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Tpy6a [65]
3 years ago
11

Ms. Johnson asked her class to write an equivalent

Mathematics
1 answer:
Anni [7]3 years ago
8 0
<span>Ahmad wrote the correct expression.
To prove that </span>7(2d + 3k - dk) - 7 is equal to 14d - 9 + 21k - 7dk + 2
Please check this solution:
7(2d + 3k - dk) - 7 = <span>14d - 9 + 21k - 7dk + 2
</span>7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -9 + 2
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -7

Get the common variable which is 7.
7(2d + 3k - dk) - 7 = 7(2d + 3k - dk) - 7

For checking, we can simplify the equation...
from 7(2d + 3k - dk) - 7 = 14d - 9 + 21k - 7dk + 2
We simplify it to:
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -7
7 * 2d = 14d
7 * 3k = 21k
7 * - dk = -dk

Therefore, 
7(2d + 3k - dk) - 7 is equal to 14d + 21k - 7dk -7
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Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $21
rodikova [14]

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

6 0
3 years ago
If 2x-3(x+4)=-5 then x=
Mrrafil [7]
2x - 3(x + 4) = -5
2x - 3x - 12 = -5
-x - 12 = -5
-x = -5 + 12
-x = 7
x = -7

The answer is: x = -7.
5 0
3 years ago
Sam is an apprentice carpenter whose boss asked him to construct a perfectly rectangular frame with a diagonal brace. When Sam h
zalisa [80]
If it's a perfectly rectangle frame with W = 50 cm & L= 90 cm

So the right diagonal should be √(50² +90²) = √10600 =102.96 cm

as per the calculation the diagonal should have a length of 102.96 cm, but the boss found 100 cm, that means their should be a frame which diagonal equal to 100 cm, short by 2.96 cm, that means short by 2.96/2 = 1.48 cm from the bottom & 1.48 cm from the top (same as well as for the 2nd diagonal)
In this case the boss should be happy

3 0
3 years ago
A researcher is testing a new painkiller that claims to relieve pain in less than 15 minutes, on average.a.State the hypotheses
Ivenika [448]

Answer:

I have a feeling it won't be exactly 15 minutes but it'll be around that time, if it's true.

Step-by-step explanation:

4 0
3 years ago
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Answer:

Step-by-step explanation:

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