Combine all like terms and use inequality as = sign
5c-20 <15c + 10
Add 20 to each side
5c< 15c + 30
Subtract 15c from each side
-10c < 30
Divide each side by -10
c < -3
Answer:
side of the pool = 11 m
Step-by-step explanation:
<u>Square Plot:</u>
side = 35 m
Area = 35 * 35 = 1225 sq.m
Area of lawn = 1104 sq.m
<u>Swimming pool:</u>
Area of the Swimming pool = 1225 - 1104 = 121 sq.m
side * side = 121 = 11 * 11
side = √11 * 11
side of the pool = 11 m
Answer:
A, B, F
Step-by-step explanation:
2/3 - x + 1/6 = 6x
Collect like terms
2/3 + 1/6 = 6x + x
(4+1) / 6 = 7x
5/6 = 7x
x = 5/6 ÷ 7
= 5/6 × 1/7
x = 5/42
a) 4 - 6x + 1 = 36x
4 + 1 = 36x + 6x
5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
b) 5/6 - x = 6x
5/6 = 6x + x
5/6 = 7x
This is equivalent to the third step of the simplification
c) 4 - x + 1 = 6x
4 + 1 = 6x + x
5 = 7x
x = 5/7
Not equivalent to any of the steps in the simplification above
d) 5/6 + x = 6x
5/6 = 6x - x
5/6 = 5x
x = 5/6 ÷ 5
= 5/6 × 1/5
x = 5/30
Not equivalent to any of the steps in the simplification above
e) 5 = 30x
x = 5/30
Not equivalent to any of the steps in the simplification above
f) 5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
The group of those shapes are parallelograms
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The median number of minutes for Jake and Sarah are equal, but the mean numbers are different.
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For this, you never said the choices, but I’ve done this before, so I’m going to use the answer choices I had, and hopefully they are right.
Our choices are -
• The median number of minutes for Jake is higher than the median number of minutes for Sarah.
• The mean number of minutes for Sarah is higher than the mean number of minutes for Jake.
• The mean number of minutes for Jake and Sarah are equal, but the median number of minutes are different.
• The median number of minutes for Jake and Sarah are equal, but the mean number of minutes are different.
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So to answer the question, we neee to find the median and mean for each data set, so -
Jack = [90 median] [89.6 mean]
Sarah = [90 median] [89.5 mean]
We can clearly see the median for both is 90, so we can eliminate all the choices that say they are unequal.
We can also see that Jack has a higher mean (89.6) compared to Sarah (89.5).
We can eliminate all the choices that don’t imply that too.
That leaves us with -
• The median number of minutes for Jake and Sarah are equal, but the mean number of minutes are different.
