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Alexeev081 [22]
3 years ago
7

The weather center in Alaska recorded the average temperature for 42 days and prepared the dot plot shown. What was the mean tem

perature during that period?
A. 12.4 degrees
B. 10.7 degrees
C. 11.3 degrees
D. 9 degrees

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0
Your answer will be C, 11.3. 42 numbers all together, add them up and you get 476 then you divide it by 42 and get 11.3
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If a/4 = 9/a, then<br> a²=36<br> 4a = 9a<br> a + 4 = 9 + a<br> a - 4 = 9 - a
Anna [14]

Answer:

Option A is correct.

The given expression : \frac{a}{4} = \frac{9}{a} then;

a^2 = 36

Step-by-step explanation:

Given the expression: \frac{a}{4} = \frac{9}{a}

Cross multiplication the given expression following steps are as follow;

  • Multiply  numerator of the left-hand fraction by the denominator of the right-hand fraction
  • Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.
  • then, set the two products equal to each other.

Using cross multiplication, on the given expression;

\frac{a}{4} = \frac{9}{a}

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

\frac{a \times a}{4} = 9

Simplify:

\frac{a^2}{4} =9                              [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

a^2 = 9\times 4

Simplify:

a^2 = 36

Therefore, the given expression is equal to: a^2 = 36




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