The total number of 3 digit even numbers is 450
Step-by-step explanation:
Step 1 :
We need to determine the number of 3 digit numbers which is even and the leftmost digit is not zero .
The 3 digits with left most digit not equal to zero starts from 100 and goes up to 998
If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.
Step 2:
The last number l in this series is 998 .
So we have
a = 100
l = 998
d = 2
The nth term in the arithmetic progression is given by a + (n-1) d
so substituting the above values we get
100 + (n-1) 2 = 998
2n = 900 => n = 450
Step 3 :
Answer :
The total number of 3 digit even numbers is 450
68+70=180
=138=180
=180-138
=42 degrees (using angle sum property of triangles
Hope this helps you
Answer:
84 cups of water will leak out after 2 weeks
Step-by-step explanation:
* Lets how many how to change oz to cup
- One cup contains 8 oz
- We can use the ratio to solve this problem
- A hose is leaking water at a rate of 2 oz/h
- We need to find how many cups of water will leak out after 2 weeks
∵ The rate of the water leak out is 2 oz/hr
∵ 1 cup contains 8 oz
∴ 1 oz = 
cup
∴ 2 oz = 2 × = 
= 
cup
∴ The rate of the water leak out = cup/h
∵ 1 day = 24 hours
∵ 1 week = 7 days
∴ 1 week = 7 × 24 = 168 hours
∵ The number of hours in 1 week is 168
∴ The number of hours in 2 weeks = 168 × 2 = 336 hours
⇒ cups : hours
⇒ : 1
⇒ x : 336
- By using cross multiplication
∴ x = 336 ×
∴ x = 84
- x represents the number of cups of water leak out
<em>84 cups of water will leak out after 2 weeks</em>
You must distribute first, so 3(8p+7r). That will equal 24p +21r. Then you must add all the values together according to like terms, so the variables must match. So simplified it will be 22+24p+30r
Answer:
C
Step-by-step explanation:
interior angle + exterior angle are supplementary
interior angle = 180° - exterior angle
⇒ interior angle = 180° - 135° = 45°
and interior angle = 180° - 100° = 80°
The sum of the 3 angles in a triangle = 180°
To find the third interior angle, subtract the sum of the 2 interior angles from 180
third interior angle = 180° - (45 + 80 )° = 180° - 125° = 55°
interior angles are 45°, 55° and 80°
