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Stella [2.4K]
3 years ago
10

Solve for a 9a² = 16a College Intermediate Algebra

Mathematics
1 answer:
Fed [463]3 years ago
7 0

We want to solve 9a² = 16a for a.

Because the a is on both sides, a good strategy is to get all the a terms on one side and set it equal to zero. Then we apply the Zero Product Property (if the product is zero then so are its pieces and Factoring.

9a² = 16a

9a² - 16a = 0                <-----subtract 16a from both sides

a (9a - 16) = 0               <-----factor the common a on the left side

a = 0   OR   9a - 16 =0   <----apply Zero Product Property

Since a = 0 is already solved we work on the other equation.

9a - 16 = 0

9a = 16                        <----------- add 16 to both sides

a = 16/9                       <----------- divide both sides by 9


Thus a = 0 or a = 16/9

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Answer:

x = -7

Step-by-step explanation:

Eleven more than five times a number is equal to the difference between −38 and twice the number.

let x represent the number.

11 + 5x = -38 - 2x

7x +11 = -38.............add 2x to both sides

7x = -49................... subtract 11 from both sides

x = -7........................divide both sides by 7

4 0
3 years ago
Buys 5 apples for 2.60 dollars how much does one apple cost
scoray [572]

Answer:

One apple cost $0.52.

Step-by-step explanation:

$2.60/5 = $0.52

$0.52 * 5 = $2.60

5 0
3 years ago
A clock loses 1 second every minute. It is set to the correct time at 10 AM on February 4. In which month is the next day on whi
Kruka [31]
<h3>Answer: The month of April</h3>

More accurately: The correct time will be shown on April 4th if it is a leapyear, or April 5th if it is a non-leapyear. It takes 60 days for the clock to realign, which is the same as saying "the clock loses 24 hours every 60 days".

===================================================

Explanation:

The following statements shown below are all equivalent to one another.

  • Clock loses 1 second every 1 minute (original statement)
  • Clock loses 60 seconds every 60 minutes (multiply both parts of previous statement by 60)
  • Clock loses 1 minute every 1 hour (time conversion)
  • Clock loses 60 minutes every 60 hours (multiply both parts of previous statement by 60)
  • Clock loses 1 hour every 2.5 days (time conversion)
  • Clock loses 24 hours every 60 days (multiply both parts of previous statement by 24)

Use a Day-Of-Year calendar to quickly jump ahead 60 days into the future from Feb 4th (note how Feb 4th is day 35; add 60 to this to get to the proper date in the future). On a leapyear (such as this year 2020), you should land on April 4th. On a non-leapyear, you should land on April 5th. The extra day is because we lost Feb 29th.

The actual day in April does not matter as all we care about is the month itself only. Though it's still handy to know the most accurate length of time in which the clock realigns itself.

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Tcecarenko [31]

m= negative four thirds (-4/3)

3 0
4 years ago
Help me I don’t get this
natali 33 [55]

Answer:

B

Step-by-step explanation:

An object on the moon weighs 1/6th of its weight on earth. If the object weighs 12 lbs then it weighs 1/6(12) = 12/6 = 2 lbs. This can be applied to any object's weight using m = e/6.

4 0
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