largest side of a rectangle is represented by the diagonal.

So, the largest dimension that will fit through the doorway without bending is 87.73 inches.

7 0

3 years ago

Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.

cestrela7 [59]

Answer:

Tamara incorrectly factored the whole expression.

Step-by-step explanation:

Note that

21x=3·7·x;
56xy=2·2·2·7·x·y.

Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.

Thus,

21x+56xy=7x(3+8y).

Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.

6 0

2 years ago

Beth has 4900 feet of fencing available to enclose a rectangular field. one side of the field lies along a river, so only three

Illusion [34]

Perimeter (P) = 2L + x

4900 = 2L + x ⇒ 4900 - x = 2L ⇒ $\frac{4900 - x}{2}$ = L

Area (A) = L · x

A = ( $\frac{4900 - x}{2}$ ) (x)

= $\frac{4900x - x^2}{2}$

4 0

2 years ago

students who failed mathematics scored the following marks 16.5,13.6,12.4,13.7 find the average mark for this students

SSSSS [86.1K]

Answer:

16.5+13.6+12.4.17.7= 60.2

60.2÷4 =15.05

8 0

2 years ago