Answer:
There are 5 cats and 6 children
Step-by-step explanation:
Let x = number of cats
Let y= number of children
Counting heads gives 11
X+Y = 11 .....eq1
Counting feet gives 32
Cats has 4legs,child has 2 legs
4X + 2Y=32 ....eq2
X = 11 - Y
Put in eq2
4(11-Y) + 2Y = 32
44 - 4Y + 2Y=32
12=2Y
Y=12/2=6
Y=6= Children
Put Y=6 in eq2
X + 6=11
X=11-6=5
X= 5 = cats
Answer:
15 cubes
Step-by-step explanation:
If volume of the prism = 15
then volume of one cube = 1 × 1 × 1
Volume(1 cube) = 1
Then divide the volume of one cube into the volume of the prism,
15 ÷ 1 = 15 cubes
Answer:
Step-by-step explanation:
Given
Fireplace is in the form of semi-ellipse with height of 3 ft from center
Length of base=8 ft
if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis
2 a =8
a=4 ft
If contractor cover the whole base
then total length of string=2a =8 ft
(b)String should be nailed at focus
focus of ellipse is a e
where e=eccentricity


Focus 
Thus string should be nailed at 2.64 m from center
0.7 as a fraction would be 7/10