8. Mother used 1% kg of lean meat and 24 kg of ribs. How much meat did she use in all? What is asked in the problem? A total number of meat left C. number of lean meat used B. total number of meat used D. number of ribs used 9. What is the equation for the problem? A. 13/4 + 2/4 = N B. 1 3/4 - 2/4 = N C.1 3/4 x 214 = N 0.1% +214 = N 10. The answer for the problem is A. 1 3/4kg B. 2 1/2kg C.2 1/4kg D. 1 5/8kg 11. The family spent 4 2/3 hours traveling in the morning and 5 4 hours in the afternoon. How long did they travel? What are the given in the problem? A. 4 2/3, 5 1/4 B. 4 2/3, 1/4 C. 1/4, 2/3 D. 4. 2/3 12. What is % of 280? A. 120 B. 130 C. 140 D. 150 13. Find the product of % x 80? A. 20 B. 40 C. 60 D. 80 14. What number can we get when we multiply 4/5 by 250? A 130 B. 140 C. 200 D. 230 15. What is the answer to 2/3 of 180? A 60 B. 120 C. 180 D. 190

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

the answer

b. they are parallel and will never intersect.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240