Answer:
<em>2 solutions</em>
Step-by-step explanation:
Given the expression
2m/2m+3 - 2m/2m-3 = 1
Find the LCM of the expression at the left hand side:
2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1
open the bracket
4m²-6m-4m²-6m/(4m²-9) = 1
Cross multiply
4m²-6m-4m²-6m = 4m² - 9
-12m = 4m² - 9
4m² - 9+12m = 0
4m² +12m-9 = 0
<em>Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2</em>
1)V=Ixwxh
=5 cm x 3 cm x 2 cm
=30 cm³
2)V=bxh
=(10m x 6m) x 4m
= 60 m² x4 m
3)V=Ixwxh
=3 cm x 3 cm x 3 cm =27 cm³
=240 m³
Answer:
17 cm
Step-by-step explanation:
P=2L+2W
L=22, P=78 we want to find W
78=2(22)+2W
78=44+2W
34=2W
W=17 cm
Answer:
Joey has 18 nickles and 27 dimes in his piggy bank.
Step-by-step explanation:
1 nickle = 5 cents
1 dime = 10 cents
$1 = 100 cents
$3.15 = 135 cents
Let
n represent the number of nickles, n>=0
d represent the number of dimes, d>=0
Joey counted a total of 45 coins that added up to $3.15:
n + d = 45
5n + 10d = 315
n = 18 nickles
d = 27 dimes