, 1. The amount of (2,000 x + 5,000 y + 8,000 z) pesos was divided among 10 sect...

Questions

January 2022 1 2 Report

, 1. The amount of (2,000 x + 5,000 y + 8,000 z) pesos was divided among 10 sections of junior high school students. How much was the share of each section?
2. The first number is (x + 1), and the second number is 2 times the first number. What is their sum?
3. If you have (10x® – 2x + 5) pesos in your wallet and you spend (5x® - 2x + 15) pesos in buying foods, how much money is left in your pocket?
4. The perimeter of a rhombus and a square are equal. If the perimeter of the rhombus is (50x + 8Oxy + 70) cm, how long is the side of the square?
5. A rectangle has the length of (10x + 4) cm and width of (5x + 1) cm. If the width is doubled and the length is tripled, what is the area of the new rectangle?

Answers & Comments

venicaellise

ANSWER:

1.(200x+500y+800z)

2. 3x + 3

3. 5x²-10

4. 200 x³y

5. (x + 7)

Solution:

1. (2000x+5000y+8000z)÷10

=2000x+5000y+8000z

=10(200x+500y+800z)

=(200x+500y+800z)pesos

2. First number: x + 1

Second number: ^2(x + 1)

Add: ^2(x + 1)+ x + 1

=2x + 2 + x + 1

= 3x + 3

3. 10x²-2x+5 - (5x²-2x+15)

10x²-2x+5 -5x²+2x-15

10x²-5x²-2x+2x+5-15

= 5x²-10

4. STEP 1 : 50x²+ 80xy = 130x³y

STEP 2 : 130x³y + 70 CENTIMETERS = 200 x³y CENTIMETERS

5. x² + 10x + 21

(x + 3) (x + 7)

Therefore, the other dimension is x+7 cm.

NOTE: You can also divide the given quadratic expression with x + 3 to obtain the other dimension. You can use long division method or synthetic division. Any method will do.