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Natalka [10]
3 years ago
7

I plant grew 3 1/4 inches over 6 1/2 month period. What was the average monthly growth rate for the plant

Mathematics
1 answer:
Sholpan [36]3 years ago
6 0

Answer:

0.5 inches per a month

Step-by-step explanation:

you turn them to a decimal to make them easier and then divide them to get the answer.

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Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number
Gnoma [55]

Sum/difference:

Let

x = 5 + (-3\sqrt{8}) = 5-3\sqrt{8}

This means that

3\sqrt{8} = 5-x \iff \sqrt{8} = \dfrac{5-x}{3}

Now, assume that x is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that x was rational, which proves that the sum/difference of the two given terms was irrational

Multiplication/division:

The logic is actually the same: if we multiply the two terms we get

x = -15\sqrt{8}

if again we assume x to be rational, we have

\sqrt{8} = -\dfrac{x}{15}

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.

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3 years ago
Given: m&lt;4 + m&lt;7 = 180°<br> Prove: c ll d<br> I need the statements and reasons
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Kevin and Randy Muise have a jar containing 70 coins, all of which are either quarters or nickels. The total value of the coins
Nikitich [7]

Answer:

50 nickels, 20 quarters.

Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

<em>q + n = 70, 0.25q + 0.05n = 7.50</em>

the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.

So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.

Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.

6 0
3 years ago
Find the solution to the system of equations
Neko [114]

Answer:

x=1

y=-4

Step-by-step explanation:

Since -x-3=y subsitue that in at the top equation

- x - 3 =  - 7x + 3

- x =  - 7x + 6

6x = 6

x = 1

Plug x=1 back into the equation to solve for y.

y =  - 7(1) + 3

y =  - 4

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