Answer:
15.5x - 300 >= 280
Step-by-step explanation:
Let x = the number of hours she works.
The amount of money she earns will be 15.50x
Her rent costs $300, so that value gets subtracted from the amount she earns. That makes our expression for how much money she earns:
15.5x - 300
This amount has to be over 280, so our inequality will be:
15.5x - 300 >= 280
Answer:
10 miles
Step-by-step explanation:
d=√8²+6²=√100= 10 miles
Answer:
x = 30 and y = -34
Step-by-step explanation:
Given the following functions
(1/4)^(x+y) = 256... 1
log₄(x-y) = 3.... 2
From equation 2;
x-y = 4³
x-y = 64
x = 64 + y ... 3
Substitutw 3 into 1
From 1:
(1/4)^(x+y) = 256
(1/4)^(64+y+y) = 256
(1/4)^(64+2y) = 256
Take log₄ of both sides
64+2y log₄ (1/4) = log₄256
-(64+2y) = 4log₄4
-(64+2y) = 4
64+2y = -4
2y = -4 - 64
2y = -68
y = -34
Since
x = 64 + y .
x = 64 - 34
x = 30
Hence x = 30 and y = -34
This is a right angle triangle problem
drawing a vertical line at from the point where the ramp touches the car park leaves a right angle triangle with the
opposite being 2m
hypothenus being 10m
adjacent unknown
we could use sine
SineO equal to opposite over hypothenus
SineO equal to 2/10
SineO equal to 0.2
O equal to Sine^1(0.2)
O equal to 11 .5
The angle between the ramp and the horizontal is 11.5 degrees
imagine 135/5
which = 27
Emma has 27 of her 5 pence coins