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bazaltina [42]
3 years ago
10

Micah buys 10 pens for every 2 pencils. Rachel buys 12 pens for every 3

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

Answer:

no

Step-by-step explanation:

micah

10: 2

5:1

rachel

12: 3

4:1

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What Value of m will make this equation true? 3 (m - 5) + 8 = 7 - 1/2 (4m - 11)​
KatRina [158]

Answer:

m = 7.1

Step-by-step explanation:

3 (m -5) + 8 = 7 -1/2 (4m - 11)

So, what I did first was distribute the values in the parenthesis to get,

3m - 15 + 8 = 7 -2m -5.5

Now that we have the parenthesis taken care of we can do the simpler math,

3m - 23 = 7 -2m - 5.5

I just added the 15 and 8, so now I move the -5.5 to the opposite side by adding.

3m - 23 = 7 -2m -5.5

<u>        +5.5             +5.5</u>

3m - 28.5 = 7 - 2m

Here we can do the same with the -2m.

3m - 28.5 = 7 - 2m

<u>+2m                 +2m</u>

5m - 28.5 = 7

To get rid of the -28.5 I added it to the 7 getting an answer of,

5m - 28.5 = 7

<u>      + 28.5    +28.5</u>

5m = 35.5

Finally, divide 5m and 35.5 both by 5.

5m/5 = m

35.5/5 = 7.1

Answer: m=7.1

Sorry it's really long, but I hope this helps! Have a great day!

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=e%20%3D%20mc%20%7B2%7D" id="TexFormula1" title="e = mc {2}" alt="e = mc {2}" align="absmiddle"
serg [7]

Answer:

The equation — E = mc2 — means "energy equals mass times the speed of light squared." It shows that energy (E) and mass (m) are interchangeable.

Hope this helped

6 0
3 years ago
The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th
Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

\displaystyle \bar C(X)=\frac{C(x)}{x}

The cost function is:

C(x) = -20x+1681

And the average cost function is:

\displaystyle \bar C(X)=\frac{-20x+1681}{x}

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

\displaystyle \frac{-20x+1681}{x}\le 21

Multiplying by x:

-20x+1681 \le 21x

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

1681 \le 21x+20x

1681 \le 41x

Swapping sides and changing the sign:

41x \ge 1681

Dividing by 41:

x\ge 41

The least number of items to produce is 41

8 0
3 years ago
A light bulb in Keisha's house uses a total of 4.86 watts of electric power. If the light bulb uses 5.4 watts each minute it is
Hoochie [10]

Answer:

I think it is 0.9 minutes (I could be wrong though.)

Step-by-step explanation:

3 0
2 years ago
Which is NOT a function? <br> A y – x = 6<br> B y = 2x<br> C x = -2<br> D y + x = 12
Fantom [35]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
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