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3 years ago

Write 18/42 in simplest form. Use / for the fraction line.

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

7 0

18/42
Both are divisible by 2
9/21
both are divisible by 3
3/7

Agata [3.3K]3 years ago

3 0

It is 9/21 because you have to divide 18 and 42 by two because that's the Greatest Common Factor.

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A carpenter needs to make 60 dowels. each dowel must be 6 inches long. the wood from which the carpenter will cut the dowels com

quester [9]

The carpenter would have to buy 8 dowels that are 4 foot in length.

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3 years ago

Expand & simplify: (x - 2)(x - 3)

Molodets [167]

Answer:

x^2-5x + 6

Step-by-step explanation:

Here, we want to expand the given expressions

To do this, we multiply each term in the first bracket with each term in the second

We then proceed to collect like terms

We have this as;

x(x-3) - 2(x-3)

= x^2 - 3x -2x + 6

= x^2 -5x + 6

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3 years ago

PLEASE HELPPPPPP. I NEED IT DONEEEEE.

agasfer [191]

Answer:

1. Couples tickets: $8

Individual tickets: $4

2. Song download cost: $2

Movie download cost: $15

Step-by-step explanation:

You can solve both of these questions by doing system of equations.

Let's start with question 1.

There are 2 variables in this equation:

- Couples tickets price: let's represent these with the letter C

- Individual tickets price: let's represent these with the letter K

Writing the two equations would look this these:

5c + 2k = 48

3c + 2k = 32

Next, isolate a variable. I am going to isolate K in the first equation.

$2k = -5c + 48 \\k = -\frac{5}{2}c + 24$

Now that we isolated a variable we can plug that back in to the second equation:

$3c + 2(-\frac{5}{2}c + 24) = 32\\3c - \frac{10}{2}c + 48 = 32\\3c -5c + 48 = 32\\-2c + 48 = 32\\-2c = -16\\c = 8$

We found that c is equal to 8 so we can put that back in to an equation to solve for k.

5(8) + 2k = 48

40 + 2k = 48

2k = 8

k = 4

Therefore, the price for couples tickets is $8 and the price for individual tickets is $4.

Check #1:

5(8) + 2(4) = 48

40 + 8 = 48

48 = 48

3(8) + 2(4) = 32

24 + 8 = 32

32 + 32

Now, let's go on to question 2.

There are 2 variables in this equation:

- Price of songs downloaded: let's represent these with S

- Price of movies downloaded: let's represent these with M

Writing the two equations would look like this:

15s + 11m = 195

15s + 8m = 150

There is a simple way to answer this system, however.

If you change the bottom equations signs to negative you can minus the second equation from the first equation like this:

15s + 11m = 195

-(15s +8m = 150)

Minus them to get this equation:

3m = 45

Solve

m = 15

We have found that each movie download costs $15, now let's plug this back into an equation:

15s + 11(15) = 195

15s + 165 = 195

15s = 30

s = 2

Each song costs $2 to download.

Check #2:

15(2) + 11(15) = 195

30 + 165 = 195

195 = 195

15(2) + 8(15) = 150

30 + 120 = 150

150 = 150

I hope this helps!!

- Kay :)

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3 years ago

Find the angle relationship in the table

polet [3.4K]

Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear

Step-by-step explanation:

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3 years ago

the hypotenuse of a 45°-45°-90° triangle measures 128 cm. What is the length of one leg of the triangle? 64 cm cm 128 cm cm

Kisachek [45]

Answer:

length of one leg of the triangle is 64 cm.

Step-by-step explanation:

Given : The hypotenuse of a 45°-45°-90° triangle measures 128 cm.

To find : What is the length of one leg of the triangle.

Solution : We have given that hypotenuse of a 45°-45°-90° triangle measures 128 cm.

By the 45°-45°-90° triangle rule ,

Perpendicular sides (legs) are equal .

Hypotenuse = √2 × either perpendicular side ( leg ).

128 = √2 × leg .

We can write 128 as 64 √2 and substitute in above

64√2 = √2 leg.

On dividing by √2 both sides and switching sides.

leg = 64 cm .

Therefore, length of one leg of the triangle is 64 cm.

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3 years ago