Answer:
<u>The number is 296.</u>
Step-by-step explanation:
Let's call "x" to the number we are looking for.
Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:
. Let's solve the equation to find x.
1. Write the expression.

2. Substract 5 from both sides and simplify.

3. Multiply 8 on both sides and simplify.

<u>We have found our number, it's 296!</u>
The area is found by base x height
To find the missing height in the first one you divide 147 by 15 3/4 and get 9 1/3.
To find the missing base in the second one you divide 140 5/8 by 11 1/4 and get 12 1/2.
To find the missing height in the third one you divide 151 3/16 by 10 1/4 and get 14 3/4.
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Answer:
5<x<11
Step-by-step explanation:
Her dance class is 1 hour and 45 minutes long
Hope this helps!
Answer:

Step-by-step explanation:
<u>Given Second-Order Homogenous Differential Equation</u>

<u>Use Auxiliary Equation</u>
<u />
<u>General Solution</u>
<u />
Note that the DE has two distinct complex solutions
where
and
are arbitrary constants.