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2 years ago

If light travels 6.71 x 108 miles in one hour, how many miles will it travel in 90 minutes?

1 answer:

7 0

6.71*108= 724.68 then divide that by 60 to see how far it goes per minute. Which is 12.078 then multiply by 90 so 1,087.02

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Select the rational expression that is equivalent to the given expression below. 4/x-3

Aliun [14]

To find the correct option we need to calculate each of the given options.
Option (1):
$\frac{x+2}{x-3} / \frac{4}{x+2} = \frac{x+2}{x-3} * \frac{x+2}{4} = \frac{(x+2)^2}{4(x-3)}$

Option (2):
$\frac{x+2}{x-3} * \frac{4}{x+2} = \frac{4}{x-3}$

Option (3):
$\frac{x+2}{x-3} - \frac{4}{x+2} = \frac{(x+2)^2-4(x-3)}{(x-3)(x+2)}$

option (4)
$\frac{x+2}{x-3} + \frac{4}{x+2} = \frac{(x+2)^2+4(x-3)}{(x-3)(x+2)}$

So, the correct answer is option (2)

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3 years ago

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Robin buys 40 flowers to put into 5 vases. She writes that 40 is 5 times as many as 8. What other comparison sentence can she wr

Yakvenalex [24]

she can say 40 is 8 times as many as 5

6 0

3 years ago

What expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?

AveGali [126]

Answer: $\text{Area of the square shaped traffic sign }=16x^2+9+24x$

Step-by-step explanation:

Given: The side of the square shaped traffic sign = 4x+3

We know that the area of square is given by:-

$Area= side^2$

Therefore, the area of the side of the square shaped field is given by:-

$Area=(4x+3)^2$

We know that , $(a+b)^2=a^2+b^2+2ab$

Therefore,

$(4x+3)^2=(4x)^2+(3)^2+2(4x)(3)\\=16x^2+9+24x$

Hence, $\text{Area of the square shaped traffic sign }=16x^2+9+24x$

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3 years ago

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Find the slope please

Katarina [22]

Answer:

slope is $-\frac{3}{4}$

Step-by-step explanation:

1,-1 -3,2 are two points on the graph

the equation to find slope is $\frac{y_{1}- y_{2} }{x_{1}- x_{2} }$

so $\frac{2--1}{-3-1} = -\frac{3}{4}$

or you can count how many places it changed in the equation $\frac{rise}{run}$

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3 years ago

Niu has decorated x cards. He started with 24 stickers, and he used 4 stickers per card. Which expressions can we use to describ

Kisachek [45]

Answer:

$24-4x$

Step-by-step explanation:

We have been given that Niu has decorated x cards. He started with 24 stickers and he used 4 stickers per card. So stickers used in x cards will be 4x.

As initial number of stickers was 24, so we can find number of stickers left after decorating x cards by subtracting number of stickers used in x cards from 24.

$\text{Number of stickers that Niu has left}=24-4x$

Therefore, the expression $24-4x$ will represent the number of stickers that Niu has left after decorating x cards.

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3 years ago

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