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3 years ago

4 teammates share 5 granola bars equally. Draw to show how much each person gets. Shade the amount that one person gets

Mathematics

1 answer:

VLD [36.1K]3 years ago

7 0

Answer:

This is hard to draw. on here....

But here goes:

Teammate 1:

{====} {=

Teammate 2:

{====} =

Teammate 3:

{====} =

Teammate 4:

{====} =}

So each teammate gets 1.25 or 1 1/4 of a granola bar

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How many extraneous solutions does the equation below have?

FrozenT [24]

Answer

Explanation

(2m)/(2m+3)-(2m)/(2m-3)=1

Simplifying the left hand first

(2m)/(2m+3)-(2m)/(2m-3) = {2m(2m-3) - 2m(2m+3)}/(4m²-9)

(4m²-6m-4m²-6m)/(4m²-9)

= (-12m) / (4m²-9)

Now this equet to 1

(-12m) / (4m²-9) = 1

-12m = 4m²-9

4m²+ 12m -9 =0 ⇒⇒⇒ This is a quadratic equation that has 2 real solutions.

4m²+ 12m -9 =0

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(m + 3/2)² = 18/4

m = √18/2 - 3/2 or m = -√18/2 - 3/2

= 0.621 = -3.621

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Step-by-step explanation:

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What is the solution of the system x − 3y = –13 and 5x + 7y = 34? A. `x = (6)/(5)`, y = 4 B. `x = (7)/(2), y = (9)/(2)` C. `x =

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For this case we have the following system of equations:

$x-3y = -13\\5x + 7y = 34$

From the first equation we clear "x":

$x = -13 + 3y$

We substitute in the second equation:

$5 (-13 + 3y) + 7y = 34$

We apply distributive property:

$-65 + 15y + 7y = 34$

We add similar terms:

$-65 + 22y = 34$

We add 65 to both sides:

$22y = 34 + 65\\22y = 99$

We divide between 22 on both sides:

$y = \frac {99} {22}\\y = \frac {9} {2}$

We look for the value of the variable "x":

$x = -13 + 3 \frac {9} {2}\\x = -13 + \frac {27} {2}\\x = \frac {-26 + 27} {2}\\x = \frac {1} {2}$

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$(x, y): (\frac {1} {2}, \frac {9} {2})$

ANswer:

$(x, y): (\frac {1} {2}, \frac {9} {2})$

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