51(x - 21) = x + 58
<em><u>Distributive property</u></em>
51x - 1071 = x + 58
<em><u>Subtract x from both sides</u></em>
50x - 1071 = 58
<em><u>Add 1071 to both sides</u></em>
50x = 1129
<em><u>Divide both sides by 50</u></em>
x = 22.58
Answer:
1184
Step-by-step explanation:
Given :
No. of parts made by machine A in 10 minutes = 7
No. of parts made by machine A in 10*6 minutes (1 hour) = 7 * 6 = 42 parts
No. of parts made by machine A in 12 hours as
required in problem = 42 * 12 = 504
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No. of parts made by machine B in 15 minutes = 17
No. of parts made by machine A in 15*4 =60 minutes (1 hour) = 17 * 4= 68 parts
No. of parts made by machine B in 10 hours as
required in problem = 68 * 10 = 680
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There fore total no. of parts made by
machine A and machine B on Monday = 680 + 504 = 1184 (Answer)
I have to go to the store and get some rest and feel better soon and that is the only way I can get a ride to the airport on Friday and I will be there at the same time I don't have to go to the store and get some rest and feel better soon and that is the only way to get the attention of the day at the office and I will be there at the same time
The temperature when Emily went to bed was -4°F.
Step-by-step explanation:
8°F + 3°F = 11°F (noon)
The temperature had risen by 3°F by noon. This means to add 3.
noon + 6°F = the day's high temperature
11°F + 6°F = 17°F (the day's high temperature)
The temperature rose another 6°F in the afternoon. This means add 6 to the temperature from noon.
high temperature - 21°F = temperature at bed
17°F - 21°F = -4°F
The temperature dropped by 21°F when Emily went to bed. This means to subtract 21 from the day's high temperature.
Risen, rose, and increase mean addition.
Decrease, dropped, and decline mean subtraction.
Hope this helps :)
Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC = 
= 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
