When a force of 30 N acts on a certain object the acceleration of the object is 5m/s2 if the force is changed to 54 N what will
1 answer:
Answer:
The correct answer is 9 m per
Step-by-step explanation:
Force is defined by mass of an object times it's acceleration.
Let the mass of the object be m kilograms.
When a force of 30 N acts on a certain object the acceleration of the object is 5 m per
∴ 30 = m × 5
⇒ m = 6.
If the force is changed to 54 N, let the acceleration of the object be x m per .
∴ 54 = m × x
⇒ x = = 9
Thus when the force is 54 N, the acceleration of the object is 9 m per .
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Option D:
is equivalent to the given expression.
Solution:
Given expression:
To find which expression is equivalent to the given expression.
Using exponent rule:
Using exponent rule:
Using exponent rule:
Divide both numerator and denominator by the common factor 5.
Therefore, is equivalent to the given expression.
Hence Option D is the correct answer.
Answer:
88 shares of Wall-Mart stock,
a) Step-by-step explanation, 22 shares of Mattel stock. b) $192
Given:
Suppose Wall-Mart stock is selling at $59 a share and Mattel stock is selling at $28 a share.
Amy has a maximum of $6000 to invest.
She wishes to purchase four times as many shares of Wall-Mart as of Mattel.
Only whole shares of stock can be purchased.
Question asked:
a) How many shares of each will she purchase?
b) How much money will be left over?
Solution:
Selling price of each share of Wall-Mart stock = $59
Selling price of each share of Mattel stock = $28
Let number of shares of Mattel stock purchased =
Then, number of shares of Wall-Mart stock =
Total money invested =$6000
<u>Shares of Mattel stock </u><u> $28 + Shares of Wall-Mart stock </u>
<u> $59 = $6000</u>
Dividing both sides by 264
<em>That means, total 22 shares of Mattel stock is purchased and 192 is the money left over:-</em>
Number of shares of Wall-Mart stock = =
Total amount spent on Mattel stock shares = 22 $28 = $616
Total amount spent on Wall-mart stock shares = 88 $59 = $5192
Total amount spent on both shares = $616 + $5192 = $5808
Money left over = $6000 - $5808 = $192
a) He will purchase 88 shares of Wall-Mart stock and 22 shares of Mattel stock.
b) Money left over is $192.