DAG-CDO-MathFeb24

What do you get if you subtract 4y²-5y+2 from 6y²-5?

• 10y²-5y-3

• 2y²+5y-3

• 10y²+5y-7

• 2y²=5-7

• none

Answer explanation

To subtract 4y²-5y+2 from 6y²-5, we subtract the corresponding terms. The correct choice is 2y²+5y-3.

Which is the simplest form of 8-(-4)²x3+9(-3)?

• -27

• -43

• -11

• 32

• none

Answer explanation

To simplify the expression, start by solving the exponent: (-4)² = 16. Then, perform the multiplication: 16x3 = 48. Next, calculate the product of 9 and -3: 9(-3) = -27. Finally, subtract 27 from 48 to get 21. Therefore, the correct answer is -27.

If x=4 and y=-3, what is the value of the expression x²+2xy-4x+3y/y²?

• -113

• -111

• -889 / 9

• -53 / 3

• none

Answer explanation

To find the value of the expression, substitute x=4 and y=-3. Simplify the expression to get -53/3. Therefore, the correct answer is -53/3.

Which gives the quantity for "the time it takes to read a novel that is x page long at a rate of y page per hour"?

• (x+y) hours

• x/y hours

• y/x hours

• xy hours

• none

Answer explanation

The quantity for 'the time it takes to read a novel that is x page long at a rate of y page per hour' is x/y hours.

Sgt. Crisologo bought X number of notebooks at P 25.00 each, Y pad papers at P 22.15 each and Z ballpens at P 9.45 each. If he gave an amount of P 500.00 to the cashier, which equation could tell the change that he would get?

• P500.00 -(25.00+22.15+9.45)

• P500.00 -(25.00+22.15+9.45((XYZ)

• P500.00 -(25.00X + 22.15Y + 9.45Z)

• P500.00 - (25.00X)(22.15Y)(9.45Z)

• none

Answer explanation

The equation P500.00 -(25.00X + 22.15Y + 9.45Z) correctly calculates the change Sgt. Crisologo would get after buying X notebooks, Y pad papers, and Z ballpens.

N is less than the square of the sum of the quotient of x and y and the product of x and y. Which equation expresses this relationship?

• N=7-(x/y+xy)²

• N=(x/y+xy-7)²

• N=(7-x/y+xy)²

• N=(x/y+xy)²-7

• none

Answer explanation

The equation N=(x/y+xy)²-7 expresses the relationship because it subtracts 7 from the square of the sum of the quotient of x and y and the product of x and y.

A woman spends here day for recreation, sleep, and work in the ratio 1:2:5. how many hours does she spend sleeping?

• 15 hours

• 6 hours

• 4 hours

• 3 hours

• none

Answer explanation

The woman spends 1 part of her day sleeping out of a total of 1+2+5=8 parts. Therefore, she spends 2/8 of her day sleeping, which is 6 hours.

A number was decreased by 10% and then the result was increased by 20%. If the result was 3240, what was the original number?

• 2597
• 2716
• 3000
• 3150
• none

Mr. Aguirre has 40 bills consisting of 50-peso bills and 20-peso bills, the total value of which is Php 1,550.00. How Many 20-peso bills does he have?

• 10

• 15

• 20

• 25

• none

Answer explanation

To find the number of 20-peso bills, subtract the value of the 50-peso bills from the total and divide by 30 (50-20). (1550 - (40*50)) / 30 = 15

Jess is 5 years older than Rose. Six years from now, the sum of their ages will be 37. how old is jess now?

• 21

• 16

• 15

• 10

• none

Answer explanation

Jess is 5 years older than Rose, so let's assume Rose's age is x. Jess's age is x + 5. In 6 years, their ages will be x + 6 + (x + 5 + 6) = 37. Solving, x = 11, so Jess is currently 11 + 5 = 16 years old.