Answer:

Step-by-step explanation:
Slope intercept form: y = mx + b
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (-5 - (-4)) / (0 - 4)
= -1 / -4
= 1/4
Find y intercept using anyone of the given points and slope from above:
y = mx + b

b = -5
Now use the above slope and y intercept to create equation of a line:

2/5 are girls, therefore 3/5 are boys
3/5 = 24
1/5 = 24 ÷ 3 = 8
2/5 = 8 x 2 = 16
Altogether = 16 + 24 = 40
24 - 1 6 = 8
There are 40 children altogether
There are 8 more boys than girls.
Answer:
The first prize is $800.
Explanation:
Third price = $50
The second price = $50(4) = $200
The first prize = 4($200) = $800
Answer:
=x<-7
If they're asking for work, I'd be glad to show.
Answer: 3/5
Step-by-step explanation: Notice that the fractions that we are comparing in this problem have different denominators. When fractions have different denominators, they are called unlike fractions.
To compare unlike fractions, we must first get a common denominator. The common denominator of 3 and 5 will be the least common multiple of 3 and 5 or 15.
To get a 15 in the denominator of 1/3, we multiply the numerator and the denominator by 5 which gives us 5/15.
To get a 15 in the denominator of 3/5, we multiply the numerator and the denominator by 3 which gives us 9/15.
Notice that we now have like fractions since both fractions have a 15 in the denominator.
To compare like fractions, we simply look at the numerators.
9/15 - 5/15
Since 9 is greater than 5, 9/15 is greater than 5/15.
This means that 3/5 is bigger than 1/3.