Answer:
James is 37, Rob is 44, and Kate is 35
Step-by-step explanation:
Set up an equation where x is James' age:
Rob's age can be represented by x + 7, since he is 7 years older than James
Kate's age can be represented by x - 2, since she is 2 years younger than James
Add these together in the equation and set it equal to 116:
(x + 7) + (x - 2) + (x) = 116
Add like terms and solve for x:
(x + 7) + (x - 2) + (x) = 116
3x + 5 = 116
3x = 111
x = 37
So, James is 37.
Find Rob's age by adding 7 to this:
37 + 7
= 44
Find Kate's age by subtracting 2:
37 - 2
= 35
So, James is 37, Rob is 44, and Kate is 35
Any line parallel to this line can be written as y=-2/3x+c and passes through (9,6).thus 6=-2/3(9)+c.c-6=6.c=12.equation is y=-2/3x+12.
Answer:
It is boxes of cereal and bags of pretzels.
Step-by-step explanation:
Boxes of cereal costs $3.95 per box and pretzels cost $3.59 per bag. This is because 15.8÷4= $3.95 and 10.77÷3= $3.59
Solution:
As we have to write an expression , which evaluates to true if the value of the integer variable x is divisible (with no remainder) by the integer variable y, y≠0.
so, when x is divided by y we should get remainder as 0.
Using Euclid division lemma
x= y* q + m, i.e when an integer x is divided by y gives quotient q and remainder m.
Here , m=0
So, x = q * y
So, the expression which describes the above relationship is ,
, where q is Quotient.
P(TTTTT)=P(T)*P(T)*(PT)*P(T)*P(T)
P(TTTTT)=(P(T))^5
P(T)=1/2 so
P(TTTTT)=(1/2)^5
P(TTTTT)=1/32
P(TTTTT)=3.125%
