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goblinko [34]
3 years ago
6

Devaughn's age is three times Sydney's age. The sum of their ages is 24 . What is Sydney's age?

Mathematics
2 answers:
mixer [17]3 years ago
6 0
Sydney's age = x
Devaughn's age= 3x

So you get the equation:
x+3x=24
4x=24 (combine like terms)
x=6 (divide both sides by 4)
BartSMP [9]3 years ago
6 0
Let, the age of Sydney = x
Age of Devaughn = 3x

It is given that, x + 3x = 24
4x = 24
x = 24/4
x = 6

In short, Sydney is 6 Years old

Hope this helps!
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A customer wants to tile their sunroom using 12" x24" tile which comes 9 pieces to a box the room is 8' by 9'6" calculate how ma
AysviL [449]

The number of pieces The customer will need actually is 38 tiles

The number of tiles in boxes the customer will buy is 45 tiles

Step-by-step explanation:

To solve the problem we will do these steps

1. Change the dimensions of the room from feet to inches

2. Calculate the area of the room

3. Calculate the area of one tile

4. Divide the area of the room by the area of the tile to find the number

   of tills

5. Divide the number of tiles by the number of pieces in one box

   to find the number of boxes he will need to buy

∵ The dimensions of the room are 8 feet by 9 feet 6 inches

∵ 1 foot = 12 inches

∴ 8 feet = 8 × 12 = 96 inches

∴ 9 feet 6 inches = 9 × 12 + 6 = 108 + 6 = 114 inches

∴ The dimensions of the sun room are 96" by 114"

The area of a rectangle is length × width

∵ Area of the room = 96 × 114 = 10944 inches²

∵ The dimensions of a tile are 12" by 24"

∴ Area of a tile = 12 × 24 = 288 inches²

∵ The number of tiles = Area room ÷ area tile

∴ The number of tiles = 10944 ÷ 288 = 38 tiles

<em>The number of pieces The customer will need is 38 tiles</em>

<u><em>V.I.N:</em></u>

The tiles come in boxes each box contains 9 pieces

∵ 38 ÷ 9 = 4.22

∴ He will need to buy 5 boxes with 45 tiles

<em>The number of tiles in boxes is 45 tiles</em>

Learn more:

You can learn more about the area of some figures in brainly.com/question/4459688

brainly.com/question/4354581

#LearnwithBrainly

4 0
3 years ago
How many different permutations can you make with the letters in the word s e v e n t e e n ? A. 7,560 B. 17! C. 15,120 D. 3,780
Bess [88]

I'm not 100% sure if I'm doing it the right way, but I think the answer is the factorial of the number of letters divided by the factorials of the number of elements of each kind of element (in this case, the same letters)


9!/1!4!1!2!1!

= 9 · 8 · 7 · 6 · 5 · 4!/4!2!

= 9 · 8 · 7 · 6 · 5/2

= 9 · 4 · 7 · 6 · 5

= 63 · 120


= 7,560 permutations

8 0
3 years ago
Read 2 more answers
Find the area of the shaded part in the given diagram
enyata [817]

Answer:

30cm^2

Step-by-step explanation:

area of large rectangle = length x width

= 5 X 9 = 45 cm^2

area of small rectangle = length x width

= 3 X 5 = 15 cm ^2

45 - 15 = 30cm^2

5 0
2 years ago
Jennifer figures that she uses 2 pens per month. she started the year with 10 pens. how do i write the equation that represents
andrew-mc [135]
So it would be 10-2x . X would be the months and it would be -2 because she uses that much per month
5 0
3 years ago
9. Antonio loves to go to the movies. He goes both at night and during the day. The cost of a daytime movie(x) is $6.00. The
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87.00 in simplest form
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