Answer:
6th week with $32
Step-by-step explanation:
Since both plan on adding or spending money weekly at a constant rate, this is a linear situation. Both Tommy's and Joey's money can be modeled with a line on a graph and linear equations.
Tommy's starting amount is $8 and this is the y-intercept so b=8. His rate of change is adding $4 per week. This is a slope of 4. His equation is y=4x+8.
Joey's starting amount is $44 and this is the y-intercept so b=44. His rate of change is subtracting $2 a week for each app he buys. This is a slope of -2. His equation is y=-2x+44.
To find when they have the same amount means when the amounts are equal. Solve 4x+8=-2x+44.
4x+8=-2x+44
6x+8=44
6x=36
x=6 weeks
To find how much money there is in 6 weeks, plug x=6 into one of the equations.
4(6)+8 = 24+8 = 32
A) the hourly rate is $15
b) each triangle is twice as big as the one before, giving a 1:2 ratio.
c) the slope is 15
Answer:
C
Step-by-step explanation:
there is the ground line of about -5.5 to +5.5 = 11 ft.
then the 2 walls of 7 ft height = 14 ft.
that is already 25 ft.
the 2 roof sides are both a little bit longer than the corresponding ground line of 5.5ft.
so, estimated about 6ft per roof side. that adds 12 ft.
so, we are at about 37 ft.
and the closest answer is C. 36 ft.
in actual numbers a roof side is (using Pythagoras) :
roof side² = 2.5² + 5.5² = 6.25 + 30.25 = 36.5
roof side = 6.041522987... ft
so, the actual perimeter is
25 + 2×6.041522987... = 37.08304597... ft
Answer:
58
Step-by-step explanation:
Since, T is the mid point of PQ,