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disa [49]
3 years ago
15

Write the expanded form of the expression. -1/2 (y - x) = ?

Mathematics
1 answer:
morpeh [17]3 years ago
3 0

Answer:

The expanded form of the expression -\frac{1}{2}(y-x) is \mathbf{-\frac{1}{2}(y)+\frac{1}{2}(x)}

Step-by-step explanation:

We need to write expanded form of the expression -\frac{1}{2}(y-x)

For expansion we will use distributive property of multiplication over addition

a(b+c)=ab+ac

Applying above rule:

-\frac{1}{2}(y-x)\\=-\frac{1}{2}(y)-(-\frac{1}{2}(x))\\=-\frac{1}{2}(y)+\frac{1}{2}(x)

So, the expanded form of the expression -\frac{1}{2}(y-x) is \mathbf{-\frac{1}{2}(y)+\frac{1}{2}(x)}

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If a toy truck is created in a 2:9 scale, and the wheel of the toy is 14cm wide, how wide is the actual wheel?
lesya [120]

Answer:63 cm

Step-by-step explanation:

Given

The scale of creation is 2:9

The width of the toy wheel is 14 cm

Suppose x is the actual width of the truck

\therefore \dfrac{2}{9}=\dfrac{14}{x}\\\\\Rightarrow x=\dfrac{9}{2}\times 14=63\ cm

Thus, the width of actual truck is 63 cm

8 0
3 years ago
What is the unit rate for 297 words in 5.5 minutes
Stolb23 [73]

297:5.5

divide 5.5 by both sides which

5.5 divided by 5.5 is 1 and 297 divided by 5.5 is 54

1:54

the unit rate:

54 minutes per word or 54/1


6 0
3 years ago
Read 2 more answers
Tory and Quentin are the same age. Tory’s younger sister is the same age as Quentin’s younger brother. Tory is 3 years older tha
wariber [46]
Let Tory’s sister age = x

Since Tory is 3 years older than her sister ,

Tory = (x + 3)

let Quentin’s brother age = x

( because quentin’s brother & tory’s sister are the same age , we can let both their ages be x )

Since Quentin is 8 years less than twice his brother’s age ,

Quentin = (2x -8)

Since Quentin and Tory are the same age ,

x + 3 = 2x - 8

-x = -8-3
x = 11

Ans : 11 years old :)


I’m so sorry if this is incorrect

6 0
3 years ago
A rectangular Persian carpet has a perimeter of 220 inches the length of the carpet is 22 inches more than the width what are th
Sedaia [141]

Answer:

length= 65 inches

width= 45 inches

Step-by-step explanation:

65 plus 65= 130

45 plus 45= 90

130 plus 90= 220 in.

5 0
3 years ago
If 6 is subtracted from 3 times a certain number, the result is 84. Find the number.
Soloha48 [4]

Answer:

30

Step-by-step explanation:

So to do this you would set up the equation 3x-6=84 than you would add 6 to both sides so you would get 3x=90 than you would divide 3 from both sides so x=30 and that is the final answer which is correct

7 0
3 years ago
Read 2 more answers
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