Answer:
250 boys
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total by 8 to find the value of 1 part of the ratio
400 ÷ 8 = 50 , then
number of boys = 5 × 50 = 250
Answer:
854/3
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 1708 and 6 is 2
Divide both the numerator and denominator by the GCD
1708 ÷ 2
6 ÷ 2
Multiply the number by 100, making this one 115%
Answer:
2x + 3 )(x + 2 )
Step-by-step explanation:
2x² + 7x + 6
Find two numbers multiplied together to get 6
and if you multiply one by 2, the answer is 7:
Tested:
6 & 1 but 6 · 2 + 1 = 13 or 6 + 2 · 1 = 8 No
2 & 3 and 2 · 2 + 3 = 7 Yes
2x² = 2x & x
all signs are positive
trinomial factoring ( )( )
( + )( + )
2 and 3 are the numbers to use (2x + 3 )(x + 2 ) or (2x + 2) (x + 3)
The largest number goes with the 2x.
Therefore (2x + 3 )(x + 2 )
Check 2x(x + 2) + 3(x + 2)
2x² + 4x + 3x + 6
2x² + 7x + 6 checked
a, b, c - sides of a triangle
Therefore:
a + b > c
a + c > b
b + c > a
---------------------------------
We have a = AB, b = 140mi, c = 100mi.
(1) a + b > c
AB + 140 > 100 <em>subtract 140 from both sides</em>
AB > -40 → AB > 0
----------
(2) a + c > b
AB + 100 > 140 <em>subtract 100 from both sides</em>
AB > 40
-----------
(3) b + c > a → a < b + c
AB < 140 + 100
AB < 240
<h3>Answer: 40 < AB < 240</h3>
