Answer:
2.25
Step-by-step explanation:
2.4 - 0.15
Using place value :
2 = Unit (2 wholes)
4 = tenth place ( 4 tenths)
To subtract 0.15
0 wholes ; 1 tenth ; 5 hundredth
1 tenth can be split into 10 separate hundredths
Hence,
For 2.4
We have ;
2 wholes ; 3 tenths and 10 hundredths
Subtracting 0.15 ;0 wholes ; 1 tenth ; 5 hundredth
(2 - 0) wholes = 2 whole
(3 - 1) tenth = 2 tenth
(10 - 5) hundredth = 5 hundredth
Hence, the difference between (2.4 and 0.15) is :
2 whole ; 2 tenth ; 5 hundredth
Which is equal to : 2.25
Answer:
4/25
Step-by-step explanation:
........................................
Answer:
44%
Step-by-step explanation:
If p represents the number of portions and q represents the quantity in each portion, then the original amount needed was p·q.
After p is increased by 20%, its number is ...
p + 0.20·p = 1.20·p
After q is increased by 20%, its amount is ...
q + 0.20 ·q = 1.20·q
Then the new amount the parents must buy is ...
(1.20p)(1.20q) = 1.20²·pq = 1.44pq
This amount is ...
(1 + 44/100)·pq = pq + 44%·pq
It is 44% more than the original planned purchase.
Answer:
10 degrees
Step-by-step explanation:
1.) every triangle has angles that add up to 180 degrees
2.) a right triangle has a right angle and two acute angles
3.) right=90 degrees; acute=<90 degrees
4.) 90+80=170
5.) 180-170=10
ANSWER
x=11
EXPLANATION
We want to solve the equation:

Add -8 to both sides:

Square both sides of the equation to get:


Rewrite in the form ax² +bx+c=0


Factor to get,

This implies that,

Checking for extraneous solutions.
When x=6, the original equation becomes,


2+8= 6 is not true.
x=6 is an extraneous solution.
When x=11, the original equation becomes,



This is true, hence x=11 is the only solution.