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3 years ago

Which measurement is the best estimate for the length of a clothespin? 9 mm 9 cm 9 m 9 km?

1 answer:

8 0

The answer would 9 cm. All of the given choices are wrong since the measurement maybe too big or too small. Like for 9 millimeter, it would be too small for a clothespin. While 9km is too big for a clothespin, there is no such thing as a 9km clothespin. While 9 m is also too big. The approximate size of a clothespin is 3 inches, when we convert it to cm, it will be 7 cm. So 9 cm is a best approximate.

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Simplify the following expression as a monomial X^2y÷yx^2

Novay_Z [31]

$\bf ~\hspace{7em}\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
~\hspace{4.5em}
a^n\implies \cfrac{1}{a^{-n}}
~\hspace{4.5em}
\cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
x^2\div yx^2\implies \cfrac{x^2}{yx^2}\implies \cfrac{x^2\cdot x^{-2}}{y}\implies \cfrac{x^{2-2}}{y}\implies \cfrac{x^0}{y}\implies \cfrac{1}{y}$

8 0

3 years ago

-x + 2y = 3 2x – 3y = -6

s2008m [1.1K]

Answer:

x = -3

y = 0

Step-by-step explanation:

Given equations :- 

-x + 2y = 3 ....... ( i )

2x - 3y = -6 ....... ( ii )

From ( i ) 

-x + 2y = 3

-x = 3 - 2y

x = 2y - 3 ........ ( iii )

From ( ii ) 

2x - 3y = -6

2x = -6 + 3y

$x = \frac{ - 6 + 3y}{2}$

........ ( iv )

Equating ( iii ) and ( iv )

x = x

$2y - 3 = \frac{ - 6 + 3y}{2}$

4y - 6 = -6 + 3y

4y - 3y = -6 + 6

y = 0

Putting value of y in ( iii )

x = 2y - 3

x = 2 ( 0 ) - 3

x = -3

4 0

3 years ago

Points A and B are located in a standard (x,y) coordinate plane. If A has coordinates (4,-4) and B has coordinates (0,8), what a

dimulka [17.4K]

the easiest way I find a midpoint of two points is the midpoint theorem, here it is:

$\frac{x1+x2}{2} , \frac{y1+y2}{2}$

For x and y plug in the two coordinates given, (4,-4) & (0,8)

so once you plug the numbers into the equation you would get:

(2,2)

7 0

3 years ago

Dominic pays 7% interest on his $16,000 college loan and 12% interest on his $12,000 car loan. What average interest rate does h

Naya [18.7K]

The average interest rate is 8.57% paid on the total of $28,000

<h3>What is the percentage?</h3>

The percentage is defined as a ratio expressed as a fraction of 100.

Dominic pays 7% interest on his $16,000 college loan,

And 12% interest on his $12,000 car loan

To determine the average interest rate paid on the total $28,000 he owes

Calculating the total interest amount paid :

⇒ 7% of 16,000 + 12% of 12,000

⇒ (7/100)16,000 + (12/100)12,000

⇒ (0.07)16,000 + (0.12)12,000

⇒ 960 + 1440

⇒ 2400

So the average interest rate paid on the total of $28,000 as

⇒ 2400/28,000 = 0.0857 ≈ 8.57%

Hence, the average interest rate is 8.57% paid on the total of $28,000

Learn more about the percentage here:

brainly.com/question/24159063

#SPJ1

7 0

1 year ago

Read the statement, and identify the expressions that are equivalent. the product of a number minus 17 and 5

4vir4ik [10]

(n-17) * 5
n= the number
* = multiplication sign

5 0

3 years ago